0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.11	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.32	% Computer : n007.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 02:12:49 EDT 2025
0.12/0.32	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.48	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p
0.73/240.04	# Version: 3.0.0-ho
0.73/240.04	# Preprocessing class: HSMSSLSSLLLCHFA.
0.73/240.04	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.73/240.04	# Starting new_ho_10 with 1200s (5) cores
0.73/240.04	# Starting sh5l with 240s (1) cores
0.73/240.04	# Starting new_bool_1 with 240s (1) cores
0.73/240.04	# Starting new_bool_2 with 240s (1) cores
0.73/240.04	# new_bool_2 with pid 27851 completed with status 0
0.73/240.04	# Result found by new_bool_2
0.73/240.04	# Preprocessing class: HSMSSLSSLLLCHFA.
0.73/240.04	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.73/240.04	# Starting new_ho_10 with 1200s (5) cores
0.73/240.04	# Starting sh5l with 240s (1) cores
0.73/240.04	# Starting new_bool_1 with 240s (1) cores
0.73/240.04	# Starting new_bool_2 with 240s (1) cores
0.73/240.04	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.73/240.04	# Search class: HGHSM-FSLM31-SHFMMMBN
0.73/240.04	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.73/240.04	# Starting ho_unfolding_3 with 130s (1) cores
0.73/240.04	# ho_unfolding_3 with pid 27852 completed with status 0
0.73/240.04	# Result found by ho_unfolding_3
0.73/240.04	# Preprocessing class: HSMSSLSSLLLCHFA.
0.73/240.04	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.73/240.04	# Starting new_ho_10 with 1200s (5) cores
0.73/240.04	# Starting sh5l with 240s (1) cores
0.73/240.04	# Starting new_bool_1 with 240s (1) cores
0.73/240.04	# Starting new_bool_2 with 240s (1) cores
0.73/240.04	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.73/240.04	# Search class: HGHSM-FSLM31-SHFMMMBN
0.73/240.04	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.73/240.04	# Starting ho_unfolding_3 with 130s (1) cores
0.73/240.04	# Preprocessing time       : 0.005 s
0.73/240.04	# Presaturation interreduction done
0.73/240.04	
0.73/240.04	# Proof found!
0.73/240.04	# SZS status Theorem
0.73/240.04	# SZS output start CNFRefutation
0.73/240.04	thf(decl_23, type, in: $i > $i > $o).
0.73/240.04	thf(decl_24, type, exu: ($i > $o) > $o).
0.73/240.04	thf(decl_25, type, setextAx: $o).
0.73/240.04	thf(decl_26, type, emptyset: $i).
0.73/240.04	thf(decl_27, type, emptysetAx: $o).
0.73/240.04	thf(decl_28, type, setadjoin: $i > $i > $i).
0.73/240.04	thf(decl_29, type, setadjoinAx: $o).
0.73/240.04	thf(decl_30, type, powerset: $i > $i).
0.73/240.04	thf(decl_31, type, powersetAx: $o).
0.73/240.04	thf(decl_32, type, setunion: $i > $i).
0.73/240.04	thf(decl_33, type, setunionAx: $o).
0.73/240.04	thf(decl_34, type, omega: $i).
0.73/240.04	thf(decl_35, type, omega0Ax: $o).
0.73/240.04	thf(decl_36, type, omegaSAx: $o).
0.73/240.04	thf(decl_37, type, omegaIndAx: $o).
0.73/240.04	thf(decl_38, type, replAx: $o).
0.73/240.04	thf(decl_39, type, foundationAx: $o).
0.73/240.04	thf(decl_40, type, wellorderingAx: $o).
0.73/240.04	thf(decl_41, type, descr: ($i > $o) > $i).
0.73/240.04	thf(decl_42, type, descrp: $o).
0.73/240.04	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_44, type, dsetconstrI: $o).
0.73/240.04	thf(decl_45, type, dsetconstrEL: $o).
0.73/240.04	thf(decl_46, type, dsetconstrER: $o).
0.73/240.04	thf(decl_47, type, exuE1: $o).
0.73/240.04	thf(decl_48, type, prop2set: $o > $i).
0.73/240.04	thf(decl_49, type, prop2setE: $o).
0.73/240.04	thf(decl_50, type, emptysetE: $o).
0.73/240.04	thf(decl_51, type, emptysetimpfalse: $o).
0.73/240.04	thf(decl_52, type, notinemptyset: $o).
0.73/240.04	thf(decl_53, type, exuE3e: $o).
0.73/240.04	thf(decl_54, type, setext: $o).
0.73/240.04	thf(decl_55, type, emptyI: $o).
0.73/240.04	thf(decl_56, type, noeltsimpempty: $o).
0.73/240.04	thf(decl_57, type, setbeta: $o).
0.73/240.04	thf(decl_58, type, nonempty: $i > $o).
0.73/240.04	thf(decl_59, type, nonemptyE1: $o).
0.73/240.04	thf(decl_60, type, nonemptyI: $o).
0.73/240.04	thf(decl_61, type, nonemptyI1: $o).
0.73/240.04	thf(decl_62, type, setadjoinIL: $o).
0.73/240.04	thf(decl_63, type, emptyinunitempty: $o).
0.73/240.04	thf(decl_64, type, setadjoinIR: $o).
0.73/240.04	thf(decl_65, type, setadjoinE: $o).
0.73/240.04	thf(decl_66, type, setadjoinOr: $o).
0.73/240.04	thf(decl_67, type, setoftrueEq: $o).
0.73/240.04	thf(decl_68, type, powersetI: $o).
0.73/240.04	thf(decl_69, type, emptyinPowerset: $o).
0.73/240.04	thf(decl_70, type, emptyInPowerset: $o).
0.73/240.04	thf(decl_71, type, powersetE: $o).
0.73/240.04	thf(decl_72, type, setunionI: $o).
0.73/240.04	thf(decl_73, type, setunionE: $o).
0.73/240.04	thf(decl_74, type, subPowSU: $o).
0.73/240.04	thf(decl_75, type, exuE2: $o).
0.73/240.04	thf(decl_76, type, nonemptyImpWitness: $o).
0.73/240.04	thf(decl_77, type, uniqinunit: $o).
0.73/240.04	thf(decl_78, type, notinsingleton: $o).
0.73/240.04	thf(decl_79, type, eqinunit: $o).
0.73/240.04	thf(decl_80, type, singletonsswitch: $o).
0.73/240.04	thf(decl_81, type, upairsetE: $o).
0.73/240.04	thf(decl_82, type, upairsetIL: $o).
0.73/240.04	thf(decl_83, type, upairsetIR: $o).
0.73/240.04	thf(decl_84, type, emptyE1: $o).
0.73/240.04	thf(decl_85, type, vacuousDall: $o).
