0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.12	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.32	% Computer : n008.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1920
0.12/0.32	% WCLimit    : 240
0.12/0.32	% DateTime   : Wed Jul 30 05:47:19 EDT 2025
0.12/0.32	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.49	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=240 /export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p
0.74/240.10	# Version: 3.0.0-ho
0.74/240.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.74/240.10	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.74/240.10	# Starting ehoh_best5 with 240s (1) cores
0.74/240.10	# Starting almost_fo_3_lam with 240s (1) cores
0.74/240.10	# Starting new_bool_5 with 240s (1) cores
0.74/240.10	# Starting pre_casc_3 with 240s (1) cores
0.74/240.10	# Starting ho_unfolding_8 with 240s (1) cores
0.74/240.10	# Starting new_ho_10_cnf2 with 240s (1) cores
0.74/240.10	# Starting new_bool_3 with 240s (1) cores
0.74/240.10	# Starting new_ho_5 with 240s (1) cores
0.74/240.10	# new_bool_3 with pid 11867 completed with status 0
0.74/240.10	# Result found by new_bool_3
0.74/240.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.74/240.10	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.74/240.10	# Starting ehoh_best5 with 240s (1) cores
0.74/240.10	# Starting almost_fo_3_lam with 240s (1) cores
0.74/240.10	# Starting new_bool_5 with 240s (1) cores
0.74/240.10	# Starting pre_casc_3 with 240s (1) cores
0.74/240.10	# Starting ho_unfolding_8 with 240s (1) cores
0.74/240.10	# Starting new_ho_10_cnf2 with 240s (1) cores
0.74/240.10	# Starting new_bool_3 with 240s (1) cores
0.74/240.10	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.74/240.10	# Search class: HGHSM-FSLM31-MHFMMSBN
0.74/240.10	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.74/240.10	# Starting new_ho_10_cnf2 with 130s (1) cores
0.74/240.10	# new_ho_10_cnf2 with pid 11871 completed with status 0
0.74/240.10	# Result found by new_ho_10_cnf2
0.74/240.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.74/240.10	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.74/240.10	# Starting ehoh_best5 with 240s (1) cores
0.74/240.10	# Starting almost_fo_3_lam with 240s (1) cores
0.74/240.10	# Starting new_bool_5 with 240s (1) cores
0.74/240.10	# Starting pre_casc_3 with 240s (1) cores
0.74/240.10	# Starting ho_unfolding_8 with 240s (1) cores
0.74/240.10	# Starting new_ho_10_cnf2 with 240s (1) cores
0.74/240.10	# Starting new_bool_3 with 240s (1) cores
0.74/240.10	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.74/240.10	# Search class: HGHSM-FSLM31-MHFMMSBN
0.74/240.10	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.74/240.10	# Starting new_ho_10_cnf2 with 130s (1) cores
0.74/240.10	# Preprocessing time       : 0.005 s
0.74/240.10	# Presaturation interreduction done
0.74/240.10	
0.74/240.10	# Proof found!
0.74/240.10	# SZS status Theorem
0.74/240.10	# SZS output start CNFRefutation
0.74/240.10	thf(decl_23, type, in: $i > $i > $o).
0.74/240.10	thf(decl_24, type, exu: ($i > $o) > $o).
0.74/240.10	thf(decl_25, type, setextAx: $o).
0.74/240.10	thf(decl_26, type, emptyset: $i).
0.74/240.10	thf(decl_27, type, emptysetAx: $o).
0.74/240.10	thf(decl_28, type, setadjoin: $i > $i > $i).
0.74/240.10	thf(decl_29, type, setadjoinAx: $o).
0.74/240.10	thf(decl_30, type, powerset: $i > $i).
0.74/240.10	thf(decl_31, type, powersetAx: $o).
0.74/240.10	thf(decl_32, type, setunion: $i > $i).
0.74/240.10	thf(decl_33, type, setunionAx: $o).
0.74/240.10	thf(decl_34, type, omega: $i).
0.74/240.10	thf(decl_35, type, omega0Ax: $o).
0.74/240.10	thf(decl_36, type, omegaSAx: $o).
0.74/240.10	thf(decl_37, type, omegaIndAx: $o).
0.74/240.10	thf(decl_38, type, replAx: $o).
0.74/240.10	thf(decl_39, type, foundationAx: $o).
0.74/240.10	thf(decl_40, type, wellorderingAx: $o).
0.74/240.10	thf(decl_41, type, descr: ($i > $o) > $i).
0.74/240.10	thf(decl_42, type, descrp: $o).
0.74/240.10	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_44, type, dsetconstrI: $o).
0.74/240.10	thf(decl_45, type, dsetconstrEL: $o).
0.74/240.10	thf(decl_46, type, dsetconstrER: $o).
0.74/240.10	thf(decl_47, type, exuE1: $o).
0.74/240.10	thf(decl_48, type, prop2set: $o > $i).
0.74/240.10	thf(decl_49, type, prop2setE: $o).
0.74/240.10	thf(decl_50, type, emptysetE: $o).
0.74/240.10	thf(decl_51, type, emptysetimpfalse: $o).
0.74/240.10	thf(decl_52, type, notinemptyset: $o).
0.74/240.10	thf(decl_53, type, exuE3e: $o).
0.74/240.10	thf(decl_54, type, setext: $o).
0.74/240.10	thf(decl_55, type, emptyI: $o).
0.74/240.10	thf(decl_56, type, noeltsimpempty: $o).
0.74/240.10	thf(decl_57, type, setbeta: $o).
0.74/240.10	thf(decl_58, type, nonempty: $i > $o).
0.74/240.10	thf(decl_59, type, nonemptyE1: $o).
0.74/240.10	thf(decl_60, type, nonemptyI: $o).
0.74/240.10	thf(decl_61, type, nonemptyI1: $o).
0.74/240.10	thf(decl_62, type, setadjoinIL: $o).
0.74/240.10	thf(decl_63, type, emptyinunitempty: $o).
0.74/240.10	thf(decl_64, type, setadjoinIR: $o).
0.74/240.10	thf(decl_65, type, setadjoinE: $o).
0.74/240.10	thf(decl_66, type, setadjoinOr: $o).
0.74/240.10	thf(decl_67, type, setoftrueEq: $o).
0.74/240.10	thf(decl_68, type, powersetI: $o).
0.74/240.10	thf(decl_69, type, emptyinPowerset: $o).
0.74/240.10	thf(decl_70, type, emptyInPowerset: $o).
0.74/240.10	thf(decl_71, type, powersetE: $o).
0.74/240.10	thf(decl_72, type, setunionI: $o).
0.74/240.10	thf(decl_73, type, setunionE: $o).
0.74/240.10	thf(decl_74, type, subPowSU: $o).
0.74/240.10	thf(decl_75, type, exuE2: $o).
0.74/240.10	thf(decl_76, type, nonemptyImpWitness: $o).
0.74/240.10	thf(decl_77, type, uniqinunit: $o).
0.74/240.10	thf(decl_78, type, notinsingleton: $o).
0.74/240.10	thf(decl_79, type, eqinunit: $o).
0.74/240.10	thf(decl_80, type, singletonsswitch: $o).
0.74/240.10	thf(decl_81, type, upairsetE: $o).
0.74/240.10	thf(decl_82, type, upairsetIL: $o).
0.74/240.10	thf(decl_83, type, upairsetIR: $o).
0.74/240.10	thf(decl_84, type, emptyE1: $o).
0.74/240.10	thf(decl_85, type, vacuousDall: $o).
0.74/240.10	thf(decl_86, type, quantDeMorgan1: $o).
0.74/240.10	thf(decl_87, type, quantDeMorgan2: $o).
0.74/240.10	thf(decl_88, type, quantDeMorgan3: $o).
0.74/240.10	thf(decl_89, type, quantDeMorgan4: $o).
0.74/240.10	thf(decl_90, type, prop2setI: $o).
0.74/240.10	thf(decl_92, type, prop2set2propI: $o).
0.74/240.10	thf(decl_93, type, notdexE: $o).
0.74/240.10	thf(decl_94, type, notdallE: $o).
0.74/240.10	thf(decl_95, type, exuI1: $o).
0.74/240.10	thf(decl_96, type, exuI3: $o).
0.74/240.10	thf(decl_97, type, exuI2: $o).
0.74/240.10	thf(decl_98, type, inCongP: $o).
0.74/240.10	thf(decl_99, type, in__Cong: $o).
0.74/240.10	thf(decl_100, type, exuE3u: $o).
0.74/240.10	thf(decl_101, type, exu__Cong: $o).
0.74/240.10	thf(decl_102, type, emptyset__Cong: $o).
0.74/240.10	thf(decl_103, type, setadjoin__Cong: $o).
0.74/240.10	thf(decl_104, type, powerset__Cong: $o).
