0.03/0.13 % Problem : Vampire---4.8_14977 : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_E %s %d THM 0.13/0.33 % Computer : n008.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Mon Jul 3 13:09:49 EDT 2023 0.13/0.33 % CPUTime : 0.18/0.44 Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977 0.18/0.44 # Version: 3.1pre001-ho 0.18/0.46 # Preprocessing class: HSMSSLSSLLLCHFA. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.46 # Starting new_ho_10 with 900s (5) cores 0.18/0.46 # Starting sh5l with 180s (1) cores 0.18/0.46 # Starting new_bool_1 with 180s (1) cores 0.18/0.46 # Starting new_bool_2 with 180s (1) cores 0.18/0.46 # new_ho_10 with pid 15156 completed with status 0 0.18/0.46 # Result found by new_ho_10 0.18/0.46 # Preprocessing class: HSMSSLSSLLLCHFA. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.46 # Starting new_ho_10 with 900s (5) cores 0.18/0.46 # No SInE strategy applied 0.18/0.46 # Search class: HGHSM-FSLM31-SHFMMMBN 0.18/0.46 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.18/0.46 # Starting ho_unfolding_3 with 487s (1) cores 0.18/0.46 # Starting new_ho_10 with 91s (1) cores 0.18/0.46 # Starting lpo1_def_fix with 82s (1) cores 0.18/0.46 # Starting full_lambda_2 with 82s (1) cores 0.18/0.46 # Starting new_ho_14 with 82s (1) cores 0.18/0.46 # new_ho_10 with pid 15161 completed with status 0 0.18/0.46 # Result found by new_ho_10 0.18/0.46 # Preprocessing class: HSMSSLSSLLLCHFA. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.46 # Starting new_ho_10 with 900s (5) cores 0.18/0.46 # No SInE strategy applied 0.18/0.46 # Search class: HGHSM-FSLM31-SHFMMMBN 0.18/0.46 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.18/0.46 # Starting ho_unfolding_3 with 487s (1) cores 0.18/0.46 # Starting new_ho_10 with 91s (1) cores 0.18/0.46 # Preprocessing time : 0.003 s 0.18/0.46 # Presaturation interreduction done 0.18/0.46 0.18/0.46 # Proof found! 0.18/0.46 # SZS status Theorem 0.18/0.46 # SZS output start CNFRefutation 0.18/0.46 thf(decl_22, type, in: $i > $i > $o). 0.18/0.46 thf(decl_23, type, exu: ($i > $o) > $o). 0.18/0.46 thf(decl_24, type, setextAx: $o). 0.18/0.46 thf(decl_25, type, emptyset: $i). 0.18/0.46 thf(decl_26, type, emptysetAx: $o). 0.18/0.46 thf(decl_27, type, setadjoin: $i > $i > $i). 0.18/0.46 thf(decl_28, type, setadjoinAx: $o). 0.18/0.46 thf(decl_29, type, powerset: $i > $i). 0.18/0.46 thf(decl_30, type, powersetAx: $o). 0.18/0.46 thf(decl_31, type, setunion: $i > $i). 0.18/0.46 thf(decl_32, type, setunionAx: $o). 0.18/0.46 thf(decl_33, type, omega: $i). 0.18/0.46 thf(decl_34, type, omega0Ax: $o). 0.18/0.46 thf(decl_35, type, omegaSAx: $o). 0.18/0.46 thf(decl_36, type, omegaIndAx: $o). 0.18/0.46 thf(decl_37, type, replAx: $o). 0.18/0.46 thf(decl_38, type, foundationAx: $o). 0.18/0.46 thf(decl_39, type, wellorderingAx: $o). 0.18/0.46 thf(decl_40, type, descr: ($i > $o) > $i). 0.18/0.46 thf(decl_41, type, descrp: $o). 0.18/0.46 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_43, type, dsetconstrI: $o). 0.18/0.46 thf(decl_44, type, dsetconstrEL: $o). 0.18/0.46 thf(decl_45, type, dsetconstrER: $o). 0.18/0.46 thf(decl_46, type, exuE1: $o). 0.18/0.46 thf(decl_47, type, prop2set: $o > $i). 0.18/0.46 thf(decl_48, type, prop2setE: $o). 0.18/0.46 thf(decl_49, type, emptysetE: $o). 0.18/0.46 thf(decl_50, type, emptysetimpfalse: $o). 0.18/0.46 thf(decl_51, type, notinemptyset: $o). 0.18/0.46 thf(decl_52, type, exuE3e: $o). 0.18/0.46 thf(decl_53, type, setext: $o). 0.18/0.46 thf(decl_54, type, emptyI: $o). 0.18/0.46 thf(decl_55, type, noeltsimpempty: $o). 0.18/0.46 thf(decl_56, type, setbeta: $o). 0.18/0.46 thf(decl_57, type, nonempty: $i > $o). 0.18/0.46 thf(decl_58, type, nonemptyE1: $o). 0.18/0.46 thf(decl_59, type, nonemptyI: $o). 0.18/0.46 thf(decl_60, type, nonemptyI1: $o). 0.18/0.46 thf(decl_61, type, setadjoinIL: $o). 0.18/0.46 thf(decl_62, type, emptyinunitempty: $o). 0.18/0.46 thf(decl_63, type, setadjoinIR: $o). 0.18/0.46 thf(decl_64, type, setadjoinE: $o). 0.18/0.46 thf(decl_65, type, setadjoinOr: $o). 0.18/0.46 thf(decl_66, type, setoftrueEq: $o). 0.18/0.46 thf(decl_67, type, powersetI: $o). 0.18/0.46 thf(decl_68, type, emptyinPowerset: $o). 0.18/0.46 thf(decl_69, type, emptyInPowerset: $o). 0.18/0.46 thf(decl_70, type, powersetE: $o). 0.18/0.46 thf(decl_71, type, setunionI: $o). 0.18/0.46 thf(decl_72, type, setunionE: $o). 0.18/0.46 thf(decl_73, type, subPowSU: $o). 0.18/0.46 thf(decl_74, type, exuE2: $o). 0.18/0.46 thf(decl_75, type, nonemptyImpWitness: $o). 0.18/0.46 thf(decl_76, type, uniqinunit: $o). 0.18/0.46 thf(decl_77, type, notinsingleton: $o). 0.18/0.46 thf(decl_78, type, eqinunit: $o). 0.18/0.46 thf(decl_79, type, singletonsswitch: $o). 0.18/0.46 thf(decl_80, type, upairsetE: $o). 