0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.08/0.36	% Computer : n027.cluster.edu
0.08/0.36	% Model    : x86_64 x86_64
0.08/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.36	% Memory   : 8046.5625MB
0.08/0.36	% OS       : Linux 6.8.0-71-generic
0.08/0.36	% CPULimit : 1440
0.08/0.36	% WCLimit  : 180
0.08/0.36	% DateTime : Mon Jul 27 10:36:07 UTC 2026
0.08/0.36	% CPUTime  : 
0.08/0.36	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.08/0.41	Running higher-order theorem proving
0.08/0.43	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p
0.45/180.03	Terminated
0.45/180.03	% Version: 3.5.1-ho
0.45/180.03	% Preprocessing class: HSMMSLSSLLLCHFA.
0.45/180.03	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.45/180.03	% Starting ehoh_best3_avoidappvar with 900s (5) cores
0.45/180.03	% Starting ehoh_best3_rw with 180s (1) cores
0.45/180.03	% Starting almost_fo_3 with 180s (1) cores
0.45/180.03	% Starting new_ho_13 with 180s (1) cores
0.45/180.03	% ehoh_best3_rw with pid 2913675 completed with status 0
0.45/180.03	% Result found by ehoh_best3_rw
0.45/180.03	% Preprocessing class: HSMMSLSSLLLCHFA.
0.45/180.03	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.45/180.03	% Starting ehoh_best3_avoidappvar with 900s (5) cores
0.45/180.03	% Starting ehoh_best3_rw with 180s (1) cores
0.45/180.03	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
0.45/180.03	% SinE strategy is gf120_gu_RUU_F100_L01000
0.45/180.03	% Search class: HGHSM-FSLM31-SHFMMSBN
0.45/180.03	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.45/180.03	% Starting SubtermCWHack with 17s (1) cores
0.45/180.03	% SubtermCWHack with pid 2913678 completed with status 0
0.45/180.03	% Result found by SubtermCWHack
0.45/180.03	% Preprocessing class: HSMMSLSSLLLCHFA.
0.45/180.03	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.45/180.03	% Starting ehoh_best3_avoidappvar with 900s (5) cores
0.45/180.03	% Starting ehoh_best3_rw with 180s (1) cores
0.45/180.03	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
0.45/180.03	% SinE strategy is gf120_gu_RUU_F100_L01000
0.45/180.03	% Search class: HGHSM-FSLM31-SHFMMSBN
0.45/180.03	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.45/180.03	% Starting SubtermCWHack with 17s (1) cores
0.45/180.03	% Preprocessing time       : 0.005 s
0.45/180.03	
0.45/180.03	% Proof found!
0.45/180.03	% SZS status Theorem
0.45/180.03	% SZS output start CNFRefutation
0.45/180.03	thf(decl_23, type, in: $i > $i > $o).
0.45/180.03	thf(decl_24, type, exu: ($i > $o) > $o).
0.45/180.03	thf(decl_25, type, setextAx: $o).
0.45/180.03	thf(decl_26, type, emptyset: $i).
0.45/180.03	thf(decl_27, type, emptysetAx: $o).
0.45/180.03	thf(decl_28, type, setadjoin: $i > $i > $i).
0.45/180.03	thf(decl_29, type, setadjoinAx: $o).
0.45/180.03	thf(decl_30, type, powerset: $i > $i).
0.45/180.03	thf(decl_31, type, powersetAx: $o).
0.45/180.03	thf(decl_32, type, setunion: $i > $i).
0.45/180.03	thf(decl_33, type, setunionAx: $o).
0.45/180.03	thf(decl_34, type, omega: $i).
0.45/180.03	thf(decl_35, type, omega0Ax: $o).
0.45/180.03	thf(decl_36, type, omegaSAx: $o).
0.45/180.03	thf(decl_37, type, omegaIndAx: $o).
0.45/180.03	thf(decl_38, type, replAx: $o).
0.45/180.03	thf(decl_39, type, foundationAx: $o).
0.45/180.03	thf(decl_40, type, wellorderingAx: $o).
0.45/180.03	thf(decl_41, type, descr: ($i > $o) > $i).
0.45/180.03	thf(decl_42, type, descrp: $o).
0.45/180.03	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.45/180.03	thf(decl_44, type, dsetconstrI: $o).
0.45/180.03	thf(decl_45, type, dsetconstrEL: $o).
0.45/180.03	thf(decl_46, type, dsetconstrER: $o).
0.45/180.03	thf(decl_47, type, exuE1: $o).
0.45/180.03	thf(decl_48, type, prop2set: $o > $i).
0.45/180.03	thf(decl_49, type, prop2setE: $o).
0.45/180.03	thf(decl_50, type, emptysetE: $o).
0.45/180.03	thf(decl_51, type, emptysetimpfalse: $o).
0.45/180.03	thf(decl_52, type, notinemptyset: $o).
0.45/180.03	thf(decl_53, type, exuE3e: $o).
0.45/180.03	thf(decl_54, type, setext: $o).
0.45/180.03	thf(decl_55, type, emptyI: $o).
0.45/180.03	thf(decl_56, type, noeltsimpempty: $o).
0.45/180.03	thf(decl_57, type, setbeta: $o).
0.45/180.03	thf(decl_58, type, nonempty: $i > $o).
0.45/180.03	thf(decl_59, type, nonemptyE1: $o).
0.45/180.03	thf(decl_60, type, nonemptyI: $o).
0.45/180.03	thf(decl_61, type, nonemptyI1: $o).
0.45/180.03	thf(decl_62, type, setadjoinIL: $o).
0.45/180.03	thf(decl_63, type, emptyinunitempty: $o).
0.45/180.04	thf(decl_64, type, setadjoinIR: $o).
0.45/180.04	thf(decl_65, type, setadjoinE: $o).
0.45/180.04	thf(decl_66, type, setadjoinOr: $o).
0.45/180.04	thf(decl_67, type, setoftrueEq: $o).
0.45/180.04	thf(decl_68, type, powersetI: $o).
0.45/180.04	thf(decl_69, type, emptyinPowerset: $o).
0.45/180.04	thf(decl_70, type, emptyInPowerset: $o).
0.45/180.04	thf(decl_71, type, powersetE: $o).
0.45/180.04	thf(decl_72, type, setunionI: $o).
0.45/180.04	thf(decl_73, type, setunionE: $o).
0.45/180.04	thf(decl_74, type, subPowSU: $o).
0.45/180.04	thf(decl_75, type, exuE2: $o).
0.45/180.04	thf(decl_76, type, nonemptyImpWitness: $o).
0.45/180.04	thf(decl_77, type, uniqinunit: $o).
0.45/180.04	thf(decl_78, type, notinsingleton: $o).
0.45/180.04	thf(decl_79, type, eqinunit: $o).
0.45/180.04	thf(decl_80, type, singletonsswitch: $o).
0.45/180.04	thf(decl_81, type, upairsetE: $o).
0.45/180.04	thf(decl_82, type, upairsetIL: $o).
0.45/180.04	thf(decl_83, type, upairsetIR: $o).
0.45/180.04	thf(decl_84, type, emptyE1: $o).
0.45/180.04	thf(decl_85, type, vacuousDall: $o).
0.45/180.04	thf(decl_86, type, quantDeMorgan1: $o).
0.45/180.04	thf(decl_87, type, quantDeMorgan2: $o).
0.45/180.04	thf(decl_88, type, quantDeMorgan3: $o).
0.45/180.04	thf(decl_89, type, quantDeMorgan4: $o).
0.45/180.04	thf(decl_90, type, prop2setI: $o).
0.45/180.04	thf(decl_92, type, prop2set2propI: $o).
0.45/180.04	thf(decl_93, type, notdexE: $o).
0.45/180.04	thf(decl_94, type, notdallE: $o).
0.45/180.04	thf(decl_95, type, exuI1: $o).
0.45/180.04	thf(decl_96, type, exuI3: $o).
0.45/180.04	thf(decl_97, type, exuI2: $o).
0.45/180.04	thf(decl_98, type, inCongP: $o).
0.45/180.04	thf(decl_99, type, in__Cong: $o).
0.45/180.04	thf(decl_100, type, exuE3u: $o).
0.45/180.04	thf(decl_101, type, exu__Cong: $o).
0.45/180.04	thf(decl_102, type, emptyset__Cong: $o).
0.45/180.04	thf(decl_103, type, setadjoin__Cong: $o).
0.45/180.04	thf(decl_104, type, powerset__Cong: $o).
0.45/180.04	thf(decl_105, type, setunion__Cong: $o).
0.45/180.04	thf(decl_106, type, omega__Cong: $o).
0.45/180.04	thf(decl_107, type, exuEu: $o).
0.45/180.04	thf(decl_108, type, descr__Cong: $o).
0.45/180.04	thf(decl_109, type, dsetconstr__Cong: $o).
0.45/180.04	thf(decl_110, type, subset: $i > $i > $o).
0.45/180.04	thf(decl_113, type, subsetI1: $o).
0.45/180.04	thf(decl_114, type, eqimpsubset2: $o).
0.45/180.04	thf(decl_115, type, eqimpsubset1: $o).
0.45/180.04	thf(decl_116, type, subsetI2: $o).
0.45/180.04	thf(decl_117, type, emptysetsubset: $o).
0.45/180.04	thf(decl_118, type, subsetE: $o).
0.45/180.04	thf(decl_119, type, subsetE2: $o).