0.74/240.10	thf(decl_105, type, setunion__Cong: $o).
0.74/240.10	thf(decl_106, type, omega__Cong: $o).
0.74/240.10	thf(decl_107, type, exuEu: $o).
0.74/240.10	thf(decl_108, type, descr__Cong: $o).
0.74/240.10	thf(decl_109, type, dsetconstr__Cong: $o).
0.74/240.10	thf(decl_110, type, subset: $i > $i > $o).
0.74/240.10	thf(decl_113, type, subsetI1: $o).
0.74/240.10	thf(decl_114, type, eqimpsubset2: $o).
0.74/240.10	thf(decl_115, type, eqimpsubset1: $o).
0.74/240.10	thf(decl_116, type, subsetI2: $o).
0.74/240.10	thf(decl_117, type, emptysetsubset: $o).
0.74/240.10	thf(decl_118, type, subsetE: $o).
0.74/240.10	thf(decl_119, type, subsetE2: $o).
0.74/240.10	thf(decl_120, type, notsubsetI: $o).
0.74/240.10	thf(decl_121, type, notequalI1: $o).
0.74/240.10	thf(decl_122, type, notequalI2: $o).
0.74/240.10	thf(decl_123, type, subsetRefl: $o).
0.74/240.10	thf(decl_124, type, subsetTrans: $o).
0.74/240.10	thf(decl_125, type, setadjoinSub: $o).
0.74/240.10	thf(decl_126, type, setadjoinSub2: $o).
0.74/240.10	thf(decl_127, type, subset2powerset: $o).
0.74/240.10	thf(decl_128, type, setextsub: $o).
0.74/240.10	thf(decl_129, type, subsetemptysetimpeq: $o).
0.74/240.10	thf(decl_130, type, powersetI1: $o).
0.74/240.10	thf(decl_131, type, powersetE1: $o).
0.74/240.10	thf(decl_132, type, inPowerset: $o).
0.74/240.10	thf(decl_133, type, powersetsubset: $o).
0.74/240.10	thf(decl_134, type, sepInPowerset: $o).
0.74/240.10	thf(decl_135, type, sepSubset: $o).
0.74/240.10	thf(decl_136, type, binunion: $i > $i > $i).
0.74/240.10	thf(decl_137, type, binunionIL: $o).
0.74/240.10	thf(decl_138, type, upairset2IR: $o).
0.74/240.10	thf(decl_139, type, binunionIR: $o).
0.74/240.10	thf(decl_140, type, binunionEcases: $o).
0.74/240.10	thf(decl_141, type, binunionE: $o).
0.74/240.10	thf(decl_142, type, binunionLsub: $o).
0.74/240.10	thf(decl_143, type, binunionRsub: $o).
0.74/240.10	thf(decl_144, type, binintersect: $i > $i > $i).
0.74/240.10	thf(decl_145, type, binintersectI: $o).
0.74/240.10	thf(decl_146, type, binintersectSubset5: $o).
0.74/240.10	thf(decl_147, type, binintersectEL: $o).
0.74/240.10	thf(decl_148, type, binintersectLsub: $o).
0.74/240.10	thf(decl_149, type, binintersectSubset2: $o).
0.74/240.10	thf(decl_150, type, binintersectSubset3: $o).
0.74/240.10	thf(decl_151, type, binintersectER: $o).
0.74/240.10	thf(decl_152, type, disjointsetsI1: $o).
0.74/240.10	thf(decl_153, type, binintersectRsub: $o).
0.74/240.10	thf(decl_154, type, binintersectSubset4: $o).
0.74/240.10	thf(decl_155, type, binintersectSubset1: $o).
0.74/240.10	thf(decl_156, type, bs114d: $o).
0.74/240.10	thf(decl_158, type, setminus: $i > $i > $i).
0.74/240.10	thf(decl_159, type, setminusI: $o).
0.74/240.10	thf(decl_160, type, setminusEL: $o).
0.74/240.10	thf(decl_161, type, epred1_0: $o).
0.74/240.10	thf(decl_162, type, esk1_2: $i > $i > $i).
0.74/240.10	thf(decl_163, type, esk2_2: $i > $i > $i).
0.74/240.10	thf(decl_164, type, esk3_2: $i > $i > $i).
0.74/240.10	thf(decl_165, type, esk4_1: $i > $i).
0.74/240.10	thf(decl_166, type, esk5_2: ($i > $i > $o) > $i > $i).
0.74/240.10	thf(decl_167, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.74/240.10	thf(decl_168, type, esk7_2: ($i > $i > $o) > $i > $i).
0.74/240.10	thf(decl_169, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.74/240.10	thf(decl_170, type, esk9_1: $i > $i).
0.74/240.10	thf(decl_171, type, esk10_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_172, type, esk11_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_173, type, esk12_1: ($i > $o) > $i).
0.74/240.10	thf(decl_174, type, esk13_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_175, type, esk14_1: ($i > $o) > $i).
0.74/240.10	thf(decl_176, type, esk15_2: $i > $i > $i).
0.74/240.10	thf(decl_177, type, esk16_2: $i > $i > $i).
0.74/240.10	thf(decl_178, type, esk17_1: $i > $i).
0.74/240.10	thf(decl_179, type, esk18_1: $i > $i).
0.74/240.10	thf(decl_180, type, esk19_1: $i > $i).
0.74/240.10	thf(decl_181, type, esk20_2: $i > $i > $i).
0.74/240.10	thf(decl_182, type, esk21_3: $i > $i > $o > $i).
0.74/240.10	thf(decl_183, type, esk22_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_184, type, esk23_1: ($i > $o) > $i).
0.74/240.10	thf(decl_185, type, esk24_1: $i > $i).
0.74/240.10	thf(decl_186, type, esk25_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_187, type, esk26_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_188, type, esk27_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_189, type, esk28_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_190, type, esk29_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_191, type, esk30_2: $i > ($i > $o) > $i).
0.74/240.10	thf(decl_192, type, esk31_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_193, type, esk32_1: ($i > $o) > $i).
0.74/240.10	thf(decl_194, type, esk33_1: ($i > $o) > $i).
0.74/240.10	thf(decl_195, type, esk34_1: ($i > $o) > $i).
0.74/240.10	thf(decl_196, type, esk35_1: ($i > $o) > $i).
0.74/240.10	thf(decl_197, type, esk36_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_198, type, esk37_1: ($i > $o) > $i).
0.74/240.10	thf(decl_199, type, esk38_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_200, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_201, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_202, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.74/240.10	thf(decl_203, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_204, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.74/240.10	thf(decl_205, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_206, type, esk45_2: ($i > $o) > $i > $i).
0.74/240.10	thf(decl_207, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_208, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_209, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.74/240.10	thf(decl_210, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.74/240.10	thf(decl_211, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_212, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.74/240.10	thf(decl_213, type, esk52_2: $i > $i > $i).
0.74/240.10	thf(decl_214, type, esk53_2: $i > $i > $i).
0.74/240.10	thf(decl_215, type, esk54_2: $i > $i > $i).
0.74/240.10	thf(decl_216, type, esk55_0: $i).
0.74/240.10	thf(decl_217, type, esk56_0: $i).
0.74/240.10	thf(decl_218, type, esk57_0: $i).
0.74/240.10	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', nonemptyI)).
0.74/240.10	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', nonempty)).
0.74/240.10	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuE3e)).
0.74/240.10	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exu)).
0.74/240.10	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', descrp)).
0.74/240.10	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuI1)).
0.74/240.10	thf(setminus, axiom, ((setminus)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:(~((in @ X2 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setminus)).
0.74/240.10	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuE3u)).
0.74/240.10	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exu__Cong)).
0.74/240.10	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', descr__Cong)).
0.74/240.10	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuEu)).
0.74/240.10	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.w6ZvuZcMY9/E---3.1_11783.p', exuI2)).
0.74/240.10	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuI3)).
0.74/240.10	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', exuE2)).
0.74/240.10	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.w6ZvuZcMY9/E---3.1_11783.p', exuE1)).
0.74/240.10	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', replAx)).
0.74/240.10	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setoftrueEq)).
0.74/240.10	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', dsetconstrI)).
0.74/240.10	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', sepInPowerset)).
0.74/240.10	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', sepSubset)).
0.74/240.10	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setminusI)).
0.74/240.10	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setminusEL)).
0.74/240.10	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', dsetconstr__Cong)).
0.74/240.10	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.w6ZvuZcMY9/E---3.1_11783.p', emptyE1)).
0.74/240.10	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', nonemptyImpWitness)).
0.74/240.10	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', nonemptyI1)).
0.74/240.10	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', nonemptyE1)).
0.74/240.10	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setbeta)).
0.74/240.10	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', dsetconstrER)).
0.74/240.10	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', dsetconstrEL)).