0.18/0.46 thf(decl_81, type, upairsetIL: $o). 0.18/0.46 thf(decl_82, type, upairsetIR: $o). 0.18/0.46 thf(decl_83, type, emptyE1: $o). 0.18/0.46 thf(decl_84, type, vacuousDall: $o). 0.18/0.46 thf(decl_85, type, quantDeMorgan1: $o). 0.18/0.46 thf(decl_86, type, quantDeMorgan2: $o). 0.18/0.46 thf(decl_87, type, quantDeMorgan3: $o). 0.18/0.46 thf(decl_88, type, quantDeMorgan4: $o). 0.18/0.46 thf(decl_89, type, prop2setI: $o). 0.18/0.46 thf(decl_90, type, set2prop: $i > $o). 0.18/0.46 thf(decl_91, type, prop2set2propI: $o). 0.18/0.46 thf(decl_92, type, notdexE: $o). 0.18/0.46 thf(decl_93, type, notdallE: $o). 0.18/0.46 thf(decl_94, type, exuI1: $o). 0.18/0.46 thf(decl_95, type, exuI3: $o). 0.18/0.46 thf(decl_96, type, exuI2: $o). 0.18/0.46 thf(decl_97, type, inCongP: $o). 0.18/0.46 thf(decl_98, type, in__Cong: $o). 0.18/0.46 thf(decl_99, type, exuE3u: $o). 0.18/0.46 thf(decl_100, type, exu__Cong: $o). 0.18/0.46 thf(decl_101, type, emptyset__Cong: $o). 0.18/0.46 thf(decl_102, type, setadjoin__Cong: $o). 0.18/0.46 thf(decl_103, type, powerset__Cong: $o). 0.18/0.46 thf(decl_104, type, setunion__Cong: $o). 0.18/0.46 thf(decl_105, type, omega__Cong: $o). 0.18/0.46 thf(decl_106, type, exuEu: $o). 0.18/0.46 thf(decl_107, type, descr__Cong: $o). 0.18/0.46 thf(decl_108, type, dsetconstr__Cong: $o). 0.18/0.46 thf(decl_109, type, subset: $i > $i > $o). 0.18/0.46 thf(decl_112, type, subsetI1: $o). 0.18/0.46 thf(decl_113, type, eqimpsubset2: $o). 0.18/0.46 thf(decl_114, type, eqimpsubset1: $o). 0.18/0.46 thf(decl_115, type, subsetI2: $o). 0.18/0.46 thf(decl_116, type, epred1_0: $o). 0.18/0.46 thf(decl_117, type, esk1_2: $i > $i > $i). 0.18/0.46 thf(decl_118, type, esk2_2: $i > $i > $i). 0.18/0.46 thf(decl_119, type, esk3_2: $i > $i > $i). 0.18/0.46 thf(decl_120, type, esk4_1: $i > $i). 0.18/0.46 thf(decl_121, type, esk5_2: ($i > $i > $o) > $i > $i). 0.18/0.46 thf(decl_122, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.18/0.46 thf(decl_123, type, esk7_2: ($i > $i > $o) > $i > $i). 0.18/0.46 thf(decl_124, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.18/0.46 thf(decl_125, type, esk9_1: $i > $i). 0.18/0.46 thf(decl_126, type, esk10_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_127, type, esk11_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_128, type, esk12_1: ($i > $o) > $i). 0.18/0.46 thf(decl_129, type, esk13_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_130, type, esk14_1: ($i > $o) > $i). 0.18/0.46 thf(decl_131, type, esk15_2: $i > $i > $i). 0.18/0.46 thf(decl_132, type, esk16_2: $i > $i > $i). 0.18/0.46 thf(decl_133, type, esk17_1: $i > $i). 0.18/0.46 thf(decl_134, type, esk18_1: $i > $i). 0.18/0.46 thf(decl_135, type, esk19_1: $i > $i). 0.18/0.46 thf(decl_136, type, esk20_2: $i > $i > $i). 0.18/0.46 thf(decl_137, type, esk21_3: $i > $i > $o > $i). 0.18/0.46 thf(decl_138, type, esk22_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_139, type, esk23_1: ($i > $o) > $i). 0.18/0.46 thf(decl_140, type, esk24_1: $i > $i). 0.18/0.46 thf(decl_141, type, esk25_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_142, type, esk26_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_143, type, esk27_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_144, type, esk28_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_145, type, esk29_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_146, type, esk30_2: $i > ($i > $o) > $i). 0.18/0.46 thf(decl_147, type, esk31_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_148, type, esk32_1: ($i > $o) > $i). 0.18/0.46 thf(decl_149, type, esk33_1: ($i > $o) > $i). 0.18/0.46 thf(decl_150, type, esk34_1: ($i > $o) > $i). 0.18/0.46 thf(decl_151, type, esk35_1: ($i > $o) > $i). 0.18/0.46 thf(decl_152, type, esk36_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_153, type, esk37_1: ($i > $o) > $i). 0.18/0.46 thf(decl_154, type, esk38_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_155, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_156, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_157, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.18/0.46 thf(decl_158, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_159, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.18/0.46 thf(decl_160, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_161, type, esk45_2: ($i > $o) > $i > $i). 0.18/0.46 thf(decl_162, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_163, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_164, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.18/0.46 thf(decl_165, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.18/0.46 thf(decl_166, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_167, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.18/0.46 thf(decl_168, type, esk52_2: $i > $i > $i). 