0.07/0.13	% Problem    : Vampire---4.8_1970 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : run_E %s %d THM
0.14/0.35	% Computer : n014.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 12:51:24 EDT 2023
0.14/0.35	% CPUTime    : 
0.21/0.52	Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970
0.37/0.52	# Version: 3.1pre001-ho
0.37/0.82	# Preprocessing class: HSMSSLSSLLLCHSA.
0.37/0.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.82	# Starting new_ho_9 with 900s (5) cores
0.37/0.82	# Starting post_as_ho9 with 180s (1) cores
0.37/0.82	# Starting sh2lt with 180s (1) cores
0.37/0.82	# Starting full_lambda_10 with 180s (1) cores
0.37/0.82	# new_ho_9 with pid 2291 completed with status 0
0.37/0.82	# Result found by new_ho_9
0.37/0.82	# Preprocessing class: HSMSSLSSLLLCHSA.
0.37/0.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.82	# Starting new_ho_9 with 900s (5) cores
0.37/0.82	# No SInE strategy applied
0.37/0.82	# Search class: HGHSM-FSMM31-SHSMMSBN
0.37/0.82	# partial match(2): HGHSM-FSLM31-SHFMMSBN
0.37/0.82	# Scheduled 6 strats onto 5 cores with 900 seconds (900 total)
0.37/0.82	# Starting ehoh_best3 with 487s (1) cores
0.37/0.82	# Starting new_ho_9 with 91s (1) cores
0.37/0.82	# Starting new_bool_3 with 82s (1) cores
0.37/0.82	# Starting new_bool_6 with 82s (1) cores
0.37/0.82	# Starting ehoh_best5 with 82s (1) cores
0.37/0.82	# new_ho_9 with pid 2300 completed with status 0
0.37/0.82	# Result found by new_ho_9
0.37/0.82	# Preprocessing class: HSMSSLSSLLLCHSA.
0.37/0.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.82	# Starting new_ho_9 with 900s (5) cores
0.37/0.82	# No SInE strategy applied
0.37/0.82	# Search class: HGHSM-FSMM31-SHSMMSBN
0.37/0.82	# partial match(2): HGHSM-FSLM31-SHFMMSBN
0.37/0.82	# Scheduled 6 strats onto 5 cores with 900 seconds (900 total)
0.37/0.82	# Starting ehoh_best3 with 487s (1) cores
0.37/0.82	# Starting new_ho_9 with 91s (1) cores
0.37/0.82	# Preprocessing time       : 0.002 s
0.37/0.82	# Presaturation interreduction done
0.37/0.82	
0.37/0.82	# Proof found!
0.37/0.82	# SZS status Theorem
0.37/0.82	# SZS output start CNFRefutation
0.37/0.82	thf(decl_22, type, in: $i > $i > $o).
0.37/0.82	thf(decl_23, type, exu: ($i > $o) > $o).
0.37/0.82	thf(decl_24, type, setextAx: $o).
0.37/0.82	thf(decl_25, type, emptyset: $i).
0.37/0.82	thf(decl_26, type, emptysetAx: $o).
0.37/0.82	thf(decl_27, type, setadjoin: $i > $i > $i).
0.37/0.82	thf(decl_28, type, setadjoinAx: $o).
0.37/0.82	thf(decl_29, type, powerset: $i > $i).
0.37/0.82	thf(decl_30, type, powersetAx: $o).
0.37/0.82	thf(decl_31, type, setunion: $i > $i).
0.37/0.82	thf(decl_32, type, setunionAx: $o).
0.37/0.82	thf(decl_33, type, omega: $i).
0.37/0.82	thf(decl_34, type, omega0Ax: $o).
0.37/0.82	thf(decl_35, type, omegaSAx: $o).
0.37/0.82	thf(decl_36, type, omegaIndAx: $o).
0.37/0.82	thf(decl_37, type, replAx: $o).
0.37/0.82	thf(decl_38, type, foundationAx: $o).
0.37/0.82	thf(decl_39, type, wellorderingAx: $o).
0.37/0.82	thf(decl_40, type, descr: ($i > $o) > $i).
0.37/0.82	thf(decl_41, type, descrp: $o).
0.37/0.82	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_43, type, dsetconstrI: $o).
0.37/0.82	thf(decl_44, type, dsetconstrEL: $o).
0.37/0.82	thf(decl_45, type, dsetconstrER: $o).
0.37/0.82	thf(decl_46, type, exuE1: $o).
0.37/0.82	thf(decl_47, type, prop2set: $o > $i).
0.37/0.82	thf(decl_48, type, prop2setE: $o).
0.37/0.82	thf(decl_49, type, emptysetE: $o).
0.37/0.82	thf(decl_50, type, emptysetimpfalse: $o).
0.37/0.82	thf(decl_51, type, notinemptyset: $o).
0.37/0.82	thf(decl_52, type, exuE3e: $o).
0.37/0.82	thf(decl_53, type, setext: $o).
0.37/0.82	thf(decl_54, type, emptyI: $o).
0.37/0.82	thf(decl_55, type, noeltsimpempty: $o).
0.37/0.82	thf(decl_56, type, setbeta: $o).
0.37/0.82	thf(decl_57, type, nonempty: $i > $o).
0.37/0.82	thf(decl_58, type, nonemptyE1: $o).
0.37/0.82	thf(decl_59, type, nonemptyI: $o).
0.37/0.82	thf(decl_60, type, nonemptyI1: $o).
0.37/0.82	thf(decl_61, type, setadjoinIL: $o).
0.37/0.82	thf(decl_62, type, emptyinunitempty: $o).
0.37/0.82	thf(decl_63, type, setadjoinIR: $o).
0.37/0.82	thf(decl_64, type, setadjoinE: $o).
0.37/0.82	thf(decl_65, type, setadjoinOr: $o).
0.37/0.82	thf(decl_66, type, setoftrueEq: $o).
0.37/0.82	thf(decl_67, type, powersetI: $o).
0.37/0.82	thf(decl_68, type, emptyinPowerset: $o).
0.37/0.82	thf(decl_69, type, emptyInPowerset: $o).
0.37/0.82	thf(decl_70, type, powersetE: $o).
0.37/0.82	thf(decl_71, type, setunionI: $o).
0.37/0.82	thf(decl_72, type, setunionE: $o).
0.37/0.82	thf(decl_73, type, subPowSU: $o).
0.37/0.82	thf(decl_74, type, exuE2: $o).
0.37/0.82	thf(decl_75, type, nonemptyImpWitness: $o).
0.37/0.82	thf(decl_76, type, uniqinunit: $o).
0.37/0.82	thf(decl_77, type, notinsingleton: $o).
0.37/0.82	thf(decl_78, type, eqinunit: $o).
0.37/0.82	thf(decl_79, type, singletonsswitch: $o).
0.37/0.82	thf(decl_80, type, upairsetE: $o).
0.37/0.82	thf(decl_81, type, upairsetIL: $o).
0.37/0.82	thf(decl_82, type, upairsetIR: $o).
0.37/0.82	thf(decl_83, type, emptyE1: $o).
0.37/0.82	thf(decl_84, type, vacuousDall: $o).
0.37/0.82	thf(decl_85, type, quantDeMorgan1: $o).
0.37/0.82	thf(decl_86, type, quantDeMorgan2: $o).
0.37/0.82	thf(decl_87, type, quantDeMorgan3: $o).
0.37/0.82	thf(decl_88, type, quantDeMorgan4: $o).
0.37/0.82	thf(decl_89, type, prop2setI: $o).
0.37/0.82	thf(decl_90, type, set2prop: $i > $o).
0.37/0.82	thf(decl_91, type, prop2set2propI: $o).
0.37/0.82	thf(decl_92, type, notdexE: $o).
0.37/0.82	thf(decl_93, type, notdallE: $o).
0.37/0.82	thf(decl_94, type, exuI1: $o).
0.37/0.82	thf(decl_95, type, exuI3: $o).
0.37/0.82	thf(decl_96, type, exuI2: $o).
0.37/0.82	thf(decl_97, type, inCongP: $o).
0.37/0.82	thf(decl_98, type, in__Cong: $o).
0.37/0.82	thf(decl_99, type, exuE3u: $o).
0.37/0.82	thf(decl_100, type, epred1_0: $o).
0.37/0.82	thf(decl_101, type, esk1_2: $i > $i > $i).
0.37/0.82	thf(decl_102, type, esk2_2: $i > $i > $i).
0.37/0.82	thf(decl_103, type, esk3_2: $i > $i > $i).
0.37/0.82	thf(decl_104, type, esk4_1: $i > $i).
0.37/0.82	thf(decl_105, type, esk5_2: ($i > $i > $o) > $i > $i).
0.37/0.82	thf(decl_106, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.37/0.82	thf(decl_107, type, esk7_2: ($i > $i > $o) > $i > $i).
0.37/0.82	thf(decl_108, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.37/0.82	thf(decl_109, type, esk9_1: $i > $i).
0.37/0.82	thf(decl_110, type, esk10_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_111, type, esk11_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_112, type, esk12_1: ($i > $o) > $i).
0.37/0.82	thf(decl_113, type, esk13_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_114, type, esk14_1: ($i > $o) > $i).
0.37/0.82	thf(decl_115, type, esk15_2: $i > $i > $i).
0.37/0.82	thf(decl_116, type, esk16_2: $i > $i > $i).
0.37/0.82	thf(decl_117, type, esk17_1: $i > $i).
0.37/0.82	thf(decl_118, type, esk18_1: $i > $i).
0.37/0.82	thf(decl_119, type, esk19_1: $i > $i).
0.37/0.82	thf(decl_120, type, esk20_2: $i > $i > $i).
0.37/0.82	thf(decl_121, type, esk21_3: $i > $i > $o > $i).