0.74/240.10	thf(setminusER, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((((replAx)=>((((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>(((setadjoinIR)=>((setadjoinE)=>(((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((((singletonsswitch)=>((((((((quantDeMorgan2)=>((((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((((((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>(((((((subsetI1)=>((eqimpsubset2)=>((((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>(((notequalI2)=>((((setadjoinSub)=>((setadjoinSub2)=>((((((powersetE1)=>((((sepInPowerset)=>((sepSubset)=>(((((binunionEcases)=>((binunionE)=>((binunionLsub)=>(((binintersectI)=>(((((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>(((binintersectSubset4)=>((binintersectSubset1)=>(((setminusI)=>(![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X5))<=(in @ X2 @ (setminus @ X4 @ X5))))<=(setminusEL)))<=(bs114d))))<=(binintersectRsub))))))<=(binintersectLsub))<=(binintersectEL))<=(binintersectSubset5)))<=(binunionRsub)))))<=(binunionIR))<=(upairset2IR))<=(binunionIL))))<=(powersetsubset))<=(inPowerset)))<=(powersetI1))<=(subsetemptysetimpeq))<=(setextsub))<=(subset2powerset))))<=(subsetTrans))<=(subsetRefl)))<=(notequalI1)))<=(subsetE2))))<=(subsetI2))<=(eqimpsubset1))))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong))<=(setunion__Cong)))))))<=(in__Cong))<=(inCongP))<=(exuI2))<=(exuI3)))))))<=(quantDeMorgan4))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE))))))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr))))<=(emptyinunitempty))))<=(nonemptyI))))))<=(setext))<=(exuE3e))))<=(emptysetE))<=(prop2setE)))))<=(dsetconstrI))<=(descrp))<=(wellorderingAx))<=(foundationAx)))<=(omegaIndAx))<=(omegaSAx))))))<=(emptysetAx))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setminusER)).
0.74/240.10	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptysetAx)).
0.74/240.10	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notinsingleton)).
0.74/240.10	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notdexE)).
0.74/240.10	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', uniqinunit)).
0.74/240.10	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setunionE)).
0.74/240.10	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetI)).
0.74/240.10	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptyset__Cong)).
0.74/240.10	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinOr)).
0.74/240.10	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoin__Cong)).
0.74/240.10	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptyinunitempty)).
0.74/240.10	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setext)).
0.74/240.10	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powerset__Cong)).
0.74/240.10	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptysetE)).
0.74/240.10	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetI1)).
0.74/240.10	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', prop2setE)).
0.74/240.10	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notdallE)).
0.74/240.10	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.w6ZvuZcMY9/E---3.1_11783.p', wellorderingAx)).
0.74/240.10	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', eqimpsubset2)).
0.74/240.10	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.w6ZvuZcMY9/E---3.1_11783.p', foundationAx)).
0.74/240.10	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', omegaIndAx)).
0.74/240.10	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptysetsubset)).
0.74/240.10	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', omegaSAx)).
0.74/240.10	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', disjointsetsI1)).
0.74/240.10	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetE)).
0.74/240.10	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notsubsetI)).
0.74/240.10	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notequalI2)).
0.74/240.10	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinSub)).
0.74/240.10	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinSub2)).
0.74/240.10	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetE1)).
0.74/240.10	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionEcases)).
0.74/240.10	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionE)).
0.74/240.10	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionLsub)).
0.74/240.10	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectI)).
0.74/240.10	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectSubset2)).
0.74/240.10	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectSubset3)).
0.74/240.10	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectER)).
0.74/240.10	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectSubset4)).
0.74/240.10	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectSubset1)).
0.74/240.10	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', bs114d)).
0.74/240.10	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectRsub)).
0.74/240.10	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectLsub)).
0.74/240.10	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectEL)).
0.74/240.10	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binintersectSubset5)).
0.74/240.10	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionRsub)).
0.74/240.10	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionIR)).
0.74/240.10	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', upairset2IR)).
0.74/240.10	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', binunionIL)).
0.74/240.10	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetsubset)).
0.74/240.10	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', inPowerset)).
0.74/240.10	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetI1)).
0.74/240.10	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetemptysetimpeq)).
0.74/240.10	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setextsub)).
0.74/240.10	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subset2powerset)).
0.74/240.10	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetTrans)).
0.74/240.10	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetRefl)).
0.74/240.10	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notequalI1)).
0.74/240.10	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetE2)).
0.74/240.10	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subsetI2)).
0.74/240.10	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', eqimpsubset1)).
0.74/240.10	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', omega__Cong)).
0.74/240.10	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setunion__Cong)).
0.74/240.10	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.w6ZvuZcMY9/E---3.1_11783.p', in__Cong)).
0.74/240.10	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.w6ZvuZcMY9/E---3.1_11783.p', inCongP)).
0.74/240.10	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', quantDeMorgan4)).
0.74/240.10	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', quantDeMorgan3)).
0.74/240.10	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', quantDeMorgan1)).
0.74/240.10	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', vacuousDall)).
0.74/240.10	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', upairsetIR)).
0.74/240.10	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', upairsetIL)).
0.74/240.10	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', upairsetE)).
0.74/240.10	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', eqinunit)).
0.74/240.10	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', prop2setI)).
0.74/240.10	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', quantDeMorgan2)).
0.74/240.10	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', singletonsswitch)).
0.74/240.10	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', subPowSU)).
0.74/240.10	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setunionI)).
0.74/240.10	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetE)).
0.74/240.10	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptyInPowerset)).
0.74/240.10	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptyinPowerset)).
0.74/240.10	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinE)).
0.74/240.10	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinIR)).
0.74/240.10	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinIL)).
0.74/240.10	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', noeltsimpempty)).
0.74/240.10	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptyI)).
0.74/240.10	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', notinemptyset)).
0.74/240.10	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', emptysetimpfalse)).
0.74/240.10	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', omega0Ax)).
0.74/240.10	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setunionAx)).
0.74/240.10	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', powersetAx)).
0.74/240.10	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setadjoinAx)).
0.74/240.10	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.w6ZvuZcMY9/E---3.1_11783.p', setextAx)).
0.74/240.10	thf(c_0_122, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.74/240.10	thf(c_0_123, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.74/240.10	thf(c_0_124, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.74/240.10	thf(c_0_125, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.74/240.10	thf(c_0_126, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.74/240.10	thf(c_0_127, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.74/240.10	thf(c_0_128, plain, ((setminus)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ Z0 @ (^[Z2/* 7 */:$i]:(~((in @ Z2 @ Z1))))))), inference(fof_simplification,[status(thm)],[setminus])).
0.74/240.10	thf(c_0_129, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.74/240.10	thf(c_0_130, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.74/240.10	thf(c_0_131, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.74/240.10	thf(c_0_132, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.74/240.10	thf(c_0_133, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.74/240.10	thf(c_0_134, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.74/240.10	thf(c_0_135, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.74/240.10	thf(c_0_136, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.74/240.10	thf(c_0_137, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.74/240.10	thf(c_0_138, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.74/240.10	thf(c_0_139, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_123])).
0.74/240.10	thf(c_0_140, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X345:$i]:((((X1 @ X345))&![X346:$i]:((((X1 @ X346))=>((X345)=(X346)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_124, c_0_125])).
0.74/240.10	thf(c_0_141, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.74/240.10	thf(c_0_142, plain, ((descrp)=(![X1:$i > $o]:(((?[X341:$i]:((((X1 @ X341))&![X342:$i]:((((X1 @ X342))=>((X341)=(X342)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_125])).
0.74/240.10	thf(c_0_143, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X349:$i]:((((X1 @ X349))&![X350:$i]:((((X1 @ X350))=>((X349)=(X350))))))))))), inference(apply_def,[status(thm)],[c_0_127, c_0_125])).
0.74/240.10	thf(c_0_144, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.74/240.10	thf(c_0_145, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.74/240.10	thf(c_0_146, axiom, ((setminusI)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))))))), inference(apply_def,[status(thm)],[setminusI, c_0_128])).
0.74/240.10	thf(c_0_147, axiom, ((setminusEL)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))=>(in @ X2 @ X4))))), inference(apply_def,[status(thm)],[setminusEL, c_0_128])).
0.74/240.10	thf(c_0_148, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X355:$i]:((((X1 @ X355))&![X356:$i]:((((X1 @ X356))=>((X355)=(X356)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_125])).
0.74/240.10	thf(c_0_149, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X357:$i]:((((X1 @ X357))&![X358:$i]:((((X1 @ X358))=>((X357)=(X358)))))))<=>(?[X359:$i]:((((X17 @ X359))&![X360:$i]:((((X17 @ X360))=>((X359)=(X360)))))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_125])).
0.74/240.10	thf(c_0_150, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.74/240.10	thf(c_0_151, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X363:$i]:((((X1 @ X363))&![X364:$i]:((((X1 @ X364))=>((X363)=(X364)))))))=>((?[X365:$i]:((((X17 @ X365))&![X366:$i]:((((X17 @ X366))=>((X365)=(X366)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_125])).