0.18/0.46 thf(decl_169, type, esk53_2: $i > $i > $i). 0.18/0.46 thf(decl_170, type, esk54_0: $i). 0.18/0.46 thf(decl_171, type, esk55_0: $i). 0.18/0.46 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', replAx)). 0.18/0.46 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exu)). 0.18/0.46 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', descrp)). 0.18/0.46 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuE1)). 0.18/0.46 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuE3e)). 0.18/0.46 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', nonempty)). 0.18/0.46 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', nonemptyI)). 0.18/0.46 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuE2)). 0.18/0.46 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.C9fAkmzxTJ/Vampire---4.8_14977', exuI1)). 0.18/0.46 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuI3)). 0.18/0.46 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuI2)). 0.18/0.46 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.C9fAkmzxTJ/Vampire---4.8_14977', exuE3u)). 0.18/0.46 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exu__Cong)). 0.18/0.46 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', exuEu)). 0.18/0.46 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', descr__Cong)). 0.18/0.46 thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', subset)). 0.18/0.46 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', dsetconstrI)). 0.18/0.46 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', dsetconstrEL)). 0.18/0.46 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', dsetconstrER)). 0.18/0.46 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setbeta)). 0.18/0.46 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', nonemptyE1)). 0.18/0.46 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', nonemptyI1)). 0.18/0.46 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setoftrueEq)). 0.18/0.46 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', nonemptyImpWitness)). 0.18/0.46 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.C9fAkmzxTJ/Vampire---4.8_14977', emptyE1)). 0.18/0.46 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', dsetconstr__Cong)). 0.18/0.46 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', subsetI1)). 0.18/0.46 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', eqimpsubset2)). 0.18/0.46 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', eqimpsubset1)). 0.18/0.46 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', subsetI2)). 0.18/0.46 thf(emptysetsubset, conjecture, ((setextAx)=>((((powersetAx)=>((setunionAx)=>(((omegaSAx)=>((((((descrp)=>((((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((emptysetimpfalse)=>((((setext)=>((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>(((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>(((setoftrueEq)=>((powersetI)=>(((emptyInPowerset)=>(((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((((eqinunit)=>(((upairsetE)=>((upairsetIL)=>((upairsetIR)=>(((((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((((notdexE)=>((((exuI3)=>(((inCongP)=>((in__Cong)=>((((emptyset__Cong)=>(((((((((subsetI1)=>((eqimpsubset2)=>((![X4:$i]:((subset @ emptyset @ X4))<=(subsetI2))<=(eqimpsubset1))))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))<=(setadjoin__Cong)))<=(exu__Cong))<=(exuE3u))))<=(exuI2)))<=(exuI1))<=(notdallE)))<=(prop2set2propI))<=(prop2setI)))))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))))<=(singletonsswitch)))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE)))<=(powersetE)))<=(emptyinPowerset))))<=(setadjoinOr)))))<=(setadjoinIL)))<=(nonemptyI)))<=(setbeta)))))<=(exuE3e))<=(notinemptyset)))<=(emptysetE)))))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx))<=(foundationAx))<=(replAx))<=(omegaIndAx)))<=(omega0Ax))))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptysetsubset)). 0.18/0.46 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setextAx)). 0.18/0.46 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptysetAx)). 0.18/0.46 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setadjoinAx)). 0.18/0.46 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', powersetAx)). 0.18/0.46 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setunionAx)). 0.18/0.46 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', omega0Ax)). 0.18/0.46 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', omegaSAx)). 0.18/0.46 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', omegaIndAx)). 0.18/0.46 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', foundationAx)). 0.18/0.46 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.C9fAkmzxTJ/Vampire---4.8_14977', wellorderingAx)). 