0.37/0.82	thf(decl_122, type, esk22_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_123, type, esk23_1: ($i > $o) > $i).
0.37/0.82	thf(decl_124, type, esk24_1: $i > $i).
0.37/0.82	thf(decl_125, type, esk25_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_126, type, esk26_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_127, type, esk27_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_128, type, esk28_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_129, type, esk29_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_130, type, esk30_2: $i > ($i > $o) > $i).
0.37/0.82	thf(decl_131, type, esk31_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_132, type, esk32_1: ($i > $o) > $i).
0.37/0.82	thf(decl_133, type, esk33_1: ($i > $o) > $i).
0.37/0.82	thf(decl_134, type, esk34_1: ($i > $o) > $i).
0.37/0.82	thf(decl_135, type, esk35_1: ($i > $o) > $i).
0.37/0.82	thf(decl_136, type, esk36_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_137, type, esk37_1: ($i > $o) > $i).
0.37/0.82	thf(decl_138, type, esk38_2: ($i > $o) > $i > $i).
0.37/0.82	thf(decl_139, type, epred2_0: $i > $o).
0.37/0.82	thf(decl_140, type, epred3_0: $i > $o).
0.37/0.82	thf(decl_141, type, esk39_1: $i > $i).
0.37/0.82	thf(decl_142, type, esk40_1: $i > $i).
0.37/0.82	thf(decl_143, type, esk41_0: $i).
0.37/0.82	thf(decl_144, type, esk42_0: $i).
0.37/0.82	thf(decl_151, type, epred5_0: $o).
0.37/0.82	thf(decl_152, type, epred6_0: $o).
0.37/0.82	thf(decl_153, type, epred7_0: $o).
0.37/0.82	thf(decl_154, type, epred8_0: $o).
0.37/0.82	thf(decl_155, type, epred9_0: $o).
0.37/0.82	thf(decl_156, type, epred10_0: $o).
0.37/0.82	thf(decl_157, type, epred11_0: $o).
0.37/0.82	thf(decl_158, type, epred12_0: $o).
0.37/0.82	thf(decl_159, type, epred13_0: $o).
0.37/0.82	thf(decl_160, type, epred14_0: $o).
0.37/0.82	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', replAx)).
0.37/0.82	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exu)).
0.37/0.82	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', descrp)).
0.37/0.82	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exuE1)).
0.37/0.82	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exuE3e)).
0.37/0.82	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', nonempty)).
0.37/0.82	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', nonemptyI)).
0.37/0.82	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exuE2)).
0.37/0.82	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.GAHQsS4oKN/Vampire---4.8_1970', exuI1)).
0.37/0.82	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exuI3)).
0.37/0.82	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exuI2)).
0.37/0.82	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.GAHQsS4oKN/Vampire---4.8_1970', exuE3u)).
0.37/0.82	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', dsetconstrI)).
0.37/0.82	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', dsetconstrEL)).
0.37/0.82	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', dsetconstrER)).
0.37/0.82	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setbeta)).
0.37/0.82	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', nonemptyE1)).
0.37/0.82	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', nonemptyI1)).
0.37/0.82	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setoftrueEq)).
0.37/0.82	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', nonemptyImpWitness)).
0.37/0.82	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.GAHQsS4oKN/Vampire---4.8_1970', emptyE1)).
0.37/0.82	thf(exu__Cong, conjecture, (((emptysetAx)=>(((((omega0Ax)=>(((omegaIndAx)=>(((((descrp)=>((dsetconstrI)=>((((exuE1)=>((((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>(((((((powersetE)=>(((setunionE)=>((subPowSU)=>((exuE2)=>(((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>(((upairsetIR)=>((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>((((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>(((((inCongP)=>((in__Cong)=>(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))<=(exuE3u))))<=(exuI2))<=(exuI3))<=(exuI1))))))<=(quantDeMorgan4))<=(quantDeMorgan3))))<=(vacuousDall))))<=(upairsetIL)))))))<=(nonemptyImpWitness)))))<=(setunionI)))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr)))))))<=(nonemptyI))<=(nonemptyE1))))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))<=(prop2setE)))<=(dsetconstrER))<=(dsetconstrEL))))<=(wellorderingAx))<=(foundationAx))<=(replAx)))<=(omegaSAx)))<=(setunionAx))<=(powersetAx))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', exu__Cong)).
0.37/0.82	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setextAx)).
0.37/0.82	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptysetAx)).
0.37/0.82	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setadjoinAx)).
0.37/0.82	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', powersetAx)).
0.37/0.82	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setunionAx)).
0.37/0.82	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', omega0Ax)).
0.37/0.82	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', omegaSAx)).
0.37/0.82	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.GAHQsS4oKN/Vampire---4.8_1970', omegaIndAx)).
0.37/0.82	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.GAHQsS4oKN/Vampire---4.8_1970', foundationAx)).
0.37/0.82	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', wellorderingAx)).
0.37/0.82	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', prop2setE)).
0.37/0.82	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptysetE)).
0.37/0.82	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptysetimpfalse)).
0.37/0.82	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', notinemptyset)).
0.37/0.82	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.GAHQsS4oKN/Vampire---4.8_1970', setext)).
0.37/0.82	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptyI)).
0.37/0.82	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', noeltsimpempty)).
0.37/0.82	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setadjoinIL)).
0.37/0.82	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptyinunitempty)).
0.37/0.82	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setadjoinIR)).
0.37/0.82	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setadjoinE)).
0.37/0.82	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setadjoinOr)).
0.37/0.82	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', powersetI)).
0.37/0.82	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptyinPowerset)).
0.37/0.82	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', emptyInPowerset)).
0.37/0.82	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', powersetE)).
0.37/0.82	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setunionI)).
0.37/0.82	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', setunionE)).
0.37/0.82	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', subPowSU)).
0.37/0.82	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', uniqinunit)).
0.37/0.82	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', notinsingleton)).
0.37/0.82	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', eqinunit)).
0.37/0.82	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', singletonsswitch)).
0.37/0.82	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', upairsetE)).
0.37/0.82	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', upairsetIL)).
0.37/0.82	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', upairsetIR)).
0.37/0.82	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', vacuousDall)).
0.37/0.82	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', quantDeMorgan1)).
0.37/0.82	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', quantDeMorgan2)).
0.37/0.82	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', quantDeMorgan3)).
0.37/0.82	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', quantDeMorgan4)).
0.37/0.82	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', prop2setI)).
0.37/0.82	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', prop2set2propI)).
0.37/0.82	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', notdexE)).
0.37/0.82	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', notdallE)).
0.37/0.82	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', inCongP)).
0.37/0.82	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GAHQsS4oKN/Vampire---4.8_1970', in__Cong)).
0.37/0.82	thf(c_0_69, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.37/0.82	thf(c_0_70, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.37/0.82	thf(c_0_71, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.37/0.82	thf(c_0_72, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.37/0.82	thf(c_0_73, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.37/0.82	thf(c_0_74, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.37/0.82	thf(c_0_75, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.37/0.82	thf(c_0_76, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.37/0.82	thf(c_0_77, 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])).
0.37/0.82	thf(c_0_78, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.37/0.82	thf(c_0_79, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.37/0.82	thf(c_0_80, 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])).
0.37/0.82	thf(c_0_81, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X209:$i]:((((X6 @ X2 @ X209))&![X210:$i]:((((X6 @ X2 @ X210))=>((X209)=(X210)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_69, c_0_70])).
0.37/0.82	thf(c_0_82, plain, ((descrp)=(![X1:$i > $o]:(((?[X211:$i]:((((X1 @ X211))&![X212:$i]:((((X1 @ X212))=>((X211)=(X212)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_71, c_0_70])).
0.37/0.82	thf(c_0_83, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.37/0.82	thf(c_0_84, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.37/0.82	thf(c_0_85, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.37/0.82	thf(c_0_86, plain, ((exuE1)=(![X1:$i > $o]:(((?[X213:$i]:((((X1 @ X213))&![X214:$i]:((((X1 @ X214))=>((X213)=(X214)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_72, c_0_70])).
0.37/0.82	thf(c_0_87, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X215:$i]:((((X1 @ X215))&![X216:$i]:((((X1 @ X216))=>((X215)=(X216)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_73, c_0_70])).
0.37/0.82	thf(c_0_88, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.37/0.82	thf(c_0_89, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_74])).
0.37/0.82	thf(c_0_90, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_75, c_0_74])).
0.37/0.82	thf(c_0_91, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_74])).
0.37/0.82	thf(c_0_92, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.37/0.82	thf(c_0_93, plain, ((exuE2)=(![X1:$i > $o]:(((?[X217:$i]:((((X1 @ X217))&![X218:$i]:((((X1 @ X218))=>((X217)=(X218)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_76, c_0_70])).
0.37/0.82	thf(c_0_94, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_74])).
0.37/0.82	thf(c_0_95, 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])).
0.37/0.82	thf(c_0_96, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X219:$i]:((((X1 @ X219))&![X220:$i]:((((X1 @ X220))=>((X219)=(X220))))))))))), inference(apply_def,[status(thm)],[c_0_77, c_0_70])).
0.37/0.82	thf(c_0_97, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X221:$i]:((((X1 @ X221))&![X222:$i]:((((X1 @ X222))=>((X221)=(X222)))))))))))), inference(apply_def,[status(thm)],[c_0_78, c_0_70])).
0.37/0.82	thf(c_0_98, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X223:$i]:((((X1 @ X223))&![X224:$i]:((((X1 @ X224))=>((X223)=(X224))))))))))), inference(apply_def,[status(thm)],[c_0_79, c_0_70])).