0.73/240.04	thf(decl_86, type, quantDeMorgan1: $o).
0.73/240.04	thf(decl_87, type, quantDeMorgan2: $o).
0.73/240.04	thf(decl_88, type, quantDeMorgan3: $o).
0.73/240.04	thf(decl_89, type, quantDeMorgan4: $o).
0.73/240.04	thf(decl_90, type, prop2setI: $o).
0.73/240.04	thf(decl_92, type, prop2set2propI: $o).
0.73/240.04	thf(decl_93, type, notdexE: $o).
0.73/240.04	thf(decl_94, type, notdallE: $o).
0.73/240.04	thf(decl_95, type, exuI1: $o).
0.73/240.04	thf(decl_96, type, exuI3: $o).
0.73/240.04	thf(decl_97, type, exuI2: $o).
0.73/240.04	thf(decl_98, type, inCongP: $o).
0.73/240.04	thf(decl_99, type, in__Cong: $o).
0.73/240.04	thf(decl_100, type, exuE3u: $o).
0.73/240.04	thf(decl_101, type, exu__Cong: $o).
0.73/240.04	thf(decl_102, type, emptyset__Cong: $o).
0.73/240.04	thf(decl_103, type, setadjoin__Cong: $o).
0.73/240.04	thf(decl_104, type, powerset__Cong: $o).
0.73/240.04	thf(decl_105, type, setunion__Cong: $o).
0.73/240.04	thf(decl_106, type, omega__Cong: $o).
0.73/240.04	thf(decl_107, type, exuEu: $o).
0.73/240.04	thf(decl_108, type, descr__Cong: $o).
0.73/240.04	thf(decl_109, type, dsetconstr__Cong: $o).
0.73/240.04	thf(decl_110, type, subset: $i > $i > $o).
0.73/240.04	thf(decl_113, type, subsetI1: $o).
0.73/240.04	thf(decl_114, type, eqimpsubset2: $o).
0.73/240.04	thf(decl_115, type, eqimpsubset1: $o).
0.73/240.04	thf(decl_116, type, subsetI2: $o).
0.73/240.04	thf(decl_117, type, emptysetsubset: $o).
0.73/240.04	thf(decl_118, type, subsetE: $o).
0.73/240.04	thf(decl_119, type, subsetE2: $o).
0.73/240.04	thf(decl_120, type, epred1_0: $o).
0.73/240.04	thf(decl_121, type, esk1_2: $i > $i > $i).
0.73/240.04	thf(decl_122, type, esk2_2: $i > $i > $i).
0.73/240.04	thf(decl_123, type, esk3_2: $i > $i > $i).
0.73/240.04	thf(decl_124, type, esk4_1: $i > $i).
0.73/240.04	thf(decl_125, type, esk5_2: ($i > $i > $o) > $i > $i).
0.73/240.04	thf(decl_126, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.73/240.04	thf(decl_127, type, esk7_2: ($i > $i > $o) > $i > $i).
0.73/240.04	thf(decl_128, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.73/240.04	thf(decl_129, type, esk9_1: $i > $i).
0.73/240.04	thf(decl_130, type, esk10_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_131, type, esk11_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_132, type, esk12_1: ($i > $o) > $i).
0.73/240.04	thf(decl_133, type, esk13_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_134, type, esk14_1: ($i > $o) > $i).
0.73/240.04	thf(decl_135, type, esk15_2: $i > $i > $i).
0.73/240.04	thf(decl_136, type, esk16_2: $i > $i > $i).
0.73/240.04	thf(decl_137, type, esk17_1: $i > $i).
0.73/240.04	thf(decl_138, type, esk18_1: $i > $i).
0.73/240.04	thf(decl_139, type, esk19_1: $i > $i).
0.73/240.04	thf(decl_140, type, esk20_2: $i > $i > $i).
0.73/240.04	thf(decl_141, type, esk21_3: $i > $i > $o > $i).
0.73/240.04	thf(decl_142, type, esk22_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_143, type, esk23_1: ($i > $o) > $i).
0.73/240.04	thf(decl_144, type, esk24_1: $i > $i).
0.73/240.04	thf(decl_145, type, esk25_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_146, type, esk26_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_147, type, esk27_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_148, type, esk28_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_149, type, esk29_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_150, type, esk30_2: $i > ($i > $o) > $i).
0.73/240.04	thf(decl_151, type, esk31_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_152, type, esk32_1: ($i > $o) > $i).
0.73/240.04	thf(decl_153, type, esk33_1: ($i > $o) > $i).
0.73/240.04	thf(decl_154, type, esk34_1: ($i > $o) > $i).
0.73/240.04	thf(decl_155, type, esk35_1: ($i > $o) > $i).
0.73/240.04	thf(decl_156, type, esk36_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_157, type, esk37_1: ($i > $o) > $i).
0.73/240.04	thf(decl_158, type, esk38_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_159, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_160, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_161, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.73/240.04	thf(decl_162, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_163, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.73/240.04	thf(decl_164, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_165, type, esk45_2: ($i > $o) > $i > $i).
0.73/240.04	thf(decl_166, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_167, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_168, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.73/240.04	thf(decl_169, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.73/240.04	thf(decl_170, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_171, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.73/240.04	thf(decl_172, type, esk52_2: $i > $i > $i).
0.73/240.04	thf(decl_173, type, esk53_2: $i > $i > $i).
0.73/240.04	thf(decl_174, type, esk54_0: $i).
0.73/240.04	thf(decl_175, type, esk55_0: $i).
0.73/240.04	thf(decl_176, type, esk56_0: $i).
0.73/240.04	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuE3e)).
0.73/240.04	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exu)).
0.73/240.04	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuE1)).
0.73/240.04	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', descrp)).
0.73/240.04	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuI3)).
0.73/240.04	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', replAx)).
0.73/240.04	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exu__Cong)).
0.73/240.04	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuE3u)).
0.73/240.04	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', descr__Cong)).
0.73/240.04	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuEu)).
0.73/240.04	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuI2)).
0.73/240.04	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/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuI1)).
0.73/240.04	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', nonempty)).
0.73/240.04	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', exuE2)).
0.73/240.04	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', nonemptyI)).
0.73/240.04	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', dsetconstrER)).
0.73/240.04	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', dsetconstrEL)).
0.73/240.04	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', dsetconstrI)).
0.73/240.04	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', dsetconstr__Cong)).
0.73/240.04	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyE1)).
0.73/240.04	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', nonemptyImpWitness)).
0.73/240.04	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setoftrueEq)).
0.73/240.04	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', nonemptyE1)).
0.73/240.04	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', nonemptyI1)).
0.73/240.04	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setbeta)).