0.74/240.10	thf(c_0_152, plain, ((exuEu)=(![X1:$i > $o]:(((?[X361:$i]:((((X1 @ X361))&![X362:$i]:((((X1 @ X362))=>((X361)=(X362)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_125])).
0.74/240.10	thf(c_0_153, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X353:$i]:((((X1 @ X353))&![X354:$i]:((((X1 @ X354))=>((X353)=(X354))))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_125])).
0.74/240.10	thf(c_0_154, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X351:$i]:((((X1 @ X351))&![X352:$i]:((((X1 @ X352))=>((X351)=(X352)))))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_125])).
0.74/240.10	thf(c_0_155, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.74/240.10	thf(c_0_156, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_123])).
0.74/240.10	thf(c_0_157, plain, ((exuE2)=(![X1:$i > $o]:(((?[X347:$i]:((((X1 @ X347))&![X348:$i]:((((X1 @ X348))=>((X347)=(X348)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_125])).
0.74/240.10	thf(c_0_158, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_123])).
0.74/240.10	thf(c_0_159, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_123])).
0.74/240.10	thf(c_0_160, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.74/240.10	thf(c_0_161, plain, ((exuE1)=(![X1:$i > $o]:(((?[X343:$i]:((((X1 @ X343))&![X344:$i]:((((X1 @ X344))=>((X343)=(X344)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_125])).
0.74/240.10	thf(c_0_162, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.74/240.10	thf(c_0_163, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.74/240.10	thf(c_0_164, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X339:$i]:((((X6 @ X2 @ X339))&![X340:$i]:((((X6 @ X2 @ X340))=>((X339)=(X340)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_125])).
0.74/240.10	thf(c_0_165, plain, ((epred1_0)<=>![X683:$i]:(?[X684:$i]:((((![X685:$i]:(((in @ X685 @ X684)=>![X686:$i]:(((in @ X686 @ X685)=>(in @ X686 @ X683)))))&![X687:$i, X688:$i]:((((in @ X687 @ X683)&(in @ X688 @ X683))=>(![X689:$i]:(((in @ X689 @ X684)=>((in @ X687 @ X689)<=>(in @ X688 @ X689))))=>((X687)=(X688))))))&![X690:$i, X691:$i]:((((in @ X690 @ X684)&(in @ X691 @ X684))=>(![X692:$i]:(((in @ X692 @ X690)=>(in @ X692 @ X691)))|![X693:$i]:(((in @ X693 @ X691)=>(in @ X693 @ X690)))))))&![X694:$i]:(((![X695:$i]:(((in @ X695 @ X694)=>(in @ X695 @ X683)))&?[X696:$i]:((in @ X696 @ X694)))=>?[X697:$i, X698:$i]:(((((in @ X697 @ X684)&(in @ X698 @ X694))&~(?[X699:$i]:(((in @ X699 @ X697)&(in @ X699 @ X694)))))&![X700:$i]:(((in @ X700 @ X684)=>(![X701:$i]:(((in @ X701 @ X700)=>(in @ X701 @ X697)))|(in @ X698 @ X700)))))))))))), introduced(definition)).
0.74/240.10	thf(c_0_166, negated_conjecture, ~((![X367:$i, X368:$i]:((![X369:$i]:(((in @ X369 @ X367)<=>(in @ X369 @ X368)))=>((X367)=(X368))))=>(![X710:$i]:(~(in @ X710 @ emptyset))=>(![X370:$i, X371:$i, X372:$i]:(((in @ X372 @ (setadjoin @ X370 @ X371))<=>(((X372)=(X370))|(in @ X372 @ X371))))=>(![X373:$i, X374:$i]:(((in @ X374 @ (powerset @ X373))<=>![X375:$i]:(((in @ X375 @ X374)=>(in @ X375 @ X373)))))=>(![X376:$i, X377:$i]:(((in @ X377 @ (setunion @ X376))<=>?[X378:$i]:(((in @ X377 @ X378)&(in @ X378 @ X376)))))=>((in @ emptyset @ omega)=>(![X709:$i]:(((in @ X709 @ omega)=>(in @ (setadjoin @ X709 @ X709) @ omega)))=>(![X706:$i]:((((in @ emptyset @ X706)&![X707:$i]:((((in @ X707 @ omega)&(in @ X707 @ X706))=>(in @ (setadjoin @ X707 @ X707) @ X706))))=>![X708:$i]:(((in @ X708 @ omega)=>(in @ X708 @ X706)))))=>(![X379:$i > $i > $o, X380:$i]:((![X381:$i]:(((in @ X381 @ X380)=>?[X382:$i]:(((X379 @ X381 @ X382)&![X383:$i]:(((X379 @ X381 @ X383)=>((X382)=(X383))))))))=>?[X384:$i]:(![X385:$i]:(((in @ X385 @ X384)<=>?[X386:$i]:(((in @ X386 @ X380)&(X379 @ X386 @ X385))))))))=>(![X702:$i]:((?[X703:$i]:((in @ X703 @ X702))=>?[X704:$i]:(((in @ X704 @ X702)&~(?[X705:$i]:(((in @ X705 @ X704)&(in @ X705 @ X702))))))))=>((epred1_0)=>(![X680:$i > $o]:((?[X681:$i]:(((X680 @ X681)&![X682:$i]:(((X680 @ X682)=>((X681)=(X682))))))=>(X680 @ (descr @ (^[Z0/* 17 */:$i]:(X680 @ Z0))))))=>(![X677:$i, X678:$i > $o, X679:$i]:(((in @ X679 @ X677)=>((X678 @ X679)=>(in @ X679 @ (dsetconstr @ X677 @ X678)))))=>(![X387:$i, X388:$i > $o, X389:$i]:(((in @ X389 @ (dsetconstr @ X387 @ X388))=>(in @ X389 @ X387)))=>(![X390:$i, X391:$i > $o, X392:$i]:(((in @ X392 @ (dsetconstr @ X390 @ X391))=>(X391 @ X392)))=>(![X393:$i > $o]:((?[X394:$i]:(((X393 @ X394)&![X395:$i]:(((X393 @ X395)=>((X394)=(X395))))))=>?[X396:$i]:(((X393 @ X396)&![X397:$i]:(((X393 @ X397)=>((X396)=(X397))))))))=>(![X675:$o, X676:$i]:(((in @ X676 @ (prop2set @ ((X675))))=>(X675)))=>(![X673:$i]:(((in @ X673 @ emptyset)=>![X674:$o]:((X674))))=>(![X398:$i]:(((in @ X398 @ emptyset)=>~($true)))=>(![X399:$i]:(~(in @ X399 @ emptyset))=>(![X669:$i > $o]:((?[X670:$i]:(((X669 @ X670)&![X671:$i]:(((X669 @ X671)=>((X670)=(X671))))))=>?[X672:$i]:((X669 @ X672))))=>(![X665:$i, X666:$i]:((![X667:$i]:(((in @ X667 @ X665)=>(in @ X667 @ X666)))=>(![X668:$i]:(((in @ X668 @ X666)=>(in @ X668 @ X665)))=>((X665)=(X666)))))=>(![X400:$i]:((![X401:$i]:(~(in @ X401 @ X400))=>((X400)=(emptyset))))=>(![X402:$i]:((![X403:$i]:(~(in @ X403 @ X402))=>((X402)=(emptyset))))=>(![X404:$i, X405:$i > $o, X406:$i]:(((in @ X406 @ X404)=>((in @ X406 @ (dsetconstr @ X404 @ X405))<=>(X405 @ X406))))=>(![X407:$i]:((((X407)!=(emptyset))=>?[X408:$i]:((in @ X408 @ X407))))=>(![X662:$i, X663:$i > $o, X664:$i]:(((in @ X664 @ X662)=>((X663 @ X664)=>((dsetconstr @ X662 @ X663)!=(emptyset)))))=>(![X409:$i]:((?[X410:$i]:((in @ X410 @ X409))=>((X409)!