0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_E %s %d THM
0.14/0.34	% Computer : n015.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 960
0.14/0.34	% WCLimit    : 120
0.14/0.34	% DateTime   : Tue Aug  9 05:04:56 EDT 2022
0.14/0.34	% CPUTime    : 
0.21/0.48	Running higher-order on 8 cores theorem proving
0.21/0.48	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.48	# Version: 3.0pre003-ho
0.21/0.56	# Preprocessing class: HSMMSLSSLLLCHFA.
0.21/0.56	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.21/0.56	# Starting ehoh_best3_avoidappvar with 600s (5) cores
0.21/0.56	# Starting ehoh_best3_rw with 120s (1) cores
0.21/0.56	# Starting almost_fo_3 with 120s (1) cores
0.21/0.56	# Starting new_ho_13 with 120s (1) cores
0.21/0.56	# ehoh_best3_avoidappvar with pid 20833 completed with status 0
0.21/0.56	# Result found by ehoh_best3_avoidappvar
0.21/0.56	# Preprocessing class: HSMMSLSSLLLCHFA.
0.21/0.56	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.21/0.56	# Starting ehoh_best3_avoidappvar with 600s (5) cores
0.21/0.56	# No SInE strategy applied
0.21/0.56	# Search class: HGHSM-FSLM31-MHFMMSBN
0.21/0.56	# Scheduled 6 strats onto 5 cores with 600 seconds (600 total)
0.21/0.56	# Starting new_ho_10_cnf2 with 325s (1) cores
0.21/0.56	# Starting ehoh_best3_avoidappvar with 61s (1) cores
0.21/0.56	# Starting ho_unfolding_7 with 55s (1) cores
0.21/0.56	# Starting lpo8_s with 55s (1) cores
0.21/0.56	# Starting almost_fo_3 with 55s (1) cores
0.21/0.56	# ehoh_best3_avoidappvar with pid 20839 completed with status 0
0.21/0.56	# Result found by ehoh_best3_avoidappvar
0.21/0.56	# Preprocessing class: HSMMSLSSLLLCHFA.
0.21/0.56	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.21/0.56	# Starting ehoh_best3_avoidappvar with 600s (5) cores
0.21/0.56	# No SInE strategy applied
0.21/0.56	# Search class: HGHSM-FSLM31-MHFMMSBN
0.21/0.56	# Scheduled 6 strats onto 5 cores with 600 seconds (600 total)
0.21/0.56	# Starting new_ho_10_cnf2 with 325s (1) cores
0.21/0.56	# Starting ehoh_best3_avoidappvar with 61s (1) cores
0.21/0.56	# Preprocessing time       : 0.006 s
0.21/0.56	# Presaturation interreduction done
0.21/0.56	
0.21/0.56	# Proof found!
0.21/0.56	# SZS status Theorem
0.21/0.56	# SZS output start CNFRefutation
0.21/0.56	thf(decl_22, type, in: $i > $i > $o).
0.21/0.56	thf(decl_23, type, exu: ($i > $o) > $o).
0.21/0.56	thf(decl_24, type, setextAx: $o).
0.21/0.56	thf(decl_25, type, emptyset: $i).
0.21/0.56	thf(decl_26, type, emptysetAx: $o).
0.21/0.56	thf(decl_27, type, setadjoin: $i > $i > $i).
0.21/0.56	thf(decl_28, type, setadjoinAx: $o).
0.21/0.56	thf(decl_29, type, powerset: $i > $i).
0.21/0.56	thf(decl_30, type, powersetAx: $o).
0.21/0.56	thf(decl_31, type, setunion: $i > $i).
0.21/0.56	thf(decl_32, type, setunionAx: $o).
0.21/0.56	thf(decl_33, type, omega: $i).
0.21/0.56	thf(decl_34, type, omega0Ax: $o).
0.21/0.56	thf(decl_35, type, omegaSAx: $o).
0.21/0.56	thf(decl_36, type, omegaIndAx: $o).
0.21/0.56	thf(decl_37, type, replAx: $o).
0.21/0.56	thf(decl_38, type, foundationAx: $o).
0.21/0.56	thf(decl_39, type, wellorderingAx: $o).
0.21/0.56	thf(decl_40, type, descr: ($i > $o) > $i).
0.21/0.56	thf(decl_41, type, descrp: $o).
0.21/0.56	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_43, type, dsetconstrI: $o).
0.21/0.56	thf(decl_44, type, dsetconstrEL: $o).
0.21/0.56	thf(decl_45, type, dsetconstrER: $o).
0.21/0.56	thf(decl_46, type, exuE1: $o).
0.21/0.56	thf(decl_47, type, prop2set: $o > $i).
0.21/0.56	thf(decl_48, type, prop2setE: $o).
0.21/0.56	thf(decl_49, type, emptysetE: $o).
0.21/0.56	thf(decl_50, type, emptysetimpfalse: $o).
0.21/0.56	thf(decl_51, type, notinemptyset: $o).
0.21/0.56	thf(decl_52, type, exuE3e: $o).
0.21/0.56	thf(decl_53, type, setext: $o).
0.21/0.56	thf(decl_54, type, emptyI: $o).
0.21/0.56	thf(decl_55, type, noeltsimpempty: $o).
0.21/0.56	thf(decl_56, type, setbeta: $o).
0.21/0.56	thf(decl_57, type, nonempty: $i > $o).
0.21/0.56	thf(decl_58, type, nonemptyE1: $o).
0.21/0.56	thf(decl_59, type, nonemptyI: $o).
0.21/0.56	thf(decl_60, type, nonemptyI1: $o).
0.21/0.56	thf(decl_61, type, setadjoinIL: $o).
0.21/0.56	thf(decl_62, type, emptyinunitempty: $o).
0.21/0.56	thf(decl_63, type, setadjoinIR: $o).
0.21/0.56	thf(decl_64, type, setadjoinE: $o).
0.21/0.56	thf(decl_65, type, setadjoinOr: $o).
0.21/0.56	thf(decl_66, type, setoftrueEq: $o).
0.21/0.56	thf(decl_67, type, powersetI: $o).
0.21/0.56	thf(decl_68, type, emptyinPowerset: $o).
0.21/0.56	thf(decl_69, type, emptyInPowerset: $o).
0.21/0.56	thf(decl_70, type, powersetE: $o).
0.21/0.56	thf(decl_71, type, setunionI: $o).
0.21/0.56	thf(decl_72, type, setunionE: $o).
0.21/0.56	thf(decl_73, type, subPowSU: $o).
0.21/0.56	thf(decl_74, type, exuE2: $o).
0.21/0.56	thf(decl_75, type, nonemptyImpWitness: $o).
0.21/0.56	thf(decl_76, type, uniqinunit: $o).
0.21/0.56	thf(decl_77, type, notinsingleton: $o).
0.21/0.56	thf(decl_78, type, eqinunit: $o).
0.21/0.56	thf(decl_79, type, singletonsswitch: $o).
0.21/0.56	thf(decl_80, type, upairsetE: $o).
0.21/0.56	thf(decl_81, type, upairsetIL: $o).
0.21/0.56	thf(decl_82, type, upairsetIR: $o).
0.21/0.56	thf(decl_83, type, emptyE1: $o).
0.21/0.56	thf(decl_84, type, vacuousDall: $o).
0.21/0.56	thf(decl_85, type, quantDeMorgan1: $o).
0.21/0.56	thf(decl_86, type, quantDeMorgan2: $o).
0.21/0.56	thf(decl_87, type, quantDeMorgan3: $o).
0.21/0.56	thf(decl_88, type, quantDeMorgan4: $o).
0.21/0.56	thf(decl_89, type, prop2setI: $o).
0.21/0.56	thf(decl_90, type, set2prop: $i > $o).
0.21/0.56	thf(decl_91, type, prop2set2propI: $o).
0.21/0.56	thf(decl_92, type, notdexE: $o).
0.21/0.56	thf(decl_93, type, notdallE: $o).
0.21/0.56	thf(decl_94, type, exuI1: $o).
0.21/0.56	thf(decl_95, type, exuI3: $o).
0.21/0.56	thf(decl_96, type, exuI2: $o).
0.21/0.56	thf(decl_97, type, inCongP: $o).
0.21/0.56	thf(decl_98, type, in__Cong: $o).
0.21/0.56	thf(decl_99, type, exuE3u: $o).
0.21/0.56	thf(decl_100, type, exu__Cong: $o).
0.21/0.56	thf(decl_101, type, emptyset__Cong: $o).
0.21/0.56	thf(decl_102, type, setadjoin__Cong: $o).
0.21/0.56	thf(decl_103, type, powerset__Cong: $o).
0.21/0.56	thf(decl_104, type, setunion__Cong: $o).