0.18/0.46 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', prop2setE)). 0.18/0.46 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptysetE)). 0.18/0.46 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptysetimpfalse)). 0.18/0.46 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', notinemptyset)). 0.18/0.46 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setext)). 0.18/0.46 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptyI)). 0.18/0.46 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', noeltsimpempty)). 0.18/0.46 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setadjoinIL)). 0.18/0.46 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptyinunitempty)). 0.18/0.46 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setadjoinIR)). 0.18/0.46 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.C9fAkmzxTJ/Vampire---4.8_14977', setadjoinE)). 0.18/0.46 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setadjoinOr)). 0.18/0.46 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', powersetI)). 0.18/0.46 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptyinPowerset)). 0.18/0.46 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptyInPowerset)). 0.18/0.46 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', powersetE)). 0.18/0.46 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setunionI)). 0.18/0.46 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.C9fAkmzxTJ/Vampire---4.8_14977', setunionE)). 0.18/0.46 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', subPowSU)). 0.18/0.46 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', uniqinunit)). 0.18/0.46 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', notinsingleton)). 0.18/0.46 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', eqinunit)). 0.18/0.46 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', singletonsswitch)). 0.18/0.46 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', upairsetE)). 0.18/0.46 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', upairsetIL)). 0.18/0.46 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', upairsetIR)). 0.18/0.46 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', vacuousDall)). 0.18/0.46 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', quantDeMorgan1)). 0.18/0.46 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', quantDeMorgan2)). 0.18/0.46 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', quantDeMorgan3)). 0.18/0.46 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', quantDeMorgan4)). 0.18/0.46 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', prop2setI)). 0.18/0.46 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', prop2set2propI)). 0.18/0.46 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', notdexE)). 0.18/0.46 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', notdallE)). 0.18/0.46 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', inCongP)). 0.18/0.46 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', in__Cong)). 0.18/0.46 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', emptyset__Cong)). 0.18/0.46 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setadjoin__Cong)). 0.18/0.46 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', powerset__Cong)). 0.18/0.46 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', setunion__Cong)). 0.18/0.46 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.C9fAkmzxTJ/Vampire---4.8_14977', omega__Cong)). 0.18/0.46 thf(c_0_83, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.18/0.46 thf(c_0_84, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.18/0.46 thf(c_0_85, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.18/0.46 thf(c_0_86, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.18/0.46 thf(c_0_87, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.18/0.46 thf(c_0_88, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.18/0.46 thf(c_0_89, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.18/0.46 thf(c_0_90, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.18/0.46 thf(c_0_91, 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])). 0.18/0.46 thf(c_0_92, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.18/0.46 thf(c_0_93, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.18/0.46 thf(c_0_94, 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])). 0.18/0.46 thf(c_0_95, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.18/0.46 thf(c_0_96, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.18/0.46 thf(c_0_97, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.18/0.46 thf(c_0_98, plain, ((subset)=(^[Z0/* 19 */:$i, Z1:$i]:(![X2:$i]:(((in @ X2 @ Z0)=>(in @ X2 @ Z1)))))), inference(fof_simplification,[status(thm)],[subset])). 