=(emptyset))))=>(![X411:$i, X412:$i]:((in @ X411 @ (setadjoin @ X411 @ X412)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X413:$i, X414:$i, X415:$i]:(((in @ X415 @ X414)=>(in @ X415 @ (setadjoin @ X413 @ X414))))=>(![X416:$i, X417:$i, X418:$i]:(((in @ X418 @ (setadjoin @ X416 @ X417))=>![X419:$o]:(((((X418)=(X416))=>(X419))=>(((in @ X418 @ X417)=>(X419))=>(X419))))))=>(![X659:$i, X660:$i, X661:$i]:(((in @ X661 @ (setadjoin @ X659 @ X660))=>(((X661)=(X659))|(in @ X661 @ X660))))=>(![X658:$i]:(((dsetconstr @ X658 @ (^[Z0/* 1 */:$i]:($true)))=(X658)))=>(![X655:$i, X656:$i]:((![X657:$i]:(((in @ X657 @ X656)=>(in @ X657 @ X655)))=>(in @ X656 @ (powerset @ X655))))=>(![X420:$i]:((in @ emptyset @ (powerset @ X420)))=>(![X421:$i]:((in @ emptyset @ (powerset @ X421)))=>(![X422:$i, X423:$i, X424:$i]:(((in @ X423 @ (powerset @ X422))=>((in @ X424 @ X423)=>(in @ X424 @ X422))))=>(![X425:$i, X426:$i, X427:$i]:(((in @ X426 @ X427)=>((in @ X427 @ X425)=>(in @ X426 @ (setunion @ X425)))))=>(![X651:$i, X652:$i]:(((in @ X652 @ (setunion @ X651))=>![X653:$o]:((![X654:$i]:(((in @ X652 @ X654)=>((in @ X654 @ X651)=>(X653))))=>(X653)))))=>(![X428:$i, X429:$i]:(((in @ X429 @ X428)=>(in @ X429 @ (powerset @ (setunion @ X428)))))=>(![X430:$i > $o]:((?[X431:$i]:(((X430 @ X431)&![X432:$i]:(((X430 @ X432)=>((X431)=(X432))))))=>?[X433:$i]:(![X434:$i]:(((X430 @ X434)<=>((X434)=(X433)))))))=>(![X435:$i]:((((X435)!=(emptyset))=>?[X436:$i]:(((in @ X436 @ X435)&$true))))=>(![X649:$i, X650:$i]:(((in @ X649 @ (setadjoin @ X650 @ emptyset))=>((X649)=(X650))))=>(![X647:$i, X648:$i]:((((X647)!=(X648))=>~(in @ X648 @ (setadjoin @ X647 @ emptyset))))=>(![X645:$i, X646:$i]:((((X645)=(X646))=>(in @ X645 @ (setadjoin @ X646 @ emptyset))))=>(![X437:$i, X438:$i]:(((in @ X437 @ (setadjoin @ X438 @ emptyset))=>(in @ X438 @ (setadjoin @ X437 @ emptyset))))=>(![X642:$i, X643:$i, X644:$i]:(((in @ X644 @ (setadjoin @ X642 @ (setadjoin @ X643 @ emptyset)))=>(((X644)=(X642))|((X644)=(X643)))))=>(![X640:$i, X641:$i]:((in @ X640 @ (setadjoin @ X640 @ (setadjoin @ X641 @ emptyset))))=>(![X638:$i, X639:$i]:((in @ X639 @ (setadjoin @ X638 @ (setadjoin @ X639 @ emptyset))))=>(![X635:$i, X636:$i > $o]:((?[X637:$i]:(((in @ X637 @ X635)&(X636 @ X637)))=>(((dsetconstr @ X635 @ X636)=(emptyset))=>~($true))))=>(![X633:$i > $o, X634:$i]:(((in @ X634 @ emptyset)=>(X633 @ X634)))=>(![X629:$i, X630:$i > $o]:((~(![X631:$i]:(((in @ X631 @ X629)=>(X630 @ X631))))=>?[X632:$i]:(((in @ X632 @ X629)&~((X630 @ X632))))))=>(![X439:$i, X440:$i > $o]:((![X441:$i]:(((in @ X441 @ X439)=>~((X440 @ X441))))=>~(?[X442:$i]:(((in @ X442 @ X439)&(X440 @ X442))))))=>(![X625:$i, X626:$i > $o]:((~(?[X627:$i]:(((in @ X627 @ X625)&(X626 @ X627))))=>![X628:$i]:(((in @ X628 @ X625)=>~((X626 @ X628))))))=>(![X621:$i, X622:$i > $o]:((?[X623:$i]:(((in @ X623 @ X621)&~((X622 @ X623))))=>~(![X624:$i]:(((in @ X624 @ X621)=>(X622 @ X624))))))=>(![X443:$o]:(((X443)=>(in @ emptyset @ (prop2set @ ((X443))))))=>((prop2set2propI)=>(![X444:$i, X445:$i > $o]:((~(?[X446:$i]:(((in @ X446 @ X444)&(X445 @ X446))))=>![X447:$i]:(((in @ X447 @ X444)=>~((X445 @ X447))))))=>(![X448:$i, X449:$i > $o]:((~(![X450:$i]:(((in @ X450 @ X448)=>(X449 @ X450))))=>?[X451:$i]:(((in @ X451 @ X448)&~((X449 @ X451))))))=>(![X452:$i > $o]:((?[X453:$i]:(((X452 @ X453)&![X454:$i]:(((X452 @ X454)=>((X453)=(X454))))))=>?[X455:$i]:(((X452 @ X455)&![X456:$i]:(((X452 @ X456)=>((X455)=(X456))))))))=>(![X615:$i > $o]:((?[X616:$i]:((X615 @ X616))=>(![X617:$i, X618:$i]:(((X615 @ X617)=>((X615 @ X618)=>((X617)=(X618)))))=>?[X619:$i]:(((X615 @ X619)&![X620:$i]:(((X615 @ X620)=>((X619)=(X620)))))))))=>(![X610:$i > $o]:((?[X611:$i]:(![X612:$i]:(((X610 @ X612)<=>((X612)=(X611)))))=>?[X613:$i]:(((X610 @ X613)&![X614:$i]:(((X610 @ X614)=>((X613)=(X614))))))))=>(![X606:$i, X607:$i]:((((X606)=(X607))=>![X608:$i, X609:$i]:((((X608)=(X609))=>((in @ X608 @ X606)=>(in @ X609 @ X607))))))=>(![X602:$i, X603:$i]:((((X602)=(X603))=>![X604:$i, X605:$i]:((((X604)=(X605))=>((in @ X604 @ X602)<=>(in @ X605 @ X603))))))=>(![X457:$i > $o]:((?[X458:$i]:(((X457 @ X458)&![X459:$i]:(((X457 @ X459)=>((X458)=(X459))))))=>![X460:$i, X461:$i]:(((X457 @ X460)=>((X457 @ X461)=>((X460)=(X461)))))))=>(![X462:$i > $o, X463:$i > $o]:((![X464:$i, X465:$i]:((((X464)=(X465))=>((X462 @ X464)<=>(X463 @ X465))))=>(?[X466:$i]:(((X462 @ X466)&![X467:$i]:(((X462 @ X467)=>((X466)=(X467))))))<=>?[X468:$i]:(((X463 @ X468)&![X469:$i]:(((X463 @ X469)=>((X468)=(X469)))))))))=>(((emptyset)=(emptyset))=>(![X470:$i, X471:$i]:((((X470)=(X471))=>![X472:$i, X473:$i]:((((X472)=(X473))=>((setadjoin @ X470 @ X472)=(setadjoin @ X471 @ X473))))))=>(![X474:$i, X475:$i]:((((X474)=(X475))=>((powerset @ X474)=(powerset @ X475))))=>(![X600:$i, X601:$i]:((((X600)=(X601))=>((setunion @ X600)=(setunion @ X601))))=>(((omega)=(omega))=>(![X595:$i > $o]:((?[X596:$i]:(((X595 @ X596)&![X597:$i]:(((X595 @ X597)=>((X596)=(X597))))))=>![X598:$i, X599:$i]:(((X595 @ X598)=>((X595 @ X599)=>((X598)=(X599)))))))=>(![X587:$i > $o, X588:$i > $o]:((![X589:$i, X590:$i]:((((X589)=(X590))=>((X587 @ X589)<=>(X588 @ X590))))=>(?[X591:$i]:(((X587 @ X591)&![X592:$i]:(((X587 @ X592)=>((X591)=(X592))))))=>(?[X593:$i]:(((X588 @ X593)&![X594:$i]:(((X588 @ X594)=>((X593)=(X594))))))=>((descr @ X587)=(descr @ X588))))))=>(![X581:$i, X582:$i]:((((X581)=(X582))=>![X583:$i > $o, X584:$i > $o]:((![X585:$i]:(((in @ X585 @ X581)=>![X586:$i]:(((in @ X586 @ X582)=>(((X585)=(X586))=>((X583 @ X585)<=>(X584 @ X586)))))))=>((dsetconstr @ X581 @ X583)=(dsetconstr @ X582 @ X584))))))=>(![X476:$i, X477:$i]:((![X478:$i]:(((in @ X478 @ X476)=>(in @ X478 @ X477)))=>(subset @ X476 @ X477)))=>(![X479:$i, X480:$i]:((((X479)=(X480))=>(subset @ X480 @ X479)))=>(![X579:$i, X580:$i]:((((X579)=(X580))=>(subset @ X579 @ X580)))=>(![X576:$i, X577:$i]:((![X578:$i]:(((in @ X578 @ X576)=>(in @ X578 @ X577)))=>(subset @ X576 @ X577)))=>(![X481:$i]:((subset @ emptyset @ X481))=>(![X482:$i, X483:$i, X484:$i]:(((subset @ X482 @ X483)=>((in @ X484 @ X482)=>(in @ X484 @ X483))))=>(![X573:$i, X574:$i, X575:$i]:(((subset @ X573 @ X574)=>(~(in @ X575 @ X574)=>~(in @ X575 @ X573))))=>(![X485:$i, X486:$i, X487:$i]:(((in @ X487 @ X485)=>(~(in @ X487 @ X486)=>~(subset @ X485 @ X486))))=>(![X571:$i, X572:$i]:((~(subset @ X571 @ X572)=>((X571)!