0.21/0.56	thf(decl_105, type, omega__Cong: $o).
0.21/0.56	thf(decl_106, type, exuEu: $o).
0.21/0.56	thf(decl_107, type, descr__Cong: $o).
0.21/0.56	thf(decl_108, type, dsetconstr__Cong: $o).
0.21/0.56	thf(decl_109, type, subset: $i > $i > $o).
0.21/0.56	thf(decl_110, type, disjoint: $i > $i > $o).
0.21/0.56	thf(decl_111, type, setsmeet: $i > $i > $o).
0.21/0.56	thf(decl_112, type, subsetI1: $o).
0.21/0.56	thf(decl_113, type, eqimpsubset2: $o).
0.21/0.56	thf(decl_114, type, eqimpsubset1: $o).
0.21/0.56	thf(decl_115, type, subsetI2: $o).
0.21/0.56	thf(decl_116, type, emptysetsubset: $o).
0.21/0.56	thf(decl_117, type, subsetE: $o).
0.21/0.56	thf(decl_118, type, subsetE2: $o).
0.21/0.56	thf(decl_119, type, notsubsetI: $o).
0.21/0.56	thf(decl_120, type, notequalI1: $o).
0.21/0.56	thf(decl_121, type, notequalI2: $o).
0.21/0.56	thf(decl_122, type, subsetRefl: $o).
0.21/0.56	thf(decl_123, type, subsetTrans: $o).
0.21/0.56	thf(decl_124, type, setadjoinSub: $o).
0.21/0.56	thf(decl_125, type, setadjoinSub2: $o).
0.21/0.56	thf(decl_126, type, subset2powerset: $o).
0.21/0.56	thf(decl_127, type, setextsub: $o).
0.21/0.56	thf(decl_128, type, subsetemptysetimpeq: $o).
0.21/0.56	thf(decl_129, type, powersetI1: $o).
0.21/0.56	thf(decl_130, type, powersetE1: $o).
0.21/0.56	thf(decl_131, type, inPowerset: $o).
0.21/0.56	thf(decl_132, type, powersetsubset: $o).
0.21/0.56	thf(decl_133, type, sepInPowerset: $o).
0.21/0.56	thf(decl_134, type, sepSubset: $o).
0.21/0.56	thf(decl_135, type, binunion: $i > $i > $i).
0.21/0.56	thf(decl_136, type, epred1_0: $o).
0.21/0.56	thf(decl_137, type, esk1_2: $i > $i > $i).
0.21/0.56	thf(decl_138, type, esk2_2: $i > $i > $i).
0.21/0.56	thf(decl_139, type, esk3_2: $i > $i > $i).
0.21/0.56	thf(decl_140, type, esk4_1: $i > $i).
0.21/0.56	thf(decl_141, type, esk5_2: ($i > $i > $o) > $i > $i).
0.21/0.56	thf(decl_142, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.21/0.56	thf(decl_143, type, esk7_2: ($i > $i > $o) > $i > $i).
0.21/0.56	thf(decl_144, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.21/0.56	thf(decl_145, type, esk9_1: $i > $i).
0.21/0.56	thf(decl_146, type, esk10_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_147, type, esk11_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_148, type, esk12_1: ($i > $o) > $i).
0.21/0.56	thf(decl_149, type, esk13_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_150, type, esk14_1: ($i > $o) > $i).
0.21/0.56	thf(decl_151, type, esk15_2: $i > $i > $i).
0.21/0.56	thf(decl_152, type, esk16_2: $i > $i > $i).
0.21/0.56	thf(decl_153, type, esk17_1: $i > $i).
0.21/0.56	thf(decl_154, type, esk18_1: $i > $i).
0.21/0.56	thf(decl_155, type, esk19_1: $i > $i).
0.21/0.56	thf(decl_156, type, esk20_2: $i > $i > $i).
0.21/0.56	thf(decl_157, type, esk21_3: $i > $i > $o > $i).
0.21/0.56	thf(decl_158, type, esk22_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_159, type, esk23_1: ($i > $o) > $i).
0.21/0.56	thf(decl_160, type, esk24_1: $i > $i).
0.21/0.56	thf(decl_161, type, esk25_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_162, type, esk26_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_163, type, esk27_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_164, type, esk28_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_165, type, esk29_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_166, type, esk30_2: $i > ($i > $o) > $i).
0.21/0.56	thf(decl_167, type, esk31_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_168, type, esk32_1: ($i > $o) > $i).
0.21/0.56	thf(decl_169, type, esk33_1: ($i > $o) > $i).
0.21/0.56	thf(decl_170, type, esk34_1: ($i > $o) > $i).
0.21/0.56	thf(decl_171, type, esk35_1: ($i > $o) > $i).
0.21/0.56	thf(decl_172, type, esk36_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_173, type, esk37_1: ($i > $o) > $i).
0.21/0.56	thf(decl_174, type, esk38_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_175, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_176, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_177, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.21/0.56	thf(decl_178, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_179, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.21/0.56	thf(decl_180, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_181, type, esk45_2: ($i > $o) > $i > $i).
0.21/0.56	thf(decl_182, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_183, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_184, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.21/0.56	thf(decl_185, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.21/0.56	thf(decl_186, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_187, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.21/0.56	thf(decl_188, type, esk52_2: $i > $i > $i).
0.21/0.56	thf(decl_189, type, esk53_2: $i > $i > $i).
0.21/0.56	thf(decl_190, type, esk54_0: $i).
0.21/0.56	thf(decl_191, type, esk55_0: $i).
0.21/0.56	thf(decl_192, type, esk56_0: $i).
0.21/0.56	thf(decl_193, type, esk57_1: $i > $i).
0.21/0.56	thf(decl_194, type, esk58_3: $i > $i > $i > $i).
0.21/0.56	thf(decl_195, type, esk59_2: $i > $i > $i).
0.21/0.56	thf(decl_196, type, esk60_2: $i > $i > $i).
0.21/0.56	thf(decl_197, type, esk61_2: $i > $i > $i).
0.21/0.56	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)).
0.21/0.56	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)).
0.21/0.56	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)).
0.21/0.56	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)).
0.21/0.56	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)).
0.21/0.56	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)).
0.21/0.56	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)).
0.21/0.56	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)).
0.21/0.56	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI1)).
0.21/0.56	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)).
0.21/0.56	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)).
0.21/0.56	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3u)).
0.21/0.56	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)).
0.21/0.56	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)).
0.21/0.56	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)).
0.21/0.56	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)).
0.21/0.56	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)).
0.21/0.56	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)).
0.21/0.56	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)).
0.21/0.56	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)).
0.21/0.56	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)).
0.21/0.56	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)).
0.21/0.56	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)).
0.21/0.56	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyE1)).
0.21/0.56	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)).
0.21/0.56	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)).
0.21/0.56	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)).
0.21/0.56	thf(binunionIL, conjecture, (((emptysetAx)=>(((powersetAx)=>(((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((((descrp)=>((((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>(((nonemptyI1)=>((((setadjoinIR)=>(((((powersetI)=>(((((((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((notinsingleton)=>((eqinunit)=>((((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>(((quantDeMorgan2)=>(((((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>(((exuI2)=>((inCongP)=>((((exu__Cong)=>((emptyset__Cong)=>(((((((descr__Cong)=>((dsetconstr__Cong)=>(((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>(((((((((setadjoinSub)=>((setadjoinSub2)=>(((setextsub)=>((subsetemptysetimpeq)=>((((inPowerset)=>(((sepInPowerset)=>(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))<=(in @ X2 @ X4)))<=(sepSubset)))<=(powersetsubset)))<=(powersetE1))<=(powersetI1))))<=(subset2powerset))))<=(subsetTrans))<=(subsetRefl))<=(notequalI2))<=(notequalI1))<=(notsubsetI))<=(subsetE2))<=(subsetE)))<=(subsetI2))))<=(subsetI1))))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))<=(setadjoin__Cong))))<=(exuE3u))<=(in__Cong))))<=(exuI3))))))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3)))<=(quantDeMorgan1))))))<=(upairsetE))<=(singletonsswitch))))<=(uniqinunit)))))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset)))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE)))<=(emptyinunitempty))<=(setadjoinIL)))<=(nonemptyI)))<=(setbeta)))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))))))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx))<=(foundationAx))<=(replAx)))))<=(setunionAx)))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)).
0.21/0.56	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)).
0.21/0.56	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)).
0.21/0.56	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)).
0.21/0.56	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)).
0.21/0.56	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)).
0.21/0.56	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)).
0.21/0.56	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)).
0.21/0.56	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)).
0.21/0.56	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)).
0.21/0.56	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)).
0.21/0.56	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)).