0.18/0.46 thf(c_0_99, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X242:$i]:((((X6 @ X2 @ X242))&![X243:$i]:((((X6 @ X2 @ X243))=>((X242)=(X243)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_83, c_0_84])). 0.18/0.46 thf(c_0_100, plain, ((descrp)=(![X1:$i > $o]:(((?[X244:$i]:((((X1 @ X244))&![X245:$i]:((((X1 @ X245))=>((X244)=(X245)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_84])). 0.18/0.46 thf(c_0_101, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.18/0.46 thf(c_0_102, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.18/0.46 thf(c_0_103, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.18/0.46 thf(c_0_104, plain, ((exuE1)=(![X1:$i > $o]:(((?[X246:$i]:((((X1 @ X246))&![X247:$i]:((((X1 @ X247))=>((X246)=(X247)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_84])). 0.18/0.46 thf(c_0_105, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X248:$i]:((((X1 @ X248))&![X249:$i]:((((X1 @ X249))=>((X248)=(X249)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_87, c_0_84])). 0.18/0.46 thf(c_0_106, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.18/0.46 thf(c_0_107, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_88])). 0.18/0.46 thf(c_0_108, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_88])). 0.18/0.46 thf(c_0_109, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_88])). 0.18/0.46 thf(c_0_110, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.18/0.46 thf(c_0_111, plain, ((exuE2)=(![X1:$i > $o]:(((?[X250:$i]:((((X1 @ X250))&![X251:$i]:((((X1 @ X251))=>((X250)=(X251)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_84])). 0.18/0.46 thf(c_0_112, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_88])). 0.18/0.46 thf(c_0_113, 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])). 0.18/0.46 thf(c_0_114, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X252:$i]:((((X1 @ X252))&![X253:$i]:((((X1 @ X253))=>((X252)=(X253))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_84])). 0.18/0.46 thf(c_0_115, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X254:$i]:((((X1 @ X254))&![X255:$i]:((((X1 @ X255))=>((X254)=(X255)))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_84])). 0.18/0.46 thf(c_0_116, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X256:$i]:((((X1 @ X256))&![X257:$i]:((((X1 @ X257))=>((X256)=(X257))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_84])). 0.18/0.46 thf(c_0_117, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X258:$i]:((((X1 @ X258))&![X259:$i]:((((X1 @ X259))=>((X258)=(X259)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_84])). 0.18/0.46 thf(c_0_118, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X260:$i]:((((X1 @ X260))&![X261:$i]:((((X1 @ X261))=>((X260)=(X261)))))))<=>(?[X262:$i]:((((X17 @ X262))&![X263:$i]:((((X17 @ X263))=>((X262)=(X263)))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_84])). 0.18/0.46 thf(c_0_119, plain, ((exuEu)=(![X1:$i > $o]:(((?[X264:$i]:((((X1 @ X264))&![X265:$i]:((((X1 @ X265))=>((X264)=(X265)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_84])). 0.18/0.46 thf(c_0_120, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X266:$i]:((((X1 @ X266))&![X267:$i]:((((X1 @ X267))=>((X266)=(X267)))))))=>((?[X268:$i]:((((X17 @ X268))&![X269:$i]:((((X17 @ X269))=>((X268)=(X269)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_84])). 0.18/0.46 thf(c_0_121, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.18/0.46 thf(c_0_122, axiom, ((subsetI1)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X270:$i]:(((in @ X270 @ X4)=>(in @ X270 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI1, c_0_98])). 0.18/0.46 thf(c_0_123, axiom, ((eqimpsubset2)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X271:$i]:(((in @ X271 @ X5)=>(in @ X271 @ X4)))))))), inference(apply_def,[status(thm)],[eqimpsubset2, c_0_98])). 0.18/0.46 thf(c_0_124, axiom, ((eqimpsubset1)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X272:$i]:(((in @ X272 @ X4)=>(in @ X272 @ X5)))))))), inference(apply_def,[status(thm)],[eqimpsubset1, c_0_98])). 0.18/0.46 thf(c_0_125, axiom, ((subsetI2)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X273:$i]:(((in @ X273 @ X4)=>(in @ X273 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI2, c_0_98])). 0.18/0.46 thf(c_0_126, plain, ((epred1_0)<=>![X491:$i]:(?[X492:$i]:((((![X493:$i]:(((in @ X493 @ X492)=>![X494:$i]:(((in @ X494 @ X493)=>(in @ X494 @ X491)))))&![X495:$i, X496:$i]:((((in @ X495 @ X491)&(in @ X496 @ X491))=>(![X497:$i]:(((in @ X497 @ X492)=>((in @ X495 @ X497)<=>(in @ X496 @ X497))))=>((X495)=(X496))))))&![X498:$i, X499:$i]:((((in @ X498 @ X492)&(in @ X499 @ X492))=>(![X500:$i]:(((in @ X500 @ X498)=>(in @ X500 @ X499)))|![X501:$i]:(((in @ X501 @ X499)=>(in @ X501 @ X498)))))))&![X502:$i]:(((![X503:$i]:(((in @ X503 @ X502)=>(in @ X503 @ X491)))&?