0.73/240.04	thf(notsubsetI, conjecture, (((((powersetAx)=>((setunionAx)=>((omega0Ax)=>(((omegaIndAx)=>(((foundationAx)=>(((((((((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((((((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((((((powersetI)=>((emptyinPowerset)=>(((((setunionE)=>((subPowSU)=>((((uniqinunit)=>((notinsingleton)=>(((((((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>(((prop2set2propI)=>(((((exuI3)=>((((in__Cong)=>(((exu__Cong)=>((emptyset__Cong)=>(((powerset__Cong)=>(((omega__Cong)=>(((descr__Cong)=>(((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((((subsetE)=>((subsetE2)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))))<=(emptysetsubset))<=(subsetI2)))))<=(dsetconstr__Cong)))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))))<=(exuE3u)))<=(inCongP))<=(exuI2)))<=(exuI1))<=(notdallE))<=(notdexE)))<=(prop2setI)))<=(quantDeMorgan3))))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch))<=(eqinunit))))<=(nonemptyImpWitness))<=(exuE2))))<=(setunionI))<=(powersetE))<=(emptyInPowerset))))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))))))<=(nonemptyE1)))<=(noeltsimpempty))<=(emptyI))<=(setext))<=(exuE3e)))))<=(prop2setE))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))<=(wellorderingAx)))<=(replAx)))<=(omegaSAx)))))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', notsubsetI)).
0.73/240.04	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setextAx)).
0.73/240.04	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', noeltsimpempty)).
0.73/240.04	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', subPowSU)).
0.73/240.04	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyI)).
0.73/240.04	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', quantDeMorgan1)).
0.73/240.04	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setext)).
0.73/240.04	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', prop2setE)).
0.73/240.04	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', quantDeMorgan2)).
0.73/240.04	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', quantDeMorgan4)).
0.73/240.04	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', wellorderingAx)).
0.73/240.04	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/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', in__Cong)).
0.73/240.04	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', omegaSAx)).
0.73/240.04	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoinAx)).
0.73/240.04	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptysetAx)).
0.73/240.04	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyset__Cong)).
0.73/240.04	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', uniqinunit)).
0.73/240.04	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', powerset__Cong)).
0.73/240.04	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', omega__Cong)).
0.73/240.04	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', subsetI1)).
0.73/240.04	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', eqimpsubset2)).
0.73/240.05	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', eqimpsubset1)).
0.73/240.05	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', subsetE)).
0.73/240.05	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', subsetE2)).
0.73/240.05	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', notinsingleton)).
0.73/240.05	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptysetsubset)).
0.73/240.05	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', subsetI2)).
0.73/240.05	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setunion__Cong)).
0.73/240.05	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoin__Cong)).
0.73/240.05	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', inCongP)).
0.73/240.05	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', notdallE)).
0.73/240.05	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', notdexE)).
0.73/240.05	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', prop2setI)).
0.73/240.05	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', quantDeMorgan3)).
0.73/240.05	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', vacuousDall)).
0.73/240.05	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', upairsetIR)).
0.73/240.05	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', upairsetIL)).
0.73/240.05	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', upairsetE)).
0.73/240.05	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', singletonsswitch)).
0.73/240.05	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', eqinunit)).
0.73/240.05	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setunionI)).
0.73/240.05	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', powersetE)).
0.73/240.05	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyInPowerset)).
0.73/240.05	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoinOr)).
0.73/240.05	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoinE)).
0.73/240.05	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoinIR)).
0.73/240.05	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setunionE)).
0.73/240.05	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyinPowerset)).
0.73/240.05	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', powersetI)).
0.73/240.05	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptyinunitempty)).
0.73/240.05	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setadjoinIL)).
0.73/240.05	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', notinemptyset)).
0.73/240.05	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptysetimpfalse)).
0.73/240.05	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', emptysetE)).
0.73/240.05	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', foundationAx)).
0.73/240.05	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', omegaIndAx)).
0.73/240.05	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', omega0Ax)).
0.73/240.05	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', setunionAx)).
0.73/240.05	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.lbWqMugogj/E---3.1_27769.p', powersetAx)).
0.73/240.05	thf(c_0_84, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.73/240.05	thf(c_0_85, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.73/240.05	thf(c_0_86, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.73/240.05	thf(c_0_87, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.73/240.05	thf(c_0_88, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.73/240.05	thf(c_0_89, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.73/240.05	thf(c_0_90, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.73/240.05	thf(c_0_91, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.73/240.05	thf(c_0_92, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.73/240.05	thf(c_0_93, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.73/240.05	thf(c_0_94, 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])).
0.73/240.05	thf(c_0_95, 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])).
0.73/240.05	thf(c_0_96, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.73/240.05	thf(c_0_97, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.73/240.05	thf(c_0_98, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.73/240.05	thf(c_0_99, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X256:$i]:((((X1 @ X256))&![X257:$i]:((((X1 @ X257))=>((X256)=(X257)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_84, c_0_85])).
0.73/240.05	thf(c_0_100, plain, ((exuE1)=(![X1:$i > $o]:(((?[X254:$i]:((((X1 @ X254))&![X255:$i]:((((X1 @ X255))=>((X254)=(X255)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_85])).
0.73/240.05	thf(c_0_101, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.73/240.05	thf(c_0_102, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.73/240.05	thf(c_0_103, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.73/240.05	thf(c_0_104, plain, ((descrp)=(![X1:$i > $o]:(((?[X252:$i]:((((X1 @ X252))&![X253:$i]:((((X1 @ X253))=>((X252)=(X253)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_85])).
0.73/240.05	thf(c_0_105, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X262:$i]:((((X1 @ X262))&![X263:$i]:((((X1 @ X263))=>((X262)=(X263)))))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_85])).
0.73/240.05	thf(c_0_106, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X250:$i]:((((X6 @ X2 @ X250))&![X251:$i]:((((X6 @ X2 @ X251))=>((X250)=(X251)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_85])).
0.73/240.05	thf(c_0_107, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X268:$i]:((((X1 @ X268))&![X269:$i]:((((X1 @ X269))=>((X268)=(X269)))))))<=>(?[X270:$i]:((((X17 @ X270))&![X271:$i]:((((X17 @ X271))=>((X270)=(X271)))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_85])).
0.73/240.05	thf(c_0_108, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X266:$i]:((((X1 @ X266))&![X267:$i]:((((X1 @ X267))=>((X266)=(X267)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_85])).
0.73/240.05	thf(c_0_109, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X274:$i]:((((X1 @ X274))&![X275:$i]:((((X1 @ X275))=>((X274)=(X275)))))))=>((?[X276:$i]:((((X17 @ X276))&![X277:$i]:((((X17 @ X277))=>((X276)=(X277)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_85])).
0.73/240.05	thf(c_0_110, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.73/240.05	thf(c_0_111, plain, ((exuEu)=(![X1:$i > $o]:(((?[X272:$i]:((((X1 @ X272))&![X273:$i]:((((X1 @ X273))=>((X272)=(X273)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_85])).