0.21/0.56	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)).
0.21/0.56	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)).
0.21/0.56	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)).
0.21/0.56	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setext)).
0.21/0.56	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)).
0.21/0.56	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)).
0.21/0.56	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)).
0.21/0.56	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)).
0.21/0.56	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)).
0.21/0.56	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinE)).
0.21/0.56	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)).
0.21/0.56	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)).
0.21/0.56	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)).
0.21/0.56	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)).
0.21/0.56	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)).
0.21/0.56	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)).
0.21/0.56	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)).
0.21/0.56	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)).
0.21/0.56	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)).
0.21/0.56	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)).
0.21/0.56	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)).
0.21/0.56	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)).
0.21/0.56	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)).
0.21/0.56	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)).
0.21/0.56	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)).
0.21/0.56	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)).
0.21/0.56	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)).
0.21/0.56	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)).
0.21/0.56	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)).
0.21/0.56	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)).
0.21/0.56	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)).
0.21/0.56	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2set2propI)).
0.21/0.56	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)).
0.21/0.56	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)).
0.21/0.56	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)).
0.21/0.56	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in__Cong)).
0.21/0.56	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)).
0.21/0.56	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)).
0.21/0.56	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)).
0.21/0.56	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)).
0.21/0.56	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)).
0.21/0.56	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)).
0.21/0.56	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)).
0.21/0.56	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)).
0.21/0.56	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)).
0.21/0.56	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)).
0.21/0.56	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)).
0.21/0.56	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)).
0.21/0.56	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)).
0.21/0.56	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)).
0.21/0.56	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)).
0.21/0.56	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)).
0.21/0.56	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)).
0.21/0.56	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)).
0.21/0.56	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)).
0.21/0.56	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)).
0.21/0.56	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)).
0.21/0.56	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)).
0.21/0.56	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)).
0.21/0.56	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)).
0.21/0.56	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)).
0.21/0.56	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)).
0.21/0.56	thf(binunion, axiom, ((binunion)=(^[X2:$i, X3:$i]:(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunion)).
0.21/0.56	thf(c_0_102, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.21/0.56	thf(c_0_103, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.21/0.56	thf(c_0_104, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.21/0.56	thf(c_0_105, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.21/0.56	thf(c_0_106, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.21/0.56	thf(c_0_107, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.21/0.56	thf(c_0_108, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.21/0.56	thf(c_0_109, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.21/0.56	thf(c_0_110, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.21/0.56	thf(c_0_111, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.21/0.56	thf(c_0_112, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.21/0.56	thf(c_0_113, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.21/0.56	thf(c_0_114, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.21/0.56	thf(c_0_115, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.21/0.56	thf(c_0_116, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.21/0.56	thf(c_0_117, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X284:$i]:((((X6 @ X2 @ X284))&![X285:$i]:((((X6 @ X2 @ X285))=>((X284)=(X285)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_103])).
0.21/0.56	thf(c_0_118, plain, ((descrp)=(![X1:$i > $o]:(((?[X286:$i]:((((X1 @ X286))&![X287:$i]:((((X1 @ X287))=>((X286)=(X287)))))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_103])).
0.21/0.56	thf(c_0_119, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.21/0.56	thf(c_0_120, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.21/0.56	thf(c_0_121, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.21/0.56	thf(c_0_122, plain, ((exuE1)=(![X1:$i > $o]:(((?[X288:$i]:((((X1 @ X288))&![X289:$i]:((((X1 @ X289))=>((X288)=(X289)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_103])).
0.21/0.56	thf(c_0_123, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X290:$i]:((((X1 @ X290))&![X291:$i]:((((X1 @ X291))=>((X290)=(X291)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_106, c_0_103])).
0.21/0.56	thf(c_0_124, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.21/0.56	thf(c_0_125, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_107])).
0.21/0.56	thf(c_0_126, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_107])).
0.21/0.56	thf(c_0_127, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_107])).
0.21/0.56	thf(c_0_128, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.21/0.56	thf(c_0_129, plain, ((exuE2)=(![X1:$i > $o]:(((?[X292:$i]:((((X1 @ X292))&![X293:$i]:((((X1 @ X293))=>((X292)=(X293)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_103])).
0.21/0.56	thf(c_0_130, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_107])).
0.21/0.56	thf(c_0_131, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.21/0.56	thf(c_0_132, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X294:$i]:((((X1 @ X294))&![X295:$i]:((((X1 @ X295))=>((X294)=(X295))))))))))), inference(apply_def,[status(thm)],[c_0_110, c_0_103])).
0.21/0.56	thf(c_0_133, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X296:$i]:((((X1 @ X296))&![X297:$i]:((((X1 @ X297))=>((X296)=(X297)))))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_103])).
0.21/0.56	thf(c_0_134, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X298:$i]:((((X1 @ X298))&![X299:$i]:((((X1 @ X299))=>((X298)=(X299))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_103])).
0.21/0.56	thf(c_0_135, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X300:$i]:((((X1 @ X300))&![X301:$i]:((((X1 @ X301))=>((X300)=(X301)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_103])).
0.21/0.56	thf(c_0_136, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X302:$i]:((((X1 @ X302))&![X303:$i]:((((X1 @ X303))=>((X302)=(X303)))))))<=>(?[X304:$i]:((((X17 @ X304))&![X305:$i]:((((X17 @ X305))=>((X304)=(X305)))))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_103])).
0.21/0.56	thf(c_0_137, plain, ((exuEu)=(![X1:$i > $o]:(((?[X306:$i]:((((X1 @ X306))&![X307:$i]:((((X1 @ X307))=>((X306)=(X307)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_103])).
0.21/0.56	thf(c_0_138, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X308:$i]:((((X1 @ X308))&![X309:$i]:((((X1 @ X309))=>((X308)=(X309)))))))=>((?[X310:$i]:((((X17 @ X310))&![X311:$i]:((((X17 @ X311))=>((X310)=(X311)))))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_103])).
0.21/0.56	thf(c_0_139, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.21/0.56	thf(c_0_140, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.21/0.56	thf(c_0_141, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.21/0.56	thf(c_0_142, plain, ((epred1_0)<=>![X562:$i]:(?[X563:$i]:((((![X564:$i]:(((in @ X564 @ X563)=>![X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ X562)))))&![X566:$i, X567:$i]:((((in @ X566 @ X562)&(in @ X567 @ X562))=>(![X568:$i]:(((in @ X568 @ X563)=>((in @ X566 @ X568)<=>(in @ X567 @ X568))))=>((X566)=(X567))))))&![X569:$i, X570:$i]:((((in @ X569 @ X563)&(in @ X570 @ X563))=>(![X571:$i]:(((in @ X571 @ X569)=>(in @ X571 @ X570)))|![X572:$i]:(((in @ X572 @ X570)=>(in @ X572 @ X569)))))))&![X573:$i]:(((![X574:$i]:(((in @ X574 @ X573)=>(in @ X574 @ X562)))&?[X575:$i]:((in @ X575 @ X573)))=>?[X576:$i, X577:$i]:(((((in @ X576 @ X563)&(in @ X577 @ X573))&~(?[X578:$i]:(((in @ X578 @ X576)&(in @ X578 @ X573)))))&![X579:$i]:(((in @ X579 @ X563)=>(![X580:$i]:(((in @ X580 @ X579)=>(in @ X580 @ X576)))|(in @ X577 @ X579)))))))))))), introduced(definition)).