0.45/180.04	thf(decl_120, type, notsubsetI: $o).
0.45/180.04	thf(decl_121, type, notequalI1: $o).
0.45/180.04	thf(decl_122, type, notequalI2: $o).
0.45/180.04	thf(decl_123, type, subsetRefl: $o).
0.45/180.04	thf(decl_124, type, subsetTrans: $o).
0.45/180.04	thf(decl_125, type, setadjoinSub: $o).
0.45/180.04	thf(decl_126, type, setadjoinSub2: $o).
0.45/180.04	thf(decl_127, type, subset2powerset: $o).
0.45/180.04	thf(decl_128, type, setextsub: $o).
0.45/180.04	thf(decl_129, type, subsetemptysetimpeq: $o).
0.45/180.04	thf(decl_130, type, powersetI1: $o).
0.45/180.04	thf(decl_131, type, epred1_0: $o).
0.45/180.04	thf(decl_132, type, esk1_2: $i > $i > $i).
0.45/180.04	thf(decl_133, type, esk2_2: $i > $i > $i).
0.45/180.04	thf(decl_134, type, esk3_2: $i > $i > $i).
0.45/180.04	thf(decl_135, type, esk4_1: $i > $i).
0.45/180.04	thf(decl_136, type, esk5_2: ($i > $i > $o) > $i > $i).
0.45/180.04	thf(decl_137, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.45/180.04	thf(decl_138, type, esk7_2: ($i > $i > $o) > $i > $i).
0.45/180.04	thf(decl_139, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.45/180.04	thf(decl_140, type, esk9_1: $i > $i).
0.45/180.04	thf(decl_141, type, esk10_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_142, type, esk11_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_143, type, esk12_1: ($i > $o) > $i).
0.45/180.04	thf(decl_144, type, esk13_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_145, type, esk14_1: ($i > $o) > $i).
0.45/180.04	thf(decl_146, type, esk15_2: $i > $i > $i).
0.45/180.04	thf(decl_147, type, esk16_2: $i > $i > $i).
0.45/180.04	thf(decl_148, type, esk17_1: $i > $i).
0.45/180.04	thf(decl_149, type, esk18_1: $i > $i).
0.45/180.04	thf(decl_150, type, esk19_1: $i > $i).
0.45/180.04	thf(decl_151, type, esk20_2: $i > $i > $i).
0.45/180.04	thf(decl_152, type, esk21_3: $i > $i > $o > $i).
0.45/180.04	thf(decl_153, type, esk22_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_154, type, esk23_1: ($i > $o) > $i).
0.45/180.04	thf(decl_155, type, esk24_1: $i > $i).
0.45/180.04	thf(decl_156, type, esk25_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_157, type, esk26_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_158, type, esk27_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_159, type, esk28_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_160, type, esk29_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_161, type, esk30_2: $i > ($i > $o) > $i).
0.45/180.04	thf(decl_162, type, esk31_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_163, type, esk32_1: ($i > $o) > $i).
0.45/180.04	thf(decl_164, type, esk33_1: ($i > $o) > $i).
0.45/180.04	thf(decl_165, type, esk34_1: ($i > $o) > $i).
0.45/180.04	thf(decl_166, type, esk35_1: ($i > $o) > $i).
0.45/180.04	thf(decl_167, type, esk36_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_168, type, esk37_1: ($i > $o) > $i).
0.45/180.04	thf(decl_169, type, esk38_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_170, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_171, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_172, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.45/180.04	thf(decl_173, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_174, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.45/180.04	thf(decl_175, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_176, type, esk45_2: ($i > $o) > $i > $i).
0.45/180.04	thf(decl_177, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_178, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_179, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.45/180.04	thf(decl_180, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.45/180.04	thf(decl_181, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_182, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.45/180.04	thf(decl_183, type, esk52_2: $i > $i > $i).
0.45/180.04	thf(decl_184, type, esk53_2: $i > $i > $i).
0.45/180.04	thf(decl_185, type, esk54_0: $i).
0.45/180.04	thf(decl_186, type, esk55_0: $i).
0.45/180.04	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuE3e)).
0.45/180.04	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exu)).
0.45/180.04	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', nonempty)).
0.45/180.04	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuE1)).
0.45/180.04	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuI3)).
0.45/180.04	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', descr__Cong)).
0.45/180.04	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuE3u)).
0.45/180.04	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exu__Cong)).
0.45/180.04	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuEu)).
0.45/180.04	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuI1)).
0.45/180.04	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuI2)).
0.45/180.04	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', exuE2)).
0.45/180.04	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', nonemptyI)).
0.45/180.04	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', descrp)).
0.45/180.04	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', replAx)).
0.45/180.04	thf(powersetE1, conjecture, ((((setadjoinAx)=>((((omega0Ax)=>((((replAx)=>((((descrp)=>(((dsetconstrEL)=>((((((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>(((powersetI)=>(((emptyInPowerset)=>(((setunionI)=>(((subPowSU)=>((((uniqinunit)=>(((eqinunit)=>(((upairsetE)=>((upairsetIL)=>(((((((quantDeMorgan3)=>((quantDeMorgan4)=>(((prop2set2propI)=>((notdexE)=>((notdallE)=>(((exuI3)=>((((((((((setunion__Cong)=>(((((((eqimpsubset2)=>(((subsetI2)=>(((subsetE)=>((subsetE2)=>((((notequalI2)=>(((subsetTrans)=>((((subset2powerset)=>(((subsetemptysetimpeq)=>(![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))<=(powersetI1)))<=(setextsub)))<=(setadjoinSub2))<=(setadjoinSub)))<=(subsetRefl)))<=(notequalI1))<=(notsubsetI))))<=(emptysetsubset)))<=(eqimpsubset1)))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1)))))<=(prop2setI))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))))<=(singletonsswitch)))<=(notinsingleton)))<=(nonemptyImpWitness))<=(exuE2)))<=(setunionE)))<=(powersetE)))<=(emptyinPowerset)))<=(setoftrueEq))))<=(setadjoinIR))))<=(nonemptyI1))))<=(setbeta)))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))<=(prop2setE))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI)))<=(wellorderingAx))<=(foundationAx)))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powersetE1)).
0.45/180.04	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setoftrueEq)).
0.45/180.04	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', nonemptyI1)).
0.45/180.04	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', dsetconstrER)).
0.45/180.04	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', dsetconstrI)).
0.45/180.04	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', dsetconstr__Cong)).
0.45/180.04	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyE1)).
0.45/180.04	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', nonemptyImpWitness)).
0.45/180.04	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setbeta)).
0.45/180.04	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', nonemptyE1)).
0.45/180.04	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', dsetconstrEL)).
0.45/180.04	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinIR)).
0.45/180.04	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notinemptyset)).
0.45/180.04	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptysetE)).
0.45/180.04	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', prop2setE)).
0.45/180.04	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', quantDeMorgan3)).
0.45/180.04	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', upairsetIL)).
0.45/180.04	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', wellorderingAx)).
0.45/180.04	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', upairsetE)).
0.45/180.04	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', foundationAx)).
0.45/180.04	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', eqinunit)).
0.45/180.04	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', omegaIndAx)).
0.45/180.04	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', uniqinunit)).
0.45/180.04	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', omegaSAx)).
0.45/180.04	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subPowSU)).
0.45/180.04	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setunionAx)).
0.45/180.04	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setunionI)).
0.45/180.04	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powersetAx)).
0.45/180.04	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', quantDeMorgan4)).
0.45/180.04	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptysetAx)).
0.45/180.04	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setextAx)).
0.45/180.04	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetE)).
0.45/180.04	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetI2)).
0.45/180.04	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', eqimpsubset2)).
0.45/180.04	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setunion__Cong)).
0.45/180.04	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notdallE)).
0.45/180.04	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notdexE)).
0.45/180.04	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetE2)).
0.45/180.04	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinSub2)).
0.45/180.04	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setextsub)).
0.45/180.04	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powersetI1)).
0.45/180.04	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetemptysetimpeq)).
0.45/180.04	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subset2powerset)).
0.45/180.04	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetTrans)).
0.45/180.04	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notequalI2)).
0.45/180.04	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinSub)).
0.45/180.04	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetI1)).
0.45/180.04	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', eqimpsubset1)).
0.45/180.04	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptysetsubset)).
0.45/180.04	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notsubsetI)).
0.45/180.04	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notequalI1)).
0.45/180.04	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', subsetRefl)).
0.45/180.04	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyset__Cong)).
0.45/180.04	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoin__Cong)).
0.45/180.04	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powerset__Cong)).
0.45/180.04	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', omega__Cong)).
0.45/180.04	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', in__Cong)).
0.45/180.04	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', vacuousDall)).
0.45/180.04	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', quantDeMorgan1)).
0.45/180.04	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', quantDeMorgan2)).
0.45/180.04	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', prop2setI)).
0.45/180.04	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', inCongP)).
0.45/180.04	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powersetE)).
0.45/180.04	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setunionE)).
0.45/180.04	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', notinsingleton)).
0.45/180.04	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', singletonsswitch)).
0.45/180.04	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', upairsetIR)).
0.45/180.04	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyinPowerset)).
0.45/180.04	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyI)).
0.45/180.04	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyInPowerset)).
0.45/180.04	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', powersetI)).
0.45/180.04	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinOr)).
0.45/180.04	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinE)).
0.45/180.04	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptyinunitempty)).
0.45/180.04	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinIL)).
0.45/180.04	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', noeltsimpempty)).