0.73/240.05	thf(c_0_112, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X264:$i]:((((X1 @ X264))&![X265:$i]:((((X1 @ X265))=>((X264)=(X265))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_85])).
0.73/240.05	thf(c_0_113, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X260:$i]:((((X1 @ X260))&![X261:$i]:((((X1 @ X261))=>((X260)=(X261))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_85])).
0.73/240.05	thf(c_0_114, plain, ((emptyE1)<=>![X4:$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])).
0.73/240.05	thf(c_0_115, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_96])).
0.73/240.05	thf(c_0_116, plain, ((exuE2)=(![X1:$i > $o]:(((?[X258:$i]:((((X1 @ X258))&![X259:$i]:((((X1 @ X259))=>((X258)=(X259)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_85])).
0.73/240.05	thf(c_0_117, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.73/240.05	thf(c_0_118, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_96])).
0.73/240.05	thf(c_0_119, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_96])).
0.73/240.05	thf(c_0_120, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_96])).
0.73/240.05	thf(c_0_121, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.73/240.05	thf(c_0_122, plain, ((epred1_0)<=>![X499:$i]:(?[X500:$i]:((((![X501:$i]:(((in @ X501 @ X500)=>![X502:$i]:(((in @ X502 @ X501)=>(in @ X502 @ X499)))))&![X503:$i, X504:$i]:((((in @ X503 @ X499)&(in @ X504 @ X499))=>(![X505:$i]:(((in @ X505 @ X500)=>((in @ X503 @ X505)<=>(in @ X504 @ X505))))=>((X503)=(X504))))))&![X506:$i, X507:$i]:((((in @ X506 @ X500)&(in @ X507 @ X500))=>(![X508:$i]:(((in @ X508 @ X506)=>(in @ X508 @ X507)))|![X509:$i]:(((in @ X509 @ X507)=>(in @ X509 @ X506)))))))&![X510:$i]:(((![X511:$i]:(((in @ X511 @ X510)=>(in @ X511 @ X499)))&?[X512:$i]:((in @ X512 @ X510)))=>?[X513:$i, X514:$i]:(((((in @ X513 @ X500)&(in @ X514 @ X510))&~(?[X515:$i]:(((in @ X515 @ X513)&(in @ X515 @ X510)))))&![X516:$i]:(((in @ X516 @ X500)=>(![X517:$i]:(((in @ X517 @ X516)=>(in @ X517 @ X513)))|(in @ X514 @ X516)))))))))))), introduced(definition)).
0.73/240.05	thf(c_0_123, negated_conjecture, ~((![X531:$i, X532:$i]:((![X533:$i]:(((in @ X533 @ X531)<=>(in @ X533 @ X532)))=>((X531)=(X532))))=>(![X530:$i]:(~(in @ X530 @ emptyset))=>(![X527:$i, X528:$i, X529:$i]:(((in @ X529 @ (setadjoin @ X527 @ X528))<=>(((X529)=(X527))|(in @ X529 @ X528))))=>(![X278:$i, X279:$i]:(((in @ X279 @ (powerset @ X278))<=>![X280:$i]:(((in @ X280 @ X279)=>(in @ X280 @ X278)))))=>(![X281:$i, X282:$i]:(((in @ X282 @ (setunion @ X281))<=>?[X283:$i]:(((in @ X282 @ X283)&(in @ X283 @ X281)))))=>((in @ emptyset @ omega)=>(![X526:$i]:(((in @ X526 @ omega)=>(in @ (setadjoin @ X526 @ X526) @ omega)))=>(![X284:$i]:((((in @ emptyset @ X284)&![X285:$i]:((((in @ X285 @ omega)&(in @ X285 @ X284))=>(in @ (setadjoin @ X285 @ X285) @ X284))))=>![X286:$i]:(((in @ X286 @ omega)=>(in @ X286 @ X284)))))=>(![X518:$i > $i > $o, X519:$i]:((![X520:$i]:(((in @ X520 @ X519)=>?[X521:$i]:(((X518 @ X520 @ X521)&![X522:$i]:(((X518 @ X520 @ X522)=>((X521)=(X522))))))))=>?[X523:$i]:(![X524:$i]:(((in @ X524 @ X523)<=>?[X525:$i]:(((in @ X525 @ X519)&(X518 @ X525 @ X524))))))))=>(![X287:$i]:((?[X288:$i]:((in @ X288 @ X287))=>?[X289:$i]:(((in @ X289 @ X287)&~(?[X290:$i]:(((in @ X290 @ X289)&(in @ X290 @ X287))))))))=>((epred1_0)=>(![X496:$i > $o]:((?[X497:$i]:(((X496 @ X497)&![X498:$i]:(((X496 @ X498)=>((X497)=(X498))))))=>(X496 @ (descr @ (^[Z0/* 3 */:$i]:((X496 @ Z0)))))))=>(![X493:$i, X494:$i > $o, X495:$i]:(((in @ X495 @ X493)=>((X494 @ X495)=>(in @ X495 @ (dsetconstr @ X493 @ (^[Z0/* 3 */:$i]:((X494 @ Z0))))))))=>(![X490:$i, X491:$i > $o, X492:$i]:(((in @ X492 @ (dsetconstr @ X490 @ (^[Z0/* 3 */:$i]:((X491 @ Z0)))))=>(in @ X492 @ X490)))=>(![X487:$i, X488:$i > $o, X489:$i]:(((in @ X489 @ (dsetconstr @ X487 @ (^[Z0/* 3 */:$i]:((X488 @ Z0)))))=>(X488 @ X489)))=>(![X482:$i > $o]:((?[X483:$i]:(((X482 @ X483)&![X484:$i]:(((X482 @ X484)=>((X483)=(X484))))))=>?[X485:$i]:(((X482 @ X485)&![X486:$i]:(((X482 @ X486)=>((X485)=(X486))))))))=>(![X480:$o, X481:$i]:(((in @ X481 @ (prop2set @ ((X480))))=>(X480)))=>(![X291:$i]:(((in @ X291 @ emptyset)=>![X292:$o]:((X292))))=>(![X293:$i]:(~(in @ X293 @ emptyset))=>(![X294:$i]:(~(in @ X294 @ emptyset))=>(![X476:$i > $o]:((?