0.21/0.56	thf(c_0_143, negated_conjecture, ~((![X599:$i, X600:$i]:((![X601:$i]:(((in @ X601 @ X599)<=>(in @ X601 @ X600)))=>((X599)=(X600))))=>(![X312:$i]:(~(in @ X312 @ emptyset))=>(![X596:$i, X597:$i, X598:$i]:(((in @ X598 @ (setadjoin @ X596 @ X597))<=>(((X598)=(X596))|(in @ X598 @ X597))))=>(![X313:$i, X314:$i]:(((in @ X314 @ (powerset @ X313))<=>![X315:$i]:(((in @ X315 @ X314)=>(in @ X315 @ X313)))))=>(![X593:$i, X594:$i]:(((in @ X594 @ (setunion @ X593))<=>?[X595:$i]:(((in @ X594 @ X595)&(in @ X595 @ X593)))))=>((in @ emptyset @ omega)=>(![X316:$i]:(((in @ X316 @ omega)=>(in @ (setadjoin @ X316 @ X316) @ omega)))=>(![X317:$i]:((((in @ emptyset @ X317)&![X318:$i]:((((in @ X318 @ omega)&(in @ X318 @ X317))=>(in @ (setadjoin @ X318 @ X318) @ X317))))=>![X319:$i]:(((in @ X319 @ omega)=>(in @ X319 @ X317)))))=>(![X585:$i > $i > $o, X586:$i]:((![X587:$i]:(((in @ X587 @ X586)=>?[X588:$i]:(((X585 @ X587 @ X588)&![X589:$i]:(((X585 @ X587 @ X589)=>((X588)=(X589))))))))=>?[X590:$i]:(![X591:$i]:(((in @ X591 @ X590)<=>?[X592:$i]:(((in @ X592 @ X586)&(X585 @ X592 @ X591))))))))=>(![X581:$i]:((?[X582:$i]:((in @ X582 @ X581))=>?[X583:$i]:(((in @ X583 @ X581)&~(?[X584:$i]:(((in @ X584 @ X583)&(in @ X584 @ X581))))))))=>((epred1_0)=>(![X320:$i > $o]:((?[X321:$i]:(((X320 @ X321)&![X322:$i]:(((X320 @ X322)=>((X321)=(X322))))))=>(X320 @ (descr @ (^[Z0:$i]:((X320 @ Z0)))))))=>(![X559:$i, X560:$i > $o, X561:$i]:(((in @ X561 @ X559)=>((X560 @ X561)=>(in @ X561 @ (dsetconstr @ X559 @ (^[Z0:$i]:((X560 @ Z0))))))))=>(![X556:$i, X557:$i > $o, X558:$i]:(((in @ X558 @ (dsetconstr @ X556 @ (^[Z0:$i]:((X557 @ Z0)))))=>(in @ X558 @ X556)))=>(![X323:$i, X324:$i > $o, X325:$i]:(((in @ X325 @ (dsetconstr @ X323 @ (^[Z0:$i]:((X324 @ Z0)))))=>(X324 @ X325)))=>(![X326:$i > $o]:((?[X327:$i]:(((X326 @ X327)&![X328:$i]:(((X326 @ X328)=>((X327)=(X328))))))=>?[X329:$i]:(((X326 @ X329)&![X330:$i]:(((X326 @ X330)=>((X329)=(X330))))))))=>(![X331:$o, X332:$i]:(((in @ X332 @ (prop2set @ ((X331))))=>(X331)))=>(![X333:$i]:(((in @ X333 @ emptyset)=>![X334:$o]:((X334))))=>(![X555:$i]:(~(in @ X555 @ emptyset))=>(![X554:$i]:(~(in @ X554 @ emptyset))=>(![X335:$i > $o]:((?[X336:$i]:(((X335 @ X336)&![X337:$i]:(((X335 @ X337)=>((X336)=(X337))))))=>?[X338:$i]:((X335 @ X338))))=>(![X339:$i, X340:$i]:((![X341:$i]:(((in @ X341 @ X339)=>(in @ X341 @ X340)))=>(![X342:$i]:(((in @ X342 @ X340)=>(in @ X342 @ X339)))=>((X339)=(X340)))))=>(![X552:$i]:((![X553:$i]:(~(in @ X553 @ X552))=>((X552)=(emptyset))))=>(![X343:$i]:((![X344:$i]:(~(in @ X344 @ X343))=>((X343)=(emptyset))))=>(![X549:$i, X550:$i > $o, X551:$i]:(((in @ X551 @ X549)=>((in @ X551 @ (dsetconstr @ X549 @ (^[Z0:$i]:((X550 @ Z0)))))<=>(X550 @ X551))))=>(![X345:$i]:((((X345)!=(emptyset))=>?[X346:$i]:((in @ X346 @ X345))))=>(![X546:$i, X547:$i > $o, X548:$i]:(((in @ X548 @ X546)=>((X547 @ X548)=>((dsetconstr @ X546 @ (^[Z0:$i]:((X547 @ Z0))))!=(emptyset)))))=>(![X347:$i]:((?[X348:$i]:((in @ X348 @ X347))=>((X347)!=(emptyset))))=>(![X544:$i, X545:$i]:((in @ X544 @ (setadjoin @ X544 @ X545)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X349:$i, X350:$i, X351:$i]:(((in @ X351 @ X350)=>(in @ X351 @ (setadjoin @ X349 @ X350))))=>(![X540:$i, X541:$i, X542:$i]:(((in @ X542 @ (setadjoin @ X540 @ X541))=>![X543:$o]:(((((X542)=(X540))=>(X543))=>(((in @ X542 @ X541)=>(X543))=>(X543))))))=>(![X537:$i, X538:$i, X539:$i]:(((in @ X539 @ (setadjoin @ X537 @ X538))=>(((X539)=(X537))|(in @ X539 @ X538))))=>(![X536:$i]:(((dsetconstr @ X536 @ (^[Z0:$i]:(($true))))=(X536)))=>(![X352:$i, X353:$i]:((![X354:$i]:(((in @ X354 @ X353)=>(in @ X354 @ X352)))=>(in @ X353 @ (powerset @ X352))))=>(![X535:$i]:((in @ emptyset @ (powerset @ X535)))=>(![X534:$i]:((in @ emptyset @ (powerset @ X534)))=>(![X531:$i, X532:$i, X533:$i]:(((in @ X532 @ (powerset @ X531))=>((in @ X533 @ X532)=>(in @ X533 @ X531))))=>(![X528:$i, X529:$i, X530:$i]:(((in @ X529 @ X530)=>((in @ X530 @ X528)=>(in @ X529 @ (setunion @ X528)))))=>(![X524:$i, X525:$i]:(((in @ X525 @ (setunion @ X524))=>![X526:$o]:((![X527:$i]:(((in @ X525 @ X527)=>((in @ X527 @ X524)=>(X526))))=>(X526)))))=>(![X355:$i, X356:$i]:(((in @ X356 @ X355)=>(in @ X356 @ (powerset @ (setunion @ X355)))))=>(![X357:$i > $o]:((?[X358:$i]:(((X357 @ X358)&![X359:$i]:(((X357 @ X359)=>((X358)=(X359))))))=>?[X360:$i]:(![X361:$i]:(((X357 @ X361)<=>((X361)=(X360)))))))=>(![X362:$i]:((((X362)!=(emptyset))=>?[X363:$i]:((in @ X363 @ X362))))=>(![X522:$i, X523:$i]:(((in @ X522 @ (setadjoin @ X523 @ emptyset))=>((X522)=(X523))))=>(![X364:$i, X365:$i]:((((X364)!=(X365))=>~(in @ X365 @ (setadjoin @ X364 @ emptyset))))=>(![X366:$i, X367:$i]:((((X366)=(X367))=>(in @ X366 @ (setadjoin @ X367 @ emptyset))))=>(![X520:$i, X521:$i]:(((in @ X520 @ (setadjoin @ X521 @ emptyset))=>(in @ X521 @ (setadjoin @ X520 @ emptyset))))=>(![X517:$i, X518:$i, X519:$i]:(((in @ X519 @ (setadjoin @ X517 @ (setadjoin @ X518 @ emptyset)))=>(((X519)=(X517))|((X519)=(X518)))))=>(![X368:$i, X369:$i]:((in @ X368 @ (setadjoin @ X368 @ (setadjoin @ X369 @ emptyset))))=>(![X370:$i, X371:$i]:((in @ X371 @ (setadjoin @ X370 @ (setadjoin @ X371 @ emptyset))))=>(![X372:$i, X373:$i > $o]:((?[X374:$i]:(((in @ X374 @ X372)&(X373 @ X374)))=>((dsetconstr @ X372 @ (^[Z0:$i]:((X373 @ Z0))))!=(emptyset))))=>(![X375:$i > $o, X376:$i]:(((in @ X376 @ emptyset)=>(X375 @ X376)))=>(![X513:$i, X514:$i > $o]:((~(![X515:$i]:(((in @ X515 @ X513)=>(X514 @ X515))))=>?[X516:$i]:(((in @ X516 @ X513)&~(X514 @ X516)))))=>(![X377:$i, X378:$i > $o]:((![X379:$i]:(((in @ X379 @ X377)=>~(X378 @ X379)))=>~(?[X380:$i]:(((in @ X380 @ X377)&(X378 @ X380))))))=>(![X509:$i, X510:$i > $o]:((~(?