0.45/180.04	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setext)).
0.45/180.04	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', emptysetimpfalse)).
0.45/180.04	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', omega0Ax)).
0.45/180.04	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DffbZOLWpy/E---3.1_2913661.p', setadjoinAx)).
0.45/180.04	thf(c_0_95, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.45/180.04	thf(c_0_96, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.45/180.04	thf(c_0_97, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.45/180.04	thf(c_0_98, 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])).
0.45/180.04	thf(c_0_99, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.45/180.04	thf(c_0_100, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.45/180.04	thf(c_0_101, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.45/180.04	thf(c_0_102, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.45/180.04	thf(c_0_103, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.45/180.04	thf(c_0_104, 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])).
0.45/180.04	thf(c_0_105, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.45/180.04	thf(c_0_106, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.45/180.04	thf(c_0_107, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.45/180.04	thf(c_0_108, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.45/180.04	thf(c_0_109, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.45/180.04	thf(c_0_110, negated_conjecture, ~(((((setadjoinAx)=>((((omega0Ax)=>((((replAx)=>((((descrp)=>(((dsetconstrEL)=>((((((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>(((powersetI)=>(((emptyInPowerset)=>(((setunionI)=>(((subPowSU)=>((((uniqinunit)=>(((eqinunit)=>(((upairsetE)=>((upairsetIL)=>(((((((quantDeMorgan3)=>((quantDeMorgan4)=>(((prop2set2propI)=>((notdexE)=>((notdallE)=>(((exuI3)=>((((((((((setunion__Cong)=>(((((((eqimpsubset2)=>(((subsetI2)=>(((subsetE)=>((subsetE2)=>((((notequalI2)=>(((subsetTrans)=>((((subset2powerset)=>(((subsetemptysetimpeq)=>(![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))<=(powersetI1)))<=(setextsub)))<=(setadjoinSub2))<=(setadjoinSub)))<=(subsetRefl)))<=(notequalI1))<=(notsubsetI))))<=(emptysetsubset)))<=(eqimpsubset1)))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1)))))<=(prop2setI))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))))<=(singletonsswitch)))<=(notinsingleton)))<=(nonemptyImpWitness))<=(exuE2)))<=(setunionE)))<=(powersetE)))<=(emptyinPowerset)))<=(setoftrueEq))))<=(setadjoinIR))))<=(nonemptyI1))))<=(setbeta)))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))<=(prop2setE))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI)))<=(wellorderingAx))<=(foundationAx)))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx))<=(powersetAx)))<=(emptysetAx))<=(setextAx))), inference(assume_negation,[status(cth)],[powersetE1])).
0.45/180.04	thf(c_0_111, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X279:$i]:(((((X1 @ X279)))&(![X280:$i]:(((((X1 @ X280)))=>(((X279)=(X280))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_96])).
0.45/180.04	thf(c_0_112, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.45/180.04	thf(c_0_113, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_97])).
0.45/180.04	thf(c_0_114, plain, ((exuE1)=(![X1:$i > $o]:((((?[X277:$i]:(((((X1 @ X277)))&(![X278:$i]:(((((X1 @ X278)))=>(((X277)=(X278))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_96])).
0.45/180.04	thf(c_0_115, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.45/180.04	thf(c_0_116, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.45/180.04	thf(c_0_117, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X285:$i]:(((((X1 @ X285)))&(![X286:$i]:(((((X1 @ X286)))=>(((X285)=(X286)))))))))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_96])).
0.45/180.04	thf(c_0_118, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.45/180.04	thf(c_0_119, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X297:$i]:(((((X1 @ X297)))&(![X298:$i]:(((((X1 @ X298)))=>(((X297)=(X298))))))))))=>((((?[X299:$i]:(((((X17 @ X299)))&(![X300:$i]:(((((X17 @ X300)))=>(((X299)=(X300))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_96])).
0.45/180.04	thf(c_0_120, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X289:$i]:(((((X1 @ X289)))&(![X290:$i]:(((((X1 @ X290)))=>(((X289)=(X290))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_96])).
0.45/180.04	thf(c_0_121, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X291:$i]:(((((X1 @ X291)))&(![X292:$i]:(((((X1 @ X292)))=>(((X291)=(X292))))))))))<=>((?[X293:$i]:(((((X17 @ X293)))&(![X294:$i]:(((((X17 @ X294)))=>(((X293)=(X294)))))))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_96])).
0.45/180.04	thf(c_0_122, plain, ((exuEu)=(![X1:$i > $o]:((((?[X295:$i]:(((((X1 @ X295)))&(![X296:$i]:(((((X1 @ X296)))=>(((X295)=(X296))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_96])).
0.45/180.04	thf(c_0_123, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X283:$i]:(((((X1 @ X283)))&(![X284:$i]:(((((X1 @ X284)))=>(((X283)=(X284)))))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_96])).
0.45/180.04	thf(c_0_124, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X287:$i]:(((((X1 @ X287)))&(![X288:$i]:(((((X1 @ X288)))=>(((X287)=(X288)))))))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_96])).
0.45/180.04	thf(c_0_125, plain, ((emptyE1)<=>![X4:$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])).
0.45/180.04	thf(c_0_126, plain, ((exuE2)=(![X1:$i > $o]:((((?[X281:$i]:(((((X1 @ X281)))&(![X282:$i]:(((((X1 @ X282)))=>(((X281)=(X282))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_96])).
0.45/180.04	thf(c_0_127, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_97])).
0.45/180.04	thf(c_0_128, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.45/180.04	thf(c_0_129, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_97])).
0.45/180.04	thf(c_0_130, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_97])).
0.45/180.04	thf(c_0_131, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.45/180.04	thf(c_0_132, plain, ((descrp)=(![X1:$i > $o]:((((?[X275:$i]:(((((X1 @ X275)))&(![X276:$i]:(((((X1 @ X276)))=>(((X275)=(X276))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_96])).
0.45/180.04	thf(c_0_133, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X273:$i]:(((((X6 @ X2 @ X273)))&(![X274:$i]:(((((X6 @ X2 @ X274)))=>(((X273)=(X274)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_96])).
0.45/180.04	thf(c_0_134, plain, ((epred1_0)<=>![X544:$i]:(?[X545:$i]:((((![X546:$i]:(((in @ X546 @ X545)=>![X547:$i]:(((in @ X547 @ X546)=>(in @ X547 @ X544)))))&![X548:$i, X549:$i]:((((in @ X548 @ X544)&(in @ X549 @ X544))=>(![X550:$i]:(((in @ X550 @ X545)=>((in @ X548 @ X550)<=>(in @ X549 @ X550))))=>((X548)=(X549))))))&![X551:$i, X552:$i]:((((in @ X551 @ X545)&(in @ X552 @ X545))=>(![X553:$i]:(((in @ X553 @ X551)=>(in @ X553 @ X552)))|![X554:$i]:(((in @ X554 @ X552)=>(in @ X554 @ X551)))))))&![X555:$i]:(((![X556:$i]:(((in @ X556 @ X555)=>(in @ X556 @ X544)))&?[X557:$i]:((in @ X557 @ X555)))=>?[X558:$i, X559:$i]:(((((in @ X558 @ X545)&(in @ X559 @ X555))&~(?[X560:$i]:(((in @ X560 @ X558)&(in @ X560 @ X555)))))&![X561:$i]:(((in @ X561 @ X545)=>(![X562:$i]:(((in @ X562 @ X561)=>(in @ X562 @ X558)))|(in @ X559 @ X561)))))))))))), introduced(definition)).
