0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.32	% Computer : n031.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1920
0.12/0.32	% WCLimit    : 240
0.12/0.32	% DateTime   : Wed Jul 30 05:19:34 EDT 2025
0.12/0.33	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.50	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p
1.82/0.98	# Version: 3.0.0-ho
1.82/0.98	# Preprocessing class: HSLMSLSSLLLCHFA.
1.82/0.98	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.82/0.98	# Starting ehoh_best5 with 240s (1) cores
1.82/0.98	# Starting almost_fo_3_lam with 240s (1) cores
1.82/0.98	# Starting new_bool_5 with 240s (1) cores
1.82/0.98	# Starting pre_casc_3 with 240s (1) cores
1.82/0.98	# Starting ho_unfolding_8 with 240s (1) cores
1.82/0.98	# Starting new_ho_10_cnf2 with 240s (1) cores
1.82/0.98	# Starting new_bool_3 with 240s (1) cores
1.82/0.98	# Starting new_ho_5 with 240s (1) cores
1.82/0.98	# new_ho_10_cnf2 with pid 21481 completed with status 0
1.82/0.98	# Result found by new_ho_10_cnf2
1.82/0.98	# Preprocessing class: HSLMSLSSLLLCHFA.
1.82/0.98	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.82/0.98	# Starting ehoh_best5 with 240s (1) cores
1.82/0.98	# Starting almost_fo_3_lam with 240s (1) cores
1.82/0.98	# Starting new_bool_5 with 240s (1) cores
1.82/0.98	# Starting pre_casc_3 with 240s (1) cores
1.82/0.98	# Starting ho_unfolding_8 with 240s (1) cores
1.82/0.98	# Starting new_ho_10_cnf2 with 240s (1) cores
1.82/0.98	# No SInE strategy applied
1.82/0.98	# Search class: HGHSM-FSLM32-MHFMMSBN
1.82/0.98	# Scheduled 9 strats onto 1 cores with 240 seconds (240 total)
1.82/0.98	# Starting ho_unfolding_8 with 49s (1) cores
1.82/0.98	# ho_unfolding_8 with pid 21490 completed with status 0
1.82/0.98	# Result found by ho_unfolding_8
1.82/0.98	# Preprocessing class: HSLMSLSSLLLCHFA.
1.82/0.98	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.82/0.98	# Starting ehoh_best5 with 240s (1) cores
1.82/0.98	# Starting almost_fo_3_lam with 240s (1) cores
1.82/0.98	# Starting new_bool_5 with 240s (1) cores
1.82/0.98	# Starting pre_casc_3 with 240s (1) cores
1.82/0.98	# Starting ho_unfolding_8 with 240s (1) cores
1.82/0.98	# Starting new_ho_10_cnf2 with 240s (1) cores
1.82/0.98	# No SInE strategy applied
1.82/0.98	# Search class: HGHSM-FSLM32-MHFMMSBN
1.82/0.98	# Scheduled 9 strats onto 1 cores with 240 seconds (240 total)
1.82/0.98	# Starting ho_unfolding_8 with 49s (1) cores
1.82/0.98	# Preprocessing time       : 0.037 s
1.82/0.98	# Presaturation interreduction done
1.82/0.98	
1.82/0.98	# Proof found!
1.82/0.98	# SZS status Theorem
1.82/0.98	# SZS output start CNFRefutation
1.82/0.98	thf(decl_23, type, in: $i > $i > $o).
1.82/0.98	thf(decl_24, type, exu: ($i > $o) > $o).
1.82/0.98	thf(decl_25, type, setextAx: $o).
1.82/0.98	thf(decl_26, type, emptyset: $i).
1.82/0.98	thf(decl_27, type, emptysetAx: $o).
1.82/0.98	thf(decl_28, type, setadjoin: $i > $i > $i).
1.82/0.98	thf(decl_29, type, setadjoinAx: $o).
1.82/0.98	thf(decl_30, type, powerset: $i > $i).
1.82/0.98	thf(decl_31, type, powersetAx: $o).
1.82/0.98	thf(decl_32, type, setunion: $i > $i).
1.82/0.98	thf(decl_33, type, setunionAx: $o).
1.82/0.98	thf(decl_34, type, omega: $i).
1.82/0.98	thf(decl_35, type, omega0Ax: $o).
1.82/0.98	thf(decl_36, type, omegaSAx: $o).
1.82/0.98	thf(decl_37, type, omegaIndAx: $o).
1.82/0.98	thf(decl_38, type, replAx: $o).
1.82/0.98	thf(decl_39, type, foundationAx: $o).
1.82/0.98	thf(decl_40, type, wellorderingAx: $o).
1.82/0.98	thf(decl_41, type, descr: ($i > $o) > $i).
1.82/0.98	thf(decl_42, type, descrp: $o).
1.82/0.98	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_44, type, dsetconstrI: $o).
1.82/0.98	thf(decl_45, type, dsetconstrEL: $o).
1.82/0.98	thf(decl_46, type, dsetconstrER: $o).
1.82/0.98	thf(decl_47, type, exuE1: $o).
1.82/0.98	thf(decl_48, type, prop2set: $o > $i).
1.82/0.98	thf(decl_49, type, prop2setE: $o).
1.82/0.98	thf(decl_50, type, emptysetE: $o).
1.82/0.98	thf(decl_51, type, emptysetimpfalse: $o).
1.82/0.98	thf(decl_52, type, notinemptyset: $o).
1.82/0.98	thf(decl_53, type, exuE3e: $o).
1.82/0.98	thf(decl_54, type, setext: $o).
1.82/0.98	thf(decl_55, type, emptyI: $o).
1.82/0.98	thf(decl_56, type, noeltsimpempty: $o).
1.82/0.98	thf(decl_57, type, setbeta: $o).
1.82/0.98	thf(decl_58, type, nonempty: $i > $o).
1.82/0.98	thf(decl_59, type, nonemptyE1: $o).
1.82/0.98	thf(decl_60, type, nonemptyI: $o).
1.82/0.98	thf(decl_61, type, nonemptyI1: $o).
1.82/0.98	thf(decl_62, type, setadjoinIL: $o).
1.82/0.98	thf(decl_63, type, emptyinunitempty: $o).
1.82/0.98	thf(decl_64, type, setadjoinIR: $o).
1.82/0.98	thf(decl_65, type, setadjoinE: $o).
1.82/0.98	thf(decl_66, type, setadjoinOr: $o).
1.82/0.98	thf(decl_67, type, setoftrueEq: $o).
1.82/0.98	thf(decl_68, type, powersetI: $o).
1.82/0.98	thf(decl_69, type, emptyinPowerset: $o).
1.82/0.98	thf(decl_70, type, emptyInPowerset: $o).
1.82/0.98	thf(decl_71, type, powersetE: $o).
1.82/0.98	thf(decl_72, type, setunionI: $o).
1.82/0.98	thf(decl_73, type, setunionE: $o).
1.82/0.98	thf(decl_74, type, subPowSU: $o).
1.82/0.98	thf(decl_75, type, exuE2: $o).
1.82/0.98	thf(decl_76, type, nonemptyImpWitness: $o).
1.82/0.98	thf(decl_77, type, uniqinunit: $o).
1.82/0.98	thf(decl_78, type, notinsingleton: $o).
1.82/0.98	thf(decl_79, type, eqinunit: $o).
1.82/0.98	thf(decl_80, type, singletonsswitch: $o).
1.82/0.98	thf(decl_81, type, upairsetE: $o).
1.82/0.98	thf(decl_82, type, upairsetIL: $o).
1.82/0.98	thf(decl_83, type, upairsetIR: $o).
1.82/0.98	thf(decl_84, type, emptyE1: $o).
1.82/0.98	thf(decl_85, type, vacuousDall: $o).
1.82/0.98	thf(decl_86, type, quantDeMorgan1: $o).
1.82/0.98	thf(decl_87, type, quantDeMorgan2: $o).
1.82/0.98	thf(decl_88, type, quantDeMorgan3: $o).
1.82/0.98	thf(decl_89, type, quantDeMorgan4: $o).
1.82/0.98	thf(decl_90, type, prop2setI: $o).
1.82/0.98	thf(decl_91, type, set2prop: $i > $o).
1.82/0.98	thf(decl_92, type, prop2set2propI: $o).
1.82/0.98	thf(decl_93, type, notdexE: $o).
1.82/0.98	thf(decl_94, type, notdallE: $o).
1.82/0.98	thf(decl_95, type, exuI1: $o).
1.82/0.98	thf(decl_96, type, exuI3: $o).
1.82/0.98	thf(decl_97, type, exuI2: $o).
1.82/0.98	thf(decl_98, type, inCongP: $o).
1.82/0.98	thf(decl_99, type, in__Cong: $o).
1.82/0.98	thf(decl_100, type, exuE3u: $o).
1.82/0.98	thf(decl_101, type, exu__Cong: $o).
1.82/0.98	thf(decl_102, type, emptyset__Cong: $o).
1.82/0.98	thf(decl_103, type, setadjoin__Cong: $o).
1.82/0.98	thf(decl_104, type, powerset__Cong: $o).
1.82/0.98	thf(decl_105, type, setunion__Cong: $o).
1.82/0.98	thf(decl_106, type, omega__Cong: $o).
1.82/0.98	thf(decl_107, type, exuEu: $o).
1.82/0.98	thf(decl_108, type, descr__Cong: $o).
1.82/0.98	thf(decl_109, type, dsetconstr__Cong: $o).
1.82/0.98	thf(decl_110, type, subset: $i > $i > $o).
1.82/0.98	thf(decl_113, type, subsetI1: $o).
1.82/0.98	thf(decl_114, type, eqimpsubset2: $o).
1.82/0.98	thf(decl_115, type, eqimpsubset1: $o).
1.82/0.98	thf(decl_116, type, subsetI2: $o).
1.82/0.98	thf(decl_117, type, emptysetsubset: $o).
1.82/0.98	thf(decl_118, type, subsetE: $o).
1.82/0.98	thf(decl_119, type, subsetE2: $o).
1.82/0.98	thf(decl_120, type, notsubsetI: $o).
1.82/0.98	thf(decl_121, type, notequalI1: $o).
1.82/0.98	thf(decl_122, type, notequalI2: $o).
1.82/0.98	thf(decl_123, type, subsetRefl: $o).
1.82/0.98	thf(decl_124, type, subsetTrans: $o).
1.82/0.98	thf(decl_125, type, setadjoinSub: $o).
1.82/0.98	thf(decl_126, type, setadjoinSub2: $o).
1.82/0.98	thf(decl_127, type, subset2powerset: $o).
1.82/0.98	thf(decl_128, type, setextsub: $o).
1.82/0.98	thf(decl_129, type, subsetemptysetimpeq: $o).
1.82/0.98	thf(decl_130, type, powersetI1: $o).
1.82/0.98	thf(decl_131, type, powersetE1: $o).
1.82/0.98	thf(decl_132, type, inPowerset: $o).
1.82/0.98	thf(decl_133, type, powersetsubset: $o).
1.82/0.98	thf(decl_134, type, sepInPowerset: $o).
1.82/0.98	thf(decl_135, type, sepSubset: $o).
1.82/0.98	thf(decl_136, type, binunion: $i > $i > $i).
1.82/0.98	thf(decl_137, type, binunionIL: $o).
1.82/0.98	thf(decl_138, type, upairset2IR: $o).
1.82/0.98	thf(decl_139, type, binunionIR: $o).
1.82/0.98	thf(decl_140, type, binunionEcases: $o).
1.82/0.98	thf(decl_141, type, binunionE: $o).
1.82/0.98	thf(decl_142, type, binunionLsub: $o).
1.82/0.98	thf(decl_143, type, binunionRsub: $o).
1.82/0.98	thf(decl_144, type, binintersect: $i > $i > $i).
1.82/0.98	thf(decl_145, type, binintersectI: $o).
1.82/0.98	thf(decl_146, type, binintersectSubset5: $o).
1.82/0.98	thf(decl_147, type, binintersectEL: $o).
1.82/0.98	thf(decl_148, type, binintersectLsub: $o).
1.82/0.98	thf(decl_149, type, binintersectSubset2: $o).
1.82/0.98	thf(decl_150, type, binintersectSubset3: $o).
1.82/0.98	thf(decl_151, type, binintersectER: $o).
1.82/0.98	thf(decl_152, type, disjointsetsI1: $o).
1.82/0.98	thf(decl_153, type, binintersectRsub: $o).
1.82/0.98	thf(decl_154, type, binintersectSubset4: $o).
1.82/0.98	thf(decl_155, type, binintersectSubset1: $o).
1.82/0.98	thf(decl_156, type, bs114d: $o).
1.82/0.98	thf(decl_158, type, setminus: $i > $i > $i).
1.82/0.98	thf(decl_159, type, setminusI: $o).
1.82/0.98	thf(decl_160, type, setminusEL: $o).
1.82/0.98	thf(decl_161, type, setminusER: $o).
1.82/0.98	thf(decl_162, type, setminusSubset2: $o).
1.82/0.98	thf(decl_163, type, setminusERneg: $o).
1.82/0.98	thf(decl_164, type, setminusELneg: $o).
1.82/0.98	thf(decl_165, type, setminusILneg: $o).