0.37/0.82	thf(c_0_99, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X225:$i]:((((X1 @ X225))&![X226:$i]:((((X1 @ X226))=>((X225)=(X226)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_80, c_0_70])).
0.37/0.82	thf(c_0_100, plain, ((epred1_0)<=>![X392:$i]:(?[X393:$i]:((((![X394:$i]:(((in @ X394 @ X393)=>![X395:$i]:(((in @ X395 @ X394)=>(in @ X395 @ X392)))))&![X396:$i, X397:$i]:((((in @ X396 @ X392)&(in @ X397 @ X392))=>(![X398:$i]:(((in @ X398 @ X393)=>((in @ X396 @ X398)<=>(in @ X397 @ X398))))=>((X396)=(X397))))))&![X399:$i, X400:$i]:((((in @ X399 @ X393)&(in @ X400 @ X393))=>(![X401:$i]:(((in @ X401 @ X399)=>(in @ X401 @ X400)))|![X402:$i]:(((in @ X402 @ X400)=>(in @ X402 @ X399)))))))&![X403:$i]:(((![X404:$i]:(((in @ X404 @ X403)=>(in @ X404 @ X392)))&?[X405:$i]:((in @ X405 @ X403)))=>?[X406:$i, X407:$i]:(((((in @ X406 @ X393)&(in @ X407 @ X403))&~(?[X408:$i]:(((in @ X408 @ X406)&(in @ X408 @ X403)))))&![X409:$i]:(((in @ X409 @ X393)=>(![X410:$i]:(((in @ X410 @ X409)=>(in @ X410 @ X406)))|(in @ X407 @ X409)))))))))))), introduced(definition)).
0.37/0.82	thf(c_0_101, negated_conjecture, ~((![X433:$i, X434:$i]:((![X435:$i]:(((in @ X435 @ X433)<=>(in @ X435 @ X434)))=>((X433)=(X434))))=>(![X227:$i]:(~(in @ X227 @ emptyset))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ (setadjoin @ X430 @ X431))<=>(((X432)=(X430))|(in @ X432 @ X431))))=>(![X427:$i, X428:$i]:(((in @ X428 @ (powerset @ X427))<=>![X429:$i]:(((in @ X429 @ X428)=>(in @ X429 @ X427)))))=>(![X424:$i, X425:$i]:(((in @ X425 @ (setunion @ X424))<=>?[X426:$i]:(((in @ X425 @ X426)&(in @ X426 @ X424)))))=>((in @ emptyset @ omega)=>(![X423:$i]:(((in @ X423 @ omega)=>(in @ (setadjoin @ X423 @ X423) @ omega)))=>(![X228:$i]:((((in @ emptyset @ X228)&![X229:$i]:((((in @ X229 @ omega)&(in @ X229 @ X228))=>(in @ (setadjoin @ X229 @ X229) @ X228))))=>![X230:$i]:(((in @ X230 @ omega)=>(in @ X230 @ X228)))))=>(![X415:$i > $i > $o, X416:$i]:((![X417:$i]:(((in @ X417 @ X416)=>?[X418:$i]:(((X415 @ X417 @ X418)&![X419:$i]:(((X415 @ X417 @ X419)=>((X418)=(X419))))))))=>?[X420:$i]:(![X421:$i]:(((in @ X421 @ X420)<=>?[X422:$i]:(((in @ X422 @ X416)&(X415 @ X422 @ X421))))))))=>(![X411:$i]:((?[X412:$i]:((in @ X412 @ X411))=>?[X413:$i]:(((in @ X413 @ X411)&~(?[X414:$i]:(((in @ X414 @ X413)&(in @ X414 @ X411))))))))=>((epred1_0)=>(![X231:$i > $o]:((?[X232:$i]:(((X231 @ X232)&![X233:$i]:(((X231 @ X233)=>((X232)=(X233))))))=>(X231 @ (descr @ (^[Z0/* 3 */:$i]:((X231 @ Z0)))))))=>(![X234:$i, X235:$i > $o, X236:$i]:(((in @ X236 @ X234)=>((X235 @ X236)=>(in @ X236 @ (dsetconstr @ X234 @ (^[Z0/* 3 */:$i]:((X235 @ Z0))))))))=>(![X389:$i, X390:$i > $o, X391:$i]:(((in @ X391 @ (dsetconstr @ X389 @ (^[Z0/* 3 */:$i]:((X390 @ Z0)))))=>(in @ X391 @ X389)))=>(![X386:$i, X387:$i > $o, X388:$i]:(((in @ X388 @ (dsetconstr @ X386 @ (^[Z0/* 3 */:$i]:((X387 @ Z0)))))=>(X387 @ X388)))=>(![X237:$i > $o]:((?[X238:$i]:(((X237 @ X238)&![X239:$i]:(((X237 @ X239)=>((X238)=(X239))))))=>?[X240:$i]:(((X237 @ X240)&![X241:$i]:(((X237 @ X241)=>((X240)=(X241))))))))=>(![X384:$o, X385:$i]:(((in @ X385 @ (prop2set @ ((X384))))=>(X384)))=>(![X382:$i]:(((in @ X382 @ emptyset)=>![X383:$o]:((X383))))=>(![X242:$i]:(~(in @ X242 @ emptyset))=>(![X381:$i]:(~(in @ X381 @ emptyset))=>(![X377:$i > $o]:((?[X378:$i]:(((X377 @ X378)&![X379:$i]:(((X377 @ X379)=>((X378)=(X379))))))=>?[X380:$i]:((X377 @ X380))))=>(![X243:$i, X244:$i]:((![X245:$i]:(((in @ X245 @ X243)=>(in @ X245 @ X244)))=>(![X246:$i]:(((in @ X246 @ X244)=>(in @ X246 @ X243)))=>((X243)=(X244)))))=>(![X375:$i]:((![X376:$i]:(~(in @ X376 @ X375))=>((X375)=(emptyset))))=>(![X247:$i]:((![X248:$i]:(~(in @ X248 @ X247))=>((X247)=(emptyset))))=>(![X249:$i, X250:$i > $o, X251:$i]:(((in @ X251 @ X249)=>((in @ X251 @ (dsetconstr @ X249 @ (^[Z0/* 3 */:$i]:((X250 @ Z0)))))<=>(X250 @ X251))))=>(![X373:$i]:((((X373)!=(emptyset))=>?[X374:$i]:((in @ X374 @ X373))))=>(![X370:$i, X371:$i > $o, X372:$i]:(((in @ X372 @ X370)=>((X371 @ X372)=>((dsetconstr @ X370 @ (^[Z0/* 3 */:$i]:((X371 @ Z0))))!=(emptyset)))))=>(![X252:$i]:((?[X253:$i]:((in @ X253 @ X252))=>((X252)!=(emptyset))))=>(![X254:$i, X255:$i]:((in @ X254 @ (setadjoin @ X254 @ X255)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X256:$i, X257:$i, X258:$i]:(((in @ X258 @ X257)=>(in @ X258 @ (setadjoin @ X256 @ X257))))=>(![X259:$i, X260:$i, X261:$i]:(((in @ X261 @ (setadjoin @ X259 @ X260))=>![X262:$o]:(((((X261)=(X259))=>(X262))=>(((in @ X261 @ X260)=>(X262))=>(X262))))))=>(![X367:$i, X368:$i, X369:$i]:(((in @ X369 @ (setadjoin @ X367 @ X368))=>(((X369)=(X367))|(in @ X369 @ X368))))=>(![X366:$i]:(((dsetconstr @ X366 @ (^[Z0/* 3 */:$i]:(($true))))=(X366)))=>(![X363:$i, X364:$i]:((![X365:$i]:(((in @ X365 @ X364)=>(in @ X365 @ X363)))=>(in @ X364 @ (powerset @ X363))))=>(![X362:$i]:((in @ emptyset @ (powerset @ X362)))=>(![X361:$i]:((in @ emptyset @ (powerset @ X361)))=>(![X263:$i, X264:$i, X265:$i]:(((in @ X264 @ (powerset @ X263))=>((in @ X265 @ X264)=>(in @ X265 @ X263))))=>(![X358:$i, X359:$i, X360:$i]:(((in @ X359 @ X360)=>((in @ X360 @ X358)=>(in @ X359 @ (setunion @ X358)))))=>(![X266:$i, X267:$i]:(((in @ X267 @ (setunion @ X266))=>![X268:$o]:((![X269:$i]:(((in @ X267 @ X269)=>((in @ X269 @ X266)=>(X268))))=>(X268)))))=>(![X270:$i, X271:$i]:(((in @ X271 @ X270)=>(in @ X271 @ (powerset @ (setunion @ X270)))))=>(![X272:$i > $o]:((?[X273:$i]:(((X272 @ X273)&![X274:$i]:(((X272 @ X274)=>((X273)=(X274))))))=>?[X275:$i]:(![X276:$i]:(((X272 @ X276)<=>((X276)=(X275)))))))=>(![X356:$i]:((((X356)!=(emptyset))=>?[X357:$i]:((in @ X357 @ X356))))=>(![X277:$i, X278:$i]:(((in @ X277 @ (setadjoin @ X278 @ emptyset))=>((X277)=(X278))))=>(![X279:$i, X280:$i]:((((X279)!=(X280))=>~(in @ X280 @ (setadjoin @ X279 @ emptyset))))=>(![X281:$i, X282:$i]:((((X281)=(X282))=>(in @ X281 @ (setadjoin @ X282 @ emptyset))))=>(![X283:$i, X284:$i]:(((in @ X283 @ (setadjoin @ X284 @ emptyset))=>(in @ X284 @ (setadjoin @ X283 @ emptyset))))=>(![X285:$i, X286:$i, X287:$i]:(((in @ X287 @ (setadjoin @ X285 @ (setadjoin @ X286 @ emptyset)))=>(((X287)=(X285))|((X287)=(X286)))))=>(![X354:$i, X355:$i]:((in @ X354 @ (setadjoin @ X354 @ (setadjoin @ X355 @ emptyset))))=>(![X288:$i, X289:$i]:((in @ X289 @ (setadjoin @ X288 @ (setadjoin @ X289 @ emptyset))))=>(![X290:$i, X291:$i > $o]:((?[X292:$i]:(((in @ X292 @ X290)&(X291 @ X292)))=>((dsetconstr @ X290 @ (^[Z0/* 3 */:$i]:((X291 @ Z0))))!=(emptyset))))=>(![X352:$i > $o, X353:$i]:(((in @ X353 @ emptyset)=>(X352 @ X353)))=>(![X293:$i, X294:$i > $o]:((~(![X295:$i]:(((in @ X295 @ X293)=>(X294 @ X295))))=>?[X296:$i]:(((in @ X296 @ X293)&~(X294 @ X296)))))=>(![X297:$i, X298:$i > $o]:((![X299:$i]:(((in @ X299 @ X297)=>~(X298 @ X299)))=>~(?[X300:$i]:(((in @ X300 @ X297)&(X298 @ X300))))))=>(![X348:$i, X349:$i > $o]:((~(?