0.45/180.04	thf(c_0_135, negated_conjecture, ~((![X578:$i, X579:$i]:((![X580:$i]:(((in @ X580 @ X578)<=>(in @ X580 @ X579)))=>((X578)=(X579))))=>(![X577:$i]:(~(in @ X577 @ emptyset))=>(![X301:$i, X302:$i, X303:$i]:(((in @ X303 @ (setadjoin @ X301 @ X302))<=>(((X303)=(X301))|(in @ X303 @ X302))))=>(![X574:$i, X575:$i]:(((in @ X575 @ (powerset @ X574))<=>![X576:$i]:(((in @ X576 @ X575)=>(in @ X576 @ X574)))))=>(![X571:$i, X572:$i]:(((in @ X572 @ (setunion @ X571))<=>?[X573:$i]:(((in @ X572 @ X573)&(in @ X573 @ X571)))))=>((in @ emptyset @ omega)=>(![X570:$i]:(((in @ X570 @ omega)=>(in @ (setadjoin @ X570 @ X570) @ omega)))=>(![X567:$i]:((((in @ emptyset @ X567)&![X568:$i]:((((in @ X568 @ omega)&(in @ X568 @ X567))=>(in @ (setadjoin @ X568 @ X568) @ X567))))=>![X569:$i]:(((in @ X569 @ omega)=>(in @ X569 @ X567)))))=>(![X304:$i > $i > $o, X305:$i]:((![X306:$i]:(((in @ X306 @ X305)=>?[X307:$i]:(((X304 @ X306 @ X307)&![X308:$i]:(((X304 @ X306 @ X308)=>((X307)=(X308))))))))=>?[X309:$i]:(![X310:$i]:(((in @ X310 @ X309)<=>?[X311:$i]:(((in @ X311 @ X305)&(X304 @ X311 @ X310))))))))=>(![X563:$i]:((?[X564:$i]:((in @ X564 @ X563))=>?[X565:$i]:(((in @ X565 @ X563)&~(?[X566:$i]:(((in @ X566 @ X565)&(in @ X566 @ X563))))))))=>((epred1_0)=>(![X312:$i > $o]:((?[X313:$i]:(((X312 @ X313)&![X314:$i]:(((X312 @ X314)=>((X313)=(X314))))))=>(X312 @ (descr @ (^[Z0:$i]:(X312 @ Z0))))))=>(![X541:$i, X542:$i > $o, X543:$i]:(((in @ X543 @ X541)=>((X542 @ X543)=>(in @ X543 @ (dsetconstr @ X541 @ X542)))))=>(![X315:$i, X316:$i > $o, X317:$i]:(((in @ X317 @ (dsetconstr @ X315 @ X316))=>(in @ X317 @ X315)))=>(![X538:$i, X539:$i > $o, X540:$i]:(((in @ X540 @ (dsetconstr @ X538 @ X539))=>(X539 @ X540)))=>(![X533:$i > $o]:((?[X534:$i]:(((X533 @ X534)&![X535:$i]:(((X533 @ X535)=>((X534)=(X535))))))=>?[X536:$i]:(((X533 @ X536)&![X537:$i]:(((X533 @ X537)=>((X536)=(X537))))))))=>(![X531:$o, X532:$i]:(((in @ X532 @ (prop2set @ ((X531))))=>(X531)))=>(![X529:$i]:(((in @ X529 @ emptyset)=>![X530:$o]:((X530))))=>(![X318:$i]:(((in @ X318 @ emptyset)=>~($true)))=>(![X528:$i]:(~(in @ X528 @ emptyset))=>(![X524:$i > $o]:((?[X525:$i]:(((X524 @ X525)&![X526:$i]:(((X524 @ X526)=>((X525)=(X526))))))=>?[X527:$i]:((X524 @ X527))))=>(![X319:$i, X320:$i]:((![X321:$i]:(((in @ X321 @ X319)=>(in @ X321 @ X320)))=>(![X322:$i]:(((in @ X322 @ X320)=>(in @ X322 @ X319)))=>((X319)=(X320)))))=>(![X522:$i]:((![X523:$i]:(~(in @ X523 @ X522))=>((X522)=(emptyset))))=>(![X323:$i]:((![X324:$i]:(~(in @ X324 @ X323))=>((X323)=(emptyset))))=>(![X519:$i, X520:$i > $o, X521:$i]:(((in @ X521 @ X519)=>((in @ X521 @ (dsetconstr @ X519 @ X520))<=>(X520 @ X521))))=>(![X325:$i]:((((X325)!=(emptyset))=>?[X326:$i]:((in @ X326 @ X325))))=>(![X327:$i, X328:$i > $o, X329:$i]:(((in @ X329 @ X327)=>((X328 @ X329)=>((dsetconstr @ X327 @ X328)!=(emptyset)))))=>(![X517:$i]:((?[X518:$i]:((in @ X518 @ X517))=>((X517)!=(emptyset))))=>(![X330:$i, X331:$i]:((in @ X330 @ (setadjoin @ X330 @ X331)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X514:$i, X515:$i, X516:$i]:(((in @ X516 @ X515)=>(in @ X516 @ (setadjoin @ X514 @ X515))))=>(![X332:$i, X333:$i, X334:$i]:(((in @ X334 @ (setadjoin @ X332 @ X333))=>![X335:$o]:(((((X334)=(X332))=>(X335))=>(((in @ X334 @ X333)=>(X335))=>(X335))))))=>(![X336:$i, X337:$i, X338:$i]:(((in @ X338 @ (setadjoin @ X336 @ X337))=>(((X338)=(X336))|(in @ X338 @ X337))))=>(![X513:$i]:(((dsetconstr @ X513 @ (^[Z0:$i]:($true)))=(X513)))=>(![X339:$i, X340:$i]:((![X341:$i]:(((in @ X341 @ X340)=>(in @ X341 @ X339)))=>(in @ X340 @ (powerset @ X339))))=>(![X512:$i]:((in @ emptyset @ (powerset @ X512)))=>(![X342:$i]:((in @ emptyset @ (powerset @ X342)))=>(![X509:$i, X510:$i, X511:$i]:(((in @ X510 @ (powerset @ X509))=>((in @ X511 @ X510)=>(in @ X511 @ X509))))=>(![X343:$i, X344:$i, X345:$i]:(((in @ X344 @ X345)=>((in @ X345 @ X343)=>(in @ X344 @ (setunion @ X343)))))=>(![X505:$i, X506:$i]:(((in @ X506 @ (setunion @ X505))=>![X507:$o]:((![X508:$i]:(((in @ X506 @ X508)=>((in @ X508 @ X505)=>(X507))))=>(X507)))))=>(![X346:$i, X347:$i]:(((in @ X347 @ X346)=>(in @ X347 @ (powerset @ (setunion @ X346)))))=>(![X500:$i > $o]:((?[X501:$i]:(((X500 @ X501)&![X502:$i]:(((X500 @ X502)=>((X501)=(X502))))))=>?[X503:$i]:(![X504:$i]:(((X500 @ X504)<=>((X504)=(X503)))))))=>(![X498:$i]:((((X498)!=(emptyset))=>?[X499:$i]:(((in @ X499 @ X498)&$true))))=>(![X348:$i, X349:$i]:(((in @ X348 @ (setadjoin @ X349 @ emptyset))=>((X348)=(X349))))=>(![X496:$i, X497:$i]:((((X496)!=(X497))=>~(in @ X497 @ (setadjoin @ X496 @ emptyset))))=>(![X350:$i, X351:$i]:((((X350)=(X351))=>(in @ X350 @ (setadjoin @ X351 @ emptyset))))=>(![X494:$i, X495:$i]:(((in @ X494 @ (setadjoin @ X495 @ emptyset))=>(in @ X495 @ (setadjoin @ X494 @ emptyset))))=>(![X352:$i, X353:$i, X354:$i]:(((in @ X354 @ (setadjoin @ X352 @ (setadjoin @ X353 @ emptyset)))=>(((X354)=(X352))|((X354)=(X353)))))=>(![X355:$i, X356:$i]:((in @ X355 @ (setadjoin @ X355 @ (setadjoin @ X356 @ emptyset))))=>(![X492:$i, X493:$i]:((in @ X493 @ (setadjoin @ X492 @ (setadjoin @ X493 @ emptyset))))=>(![X489:$i, X490:$i > $o]:((?[X491:$i]:(((in @ X491 @ X489)&(X490 @ X491)))=>(((dsetconstr @ X489 @ X490)=(emptyset))=>~($true))))=>(![X487:$i > $o, X488:$i]:(((in @ X488 @ emptyset)=>(X487 @ X488)))=>(![X483:$i, X484:$i > $o]:((~(![X485:$i]:(((in @ X485 @ X483)=>(X484 @ X485))))=>?[X486:$i]:(((in @ X486 @ X483)&~((X484 @ X486))))))=>(![X479:$i, X480:$i > $o]:((![X481:$i]:(((in @ X481 @ X479)=>~((X480 @ X481))))=>~(?[X482:$i]:(((in @ X482 @ X479)&(X480 @ X482))))))=>(![X357:$i, X358:$i > $o]:((~(?[X359:$i]:(((in @ X359 @ X357)&(X358 @ X359))))=>![X360:$i]:(((in @ X360 @ X357)=>~((X358 @ X360))))))=>(![X361:$i, X362:$i > $o]:((?