1.82/0.98	thf(decl_166, type, setminusIRneg: $o).
1.82/0.98	thf(decl_167, type, setminusLsub: $o).
1.82/0.98	thf(decl_168, type, setminusSubset1: $o).
1.82/0.98	thf(decl_169, type, symdiff: $i > $i > $i).
1.82/0.98	thf(decl_170, type, symdiffE: $o).
1.82/0.98	thf(decl_171, type, symdiffI1: $o).
1.82/0.98	thf(decl_172, type, symdiffI2: $o).
1.82/0.98	thf(decl_173, type, symdiffIneg1: $o).
1.82/0.98	thf(decl_174, type, symdiffIneg2: $o).
1.82/0.98	thf(decl_175, type, iskpair: $i > $o).
1.82/0.98	thf(decl_176, type, secondinupair: $o).
1.82/0.98	thf(decl_177, type, setukpairIL: $o).
1.82/0.98	thf(decl_178, type, setukpairIR: $o).
1.82/0.98	thf(decl_179, type, kpairiskpair: $o).
1.82/0.98	thf(decl_180, type, kpair: $i > $i > $i).
1.82/0.98	thf(decl_181, type, kpairp: $o).
1.82/0.98	thf(decl_182, type, cartprod: $i > $i > $i).
1.82/0.98	thf(decl_183, type, singletonsubset: $o).
1.82/0.98	thf(decl_184, type, singletoninpowerset: $o).
1.82/0.98	thf(decl_185, type, singletoninpowunion: $o).
1.82/0.98	thf(decl_186, type, upairset2E: $o).
1.82/0.98	thf(decl_187, type, upairsubunion: $o).
1.82/0.98	thf(decl_188, type, upairinpowunion: $o).
1.82/0.98	thf(decl_189, type, ubforcartprodlem1: $o).
1.82/0.98	thf(decl_190, type, ubforcartprodlem2: $o).
1.82/0.98	thf(decl_191, type, ubforcartprodlem3: $o).
1.82/0.98	thf(decl_192, type, cartprodpairin: $o).
1.82/0.98	thf(decl_193, type, cartprodmempair1: $o).
1.82/0.98	thf(decl_194, type, cartprodmempair: $o).
1.82/0.98	thf(decl_195, type, setunionE2: $o).
1.82/0.98	thf(decl_196, type, setunionsingleton1: $o).
1.82/0.98	thf(decl_197, type, setunionsingleton2: $o).
1.82/0.98	thf(decl_198, type, setunionsingleton: $o).
1.82/0.98	thf(decl_199, type, singleton: $i > $o).
1.82/0.98	thf(decl_200, type, singletonprop: $o).
1.82/0.98	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
1.82/0.98	thf(decl_202, type, ex1E1: $o).
1.82/0.98	thf(decl_203, type, ex1I: $o).
1.82/0.98	thf(decl_204, type, ex1I2: $o).
1.82/0.98	thf(decl_205, type, singletonsuniq: $o).
1.82/0.98	thf(decl_210, type, setukpairinjL1: $o).
1.82/0.98	thf(decl_211, type, kfstsingleton: $o).
1.82/0.98	thf(decl_212, type, theprop: $o).
1.82/0.98	thf(decl_213, type, kfst: $i > $i).
1.82/0.98	thf(decl_214, type, kfstpairEq: $o).
1.82/0.98	thf(decl_215, type, cartprodfstin: $o).
1.82/0.98	thf(decl_216, type, setukpairinjL2: $o).
1.82/0.98	thf(decl_217, type, setukpairinjL: $o).
1.82/0.98	thf(decl_218, type, setukpairinjR11: $o).
1.82/0.98	thf(decl_219, type, setukpairinjR12: $o).
1.82/0.98	thf(decl_220, type, setukpairinjR1: $o).
1.82/0.98	thf(decl_221, type, upairequniteq: $o).
1.82/0.98	thf(decl_222, type, setukpairinjR2: $o).
1.82/0.98	thf(decl_223, type, setukpairinjR: $o).
1.82/0.98	thf(decl_224, type, ksndsingleton: $o).
1.82/0.98	thf(decl_225, type, ksnd: $i > $i).
1.82/0.98	thf(decl_226, type, ksndpairEq: $o).
1.82/0.98	thf(decl_227, type, kpairsurjEq: $o).
1.82/0.98	thf(decl_228, type, cartprodsndin: $o).
1.82/0.98	thf(decl_229, type, cartprodpairmemEL: $o).
1.82/0.98	thf(decl_230, type, cartprodpairmemER: $o).
1.82/0.98	thf(decl_231, type, cartprodmempaircEq: $o).
1.82/0.98	thf(decl_232, type, cartprodfstpairEq: $o).
1.82/0.98	thf(decl_233, type, cartprodsndpairEq: $o).
1.82/0.98	thf(decl_234, type, cartprodpairsurjEq: $o).
1.82/0.98	thf(decl_235, type, breln: $i > $i > $i > $o).
1.82/0.98	thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.82/0.98	thf(decl_237, type, dpsetconstrI: $o).
1.82/0.98	thf(decl_238, type, dpsetconstrSub: $o).
1.82/0.98	thf(decl_239, type, setOfPairsIsBReln: $o).
1.82/0.98	thf(decl_240, type, dpsetconstrERa: $o).
1.82/0.98	thf(decl_241, type, dpsetconstrEL1: $o).
1.82/0.98	thf(decl_242, type, dpsetconstrEL2: $o).
1.82/0.98	thf(decl_243, type, dpsetconstrER: $o).
1.82/0.98	thf(decl_244, type, func: $i > $i > $i > $o).
1.82/0.98	thf(decl_245, type, funcSet: $i > $i > $i).
1.82/0.98	thf(decl_246, type, funcImageSingleton: $o).
1.82/0.98	thf(decl_247, type, apProp: $o).
1.82/0.98	thf(decl_248, type, ap: $i > $i > $i > $i > $i).
1.82/0.98	thf(decl_249, type, app: $o).
1.82/0.98	thf(decl_250, type, epred1_0: $o).
1.82/0.98	thf(decl_251, type, esk1_2: $i > $i > $i).
1.82/0.98	thf(decl_252, type, esk2_2: $i > $i > $i).
1.82/0.98	thf(decl_253, type, esk3_2: $i > $i > $i).
1.82/0.98	thf(decl_254, type, esk4_1: $i > $i).
1.82/0.98	thf(decl_255, type, esk5_2: ($i > $i > $o) > $i > $i).
1.82/0.98	thf(decl_256, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
1.82/0.98	thf(decl_257, type, esk7_2: ($i > $i > $o) > $i > $i).
1.82/0.98	thf(decl_258, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
1.82/0.98	thf(decl_259, type, esk9_1: $i > $i).
1.82/0.98	thf(decl_260, type, esk10_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_261, type, esk11_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_262, type, esk12_1: ($i > $o) > $i).
1.82/0.98	thf(decl_263, type, esk13_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_264, type, esk14_1: ($i > $o) > $i).
1.82/0.98	thf(decl_265, type, esk15_2: $i > $i > $i).
1.82/0.98	thf(decl_266, type, esk16_2: $i > $i > $i).
1.82/0.98	thf(decl_267, type, esk17_1: $i > $i).
1.82/0.98	thf(decl_268, type, esk18_1: $i > $i).
1.82/0.98	thf(decl_269, type, esk19_1: $i > $i).
1.82/0.98	thf(decl_270, type, esk20_2: $i > $i > $i).
1.82/0.98	thf(decl_271, type, esk21_3: $i > $i > $o > $i).
1.82/0.98	thf(decl_272, type, esk22_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_273, type, esk23_1: ($i > $o) > $i).
1.82/0.98	thf(decl_274, type, esk24_1: $i > $i).
1.82/0.98	thf(decl_275, type, esk25_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_276, type, esk26_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_277, type, esk27_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_278, type, esk28_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_279, type, esk29_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_280, type, esk30_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_281, type, esk31_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_282, type, esk32_1: ($i > $o) > $i).
1.82/0.98	thf(decl_283, type, esk33_1: ($i > $o) > $i).
1.82/0.98	thf(decl_284, type, esk34_1: ($i > $o) > $i).
1.82/0.98	thf(decl_285, type, esk35_1: ($i > $o) > $i).
1.82/0.98	thf(decl_286, type, esk36_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_287, type, esk37_1: ($i > $o) > $i).
1.82/0.98	thf(decl_288, type, esk38_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_289, type, esk39_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_290, type, esk40_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_291, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_292, type, esk42_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_293, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_294, type, esk44_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_295, type, esk45_2: ($i > $o) > $i > $i).
1.82/0.98	thf(decl_296, type, esk46_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_297, type, esk47_2: ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_298, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_299, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_300, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_301, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1.82/0.98	thf(decl_302, type, esk52_2: $i > $i > $i).
1.82/0.98	thf(decl_303, type, esk53_2: $i > $i > $i).
1.82/0.98	thf(decl_304, type, esk54_2: $i > $i > $i).
1.82/0.98	thf(decl_305, type, esk55_3: $i > $i > $i > $i).
1.82/0.98	thf(decl_306, type, esk56_3: $i > $i > $i > $i).
1.82/0.98	thf(decl_307, type, esk57_2: $i > $i > $i).
1.82/0.98	thf(decl_308, type, esk58_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_309, type, esk59_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_310, type, esk60_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_311, type, esk61_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_312, type, esk62_3: $i > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_313, type, esk63_3: $i > ($i > $o) > $i > $i).
1.82/0.98	thf(decl_314, type, esk64_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_315, type, esk65_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_316, type, esk66_2: $i > ($i > $o) > $i).
1.82/0.98	thf(decl_317, type, esk67_1: $i > $i).
1.82/0.98	thf(decl_318, type, esk68_1: $i > $i).
1.82/0.98	thf(decl_319, type, esk69_3: $i > $i > $i > $i).
1.82/0.98	thf(decl_320, type, esk70_4: $i > $i > $i > $i > $i).
1.82/0.98	thf(decl_321, type, esk71_3: $i > $i > $i > $i).
1.82/0.98	thf(decl_322, type, esk72_3: $i > $i > $i > $i).
1.82/0.98	thf(decl_323, type, esk73_0: $i).
1.82/0.98	thf(decl_324, type, esk74_0: $i).
1.82/0.98	thf(decl_325, type, esk75_0: $i).
1.82/0.98	thf(decl_326, type, esk76_0: $i).
1.82/0.98	thf(decl_332, type, epred2_1: $i > $i > $i > $o).
1.82/0.98	thf(decl_333, type, epred3_2: $i > $i > $i > $o).
1.82/0.98	thf(decl_337, type, esk82_4: $i > $i > $i > $i > $i).
1.82/0.98	thf(decl_338, type, esk83_3: $i > $i > $i > $i).
1.82/0.98	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ex1)).
1.82/0.98	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singleton)).
1.82/0.98	thf(func, axiom, ((func)=(^[X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)&![X2:$i]:(((in @ X2 @ X4)=>(ex1 @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', func)).
1.82/0.98	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', breln)).
1.82/0.98	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', replAx)).
1.82/0.98	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exu)).
1.82/0.98	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', descrp)).
1.82/0.98	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuE1)).
1.82/0.98	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuE3e)).
1.82/0.98	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', nonempty)).
1.82/0.98	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', nonemptyI)).
1.82/0.98	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuE2)).
1.82/0.98	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuI1)).
1.82/0.98	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuI3)).
1.82/0.98	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuI2)).
1.82/0.98	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuE3u)).
1.82/0.98	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exu__Cong)).
1.82/0.98	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', exuEu)).
1.82/0.98	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', descr__Cong)).
1.82/0.98	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletonprop)).
1.82/0.98	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ex1E1)).
1.82/0.98	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ex1I)).
1.82/0.98	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ex1I2)).
1.82/0.98	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', kfstsingleton)).
1.82/0.98	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ksndsingleton)).
1.82/0.98	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setOfPairsIsBReln)).
1.82/0.98	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', funcImageSingleton)).
1.82/0.98	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', apProp)).
1.82/0.98	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dsetconstrI)).
1.82/0.98	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dsetconstrEL)).
1.82/0.98	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dsetconstrER)).
1.82/0.98	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setbeta)).
1.82/0.98	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', nonemptyE1)).
1.82/0.98	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', nonemptyI1)).
1.82/0.98	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setoftrueEq)).
1.82/0.98	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', nonemptyImpWitness)).
1.82/0.98	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyE1)).
1.82/0.98	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dsetconstr__Cong)).
1.82/0.98	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', sepInPowerset)).
1.82/0.98	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', sepSubset)).
1.82/0.98	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', theprop)).
1.82/0.98	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrI)).
1.82/0.98	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrSub)).
1.82/0.98	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrERa)).
1.82/0.98	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrEL1)).
1.82/0.98	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrEL2)).
1.82/0.98	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', dpsetconstrER)).
1.82/0.98	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', app)).