[X350:$i]:(((in @ X350 @ X348)&(X349 @ X350))))=>![X351:$i]:(((in @ X351 @ X348)=>~(X349 @ X351)))))=>(![X344:$i, X345:$i > $o]:((?[X346:$i]:(((in @ X346 @ X344)&~(X345 @ X346)))=>~(![X347:$i]:(((in @ X347 @ X344)=>(X345 @ X347))))))=>(![X301:$o]:(((X301)=>(in @ emptyset @ (prop2set @ ((X301))))))=>(![X302:$o]:(((X302)=>(set2prop @ (prop2set @ ((X302))))))=>(![X303:$i, X304:$i > $o]:((~(?[X305:$i]:(((in @ X305 @ X303)&(X304 @ X305))))=>![X306:$i]:(((in @ X306 @ X303)=>~(X304 @ X306)))))=>(![X307:$i, X308:$i > $o]:((~(![X309:$i]:(((in @ X309 @ X307)=>(X308 @ X309))))=>?[X310:$i]:(((in @ X310 @ X307)&~(X308 @ X310)))))=>(![X339:$i > $o]:((?[X340:$i]:(((X339 @ X340)&![X341:$i]:(((X339 @ X341)=>((X340)=(X341))))))=>?[X342:$i]:(((X339 @ X342)&![X343:$i]:(((X339 @ X343)=>((X342)=(X343))))))))=>(![X333:$i > $o]:((?[X334:$i]:((X333 @ X334))=>(![X335:$i, X336:$i]:(((X333 @ X335)=>((X333 @ X336)=>((X335)=(X336)))))=>?[X337:$i]:(((X333 @ X337)&![X338:$i]:(((X333 @ X338)=>((X337)=(X338)))))))))=>(![X328:$i > $o]:((?[X329:$i]:(![X330:$i]:(((X328 @ X330)<=>((X330)=(X329)))))=>?[X331:$i]:(((X328 @ X331)&![X332:$i]:(((X328 @ X332)=>((X331)=(X332))))))))=>(![X311:$i, X312:$i]:((((X311)=(X312))=>![X313:$i, X314:$i]:((((X313)=(X314))=>((in @ X313 @ X311)=>(in @ X314 @ X312))))))=>(![X315:$i, X316:$i]:((((X315)=(X316))=>![X317:$i, X318:$i]:((((X317)=(X318))=>((in @ X317 @ X315)<=>(in @ X318 @ X316))))))=>(![X323:$i > $o]:((?[X324:$i]:(((X323 @ X324)&![X325:$i]:(((X323 @ X325)=>((X324)=(X325))))))=>![X326:$i, X327:$i]:(((X323 @ X326)=>((X323 @ X327)=>((X326)=(X327)))))))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>(?[X319:$i]:(((X1 @ X319)&![X320:$i]:(((X1 @ X320)=>((X319)=(X320))))))<=>?[X321:$i]:(((X17 @ X321)&![X322:$i]:(((X17 @ X322)=>((X321)=(X322)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[exu__Cong])]), c_0_70]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_81]), foundationAx]), wellorderingAx]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_87]), setext]), emptyI]), noeltsimpempty]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_92]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_93]), c_0_94]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_95]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_96]), c_0_97]), c_0_98]), inCongP]), in__Cong]), c_0_99])]), c_0_100])).
0.37/0.82	thf(c_0_102, negated_conjecture, ![X436:$i, X437:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X449:$i, X450:$i, X452:$i, X453:$i, X454:$i, X455:$i, X456:$i, X458:$i, X459:$i > $i > $o, X460:$i, X462:$i, X465:$i, X467:$i, X468:$i, X469:$i, X470:$i, X472:$i, X473:$i > $o, X474:$i, X476:$i, X477:$i > $o, X478:$i, X479:$i, X480:$i > $o, X481:$i, X482:$i, X483:$i > $o, X484:$i, X485:$i > $o, X486:$i, X489:$i, X490:$o, X491:$i, X492:$i, X493:$o, X494:$i, X495:$i, X496:$i > $o, X497:$i, X500:$i, X501:$i, X504:$i, X506:$i, X508:$i, X509:$i > $o, X510:$i, X511:$i, X513:$i, X514:$i > $o, X515:$i, X516:$i, X517:$i, X518:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$i, X524:$i, X525:$i, X526:$o, X527:$i, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X544:$o, X546:$i, X547:$i, X548:$i > $o, X549:$i, X552:$i, X553:$i, X554:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i, X564:$i, X565:$i, X566:$i, X567:$i, X568:$i, X569:$i, X570:$i, X571:$i, X572:$i > $o, X573:$i, X574:$i > $o, X575:$i, X576:$i, X577:$i > $o, X578:$i, X580:$i, X581:$i > $o, X583:$i, X584:$i, X585:$i > $o, X587:$i, X588:$i, X589:$i > $o, X590:$i, X592:$o, X593:$o, X594:$i, X595:$i > $o, X597:$i, X598:$i, X599:$i > $o, X600:$i, X602:$i > $o, X603:$i, X606:$i, X607:$i > $o, X608:$i, X612:$i, X613:$i > $o, X614:$i, X617:$i, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i > $o, X627:$i, X629:$i, X630:$i, X633:$i, X634:$i, X635:$i, X637:$i, X640:$i, X642:$i]:((((~(in @ (esk1_2 @ X436 @ X437) @ X436)|~(in @ (esk1_2 @ X436 @ X437) @ X437)|((X436)=(X437)))&((in @ (esk1_2 @ X436 @ X437) @ X436)|(in @ (esk1_2 @ X436 @ X437) @ X437)|((X436)=(X437))))&(~(in @ X439 @ emptyset)&(((~(in @ X442 @ (setadjoin @ X440 @ X441))|(((X442)=(X440))|(in @ X442 @ X441)))&((((X442)!=(X440))|(in @ X442 @ (setadjoin @ X440 @ X441)))&(~(in @ X442 @ X441)|(in @ X442 @ (setadjoin @ X440 @ X441)))))&(((~(in @ X444 @ (powerset @ X443))|(~(in @ X445 @ X444)|(in @ X445 @ X443)))&(((in @ (esk2_2 @ X446 @ X447) @ X447)|(in @ X447 @ (powerset @ X446)))&(~(in @ (esk2_2 @ X446 @ X447) @ X446)|(in @ X447 @ (powerset @ X446)))))&(((((in @ X450 @ (esk3_2 @ X449 @ X450))|~(in @ X450 @ (setunion @ X449)))&((in @ (esk3_2 @ X449 @ X450) @ X449)|~(in @ X450 @ (setunion @ X449))))&(~(in @ X453 @ X454)|~(in @ X454 @ X452)|(in @ X453 @ (setunion @ X452))))&((in @ emptyset @ omega)&((~(in @ X455 @ omega)|(in @ (setadjoin @ X455 @ X455) @ omega))&(((((in @ (esk4_1 @ X456) @ omega)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456)))&((in @ (esk4_1 @ X456) @ X456)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456))))&(~(in @ (setadjoin @ (esk4_1 @ X456) @ (esk4_1 @ X456)) @ X456)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456))))&((((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460)))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460)))&(((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462)))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462)))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))))&((((in @ (esk9_1 @ X469) @ X469)|~(in @ X470 @ X469))&(~(in @ X472 @ (esk9_1 @ X469))|~(in @ X472 @ X469)|~(in @ X470 @ X469)))&((epred1_0)&((((X473 @ (esk10_2 @ X473 @ X474))|~(X473 @ X474)|(X473 @ (descr @ (^[Z0/* 3 */:$i]:((X473 @ Z0))))))&(((X474)!=(esk10_2 @ X473 @ X474))|~(X473 @ X474)|(X473 @ (descr @ (^[Z0/* 3 */:$i]:((X473 @ Z0)))))))&((~(in @ X478 @ X476)|(~(X477 @ X478)|(in @ X478 @ (dsetconstr @ X476 @ (^[Z0/* 3 */:$i]:((X477 @ Z0)))))))&((~(in @ X481 @ (dsetconstr @ X479 @ (^[Z0/* 3 */:$i]:((X480 @ Z0)))))|(in @ X481 @ X479))&((~(in @ X484 @ (dsetconstr @ X482 @ (^[Z0/* 3 */:$i]:((X483 @ Z0)))))|(X483 @ X484))&(((((X485 @ (esk12_1 @ X485))|((X485 @ (esk11_2 @ X485 @ X486))|~(X485 @ X486)))&(~(X485 @ X489)|((esk12_1 @ X485)=(X489))|((X485 @ (esk11_2 @ X485 @ X486))|~(X485 @ X486))))&(((X485 @ (esk12_1 @ X485))|(((X486)!=(esk11_2 @ X485 @ X486))|~(X485 @ X486)))&(~(X485 @ X489)|((esk12_1 @ X485)=(X489))|(((X486)!=(esk11_2 @ X485 @ X486))|~(X485 @ X486)))))&((~(in @ X491 @ (prop2set @ ((X490))))|(X490))&((~(in @ X492 @ emptyset)|(X493))&(~(in @ X494 @ emptyset)&(~(in @ X495 @ emptyset)&((((X496 @ (esk13_2 @ X496 @ X497))|~(X496 @ X497)|(X496 @ (esk14_1 @ X496)))&(((X497)!