[X504:$i]:((in @ X504 @ X502)))=>?[X505:$i, X506:$i]:(((((in @ X505 @ X492)&(in @ X506 @ X502))&~(?[X507:$i]:(((in @ X507 @ X505)&(in @ X507 @ X502)))))&![X508:$i]:(((in @ X508 @ X492)=>(![X509:$i]:(((in @ X509 @ X508)=>(in @ X509 @ X505)))|(in @ X506 @ X508)))))))))))), introduced(definition)). 0.18/0.46 thf(c_0_127, negated_conjecture, ~((![X274:$i, X275:$i]:((![X276:$i]:(((in @ X276 @ X274)<=>(in @ X276 @ X275)))=>((X274)=(X275))))=>(![X528:$i]:(~(in @ X528 @ emptyset))=>(![X525:$i, X526:$i, X527:$i]:(((in @ X527 @ (setadjoin @ X525 @ X526))<=>(((X527)=(X525))|(in @ X527 @ X526))))=>(![X277:$i, X278:$i]:(((in @ X278 @ (powerset @ X277))<=>![X279:$i]:(((in @ X279 @ X278)=>(in @ X279 @ X277)))))=>(![X280:$i, X281:$i]:(((in @ X281 @ (setunion @ X280))<=>?[X282:$i]:(((in @ X281 @ X282)&(in @ X282 @ X280)))))=>((in @ emptyset @ omega)=>(![X283:$i]:(((in @ X283 @ omega)=>(in @ (setadjoin @ X283 @ X283) @ omega)))=>(![X522:$i]:((((in @ emptyset @ X522)&![X523:$i]:((((in @ X523 @ omega)&(in @ X523 @ X522))=>(in @ (setadjoin @ X523 @ X523) @ X522))))=>![X524:$i]:(((in @ X524 @ omega)=>(in @ X524 @ X522)))))=>(![X514:$i > $i > $o, X515:$i]:((![X516:$i]:(((in @ X516 @ X515)=>?[X517:$i]:(((X514 @ X516 @ X517)&![X518:$i]:(((X514 @ X516 @ X518)=>((X517)=(X518))))))))=>?[X519:$i]:(![X520:$i]:(((in @ X520 @ X519)<=>?[X521:$i]:(((in @ X521 @ X515)&(X514 @ X521 @ X520))))))))=>(![X510:$i]:((?[X511:$i]:((in @ X511 @ X510))=>?[X512:$i]:(((in @ X512 @ X510)&~(?[X513:$i]:(((in @ X513 @ X512)&(in @ X513 @ X510))))))))=>((epred1_0)=>(![X284:$i > $o]:((?[X285:$i]:(((X284 @ X285)&![X286:$i]:(((X284 @ X286)=>((X285)=(X286))))))=>(X284 @ (descr @ (^[Z0/* 3 */:$i]:((X284 @ Z0)))))))=>(![X488:$i, X489:$i > $o, X490:$i]:(((in @ X490 @ X488)=>((X489 @ X490)=>(in @ X490 @ (dsetconstr @ X488 @ (^[Z0/* 3 */:$i]:((X489 @ Z0))))))))=>(![X485:$i, X486:$i > $o, X487:$i]:(((in @ X487 @ (dsetconstr @ X485 @ (^[Z0/* 3 */:$i]:((X486 @ Z0)))))=>(in @ X487 @ X485)))=>(![X287:$i, X288:$i > $o, X289:$i]:(((in @ X289 @ (dsetconstr @ X287 @ (^[Z0/* 3 */:$i]:((X288 @ Z0)))))=>(X288 @ X289)))=>(![X290:$i > $o]:((?[X291:$i]:(((X290 @ X291)&![X292:$i]:(((X290 @ X292)=>((X291)=(X292))))))=>?[X293:$i]:(((X290 @ X293)&![X294:$i]:(((X290 @ X294)=>((X293)=(X294))))))))=>(![X295:$o, X296:$i]:(((in @ X296 @ (prop2set @ ((X295))))=>(X295)))=>(![X483:$i]:(((in @ X483 @ emptyset)=>![X484:$o]:((X484))))=>(![X297:$i]:(~(in @ X297 @ emptyset))=>(![X482:$i]:(~(in @ X482 @ emptyset))=>(![X478:$i > $o]:((?[X479:$i]:(((X478 @ X479)&![X480:$i]:(((X478 @ X480)=>((X479)=(X480))))))=>?[X481:$i]:((X478 @ X481))))=>(![X298:$i, X299:$i]:((![X300:$i]:(((in @ X300 @ X298)=>(in @ X300 @ X299)))=>(![X301:$i]:(((in @ X301 @ X299)=>(in @ X301 @ X298)))=>((X298)=(X299)))))=>(![X302:$i]:((![X303:$i]:(~(in @ X303 @ X302))=>((X302)=(emptyset))))=>(![X304:$i]:((![X305:$i]:(~(in @ X305 @ X304))=>((X304)=(emptyset))))=>(![X475:$i, X476:$i > $o, X477:$i]:(((in @ X477 @ X475)=>((in @ X477 @ (dsetconstr @ X475 @ (^[Z0/* 3 */:$i]:((X476 @ Z0)))))<=>(X476 @ X477))))=>(![X306:$i]:((((X306)!=(emptyset))=>?[X307:$i]:((in @ X307 @ X306))))=>(![X472:$i, X473:$i > $o, X474:$i]:(((in @ X474 @ X472)=>((X473 @ X474)=>((dsetconstr @ X472 @ (^[Z0/* 3 */:$i]:((X473 @ Z0))))!=(emptyset)))))=>(![X308:$i]:((?[X309:$i]:((in @ X309 @ X308))=>((X308)!=(emptyset))))=>(![X470:$i, X471:$i]:((in @ X470 @ (setadjoin @ X470 @ X471)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X310:$i, X311:$i, X312:$i]:(((in @ X312 @ X311)=>(in @ X312 @ (setadjoin @ X310 @ X311))))=>(![X313:$i, X314:$i, X315:$i]:(((in @ X315 @ (setadjoin @ X313 @ X314))=>![X316:$o]:(((((X315)=(X313))=>(X316))=>(((in @ X315 @ X314)=>(X316))=>(X316))))))=>(![X467:$i, X468:$i, X469:$i]:(((in @ X469 @ (setadjoin @ X467 @ X468))=>(((X469)=(X467))|(in @ X469 @ X468))))=>(![X317:$i]:(((dsetconstr @ X317 @ (^[Z0/* 3 */:$i]:(($true))))=(X317)))=>(![X318:$i, X319:$i]:((![X320:$i]:(((in @ X320 @ X319)=>(in @ X320 @ X318)))=>(in @ X319 @ (powerset @ X318))))=>(![X466:$i]:((in @ emptyset @ (powerset @ X466)))=>(![X321:$i]:((in @ emptyset @ (powerset @ X321)))=>(![X463:$i, X464:$i, X465:$i]:(((in @ X464 @ (powerset @ X463))=>((in @ X465 @ X464)=>(in @ X465 @ X463))))=>(![X322:$i, X323:$i, X324:$i]:(((in @ X323 @ X324)=>((in @ X324 @ X322)=>(in @ X323 @ (setunion @ X322)))))=>(![X459:$i, X460:$i]:(((in @ X460 @ (setunion @ X459))=>![X461:$o]:((![X462:$i]:(((in @ X460 @ X462)=>((in @ X462 @ X459)=>(X461))))=>(X461)))))=>(![X325:$i, X326:$i]:(((in @ X326 @ X325)=>(in @ X326 @ (powerset @ (setunion @ X325)))))=>(![X327:$i > $o]:((?[X328:$i]:(((X327 @ X328)&![X329:$i]:(((X327 @ X329)=>((X328)=(X329))))))=>?[X330:$i]:(![X331:$i]:(((X327 @ X331)<=>((X331)=(X330)))))))=>(![X332:$i]:((((X332)!=(emptyset))=>?