1.82/0.98	thf(infuncsetfunc, conjecture, ((((((((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>(((((dsetconstrEL)=>((dsetconstrER)=>(((prop2setE)=>(((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>(((emptyI)=>(((((nonemptyI)=>((((emptyinunitempty)=>((((setadjoinOr)=>((setoftrueEq)=>((((emptyInPowerset)=>((powersetE)=>(((((exuE2)=>(((uniqinunit)=>((notinsingleton)=>(((singletonsswitch)=>((upairsetE)=>((((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((((exuI1)=>(((exuI2)=>(((((((((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((((((subsetE)=>((((notequalI1)=>(((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((((powersetI1)=>((((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>(((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>(((binintersectSubset2)=>(((binintersectER)=>((disjointsetsI1)=>(((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((((setminusSubset2)=>((((setminusILneg)=>((((setminusSubset1)=>(((symdiffI1)=>(((symdiffIneg1)=>((symdiffIneg2)=>(((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>(((singletonsubset)=>(((((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>(((((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>(((ex1I)=>(((((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>(((setukpairinjL)=>((((setukpairinjR1)=>(((setukpairinjR2)=>(((((kpairsurjEq)=>(((cartprodpairmemEL)=>((((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>(((dpsetconstrSub)=>((setOfPairsIsBReln)=>(((dpsetconstrEL1)=>((dpsetconstrEL2)=>(((((app)=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30))))<=(apProp))<=(funcImageSingleton))<=(dpsetconstrER))))<=(dpsetconstrERa))))<=(dpsetconstrI)))))<=(cartprodmempaircEq))<=(cartprodpairmemER)))<=(cartprodsndin)))<=(ksndpairEq))<=(ksndsingleton))<=(setukpairinjR)))<=(upairequniteq)))<=(setukpairinjR12))<=(setukpairinjR11)))<=(setukpairinjL2))))))<=(setukpairinjL1))<=(singletonsuniq))<=(ex1I2)))<=(ex1E1)))))))))<=(cartprodpairin))<=(ubforcartprodlem3))<=(ubforcartprodlem2)))))<=(upairset2E))<=(singletoninpowunion))<=(singletoninpowerset)))<=(kpairp)))))<=(secondinupair))))<=(symdiffI2)))<=(symdiffE)))<=(setminusLsub))<=(setminusIRneg)))<=(setminusELneg))<=(setminusERneg)))<=(setminusER))<=(setminusEL))))))<=(binintersectRsub))))<=(binintersectSubset3)))<=(binintersectLsub)))))))))))<=(binunionIL)))))<=(inPowerset))<=(powersetE1)))<=(subsetemptysetimpeq))<=(setextsub)))))))<=(notequalI2)))<=(notsubsetI))<=(subsetE2)))<=(emptysetsubset))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2))))))))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))<=(in__Cong))<=(inCongP)))<=(exuI3)))<=(notdallE))<=(notdexE)))))<=(quantDeMorgan3))<=(quantDeMorgan2)))))<=(upairsetIR))<=(upairsetIL))))<=(eqinunit))))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE))<=(setunionI))))<=(emptyinPowerset))<=(powersetI))))<=(setadjoinE))<=(setadjoinIR)))<=(setadjoinIL))<=(nonemptyI1)))<=(nonemptyE1))<=(setbeta))<=(noeltsimpempty)))<=(setext)))))<=(emptysetE)))<=(exuE1))))<=(dsetconstrI))<=(descrp))<=(wellorderingAx))))))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', infuncsetfunc)).
1.82/0.98	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setextAx)).
1.82/0.98	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptysetAx)).
1.82/0.98	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinAx)).
1.82/0.98	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetAx)).
1.82/0.98	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionAx)).
1.82/0.98	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', omega0Ax)).
1.82/0.98	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', omegaSAx)).
1.82/0.98	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', omegaIndAx)).
1.82/0.98	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', foundationAx)).
1.82/0.98	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', wellorderingAx)).
1.82/0.98	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', prop2setE)).
1.82/0.98	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptysetE)).
1.82/0.98	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptysetimpfalse)).
1.82/0.98	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notinemptyset)).
1.82/0.98	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setext)).
1.82/0.98	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyI)).
1.82/0.98	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', noeltsimpempty)).
1.82/0.98	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinIL)).
1.82/0.98	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyinunitempty)).
1.82/0.98	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinIR)).
1.82/0.98	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinE)).
1.82/0.98	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinOr)).
1.82/0.98	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetI)).
1.82/0.98	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyinPowerset)).
1.82/0.98	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyInPowerset)).
1.82/0.98	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetE)).
1.82/0.98	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionI)).
1.82/0.98	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionE)).
1.82/0.98	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subPowSU)).
1.82/0.98	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', uniqinunit)).
1.82/0.98	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notinsingleton)).
1.82/0.98	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', eqinunit)).
1.82/0.98	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletonsswitch)).
1.82/0.98	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairsetE)).
1.82/0.98	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairsetIL)).
1.82/0.98	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairsetIR)).
1.82/0.98	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', vacuousDall)).
1.82/0.98	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', quantDeMorgan1)).
1.82/0.98	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', quantDeMorgan2)).
1.82/0.98	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', quantDeMorgan3)).
1.82/0.98	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', quantDeMorgan4)).
1.82/0.98	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', prop2setI)).
1.82/0.98	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', prop2set2propI)).
1.82/0.98	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notdexE)).
1.82/0.98	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notdallE)).
1.82/0.98	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', inCongP)).
1.82/0.98	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', in__Cong)).
1.82/0.98	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptyset__Cong)).
1.82/0.98	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoin__Cong)).
1.82/0.98	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powerset__Cong)).
1.82/0.98	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunion__Cong)).
1.82/0.98	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', omega__Cong)).
1.82/0.98	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetI1)).
1.82/0.98	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', eqimpsubset2)).
1.82/0.98	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', eqimpsubset1)).
1.82/0.98	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetI2)).
1.82/0.98	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', emptysetsubset)).
1.82/0.98	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetE)).
1.82/0.98	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetE2)).
1.82/0.98	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notsubsetI)).
1.82/0.98	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notequalI1)).
1.82/0.98	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', notequalI2)).
1.82/0.98	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetRefl)).
1.82/0.98	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetTrans)).
1.82/0.98	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinSub)).
1.82/0.98	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setadjoinSub2)).
1.82/0.98	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subset2powerset)).
1.82/0.98	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setextsub)).
1.82/0.98	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', subsetemptysetimpeq)).
1.82/0.98	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetI1)).
1.82/0.98	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetE1)).
1.82/0.98	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', inPowerset)).
1.82/0.98	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', powersetsubset)).
1.82/0.98	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionIL)).
1.82/0.98	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairset2IR)).
1.82/0.98	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionIR)).
1.82/0.98	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionEcases)).
1.82/0.98	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionE)).
1.82/0.98	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionLsub)).
1.82/0.98	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binunionRsub)).
1.82/0.98	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectI)).
1.82/0.98	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectSubset5)).
1.82/0.98	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectEL)).
1.82/0.98	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectLsub)).
1.82/0.98	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectSubset2)).
1.82/0.98	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectSubset3)).
1.82/0.98	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectER)).
1.82/0.98	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', disjointsetsI1)).
1.82/0.98	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectRsub)).
1.82/0.98	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectSubset4)).
1.82/0.98	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', binintersectSubset1)).
1.82/0.98	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', bs114d)).
1.82/0.98	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusI)).
1.82/0.98	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusEL)).
1.82/0.98	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusER)).
1.82/0.98	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusSubset2)).
1.82/0.98	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusERneg)).
1.82/0.98	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusELneg)).
1.82/0.98	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusILneg)).
1.82/0.98	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusIRneg)).
1.82/0.98	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusLsub)).
1.82/0.98	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setminusSubset1)).
1.82/0.98	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', symdiffE)).
1.82/0.98	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', symdiffI1)).
1.82/0.98	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', symdiffI2)).
1.82/0.98	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', symdiffIneg1)).
1.82/0.98	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', symdiffIneg2)).
1.82/0.98	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', secondinupair)).
1.82/0.98	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairIL)).
1.82/0.98	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairIR)).
1.82/0.98	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', kpairiskpair)).
1.82/0.98	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', kpairp)).
1.82/0.98	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletonsubset)).
1.82/0.98	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletoninpowerset)).
1.82/0.98	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletoninpowunion)).
1.82/0.98	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairset2E)).
1.82/0.98	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairsubunion)).
1.82/0.98	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairinpowunion)).
1.82/0.98	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ubforcartprodlem1)).
1.82/0.98	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ubforcartprodlem2)).
1.82/0.98	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ubforcartprodlem3)).
1.82/0.98	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodpairin)).
1.82/0.98	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodmempair1)).
1.82/0.98	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodmempair)).
1.82/0.98	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionE2)).
1.82/0.98	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionsingleton1)).
1.82/0.98	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionsingleton2)).
1.82/0.98	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setunionsingleton)).
1.82/0.98	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', singletonsuniq)).
1.82/0.98	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjL1)).
1.82/0.98	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', kfstpairEq)).
1.82/0.98	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodfstin)).
1.82/0.98	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjL2)).
1.82/0.98	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjL)).
1.82/0.98	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjR11)).
1.82/0.98	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjR12)).
1.82/0.98	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjR1)).
1.82/0.98	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', upairequniteq)).
1.82/0.98	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjR2)).
1.82/0.98	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', setukpairinjR)).
1.82/0.98	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', ksndpairEq)).
1.82/0.98	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', kpairsurjEq)).
1.82/0.98	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodsndin)).
1.82/0.98	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodpairmemEL)).
1.82/0.98	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodpairmemER)).
1.82/0.98	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodmempaircEq)).
1.82/0.98	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodfstpairEq)).
1.82/0.98	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodsndpairEq)).
1.82/0.98	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', cartprodpairsurjEq)).
1.82/0.98	thf(funcSet, axiom, ((funcSet)=(^[X4:$i, X5:$i]:(dsetconstr @ (powerset @ (cartprod @ X4 @ X5)) @ (^[X30:$i]:((func @ X4 @ X5 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.PTq1IvOHxu/E---3.1_21398.p', funcSet)).
1.82/0.98	thf(c_0_199, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X604:$i]:(((in @ X604 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X604 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])).
1.82/0.98	thf(c_0_200, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])).
1.82/0.98	thf(c_0_201, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X611:$i]:(((in @ X611 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X611 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])).
1.82/0.98	thf(c_0_202, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X604:$i]:(((in @ X604 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X604 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_199, c_0_200])).
1.82/0.98	thf(c_0_203, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
1.82/0.98	thf(c_0_204, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
1.82/0.98	thf(c_0_205, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
1.82/0.98	thf(c_0_206, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
1.82/0.98	thf(c_0_207, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
1.82/0.98	thf(c_0_208, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
1.82/0.98	thf(c_0_209, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
1.82/0.98	thf(c_0_210, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
1.82/0.98	thf(c_0_211, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
1.82/0.98	thf(c_0_212, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
1.82/0.98	thf(c_0_213, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
1.82/0.98	thf(c_0_214, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
1.82/0.98	thf(c_0_215, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
1.82/0.98	thf(c_0_216, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
1.82/0.98	thf(c_0_217, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
1.82/0.98	thf(c_0_218, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
1.82/0.98	thf(c_0_219, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
1.82/0.98	thf(c_0_220, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
1.82/0.98	thf(c_0_221, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
1.82/0.98	thf(c_0_222, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
1.82/0.98	thf(c_0_223, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
1.82/0.98	thf(c_0_224, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
1.82/0.98	thf(c_0_225, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
1.82/0.98	thf(c_0_226, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
1.82/0.98	thf(c_0_227, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X611:$i]:(((in @ X611 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X611 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_201, c_0_202]), c_0_203])).
1.82/0.98	thf(c_0_228, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
1.82/0.98	thf(c_0_229, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X575:$i]:((((X6 @ X2 @ X575))&![X576:$i]:((((X6 @ X2 @ X576))=>((X575)=(X576)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_204, c_0_205])).
1.82/0.98	thf(c_0_230, plain, ((descrp)=(![X1:$i > $o]:(((?[X577:$i]:((((X1 @ X577))&![X578:$i]:((((X1 @ X578))=>((X577)=(X578)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_206, c_0_205])).
1.82/0.98	thf(c_0_231, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
1.82/0.98	thf(c_0_232, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
1.82/0.98	thf(c_0_233, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
1.82/0.98	thf(c_0_234, plain, ((exuE1)=(![X1:$i > $o]:(((?[X579:$i]:((((X1 @ X579))&![X580:$i]:((((X1 @ X580))=>((X579)=(X580)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_207, c_0_205])).
1.82/0.98	thf(c_0_235, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X581:$i]:((((X1 @ X581))&![X582:$i]:((((X1 @ X582))=>((X581)=(X582)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_208, c_0_205])).
1.82/0.98	thf(c_0_236, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
1.82/0.98	thf(c_0_237, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_209])).
1.82/0.98	thf(c_0_238, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_210, c_0_209])).
1.82/0.98	thf(c_0_239, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_209])).
1.82/0.98	thf(c_0_240, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
1.82/0.98	thf(c_0_241, plain, ((exuE2)=(![X1:$i > $o]:(((?[X583:$i]:((((X1 @ X583))&![X584:$i]:((((X1 @ X584))=>((X583)=(X584)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_211, c_0_205])).
1.82/0.98	thf(c_0_242, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_209])).