[X363:$i]:(((in @ X363 @ X361)&~((X362 @ X363))))=>~(![X364:$i]:(((in @ X364 @ X361)=>(X362 @ X364))))))=>(![X478:$o]:(((X478)=>(in @ emptyset @ (prop2set @ ((X478))))))=>((prop2set2propI)=>(![X365:$i, X366:$i > $o]:((~(?[X367:$i]:(((in @ X367 @ X365)&(X366 @ X367))))=>![X368:$i]:(((in @ X368 @ X365)=>~((X366 @ X368))))))=>(![X369:$i, X370:$i > $o]:((~(![X371:$i]:(((in @ X371 @ X369)=>(X370 @ X371))))=>?[X372:$i]:(((in @ X372 @ X369)&~((X370 @ X372))))))=>(![X473:$i > $o]:((?[X474:$i]:(((X473 @ X474)&![X475:$i]:(((X473 @ X475)=>((X474)=(X475))))))=>?[X476:$i]:(((X473 @ X476)&![X477:$i]:(((X473 @ X477)=>((X476)=(X477))))))))=>(![X373:$i > $o]:((?[X374:$i]:((X373 @ X374))=>(![X375:$i, X376:$i]:(((X373 @ X375)=>((X373 @ X376)=>((X375)=(X376)))))=>?[X377:$i]:(((X373 @ X377)&![X378:$i]:(((X373 @ X378)=>((X377)=(X378)))))))))=>(![X468:$i > $o]:((?[X469:$i]:(![X470:$i]:(((X468 @ X470)<=>((X470)=(X469)))))=>?[X471:$i]:(((X468 @ X471)&![X472:$i]:(((X468 @ X472)=>((X471)=(X472))))))))=>(![X464:$i, X465:$i]:((((X464)=(X465))=>![X466:$i, X467:$i]:((((X466)=(X467))=>((in @ X466 @ X464)=>(in @ X467 @ X465))))))=>(![X460:$i, X461:$i]:((((X460)=(X461))=>![X462:$i, X463:$i]:((((X462)=(X463))=>((in @ X462 @ X460)<=>(in @ X463 @ X461))))))=>(![X455:$i > $o]:((?[X456:$i]:(((X455 @ X456)&![X457:$i]:(((X455 @ X457)=>((X456)=(X457))))))=>![X458:$i, X459:$i]:(((X455 @ X458)=>((X455 @ X459)=>((X458)=(X459)))))))=>(![X447:$i > $o, X448:$i > $o]:((![X449:$i, X450:$i]:((((X449)=(X450))=>((X447 @ X449)<=>(X448 @ X450))))=>(?[X451:$i]:(((X447 @ X451)&![X452:$i]:(((X447 @ X452)=>((X451)=(X452))))))<=>?[X453:$i]:(((X448 @ X453)&![X454:$i]:(((X448 @ X454)=>((X453)=(X454)))))))))=>(((emptyset)=(emptyset))=>(![X443:$i, X444:$i]:((((X443)=(X444))=>![X445:$i, X446:$i]:((((X445)=(X446))=>((setadjoin @ X443 @ X445)=(setadjoin @ X444 @ X446))))))=>(![X441:$i, X442:$i]:((((X441)=(X442))=>((powerset @ X441)=(powerset @ X442))))=>(![X379:$i, X380:$i]:((((X379)=(X380))=>((setunion @ X379)=(setunion @ X380))))=>(((omega)=(omega))=>(![X436:$i > $o]:((?[X437:$i]:(((X436 @ X437)&![X438:$i]:(((X436 @ X438)=>((X437)=(X438))))))=>![X439:$i, X440:$i]:(((X436 @ X439)=>((X436 @ X440)=>((X439)=(X440)))))))=>(![X428:$i > $o, X429:$i > $o]:((![X430:$i, X431:$i]:((((X430)=(X431))=>((X428 @ X430)<=>(X429 @ X431))))=>(?[X432:$i]:(((X428 @ X432)&![X433:$i]:(((X428 @ X433)=>((X432)=(X433))))))=>(?[X434:$i]:(((X429 @ X434)&![X435:$i]:(((X429 @ X435)=>((X434)=(X435))))))=>((descr @ X428)=(descr @ X429))))))=>(![X422:$i, X423:$i]:((((X422)=(X423))=>![X424:$i > $o, X425:$i > $o]:((![X426:$i]:(((in @ X426 @ X422)=>![X427:$i]:(((in @ X427 @ X423)=>(((X426)=(X427))=>((X424 @ X426)<=>(X425 @ X427)))))))=>((dsetconstr @ X422 @ X424)=(dsetconstr @ X423 @ X425))))))=>(![X419:$i, X420:$i]:((![X421:$i]:(((in @ X421 @ X419)=>(in @ X421 @ X420)))=>(subset @ X419 @ X420)))=>(![X381:$i, X382:$i]:((((X381)=(X382))=>(subset @ X382 @ X381)))=>(![X417:$i, X418:$i]:((((X417)=(X418))=>(subset @ X417 @ X418)))=>(![X383:$i, X384:$i]:((![X385:$i]:(((in @ X385 @ X383)=>(in @ X385 @ X384)))=>(subset @ X383 @ X384)))=>(![X416:$i]:((subset @ emptyset @ X416))=>(![X386:$i, X387:$i, X388:$i]:(((subset @ X386 @ X387)=>((in @ X388 @ X386)=>(in @ X388 @ X387))))=>(![X389:$i, X390:$i, X391:$i]:(((subset @ X389 @ X390)=>(~(in @ X391 @ X390)=>~(in @ X391 @ X389))))=>(![X413:$i, X414:$i, X415:$i]:(((in @ X415 @ X413)=>(~(in @ X415 @ X414)=>~(subset @ X413 @ X414))))=>(![X411:$i, X412:$i]:((~(subset @ X411 @ X412)=>((X411)!=(X412))))=>(![X392:$i, X393:$i, X394:$i]:(((in @ X394 @ X392)=>(~(in @ X394 @ X393)=>((X392)!=(X393)))))=>(![X410:$i]:((subset @ X410 @ X410))=>(![X395:$i, X396:$i, X397:$i]:(((subset @ X395 @ X396)=>((subset @ X396 @ X397)=>(subset @ X395 @ X397))))=>(![X408:$i, X409:$i]:((subset @ X409 @ (setadjoin @ X408 @ X409)))=>(![X405:$i, X406:$i, X407:$i]:(((subset @ X405 @ X407)=>(subset @ X405 @ (setadjoin @ X406 @ X407))))=>(![X398:$i, X399:$i]:(((subset @ X398 @ X399)=>(in @ X398 @ (powerset @ X399))))=>(![X403:$i, X404:$i]:(((subset @ X403 @ X404)=>((subset @ X404 @ X403)=>((X403)=(X404)))))=>(![X400:$i]:(((subset @ X400 @ emptyset)=>((X400)=(emptyset))))=>(![X401:$i, X402:$i]:(((subset @ X402 @ X401)=>(in @ X402 @ (powerset @ X401))))=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_110, c_0_111]), c_0_112]), c_0_113]), setadjoinIR]), notinemptyset]), emptysetE]), prop2setE]), c_0_114]), c_0_115]), quantDeMorgan3]), c_0_116]), upairsetIL]), wellorderingAx]), upairsetE]), foundationAx]), eqinunit]), omegaIndAx]), uniqinunit]), omegaSAx]), subPowSU]), setunionAx]), setunionI]), powersetAx]), quantDeMorgan4]), emptysetAx]), setextAx]), subsetE]), subsetI2]), eqimpsubset2]), setunion__Cong]), c_0_117]), notdallE]), notdexE]), subsetE2]), setadjoinSub2]), setextsub]), powersetI1]), subsetemptysetimpeq]), subset2powerset]), subsetTrans]), notequalI2]), setadjoinSub]), c_0_118]), subsetI1]), eqimpsubset1]), emptysetsubset]), notsubsetI]), notequalI1]), subsetRefl]), c_0_119]), c_0_120]), c_0_121]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), omega__Cong]), c_0_122]), in__Cong]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), prop2setI]), c_0_123]), c_0_124]), inCongP]), c_0_125]), powersetE]), setunionE]), c_0_126]), c_0_127]), notinsingleton]), singletonsswitch]), upairsetIR]), c_0_128]), emptyinPowerset]), emptyI]), emptyInPowerset]), powersetI]), setadjoinOr]), setadjoinE]), emptyinunitempty]), setadjoinIL]), c_0_129]), c_0_130]), noeltsimpempty]), setext]), emptysetimpfalse]), c_0_131]), c_0_132]), c_0_133]), omega0Ax]), setadjoinAx])])]), c_0_134])).