=(esk13_2 @ X496 @ X497))|~(X496 @ X497)|(X496 @ (esk14_1 @ X496))))&(((((in @ (esk16_2 @ X500 @ X501) @ X501)|((X500)=(X501))|(in @ (esk15_2 @ X500 @ X501) @ X500))&(~(in @ (esk16_2 @ X500 @ X501) @ X500)|((X500)=(X501))|(in @ (esk15_2 @ X500 @ X501) @ X500)))&(((in @ (esk16_2 @ X500 @ X501) @ X501)|((X500)=(X501))|~(in @ (esk15_2 @ X500 @ X501) @ X501))&(~(in @ (esk16_2 @ X500 @ X501) @ X500)|((X500)=(X501))|~(in @ (esk15_2 @ X500 @ X501) @ X501))))&(((in @ (esk17_1 @ X504) @ X504)|((X504)=(emptyset)))&(((in @ (esk18_1 @ X506) @ X506)|((X506)=(emptyset)))&(((~(in @ X510 @ (dsetconstr @ X508 @ (^[Z0/* 3 */:$i]:((X509 @ Z0)))))|(X509 @ X510)|~(in @ X510 @ X508))&(~(X509 @ X510)|(in @ X510 @ (dsetconstr @ X508 @ (^[Z0/* 3 */:$i]:((X509 @ Z0)))))|~(in @ X510 @ X508)))&((((X511)=(emptyset))|(in @ (esk19_1 @ X511) @ X511))&((~(in @ X515 @ X513)|(~(X514 @ X515)|((dsetconstr @ X513 @ (^[Z0/* 3 */:$i]:((X514 @ Z0))))!=(emptyset))))&((~(in @ X517 @ X516)|((X516)!=(emptyset)))&((in @ X518 @ (setadjoin @ X518 @ X519))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X522 @ X521)|(in @ X522 @ (setadjoin @ X520 @ X521)))&(((((in @ X525 @ X524)|(X526)|((X525)=(X523))|~(in @ X525 @ (setadjoin @ X523 @ X524)))&(~(X526)|(X526)|((X525)=(X523))|~(in @ X525 @ (setadjoin @ X523 @ X524))))&(((in @ X525 @ X524)|(X526)|~(X526)|~(in @ X525 @ (setadjoin @ X523 @ X524)))&(~(X526)|(X526)|~(X526)|~(in @ X525 @ (setadjoin @ X523 @ X524)))))&((~(in @ X529 @ (setadjoin @ X527 @ X528))|(((X529)=(X527))|(in @ X529 @ X528)))&(((dsetconstr @ X530 @ (^[Z0/* 3 */:$i]:(($true))))=(X530))&((((in @ (esk20_2 @ X531 @ X532) @ X532)|(in @ X532 @ (powerset @ X531)))&(~(in @ (esk20_2 @ X531 @ X532) @ X531)|(in @ X532 @ (powerset @ X531))))&((in @ emptyset @ (powerset @ X534))&((in @ emptyset @ (powerset @ X535))&((~(in @ X537 @ (powerset @ X536))|(~(in @ X538 @ X537)|(in @ X538 @ X536)))&((~(in @ X540 @ X541)|(~(in @ X541 @ X539)|(in @ X540 @ (setunion @ X539))))&((((in @ X543 @ (esk21_3 @ X542 @ X543 @ X544))|(X544)|~(in @ X543 @ (setunion @ X542)))&(((in @ (esk21_3 @ X542 @ X543 @ X544) @ X542)|(X544)|~(in @ X543 @ (setunion @ X542)))&(~(X544)|(X544)|~(in @ X543 @ (setunion @ X542)))))&((~(in @ X547 @ X546)|(in @ X547 @ (powerset @ (setunion @ X546))))&((((~(X548 @ X552)|((X552)=(esk23_1 @ X548))|((X548 @ (esk22_2 @ X548 @ X549))|~(X548 @ X549)))&(((X553)!=(esk23_1 @ X548))|(X548 @ X553)|((X548 @ (esk22_2 @ X548 @ X549))|~(X548 @ X549))))&((~(X548 @ X552)|((X552)=(esk23_1 @ X548))|(((X549)!=(esk22_2 @ X548 @ X549))|~(X548 @ X549)))&(((X553)!=(esk23_1 @ X548))|(X548 @ X553)|(((X549)!=(esk22_2 @ X548 @ X549))|~(X548 @ X549)))))&((((X554)=(emptyset))|(in @ (esk24_1 @ X554) @ X554))&((~(in @ X556 @ (setadjoin @ X557 @ emptyset))|((X556)=(X557)))&((((X558)=(X559))|~(in @ X559 @ (setadjoin @ X558 @ emptyset)))&((((X560)!=(X561))|(in @ X560 @ (setadjoin @ X561 @ emptyset)))&((~(in @ X562 @ (setadjoin @ X563 @ emptyset))|(in @ X563 @ (setadjoin @ X562 @ emptyset)))&((~(in @ X566 @ (setadjoin @ X564 @ (setadjoin @ X565 @ emptyset)))|(((X566)=(X564))|((X566)=(X565))))&((in @ X567 @ (setadjoin @ X567 @ (setadjoin @ X568 @ emptyset)))&((in @ X570 @ (setadjoin @ X569 @ (setadjoin @ X570 @ emptyset)))&((~(in @ X573 @ X571)|~(X572 @ X573)|((dsetconstr @ X571 @ (^[Z0/* 3 */:$i]:((X572 @ Z0))))!=(emptyset)))&((~(in @ X575 @ emptyset)|(X574 @ X575))&((((in @ (esk25_2 @ X576 @ X577) @ X576)|(~(in @ X578 @ X576)|(X577 @ X578)))&(~(X577 @ (esk25_2 @ X576 @ X577))|(~(in @ X578 @ X576)|(X577 @ X578))))&((((in @ (esk26_2 @ X580 @ X581) @ X580)|(~(in @ X583 @ X580)|~(X581 @ X583)))&((X581 @ (esk26_2 @ X580 @ X581))|(~(in @ X583 @ X580)|~(X581 @ X583))))&((((in @ (esk27_2 @ X584 @ X585) @ X584)|(~(in @ X587 @ X584)|~(X585 @ X587)))&((X585 @ (esk27_2 @ X584 @ X585))|(~(in @ X587 @ X584)|~(X585 @ X587))))&((((in @ (esk28_2 @ X588 @ X589) @ X588)|(~(in @ X590 @ X588)|(X589 @ X590)))&(~(X589 @ (esk28_2 @ X588 @ X589))|(~(in @ X590 @ X588)|(X589 @ X590))))&((~(X592)|(in @ emptyset @ (prop2set @ ((X592)))))&((~(X593)|(set2prop @ (prop2set @ ((X593)))))&((((in @ (esk29_2 @ X594 @ X595) @ X594)|(~(in @ X597 @ X594)|~(X595 @ X597)))&((X595 @ (esk29_2 @ X594 @ X595))|(~(in @ X597 @ X594)|~(X595 @ X597))))&((((in @ (esk30_2 @ X598 @ X599) @ X598)|(~(in @ X600 @ X598)|(X599 @ X600)))&(~(X599 @ (esk30_2 @ X598 @ X599))|(~(in @ X600 @ X598)|(X599 @ X600))))&(((((X602 @ (esk32_1 @ X602))|((X602 @ (esk31_2 @ X602 @ X603))|~(X602 @ X603)))&(~(X602 @ X606)|((esk32_1 @ X602)=(X606))|((X602 @ (esk31_2 @ X602 @ X603))|~(X602 @ X603))))&(((X602 @ (esk32_1 @ X602))|(((X603)!=(esk31_2 @ X602 @ X603))|~(X602 @ X603)))&(~(X602 @ X606)|((esk32_1 @ X602)=(X606))|(((X603)!=(esk31_2 @ X602 @ X603))|~(X602 @ X603)))))&(((((X607 @ (esk35_1 @ X607))|(X607 @ (esk33_1 @ X607))|~(X607 @ X608))&(~(X607 @ X612)|((esk35_1 @ X607)=(X612))|(X607 @ (esk33_1 @ X607))|~(X607 @ X608)))&((((X607 @ (esk35_1 @ X607))|(X607 @ (esk34_1 @ X607))|~(X607 @ X608))&(~(X607 @ X612)|((esk35_1 @ X607)=(X612))|(X607 @ (esk34_1 @ X607))|~(X607 @ X608)))&(((X607 @ (esk35_1 @ X607))|((esk33_1 @ X607)!=(esk34_1 @ X607))|~(X607 @ X608))&(~(X607 @ X612)|((esk35_1 @ X607)=(X612))|((esk33_1 @ X607)!=(esk34_1 @ X607))|~(X607 @ X608)))))&(((((X613 @ (esk37_1 @ X613))|(~(X613 @ (esk36_2 @ X613 @ X614))|((esk36_2 @ X613 @ X614)!=(X614))))&(~(X613 @ X617)|((esk37_1 @ X613)=(X617))|(~(X613 @ (esk36_2 @ X613 @ X614))|((esk36_2 @ X613 @ X614)!=(X614)))))&(((X613 @ (esk37_1 @ X613))|((X613 @ (esk36_2 @ X613 @ X614))|((esk36_2 @ X613 @ X614)=(X614))))&(~(X613 @ X617)|((esk37_1 @ X613)=(X617))|((X613 @ (esk36_2 @ X613 @ X614))|((esk36_2 @ X613 @ X614)=(X614))))))&((((X618)!=(X619))|(((X620)!=(X621))|(~(in @ X620 @ X618)|(in @ X621 @ X619))))&(((~(in @ X624 @ X622)|(in @ X625 @ X623)|((X624)!=(X625))|((X622)!=(X623)))&(~(in @ X625 @ X623)|(in @ X624 @ X622)|((X624)!=(X625))|((X622)!=(X623))))&((((X626 @ (esk38_2 @ X626 @ X627))|~(X626 @ X627)|(~(X626 @ X629)|(~(X626 @ X630)|((X629)=(X630)))))&(((X627)!=(esk38_2 @ X626 @ X627))|~(X626 @ X627)|(~(X626 @ X629)|(~(X626 @ X630)|((X629)=(X630))))))&(((~(epred2_0 @ X633)|(epred3_0 @ X634)|((X633)!=(X634)))&(~(epred3_0 @ X634)|(epred2_0 @ X633)|((X633)!=(X634))))&(((((epred3_0 @ (esk40_1 @ X637))|~(epred3_0 @ X637)|((epred2_0 @ (esk39_1 @ X635))|~(epred2_0 @ X635)))&(((X637)!=(esk40_1 @ X637))|~(epred3_0 @ X637)|((epred2_0 @ (esk39_1 @ X635))|~(epred2_0 @ X635))))&(((epred3_0 @ (esk40_1 @ X637))|~(epred3_0 @ X637)|(((X635)!=(esk39_1 @ X635))|~(epred2_0 @ X635)))&(((X637)!=(esk40_1 @ X637))|~(epred3_0 @ X637)|(((X635)!=(esk39_1 @ X635))|~(epred2_0 @ X635)))))&((((epred3_0 @ esk42_0)|(epred2_0 @ esk41_0))&(~(epred3_0 @ X642)|((esk42_0)=(X642))|(epred2_0 @ esk41_0)))&(((epred3_0 @ esk42_0)|(~(epred2_0 @ X640)|((esk41_0)=(X640))))&(~(epred3_0 @ X642)|((esk42_0)=(X642))|(~(epred2_0 @ X640)|((esk41_0)=(X640))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_101])])])])])])).