1.82/0.98	thf(c_0_243, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
1.82/0.98	thf(c_0_244, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X585:$i]:((((X1 @ X585))&![X586:$i]:((((X1 @ X586))=>((X585)=(X586))))))))))), inference(apply_def,[status(thm)],[c_0_212, c_0_205])).
1.82/0.98	thf(c_0_245, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X587:$i]:((((X1 @ X587))&![X588:$i]:((((X1 @ X588))=>((X587)=(X588)))))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_205])).
1.82/0.98	thf(c_0_246, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X589:$i]:((((X1 @ X589))&![X590:$i]:((((X1 @ X590))=>((X589)=(X590))))))))))), inference(apply_def,[status(thm)],[c_0_214, c_0_205])).
1.82/0.98	thf(c_0_247, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X591:$i]:((((X1 @ X591))&![X592:$i]:((((X1 @ X592))=>((X591)=(X592)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_215, c_0_205])).
1.82/0.98	thf(c_0_248, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X593:$i]:((((X1 @ X593))&![X594:$i]:((((X1 @ X594))=>((X593)=(X594)))))))<=>(?[X595:$i]:((((X17 @ X595))&![X596:$i]:((((X17 @ X596))=>((X595)=(X596)))))))))))), inference(apply_def,[status(thm)],[c_0_216, c_0_205])).
1.82/0.98	thf(c_0_249, plain, ((exuEu)=(![X1:$i > $o]:(((?[X597:$i]:((((X1 @ X597))&![X598:$i]:((((X1 @ X598))=>((X597)=(X598)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_217, c_0_205])).
1.82/0.98	thf(c_0_250, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X599:$i]:((((X1 @ X599))&![X600:$i]:((((X1 @ X600))=>((X599)=(X600)))))))=>((?[X601:$i]:((((X17 @ X601))&![X602:$i]:((((X17 @ X602))=>((X601)=(X602)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_218, c_0_205])).
1.82/0.98	thf(c_0_251, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
1.82/0.98	thf(c_0_252, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
1.82/0.98	thf(c_0_253, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
1.82/0.98	thf(c_0_254, 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)))=>(?[X603:$i]:(((in @ X603 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X603 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_219, c_0_200])).
1.82/0.98	thf(c_0_255, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X605:$i]:(((in @ X605 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X605 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_220, c_0_202])).
1.82/0.98	thf(c_0_256, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X606:$i]:(((in @ X606 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X606 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_221, c_0_202])).
1.82/0.98	thf(c_0_257, 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)))=>(?[X607:$i]:(((in @ X607 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X607 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_222, c_0_202])).
1.82/0.98	thf(c_0_258, plain, ((kfstsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X608:$i]:(((in @ X608 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X608 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_223, c_0_200])).
1.82/0.98	thf(c_0_259, axiom, ((theprop)=(![X21:$i]:(((?[X609:$i]:(((in @ X609 @ X21)&((X21)=(setadjoin @ X609 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_200])).
1.82/0.98	thf(c_0_260, plain, ((ksndsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X610:$i]:(((in @ X610 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X610 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_224, c_0_200])).
1.82/0.98	thf(c_0_261, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
1.82/0.98	thf(c_0_262, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
1.82/0.98	thf(c_0_263, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_225, c_0_203])).
1.82/0.98	thf(c_0_264, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
1.82/0.98	thf(c_0_265, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
1.82/0.98	thf(c_0_266, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
1.82/0.98	thf(c_0_267, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
1.82/0.98	thf(c_0_268, plain, ((funcImageSingleton)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X612:$i]:(((in @ X612 @ X4)=>(?[X613:$i]:(((in @ X613 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X612 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X612 @ Z0) @ X30)))))=(setadjoin @ X613 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(?[X614:$i]:(((in @ X614 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))=(setadjoin @ X614 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226, c_0_200]), c_0_227])).
1.82/0.98	thf(c_0_269, plain, ((apProp)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X615:$i]:(((in @ X615 @ X4)=>(?[X616:$i]:(((in @ X616 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X615 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X615 @ Z0) @ X30)))))=(setadjoin @ X616 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5))))))), inference(apply_def,[status(thm)],[c_0_228, c_0_227])).
1.82/0.98	thf(c_0_270, axiom, ((app)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X617:$i]:(((in @ X617 @ X4)=>(?[X618:$i]:(((in @ X618 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X617 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X617 @ Z0) @ X30)))))=(setadjoin @ X618 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5))))))), inference(apply_def,[status(thm)],[app, c_0_227])).
1.82/0.98	thf(c_0_271, plain, ((epred1_0)<=>![X1174:$i]:(?[X1175:$i]:((((![X1176:$i]:(((in @ X1176 @ X1175)=>![X1177:$i]:(((in @ X1177 @ X1176)=>(in @ X1177 @ X1174)))))&![X1178:$i, X1179:$i]:((((in @ X1178 @ X1174)&(in @ X1179 @ X1174))=>(![X1180:$i]:(((in @ X1180 @ X1175)=>((in @ X1178 @ X1180)<=>(in @ X1179 @ X1180))))=>((X1178)=(X1179))))))&![X1181:$i, X1182:$i]:((((in @ X1181 @ X1175)&(in @ X1182 @ X1175))=>(![X1183:$i]:(((in @ X1183 @ X1181)=>(in @ X1183 @ X1182)))|![X1184:$i]:(((in @ X1184 @ X1182)=>(in @ X1184 @ X1181)))))))&![X1185:$i]:(((![X1186:$i]:(((in @ X1186 @ X1185)=>(in @ X1186 @ X1174)))&?[X1187:$i]:((in @ X1187 @ X1185)))=>?[X1188:$i, X1189:$i]:(((((in @ X1188 @ X1175)&(in @ X1189 @ X1185))&~(?[X1190:$i]:(((in @ X1190 @ X1188)&(in @ X1190 @ X1185)))))&![X1191:$i]:(((in @ X1191 @ X1175)=>(![X1192:$i]:(((in @ X1192 @ X1191)=>(in @ X1192 @ X1188)))|(in @ X1189 @ X1191)))))))))))), introduced(definition)).
1.82/0.98	thf(c_0_272, negated_conjecture, ~((![X1203:$i, X1204:$i]:((![X1205:$i]:(((in @ X1205 @ X1203)<=>(in @ X1205 @ X1204)))=>((X1203)=(X1204))))=>(![X1202:$i]:(~(in @ X1202 @ emptyset))=>(![X1199:$i, X1200:$i, X1201:$i]:(((in @ X1201 @ (setadjoin @ X1199 @ X1200))<=>(((X1201)=(X1199))|(in @ X1201 @ X1200))))=>(![X1196:$i, X1197:$i]:(((in @ X1197 @ (powerset @ X1196))<=>![X1198:$i]:(((in @ X1198 @ X1197)=>(in @ X1198 @ X1196)))))=>(![X1193:$i, X1194:$i]:(((in @ X1194 @ (setunion @ X1193))<=>?[X1195:$i]:(((in @ X1194 @ X1195)&(in @ X1195 @ X1193)))))=>((in @ emptyset @ omega)=>(![X621:$i]:(((in @ X621 @ omega)=>(in @ (setadjoin @ X621 @ X621) @ omega)))=>(![X622:$i]:((((in @ emptyset @ X622)&![X623:$i]:((((in @ X623 @ omega)&(in @ X623 @ X622))=>(in @ (setadjoin @ X623 @ X623) @ X622))))=>![X624:$i]:(((in @ X624 @ omega)=>(in @ X624 @ X622)))))=>(![X625:$i > $i > $o, X626:$i]:((![X627:$i]:(((in @ X627 @ X626)=>?[X628:$i]:(((X625 @ X627 @ X628)&![X629:$i]:(((X625 @ X627 @ X629)=>((X628)=(X629))))))))=>?[X630:$i]:(![X631:$i]:(((in @ X631 @ X630)<=>?[X632:$i]:(((in @ X632 @ X626)&(X625 @ X632 @ X631))))))))=>(![X633:$i]:((?[X634:$i]:((in @ X634 @ X633))=>?[X635:$i]:(((in @ X635 @ X633)&~(?[X636:$i]:(((in @ X636 @ X635)&(in @ X636 @ X633))))))))=>((epred1_0)=>(![X1171:$i > $o]:((?[X1172:$i]:(((X1171 @ X1172)&![X1173:$i]:(((X1171 @ X1173)=>((X1172)=(X1173))))))=>(X1171 @ (descr @ (^[Z0/* 17 */:$i]:(X1171 @ Z0))))))=>(![X1168:$i, X1169:$i > $o, X1170:$i]:(((in @ X1170 @ X1168)=>((X1169 @ X1170)=>(in @ X1170 @ (dsetconstr @ X1168 @ X1169)))))=>(![X637:$i, X638:$i > $o, X639:$i]:(((in @ X639 @ (dsetconstr @ X637 @ X638))=>(in @ X639 @ X637)))=>(![X640:$i, X641:$i > $o, X642:$i]:(((in @ X642 @ (dsetconstr @ X640 @ X641))=>(X641 @ X642)))=>(![X1163:$i > $o]:((?[X1164:$i]:(((X1163 @ X1164)&![X1165:$i]:(((X1163 @ X1165)=>((X1164)=(X1165))))))=>?[X1166:$i]:(((X1163 @ X1166)&![X1167:$i]:(((X1163 @ X1167)=>((X1166)=(X1167))))))))=>(![X643:$o, X644:$i]:(((in @ X644 @ (prop2set @ ((X643))))=>(X643)))=>(![X1161:$i]:(((in @ X1161 @ emptyset)=>![X1162:$o]:((X1162))))=>(![X645:$i]:(((in @ X645 @ emptyset)=>~($true)))=>(![X646:$i]:(~(in @ X646 @ emptyset))=>(![X647:$i > $o]:((?[X648:$i]:(((X647 @ X648)&![X649:$i]:(((X647 @ X649)=>((X648)=(X649))))))=>?[X650:$i]:((X647 @ X650))))=>(![X1157:$i, X1158:$i]:((![X1159:$i]:(((in @ X1159 @ X1157)=>(in @ X1159 @ X1158)))=>(![X1160:$i]:(((in @ X1160 @ X1158)=>(in @ X1160 @ X1157)))=>((X1157)=(X1158)))))=>(![X651:$i]:((![X652:$i]:(~(in @ X652 @ X651))=>((X651)=(emptyset))))=>(![X1155:$i]:((![X1156:$i]:(~(in @ X1156 @ X1155))=>((X1155)=(emptyset))))=>(![X1152:$i, X1153:$i > $o, X1154:$i]:(((in @ X1154 @ X1152)=>((in @ X1154 @ (dsetconstr @ X1152 @ X1153))<=>(X1153 @ X1154))))=>(![X1150:$i]:((((X1150)!=(emptyset))=>?[X1151:$i]:((in @ X1151 @ X1150))))=>(![X653:$i, X654:$i > $o, X655:$i]:(((in @ X655 @ X653)=>((X654 @ X655)=>((dsetconstr @ X653 @ X654)!=(emptyset)))))=>(![X1148:$i]:((?[X1149:$i]:((in @ X1149 @ X1148))=>((X1148)!