0.45/180.04	thf(c_0_136, negated_conjecture, ![X581:$i, X582:$i, X584:$i, X585:$i, X586:$i, X587:$i, X588:$i, X589:$i, X590:$i, X591:$i, X592:$i, X594:$i, X595:$i, X597:$i, X598:$i, X599:$i, X600:$i, X601:$i, X603:$i, X604:$i > $i > $o, X605:$i, X607:$i, X610:$i, X612:$i, X613:$i, X614:$i, X615:$i, X617:$i, X618:$i > $o, X619:$i, X621:$i, X622:$i > $o, X623:$i, X624:$i, X625:$i > $o, X626:$i, X627:$i, X628:$i > $o, X629:$i, X630:$i > $o, X631:$i, X634:$i, X635:$o, X636:$i, X637:$i, X638:$o, X639:$i, X640:$i, X641:$i > $o, X642:$i, X645:$i, X646:$i, X649:$i, X651:$i, X653:$i, X654:$i > $o, X655:$i, X656:$i, X658:$i, X659:$i > $o, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$o, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$o, X691:$i, X692:$i, X693:$i > $o, X694:$i, X697:$i, X698:$i, X699:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i > $o, X718:$i, X719:$i > $o, X720:$i, X721:$i, X722:$i > $o, X723:$i, X725:$i, X726:$i > $o, X728:$i, X729:$i, X730:$i > $o, X732:$i, X733:$i, X734:$i > $o, X735:$i, X737:$o, X738:$i, X739:$i > $o, X741:$i, X742:$i, X743:$i > $o, X744:$i, X746:$i > $o, X747:$i, X750:$i, X751:$i > $o, X752:$i, X756:$i, X757:$i > $o, X758:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i > $o, X771:$i, X773:$i, X774:$i, X775:$i > $o, X776:$i > $o, X779:$i, X782:$i, X783:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i > $o, X796:$i, X798:$i, X799:$i, X800:$i > $o, X801:$i > $o, X804:$i, X806:$i, X808:$i, X809:$i, X810:$i > $o, X811:$i > $o, X814:$i, X815:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i]:((((~(in @ (esk1_2 @ X581 @ X582) @ X581)|~(in @ (esk1_2 @ X581 @ X582) @ X582)|((X581)=(X582)))&((in @ (esk1_2 @ X581 @ X582) @ X581)|(in @ (esk1_2 @ X581 @ X582) @ X582)|((X581)=(X582))))&(~(in @ X584 @ emptyset)&(((~(in @ X587 @ (setadjoin @ X585 @ X586))|(((X587)=(X585))|(in @ X587 @ X586)))&((((X587)!=(X585))|(in @ X587 @ (setadjoin @ X585 @ X586)))&(~(in @ X587 @ X586)|(in @ X587 @ (setadjoin @ X585 @ X586)))))&(((~(in @ X589 @ (powerset @ X588))|(~(in @ X590 @ X589)|(in @ X590 @ X588)))&(((in @ (esk2_2 @ X591 @ X592) @ X592)|(in @ X592 @ (powerset @ X591)))&(~(in @ (esk2_2 @ X591 @ X592) @ X591)|(in @ X592 @ (powerset @ X591)))))&(((((in @ X595 @ (esk3_2 @ X594 @ X595))|~(in @ X595 @ (setunion @ X594)))&((in @ (esk3_2 @ X594 @ X595) @ X594)|~(in @ X595 @ (setunion @ X594))))&(~(in @ X598 @ X599)|~(in @ X599 @ X597)|(in @ X598 @ (setunion @ X597))))&((in @ emptyset @ omega)&((~(in @ X600 @ omega)|(in @ (setadjoin @ X600 @ X600) @ omega))&(((((in @ (esk4_1 @ X601) @ omega)|~(in @ emptyset @ X601)|(~(in @ X603 @ omega)|(in @ X603 @ X601)))&((in @ (esk4_1 @ X601) @ X601)|~(in @ emptyset @ X601)|(~(in @ X603 @ omega)|(in @ X603 @ X601))))&(~(in @ (setadjoin @ (esk4_1 @ X601) @ (esk4_1 @ X601)) @ X601)|~(in @ emptyset @ X601)|(~(in @ X603 @ omega)|(in @ X603 @ X601))))&((((((in @ (esk8_3 @ X604 @ X605 @ X610) @ X605)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|(in @ (esk5_2 @ X604 @ X605) @ X605))&((X604 @ (esk8_3 @ X604 @ X605 @ X610) @ X610)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|(in @ (esk5_2 @ X604 @ X605) @ X605)))&(~(in @ X613 @ X605)|~(X604 @ X613 @ X612)|(in @ X612 @ (esk7_2 @ X604 @ X605))|(in @ (esk5_2 @ X604 @ X605) @ X605)))&(((((in @ (esk8_3 @ X604 @ X605 @ X610) @ X605)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|((X604 @ (esk5_2 @ X604 @ X605) @ (esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607)))&((X604 @ (esk8_3 @ X604 @ X605 @ X610) @ X610)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|((X604 @ (esk5_2 @ X604 @ X605) @ (esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607))))&(~(in @ X613 @ X605)|~(X604 @ X613 @ X612)|(in @ X612 @ (esk7_2 @ X604 @ X605))|((X604 @ (esk5_2 @ X604 @ X605) @ (esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607))))&((((in @ (esk8_3 @ X604 @ X605 @ X610) @ X605)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|(((X607)!=(esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607)))&((X604 @ (esk8_3 @ X604 @ X605 @ X610) @ X610)|~(in @ X610 @ (esk7_2 @ X604 @ X605))|(((X607)!=(esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607))))&(~(in @ X613 @ X605)|~(X604 @ X613 @ X612)|(in @ X612 @ (esk7_2 @ X604 @ X605))|(((X607)!=(esk6_3 @ X604 @ X605 @ X607))|~(X604 @ (esk5_2 @ X604 @ X605) @ X607))))))&((((in @ (esk9_1 @ X614) @ X614)|~(in @ X615 @ X614))&(~(in @ X617 @ (esk9_1 @ X614))|~(in @ X617 @ X614)|~(in @ X615 @ X614)))&((epred1_0)&((((X618 @ (esk10_2 @ X618 @ X619))|~(X618 @ X619)|(X618 @ (descr @ X618)))&(((X619)!=(esk10_2 @ X618 @ X619))|~(X618 @ X619)|(X618 @ (descr @ X618))))&((~(in @ X623 @ X621)|(~(X622 @ X623)|(in @ X623 @ (dsetconstr @ X621 @ X622))))&((~(in @ X626 @ (dsetconstr @ X624 @ X625))|(in @ X626 @ X624))&((~(in @ X629 @ (dsetconstr @ X627 @ X628))|(X628 @ X629))&(((((X630 @ (esk12_1 @ X630))|((X630 @ (esk11_2 @ X630 @ X631))|~(X630 @ X631)))&(~(X630 @ X634)|((esk12_1 @ X630)=(X634))|((X630 @ (esk11_2 @ X630 @ X631))|~(X630 @ X631))))&(((X630 @ (esk12_1 @ X630))|(((X631)!=(esk11_2 @ X630 @ X631))|~(X630 @ X631)))&(~(X630 @ X634)|((esk12_1 @ X630)=(X634))|(((X631)!=(esk11_2 @ X630 @ X631))|~(X630 @ X631)))))&((~(in @ X636 @ (prop2set @ ((X635))))|(X635))&((~(in @ X637 @ emptyset)|(X638))&((~(in @ X639 @ emptyset)|~($true))&(~(in @ X640 @ emptyset)&((((X641 @ (esk13_2 @ X641 @ X642))|~(X641 @ X642)|(X641 @ (esk14_1 @ X641)))&(((X642)!=(esk13_2 @ X641 @ X642))|~(X641 @ X642)|(X641 @ (esk14_1 @ X641))))&(((((in @ (esk16_2 @ X645 @ X646) @ X646)|((X645)=(X646))|(in @ (esk15_2 @ X645 @ X646) @ X645))&(~(in @ (esk16_2 @ X645 @ X646) @ X645)|((X645)=(X646))|(in @ (esk15_2 @ X645 @ X646) @ X645)))&(((in @ (esk16_2 @ X645 @ X646) @ X646)|((X645)=(X646))|~(in @ (esk15_2 @ X645 @ X646) @ X646))&(~(in @ (esk16_2 @ X645 @ X646) @ X645)|((X645)=(X646))|~(in @ (esk15_2 @ X645 @ X646) @ X646))))&(((in @ (esk17_1 @ X649) @ X649)|((X649)=(emptyset)))&(((in @ (esk18_1 @ X651) @ X651)|((X651)=(emptyset)))&(((~(in @ X655 @ (dsetconstr @ X653 @ X654))|(X654 @ X655)|~(in @ X655 @ X653))&(~(X654 @ X655)|(in @ X655 @ (dsetconstr @ X653 @ X654))|~(in @ X655 @ X653)))&((((X656)=(emptyset))|(in @ (esk19_1 @ X656) @ X656))&((~(in @ X660 @ X658)|(~(X659 @ X660)|((dsetconstr @ X658 @ X659)!=(emptyset))))&((~(in @ X662 @ X661)|((X661)!=(emptyset)))&((in @ X663 @ (setadjoin @ X663 @ X664))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X667 @ X666)|(in @ X667 @ (setadjoin @ X665 @ X666)))&(((((in @ X670 @ X669)|(X671)|((X670)=(X668))|~(in @ X670 @ (setadjoin @ X668 @ X669)))&(~(X671)|(X671)|((X670)=(X668))|~(in @ X670 @ (setadjoin @ X668 @ X669))))&(((in @ X670 @ X669)|(X671)|~(X671)|~(in @ X670 @ (setadjoin @ X668 @ X669)))&(~(X671)|(X671)|~(X671)|~(in @ X670 @ (setadjoin @ X668 @ X669)))))&((~(in @ X674 @ (setadjoin @ X672 @ X673))|(((X674)=(X672))|(in @ X674 @ X673)))&(((dsetconstr @ X675 @ (^[Z0:$i]:($true)))=(X675))&((((in @ (esk20_2 @ X676 @ X677) @ X677)|(in @ X677 @ (powerset @ X676)))&(~(in @ (esk20_2 @ X676 @ X677) @ X676)|(in @ X677 @ (powerset @ X676))))&((in @ emptyset @ (powerset @ X679))&((in @ emptyset @ (powerset @ X680))&((~(in @ X682 @ (powerset @ X681))|(~(in @ X683 @ X682)|(in @ X683 @ X681)))&((~(in @ X685 @ X686)|(~(in @ X686 @ X684)|(in @ X685 @ (setunion @ X684))))&((((in @ X688 @ (esk21_3 @ X687 @ X688 @ X689))|(X689)|~(in @ X688 @ (setunion @ X687)))&(((in @ (esk21_3 @ X687 @ X688 @ X689) @ X687)|(X689)|~(in @ X688 @ (setunion @ X687)))&(~(X689)|(X689)|~(in @ X688 @ (setunion @ X687)))))&((~(in @ X692 @ X691)|(in @ X692 @ (powerset @ (setunion @ X691))))&((((~(X693 @ X697)|((X697)=(esk23_1 @ X693))|((X693 @ (esk22_2 @ X693 @ X694))|~(X693 @ X694)))&(((X698)!