[X477:$i]:(((X476 @ X477)&![X478:$i]:(((X476 @ X478)=>((X477)=(X478))))))=>?[X479:$i]:((X476 @ X479))))=>(![X472:$i, X473:$i]:((![X474:$i]:(((in @ X474 @ X472)=>(in @ X474 @ X473)))=>(![X475:$i]:(((in @ X475 @ X473)=>(in @ X475 @ X472)))=>((X472)=(X473)))))=>(![X470:$i]:((![X471:$i]:(~(in @ X471 @ X470))=>((X470)=(emptyset))))=>(![X468:$i]:((![X469:$i]:(~(in @ X469 @ X468))=>((X468)=(emptyset))))=>(![X295:$i, X296:$i > $o, X297:$i]:(((in @ X297 @ X295)=>((in @ X297 @ (dsetconstr @ X295 @ (^[Z0/* 3 */:$i]:((X296 @ Z0)))))<=>(X296 @ X297))))=>(![X466:$i]:((((X466)!=(emptyset))=>?[X467:$i]:((in @ X467 @ X466))))=>(![X298:$i, X299:$i > $o, X300:$i]:(((in @ X300 @ X298)=>((X299 @ X300)=>((dsetconstr @ X298 @ (^[Z0/* 3 */:$i]:((X299 @ Z0))))!=(emptyset)))))=>(![X301:$i]:((?[X302:$i]:((in @ X302 @ X301))=>((X301)!=(emptyset))))=>(![X303:$i, X304:$i]:((in @ X303 @ (setadjoin @ X303 @ X304)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X463:$i, X464:$i, X465:$i]:(((in @ X465 @ X464)=>(in @ X465 @ (setadjoin @ X463 @ X464))))=>(![X459:$i, X460:$i, X461:$i]:(((in @ X461 @ (setadjoin @ X459 @ X460))=>![X462:$o]:(((((X461)=(X459))=>(X462))=>(((in @ X461 @ X460)=>(X462))=>(X462))))))=>(![X456:$i, X457:$i, X458:$i]:(((in @ X458 @ (setadjoin @ X456 @ X457))=>(((X458)=(X456))|(in @ X458 @ X457))))=>(![X455:$i]:(((dsetconstr @ X455 @ (^[Z0/* 3 */:$i]:(($true))))=(X455)))=>(![X305:$i, X306:$i]:((![X307:$i]:(((in @ X307 @ X306)=>(in @ X307 @ X305)))=>(in @ X306 @ (powerset @ X305))))=>(![X308:$i]:((in @ emptyset @ (powerset @ X308)))=>(![X454:$i]:((in @ emptyset @ (powerset @ X454)))=>(![X451:$i, X452:$i, X453:$i]:(((in @ X452 @ (powerset @ X451))=>((in @ X453 @ X452)=>(in @ X453 @ X451))))=>(![X448:$i, X449:$i, X450:$i]:(((in @ X449 @ X450)=>((in @ X450 @ X448)=>(in @ X449 @ (setunion @ X448)))))=>(![X309:$i, X310:$i]:(((in @ X310 @ (setunion @ X309))=>![X311:$o]:((![X312:$i]:(((in @ X310 @ X312)=>((in @ X312 @ X309)=>(X311))))=>(X311)))))=>(![X313:$i, X314:$i]:(((in @ X314 @ X313)=>(in @ X314 @ (powerset @ (setunion @ X313)))))=>(![X443:$i > $o]:((?[X444:$i]:(((X443 @ X444)&![X445:$i]:(((X443 @ X445)=>((X444)=(X445))))))=>?[X446:$i]:(![X447:$i]:(((X443 @ X447)<=>((X447)=(X446)))))))=>(![X441:$i]:((((X441)!=(emptyset))=>?[X442:$i]:((in @ X442 @ X441))))=>(![X315:$i, X316:$i]:(((in @ X315 @ (setadjoin @ X316 @ emptyset))=>((X315)=(X316))))=>(![X317:$i, X318:$i]:((((X317)!=(X318))=>~(in @ X318 @ (setadjoin @ X317 @ emptyset))))=>(![X439:$i, X440:$i]:((((X439)=(X440))=>(in @ X439 @ (setadjoin @ X440 @ emptyset))))=>(![X437:$i, X438:$i]:(((in @ X437 @ (setadjoin @ X438 @ emptyset))=>(in @ X438 @ (setadjoin @ X437 @ emptyset))))=>(![X434:$i, X435:$i, X436:$i]:(((in @ X436 @ (setadjoin @ X434 @ (setadjoin @ X435 @ emptyset)))=>(((X436)=(X434))|((X436)=(X435)))))=>(![X432:$i, X433:$i]:((in @ X432 @ (setadjoin @ X432 @ (setadjoin @ X433 @ emptyset))))=>(![X430:$i, X431:$i]:((in @ X431 @ (setadjoin @ X430 @ (setadjoin @ X431 @ emptyset))))=>(![X319:$i, X320:$i > $o]:((?[X321:$i]:(((in @ X321 @ X319)&(X320 @ X321)))=>((dsetconstr @ X319 @ (^[Z0/* 3 */:$i]:((X320 @ Z0))))!=(emptyset))))=>(![X428:$i > $o, X429:$i]:(((in @ X429 @ emptyset)=>(X428 @ X429)))=>(![X322:$i, X323:$i > $o]:((~(![X324:$i]:(((in @ X324 @ X322)=>(X323 @ X324))))=>?[X325:$i]:(((in @ X325 @ X322)&~(X323 @ X325)))))=>(![X326:$i, X327:$i > $o]:((![X328:$i]:(((in @ X328 @ X326)=>~(X327 @ X328)))=>~(?[X329:$i]:(((in @ X329 @ X326)&(X327 @ X329))))))=>(![X424:$i, X425:$i > $o]:((~(?[X426:$i]:(((in @ X426 @ X424)&(X425 @ X426))))=>![X427:$i]:(((in @ X427 @ X424)=>~(X425 @ X427)))))=>(![X330:$i, X331:$i > $o]:((?[X332:$i]:(((in @ X332 @ X330)&~(X331 @ X332)))=>~(![X333:$i]:(((in @ X333 @ X330)=>(X331 @ X333))))))=>(![X423:$o]:(((X423)=>(in @ emptyset @ (prop2set @ ((X423))))))=>((prop2set2propI)=>(![X419:$i, X420:$i > $o]:((~(?[X421:$i]:(((in @ X421 @ X419)&(X420 @ X421))))=>![X422:$i]:(((in @ X422 @ X419)=>~(X420 @ X422)))))=>(![X415:$i, X416:$i > $o]:((~(![X417:$i]:(((in @ X417 @ X415)=>(X416 @ X417))))=>?[X418:$i]:(((in @ X418 @ X415)&~(X416 @ X418)))))=>(![X410:$i > $o]:((?