[X511:$i]:(((in @ X511 @ X509)&(X510 @ X511))))=>![X512:$i]:(((in @ X512 @ X509)=>~(X510 @ X512)))))=>(![X505:$i, X506:$i > $o]:((?[X507:$i]:(((in @ X507 @ X505)&~(X506 @ X507)))=>~(![X508:$i]:(((in @ X508 @ X505)=>(X506 @ X508))))))=>(![X504:$o]:(((X504)=>(in @ emptyset @ (prop2set @ ((X504))))))=>(![X381:$o]:(((X381)=>(set2prop @ (prop2set @ ((X381))))))=>(![X382:$i, X383:$i > $o]:((~(?[X384:$i]:(((in @ X384 @ X382)&(X383 @ X384))))=>![X385:$i]:(((in @ X385 @ X382)=>~(X383 @ X385)))))=>(![X386:$i, X387:$i > $o]:((~(![X388:$i]:(((in @ X388 @ X386)=>(X387 @ X388))))=>?[X389:$i]:(((in @ X389 @ X386)&~(X387 @ X389)))))=>(![X390:$i > $o]:((?[X391:$i]:(((X390 @ X391)&![X392:$i]:(((X390 @ X392)=>((X391)=(X392))))))=>?[X393:$i]:(((X390 @ X393)&![X394:$i]:(((X390 @ X394)=>((X393)=(X394))))))))=>(![X498:$i > $o]:((?[X499:$i]:((X498 @ X499))=>(![X500:$i, X501:$i]:(((X498 @ X500)=>((X498 @ X501)=>((X500)=(X501)))))=>?[X502:$i]:(((X498 @ X502)&![X503:$i]:(((X498 @ X503)=>((X502)=(X503)))))))))=>(![X395:$i > $o]:((?[X396:$i]:(![X397:$i]:(((X395 @ X397)<=>((X397)=(X396)))))=>?[X398:$i]:(((X395 @ X398)&![X399:$i]:(((X395 @ X399)=>((X398)=(X399))))))))=>(![X400:$i, X401:$i]:((((X400)=(X401))=>![X402:$i, X403:$i]:((((X402)=(X403))=>((in @ X402 @ X400)=>(in @ X403 @ X401))))))=>(![X494:$i, X495:$i]:((((X494)=(X495))=>![X496:$i, X497:$i]:((((X496)=(X497))=>((in @ X496 @ X494)<=>(in @ X497 @ X495))))))=>(![X489:$i > $o]:((?[X490:$i]:(((X489 @ X490)&![X491:$i]:(((X489 @ X491)=>((X490)=(X491))))))=>![X492:$i, X493:$i]:(((X489 @ X492)=>((X489 @ X493)=>((X492)=(X493)))))))=>(![X404:$i > $o, X405:$i > $o]:((![X406:$i, X407:$i]:((((X406)=(X407))=>((X404 @ X406)<=>(X405 @ X407))))=>(?[X408:$i]:(((X404 @ X408)&![X409:$i]:(((X404 @ X409)=>((X408)=(X409))))))<=>?[X410:$i]:(((X405 @ X410)&![X411:$i]:(((X405 @ X411)=>((X410)=(X411)))))))))=>(((emptyset)=(emptyset))=>(![X485:$i, X486:$i]:((((X485)=(X486))=>![X487:$i, X488:$i]:((((X487)=(X488))=>((setadjoin @ X485 @ X487)=(setadjoin @ X486 @ X488))))))=>(![X483:$i, X484:$i]:((((X483)=(X484))=>((powerset @ X483)=(powerset @ X484))))=>(![X481:$i, X482:$i]:((((X481)=(X482))=>((setunion @ X481)=(setunion @ X482))))=>(((omega)=(omega))=>(![X476:$i > $o]:((?[X477:$i]:(((X476 @ X477)&![X478:$i]:(((X476 @ X478)=>((X477)=(X478))))))=>![X479:$i, X480:$i]:(((X476 @ X479)=>((X476 @ X480)=>((X479)=(X480)))))))=>(![X412:$i > $o, X413:$i > $o]:((![X414:$i, X415:$i]:((((X414)=(X415))=>((X412 @ X414)<=>(X413 @ X415))))=>(?[X416:$i]:(((X412 @ X416)&![X417:$i]:(((X412 @ X417)=>((X416)=(X417))))))=>(?[X418:$i]:(((X413 @ X418)&![X419:$i]:(((X413 @ X419)=>((X418)=(X419))))))=>((descr @ (^[Z0:$i]:((X412 @ Z0))))=(descr @ (^[Z0:$i]:((X413 @ Z0)))))))))=>(![X420:$i, X421:$i]:((((X420)=(X421))=>![X422:$i > $o, X423:$i > $o]:((![X424:$i]:(((in @ X424 @ X420)=>![X425:$i]:(((in @ X425 @ X421)=>(((X424)=(X425))=>((X422 @ X424)<=>(X423 @ X425)))))))=>((dsetconstr @ X420 @ (^[Z0:$i]:((X422 @ Z0))))=(dsetconstr @ X421 @ (^[Z0:$i]:((X423 @ Z0)))))))))=>(![X473:$i, X474:$i]:((![X475:$i]:(((in @ X475 @ X473)=>(in @ X475 @ X474)))=>(subset @ X473 @ X474)))=>(![X426:$i, X427:$i]:((((X426)=(X427))=>(subset @ X427 @ X426)))=>(![X428:$i, X429:$i]:((((X428)=(X429))=>(subset @ X428 @ X429)))=>(![X470:$i, X471:$i]:((![X472:$i]:(((in @ X472 @ X470)=>(in @ X472 @ X471)))=>(subset @ X470 @ X471)))=>(![X430:$i]:((subset @ emptyset @ X430))=>(![X467:$i, X468:$i, X469:$i]:(((subset @ X467 @ X468)=>((in @ X469 @ X467)=>(in @ X469 @ X468))))=>(![X464:$i, X465:$i, X466:$i]:(((subset @ X464 @ X465)=>(~(in @ X466 @ X465)=>~(in @ X466 @ X464))))=>(![X461:$i, X462:$i, X463:$i]:(((in @ X463 @ X461)=>(~(in @ X463 @ X462)=>~(subset @ X461 @ X462))))=>(![X459:$i, X460:$i]:((~(subset @ X459 @ X460)=>((X459)!=(X460))))=>(![X456:$i, X457:$i, X458:$i]:(((in @ X458 @ X456)=>(~(in @ X458 @ X457)=>((X456)!=(X457)))))=>(![X455:$i]:((subset @ X455 @ X455))=>(![X452:$i, X453:$i, X454:$i]:(((subset @ X452 @ X453)=>((subset @ X453 @ X454)=>(subset @ X452 @ X454))))=>(![X431:$i, X432:$i]:((subset @ X432 @ (setadjoin @ X431 @ X432)))=>(![X433:$i, X434:$i, X435:$i]:(((subset @ X433 @ X435)=>(subset @ X433 @ (setadjoin @ X434 @ X435))))=>(![X450:$i, X451:$i]:(((subset @ X450 @ X451)=>(in @ X450 @ (powerset @ X451))))=>(![X436:$i, X437:$i]:(((subset @ X436 @ X437)=>((subset @ X437 @ X436)=>((X436)=(X437)))))=>(![X438:$i]:(((subset @ X438 @ emptyset)=>((X438)=(emptyset))))=>(![X448:$i, X449:$i]:(((subset @ X449 @ X448)=>(in @ X449 @ (powerset @ X448))))=>(![X446:$i, X447:$i]:(((in @ X447 @ (powerset @ X446))=>(subset @ X447 @ X446)))=>(![X439:$i]:((in @ X439 @ (powerset @ X439)))=>(![X444:$i, X445:$i]:(((subset @ X444 @ X445)=>(subset @ (powerset @ X444) @ (powerset @ X445))))=>(![X440:$i, X441:$i > $o]:((in @ (dsetconstr @ X440 @ (^[Z0:$i]:((X441 @ Z0)))) @ (powerset @ X440)))=>(![X442:$i, X443:$i > $o]:((subset @ (dsetconstr @ X442 @ (^[Z0:$i]:((X443 @ Z0)))) @ X442))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[binunionIL]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_117]), foundationAx]), wellorderingAx]), c_0_118]), c_0_119]), c_0_120]), c_0_121]), c_0_122]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_123]), setext]), emptyI]), noeltsimpempty]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_128]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_129]), c_0_130]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_131]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_132]), c_0_133]), c_0_134]), inCongP]), in__Cong]), c_0_135]), c_0_136]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_137]), c_0_138]), c_0_139]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_140]), c_0_141])]), c_0_142])).