0.37/0.82	thf(c_0_103, negated_conjecture, ![X1:$i > $o, X2:$i]:(((X1 @ (esk10_2 @ X1 @ X2))|(X1 @ (descr @ X1))|~((X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_104, negated_conjecture, ((epred3_0 @ esk42_0)|(epred2_0 @ esk41_0)), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_105, negated_conjecture, ![X2:$i]:((((esk42_0)=(X2))|(epred2_0 @ esk41_0)|~((epred3_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_106, negated_conjecture, ((epred3_0 @ (esk10_2 @ epred3_0 @ esk42_0))|(epred3_0 @ (descr @ epred3_0))|(epred2_0 @ esk41_0)), inference(spm,[status(thm)],[c_0_103, c_0_104])).
0.37/0.82	thf(c_0_107, negated_conjecture, ![X3:$i, X2:$i]:(((epred2_0 @ X3)|~((epred3_0 @ X2))|((X3)!=(X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_108, negated_conjecture, ![X1:$i > $o, X2:$i]:(((X1 @ (descr @ X1))|((X2)!=(esk10_2 @ X1 @ X2))|~((X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_109, negated_conjecture, (((esk10_2 @ epred3_0 @ esk42_0)=(esk42_0))|(epred3_0 @ (descr @ epred3_0))|(epred2_0 @ esk41_0)), inference(spm,[status(thm)],[c_0_105, c_0_106])).
0.37/0.82	thf(c_0_110, plain, (~((epred11_0))<=>![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|~((epred3_0 @ X2))))), introduced(definition)).
0.37/0.82	thf(c_0_111, negated_conjecture, ![X2:$i, X3:$i]:(((epred3_0 @ X3)|~((epred2_0 @ X2))|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_112, plain, (~((epred9_0))<=>![X3:$i]:(((epred2_0 @ (esk39_1 @ X3))|~((epred2_0 @ X3))))), introduced(definition)).
0.37/0.82	thf(c_0_113, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((epred3_0 @ X2)))), inference(er,[status(thm)],[c_0_107])).
0.37/0.82	thf(c_0_114, plain, (~((epred8_0))<=>![X3:$i]:((((esk41_0)=(X3))|~((epred2_0 @ X3))))), introduced(definition)).
0.37/0.82	thf(c_0_115, negated_conjecture, ((epred3_0 @ (descr @ epred3_0))|(epred2_0 @ esk41_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_104])).
0.37/0.82	thf(c_0_116, negated_conjecture, ![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|(epred11_0)|~((epred3_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_110])).
0.37/0.82	thf(c_0_117, negated_conjecture, ![X2:$i]:(((epred3_0 @ X2)|~((epred2_0 @ X2)))), inference(er,[status(thm)],[c_0_111])).
0.37/0.82	thf(c_0_118, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk39_1 @ X2))|(epred9_0)|~((epred2_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_112])).
0.37/0.82	thf(c_0_119, negated_conjecture, ((epred2_0 @ esk41_0)|(epred2_0 @ esk42_0)), inference(spm,[status(thm)],[c_0_113, c_0_104])).
0.37/0.82	thf(c_0_120, negated_conjecture, ![X2:$i]:((((esk41_0)=(X2))|(epred8_0)|~((epred2_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_114])).
0.37/0.82	thf(c_0_121, negated_conjecture, ((epred2_0 @ (descr @ epred3_0))|(epred2_0 @ esk41_0)), inference(spm,[status(thm)],[c_0_113, c_0_115])).
0.37/0.82	thf(c_0_122, plain, (~((epred10_0))<=>![X2:$i]:((~((epred3_0 @ X2))|((esk40_1 @ X2)!=(X2))))), introduced(definition)).
0.37/0.82	thf(c_0_123, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk42_0))|(epred2_0 @ esk41_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_116, c_0_104])).
0.37/0.82	thf(c_0_124, plain, (~((epred5_0))<=>![X3:$i]:((~((epred2_0 @ X3))|((esk39_1 @ X3)!=(X3))))), introduced(definition)).
0.37/0.82	thf(c_0_125, negated_conjecture, ![X2:$i]:((((esk42_0)=(X2))|(epred2_0 @ esk41_0)|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_105, c_0_117])).
0.37/0.82	thf(c_0_126, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk42_0))|(epred2_0 @ esk41_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_118, c_0_119])).
0.37/0.82	thf(c_0_127, plain, (~((epred6_0))<=>![X2:$i]:((~((epred3_0 @ X2))|((esk40_1 @ X2)!=(X2))))), introduced(definition)).
0.37/0.82	thf(c_0_128, negated_conjecture, (((descr @ epred3_0)=(esk41_0))|(epred2_0 @ esk41_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_121])).
0.37/0.82	thf(c_0_129, negated_conjecture, ![X2:$i]:(((epred10_0)|((esk40_1 @ X2)!=(X2))|~((epred3_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_122])).
0.37/0.82	thf(c_0_130, negated_conjecture, (((esk40_1 @ esk42_0)=(esk42_0))|(epred2_0 @ esk41_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_105, c_0_123])).
0.37/0.82	thf(c_0_131, plain, (~((epred7_0))<=>![X2:$i]:((((esk42_0)=(X2))|~((epred3_0 @ X2))))), introduced(definition)).
0.37/0.82	thf(c_0_132, negated_conjecture, ![X2:$i]:(((epred5_0)|((esk39_1 @ X2)!=(X2))|~((epred2_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_124])).
0.37/0.82	thf(c_0_133, negated_conjecture, (((esk39_1 @ esk42_0)=(esk42_0))|(epred2_0 @ esk41_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_125, c_0_126])).
0.37/0.82	thf(c_0_134, negated_conjecture, ![X2:$i]:(((epred6_0)|((esk40_1 @ X2)!=(X2))|~((epred3_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_127])).
0.37/0.82	thf(c_0_135, negated_conjecture, ![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|(epred11_0)|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
0.37/0.82	thf(c_0_136, negated_conjecture, ((epred2_0 @ esk41_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_121, c_0_128])).
0.37/0.82	thf(c_0_137, negated_conjecture, ((epred2_0 @ esk41_0)|(epred11_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_130]), c_0_104])).
0.37/0.82	thf(c_0_138, negated_conjecture, ![X2:$i]:((((esk42_0)=(X2))|(epred7_0)|~((epred3_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_131])).
0.37/0.82	thf(c_0_139, negated_conjecture, ((epred2_0 @ esk41_0)|(epred9_0)|(epred5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_119])).
0.37/0.82	thf(c_0_140, negated_conjecture, ((epred2_0 @ esk41_0)|(epred11_0)|(epred6_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_130]), c_0_104])).
0.37/0.82	thf(c_0_141, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred8_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_135, c_0_136])).
0.37/0.82	thf(c_0_142, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred10_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_135, c_0_137])).
0.37/0.82	thf(c_0_143, negated_conjecture, ![X2:$i]:((((esk42_0)=(X2))|(epred7_0)|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_138, c_0_117])).
0.37/0.82	thf(c_0_144, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk41_0))|(epred5_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_118, c_0_139])).