[X411:$i]:(((X410 @ X411)&![X412:$i]:(((X410 @ X412)=>((X411)=(X412))))))=>?[X413:$i]:(((X410 @ X413)&![X414:$i]:(((X410 @ X414)=>((X413)=(X414))))))))=>(![X334:$i > $o]:((?[X335:$i]:((X334 @ X335))=>(![X336:$i, X337:$i]:(((X334 @ X336)=>((X334 @ X337)=>((X336)=(X337)))))=>?[X338:$i]:(((X334 @ X338)&![X339:$i]:(((X334 @ X339)=>((X338)=(X339)))))))))=>(![X405:$i > $o]:((?[X406:$i]:(![X407:$i]:(((X405 @ X407)<=>((X407)=(X406)))))=>?[X408:$i]:(((X405 @ X408)&![X409:$i]:(((X405 @ X409)=>((X408)=(X409))))))))=>(![X401:$i, X402:$i]:((((X401)=(X402))=>![X403:$i, X404:$i]:((((X403)=(X404))=>((in @ X403 @ X401)=>(in @ X404 @ X402))))))=>(![X340:$i, X341:$i]:((((X340)=(X341))=>![X342:$i, X343:$i]:((((X342)=(X343))=>((in @ X342 @ X340)<=>(in @ X343 @ X341))))))=>(![X396:$i > $o]:((?[X397:$i]:(((X396 @ X397)&![X398:$i]:(((X396 @ X398)=>((X397)=(X398))))))=>![X399:$i, X400:$i]:(((X396 @ X399)=>((X396 @ X400)=>((X399)=(X400)))))))=>(![X344:$i > $o, X345:$i > $o]:((![X346:$i, X347:$i]:((((X346)=(X347))=>((X344 @ X346)<=>(X345 @ X347))))=>(?[X348:$i]:(((X344 @ X348)&![X349:$i]:(((X344 @ X349)=>((X348)=(X349))))))<=>?[X350:$i]:(((X345 @ X350)&![X351:$i]:(((X345 @ X351)=>((X350)=(X351)))))))))=>(((emptyset)=(emptyset))=>(![X392:$i, X393:$i]:((((X392)=(X393))=>![X394:$i, X395:$i]:((((X394)=(X395))=>((setadjoin @ X392 @ X394)=(setadjoin @ X393 @ X395))))))=>(![X352:$i, X353:$i]:((((X352)=(X353))=>((powerset @ X352)=(powerset @ X353))))=>(![X390:$i, X391:$i]:((((X390)=(X391))=>((setunion @ X390)=(setunion @ X391))))=>(((omega)=(omega))=>(![X385:$i > $o]:((?[X386:$i]:(((X385 @ X386)&![X387:$i]:(((X385 @ X387)=>((X386)=(X387))))))=>![X388:$i, X389:$i]:(((X385 @ X388)=>((X385 @ X389)=>((X388)=(X389)))))))=>(![X354:$i > $o, X355:$i > $o]:((![X356:$i, X357:$i]:((((X356)=(X357))=>((X354 @ X356)<=>(X355 @ X357))))=>(?[X358:$i]:(((X354 @ X358)&![X359:$i]:(((X354 @ X359)=>((X358)=(X359))))))=>(?[X360:$i]:(((X355 @ X360)&![X361:$i]:(((X355 @ X361)=>((X360)=(X361))))))=>((descr @ (^[Z0/* 3 */:$i]:((X354 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X355 @ Z0)))))))))=>(![X379:$i, X380:$i]:((((X379)=(X380))=>![X381:$i > $o, X382:$i > $o]:((![X383:$i]:(((in @ X383 @ X379)=>![X384:$i]:(((in @ X384 @ X380)=>(((X383)=(X384))=>((X381 @ X383)<=>(X382 @ X384)))))))=>((dsetconstr @ X379 @ (^[Z0/* 3 */:$i]:((X381 @ Z0))))=(dsetconstr @ X380 @ (^[Z0/* 3 */:$i]:((X382 @ Z0)))))))))=>(![X362:$i, X363:$i]:((![X364:$i]:(((in @ X364 @ X362)=>(in @ X364 @ X363)))=>(subset @ X362 @ X363)))=>(![X365:$i, X366:$i]:((((X365)=(X366))=>(subset @ X366 @ X365)))=>(![X367:$i, X368:$i]:((((X367)=(X368))=>(subset @ X367 @ X368)))=>(![X376:$i, X377:$i]:((![X378:$i]:(((in @ X378 @ X376)=>(in @ X378 @ X377)))=>(subset @ X376 @ X377)))=>(![X375:$i]:((subset @ emptyset @ X375))=>(![X369:$i, X370:$i, X371:$i]:(((subset @ X369 @ X370)=>((in @ X371 @ X369)=>(in @ X371 @ X370))))=>(![X372:$i, X373:$i, X374:$i]:(((subset @ X372 @ X373)=>(~(in @ X374 @ X373)=>~(in @ X374 @ X372))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[notsubsetI]), setextAx]), noeltsimpempty]), subPowSU]), emptyI]), quantDeMorgan1]), setext]), c_0_99]), prop2setE]), quantDeMorgan2]), c_0_100]), c_0_101]), quantDeMorgan4]), c_0_102]), c_0_103]), c_0_104]), c_0_105]), wellorderingAx]), c_0_106]), in__Cong]), omegaSAx]), setadjoinAx]), emptysetAx]), c_0_107]), emptyset__Cong]), c_0_108]), uniqinunit]), powerset__Cong]), omega__Cong]), c_0_109]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetE]), subsetE2]), notinsingleton]), emptysetsubset]), subsetI2]), c_0_110]), c_0_111]), setunion__Cong]), setadjoin__Cong]), inCongP]), c_0_112]), c_0_113]), notdallE]), notdexE]), prop2setI]), quantDeMorgan3]), vacuousDall]), upairsetIR]), upairsetIL]), upairsetE]), c_0_114]), singletonsswitch]), eqinunit]), c_0_115]), c_0_116]), setunionI]), powersetE]), emptyInPowerset]), c_0_117]), setadjoinOr]), setadjoinE]), setadjoinIR]), c_0_118]), setunionE]), emptyinPowerset]), powersetI]), emptyinunitempty]), setadjoinIL]), c_0_119]), c_0_120]), c_0_121]), notinemptyset]), emptysetimpfalse]), emptysetE]), foundationAx]), omegaIndAx]), omega0Ax]), setunionAx]), powersetAx])]), c_0_122])).