=(emptyset))))=>(![X1146:$i, X1147:$i]:((in @ X1146 @ (setadjoin @ X1146 @ X1147)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1143:$i, X1144:$i, X1145:$i]:(((in @ X1145 @ X1144)=>(in @ X1145 @ (setadjoin @ X1143 @ X1144))))=>(![X1139:$i, X1140:$i, X1141:$i]:(((in @ X1141 @ (setadjoin @ X1139 @ X1140))=>![X1142:$o]:(((((X1141)=(X1139))=>(X1142))=>(((in @ X1141 @ X1140)=>(X1142))=>(X1142))))))=>(![X656:$i, X657:$i, X658:$i]:(((in @ X658 @ (setadjoin @ X656 @ X657))=>(((X658)=(X656))|(in @ X658 @ X657))))=>(![X659:$i]:(((dsetconstr @ X659 @ (^[Z0/* 1 */:$i]:($true)))=(X659)))=>(![X1136:$i, X1137:$i]:((![X1138:$i]:(((in @ X1138 @ X1137)=>(in @ X1138 @ X1136)))=>(in @ X1137 @ (powerset @ X1136))))=>(![X1135:$i]:((in @ emptyset @ (powerset @ X1135)))=>(![X660:$i]:((in @ emptyset @ (powerset @ X660)))=>(![X661:$i, X662:$i, X663:$i]:(((in @ X662 @ (powerset @ X661))=>((in @ X663 @ X662)=>(in @ X663 @ X661))))=>(![X1132:$i, X1133:$i, X1134:$i]:(((in @ X1133 @ X1134)=>((in @ X1134 @ X1132)=>(in @ X1133 @ (setunion @ X1132)))))=>(![X1128:$i, X1129:$i]:(((in @ X1129 @ (setunion @ X1128))=>![X1130:$o]:((![X1131:$i]:(((in @ X1129 @ X1131)=>((in @ X1131 @ X1128)=>(X1130))))=>(X1130)))))=>(![X1126:$i, X1127:$i]:(((in @ X1127 @ X1126)=>(in @ X1127 @ (powerset @ (setunion @ X1126)))))=>(![X664:$i > $o]:((?[X665:$i]:(((X664 @ X665)&![X666:$i]:(((X664 @ X666)=>((X665)=(X666))))))=>?[X667:$i]:(![X668:$i]:(((X664 @ X668)<=>((X668)=(X667)))))))=>(![X1124:$i]:((((X1124)!=(emptyset))=>?[X1125:$i]:(((in @ X1125 @ X1124)&$true))))=>(![X669:$i, X670:$i]:(((in @ X669 @ (setadjoin @ X670 @ emptyset))=>((X669)=(X670))))=>(![X671:$i, X672:$i]:((((X671)!=(X672))=>~(in @ X672 @ (setadjoin @ X671 @ emptyset))))=>(![X1122:$i, X1123:$i]:((((X1122)=(X1123))=>(in @ X1122 @ (setadjoin @ X1123 @ emptyset))))=>(![X673:$i, X674:$i]:(((in @ X673 @ (setadjoin @ X674 @ emptyset))=>(in @ X674 @ (setadjoin @ X673 @ emptyset))))=>(![X675:$i, X676:$i, X677:$i]:(((in @ X677 @ (setadjoin @ X675 @ (setadjoin @ X676 @ emptyset)))=>(((X677)=(X675))|((X677)=(X676)))))=>(![X1120:$i, X1121:$i]:((in @ X1120 @ (setadjoin @ X1120 @ (setadjoin @ X1121 @ emptyset))))=>(![X1118:$i, X1119:$i]:((in @ X1119 @ (setadjoin @ X1118 @ (setadjoin @ X1119 @ emptyset))))=>(![X678:$i, X679:$i > $o]:((?[X680:$i]:(((in @ X680 @ X678)&(X679 @ X680)))=>(((dsetconstr @ X678 @ X679)=(emptyset))=>~($true))))=>(![X681:$i > $o, X682:$i]:(((in @ X682 @ emptyset)=>(X681 @ X682)))=>(![X683:$i, X684:$i > $o]:((~(![X685:$i]:(((in @ X685 @ X683)=>(X684 @ X685))))=>?[X686:$i]:(((in @ X686 @ X683)&~((X684 @ X686))))))=>(![X1114:$i, X1115:$i > $o]:((![X1116:$i]:(((in @ X1116 @ X1114)=>~((X1115 @ X1116))))=>~(?[X1117:$i]:(((in @ X1117 @ X1114)&(X1115 @ X1117))))))=>(![X1110:$i, X1111:$i > $o]:((~(?[X1112:$i]:(((in @ X1112 @ X1110)&(X1111 @ X1112))))=>![X1113:$i]:(((in @ X1113 @ X1110)=>~((X1111 @ X1113))))))=>(![X687:$i, X688:$i > $o]:((?[X689:$i]:(((in @ X689 @ X687)&~((X688 @ X689))))=>~(![X690:$i]:(((in @ X690 @ X687)=>(X688 @ X690))))))=>(![X691:$o]:(((X691)=>(in @ emptyset @ (prop2set @ ((X691))))))=>(![X692:$o]:(((X692)=>(set2prop @ (prop2set @ ((X692))))))=>(![X1106:$i, X1107:$i > $o]:((~(?[X1108:$i]:(((in @ X1108 @ X1106)&(X1107 @ X1108))))=>![X1109:$i]:(((in @ X1109 @ X1106)=>~((X1107 @ X1109))))))=>(![X1102:$i, X1103:$i > $o]:((~(![X1104:$i]:(((in @ X1104 @ X1102)=>(X1103 @ X1104))))=>?[X1105:$i]:(((in @ X1105 @ X1102)&~((X1103 @ X1105))))))=>(![X693:$i > $o]:((?[X694:$i]:(((X693 @ X694)&![X695:$i]:(((X693 @ X695)=>((X694)=(X695))))))=>?[X696:$i]:(((X693 @ X696)&![X697:$i]:(((X693 @ X697)=>((X696)=(X697))))))))=>(![X1096:$i > $o]:((?[X1097:$i]:((X1096 @ X1097))=>(![X1098:$i, X1099:$i]:(((X1096 @ X1098)=>((X1096 @ X1099)=>((X1098)=(X1099)))))=>?[X1100:$i]:(((X1096 @ X1100)&![X1101:$i]:(((X1096 @ X1101)=>((X1100)=(X1101)))))))))=>(![X698:$i > $o]:((?[X699:$i]:(![X700:$i]:(((X698 @ X700)<=>((X700)=(X699)))))=>?[X701:$i]:(((X698 @ X701)&![X702:$i]:(((X698 @ X702)=>((X701)=(X702))))))))=>(![X1092:$i, X1093:$i]:((((X1092)=(X1093))=>![X1094:$i, X1095:$i]:((((X1094)=(X1095))=>((in @ X1094 @ X1092)=>(in @ X1095 @ X1093))))))=>(![X1088:$i, X1089:$i]:((((X1088)=(X1089))=>![X1090:$i, X1091:$i]:((((X1090)=(X1091))=>((in @ X1090 @ X1088)<=>(in @ X1091 @ X1089))))))=>(![X1083:$i > $o]:((?[X1084:$i]:(((X1083 @ X1084)&![X1085:$i]:(((X1083 @ X1085)=>((X1084)=(X1085))))))=>![X1086:$i, X1087:$i]:(((X1083 @ X1086)=>((X1083 @ X1087)=>((X1086)=(X1087)))))))=>(![X1075:$i > $o, X1076:$i > $o]:((![X1077:$i, X1078:$i]:((((X1077)=(X1078))=>((X1075 @ X1077)<=>(X1076 @ X1078))))=>(?[X1079:$i]:(((X1075 @ X1079)&![X1080:$i]:(((X1075 @ X1080)=>((X1079)=(X1080))))))<=>?[X1081:$i]:(((X1076 @ X1081)&![X1082:$i]:(((X1076 @ X1082)=>((X1081)=(X1082)))))))))=>(((emptyset)=(emptyset))=>(![X1071:$i, X1072:$i]:((((X1071)=(X1072))=>![X1073:$i, X1074:$i]:((((X1073)=(X1074))=>((setadjoin @ X1071 @ X1073)=(setadjoin @ X1072 @ X1074))))))=>(![X1069:$i, X1070:$i]:((((X1069)=(X1070))=>((powerset @ X1069)=(powerset @ X1070))))=>(![X703:$i, X704:$i]:((((X703)=(X704))=>((setunion @ X703)=(setunion @ X704))))=>(((omega)=(omega))=>(![X705:$i > $o]:((?[X706:$i]:(((X705 @ X706)&![X707:$i]:(((X705 @ X707)=>((X706)=(X707))))))=>![X708:$i, X709:$i]:(((X705 @ X708)=>((X705 @ X709)=>((X708)=(X709)))))))=>(![X710:$i > $o, X711:$i > $o]:((![X712:$i, X713:$i]:((((X712)=(X713))=>((X710 @ X712)<=>(X711 @ X713))))=>(?[X714:$i]:(((X710 @ X714)&![X715:$i]:(((X710 @ X715)=>((X714)=(X715))))))=>(?[X716:$i]:(((X711 @ X716)&![X717:$i]:(((X711 @ X717)=>((X716)=(X717))))))=>((descr @ X710)=(descr @ X711))))))=>(![X718:$i, X719:$i]:((((X718)=(X719))=>![X720:$i > $o, X721:$i > $o]:((![X722:$i]:(((in @ X722 @ X718)=>![X723:$i]:(((in @ X723 @ X719)=>(((X722)=(X723))=>((X720 @ X722)<=>(X721 @ X723)))))))=>((dsetconstr @ X718 @ X720)=(dsetconstr @ X719 @ X721))))))=>(![X724:$i, X725:$i]:((![X726:$i]:(((in @ X726 @ X724)=>(in @ X726 @ X725)))=>(subset @ X724 @ X725)))=>(![X1067:$i, X1068:$i]:((((X1067)=(X1068))=>(subset @ X1068 @ X1067)))=>(![X1065:$i, X1066:$i]:((((X1065)=(X1066))=>(subset @ X1065 @ X1066)))=>(![X1062:$i, X1063:$i]:((![X1064:$i]:(((in @ X1064 @ X1062)=>(in @ X1064 @ X1063)))=>(subset @ X1062 @ X1063)))=>(![X1061:$i]:((subset @ emptyset @ X1061))=>(![X727:$i, X728:$i, X729:$i]:(((subset @ X727 @ X728)=>((in @ X729 @ X727)=>(in @ X729 @ X728))))=>(![X1058:$i, X1059:$i, X1060:$i]:(((subset @ X1058 @ X1059)=>(~(in @ X1060 @ X1059)=>~(in @ X1060 @ X1058))))=>(![X1055:$i, X1056:$i, X1057:$i]:(((in @ X1057 @ X1055)=>(~(in @ X1057 @ X1056)=>~(subset @ X1055 @ X1056))))=>(![X730:$i, X731:$i]:((~(subset @ X730 @ X731)=>((X730)!=(X731))))=>(![X1052:$i, X1053:$i, X1054:$i]:(((in @ X1054 @ X1052)=>(~(in @ X1054 @ X1053)=>((X1052)!=(X1053)))))=>(![X732:$i]:((subset @ X732 @ X732))=>(![X733:$i, X734:$i, X735:$i]:(((subset @ X733 @ X734)=>((subset @ X734 @ X735)=>(subset @ X733 @ X735))))=>(![X736:$i, X737:$i]:((subset @ X737 @ (setadjoin @ X736 @ X737)))=>(![X738:$i, X739:$i, X740:$i]:(((subset @ X738 @ X740)=>(subset @ X738 @ (setadjoin @ X739 @ X740))))=>(![X741:$i, X742:$i]:(((subset @ X741 @ X742)=>(in @ X741 @ (powerset @ X742))))=>(![X1050:$i, X1051:$i]:(((subset @ X1050 @ X1051)=>((subset @ X1051 @ X1050)=>((X1050)=(X1051)))))=>(![X1049:$i]:(((subset @ X1049 @ emptyset)=>((X1049)=(emptyset))))=>(![X743:$i, X744:$i]:(((subset @ X744 @ X743)=>(in @ X744 @ (powerset @ X743))))=>(![X1047:$i, X1048:$i]:(((in @ X1048 @ (powerset @ X1047))=>(subset @ X1048 @ X1047)))=>(![X1046:$i]:((in @ X1046 @ (powerset @ X1046)))=>(![X745:$i, X746:$i]:(((subset @ X745 @ X746)=>(subset @ (powerset @ X745) @ (powerset @ X746))))=>(![X747:$i, X748:$i > $o]:((in @ (dsetconstr @ X747 @ X748) @ (powerset @ X747)))=>(![X749:$i, X750:$i > $o]:((subset @ (dsetconstr @ X749 @ X750) @ X749))=>(![X1043:$i, X1044:$i, X1045:$i]:(((in @ X1045 @ X1043)=>(in @ X1045 @ (binunion @ X1043 @ X1044))))=>(![X751:$i, X752:$i]:((in @ X752 @ (setadjoin @ X751 @ (setadjoin @ X752 @ emptyset))))=>(![X753:$i, X754:$i, X755:$i]:(((in @ X755 @ X754)=>(in @ X755 @ (binunion @ X753 @ X754))))=>(![X756:$i, X757:$i, X758:$i, X759:$o]:(((in @ X758 @ (binunion @ X756 @ X757))=>(((in @ X758 @ X756)=>(X759))=>(((in @ X758 @ X757)=>(X759))=>(X759)))))=>(![X760:$i, X761:$i, X762:$i]:(((in @ X762 @ (binunion @ X760 @ X761))=>((in @ X762 @ X760)|(in @ X762 @ X761))))=>(![X763:$i, X764:$i]:((subset @ X763 @ (binunion @ X763 @ X764)))=>(![X765:$i, X766:$i]:((subset @ X766 @ (binunion @ X765 @ X766)))=>(![X767:$i, X768:$i, X769:$i]:(((in @ X769 @ X767)=>((in @ X769 @ X768)=>(in @ X769 @ (binintersect @ X767 @ X768)))))=>(![X770:$i, X771:$i, X772:$i]:(((subset @ X772 @ X770)=>((subset @ X772 @ X771)=>(subset @ X772 @ (binintersect @ X770 @ X771)))))=>(![X773:$i, X774:$i, X775:$i]:(((in @ X775 @ (binintersect @ X773 @ X774))=>(in @ X775 @ X773)))=>(![X1041:$i, X1042:$i]:((subset @ (binintersect @ X1041 @ X1042) @ X1041))=>(![X776:$i, X777:$i]:(((subset @ X776 @ X777)=>((binintersect @ X776 @ X777)=(X776))))=>(![X1039:$i, X1040:$i]:((((binintersect @ X1039 @ X1040)=(X1040))=>(subset @ X1040 @ X1039)))=>(![X778:$i, X779:$i, X780:$i]:(((in @ X780 @ (binintersect @ X778 @ X779))=>(in @ X780 @ X779)))=>(![X781:$i, X782:$i]:((~(?