=(X572))))=>(![X488:$i, X489:$i, X490:$i]:(((in @ X490 @ X488)=>(~(in @ X490 @ X489)=>((X488)!=(X489)))))=>(![X570:$i]:((subset @ X570 @ X570))=>(![X567:$i, X568:$i, X569:$i]:(((subset @ X567 @ X568)=>((subset @ X568 @ X569)=>(subset @ X567 @ X569))))=>(![X491:$i, X492:$i]:((subset @ X492 @ (setadjoin @ X491 @ X492)))=>(![X493:$i, X494:$i, X495:$i]:(((subset @ X493 @ X495)=>(subset @ X493 @ (setadjoin @ X494 @ X495))))=>(![X565:$i, X566:$i]:(((subset @ X565 @ X566)=>(in @ X565 @ (powerset @ X566))))=>(![X563:$i, X564:$i]:(((subset @ X563 @ X564)=>((subset @ X564 @ X563)=>((X563)=(X564)))))=>(![X562:$i]:(((subset @ X562 @ emptyset)=>((X562)=(emptyset))))=>(![X560:$i, X561:$i]:(((subset @ X561 @ X560)=>(in @ X561 @ (powerset @ X560))))=>(![X496:$i, X497:$i]:(((in @ X497 @ (powerset @ X496))=>(subset @ X497 @ X496)))=>(![X559:$i]:((in @ X559 @ (powerset @ X559)))=>(![X557:$i, X558:$i]:(((subset @ X557 @ X558)=>(subset @ (powerset @ X557) @ (powerset @ X558))))=>(![X498:$i, X499:$i > $o]:((in @ (dsetconstr @ X498 @ X499) @ (powerset @ X498)))=>(![X500:$i, X501:$i > $o]:((subset @ (dsetconstr @ X500 @ X501) @ X500))=>(![X554:$i, X555:$i, X556:$i]:(((in @ X556 @ X554)=>(in @ X556 @ (binunion @ X554 @ X555))))=>(![X552:$i, X553:$i]:((in @ X553 @ (setadjoin @ X552 @ (setadjoin @ X553 @ emptyset))))=>(![X549:$i, X550:$i, X551:$i]:(((in @ X551 @ X550)=>(in @ X551 @ (binunion @ X549 @ X550))))=>(![X502:$i, X503:$i, X504:$i, X505:$o]:(((in @ X504 @ (binunion @ X502 @ X503))=>(((in @ X504 @ X502)=>(X505))=>(((in @ X504 @ X503)=>(X505))=>(X505)))))=>(![X506:$i, X507:$i, X508:$i]:(((in @ X508 @ (binunion @ X506 @ X507))=>((in @ X508 @ X506)|(in @ X508 @ X507))))=>(![X509:$i, X510:$i]:((subset @ X509 @ (binunion @ X509 @ X510)))=>(![X547:$i, X548:$i]:((subset @ X548 @ (binunion @ X547 @ X548)))=>(![X511:$i, X512:$i, X513:$i]:(((in @ X513 @ X511)=>((in @ X513 @ X512)=>(in @ X513 @ (binintersect @ X511 @ X512)))))=>(![X544:$i, X545:$i, X546:$i]:(((subset @ X546 @ X544)=>((subset @ X546 @ X545)=>(subset @ X546 @ (binintersect @ X544 @ X545)))))=>(![X541:$i, X542:$i, X543:$i]:(((in @ X543 @ (binintersect @ X541 @ X542))=>(in @ X543 @ X541)))=>(![X539:$i, X540:$i]:((subset @ (binintersect @ X539 @ X540) @ X539))=>(![X514:$i, X515:$i]:(((subset @ X514 @ X515)=>((binintersect @ X514 @ X515)=(X514))))=>(![X516:$i, X517:$i]:((((binintersect @ X516 @ X517)=(X517))=>(subset @ X517 @ X516)))=>(![X518:$i, X519:$i, X520:$i]:(((in @ X520 @ (binintersect @ X518 @ X519))=>(in @ X520 @ X519)))=>(![X521:$i, X522:$i]:((~(?[X523:$i]:(((in @ X523 @ X521)&(in @ X523 @ X522))))=>((binintersect @ X521 @ X522)=(emptyset))))=>(![X537:$i, X538:$i]:((subset @ (binintersect @ X537 @ X538) @ X538))=>(![X524:$i, X525:$i]:(((subset @ X525 @ X524)=>((binintersect @ X524 @ X525)=(X525))))=>(![X526:$i, X527:$i]:((((binintersect @ X526 @ X527)=(X526))=>(subset @ X526 @ X527)))=>(![X534:$i, X535:$i, X536:$i]:(((binintersect @ X534 @ (binunion @ X535 @ X536))=(binunion @ (binintersect @ X534 @ X535) @ (binintersect @ X534 @ X536))))=>(![X528:$i, X529:$i, X530:$i]:(((in @ X530 @ X528)=>(~(in @ X530 @ X529)=>(in @ X530 @ (dsetconstr @ X528 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X529)))))))))=>(![X531:$i, X532:$i, X533:$i]:(((in @ X533 @ (dsetconstr @ X531 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X532))))))=>(in @ X533 @ X531)))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))=>~(in @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setminusER]), emptysetAx]), notinsingleton]), notdexE]), uniqinunit]), setunionE]), powersetI]), emptyset__Cong]), c_0_138]), setadjoinOr]), setadjoin__Cong]), emptyinunitempty]), c_0_139]), setext]), powerset__Cong]), c_0_140]), emptysetE]), subsetI1]), prop2setE]), c_0_141]), c_0_142]), notdallE]), wellorderingAx]), eqimpsubset2]), foundationAx]), omegaIndAx]), emptysetsubset]), omegaSAx]), disjointsetsI1]), subsetE]), notsubsetI]), c_0_143]), notequalI2]), setadjoinSub]), setadjoinSub2]), powersetE1]), c_0_144]), c_0_145]), binunionEcases]), binunionE]), binunionLsub]), binintersectI]), binintersectSubset2]), binintersectSubset3]), binintersectER]), binintersectSubset4]), binintersectSubset1]), c_0_146]), c_0_128]), c_0_147]), bs114d]), binintersectRsub]), binintersectLsub]), c_0_148]), binintersectEL]), c_0_149]), binintersectSubset5]), binunionRsub]), binunionIR]), upairset2IR]), binunionIL]), powersetsubset]), inPowerset]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), subsetTrans]), subsetRefl]), notequalI1]), subsetE2]), subsetI2]), eqimpsubset1]), c_0_150]), c_0_151]), c_0_152]), omega__Cong]), setunion__Cong]), in__Cong]), inCongP]), c_0_153]), c_0_154]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan1]), vacuousDall]), c_0_155]), upairsetIR]), upairsetIL]), upairsetE]), eqinunit]), prop2setI]), quantDeMorgan2]), singletonsswitch]), c_0_156]), c_0_157]), subPowSU]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), setadjoinE]), setadjoinIR]), setadjoinIL]), c_0_158]), c_0_159]), c_0_160]), noeltsimpempty]), emptyI]), notinemptyset]), emptysetimpfalse]), c_0_161]), c_0_162]), c_0_163]), c_0_164]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), setextAx])])]), c_0_165])).