0.73/240.05	thf(c_0_124, negated_conjecture, ![X534:$i, X535:$i, X537:$i, X538:$i, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X544:$i, X545:$i, X547:$i, X548:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X556:$i, X557:$i > $i > $o, X558:$i, X560:$i, X563:$i, X565:$i, X566:$i, X567:$i, X568:$i, X570:$i, X571:$i > $o, X572:$i, X574:$i, X575:$i > $o, X576:$i, X577:$i, X578:$i > $o, X579:$i, X580:$i, X581:$i > $o, X582:$i, X583:$i > $o, X584:$i, X587:$i, X588:$o, X589:$i, X590:$i, X591:$o, X592:$i, X593:$i, X594:$i > $o, X595:$i, X598:$i, X599:$i, X602:$i, X604:$i, X606:$i, X607:$i > $o, X608:$i, X609:$i, X611:$i, X612:$i > $o, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$o, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$o, X644:$i, X645:$i, X646:$i > $o, X647:$i, X650:$i, X651:$i, X652:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i > $o, X671:$i, X672:$i > $o, X673:$i, X674:$i, X675:$i > $o, X676:$i, X678:$i, X679:$i > $o, X681:$i, X682:$i, X683:$i > $o, X685:$i, X686:$i, X687:$i > $o, X688:$i, X690:$o, X691:$i, X692:$i > $o, X694:$i, X695:$i, X696:$i > $o, X697:$i, X699:$i > $o, X700:$i, X703:$i, X704:$i > $o, X705:$i, X709:$i, X710:$i > $o, X711:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i > $o, X724:$i, X726:$i, X727:$i, X728:$i > $o, X729:$i > $o, X732:$i, X735:$i, X736:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i > $o, X749:$i, X751:$i, X752:$i, X753:$i > $o, X754:$i > $o, X757:$i, X759:$i, X761:$i, X762:$i, X763:$i > $o, X764:$i > $o, X767:$i, X768:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i]:((((~(in @ (esk1_2 @ X534 @ X535) @ X534)|~(in @ (esk1_2 @ X534 @ X535) @ X535)|((X534)=(X535)))&((in @ (esk1_2 @ X534 @ X535) @ X534)|(in @ (esk1_2 @ X534 @ X535) @ X535)|((X534)=(X535))))&(~(in @ X537 @ emptyset)&(((~(in @ X540 @ (setadjoin @ X538 @ X539))|(((X540)=(X538))|(in @ X540 @ X539)))&((((X540)!=(X538))|(in @ X540 @ (setadjoin @ X538 @ X539)))&(~(in @ X540 @ X539)|(in @ X540 @ (setadjoin @ X538 @ X539)))))&(((~(in @ X542 @ (powerset @ X541))|(~(in @ X543 @ X542)|(in @ X543 @ X541)))&(((in @ (esk2_2 @ X544 @ X545) @ X545)|(in @ X545 @ (powerset @ X544)))&(~(in @ (esk2_2 @ X544 @ X545) @ X544)|(in @ X545 @ (powerset @ X544)))))&(((((in @ X548 @ (esk3_2 @ X547 @ X548))|~(in @ X548 @ (setunion @ X547)))&((in @ (esk3_2 @ X547 @ X548) @ X547)|~(in @ X548 @ (setunion @ X547))))&(~(in @ X551 @ X552)|~(in @ X552 @ X550)|(in @ X551 @ (setunion @ X550))))&((in @ emptyset @ omega)&((~(in @ X553 @ omega)|(in @ (setadjoin @ X553 @ X553) @ omega))&(((((in @ (esk4_1 @ X554) @ omega)|~(in @ emptyset @ X554)|(~(in @ X556 @ omega)|(in @ X556 @ X554)))&((in @ (esk4_1 @ X554) @ X554)|~(in @ emptyset @ X554)|(~(in @ X556 @ omega)|(in @ X556 @ X554))))&(~(in @ (setadjoin @ (esk4_1 @ X554) @ (esk4_1 @ X554)) @ X554)|~(in @ emptyset @ X554)|(~(in @ X556 @ omega)|(in @ X556 @ X554))))&((((((in @ (esk8_3 @ X557 @ X558 @ X563) @ X558)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|(in @ (esk5_2 @ X557 @ X558) @ X558))&((X557 @ (esk8_3 @ X557 @ X558 @ X563) @ X563)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|(in @ (esk5_2 @ X557 @ X558) @ X558)))&(~(in @ X566 @ X558)|~(X557 @ X566 @ X565)|(in @ X565 @ (esk7_2 @ X557 @ X558))|(in @ (esk5_2 @ X557 @ X558) @ X558)))&(((((in @ (esk8_3 @ X557 @ X558 @ X563) @ X558)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|((X557 @ (esk5_2 @ X557 @ X558) @ (esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560)))&((X557 @ (esk8_3 @ X557 @ X558 @ X563) @ X563)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|((X557 @ (esk5_2 @ X557 @ X558) @ (esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560))))&(~(in @ X566 @ X558)|~(X557 @ X566 @ X565)|(in @ X565 @ (esk7_2 @ X557 @ X558))|((X557 @ (esk5_2 @ X557 @ X558) @ (esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560))))&((((in @ (esk8_3 @ X557 @ X558 @ X563) @ X558)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|(((X560)!=(esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560)))&((X557 @ (esk8_3 @ X557 @ X558 @ X563) @ X563)|~(in @ X563 @ (esk7_2 @ X557 @ X558))|(((X560)!=(esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560))))&(~(in @ X566 @ X558)|~(X557 @ X566 @ X565)|(in @ X565 @ (esk7_2 @ X557 @ X558))|(((X560)!=(esk6_3 @ X557 @ X558 @ X560))|~(X557 @ (esk5_2 @ X557 @ X558) @ X560))))))&((((in @ (esk9_1 @ X567) @ X567)|~(in @ X568 @ X567))&(~(in @ X570 @ (esk9_1 @ X567))|~(in @ X570 @ X567)|~(in @ X568 @ X567)))&((epred1_0)&((((X571 @ (esk10_2 @ X571 @ X572))|~(X571 @ X572)|(X571 @ (descr @ (^[Z0/* 3 */:$i]:((X571 @ Z0))))))&(((X572)!=(esk10_2 @ X571 @ X572))|~(X571 @ X572)|(X571 @ (descr @ (^[Z0/* 3 */:$i]:((X571 @ Z0)))))))&((~(in @ X576 @ X574)|(~(X575 @ X576)|(in @ X576 @ (dsetconstr @ X574 @ (^[Z0/* 3 */:$i]:((X575 @ Z0)))))))&((~(in @ X579 @ (dsetconstr @ X577 @ (^[Z0/* 3 */:$i]:((X578 @ Z0)))))|(in @ X579 @ X577))&((~(in @ X582 @ (dsetconstr @ X580 @ (^[Z0/* 3 */:$i]:((X581 @ Z0)))))|(X581 @ X582))&(((((X583 @ (esk12_1 @ X583))|((X583 @ (esk11_2 @ X583 @ X584))|~(X583 @ X584)))&(~(X583 @ X587)|((esk12_1 @ X583)=(X587))|((X583 @ (esk11_2 @ X583 @ X584))|~(X583 @ X584))))&(((X583 @ (esk12_1 @ X583))|(((X584)!=(esk11_2 @ X583 @ X584))|~(X583 @ X584)))&(~(X583 @ X587)|((esk12_1 @ X583)=(X587))|(((X584)!=(esk11_2 @ X583 @ X584))|~(X583 @ X584)))))&((~(in @ X589 @ (prop2set @ ((X588))))|(X588))&((~(in @ X590 @ emptyset)|(X591))&(~(in @ X592 @ emptyset)&(~(in @ X593 @ emptyset)&((((X594 @ (esk13_2 @ X594 @ X595))|~(X594 @ X595)|(X594 @ (esk14_1 @ X594)))&(((X595)!