0.21/0.56	thf(c_0_144, negated_conjecture, ![X606:$i, X607:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X619:$i, X620:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X628:$i, X629:$i > $i > $o, X630:$i, X632:$i, X635:$i, X637:$i, X638:$i, X639:$i, X640:$i, X642:$i, X643:$i > $o, X644:$i, X646:$i, X647:$i > $o, X648:$i, X649:$i, X650:$i > $o, X651:$i, X652:$i, X653:$i > $o, X654:$i, X655:$i > $o, X656:$i, X659:$i, X660:$o, X661:$i, X662:$i, X663:$o, X664:$i, X665:$i, X666:$i > $o, X667:$i, X670:$i, X671:$i, X674:$i, X676:$i, X678:$i, X679:$i > $o, X680:$i, X681:$i, X683:$i, X684:$i > $o, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$o, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$o, X716:$i, X717:$i, X718:$i > $o, X719:$i, X722:$i, X723:$i, X724:$i, X726:$i, X727:$i, X728:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i > $o, X743:$i, X744:$i > $o, X745:$i, X746:$i, X747:$i > $o, X748:$i, X750:$i, X751:$i > $o, X753:$i, X754:$i, X755:$i > $o, X757:$i, X758:$i, X759:$i > $o, X760:$i, X762:$o, X763:$o, X764:$i, X765:$i > $o, X767:$i, X768:$i, X769:$i > $o, X770:$i, X772:$i > $o, X773:$i, X776:$i, X777:$i > $o, X778:$i, X782:$i, X783:$i > $o, X784:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i > $o, X797:$i, X799:$i, X800:$i, X801:$i > $o, X802:$i > $o, X805:$i, X808:$i, X809:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i > $o, X822:$i, X824:$i, X825:$i, X826:$i > $o, X827:$i > $o, X830:$i, X832:$i, X834:$i, X835:$i, X836:$i > $o, X837:$i > $o, X840:$i, X841:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i > $o, X888:$i, X889:$i > $o]:((((~(in @ (esk1_2 @ X606 @ X607) @ X606)|~(in @ (esk1_2 @ X606 @ X607) @ X607)|((X606)=(X607)))&((in @ (esk1_2 @ X606 @ X607) @ X606)|(in @ (esk1_2 @ X606 @ X607) @ X607)|((X606)=(X607))))&(~(in @ X609 @ emptyset)&(((~(in @ X612 @ (setadjoin @ X610 @ X611))|(((X612)=(X610))|(in @ X612 @ X611)))&((((X612)!=(X610))|(in @ X612 @ (setadjoin @ X610 @ X611)))&(~(in @ X612 @ X611)|(in @ X612 @ (setadjoin @ X610 @ X611)))))&(((~(in @ X614 @ (powerset @ X613))|(~(in @ X615 @ X614)|(in @ X615 @ X613)))&(((in @ (esk2_2 @ X616 @ X617) @ X617)|(in @ X617 @ (powerset @ X616)))&(~(in @ (esk2_2 @ X616 @ X617) @ X616)|(in @ X617 @ (powerset @ X616)))))&(((((in @ X620 @ (esk3_2 @ X619 @ X620))|~(in @ X620 @ (setunion @ X619)))&((in @ (esk3_2 @ X619 @ X620) @ X619)|~(in @ X620 @ (setunion @ X619))))&(~(in @ X623 @ X624)|~(in @ X624 @ X622)|(in @ X623 @ (setunion @ X622))))&((in @ emptyset @ omega)&((~(in @ X625 @ omega)|(in @ (setadjoin @ X625 @ X625) @ omega))&(((((in @ (esk4_1 @ X626) @ omega)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626)))&((in @ (esk4_1 @ X626) @ X626)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626))))&(~(in @ (setadjoin @ (esk4_1 @ X626) @ (esk4_1 @ X626)) @ X626)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626))))&((((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630))&((X629 @ (esk8_3 @ X629 @ X630 @ X635) @ X635)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630)))&(~(in @ X638 @ X630)|~(X629 @ X638 @ X637)|(in @ X637 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630)))&(((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632)))&((X629 @ (esk8_3 @ X629 @ X630 @ X635) @ X635)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))&(~(in @ X638 @ X630)|~(X629 @ X638 @ X637)|(in @ X637 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))&((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(((X632)!=(esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632)))&((X629 @ (esk8_3 @ X629 @ X630 @ X635) @ X635)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(((X632)!=(esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))&(~(in @ X638 @ X630)|~(X629 @ X638 @ X637)|(in @ X637 @ (esk7_2 @ X629 @ X630))|(((X632)!=(esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))))&((((in @ (esk9_1 @ X639) @ X639)|~(in @ X640 @ X639))&(~(in @ X642 @ (esk9_1 @ X639))|~(in @ X642 @ X639)|~(in @ X640 @ X639)))&((epred1_0)&((((X643 @ (esk10_2 @ X643 @ X644))|~(X643 @ X644)|(X643 @ (descr @ (^[Z0:$i]:((X643 @ Z0))))))&(((X644)!=(esk10_2 @ X643 @ X644))|~(X643 @ X644)|(X643 @ (descr @ (^[Z0:$i]:((X643 @ Z0)))))))&((~(in @ X648 @ X646)|(~(X647 @ X648)|(in @ X648 @ (dsetconstr @ X646 @ (^[Z0:$i]:((X647 @ Z0)))))))&((~(in @ X651 @ (dsetconstr @ X649 @ (^[Z0:$i]:((X650 @ Z0)))))|(in @ X651 @ X649))&((~(in @ X654 @ (dsetconstr @ X652 @ (^[Z0:$i]:((X653 @ Z0)))))|(X653 @ X654))&(((((X655 @ (esk12_1 @ X655))|((X655 @ (esk11_2 @ X655 @ X656))|~(X655 @ X656)))&(~(X655 @ X659)|((esk12_1 @ X655)=(X659))|((X655 @ (esk11_2 @ X655 @ X656))|~(X655 @ X656))))&(((X655 @ (esk12_1 @ X655))|(((X656)!=(esk11_2 @ X655 @ X656))|~(X655 @ X656)))&(~(X655 @ X659)|((esk12_1 @ X655)=(X659))|(((X656)!=(esk11_2 @ X655 @ X656))|~(X655 @ X656)))))&((~(in @ X661 @ (prop2set @ ((X660))))|(X660))&((~(in @ X662 @ emptyset)|(X663))&(~(in @ X664 @ emptyset)&(~(in @ X665 @ emptyset)&((((X666 @ (esk13_2 @ X666 @ X667))|~(X666 @ X667)|(X666 @ (esk14_1 @ X666)))&(((X667)!=(esk13_2 @ X666 @ X667))|~(X666 @ X667)|(X666 @ (esk14_1 @ X666))))&(((((in @ (esk16_2 @ X670 @ X671) @ X671)|((X670)=(X671))|(in @ (esk15_2 @ X670 @ X671) @ X670))&(~(in @ (esk16_2 @ X670 @ X671) @ X670)|((X670)=(X671))|(in @ (esk15_2 @ X670 @ X671) @ X670)))&(((in @ (esk16_2 @ X670 @ X671) @ X671)|((X670)=(X671))|~(in @ (esk15_2 @ X670 @ X671) @ X671))&(~(in @ (esk16_2 @ X670 @ X671) @ X670)|((X670)=(X671))|~(in @ (esk15_2 @ X670 @ X671) @ X671))))&(((in @ (esk17_1 @ X674) @ X674)|((X674)=(emptyset)))&(((in @ (esk18_1 @ X676) @ X676)|((X676)=(emptyset)))&(((~(in @ X680 @ (dsetconstr @ X678 @ (^[Z0:$i]:((X679 @ Z0)))))|(X679 @ X680)|~(in @ X680 @ X678))&(~(X679 @ X680)|(in @ X680 @ (dsetconstr @ X678 @ (^[Z0:$i]:((X679 @ Z0)))))|~(in @ X680 @ X678)))&((((X681)=(emptyset))|(in @ (esk19_1 @ X681) @ X681))&((~(in @ X685 @ X683)|(~(X684 @ X685)|((dsetconstr @ X683 @ (^[Z0:$i]:((X684 @ Z0))))!=(emptyset))))&((~(in @ X687 @ X686)|((X686)!=(emptyset)))&((in @ X688 @ (setadjoin @ X688 @ X689))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X692 @ X691)|(in @ X692 @ (setadjoin @ X690 @ X691)))&(((((in @ X695 @ X694)|(X696)|((X695)=(X693))|~(in @ X695 @ (setadjoin @ X693 @ X694)))&(~(X696)|(X696)|((X695)=(X693))|~(in @ X695 @ (setadjoin @ X693 @ X694))))&(((in @ X695 @ X694)|(X696)|~(X696)|~(in @ X695 @ (setadjoin @ X693 @ X694)))&(~(X696)|(X696)|~(X696)|~(in @ X695 @ (setadjoin @ X693 @ X694)))))&((~(in @ X699 @ (setadjoin @ X697 @ X698))|(((X699)=(X697))|(in @ X699 @ X698)))&(((dsetconstr @ X700 @ (^[Z0:$i]:(($true))))=(X700))&((((in @ (esk20_2 @ X701 @ X702) @ X702)|(in @ X702 @ (powerset @ X701)))&(~(in @ (esk20_2 @ X701 @ X702) @ X701)|(in @ X702 @ (powerset @ X701))))&((in @ emptyset @ (powerset @ X704))&((in @ emptyset @ (powerset @ X705))&((~(in @ X707 @ (powerset @ X706))|(~(in @ X708 @ X707)|(in @ X708 @ X706)))&((~(in @ X710 @ X711)|(~(in @ X711 @ X709)|(in @ X710 @ (setunion @ X709))))&((((in @ X713 @ (esk21_3 @ X712 @ X713 @ X714))|(X714)|~(in @ X713 @ (setunion @ X712)))&(((in @ (esk21_3 @ X712 @ X713 @ X714) @ X712)|(X714)|~(in @ X713 @ (setunion @ X712)))&(~(X714)|(X714)|~(in @ X713 @ (setunion @ X712)))))&((~(in @ X717 @ X716)|(in @ X717 @ (powerset @ (setunion @ X716))))&((((~(X718 @ X722)|((X722)=(esk23_1 @ X718))|((X718 @ (esk22_2 @ X718 @ X719))|~(X718 @ X719)))&(((X723)!