0.74/240.10	thf(c_0_167, negated_conjecture, ![X711:$i, X712:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X724:$i, X725:$i, X727:$i, X728:$i, X729:$i, X730:$i, X731:$i, X733:$i, X734:$i > $i > $o, X735:$i, X737:$i, X740:$i, X742:$i, X743:$i, X744:$i, X745:$i, X747:$i, X748:$i > $o, X749:$i, X751:$i, X752:$i > $o, X753:$i, X754:$i, X755:$i > $o, X756:$i, X757:$i, X758:$i > $o, X759:$i, X760:$i > $o, X761:$i, X764:$i, X765:$o, X766:$i, X767:$i, X768:$o, X769:$i, X770:$i, X771:$i > $o, X772:$i, X775:$i, X776:$i, X779:$i, X781:$i, X783:$i, X784:$i > $o, X785:$i, X786:$i, X788:$i, X789:$i > $o, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$o, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$o, X821:$i, X822:$i, X823:$i > $o, X824:$i, X827:$i, X828:$i, X829:$i, X831:$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 > $o, X848:$i, X849:$i > $o, X850:$i, X851:$i, X852:$i > $o, X853:$i, X855:$i, X856:$i > $o, X858:$i, X859:$i, X860:$i > $o, X862:$i, X863:$i, X864:$i > $o, X865:$i, X867:$o, X868:$i, X869:$i > $o, X871:$i, X872:$i, X873:$i > $o, X874:$i, X876:$i > $o, X877:$i, X880:$i, X881:$i > $o, X882:$i, X886:$i, X887:$i > $o, X888:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i > $o, X901:$i, X903:$i, X904:$i, X905:$i > $o, X906:$i > $o, X909:$i, X912:$i, X913:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i > $o, X926:$i, X928:$i, X929:$i, X930:$i > $o, X931:$i > $o, X934:$i, X936:$i, X938:$i, X939:$i, X940:$i > $o, X941:$i > $o, X944:$i, X945:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i > $o, X992:$i, X993:$i > $o, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$o, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i]:((((~(in @ (esk1_2 @ X711 @ X712) @ X711)|~(in @ (esk1_2 @ X711 @ X712) @ X712)|((X711)=(X712)))&((in @ (esk1_2 @ X711 @ X712) @ X711)|(in @ (esk1_2 @ X711 @ X712) @ X712)|((X711)=(X712))))&(~(in @ X714 @ emptyset)&(((~(in @ X717 @ (setadjoin @ X715 @ X716))|(((X717)=(X715))|(in @ X717 @ X716)))&((((X717)!=(X715))|(in @ X717 @ (setadjoin @ X715 @ X716)))&(~(in @ X717 @ X716)|(in @ X717 @ (setadjoin @ X715 @ X716)))))&(((~(in @ X719 @ (powerset @ X718))|(~(in @ X720 @ X719)|(in @ X720 @ X718)))&(((in @ (esk2_2 @ X721 @ X722) @ X722)|(in @ X722 @ (powerset @ X721)))&(~(in @ (esk2_2 @ X721 @ X722) @ X721)|(in @ X722 @ (powerset @ X721)))))&(((((in @ X725 @ (esk3_2 @ X724 @ X725))|~(in @ X725 @ (setunion @ X724)))&((in @ (esk3_2 @ X724 @ X725) @ X724)|~(in @ X725 @ (setunion @ X724))))&(~(in @ X728 @ X729)|~(in @ X729 @ X727)|(in @ X728 @ (setunion @ X727))))&((in @ emptyset @ omega)&((~(in @ X730 @ omega)|(in @ (setadjoin @ X730 @ X730) @ omega))&(((((in @ (esk4_1 @ X731) @ omega)|~(in @ emptyset @ X731)|(~(in @ X733 @ omega)|(in @ X733 @ X731)))&((in @ (esk4_1 @ X731) @ X731)|~(in @ emptyset @ X731)|(~(in @ X733 @ omega)|(in @ X733 @ X731))))&(~(in @ 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X913))|~(X906 @ X913))|((X905 @ (esk39_2 @ X905 @ X906))|(X906 @ (esk40_2 @ X905 @ X906))))&(~(X905 @ X916)|((esk44_2 @ X905 @ X906)=(X916))|((X906 @ (esk43_3 @ X905 @ X906 @ X913))|~(X906 @ X913))|((X905 @ (esk39_2 @ X905 @ X906))|(X906 @ (esk40_2 @ X905 @ X906)))))&(((X905 @ (esk44_2 @ X905 @ X906))|(((X913)!=(esk43_3 @ X905 @ X906 @ X913))|~(X906 @ X913))|((X905 @ (esk39_2 @ X905 @ X906))|(X906 @ (esk40_2 @ X905 @ X906))))&(~(X905 @ X916)|((esk44_2 @ X905 @ X906)=(X916))|(((X913)!=(esk43_3 @ X905 @ X906 @ X913))|~(X906 @ X913))|((X905 @ (esk39_2 @ X905 @ X906))|(X906 @ (esk40_2 @ X905 @ X906)))))))))&(((emptyset)=(emptyset))&((((X917)!=(X918))|(((X919)!=(X920))|((setadjoin @ X917 @ X919)=(setadjoin @ X918 @ X920))))&((((X921)!=(X922))|((powerset @ X921)=(powerset @ X922)))&((((X923)!=(X924))|((setunion @ X923)=(setunion @ X924)))&(((omega)=(omega))&((((X925 @ (esk45_2 @ X925 @ X926))|~(X925 @ X926)|(~(X925 @ X928)|(~(X925 @ X929)|((X928)=(X929)))))&(((X926)!=(esk45_2 @ X925 @ X926))|~(X925 @ X926)|(~(X925 @ X928)|(~(X925 @ X929)|((X928)=(X929))))))&((((((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((esk46_2 @ X930 @ X931)=(esk47_2 @ X930 @ X931)))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((esk46_2 @ X930 @ X931)=(esk47_2 @ X930 @ X931))))&(((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((esk46_2 @ X930 @ X931)=(esk47_2 @ X930 @ X931)))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((esk46_2 @ X930 @ X931)=(esk47_2 @ X930 @ X931)))))&(((((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|(~(X930 @ (esk46_2 @ X930 @ X931))|~(X931 @ (esk47_2 @ X930 @ X931))))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|(~(X930 @ (esk46_2 @ X930 @ X931))|~(X931 @ (esk47_2 @ X930 @ X931)))))&(((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|(~(X930 @ (esk46_2 @ X930 @ X931))|~(X931 @ (esk47_2 @ X930 @ X931))))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|(~(X930 @ (esk46_2 @ X930 @ X931))|~(X931 @ (esk47_2 @ X930 @ X931))))))&((((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((X930 @ (esk46_2 @ X930 @ X931))|(X931 @ (esk47_2 @ X930 @ X931))))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|((X930 @ (esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((X930 @ (esk46_2 @ X930 @ X931))|(X931 @ (esk47_2 @ X930 @ X931)))))&(((X931 @ (esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((X930 @ (esk46_2 @ X930 @ X931))|(X931 @ (esk47_2 @ X930 @ X931))))&(((X936)!=(esk49_3 @ X930 @ X931 @ X936))|~(X931 @ X936)|((descr @ X930)=(descr @ X931))|(((X934)!=(esk48_3 @ X930 @ X931 @ X934))|~(X930 @ X934))|((X930 @ (esk46_2 @ X930 @ X931))|(X931 @ (esk47_2 @ X930 @ X931))))))))&((((in @ (esk50_4 @ X938 @ X939 @ X940 @ X941) @ X938)|((dsetconstr @ X938 @ X940)=(dsetconstr @ X939 @ X941))|((X938)!=(X939)))&(((in @ (esk51_4 @ X938 @ X939 @ X940 @ X941) @ X939)|((dsetconstr @ X938 @ X940)=(dsetconstr @ X939 @ X941))|((X938)!=(X939)))&((((esk50_4 @ X938 @ X939 @ X940 @ X941)=(esk51_4 @ X938 @ X939 @ X940 @ X941))|((dsetconstr @ X938 @ X940)=(dsetconstr @ X939 @ X941))|((X938)!=(X939)))&((~(X940 @ (esk50_4 @ X938 @ X939 @ X940 @ X941))|~(X941 @ (esk51_4 @ X938 @ X939 @ X940 @ X941))|((dsetconstr @ X938 @ X940)=(dsetconstr @ X939 @ X941))|((X938)!=(X939)))&((X940 @ (esk50_4 @ X938 @ X939 @ X940 @ X941))|(X941 @ (esk51_4 @ X938 @ X939 @ X940 @ X941))|((dsetconstr @ X938 @ X940)=(dsetconstr @ X939 @ X941))|((X938)!=(X939)))))))&((((in @ (esk52_2 @ X944 @ X945) @ X944)|(subset @ X944 @ X945))&(~(in @ (esk52_2 @ X944 @ X945) @ X945)|(subset @ X944 @ X945)))&((((X947)!=(X948))|(subset @ X948 @ X947))&((((X949)!=(X950))|(subset @ X949 @ X950))&((((in @ (esk53_2 @ X951 @ X952) @ X951)|(subset @ X951 @ X952))&(~(in @ (esk53_2 @ X951 @ X952) @ X952)|(subset @ X951 @ X952)))&((subset @ emptyset @ X954)&((~(subset @ X955 @ X956)|(~(in @ X957 @ X955)|(in @ X957 @ X956)))&((~(subset @ X958 @ X959)|((in @ X960 @ X959)|~(in @ X960 @ X958)))&((~(in @ X963 @ X961)|((in @ X963 @ X962)|~(subset @ X961 @ X962)))&(((subset @ X964 @ X965)|((X964)!=(X965)))&((~(in @ X968 @ X966)|((in @ X968 @ X967)|((X966)!