[X783:$i]:(((in @ X783 @ X781)&(in @ X783 @ X782))))=>((binintersect @ X781 @ X782)=(emptyset))))=>(![X1037:$i, X1038:$i]:((subset @ (binintersect @ X1037 @ X1038) @ X1038))=>(![X784:$i, X785:$i]:(((subset @ X785 @ X784)=>((binintersect @ X784 @ X785)=(X785))))=>(![X786:$i, X787:$i]:((((binintersect @ X786 @ X787)=(X786))=>(subset @ X786 @ X787)))=>(![X788:$i, X789:$i, X790:$i]:(((binintersect @ X788 @ (binunion @ X789 @ X790))=(binunion @ (binintersect @ X788 @ X789) @ (binintersect @ X788 @ X790))))=>(![X791:$i, X792:$i, X793:$i]:(((in @ X793 @ X791)=>(~(in @ X793 @ X792)=>(in @ X793 @ (setminus @ X791 @ X792)))))=>(![X1034:$i, X1035:$i, X1036:$i]:(((in @ X1036 @ (setminus @ X1034 @ X1035))=>(in @ X1036 @ X1034)))=>(![X1031:$i, X1032:$i, X1033:$i]:(((in @ X1033 @ (setminus @ X1031 @ X1032))=>~(in @ X1033 @ X1032)))=>(![X794:$i, X795:$i]:(((subset @ X794 @ X795)=>((setminus @ X794 @ X795)=(emptyset))))=>(![X1028:$i, X1029:$i, X1030:$i]:((~(in @ X1030 @ (setminus @ X1028 @ X1029))=>((in @ X1030 @ X1028)=>(in @ X1030 @ X1029))))=>(![X1025:$i, X1026:$i, X1027:$i]:((~(in @ X1027 @ (setminus @ X1025 @ X1026))=>(~(in @ X1027 @ X1026)=>~(in @ X1027 @ X1025))))=>(![X796:$i, X797:$i, X798:$i]:((~(in @ X798 @ X796)=>~(in @ X798 @ (setminus @ X796 @ X797))))=>(![X1022:$i, X1023:$i, X1024:$i]:(((in @ X1024 @ X1023)=>~(in @ X1024 @ (setminus @ X1022 @ X1023))))=>(![X1020:$i, X1021:$i]:((subset @ (setminus @ X1020 @ X1021) @ X1020))=>(![X799:$i, X800:$i]:((((setminus @ X799 @ X800)=(emptyset))=>(subset @ X799 @ X800)))=>(![X1016:$i, X1017:$i, X1018:$i]:(((in @ X1018 @ (symdiff @ X1016 @ X1017))=>![X1019:$o]:((((in @ X1018 @ X1016)=>(~(in @ X1018 @ X1017)=>(X1019)))=>((~(in @ X1018 @ X1016)=>((in @ X1018 @ X1017)=>(X1019)))=>(X1019))))))=>(![X801:$i, X802:$i, X803:$i]:(((in @ X803 @ X801)=>(~(in @ X803 @ X802)=>(in @ X803 @ (symdiff @ X801 @ X802)))))=>(![X1013:$i, X1014:$i, X1015:$i]:((~(in @ X1015 @ X1013)=>((in @ X1015 @ X1014)=>(in @ X1015 @ (symdiff @ X1013 @ X1014)))))=>(![X804:$i, X805:$i, X806:$i]:(((in @ X806 @ X804)=>((in @ X806 @ X805)=>~(in @ X806 @ (symdiff @ X804 @ X805)))))=>(![X807:$i, X808:$i, X809:$i]:((~(in @ X809 @ X807)=>(~(in @ X809 @ X808)=>~(in @ X809 @ (symdiff @ X807 @ X808)))))=>(![X1011:$i, X1012:$i]:((in @ X1012 @ (setadjoin @ X1011 @ (setadjoin @ X1012 @ emptyset))))=>(![X810:$i, X811:$i]:((in @ X810 @ (setunion @ (setadjoin @ (setadjoin @ X810 @ emptyset) @ (setadjoin @ (setadjoin @ X810 @ (setadjoin @ X811 @ emptyset)) @ emptyset)))))=>(![X812:$i, X813:$i]:((in @ X813 @ (setunion @ (setadjoin @ (setadjoin @ X812 @ emptyset) @ (setadjoin @ (setadjoin @ X812 @ (setadjoin @ X813 @ emptyset)) @ emptyset)))))=>(![X814:$i, X815:$i]:((iskpair @ (setadjoin 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X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>((subset @ X30 @ (cartprod @ X4 @ X5))&![X914:$i]:(((in @ X914 @ X4)=>?[X915:$i]:(((in @ X915 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X914 @ Z0) @ X30)))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X914 @ Z0) @ X30))))=(setadjoin @ X915 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[infuncsetfunc]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_229]), foundationAx]), wellorderingAx]), c_0_230]), c_0_231]), c_0_232]), c_0_233]), c_0_234]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_235]), setext]), emptyI]), noeltsimpempty]), c_0_236]), c_0_237]), c_0_238]), c_0_239]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_240]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_241]), c_0_242]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_243]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_244]), c_0_245]), c_0_246]), inCongP]), in__Cong]), c_0_247]), c_0_248]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_249]), c_0_250]), c_0_251]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_252]), c_0_253]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_254]), c_0_255]), c_0_256]), c_0_257]), singletonsuniq]), setukpairinjL1]), c_0_258]), c_0_259]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_260]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_261]), c_0_262]), c_0_263]), c_0_264]), c_0_265]), c_0_266]), c_0_267]), c_0_227]), c_0_268]), c_0_269]), c_0_270])])]), c_0_271])).
1.82/0.98	thf(c_0_273, plain, ![X1206:$i, X1207:$i]:(((funcSet @ X1206 @ X1207)=(dsetconstr @ (powerset @ (cartprod @ X1206 @ X1207)) @ (^[Z0/* 8 */:$i]:(((subset @ Z0 @ (cartprod @ X1206 @ X1207))&![X619:$i]:(((in @ X619 @ X1206)=>?[X620:$i]:(((in @ X620 @ (dsetconstr @ X1207 @ (^[Z1/* 3 */:$i]:((in @ (kpair @ X619 @ Z1) @ Z0)))))&((dsetconstr @ X1207 @ (^[Z1/* 3 */:$i]:((in @ (kpair @ X619 @ Z1) @ Z0))))=(setadjoin @ X620 @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[funcSet]), c_0_227])])).
1.82/0.98	thf(c_0_274, negated_conjecture, ![X1218:$i, X1219:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1231:$i, X1232:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1240:$i, X1241:$i > $i > $o, X1242:$i, X1244:$i, X1247:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1254:$i, X1255:$i > $o, X1256:$i, X1258:$i, X1259:$i > $o, X1260:$i, X1261:$i, X1262:$i > $o, X1263:$i, X1264:$i, X1265:$i > $o, X1266:$i, X1267:$i > $o, X1268:$i, X1271:$i, X1272:$o, X1273:$i, X1274:$i, X1275:$o, X1276:$i, X1277:$i, X1278:$i > $o, X1279:$i, X1282:$i, X1283:$i, X1286:$i, X1288:$i, X1290:$i, X1291:$i > $o, X1292:$i, X1293:$i, X1295:$i, X1296:$i > $o, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$o, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$o, X1328:$i, X1329:$i, X1330:$i > $o, X1331:$i, X1334:$i, X1335:$i, X1336:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i > $o, X1355:$i, X1356:$i > $o, X1357:$i, X1358:$i, X1359:$i > $o, X1360:$i, X1362:$i, X1363:$i > $o, X1365:$i, X1366:$i, X1367:$i > $o, X1369:$i, X1370:$i, X1371:$i > $o, X1372:$i, X1374:$o, X1375:$o, X1376:$i, X1377:$i > $o, X1379:$i, X1380:$i, X1381:$i > $o, X1382:$i, X1384:$i > $o, X1385:$i, X1388:$i, X1389:$i > $o, X1390:$i, X1394:$i, X1395:$i > $o, X1396:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i > $o, X1409:$i, X1411:$i, X1412:$i, X1413:$i > $o, X1414:$i > $o, X1417:$i, X1420:$i, X1421:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i > $o, X1434:$i, X1436:$i, X1437:$i, X1438:$i > $o, X1439:$i > $o, X1442:$i, X1444:$i, X1446:$i, X1447:$i, X1448:$i > $o, X1449:$i > $o, X1452:$i, X1453:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i > $o, X1500:$i, X1501:$i > $o, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$o, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$o, X1582:$i, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1589:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i > $o, X1656:$i, X1658:$i, X1659:$i > $o, X1660:$i, X1662:$i, X1663:$i > $o, X1664:$i, X1667:$i, X1668:$i > $o, X1671:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i, X1747:$i > $i > $o, X1748:$i, X1749:$i, X1750:$i, X1751:$i, X1752:$i > $i > $o, X1753:$i, X1754:$i, X1755:$i > $i > $o, X1756:$i, X1757:$i, X1758:$i > $i > $o, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i > $i > $o, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i > $i > $o, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i > $i > $o, X1774:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1780:$i, X1781:$i, X1783:$i, X1784:$i, X1785:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1793:$i, X1794:$i, X1799:$i]:((((~(in @ (esk1_2 @ X1218 @ X1219) @ X1218)|~(in @ (esk1_2 @ X1218 @ X1219) @ X1219)|((X1218)=(X1219)))&((in @ (esk1_2 @ X1218 @ X1219) @ X1218)|(in @ (esk1_2 @ X1218 @ X1219) @ X1219)|((X1218)=(X1219))))&(~(in @ X1221 @ emptyset)&(((~(in @ X1224 @ (setadjoin @ X1222 @ X1223))|(((X1224)=(X1222))|(in @ X1224 @ X1223)))&((((X1224)!=(X1222))|(in @ X1224 @ (setadjoin @ X1222 @ X1223)))&(~(in @ X1224 @ X1223)|(in @ X1224 @ (setadjoin @ X1222 @ X1223)))))&(((~(in @ X1226 @ (powerset @ X1225))|(~(in @ X1227 @ X1226)|(in @ X1227 @ X1225)))&(((in @ (esk2_2 @ X1228 @ X1229) @ X1229)|(in @ X1229 @ (powerset @ X1228)))&(~(in @ (esk2_2 @ X1228 @ X1229) @ X1228)|(in @ X1229 @ (powerset @ X1228)))))&(((((in @ X1232 @ (esk3_2 @ X1231 @ X1232))|~(in @ X1232 @ (setunion @ X1231)))&((in @ (esk3_2 @ X1231 @ X1232) @ X1231)|~(in @ X1232 @ (setunion @ X1231))))&(~(in @ X1235 @ X1236)|~(in @ X1236 @ X1234)|(in @ X1235 @ (setunion @ X1234))))&((in @ emptyset @ omega)&((~(in @ X1237 @ omega)|(in @ (setadjoin @ X1237 @ X1237) @ omega))&(((((in @ (esk4_1 @ X1238) @ omega)|~(in @ emptyset @ X1238)|(~(in @ X1240 @ omega)|(in @ X1240 @ X1238)))&((in @ (esk4_1 @ X1238) @ X1238)|~(in @ emptyset @ X1238)|(~(in @ X1240 @ omega)|(in @ X1240 @ X1238))))&(~(in @ (setadjoin @ (esk4_1 @ X1238) @ (esk4_1 @ X1238)) @ X1238)|~(in @ emptyset @ X1238)|(~(in @ X1240 @ omega)|(in @ X1240 @ X1238))))&((((((in @ (esk8_3 @ X1241 @ X1242 @ X1247) @ X1242)|~(in @ X1247 @ (esk7_2 @ X1241 @ X1242))|(in @ (esk5_2 @ X1241 @ X1242) @ X1242))&((X1241 @ (esk8_3 @ X1241 @ X1242 @ X1247) @ X1247)|~(in @ X1247 @ (esk7_2 @ X1241 @ X1242))|(in @ (esk5_2 @ X1241 @ X1242) @ 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X1646)|~(in @ X1647 @ (setunion @ X1646)))&((in @ X1647 @ (esk57_2 @ X1646 @ X1647))|~(in @ X1647 @ (setunion @ X1646))))&((subset @ (setunion @ (setadjoin @ X1649 @ emptyset)) @ X1649)&((subset @ X1650 @ (setunion @ (setadjoin @ X1650 @ emptyset)))&(((setunion @ (setadjoin @ X1651 @ emptyset))=(X1651))&(((((in @ (esk60_2 @ X1652 @ X1653) @ (dsetconstr @ X1652 @ X1653))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(in @ (esk58_2 @ X1652 @ X1653) @ X1652))&(((dsetconstr @ X1652 @ X1653)=(setadjoin @ (esk60_2 @ X1652 @ X1653) @ emptyset))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(in @ (esk58_2 @ X1652 @ X1653) @ X1652)))&((((in @ (esk60_2 @ X1652 @ X1653) @ (dsetconstr @ X1652 @ X1653))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(in @ (esk59_2 @ X1652 @ X1653) @ X1652))&(((dsetconstr @ X1652 @ X1653)=(setadjoin @ (esk60_2 @ X1652 @ X1653) @ emptyset))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(in @ (esk59_2 @ X1652 @ X1653) @ X1652)))&((((in @ (esk60_2 @ X1652 @ X1653) @ (dsetconstr @ X1652 @ X1653))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(X1653 @ (esk58_2 @ X1652 @ X1653)))&(((dsetconstr @ X1652 @ X1653)=(setadjoin @ (esk60_2 @ X1652 @ X1653) @ emptyset))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(X1653 @ (esk58_2 @ X1652 @ X1653))))&((((in @ (esk60_2 @ X1652 @ X1653) @ (dsetconstr @ X1652 @ X1653))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(X1653 @ (esk59_2 @ X1652 @ X1653)))&(((dsetconstr @ X1652 @ X1653)=(setadjoin @ (esk60_2 @ X1652 @ X1653) @ emptyset))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|(X1653 @ (esk59_2 @ X1652 @ X1653))))&(((in @ (esk60_2 @ X1652 @ X1653) @ (dsetconstr @ X1652 @ X1653))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|((esk58_2 @ X1652 @ X1653)!=(esk59_2 @ X1652 @ X1653)))&(((dsetconstr @ X1652 @ X1653)=(setadjoin @ (esk60_2 @ X1652 @ X1653) @ emptyset))|(~(in @ X1656 @ X1652)|~(X1653 @ X1656))|((esk58_2 @ X1652 @ X1653)!=(esk59_2 @ X1652 @ X1653))))))))&((((in @ (esk61_2 @ X1658 @ X1659) @ X1658)|(~(in @ X1660 @ (dsetconstr @ X1658 @ X1659))|((dsetconstr @ X1658 @ X1659)!=(setadjoin @ X1660 @ emptyset))))&((X1659 @ (esk61_2 @ X1658 @ X1659))|(~(in @ X1660 @ (dsetconstr @ X1658 @ X1659))|((dsetconstr @ X1658 @ X1659)!