=(esk23_1 @ X693))|(X693 @ X698)|((X693 @ (esk22_2 @ X693 @ X694))|~(X693 @ X694))))&((~(X693 @ X697)|((X697)=(esk23_1 @ X693))|(((X694)!=(esk22_2 @ X693 @ X694))|~(X693 @ X694)))&(((X698)!=(esk23_1 @ X693))|(X693 @ X698)|(((X694)!=(esk22_2 @ X693 @ X694))|~(X693 @ X694)))))&((((in @ (esk24_1 @ X699) @ X699)|((X699)=(emptyset)))&(($true)|((X699)=(emptyset))))&((~(in @ X701 @ (setadjoin @ X702 @ emptyset))|((X701)=(X702)))&((((X703)=(X704))|~(in @ X704 @ (setadjoin @ X703 @ emptyset)))&((((X705)!=(X706))|(in @ X705 @ (setadjoin @ X706 @ emptyset)))&((~(in @ X707 @ (setadjoin @ X708 @ emptyset))|(in @ X708 @ (setadjoin @ X707 @ emptyset)))&((~(in @ X711 @ (setadjoin @ X709 @ (setadjoin @ X710 @ emptyset)))|(((X711)=(X709))|((X711)=(X710))))&((in @ X712 @ (setadjoin @ X712 @ (setadjoin @ X713 @ emptyset)))&((in @ X715 @ (setadjoin @ X714 @ (setadjoin @ X715 @ emptyset)))&((~(in @ X718 @ X716)|~(X717 @ X718)|(((dsetconstr @ X716 @ X717)!=(emptyset))|~($true)))&((~(in @ X720 @ emptyset)|(X719 @ X720))&((((in @ (esk25_2 @ X721 @ X722) @ X721)|(~(in @ X723 @ X721)|(X722 @ X723)))&(~(X722 @ (esk25_2 @ X721 @ X722))|(~(in @ X723 @ X721)|(X722 @ X723))))&((((in @ (esk26_2 @ X725 @ X726) @ X725)|(~(in @ X728 @ X725)|~(X726 @ X728)))&((X726 @ (esk26_2 @ X725 @ X726))|(~(in @ X728 @ X725)|~(X726 @ X728))))&((((in @ (esk27_2 @ X729 @ X730) @ X729)|(~(in @ X732 @ X729)|~(X730 @ X732)))&((X730 @ (esk27_2 @ X729 @ X730))|(~(in @ X732 @ X729)|~(X730 @ X732))))&((((in @ (esk28_2 @ X733 @ X734) @ X733)|(~(in @ X735 @ X733)|(X734 @ X735)))&(~(X734 @ (esk28_2 @ X733 @ X734))|(~(in @ X735 @ X733)|(X734 @ X735))))&((~(X737)|(in @ emptyset @ (prop2set @ ((X737)))))&((prop2set2propI)&((((in @ (esk29_2 @ X738 @ X739) @ X738)|(~(in @ X741 @ X738)|~(X739 @ X741)))&((X739 @ (esk29_2 @ X738 @ X739))|(~(in @ X741 @ X738)|~(X739 @ X741))))&((((in @ (esk30_2 @ X742 @ X743) @ X742)|(~(in @ X744 @ X742)|(X743 @ X744)))&(~(X743 @ (esk30_2 @ X742 @ X743))|(~(in @ X744 @ X742)|(X743 @ X744))))&(((((X746 @ (esk32_1 @ X746))|((X746 @ (esk31_2 @ X746 @ X747))|~(X746 @ X747)))&(~(X746 @ X750)|((esk32_1 @ X746)=(X750))|((X746 @ (esk31_2 @ X746 @ X747))|~(X746 @ X747))))&(((X746 @ (esk32_1 @ X746))|(((X747)!=(esk31_2 @ X746 @ X747))|~(X746 @ X747)))&(~(X746 @ X750)|((esk32_1 @ X746)=(X750))|(((X747)!=(esk31_2 @ X746 @ X747))|~(X746 @ X747)))))&(((((X751 @ (esk35_1 @ X751))|(X751 @ (esk33_1 @ X751))|~(X751 @ X752))&(~(X751 @ X756)|((esk35_1 @ X751)=(X756))|(X751 @ (esk33_1 @ X751))|~(X751 @ X752)))&((((X751 @ (esk35_1 @ X751))|(X751 @ (esk34_1 @ X751))|~(X751 @ X752))&(~(X751 @ X756)|((esk35_1 @ X751)=(X756))|(X751 @ (esk34_1 @ X751))|~(X751 @ X752)))&(((X751 @ (esk35_1 @ X751))|((esk33_1 @ X751)!=(esk34_1 @ X751))|~(X751 @ X752))&(~(X751 @ X756)|((esk35_1 @ X751)=(X756))|((esk33_1 @ X751)!=(esk34_1 @ X751))|~(X751 @ X752)))))&(((((X757 @ (esk37_1 @ X757))|(~(X757 @ (esk36_2 @ X757 @ X758))|((esk36_2 @ X757 @ X758)!=(X758))))&(~(X757 @ X761)|((esk37_1 @ X757)=(X761))|(~(X757 @ (esk36_2 @ X757 @ X758))|((esk36_2 @ X757 @ X758)!=(X758)))))&(((X757 @ (esk37_1 @ X757))|((X757 @ (esk36_2 @ X757 @ X758))|((esk36_2 @ X757 @ X758)=(X758))))&(~(X757 @ X761)|((esk37_1 @ X757)=(X761))|((X757 @ (esk36_2 @ X757 @ X758))|((esk36_2 @ X757 @ X758)=(X758))))))&((((X762)!=(X763))|(((X764)!=(X765))|(~(in @ X764 @ X762)|(in @ X765 @ X763))))&(((~(in @ X768 @ X766)|(in @ X769 @ X767)|((X768)!=(X769))|((X766)!=(X767)))&(~(in @ X769 @ X767)|(in @ X768 @ X766)|((X768)!=(X769))|((X766)!=(X767))))&((((X770 @ (esk38_2 @ X770 @ X771))|~(X770 @ X771)|(~(X770 @ X773)|(~(X770 @ X774)|((X773)=(X774)))))&(((X771)!=(esk38_2 @ X770 @ X771))|~(X770 @ X771)|(~(X770 @ X773)|(~(X770 @ X774)|((X773)=(X774))))))&(((((((X776 @ (esk42_2 @ X775 @ X776))|((X775 @ (esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776)))&(~(X776 @ X782)|((esk42_2 @ X775 @ X776)=(X782))|((X775 @ (esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776))))&(((X776 @ (esk42_2 @ X775 @ X776))|(((X779)!=(esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776)))&(~(X776 @ X782)|((esk42_2 @ X775 @ X776)=(X782))|(((X779)!=(esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776)))))&((((X775 @ (esk44_2 @ X775 @ X776))|((X776 @ (esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776)))&(~(X775 @ X786)|((esk44_2 @ X775 @ X776)=(X786))|((X776 @ (esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((esk39_2 @ X775 @ X776)=(esk40_2 @ X775 @ X776))))&(((X775 @ (esk44_2 @ X775 @ X776))|(((X783)!=(esk43_3 @ X775 @ 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X783))|~(X776 @ X783))|(~(X775 @ (esk39_2 @ X775 @ X776))|~(X776 @ (esk40_2 @ X775 @ X776))))&(~(X775 @ X786)|((esk44_2 @ X775 @ X776)=(X786))|((X776 @ (esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|(~(X775 @ (esk39_2 @ X775 @ X776))|~(X776 @ (esk40_2 @ X775 @ X776)))))&(((X775 @ (esk44_2 @ X775 @ X776))|(((X783)!=(esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|(~(X775 @ (esk39_2 @ X775 @ X776))|~(X776 @ (esk40_2 @ X775 @ X776))))&(~(X775 @ X786)|((esk44_2 @ X775 @ X776)=(X786))|(((X783)!=(esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|(~(X775 @ (esk39_2 @ X775 @ X776))|~(X776 @ (esk40_2 @ X775 @ X776)))))))&(((((X776 @ (esk42_2 @ X775 @ X776))|((X775 @ (esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776))))&(~(X776 @ X782)|((esk42_2 @ X775 @ X776)=(X782))|((X775 @ (esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776)))))&(((X776 @ (esk42_2 @ X775 @ X776))|(((X779)!=(esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776))))&(~(X776 @ X782)|((esk42_2 @ X775 @ X776)=(X782))|(((X779)!=(esk41_3 @ X775 @ X776 @ X779))|~(X775 @ X779))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776))))))&((((X775 @ (esk44_2 @ X775 @ X776))|((X776 @ (esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776))))&(~(X775 @ X786)|((esk44_2 @ X775 @ X776)=(X786))|((X776 @ (esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776)))))&(((X775 @ (esk44_2 @ X775 @ X776))|(((X783)!=(esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776))))&(~(X775 @ X786)|((esk44_2 @ X775 @ X776)=(X786))|(((X783)!=(esk43_3 @ X775 @ X776 @ X783))|~(X776 @ X783))|((X775 @ (esk39_2 @ X775 @ X776))|(X776 @ (esk40_2 @ X775 @ X776)))))))))&(((emptyset)=(emptyset))&((((X787)!=(X788))|(((X789)!=(X790))|((setadjoin @ X787 @ X789)=(setadjoin @ X788 @ X790))))&((((X791)!=(X792))|((powerset @ X791)=(powerset @ X792)))&((((X793)!=(X794))|((setunion @ X793)=(setunion @ X794)))&(((omega)=(omega))&((((X795 @ (esk45_2 @ X795 @ X796))|~(X795 @ X796)|(~(X795 @ X798)|(~(X795 @ X799)|((X798)=(X799)))))&(((X796)!=(esk45_2 @ X795 @ X796))|~(X795 @ X796)|(~(X795 @ X798)|(~(X795 @ X799)|((X798)=(X799))))))&((((((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((esk46_2 @ X800 @ X801)=(esk47_2 @ X800 @ X801)))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((esk46_2 @ X800 @ X801)=(esk47_2 @ X800 @ X801))))&(((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((esk46_2 @ X800 @ X801)=(esk47_2 @ X800 @ X801)))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((esk46_2 @ X800 @ X801)=(esk47_2 @ X800 @ X801)))))&(((((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|(~(X800 @ (esk46_2 @ X800 @ X801))|~(X801 @ (esk47_2 @ X800 @ X801))))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|(~(X800 @ (esk46_2 @ X800 @ X801))|~(X801 @ (esk47_2 @ X800 @ X801)))))&(((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|(~(X800 @ (esk46_2 @ X800 @ X801))|~(X801 @ (esk47_2 @ X800 @ X801))))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|(~(X800 @ (esk46_2 @ X800 @ X801))|~(X801 @ (esk47_2 @ X800 @ X801))))))&((((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((X800 @ (esk46_2 @ X800 @ X801))|(X801 @ (esk47_2 @ X800 @ X801))))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|((X800 @ (esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((X800 @ (esk46_2 @ X800 @ X801))|(X801 @ (esk47_2 @ X800 @ X801)))))&(((X801 @ (esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((X800 @ (esk46_2 @ X800 @ X801))|(X801 @ (esk47_2 @ X800 @ X801))))&(((X806)!