=(X967))))&((subset @ X969 @ X969)&((~(subset @ X970 @ X971)|(~(subset @ X971 @ X972)|(subset @ X970 @ X972)))&((subset @ X974 @ (setadjoin @ X973 @ X974))&((~(subset @ X975 @ X977)|(subset @ X975 @ (setadjoin @ X976 @ X977)))&((~(subset @ X978 @ X979)|(in @ X978 @ (powerset @ X979)))&((~(subset @ X980 @ X981)|(~(subset @ X981 @ X980)|((X980)=(X981))))&((~(subset @ X982 @ emptyset)|((X982)=(emptyset)))&((~(subset @ X984 @ X983)|(in @ X984 @ (powerset @ X983)))&((~(in @ X986 @ (powerset @ X985))|(subset @ X986 @ X985))&((in @ X987 @ (powerset @ X987))&((~(subset @ X988 @ X989)|(subset @ (powerset @ X988) @ (powerset @ X989)))&((in @ (dsetconstr @ X990 @ X991) @ (powerset @ X990))&((subset @ (dsetconstr @ X992 @ X993) @ X992)&((~(in @ X996 @ X994)|(in @ X996 @ (binunion @ X994 @ X995)))&((in @ X998 @ (setadjoin @ X997 @ (setadjoin @ X998 @ emptyset)))&((~(in @ X1001 @ X1000)|(in @ X1001 @ (binunion @ X999 @ X1000)))&(((((in @ X1004 @ X1003)|(X1005)|(in @ X1004 @ X1002)|~(in @ X1004 @ (binunion @ X1002 @ X1003)))&(~(X1005)|(X1005)|(in @ X1004 @ X1002)|~(in @ X1004 @ (binunion @ X1002 @ X1003))))&(((in @ X1004 @ X1003)|(X1005)|~(X1005)|~(in @ X1004 @ (binunion @ X1002 @ X1003)))&(~(X1005)|(X1005)|~(X1005)|~(in @ X1004 @ (binunion @ X1002 @ X1003)))))&((~(in @ X1008 @ (binunion @ X1006 @ X1007))|((in @ X1008 @ X1006)|(in @ X1008 @ X1007)))&((subset @ X1009 @ (binunion @ X1009 @ X1010))&((subset @ X1012 @ (binunion @ X1011 @ X1012))&((~(in @ X1015 @ X1013)|(~(in @ X1015 @ X1014)|(in @ X1015 @ (binintersect @ X1013 @ X1014))))&((~(subset @ X1018 @ X1016)|(~(subset @ X1018 @ X1017)|(subset @ X1018 @ (binintersect @ X1016 @ X1017))))&((~(in @ X1021 @ (binintersect @ X1019 @ X1020))|(in @ X1021 @ X1019))&((subset @ (binintersect @ X1022 @ X1023) @ X1022)&((~(subset @ X1024 @ X1025)|((binintersect @ X1024 @ X1025)=(X1024)))&((((binintersect @ X1026 @ X1027)!=(X1027))|(subset @ X1027 @ X1026))&((~(in @ X1030 @ (binintersect @ X1028 @ X1029))|(in @ X1030 @ X1029))&((((in @ (esk54_2 @ X1031 @ X1032) @ X1031)|((binintersect @ X1031 @ X1032)=(emptyset)))&((in @ (esk54_2 @ X1031 @ X1032) @ X1032)|((binintersect @ X1031 @ X1032)=(emptyset))))&((subset @ (binintersect @ X1034 @ X1035) @ X1035)&((~(subset @ X1037 @ X1036)|((binintersect @ X1036 @ X1037)=(X1037)))&((((binintersect @ X1038 @ X1039)!=(X1038))|(subset @ X1038 @ X1039))&(((binintersect @ X1040 @ (binunion @ X1041 @ X1042))=(binunion @ (binintersect @ X1040 @ X1041) @ (binintersect @ X1040 @ X1042)))&((~(in @ X1045 @ X1043)|((in @ X1045 @ X1044)|(in @ X1045 @ (dsetconstr @ X1043 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X1044))))))))&((~(in @ X1048 @ (dsetconstr @ X1046 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X1047))))))|(in @ X1048 @ X1046))&((in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0))))))&(in @ esk57_0 @ esk56_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_166])])])])])])])).
0.74/240.10	thf(c_0_168, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_167])).
0.74/240.10	thf(c_0_169, negated_conjecture, (in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0)))))), inference(split_conjunct,[status(thm)],[c_0_167])).
0.74/240.10	thf(c_0_170, negated_conjecture, (in @ esk57_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_167])).
0.74/240.10	thf(c_0_171, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169])]), c_0_170])]), ['proof']).
0.74/240.10	# SZS output end CNFRefutation
0.74/240.10	# Parsed axioms                        : 261
0.74/240.10	# Removed by relevancy pruning/SinE    : 139
0.74/240.10	# Initial clauses                      : 235
0.74/240.10	# Removed in clause preprocessing      : 17
0.74/240.10	# Initial clauses in saturation        : 218
0.74/240.10	# Processed clauses                    : 272
0.74/240.10	# ...of these trivial                  : 3
0.74/240.10	# ...subsumed                          : 21
0.74/240.10	# ...remaining for further processing  : 248
0.74/240.10	# Other redundant clauses eliminated   : 16
0.74/240.10	# Clauses deleted for lack of memory   : 0
0.74/240.10	# Backward-subsumed                    : 0
0.74/240.10	# Backward-rewritten                   : 2
0.74/240.10	# Generated clauses                    : 63
0.74/240.10	# ...of the previous two non-redundant : 35
0.74/240.10	# ...aggressively subsumed             : 0
0.74/240.10	# Contextual simplify-reflections      : 0
0.74/240.10	# Paramodulations                      : 47
0.74/240.10	# Factorizations                       : 0
0.74/240.10	# NegExts                              : 0
0.74/240.10	# Equation resolutions                 : 16
0.74/240.10	# Disequality decompositions           : 0
0.74/240.10	# Total rewrite steps                  : 39
0.74/240.10	# ...of those cached                   : 24
0.74/240.10	# Propositional unsat checks           : 0
0.74/240.10	#    Propositional check models        : 0
0.74/240.10	#    Propositional check unsatisfiable : 0
0.74/240.10	#    Propositional clauses             : 0
0.74/240.10	#    Propositional clauses after purity: 0
0.74/240.10	#    Propositional unsat core size     : 0
0.74/240.10	#    Propositional preprocessing time  : 0.000
0.74/240.10	#    Propositional encoding time       : 0.000
0.74/240.10	#    Propositional solver time         : 0.000
0.74/240.10	#    Success case prop preproc time    : 0.000
0.74/240.10	#    Success case prop encoding time   : 0.000
0.74/240.10	#    Success case prop solver time     : 0.000
0.74/240.10	# Current number of processed clauses  : 42
0.74/240.10	#    Positive orientable unit clauses  : 24
0.74/240.10	#    Positive unorientable unit clauses: 0
0.74/240.10	#    Negative unit clauses             : 1
0.74/240.10	#    Non-unit-clauses                  : 17
0.74/240.10	# Current number of unprocessed clauses: 169
0.74/240.10	# ...number of literals in the above   : 604
0.74/240.10	# Current number of archived formulas  : 0
0.74/240.10	# Current number of archived clauses   : 193
0.74/240.10	# Clause-clause subsumption calls (NU) : 5419
0.74/240.10	# Rec. Clause-clause subsumption calls : 1423
0.74/240.10	# Non-unit clause-clause subsumptions  : 16
0.74/240.10	# Unit Clause-clause subsumption calls : 11
0.74/240.10	# Rewrite failures with RHS unbound    : 0
0.74/240.10	# BW rewrite match attempts            : 13
0.74/240.10	# BW rewrite match successes           : 2
0.74/240.10	# Condensation attempts                : 272
0.74/240.10	# Condensation successes               : 3
0.74/240.10	# Termbank termtop insertions          : 35829
0.74/240.10	# Search garbage collected termcells   : 12006
0.74/240.10	
0.74/240.10	# -------------------------------------------------
0.74/240.10	# User time                : 0.055 s
0.74/240.10	# System time              : 0.009 s
0.74/240.10	# Total time               : 0.064 s
0.74/240.10	# Maximum resident set size: 5020 pages
0.74/240.10	
0.74/240.10	# -------------------------------------------------
0.74/240.10	# User time                : 0.061 s
0.74/240.10	# System time              : 0.013 s
0.74/240.10	# Total time               : 0.074 s
0.74/240.10	# Maximum resident set size: 2064 pages
0.74/240.10	% E exiting
0.74/240.10	% E exiting
0.74/240.10	EOF