=(setadjoin @ X1660 @ emptyset)))))&(((((in @ (esk63_3 @ X1662 @ X1663 @ X1664) @ (dsetconstr @ X1662 @ X1663))|(in @ (esk62_3 @ X1662 @ X1663 @ X1664) @ X1662)|~(X1663 @ X1664)|~(in @ X1664 @ X1662))&(((dsetconstr @ X1662 @ X1663)=(setadjoin @ (esk63_3 @ X1662 @ X1663 @ X1664) @ emptyset))|(in @ (esk62_3 @ X1662 @ X1663 @ X1664) @ X1662)|~(X1663 @ X1664)|~(in @ X1664 @ X1662)))&((((in @ (esk63_3 @ X1662 @ X1663 @ X1664) @ (dsetconstr @ X1662 @ X1663))|(X1663 @ (esk62_3 @ X1662 @ X1663 @ X1664))|~(X1663 @ X1664)|~(in @ X1664 @ X1662))&(((dsetconstr @ X1662 @ X1663)=(setadjoin @ (esk63_3 @ X1662 @ X1663 @ X1664) @ emptyset))|(X1663 @ (esk62_3 @ X1662 @ X1663 @ X1664))|~(X1663 @ X1664)|~(in @ X1664 @ X1662)))&(((in @ (esk63_3 @ X1662 @ X1663 @ X1664) @ (dsetconstr @ X1662 @ X1663))|((esk62_3 @ X1662 @ X1663 @ X1664)!=(X1664))|~(X1663 @ X1664)|~(in @ X1664 @ X1662))&(((dsetconstr @ X1662 @ X1663)=(setadjoin @ (esk63_3 @ X1662 @ X1663 @ X1664) @ emptyset))|((esk62_3 @ X1662 @ X1663 @ X1664)!=(X1664))|~(X1663 @ X1664)|~(in @ X1664 @ X1662)))))&(((((in @ (esk66_2 @ X1667 @ X1668) @ (dsetconstr @ X1667 @ X1668))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(in @ (esk64_2 @ X1667 @ X1668) @ X1667))&(((dsetconstr @ X1667 @ X1668)=(setadjoin @ (esk66_2 @ X1667 @ X1668) @ emptyset))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(in @ (esk64_2 @ X1667 @ X1668) @ X1667)))&((((in @ (esk66_2 @ X1667 @ X1668) @ (dsetconstr @ X1667 @ X1668))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(in @ (esk65_2 @ X1667 @ X1668) @ X1667))&(((dsetconstr @ X1667 @ X1668)=(setadjoin @ (esk66_2 @ X1667 @ X1668) @ emptyset))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(in @ (esk65_2 @ X1667 @ X1668) @ X1667)))&((((in @ (esk66_2 @ X1667 @ X1668) @ (dsetconstr @ X1667 @ X1668))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(X1668 @ (esk64_2 @ X1667 @ X1668)))&(((dsetconstr @ X1667 @ X1668)=(setadjoin @ (esk66_2 @ X1667 @ X1668) @ emptyset))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(X1668 @ (esk64_2 @ X1667 @ X1668))))&((((in @ (esk66_2 @ X1667 @ X1668) @ (dsetconstr @ X1667 @ X1668))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(X1668 @ (esk65_2 @ X1667 @ X1668)))&(((dsetconstr @ X1667 @ X1668)=(setadjoin @ (esk66_2 @ X1667 @ X1668) @ emptyset))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|(X1668 @ (esk65_2 @ X1667 @ X1668))))&(((in @ (esk66_2 @ X1667 @ X1668) @ (dsetconstr @ X1667 @ X1668))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|((esk64_2 @ X1667 @ X1668)!=(esk65_2 @ X1667 @ X1668)))&(((dsetconstr @ X1667 @ X1668)=(setadjoin @ (esk66_2 @ X1667 @ X1668) @ emptyset))|(~(in @ X1671 @ X1667)|~(X1668 @ X1671))|((esk64_2 @ X1667 @ X1668)!=(esk65_2 @ X1667 @ X1668))))))))&((((setadjoin @ X1673 @ emptyset)!=(setadjoin @ X1674 @ emptyset))|((X1673)=(X1674)))&((~(in @ (setadjoin @ X1677 @ emptyset) @ (setadjoin @ (setadjoin @ X1675 @ emptyset) @ (setadjoin @ (setadjoin @ X1675 @ (setadjoin @ X1676 @ emptyset)) @ emptyset)))|((X1675)=(X1677)))&((((in @ (esk67_1 @ X1678) @ (dsetconstr @ (setunion @ X1678) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1678)))))|~(iskpair @ X1678))&(((dsetconstr @ (setunion @ X1678) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1678))))=(setadjoin @ (esk67_1 @ X1678) @ emptyset))|~(iskpair @ X1678)))&((~(in @ X1681 @ X1680)|((X1680)!=(setadjoin @ X1681 @ emptyset))|(in @ (setunion @ X1680) @ X1680))&(((kfst @ (kpair @ X1682 @ X1683))=(X1682))&((~(in @ X1686 @ (cartprod @ X1684 @ X1685))|(in @ (kfst @ X1686) @ X1684))&((((setadjoin @ (setadjoin @ X1687 @ emptyset) @ (setadjoin @ (setadjoin @ X1687 @ (setadjoin @ X1688 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1689 @ emptyset) @ (setadjoin @ (setadjoin @ X1689 @ (setadjoin @ X1690 @ emptyset)) @ emptyset)))|((X1687)=(X1689)))&((((kpair @ X1691 @ X1692)!=(kpair @ X1693 @ X1694))|((X1691)=(X1693)))&((((X1695)!=(X1696))|((setadjoin @ X1695 @ (setadjoin @ X1696 @ emptyset))=(setadjoin @ X1695 @ emptyset)))&((((X1697)!=(X1698))|((setadjoin @ (setadjoin @ X1697 @ emptyset) @ (setadjoin @ (setadjoin @ X1697 @ (setadjoin @ X1698 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1697 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1699 @ emptyset) @ (setadjoin @ (setadjoin @ X1699 @ (setadjoin @ X1700 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1701 @ emptyset) @ (setadjoin @ (setadjoin @ X1701 @ (setadjoin @ X1702 @ emptyset)) @ emptyset)))|(((X1701)!=(X1702))|((X1700)=(X1702))))&((((setadjoin @ X1703 @ (setadjoin @ X1704 @ emptyset))!=(setadjoin @ X1705 @ emptyset))|((X1703)=(X1704)))&((((setadjoin @ (setadjoin @ X1706 @ emptyset) @ (setadjoin @ (setadjoin @ X1706 @ (setadjoin @ X1707 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1708 @ emptyset) @ (setadjoin @ (setadjoin @ X1708 @ (setadjoin @ X1709 @ emptyset)) @ emptyset)))|((X1707)=(X1709)))&((((kpair @ X1710 @ X1711)!=(kpair @ X1712 @ X1713))|((X1711)=(X1713)))&((((in @ (esk68_1 @ X1714) @ (dsetconstr @ (setunion @ X1714) @ (^[Z0/* 3 */:$i]:(((X1714)=(kpair @ (kfst @ X1714) @ Z0))))))|~(iskpair @ X1714))&(((dsetconstr @ (setunion @ X1714) @ (^[Z0/* 3 */:$i]:(((X1714)=(kpair @ (kfst @ X1714) @ Z0)))))=(setadjoin @ (esk68_1 @ X1714) @ emptyset))|~(iskpair @ X1714)))&(((ksnd @ (kpair @ X1716 @ X1717))=(X1717))&((~(iskpair @ X1718)|((kpair @ (kfst @ X1718) @ (ksnd @ X1718))=(X1718)))&((~(in @ X1721 @ (cartprod @ X1719 @ X1720))|(in @ (ksnd @ X1721) @ X1720))&((~(in @ (kpair @ X1724 @ X1725) @ (cartprod @ X1722 @ X1723))|(in @ X1724 @ X1722))&((~(in @ (kpair @ X1728 @ X1729) @ (cartprod @ X1726 @ X1727))|(in @ X1729 @ X1727))&((~(in @ X1732 @ X1730)|(~(in @ X1733 @ X1731)|((kpair @ X1732 @ X1733)=(kpair @ X1732 @ X1733))))&((~(in @ X1736 @ X1734)|(~(in @ X1737 @ X1735)|((kfst @ (kpair @ X1736 @ X1737))=(X1736))))&((~(in @ X1740 @ X1738)|(~(in @ X1741 @ X1739)|((ksnd @ (kpair @ X1740 @ X1741))=(X1741))))&((~(in @ X1744 @ (cartprod @ X1742 @ X1743))|((kpair @ (kfst @ X1744) @ (ksnd @ X1744))=(X1744)))&((~(in @ X1748 @ X1745)|(~(in @ X1749 @ X1746)|(~(X1747 @ X1748 @ X1749)|(in @ (kpair @ X1748 @ X1749) @ (dpsetconstr @ X1745 @ X1746 @ X1747)))))&((subset @ (dpsetconstr @ X1750 @ X1751 @ X1752) @ (cartprod @ X1750 @ X1751))&((subset @ (dpsetconstr @ X1753 @ X1754 @ X1755) @ (cartprod @ X1753 @ X1754))&((~(in @ X1759 @ X1756)|(~(in @ X1760 @ X1757)|(~(in @ (kpair @ X1759 @ X1760) @ (dpsetconstr @ X1756 @ X1757 @ X1758))|(X1758 @ X1759 @ X1760))))&((~(in @ (kpair @ X1764 @ X1765) @ (dpsetconstr @ X1761 @ X1762 @ X1763))|(in @ X1764 @ X1761))&((~(in @ (kpair @ X1769 @ X1770) @ (dpsetconstr @ X1766 @ X1767 @ X1768))|(in @ X1770 @ X1767))&((~(in @ (kpair @ X1774 @ X1775) @ (dpsetconstr @ X1771 @ X1772 @ X1773))|(X1773 @ X1774 @ X1775))&(((((in @ (esk70_4 @ X1776 @ X1777 @ X1778 @ X1781) @ (dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1781 @ Z0) @ X1778)))))|~(in @ X1781 @ X1776)|((in @ (esk69_3 @ X1776 @ X1777 @ X1778) @ X1776)|~(subset @ X1778 @ (cartprod @ X1776 @ X1777))))&(((dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1781 @ Z0) @ X1778))))=(setadjoin @ (esk70_4 @ X1776 @ X1777 @ X1778 @ X1781) @ emptyset))|~(in @ X1781 @ X1776)|((in @ (esk69_3 @ X1776 @ X1777 @ X1778) @ X1776)|~(subset @ X1778 @ (cartprod @ X1776 @ X1777)))))&(((in @ (esk70_4 @ X1776 @ X1777 @ X1778 @ X1781) @ (dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1781 @ Z0) @ X1778)))))|~(in @ X1781 @ X1776)|(~(in @ X1780 @ (dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1776 @ X1777 @ X1778) @ Z0) @ X1778)))))|((dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1776 @ X1777 @ X1778) @ Z0) @ X1778))))!=(setadjoin @ X1780 @ emptyset))|~(subset @ X1778 @ (cartprod @ X1776 @ X1777))))&(((dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1781 @ Z0) @ X1778))))=(setadjoin @ (esk70_4 @ X1776 @ X1777 @ X1778 @ X1781) @ emptyset))|~(in @ X1781 @ X1776)|(~(in @ X1780 @ (dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1776 @ X1777 @ X1778) @ Z0) @ X1778)))))|((dsetconstr @ X1777 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1776 @ X1777 @ X1778) @ Z0) @ X1778))))!=(setadjoin @ X1780 @ emptyset))|~(subset @ X1778 @ (cartprod @ X1776 @ X1777))))))&((((in @ (esk71_3 @ X1783 @ X1784 @ X1785) @ X1783)|~(subset @ X1785 @ (cartprod @ X1783 @ X1784))|(~(in @ X1788 @ X1783)|(in @ (setunion @ (dsetconstr @ X1784 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1788 @ Z0) @ X1785))))) @ X1784)))&(~(in @ X1787 @ (dsetconstr @ X1784 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk71_3 @ X1783 @ X1784 @ X1785) @ Z0) @ X1785)))))|((dsetconstr @ X1784 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk71_3 @ X1783 @ X1784 @ X1785) @ Z0) @ X1785))))!=(setadjoin @ X1787 @ emptyset))|~(subset @ X1785 @ (cartprod @ X1783 @ X1784))|(~(in @ X1788 @ X1783)|(in @ (setunion @ (dsetconstr @ X1784 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1788 @ Z0) @ X1785))))) @ X1784))))&((((in @ (esk72_3 @ X1789 @ X1790 @ X1791) @ X1789)|~(subset @ X1791 @ (cartprod @ X1789 @ X1790))|(~(in @ X1794 @ X1789)|(in @ (ap @ X1789 @ X1790 @ X1791 @ X1794) @ X1790)))&(~(in @ X1793 @ (dsetconstr @ X1790 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk72_3 @ X1789 @ X1790 @ X1791) @ Z0) @ X1791)))))|((dsetconstr @ X1790 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk72_3 @ X1789 @ X1790 @ X1791) @ Z0) @ X1791))))!=(setadjoin @ X1793 @ emptyset))|~(subset @ X1791 @ (cartprod @ X1789 @ X1790))|(~(in @ X1794 @ X1789)|(in @ (ap @ X1789 @ X1790 @ X1791 @ X1794) @ X1790))))&((in @ esk75_0 @ (funcSet @ esk73_0 @ esk74_0))&(((in @ esk76_0 @ esk73_0)|~(subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0)))&(~(in @ X1799 @ (dsetconstr @ esk74_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ esk76_0 @ Z0) @ esk75_0)))))|((dsetconstr @ esk74_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ esk76_0 @ Z0) @ esk75_0))))!=(setadjoin @ X1799 @ emptyset))|~(subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_272])])])])])])])).