0.37/0.82	thf(c_0_145, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred6_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_135, c_0_140])).
0.37/0.82	thf(c_0_146, negated_conjecture, ((epred2_0 @ (esk40_1 @ esk41_0))|(epred11_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_113, c_0_141])).
0.37/0.82	thf(c_0_147, negated_conjecture, (((esk40_1 @ esk41_0)=(esk42_0))|(epred11_0)|(epred10_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_138, c_0_142])).
0.37/0.82	thf(c_0_148, negated_conjecture, ![X2:$i, X3:$i]:((((X2)!=(esk40_1 @ X2))|~((epred3_0 @ X2))|((X3)!=(esk39_1 @ X3))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_149, negated_conjecture, (((esk39_1 @ esk41_0)=(esk42_0))|(epred9_0)|(epred5_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_144])).
0.37/0.82	thf(c_0_150, negated_conjecture, (((esk42_0)=(esk41_0))|(epred5_0)|(epred9_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_139])).
0.37/0.82	thf(c_0_151, negated_conjecture, (((esk40_1 @ esk41_0)=(esk42_0))|(epred11_0)|(epred6_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_138, c_0_145])).
0.37/0.82	thf(c_0_152, negated_conjecture, (((esk39_1 @ esk41_0)=(esk41_0))|(epred9_0)|(epred5_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_144])).
0.37/0.82	thf(c_0_153, negated_conjecture, (((esk40_1 @ esk41_0)=(esk41_0))|(epred11_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_146])).
0.37/0.82	thf(c_0_154, negated_conjecture, ![X2:$i, X3:$i]:((((esk42_0)=(X2))|((esk41_0)=(X3))|~((epred3_0 @ X2))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_155, negated_conjecture, ((epred7_0)|(epred11_0)|(epred10_0)|~((epred3_0 @ esk41_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_147]), c_0_138])).
0.37/0.82	thf(c_0_156, plain, (~((epred14_0))<=>![X3:$i]:(((epred2_0 @ (esk39_1 @ X3))|~((epred2_0 @ X3))))), introduced(definition)).
0.37/0.82	thf(c_0_157, negated_conjecture, (~((epred6_0))|~((epred5_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_148, c_0_124]), c_0_127])).
0.37/0.82	thf(c_0_158, negated_conjecture, ((epred7_0)|(epred9_0)|(epred5_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_149]), c_0_139]), c_0_150])).
0.37/0.82	thf(c_0_159, negated_conjecture, ((epred7_0)|(epred11_0)|(epred6_0)|~((epred3_0 @ esk41_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_151]), c_0_138])).
0.37/0.82	thf(c_0_160, negated_conjecture, ((epred8_0)|(epred9_0)|(epred5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_152]), c_0_139])).
0.37/0.82	thf(c_0_161, negated_conjecture, ((epred8_0)|(epred11_0)|(epred6_0)|~((epred3_0 @ esk41_0))), inference(spm,[status(thm)],[c_0_134, c_0_153])).
0.37/0.82	thf(c_0_162, negated_conjecture, ((epred3_0 @ esk41_0)|(epred11_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_141, c_0_153])).
0.37/0.82	thf(c_0_163, negated_conjecture, (~((epred8_0))|~((epred7_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_154, c_0_131]), c_0_114])).
0.37/0.82	thf(c_0_164, negated_conjecture, ((epred10_0)|(epred11_0)|(epred7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_117]), c_0_137])).
0.37/0.82	thf(c_0_165, plain, (~((epred12_0))<=>![X3:$i]:((~((epred2_0 @ X3))|((esk39_1 @ X3)!=(X3))))), introduced(definition)).
0.37/0.82	thf(c_0_166, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk39_1 @ X2))|(epred14_0)|~((epred2_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_156])).
0.37/0.82	thf(c_0_167, negated_conjecture, ((epred9_0)|(epred7_0)|~((epred6_0))), inference(spm,[status(thm)],[c_0_157, c_0_158])).
0.37/0.82	thf(c_0_168, negated_conjecture, ((epred6_0)|(epred11_0)|(epred7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_117]), c_0_140])).
0.37/0.82	thf(c_0_169, negated_conjecture, ((epred9_0)|(epred8_0)|~((epred6_0))), inference(spm,[status(thm)],[c_0_157, c_0_160])).
0.37/0.82	thf(c_0_170, negated_conjecture, ((epred6_0)|(epred11_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_161, c_0_162])).
0.37/0.82	thf(c_0_171, negated_conjecture, ((epred11_0)|(epred10_0)|~((epred8_0))), inference(spm,[status(thm)],[c_0_163, c_0_164])).
0.37/0.82	thf(c_0_172, plain, (~((epred13_0))<=>![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|~((epred3_0 @ X2))))), introduced(definition)).
0.37/0.82	thf(c_0_173, negated_conjecture, ![X2:$i]:(((epred12_0)|((esk39_1 @ X2)!=(X2))|~((epred2_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_165])).
0.37/0.82	thf(c_0_174, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk42_0))|(epred2_0 @ esk41_0)|(epred14_0)), inference(spm,[status(thm)],[c_0_166, c_0_119])).
0.37/0.82	thf(c_0_175, negated_conjecture, ![X2:$i, X3:$i]:(((epred2_0 @ (esk39_1 @ X3))|((X2)!=(esk40_1 @ X2))|~((epred3_0 @ X2))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_176, negated_conjecture, ((epred11_0)|(epred7_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_167, c_0_168])).
0.37/0.82	thf(c_0_177, negated_conjecture, ((epred11_0)|(epred8_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_169, c_0_170])).
0.37/0.82	thf(c_0_178, negated_conjecture, ((epred11_0)|(epred10_0)|~((epred3_0 @ esk41_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_153]), c_0_171])).
0.37/0.82	thf(c_0_179, negated_conjecture, ![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|(epred13_0)|~((epred3_0 @ X2)))), inference(split_equiv,[status(thm)],[c_0_172])).
0.37/0.82	thf(c_0_180, negated_conjecture, ((epred2_0 @ esk41_0)|(epred9_0)|(epred12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_133]), c_0_119])).
0.37/0.82	thf(c_0_181, negated_conjecture, (((esk39_1 @ esk42_0)=(esk42_0))|(epred2_0 @ esk41_0)|(epred14_0)), inference(spm,[status(thm)],[c_0_125, c_0_174])).
0.37/0.82	thf(c_0_182, negated_conjecture, ![X2:$i, X3:$i]:(((epred3_0 @ (esk40_1 @ X2))|~((epred3_0 @ X2))|((X3)!=(esk39_1 @ X3))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_183, negated_conjecture, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_175, c_0_112]), c_0_122])).
0.37/0.82	thf(c_0_184, negated_conjecture, ((epred9_0)|(epred11_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_176]), c_0_177])).
0.37/0.82	thf(c_0_185, negated_conjecture, ((epred10_0)|(epred11_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178, c_0_117]), c_0_137])).
0.37/0.82	thf(c_0_186, negated_conjecture, ![X2:$i]:(((epred3_0 @ (esk40_1 @ X2))|(epred13_0)|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_179, c_0_117])).
0.37/0.82	thf(c_0_187, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk41_0))|(epred12_0)|(epred9_0)), inference(spm,[status(thm)],[c_0_118, c_0_180])).
0.37/0.82	thf(c_0_188, negated_conjecture, ((epred2_0 @ esk41_0)|(epred14_0)|(epred12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_181]), c_0_119])).
0.37/0.82	thf(c_0_189, negated_conjecture, (~((epred12_0))|~((epred11_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_182, c_0_110]), c_0_165])).
0.37/0.82	thf(c_0_190, negated_conjecture, (epred11_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_184]), c_0_185])).
0.37/0.82	thf(c_0_191, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred8_0)|(epred13_0)), inference(spm,[status(thm)],[c_0_186, c_0_136])).
0.37/0.82	thf(c_0_192, negated_conjecture, (((esk39_1 @ esk41_0)=(esk42_0))|(epred9_0)|(epred12_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_187])).
0.37/0.82	thf(c_0_193, negated_conjecture, (((esk42_0)=(esk41_0))|(epred12_0)|(epred9_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_180])).
0.37/0.82	thf(c_0_194, negated_conjecture, (((esk39_1 @ esk41_0)=(esk41_0))|(epred9_0)|(epred12_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_187])).
0.37/0.82	thf(c_0_195, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk41_0))|(epred12_0)|(epred14_0)), inference(spm,[status(thm)],[c_0_166, c_0_188])).
0.37/0.82	thf(c_0_196, negated_conjecture, ~((epred12_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189, c_0_190])])).
0.37/0.82	thf(c_0_197, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk41_0))|(epred8_0)|(epred14_0)), inference(spm,[status(thm)],[c_0_166, c_0_136])).
0.37/0.82	thf(c_0_198, negated_conjecture, ((epred2_0 @ (esk40_1 @ esk41_0))|(epred13_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_113, c_0_191])).
0.37/0.82	thf(c_0_199, negated_conjecture, ((epred7_0)|(epred9_0)|(epred12_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_192]), c_0_180]), c_0_193])).
0.37/0.82	thf(c_0_200, negated_conjecture, ((epred8_0)|(epred9_0)|(epred12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_194]), c_0_180])).
0.37/0.82	thf(c_0_201, negated_conjecture, ((epred2_0 @ (esk39_1 @ esk41_0))|(epred14_0)), inference(sr,[status(thm)],[c_0_195, c_0_196])).
0.37/0.82	thf(c_0_202, negated_conjecture, (((esk42_0)=(esk41_0))|(epred12_0)|(epred14_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_188])).
0.37/0.82	thf(c_0_203, negated_conjecture, (((esk39_1 @ esk41_0)=(esk41_0))|(epred14_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_197])).