=(esk13_2 @ X594 @ X595))|~(X594 @ X595)|(X594 @ (esk14_1 @ 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(esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754)))))&(((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|(~(X753 @ (esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|(~(X753 @ (esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754))))))&((((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|((X753 @ (esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|((X753 @ (esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754)))))&(((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))))))&((((in @ (esk50_4 @ X761 @ X762 @ X763 @ X764) @ X761)|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&(((in @ (esk51_4 @ X761 @ X762 @ X763 @ X764) @ X762)|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((((esk50_4 @ X761 @ X762 @ X763 @ X764)=(esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((~(X763 @ (esk50_4 @ X761 @ X762 @ X763 @ X764))|~(X764 @ (esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((X763 @ (esk50_4 @ X761 @ X762 @ X763 @ X764))|(X764 @ (esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))))))&((((in @ (esk52_2 @ X767 @ X768) @ X767)|(subset @ X767 @ X768))&(~(in @ (esk52_2 @ X767 @ X768) @ X768)|(subset @ X767 @ X768)))&((((X770)!=(X771))|(subset @ X771 @ X770))&((((X772)!=(X773))|(subset @ X772 @ X773))&((((in @ (esk53_2 @ X774 @ X775) @ X774)|(subset @ X774 @ X775))&(~(in @ (esk53_2 @ X774 @ X775) @ X775)|(subset @ X774 @ X775)))&((subset @ emptyset @ X777)&((~(subset @ X778 @ X779)|(~(in @ X780 @ X778)|(in @ X780 @ X779)))&((~(subset @ X781 @ X782)|((in @ X783 @ X782)|~(in @ X783 @ X781)))&((in @ esk56_0 @ esk54_0)&(~(in @ esk56_0 @ esk55_0)&(subset @ esk54_0 @ esk55_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])])])])).
0.73/240.05	thf(c_0_125, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_124])).
0.73/240.05	thf(c_0_126, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_124])).
0.73/240.05	thf(c_0_127, negated_conjecture, ![X2:$i]:(((in @ esk56_0 @ X2)|~((subset @ esk54_0 @ X2)))), inference(spm,[status(thm)],[c_0_125, c_0_126])).
0.73/240.05	thf(c_0_128, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_124])).
0.73/240.05	thf(c_0_129, negated_conjecture, ~((in @ esk56_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_124])).
0.73/240.05	thf(c_0_130, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_129]), ['proof']).
0.73/240.05	# SZS output end CNFRefutation
0.73/240.05	# Parsed axioms                        : 182
0.73/240.05	# Removed by relevancy pruning/SinE    : 98
0.73/240.05	# Initial clauses                      : 194
0.73/240.05	# Removed in clause preprocessing      : 12
0.73/240.05	# Initial clauses in saturation        : 182
0.73/240.05	# Processed clauses                    : 266
0.73/240.05	# ...of these trivial                  : 3
0.73/240.05	# ...subsumed                          : 18
0.73/240.05	# ...remaining for further processing  : 245
0.73/240.05	# Other redundant clauses eliminated   : 13
0.73/240.05	# Clauses deleted for lack of memory   : 0
0.73/240.05	# Backward-subsumed                    : 0
0.73/240.05	# Backward-rewritten                   : 3
0.73/240.05	# Generated clauses                    : 166
0.73/240.05	# ...of the previous two non-redundant : 140
0.73/240.05	# ...aggressively subsumed             : 0
0.73/240.05	# Contextual simplify-reflections      : 0
0.73/240.05	# Paramodulations                      : 140
0.73/240.05	# Factorizations                       : 0
0.73/240.05	# NegExts                              : 0
0.73/240.05	# Equation resolutions                 : 13
0.73/240.05	# Disequality decompositions           : 0
0.73/240.05	# Total rewrite steps                  : 39
0.73/240.05	# ...of those cached                   : 25
0.73/240.05	# Propositional unsat checks           : 0
0.73/240.05	#    Propositional check models        : 0
0.73/240.05	#    Propositional check unsatisfiable : 0
0.73/240.05	#    Propositional clauses             : 0
0.73/240.05	#    Propositional clauses after purity: 0
0.73/240.05	#    Propositional unsat core size     : 0
0.73/240.05	#    Propositional preprocessing time  : 0.000
0.73/240.05	#    Propositional encoding time       : 0.000
0.73/240.05	#    Propositional solver time         : 0.000
0.73/240.05	#    Success case prop preproc time    : 0.000
0.73/240.05	#    Success case prop encoding time   : 0.000
0.73/240.05	#    Success case prop solver time     : 0.000
0.73/240.05	# Current number of processed clauses  : 69
0.73/240.05	#    Positive orientable unit clauses  : 17
0.73/240.05	#    Positive unorientable unit clauses: 0
0.73/240.05	#    Negative unit clauses             : 2
0.73/240.05	#    Non-unit-clauses                  : 50
0.73/240.05	# Current number of unprocessed clauses: 217
0.73/240.05	# ...number of literals in the above   : 704
0.73/240.05	# Current number of archived formulas  : 0
0.73/240.05	# Current number of archived clauses   : 164
0.73/240.05	# Clause-clause subsumption calls (NU) : 6569
0.73/240.05	# Rec. Clause-clause subsumption calls : 1919
0.73/240.05	# Non-unit clause-clause subsumptions  : 13
0.73/240.05	# Unit Clause-clause subsumption calls : 36
0.73/240.05	# Rewrite failures with RHS unbound    : 0
0.73/240.05	# BW rewrite match attempts            : 8
0.73/240.05	# BW rewrite match successes           : 3
0.73/240.05	# Condensation attempts                : 266
0.73/240.05	# Condensation successes               : 3
0.73/240.05	# Termbank termtop insertions          : 31062
0.73/240.05	# Search garbage collected termcells   : 8024
0.73/240.05	
0.73/240.05	# -------------------------------------------------
0.73/240.05	# User time                : 0.043 s
0.73/240.05	# System time              : 0.012 s
0.73/240.05	# Total time               : 0.055 s
0.73/240.05	# Maximum resident set size: 4336 pages
0.73/240.05	
0.73/240.05	# -------------------------------------------------
0.73/240.05	# User time                : 0.047 s
0.73/240.05	# System time              : 0.015 s
0.73/240.05	# Total time               : 0.062 s
0.73/240.05	# Maximum resident set size: 1920 pages
0.73/240.05	% E exiting
0.73/240.05	% E exiting
0.73/240.05	EOF