=(esk23_1 @ X718))|(X718 @ X723)|((X718 @ (esk22_2 @ X718 @ X719))|~(X718 @ X719))))&((~(X718 @ X722)|((X722)=(esk23_1 @ X718))|(((X719)!=(esk22_2 @ X718 @ X719))|~(X718 @ X719)))&(((X723)!=(esk23_1 @ X718))|(X718 @ X723)|(((X719)!=(esk22_2 @ X718 @ X719))|~(X718 @ X719)))))&((((X724)=(emptyset))|(in @ (esk24_1 @ X724) @ X724))&((~(in @ X726 @ (setadjoin @ X727 @ emptyset))|((X726)=(X727)))&((((X728)=(X729))|~(in @ X729 @ (setadjoin @ X728 @ emptyset)))&((((X730)!=(X731))|(in @ X730 @ (setadjoin @ X731 @ emptyset)))&((~(in @ X732 @ (setadjoin @ X733 @ emptyset))|(in @ X733 @ (setadjoin @ X732 @ emptyset)))&((~(in @ X736 @ (setadjoin @ X734 @ (setadjoin @ X735 @ emptyset)))|(((X736)=(X734))|((X736)=(X735))))&((in @ X737 @ (setadjoin @ X737 @ (setadjoin @ X738 @ emptyset)))&((in @ X740 @ (setadjoin @ X739 @ (setadjoin @ X740 @ emptyset)))&((~(in @ X743 @ X741)|~(X742 @ X743)|((dsetconstr @ X741 @ (^[Z0:$i]:((X742 @ Z0))))!=(emptyset)))&((~(in @ X745 @ emptyset)|(X744 @ X745))&((((in @ (esk25_2 @ X746 @ X747) @ X746)|(~(in @ X748 @ X746)|(X747 @ X748)))&(~(X747 @ (esk25_2 @ X746 @ X747))|(~(in @ X748 @ X746)|(X747 @ X748))))&((((in @ (esk26_2 @ X750 @ X751) @ X750)|(~(in @ X753 @ X750)|~(X751 @ X753)))&((X751 @ (esk26_2 @ X750 @ X751))|(~(in @ X753 @ X750)|~(X751 @ X753))))&((((in @ (esk27_2 @ X754 @ X755) @ X754)|(~(in @ X757 @ X754)|~(X755 @ X757)))&((X755 @ (esk27_2 @ X754 @ X755))|(~(in @ X757 @ X754)|~(X755 @ X757))))&((((in @ (esk28_2 @ X758 @ X759) @ X758)|(~(in @ X760 @ X758)|(X759 @ X760)))&(~(X759 @ (esk28_2 @ X758 @ X759))|(~(in @ X760 @ X758)|(X759 @ X760))))&((~(X762)|(in @ emptyset @ (prop2set @ ((X762)))))&((~(X763)|(set2prop @ (prop2set @ ((X763)))))&((((in @ (esk29_2 @ X764 @ X765) @ X764)|(~(in @ X767 @ X764)|~(X765 @ X767)))&((X765 @ (esk29_2 @ X764 @ X765))|(~(in @ X767 @ X764)|~(X765 @ X767))))&((((in @ (esk30_2 @ X768 @ X769) @ X768)|(~(in @ X770 @ X768)|(X769 @ X770)))&(~(X769 @ (esk30_2 @ X768 @ X769))|(~(in @ X770 @ X768)|(X769 @ X770))))&(((((X772 @ (esk32_1 @ X772))|((X772 @ (esk31_2 @ X772 @ X773))|~(X772 @ X773)))&(~(X772 @ X776)|((esk32_1 @ X772)=(X776))|((X772 @ (esk31_2 @ X772 @ X773))|~(X772 @ X773))))&(((X772 @ (esk32_1 @ X772))|(((X773)!=(esk31_2 @ X772 @ X773))|~(X772 @ X773)))&(~(X772 @ X776)|((esk32_1 @ X772)=(X776))|(((X773)!=(esk31_2 @ X772 @ X773))|~(X772 @ X773)))))&(((((X777 @ (esk35_1 @ X777))|(X777 @ (esk33_1 @ X777))|~(X777 @ X778))&(~(X777 @ X782)|((esk35_1 @ X777)=(X782))|(X777 @ (esk33_1 @ X777))|~(X777 @ X778)))&((((X777 @ (esk35_1 @ X777))|(X777 @ (esk34_1 @ X777))|~(X777 @ X778))&(~(X777 @ X782)|((esk35_1 @ X777)=(X782))|(X777 @ (esk34_1 @ X777))|~(X777 @ X778)))&(((X777 @ (esk35_1 @ X777))|((esk33_1 @ X777)!=(esk34_1 @ X777))|~(X777 @ X778))&(~(X777 @ X782)|((esk35_1 @ X777)=(X782))|((esk33_1 @ X777)!=(esk34_1 @ X777))|~(X777 @ X778)))))&(((((X783 @ (esk37_1 @ X783))|(~(X783 @ (esk36_2 @ X783 @ X784))|((esk36_2 @ X783 @ X784)!=(X784))))&(~(X783 @ X787)|((esk37_1 @ X783)=(X787))|(~(X783 @ (esk36_2 @ X783 @ X784))|((esk36_2 @ X783 @ X784)!=(X784)))))&(((X783 @ (esk37_1 @ X783))|((X783 @ (esk36_2 @ X783 @ X784))|((esk36_2 @ X783 @ X784)=(X784))))&(~(X783 @ X787)|((esk37_1 @ X783)=(X787))|((X783 @ (esk36_2 @ X783 @ X784))|((esk36_2 @ X783 @ X784)=(X784))))))&((((X788)!=(X789))|(((X790)!=(X791))|(~(in @ X790 @ X788)|(in @ X791 @ X789))))&(((~(in @ X794 @ X792)|(in @ X795 @ X793)|((X794)!=(X795))|((X792)!=(X793)))&(~(in @ X795 @ X793)|(in @ X794 @ X792)|((X794)!=(X795))|((X792)!=(X793))))&((((X796 @ (esk38_2 @ X796 @ X797))|~(X796 @ X797)|(~(X796 @ X799)|(~(X796 @ X800)|((X799)=(X800)))))&(((X797)!=(esk38_2 @ X796 @ X797))|~(X796 @ X797)|(~(X796 @ X799)|(~(X796 @ X800)|((X799)=(X800))))))&(((((((X802 @ (esk42_2 @ X801 @ X802))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802)))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802))))&(((X802 @ (esk42_2 @ X801 @ X802))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802)))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802)))))&((((X801 @ (esk44_2 @ X801 @ X802))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802)))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802))))&(((X801 @ (esk44_2 @ X801 @ X802))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802)))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((esk39_2 @ X801 @ X802)=(esk40_2 @ X801 @ X802))))))&((((((X802 @ (esk42_2 @ X801 @ X802))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802)))))&(((X802 @ (esk42_2 @ X801 @ X802))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))))&((((X801 @ (esk44_2 @ X801 @ X802))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802)))))&(((X801 @ (esk44_2 @ X801 @ X802))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802)))))))&(((((X802 @ (esk42_2 @ X801 @ X802))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))&(((X802 @ (esk42_2 @ X801 @ X802))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))))&((((X801 @ (esk44_2 @ X801 @ X802))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))&(((X801 @ (esk44_2 @ X801 @ X802))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))))))&(((emptyset)=(emptyset))&((((X813)!=(X814))|(((X815)!=(X816))|((setadjoin @ X813 @ X815)=(setadjoin @ X814 @ X816))))&((((X817)!=(X818))|((powerset @ X817)=(powerset @ X818)))&((((X819)!=(X820))|((setunion @ X819)=(setunion @ X820)))&(((omega)=(omega))&((((X821 @ (esk45_2 @ X821 @ X822))|~(X821 @ X822)|(~(X821 @ X824)|(~(X821 @ X825)|((X824)=(X825)))))&(((X822)!=(esk45_2 @ X821 @ X822))|~(X821 @ X822)|(~(X821 @ X824)|(~(X821 @ X825)|((X824)=(X825))))))&((((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))))&(((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827)))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))))&((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827)))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0:$i]:((X826 @ Z0))))=(descr @ (^[Z0:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))))))&((((in @ (esk50_4 @ X834 @ X835 @ X836 @ X837) @ X834)|((dsetconstr @ X834 @ (^[Z0:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&(((in @ (esk51_4 @ X834 @ X835 @ X836 @ X837) @ X835)|((dsetconstr @ X834 @ (^[Z0:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((((esk50_4 @ X834 @ X835 @ X836 @ X837)=(esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((~(X836 @ (esk50_4 @ X834 @ X835 @ X836 @ X837))|~(X837 @ (esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((X836 @ (esk50_4 @ X834 @ X835 @ X836 @ X837))|(X837 @ (esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0:$i]:((X837 @ Z0)))))|((X834)!