0.37/0.82	thf(c_0_204, negated_conjecture, (((esk40_1 @ esk41_0)=(esk41_0))|(epred13_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_120, c_0_198])).
0.37/0.82	thf(c_0_205, negated_conjecture, ((epred12_0)|(epred9_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_199]), c_0_200])).
0.37/0.82	thf(c_0_206, negated_conjecture, (((esk39_1 @ esk41_0)=(esk42_0))|(epred14_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_201])).
0.37/0.82	thf(c_0_207, negated_conjecture, ((epred2_0 @ esk41_0)|(epred14_0)), inference(sr,[status(thm)],[c_0_188, c_0_196])).
0.37/0.82	thf(c_0_208, negated_conjecture, (((esk42_0)=(esk41_0))|(epred7_0)|(epred14_0)), inference(sr,[status(thm)],[c_0_202, c_0_196])).
0.37/0.82	thf(c_0_209, negated_conjecture, ((epred8_0)|(epred14_0)|(epred12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_203]), c_0_136])).
0.37/0.82	thf(c_0_210, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk42_0))|(epred2_0 @ esk41_0)|(epred13_0)), inference(spm,[status(thm)],[c_0_179, c_0_104])).
0.37/0.82	thf(c_0_211, negated_conjecture, ((epred8_0)|(epred13_0)|(epred10_0)|~((epred3_0 @ esk41_0))), inference(spm,[status(thm)],[c_0_129, c_0_204])).
0.37/0.82	thf(c_0_212, negated_conjecture, ((epred3_0 @ esk41_0)|(epred13_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_191, c_0_204])).
0.37/0.82	thf(c_0_213, negated_conjecture, (epred9_0), inference(sr,[status(thm)],[c_0_205, c_0_196])).
0.37/0.82	thf(c_0_214, negated_conjecture, ![X2:$i, X3:$i]:(((epred3_0 @ (esk40_1 @ X2))|(epred2_0 @ (esk39_1 @ X3))|~((epred3_0 @ X2))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_102])).
0.37/0.82	thf(c_0_215, negated_conjecture, ((epred7_0)|(epred14_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_206]), c_0_196]), c_0_207]), c_0_208])).
0.37/0.82	thf(c_0_216, negated_conjecture, ((epred14_0)|(epred8_0)), inference(sr,[status(thm)],[c_0_209, c_0_196])).
0.37/0.82	thf(c_0_217, negated_conjecture, (((esk40_1 @ esk42_0)=(esk42_0))|(epred2_0 @ esk41_0)|(epred13_0)), inference(spm,[status(thm)],[c_0_105, c_0_210])).
0.37/0.82	thf(c_0_218, negated_conjecture, ((epred10_0)|(epred13_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_211, c_0_212])).
0.37/0.82	thf(c_0_219, negated_conjecture, ~((epred10_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183, c_0_213])])).
0.37/0.82	thf(c_0_220, negated_conjecture, (~((epred14_0))|~((epred13_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_214, c_0_172]), c_0_156])).
0.37/0.82	thf(c_0_221, negated_conjecture, (epred14_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_215]), c_0_216])).
0.37/0.82	thf(c_0_222, negated_conjecture, ((epred2_0 @ esk41_0)|(epred13_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_217]), c_0_104])).
0.37/0.82	thf(c_0_223, negated_conjecture, ((epred8_0)|(epred13_0)), inference(sr,[status(thm)],[c_0_218, c_0_219])).
0.37/0.82	thf(c_0_224, negated_conjecture, ~((epred13_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220, c_0_221])])).
0.37/0.82	thf(c_0_225, negated_conjecture, (((esk42_0)=(esk41_0))|(epred10_0)|(epred13_0)|(epred7_0)), inference(spm,[status(thm)],[c_0_143, c_0_222])).
0.37/0.82	thf(c_0_226, negated_conjecture, (epred8_0), inference(sr,[status(thm)],[c_0_223, c_0_224])).
0.37/0.82	thf(c_0_227, negated_conjecture, (((esk42_0)=(esk41_0))|(epred7_0)|(epred13_0)), inference(sr,[status(thm)],[c_0_225, c_0_219])).
0.37/0.82	thf(c_0_228, negated_conjecture, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_226])])).
0.37/0.82	thf(c_0_229, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred10_0)|(epred13_0)), inference(spm,[status(thm)],[c_0_186, c_0_222])).
0.37/0.82	thf(c_0_230, negated_conjecture, ((esk42_0)=(esk41_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_227, c_0_224]), c_0_228])).
0.37/0.82	thf(c_0_231, negated_conjecture, ((epred3_0 @ (esk40_1 @ esk41_0))|(epred13_0)), inference(sr,[status(thm)],[c_0_229, c_0_219])).
0.37/0.82	thf(c_0_232, negated_conjecture, ![X2:$i]:((((esk41_0)=(X2))|~((epred3_0 @ X2)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_138, c_0_230]), c_0_228])).
0.37/0.82	thf(c_0_233, negated_conjecture, (epred3_0 @ (esk40_1 @ esk41_0)), inference(sr,[status(thm)],[c_0_231, c_0_224])).
0.37/0.82	thf(c_0_234, negated_conjecture, ((esk40_1 @ esk41_0)=(esk41_0)), inference(spm,[status(thm)],[c_0_232, c_0_233])).
0.37/0.82	thf(c_0_235, negated_conjecture, ((epred2_0 @ esk41_0)|(epred13_0)), inference(sr,[status(thm)],[c_0_222, c_0_219])).
0.37/0.82	thf(c_0_236, negated_conjecture, ~((epred3_0 @ esk41_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_234]), c_0_219])).
0.37/0.82	thf(c_0_237, negated_conjecture, (epred2_0 @ esk41_0), inference(sr,[status(thm)],[c_0_235, c_0_224])).
0.37/0.82	thf(c_0_238, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236, c_0_117]), c_0_237])]), ['proof']).
0.37/0.82	# SZS output end CNFRefutation
0.37/0.82	# Parsed axioms                        : 147
0.37/0.82	# Removed by relevancy pruning/SinE    : 0
0.37/0.82	# Initial clauses                      : 223
0.37/0.82	# Removed in clause preprocessing      : 85
0.37/0.82	# Initial clauses in saturation        : 138
0.37/0.82	# Processed clauses                    : 1955
0.37/0.82	# ...of these trivial                  : 21
0.37/0.82	# ...subsumed                          : 753
0.37/0.82	# ...remaining for further processing  : 1181
0.37/0.82	# Other redundant clauses eliminated   : 24
0.37/0.82	# Clauses deleted for lack of memory   : 0
0.37/0.82	# Backward-subsumed                    : 94
0.37/0.82	# Backward-rewritten                   : 252
0.37/0.82	# Generated clauses                    : 13219
0.37/0.82	# ...of the previous two non-redundant : 13181
0.37/0.82	# ...aggressively subsumed             : 0
0.37/0.82	# Contextual simplify-reflections      : 34
0.37/0.82	# Paramodulations                      : 13154
0.37/0.82	# Factorizations                       : 2
0.37/0.82	# NegExts                              : 0
0.37/0.82	# Equation resolutions                 : 24
0.37/0.82	# Total rewrite steps                  : 716
0.37/0.82	# Propositional unsat checks           : 0
0.37/0.82	#    Propositional check models        : 0
0.37/0.82	#    Propositional check unsatisfiable : 0
0.37/0.82	#    Propositional clauses             : 0
0.37/0.82	#    Propositional clauses after purity: 0
0.37/0.82	#    Propositional unsat core size     : 0
0.37/0.82	#    Propositional preprocessing time  : 0.000
0.37/0.82	#    Propositional encoding time       : 0.000
0.37/0.82	#    Propositional solver time         : 0.000
0.37/0.82	#    Success case prop preproc time    : 0.000
0.37/0.82	#    Success case prop encoding time   : 0.000
0.37/0.82	#    Success case prop solver time     : 0.000
0.37/0.82	# Current number of processed clauses  : 672
0.37/0.82	#    Positive orientable unit clauses  : 26
0.37/0.82	#    Positive unorientable unit clauses: 0
0.37/0.82	#    Negative unit clauses             : 285
0.37/0.82	#    Non-unit-clauses                  : 361
0.37/0.82	# Current number of unprocessed clauses: 11329
0.37/0.82	# ...number of literals in the above   : 39236
0.37/0.82	# Current number of archived formulas  : 0
0.37/0.82	# Current number of archived clauses   : 496
0.37/0.82	# Clause-clause subsumption calls (NU) : 56972
0.37/0.82	# Rec. Clause-clause subsumption calls : 31032
0.37/0.82	# Non-unit clause-clause subsumptions  : 503
0.37/0.82	# Unit Clause-clause subsumption calls : 28896
0.37/0.82	# Rewrite failures with RHS unbound    : 0
0.37/0.82	# BW rewrite match attempts            : 19
0.37/0.82	# BW rewrite match successes           : 12
0.37/0.82	# Condensation attempts                : 1955
0.37/0.82	# Condensation successes               : 6
0.37/0.82	# Termbank termtop insertions          : 241451
0.37/0.82	
0.37/0.82	# -------------------------------------------------
0.37/0.82	# User time                : 0.281 s
0.37/0.82	# System time              : 0.010 s
0.37/0.82	# Total time               : 0.291 s
0.37/0.82	# Maximum resident set size: 3840 pages
0.37/0.83	
0.37/0.83	# -------------------------------------------------
0.37/0.83	# User time                : 1.361 s
0.37/0.83	# System time              : 0.064 s
0.37/0.83	# Total time               : 1.426 s
0.37/0.83	# Maximum resident set size: 1924 pages
0.37/0.83	% E---3.1 exiting
0.37/0.83	EOF