=(esk49_3 @ X800 @ X801 @ X806))|~(X801 @ X806)|((descr @ X800)=(descr @ X801))|(((X804)!=(esk48_3 @ X800 @ X801 @ X804))|~(X800 @ X804))|((X800 @ (esk46_2 @ X800 @ X801))|(X801 @ (esk47_2 @ X800 @ X801))))))))&((((in @ (esk50_4 @ X808 @ X809 @ X810 @ X811) @ X808)|((dsetconstr @ X808 @ X810)=(dsetconstr @ X809 @ X811))|((X808)!=(X809)))&(((in @ (esk51_4 @ X808 @ X809 @ X810 @ X811) @ X809)|((dsetconstr @ X808 @ X810)=(dsetconstr @ X809 @ X811))|((X808)!=(X809)))&((((esk50_4 @ X808 @ X809 @ X810 @ X811)=(esk51_4 @ X808 @ X809 @ X810 @ X811))|((dsetconstr @ X808 @ X810)=(dsetconstr @ X809 @ X811))|((X808)!=(X809)))&((~(X810 @ (esk50_4 @ X808 @ X809 @ X810 @ X811))|~(X811 @ (esk51_4 @ X808 @ X809 @ X810 @ X811))|((dsetconstr @ X808 @ X810)=(dsetconstr @ X809 @ X811))|((X808)!=(X809)))&((X810 @ (esk50_4 @ X808 @ X809 @ X810 @ X811))|(X811 @ (esk51_4 @ X808 @ X809 @ X810 @ X811))|((dsetconstr @ X808 @ X810)=(dsetconstr @ X809 @ X811))|((X808)!=(X809)))))))&((((in @ (esk52_2 @ X814 @ X815) @ X814)|(subset @ X814 @ X815))&(~(in @ (esk52_2 @ X814 @ X815) @ X815)|(subset @ X814 @ X815)))&((((X817)!=(X818))|(subset @ X818 @ X817))&((((X819)!=(X820))|(subset @ X819 @ X820))&((((in @ (esk53_2 @ X821 @ X822) @ X821)|(subset @ X821 @ X822))&(~(in @ (esk53_2 @ X821 @ X822) @ X822)|(subset @ X821 @ X822)))&((subset @ emptyset @ X824)&((~(subset @ X825 @ X826)|(~(in @ X827 @ X825)|(in @ X827 @ X826)))&((~(subset @ X828 @ X829)|((in @ X830 @ X829)|~(in @ X830 @ X828)))&((~(in @ X833 @ X831)|((in @ X833 @ X832)|~(subset @ X831 @ X832)))&(((subset @ X834 @ X835)|((X834)!=(X835)))&((~(in @ X838 @ X836)|((in @ X838 @ X837)|((X836)!=(X837))))&((subset @ X839 @ X839)&((~(subset @ X840 @ X841)|(~(subset @ X841 @ X842)|(subset @ X840 @ X842)))&((subset @ X844 @ (setadjoin @ X843 @ X844))&((~(subset @ X845 @ X847)|(subset @ X845 @ (setadjoin @ X846 @ X847)))&((~(subset @ X848 @ X849)|(in @ X848 @ (powerset @ X849)))&((~(subset @ X850 @ X851)|(~(subset @ X851 @ X850)|((X850)=(X851))))&((~(subset @ X852 @ emptyset)|((X852)=(emptyset)))&((~(subset @ X854 @ X853)|(in @ X854 @ (powerset @ X853)))&((in @ esk55_0 @ (powerset @ esk54_0))&~(subset @ esk55_0 @ esk54_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_135])])])])])])])).
0.45/180.04	thf(c_0_137, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_136])).
0.45/180.04	thf(c_0_138, negated_conjecture, (in @ esk55_0 @ (powerset @ esk54_0)), inference(split_conjunct,[status(thm)],[c_0_136])).
0.45/180.04	thf(c_0_139, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_136])).
0.45/180.04	thf(c_0_140, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk54_0)|~((in @ X2 @ esk55_0)))), inference(spm,[status(thm)],[c_0_137, c_0_138])).
0.45/180.04	thf(c_0_141, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk54_0)|~((in @ (esk53_2 @ X2 @ esk54_0) @ esk55_0)))), inference(spm,[status(thm)],[c_0_139, c_0_140])).
0.45/180.04	thf(c_0_142, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_136])).
0.45/180.04	thf(c_0_143, negated_conjecture, ~((subset @ esk55_0 @ esk54_0)), inference(split_conjunct,[status(thm)],[c_0_136])).
0.45/180.04	thf(c_0_144, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_143]), ['proof']).
0.45/180.04	% SZS output end CNFRefutation
0.45/180.04	% Parsed axioms                        : 204
0.45/180.04	% Removed by relevancy pruning/SinE    : 109
0.45/180.04	% Initial clauses                      : 205
0.45/180.04	% Removed in clause preprocessing      : 14
0.45/180.04	% Initial clauses in saturation        : 191
0.45/180.04	% Processed clauses                    : 205
0.45/180.04	% ...of these trivial                  : 3
0.45/180.04	% ...subsumed                          : 87
0.45/180.04	% ...remaining for further processing  : 115
0.45/180.04	% Other redundant clauses eliminated   : 7
0.45/180.04	% Clauses deleted for lack of memory   : 0
0.45/180.04	% Backward-subsumed                    : 0
0.45/180.04	% Backward-rewritten                   : 5
0.45/180.04	% Generated clauses                    : 738
0.45/180.04	% ...of the previous two non-redundant : 690
0.45/180.04	% ...aggressively subsumed             : 0
0.45/180.04	% Contextual simplify-reflections      : 0
0.45/180.04	% Paramodulations                      : 731
0.45/180.04	% Factorizations                       : 0
0.45/180.04	% NegExts                              : 0
0.45/180.04	% Equation resolutions                 : 7
0.45/180.04	% Disequality decompositions           : 0
0.45/180.04	% Total rewrite steps                  : 58
0.45/180.04	% ...of those cached                   : 33
0.45/180.04	% Propositional unsat checks           : 0
0.45/180.04	%    Propositional check models        : 0
0.45/180.04	%    Propositional check unsatisfiable : 0
0.45/180.04	%    Propositional clauses             : 0
0.45/180.04	%    Propositional clauses after purity: 0
0.45/180.04	%    Propositional unsat core size     : 0
0.45/180.04	%    Propositional preprocessing time  : 0.000
0.45/180.04	%    Propositional encoding time       : 0.000
0.45/180.04	%    Propositional solver time         : 0.000
0.45/180.04	%    Success case prop preproc time    : 0.000
0.45/180.04	%    Success case prop encoding time   : 0.000
0.45/180.04	%    Success case prop solver time     : 0.000
0.45/180.04	% Current number of processed clauses  : 104
0.45/180.04	%    Positive orientable unit clauses  : 20
0.45/180.04	%    Positive unorientable unit clauses: 0
0.45/180.04	%    Negative unit clauses             : 2
0.45/180.04	%    Non-unit-clauses                  : 82
0.45/180.04	% Current number of unprocessed clauses: 663
0.45/180.04	% ...number of literals in the above   : 2007
0.45/180.04	% Current number of archived formulas  : 0
0.45/180.04	% Current number of archived clauses   : 5
0.45/180.04	% Clause-clause subsumption calls (NU) : 782
0.45/180.04	% Rec. Clause-clause subsumption calls : 702
0.45/180.04	% Non-unit clause-clause subsumptions  : 71
0.45/180.04	% Unit Clause-clause subsumption calls : 24
0.45/180.04	% Rewrite failures with RHS unbound    : 0
0.45/180.04	% BW rewrite match attempts            : 11
0.45/180.04	% BW rewrite match successes           : 4
0.45/180.04	% Condensation attempts                : 0
0.45/180.04	% Condensation successes               : 0
0.45/180.04	% Termbank termtop insertions          : 34561
0.45/180.04	% Search garbage collected termcells   : 10326
0.45/180.04	
0.45/180.04	% -------------------------------------------------
0.45/180.04	% User time                : 0.051 s
0.45/180.04	% System time              : 0.006 s
0.45/180.04	% Total time               : 0.057 s
0.45/180.04	% Maximum resident set size: 6136 pages
0.45/180.04	
0.45/180.04	% -------------------------------------------------
0.45/180.04	% User time                : 0.052 s
0.45/180.04	% System time              : 0.013 s
0.45/180.04	% Total time               : 0.065 s
0.45/180.04	% Maximum resident set size: 5120 pages
0.45/180.04	EOF