=(X835)))))))&((((in @ (esk52_2 @ X840 @ X841) @ X840)|(subset @ X840 @ X841))&(~(in @ (esk52_2 @ X840 @ X841) @ X841)|(subset @ X840 @ X841)))&((((X843)!=(X844))|(subset @ X844 @ X843))&((((X845)!=(X846))|(subset @ X845 @ X846))&((((in @ (esk53_2 @ X847 @ X848) @ X847)|(subset @ X847 @ X848))&(~(in @ (esk53_2 @ X847 @ X848) @ X848)|(subset @ X847 @ X848)))&((subset @ emptyset @ X850)&((~(subset @ X851 @ X852)|(~(in @ X853 @ X851)|(in @ X853 @ X852)))&((~(subset @ X854 @ X855)|((in @ X856 @ X855)|~(in @ X856 @ X854)))&((~(in @ X859 @ X857)|((in @ X859 @ X858)|~(subset @ X857 @ X858)))&(((subset @ X860 @ X861)|((X860)!=(X861)))&((~(in @ X864 @ X862)|((in @ X864 @ X863)|((X862)!=(X863))))&((subset @ X865 @ X865)&((~(subset @ X866 @ X867)|(~(subset @ X867 @ X868)|(subset @ X866 @ X868)))&((subset @ X870 @ (setadjoin @ X869 @ X870))&((~(subset @ X871 @ X873)|(subset @ X871 @ (setadjoin @ X872 @ X873)))&((~(subset @ X874 @ X875)|(in @ X874 @ (powerset @ X875)))&((~(subset @ X876 @ X877)|(~(subset @ X877 @ X876)|((X876)=(X877))))&((~(subset @ X878 @ emptyset)|((X878)=(emptyset)))&((~(subset @ X880 @ X879)|(in @ X880 @ (powerset @ X879)))&((~(in @ X882 @ (powerset @ X881))|(subset @ X882 @ X881))&((in @ X883 @ (powerset @ X883))&((~(subset @ X884 @ X885)|(subset @ (powerset @ X884) @ (powerset @ X885)))&((in @ (dsetconstr @ X886 @ (^[Z0:$i]:((X887 @ Z0)))) @ (powerset @ X886))&((subset @ (dsetconstr @ X888 @ (^[Z0:$i]:((X889 @ Z0)))) @ X888)&((in @ esk56_0 @ esk54_0)&~(in @ esk56_0 @ (binunion @ esk54_0 @ esk55_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])])])])])).
0.21/0.56	thf(c_0_145, plain, ![X602:$i, X603:$i]:(((binunion @ X602 @ X603)=(setunion @ (setadjoin @ X602 @ (setadjoin @ X603 @ emptyset))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[binunion])])).
0.21/0.56	thf(c_0_146, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_144])).
0.21/0.56	thf(c_0_147, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_144])).
0.21/0.56	thf(c_0_148, plain, ![X604:$i, X605:$i]:(((binunion @ X604 @ X605)=(setunion @ (setadjoin @ X604 @ (setadjoin @ X605 @ emptyset))))), inference(variable_rename,[status(thm)],[c_0_145])).
0.21/0.56	thf(c_0_149, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setunion @ (setadjoin @ X3 @ X4)))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_146, c_0_147])).
0.21/0.56	thf(c_0_150, plain, ![X2:$i, X3:$i]:(((binunion @ X2 @ X3)=(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_148])).
0.21/0.56	thf(c_0_151, negated_conjecture, ~((in @ esk56_0 @ (binunion @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_144])).
0.21/0.56	thf(c_0_152, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X3 @ X4))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_149, c_0_150])).
0.21/0.56	thf(c_0_153, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_144])).
0.21/0.56	thf(c_0_154, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153])]), ['proof']).
0.21/0.56	# SZS output end CNFRefutation
0.21/0.56	# Parsed axioms                        : 216
0.21/0.56	# Removed by relevancy pruning/SinE    : 0
0.21/0.56	# Initial clauses                      : 324
0.21/0.56	# Removed in clause preprocessing      : 127
0.21/0.56	# Initial clauses in saturation        : 197
0.21/0.56	# Processed clauses                    : 338
0.21/0.56	# ...of these trivial                  : 7
0.21/0.56	# ...subsumed                          : 49
0.21/0.56	# ...remaining for further processing  : 282
0.21/0.56	# Other redundant clauses eliminated   : 13
0.21/0.56	# Clauses deleted for lack of memory   : 0
0.21/0.56	# Backward-subsumed                    : 0
0.21/0.56	# Backward-rewritten                   : 5
0.21/0.56	# Generated clauses                    : 398
0.21/0.56	# ...of the previous two non-redundant : 313
0.21/0.56	# ...aggressively subsumed             : 0
0.21/0.56	# Contextual simplify-reflections      : 0
0.21/0.56	# Paramodulations                      : 377
0.21/0.56	# Factorizations                       : 2
0.21/0.56	# NegExts                              : 0
0.21/0.56	# Equation resolutions                 : 13
0.21/0.56	# Propositional unsat checks           : 0
0.21/0.56	#    Propositional check models        : 0
0.21/0.56	#    Propositional check unsatisfiable : 0
0.21/0.56	#    Propositional clauses             : 0
0.21/0.56	#    Propositional clauses after purity: 0
0.21/0.56	#    Propositional unsat core size     : 0
0.21/0.56	#    Propositional preprocessing time  : 0.000
0.21/0.56	#    Propositional encoding time       : 0.000
0.21/0.56	#    Propositional solver time         : 0.000
0.21/0.56	#    Success case prop preproc time    : 0.000
0.21/0.56	#    Success case prop encoding time   : 0.000
0.21/0.56	#    Success case prop solver time     : 0.000
0.21/0.56	# Current number of processed clauses  : 92
0.21/0.56	#    Positive orientable unit clauses  : 30
0.21/0.56	#    Positive unorientable unit clauses: 0
0.21/0.56	#    Negative unit clauses             : 3
0.21/0.56	#    Non-unit-clauses                  : 59
0.21/0.56	# Current number of unprocessed clauses: 331
0.21/0.56	# ...number of literals in the above   : 989
0.21/0.56	# Current number of archived formulas  : 0
0.21/0.56	# Current number of archived clauses   : 177
0.21/0.56	# Clause-clause subsumption calls (NU) : 5864
0.21/0.56	# Rec. Clause-clause subsumption calls : 1471
0.21/0.56	# Non-unit clause-clause subsumptions  : 35
0.21/0.56	# Unit Clause-clause subsumption calls : 59
0.21/0.56	# Rewrite failures with RHS unbound    : 0
0.21/0.56	# BW rewrite match attempts            : 10
0.21/0.56	# BW rewrite match successes           : 4
0.21/0.56	# Condensation attempts                : 0
0.21/0.56	# Condensation successes               : 0
0.21/0.56	# Termbank termtop insertions          : 45286
0.21/0.56	
0.21/0.56	# -------------------------------------------------
0.21/0.56	# User time                : 0.054 s
0.21/0.56	# System time              : 0.009 s
0.21/0.56	# Total time               : 0.063 s
0.21/0.56	# Maximum resident set size: 4324 pages
0.21/0.56	
0.21/0.56	# -------------------------------------------------
0.21/0.56	# User time                : 0.200 s
0.21/0.56	# System time              : 0.028 s
0.21/0.56	# Total time               : 0.228 s
0.21/0.56	# Maximum resident set size: 1944 pages
0.21/0.56	EOF