1.82/0.98	thf(c_0_275, plain, ![X1821:$i, X1822:$i, X1819:$i]:(((epred2_1 @ X1819 @ X1822 @ X1821)<=>(in @ (kpair @ X1819 @ X1821) @ X1822))), introduced(definition)).
1.82/0.98	thf(c_0_276, plain, ![X1212:$i, X1213:$i]:(((funcSet @ X1212 @ X1213)=(dsetconstr @ (powerset @ (cartprod @ X1212 @ X1213)) @ (^[Z0/* 8 */:$i]:(((subset @ Z0 @ (cartprod @ X1212 @ X1213))&![X619:$i]:(((in @ X619 @ X1212)=>?[X620:$i]:(((in @ X620 @ (dsetconstr @ X1213 @ (^[Z1/* 3 */:$i]:((in @ (kpair @ X619 @ Z1) @ Z0)))))&((dsetconstr @ X1213 @ (^[Z1/* 3 */:$i]:((in @ (kpair @ X619 @ Z1) @ Z0))))=(setadjoin @ X620 @ emptyset)))))))))))), inference(variable_rename,[status(thm)],[c_0_273])).
1.82/0.98	thf(c_0_277, plain, ![X1825:$i, X2:$i, X3:$i]:(((epred3_2 @ X3 @ X2 @ X1825)<=>((subset @ X1825 @ (cartprod @ X2 @ X3))&![X1819:$i]:(((in @ X1819 @ X2)=>?[X1820:$i]:(((in @ X1820 @ (dsetconstr @ X3 @ (epred2_1 @ X1819 @ X1825)))&((dsetconstr @ X3 @ (epred2_1 @ X1819 @ X1825))=(setadjoin @ X1820 @ emptyset))))))))), introduced(definition)).
1.82/0.98	thf(c_0_278, negated_conjecture, ![X2:$i]:((~((((in @ X2 @ (dsetconstr @ esk74_0 @ (epred2_1 @ esk76_0 @ esk75_0))))=(($true))))|((dsetconstr @ esk74_0 @ (epred2_1 @ esk76_0 @ esk75_0))!=(setadjoin @ X2 @ emptyset))|~((subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_274]), c_0_275]), c_0_275])).
1.82/0.98	thf(c_0_279, plain, ![X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1857:$i]:(((((subset @ X1851 @ (cartprod @ X1852 @ X1853))|~(epred3_2 @ X1853 @ X1852 @ X1851))&(((in @ (esk82_4 @ X1851 @ X1852 @ X1853 @ X1854) @ (dsetconstr @ X1853 @ (epred2_1 @ X1854 @ X1851)))|~(in @ X1854 @ X1852)|~(epred3_2 @ X1853 @ X1852 @ X1851))&(((dsetconstr @ X1853 @ (epred2_1 @ X1854 @ X1851))=(setadjoin @ (esk82_4 @ X1851 @ X1852 @ X1853 @ X1854) @ emptyset))|~(in @ X1854 @ X1852)|~(epred3_2 @ X1853 @ X1852 @ X1851))))&(((in @ (esk83_3 @ X1851 @ X1852 @ X1853) @ X1852)|~(subset @ X1851 @ (cartprod @ X1852 @ X1853))|(epred3_2 @ X1853 @ X1852 @ X1851))&(~(in @ X1857 @ (dsetconstr @ X1853 @ (epred2_1 @ (esk83_3 @ X1851 @ X1852 @ X1853) @ X1851)))|((dsetconstr @ X1853 @ (epred2_1 @ (esk83_3 @ X1851 @ X1852 @ X1853) @ X1851))!=(setadjoin @ X1857 @ emptyset))|~(subset @ X1851 @ (cartprod @ X1852 @ X1853))|(epred3_2 @ X1853 @ X1852 @ X1851))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])).
1.82/0.98	thf(c_0_280, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_274])).
1.82/0.98	thf(c_0_281, plain, ![X3:$i, X2:$i]:(((funcSet @ X2 @ X3)=(dsetconstr @ (powerset @ (cartprod @ X2 @ X3)) @ (epred3_2 @ X3 @ X2)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_276]), c_0_277]), c_0_275]), c_0_275])).
1.82/0.98	thf(c_0_282, negated_conjecture, ![X2:$i]:((((dsetconstr @ esk74_0 @ (epred2_1 @ esk76_0 @ esk75_0))!=(setadjoin @ X2 @ emptyset))|~((in @ X2 @ (dsetconstr @ esk74_0 @ (epred2_1 @ esk76_0 @ esk75_0))))|~((subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0))))), inference(cn,[status(thm)],[c_0_278])).
1.82/0.98	thf(c_0_283, plain, ![X5:$i, X4:$i, X3:$i, X2:$i]:(((in @ (esk82_4 @ X2 @ X3 @ X4 @ X5) @ (dsetconstr @ X4 @ (epred2_1 @ X5 @ X2)))|~((in @ X5 @ X3))|~((epred3_2 @ X4 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_279])).
1.82/0.98	thf(c_0_284, plain, ![X3:$i, X2:$i, X5:$i, X4:$i]:((((dsetconstr @ X2 @ (epred2_1 @ X3 @ X4))=(setadjoin @ (esk82_4 @ X4 @ X5 @ X2 @ X3) @ emptyset))|~((in @ X3 @ X5))|~((epred3_2 @ X2 @ X5 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_279])).
1.82/0.98	thf(c_0_285, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((epred3_2 @ X2 @ X3 @ X4)|~((in @ X4 @ (funcSet @ X3 @ X2))))), inference(spm,[status(thm)],[c_0_280, c_0_281])).
1.82/0.98	thf(c_0_286, negated_conjecture, (in @ esk75_0 @ (funcSet @ esk73_0 @ esk74_0)), inference(split_conjunct,[status(thm)],[c_0_274])).
1.82/0.98	thf(c_0_287, negated_conjecture, ![X2:$i]:((~((subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0)))|~((epred3_2 @ esk74_0 @ X2 @ esk75_0))|~((in @ esk76_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282, c_0_283]), c_0_284])).
1.82/0.98	thf(c_0_288, negated_conjecture, (epred3_2 @ esk74_0 @ esk73_0 @ esk75_0), inference(spm,[status(thm)],[c_0_285, c_0_286])).
1.82/0.98	thf(c_0_289, negated_conjecture, ((in @ esk76_0 @ esk73_0)|~((subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0)))), inference(split_conjunct,[status(thm)],[c_0_274])).
1.82/0.98	thf(c_0_290, plain, ![X4:$i, X3:$i, X2:$i]:(((subset @ X2 @ (cartprod @ X3 @ X4))|~((epred3_2 @ X4 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_279])).
1.82/0.98	thf(c_0_291, negated_conjecture, ~((subset @ esk75_0 @ (cartprod @ esk73_0 @ esk74_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287, c_0_288]), c_0_289])).
1.82/0.98	thf(c_0_292, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290, c_0_288]), c_0_291]), ['proof']).
1.82/0.98	# SZS output end CNFRefutation
1.82/0.98	# Parsed axioms                        : 427
1.82/0.98	# Removed by relevancy pruning/SinE    : 0
1.82/0.98	# Initial clauses                      : 592
1.82/0.98	# Removed in clause preprocessing      : 253
1.82/0.98	# Initial clauses in saturation        : 339
1.82/0.98	# Processed clauses                    : 1201
1.82/0.98	# ...of these trivial                  : 19
1.82/0.98	# ...subsumed                          : 271
1.82/0.98	# ...remaining for further processing  : 910
1.82/0.98	# Other redundant clauses eliminated   : 142
1.82/0.98	# Clauses deleted for lack of memory   : 0
1.82/0.98	# Backward-subsumed                    : 41
1.82/0.98	# Backward-rewritten                   : 7
1.82/0.98	# Generated clauses                    : 15924
1.82/0.98	# ...of the previous two non-redundant : 15490
1.82/0.98	# ...aggressively subsumed             : 0
1.82/0.98	# Contextual simplify-reflections      : 3
1.82/0.98	# Paramodulations                      : 15640
1.82/0.98	# Factorizations                       : 2
1.82/0.98	# NegExts                              : 22
1.82/0.98	# Equation resolutions                 : 148
1.82/0.98	# Disequality decompositions           : 0
1.82/0.98	# Total rewrite steps                  : 515
1.82/0.98	# ...of those cached                   : 362
1.82/0.98	# Propositional unsat checks           : 0
1.82/0.98	#    Propositional check models        : 0
1.82/0.98	#    Propositional check unsatisfiable : 0
1.82/0.98	#    Propositional clauses             : 0
1.82/0.98	#    Propositional clauses after purity: 0
1.82/0.98	#    Propositional unsat core size     : 0
1.82/0.98	#    Propositional preprocessing time  : 0.000
1.82/0.98	#    Propositional encoding time       : 0.000
1.82/0.98	#    Propositional solver time         : 0.000
1.82/0.98	#    Success case prop preproc time    : 0.000
1.82/0.98	#    Success case prop encoding time   : 0.000
1.82/0.98	#    Success case prop solver time     : 0.000
1.82/0.98	# Current number of processed clauses  : 548
1.82/0.98	#    Positive orientable unit clauses  : 52
1.82/0.98	#    Positive unorientable unit clauses: 1
1.82/0.98	#    Negative unit clauses             : 29
1.82/0.98	#    Non-unit-clauses                  : 466
1.82/0.98	# Current number of unprocessed clauses: 14866
1.82/0.98	# ...number of literals in the above   : 57019
1.82/0.98	# Current number of archived formulas  : 0
1.82/0.98	# Current number of archived clauses   : 346
1.82/0.98	# Clause-clause subsumption calls (NU) : 48321
1.82/0.98	# Rec. Clause-clause subsumption calls : 21725
1.82/0.98	# Non-unit clause-clause subsumptions  : 184
1.82/0.98	# Unit Clause-clause subsumption calls : 1588
1.82/0.98	# Rewrite failures with RHS unbound    : 0
1.82/0.98	# BW rewrite match attempts            : 30
1.82/0.98	# BW rewrite match successes           : 7
1.82/0.98	# Condensation attempts                : 0
1.82/0.98	# Condensation successes               : 0
1.82/0.98	# Termbank termtop insertions          : 363053
1.82/0.98	# Search garbage collected termcells   : 19710
1.82/0.98	
1.82/0.98	# -------------------------------------------------
1.82/0.98	# User time                : 0.418 s
1.82/0.98	# System time              : 0.018 s
1.82/0.98	# Total time               : 0.436 s
1.82/0.98	# Maximum resident set size: 6656 pages
1.82/0.98	
1.82/0.98	# -------------------------------------------------
1.82/0.98	# User time                : 0.429 s
1.82/0.98	# System time              : 0.021 s
1.82/0.98	# Total time               : 0.450 s
1.82/0.98	# Maximum resident set size: 2468 pages
1.82/0.98	% E exiting
1.82/0.98	% E exiting
1.82/0.98	EOF