[X333:$i]:((in @ X333 @ X332))))=>(![X457:$i, X458:$i]:(((in @ X457 @ (setadjoin @ X458 @ emptyset))=>((X457)=(X458))))=>(![X455:$i, X456:$i]:((((X455)!=(X456))=>~(in @ X456 @ (setadjoin @ X455 @ emptyset))))=>(![X334:$i, X335:$i]:((((X334)=(X335))=>(in @ X334 @ (setadjoin @ X335 @ emptyset))))=>(![X453:$i, X454:$i]:(((in @ X453 @ (setadjoin @ X454 @ emptyset))=>(in @ X454 @ (setadjoin @ X453 @ emptyset))))=>(![X336:$i, X337:$i, X338:$i]:(((in @ X338 @ (setadjoin @ X336 @ (setadjoin @ X337 @ emptyset)))=>(((X338)=(X336))|((X338)=(X337)))))=>(![X339:$i, X340:$i]:((in @ X339 @ (setadjoin @ X339 @ (setadjoin @ X340 @ emptyset))))=>(![X341:$i, X342:$i]:((in @ X342 @ (setadjoin @ X341 @ (setadjoin @ X342 @ emptyset))))=>(![X450:$i, X451:$i > $o]:((?[X452:$i]:(((in @ X452 @ X450)&(X451 @ X452)))=>((dsetconstr @ X450 @ (^[Z0/* 3 */:$i]:((X451 @ Z0))))!=(emptyset))))=>(![X448:$i > $o, X449:$i]:(((in @ X449 @ emptyset)=>(X448 @ X449)))=>(![X444:$i, X445:$i > $o]:((~(![X446:$i]:(((in @ X446 @ X444)=>(X445 @ X446))))=>?[X447:$i]:(((in @ X447 @ X444)&~(X445 @ X447)))))=>(![X343:$i, X344:$i > $o]:((![X345:$i]:(((in @ X345 @ X343)=>~(X344 @ X345)))=>~(?[X346:$i]:(((in @ X346 @ X343)&(X344 @ X346))))))=>(![X347:$i, X348:$i > $o]:((~(?[X349:$i]:(((in @ X349 @ X347)&(X348 @ X349))))=>![X350:$i]:(((in @ X350 @ X347)=>~(X348 @ X350)))))=>(![X351:$i, X352:$i > $o]:((?[X353:$i]:(((in @ X353 @ X351)&~(X352 @ X353)))=>~(![X354:$i]:(((in @ X354 @ X351)=>(X352 @ X354))))))=>(![X443:$o]:(((X443)=>(in @ emptyset @ (prop2set @ ((X443))))))=>(![X442:$o]:(((X442)=>(set2prop @ (prop2set @ ((X442))))))=>(![X355:$i, X356:$i > $o]:((~(?[X357:$i]:(((in @ X357 @ X355)&(X356 @ X357))))=>![X358:$i]:(((in @ X358 @ X355)=>~(X356 @ X358)))))=>(![X438:$i, X439:$i > $o]:((~(![X440:$i]:(((in @ X440 @ X438)=>(X439 @ X440))))=>?[X441:$i]:(((in @ X441 @ X438)&~(X439 @ X441)))))=>(![X433:$i > $o]:((?[X434:$i]:(((X433 @ X434)&![X435:$i]:(((X433 @ X435)=>((X434)=(X435))))))=>?[X436:$i]:(((X433 @ X436)&![X437:$i]:(((X433 @ X437)=>((X436)=(X437))))))))=>(![X359:$i > $o]:((?[X360:$i]:((X359 @ X360))=>(![X361:$i, X362:$i]:(((X359 @ X361)=>((X359 @ X362)=>((X361)=(X362)))))=>?[X363:$i]:(((X359 @ X363)&![X364:$i]:(((X359 @ X364)=>((X363)=(X364)))))))))=>(![X428:$i > $o]:((?[X429:$i]:(![X430:$i]:(((X428 @ X430)<=>((X430)=(X429)))))=>?[X431:$i]:(((X428 @ X431)&![X432:$i]:(((X428 @ X432)=>((X431)=(X432))))))))=>(![X365:$i, X366:$i]:((((X365)=(X366))=>![X367:$i, X368:$i]:((((X367)=(X368))=>((in @ X367 @ X365)=>(in @ X368 @ X366))))))=>(![X369:$i, X370:$i]:((((X369)=(X370))=>![X371:$i, X372:$i]:((((X371)=(X372))=>((in @ X371 @ X369)<=>(in @ X372 @ X370))))))=>(![X423:$i > $o]:((?[X424:$i]:(((X423 @ X424)&![X425:$i]:(((X423 @ X425)=>((X424)=(X425))))))=>![X426:$i, X427:$i]:(((X423 @ X426)=>((X423 @ X427)=>((X426)=(X427)))))))=>(![X415:$i > $o, X416:$i > $o]:((![X417:$i, X418:$i]:((((X417)=(X418))=>((X415 @ X417)<=>(X416 @ X418))))=>(?[X419:$i]:(((X415 @ X419)&![X420:$i]:(((X415 @ X420)=>((X419)=(X420))))))<=>?[X421:$i]:(((X416 @ X421)&![X422:$i]:(((X416 @ X422)=>((X421)=(X422)))))))))=>(((emptyset)=(emptyset))=>(![X411:$i, X412:$i]:((((X411)=(X412))=>![X413:$i, X414:$i]:((((X413)=(X414))=>((setadjoin @ X411 @ X413)=(setadjoin @ X412 @ X414))))))=>(![X409:$i, X410:$i]:((((X409)=(X410))=>((powerset @ X409)=(powerset @ X410))))=>(![X407:$i, X408:$i]:((((X407)=(X408))=>((setunion @ X407)=(setunion @ X408))))=>(((omega)=(omega))=>(![X402:$i > $o]:((?[X403:$i]:(((X402 @ X403)&![X404:$i]:(((X402 @ X404)=>((X403)=(X404))))))=>![X405:$i, X406:$i]:(((X402 @ X405)=>((X402 @ X406)=>((X405)=(X406)))))))=>(![X394:$i > $o, X395:$i > $o]:((![X396:$i, X397:$i]:((((X396)=(X397))=>((X394 @ X396)<=>(X395 @ X397))))=>(?[X398:$i]:(((X394 @ X398)&![X399:$i]:(((X394 @ X399)=>((X398)=(X399))))))=>(?[X400:$i]:(((X395 @ X400)&![X401:$i]:(((X395 @ X401)=>((X400)=(X401))))))=>((descr @ (^[Z0/* 3 */:$i]:((X394 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X395 @ Z0)))))))))=>(![X388:$i, X389:$i]:((((X388)=(X389))=>![X390:$i > $o, X391:$i > $o]:((![X392:$i]:(((in @ X392 @ X388)=>![X393:$i]:(((in @ X393 @ X389)=>(((X392)=(X393))=>((X390 @ X392)<=>(X391 @ X393)))))))=>((dsetconstr @ X388 @ (^[Z0/* 3 */:$i]:((X390 @ Z0))))=(dsetconstr @ X389 @ (^[Z0/* 3 */:$i]:((X391 @ Z0)))))))))=>(![X373:$i, X374:$i]:((![X375:$i]:(((in @ X375 @ X373)=>(in @ X375 @ X374)))=>![X376:$i]:(((in @ X376 @ X373)=>(in @ X376 @ X374)))))=>(![X377:$i, X378:$i]:((((X377)=(X378))=>![X379:$i]:(((in @ X379 @ X378)=>(in @ X379 @ X377)))))=>(![X385:$i, X386:$i]:((((X385)=(X386))=>![X387:$i]:(((in @ X387 @ X385)=>(in @ X387 @ X386)))))=>(![X381:$i, X382:$i]:((![X383:$i]:(((in @ X383 @ X381)=>(in @ X383 @ X382)))=>![X384:$i]:(((in @ X384 @ X381)=>(in @ X384 @ X382)))))=>![X4:$i, X380:$i]:(((in @ X380 @ emptyset)=>(in @ X380 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[emptysetsubset]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_99]), foundationAx]), wellorderingAx]), c_0_100]), c_0_101]), c_0_102]), c_0_103]), c_0_104]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_105]), setext]), emptyI]), noeltsimpempty]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_110]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_111]), c_0_112]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_113]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_114]), c_0_115]), c_0_116]), inCongP]), in__Cong]), c_0_117]), c_0_118]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_119]), c_0_120]), c_0_121]), c_0_98]), c_0_122]), c_0_123]), c_0_124]), c_0_125])]), c_0_126])). 0.18/0.46 thf(c_0_128, negated_conjecture, ![X529:$i, X530:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$i, X540:$i, X542:$i, X543:$i, X545:$i, X546:$i, X547:$i, X548:$i, X549:$i, X551:$i, X552:$i > $i > $o, X553:$i, X555:$i, X558:$i, X560:$i, X561:$i, X562:$i, X563:$i, X565:$i, X566:$i > $o, X567:$i, X569:$i, X570:$i > $o, X571:$i, X572:$i, X573:$i > $o, X574:$i, X575:$i, X576:$i > $o, X577:$i, X578:$i > $o, X579:$i, X582:$i, X583:$o, X584:$i, X585:$i, X586:$o, X587:$i, X588:$i, X589:$i > $o, X590:$i, X593:$i, X594:$i, X597:$i, X599:$i, X601:$i, X602:$i > $o, X603:$i, X604:$i, X606:$i, X607:$i > $o, X608:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$o, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$o, X639:$i, X640:$i, X641:$i > $o, X642:$i, X645:$i, X646:$i, X647:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$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 > $o, X666:$i, X667:$i > $o, X668:$i, X669:$i, X670:$i > $o, X671:$i, X673:$i, X674:$i > $o, X676:$i, X677:$i, X678:$i > $o, X680:$i, X681:$i, X682:$i > $o, X683:$i, X685:$o, X686:$o, X687:$i, X688:$i > $o, X690:$i, X691:$i, X692:$i > $o, X693:$i, X695:$i > $o, X696:$i, X699:$i, X700:$i > $o, X701:$i, X705:$i, X706:$i > $o, X707:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i > $o, X720:$i, X722:$i, X723:$i, X724:$i > $o, X725:$i > $o, X728:$i, X731:$i, X732:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i > $o, X745:$i, X747:$i, X748:$i, X749:$i > $o, X750:$i > $o, X753:$i, X755:$i, X757:$i, X758:$i, X759:$i > $o, X760:$i > $o, X763:$i, X764:$i, X766:$i, X767:$i, X768:$i, X769:$i, 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X753))|((esk46_2 @ X749 @ X750)=(esk47_2 @ X749 @ X750))))&(((X750 @ (esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((esk46_2 @ X749 @ X750)=(esk47_2 @ X749 @ X750)))&(((X755)!=(esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((esk46_2 @ X749 @ X750)=(esk47_2 @ X749 @ X750)))))&(((((X750 @ (esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|((X749 @ (esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk46_2 @ X749 @ X750))|~(X750 @ (esk47_2 @ X749 @ X750))))&(((X755)!=(esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|((X749 @ (esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk46_2 @ X749 @ X750))|~(X750 @ (esk47_2 @ X749 @ X750)))))&(((X750 @ (esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk46_2 @ X749 @ X750))|~(X750 @ (esk47_2 @ X749 @ X750))))&(((X755)!=(esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk46_2 @ X749 @ X750))|~(X750 @ (esk47_2 @ X749 @ X750))))))&((((X750 @ (esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|((X749 @ (esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk46_2 @ X749 @ X750))|(X750 @ (esk47_2 @ X749 @ X750))))&(((X755)!=(esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|((X749 @ (esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk46_2 @ X749 @ X750))|(X750 @ (esk47_2 @ X749 @ X750)))))&(((X750 @ (esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk46_2 @ X749 @ X750))|(X750 @ (esk47_2 @ X749 @ X750))))&(((X755)!=(esk49_3 @ X749 @ X750 @ X755))|~(X750 @ X755)|((descr @ (^[Z0/* 3 */:$i]:((X749 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X750 @ Z0)))))|(((X753)!=(esk48_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk46_2 @ X749 @ X750))|(X750 @ (esk47_2 @ X749 @ X750))))))))&((((in @ (esk50_4 @ X757 @ X758 @ X759 @ X760) @ X757)|((dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X759 @ Z0))))=(dsetconstr @ X758 @ (^[Z0/* 3 */:$i]:((X760 @ Z0)))))|((X757)!=(X758)))&(((in @ (esk51_4 @ X757 @ X758 @ X759 @ X760) @ X758)|((dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X759 @ Z0))))=(dsetconstr @ X758 @ (^[Z0/* 3 */:$i]:((X760 @ Z0)))))|((X757)!=(X758)))&((((esk50_4 @ X757 @ X758 @ X759 @ X760)=(esk51_4 @ X757 @ X758 @ X759 @ X760))|((dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X759 @ Z0))))=(dsetconstr @ X758 @ (^[Z0/* 3 */:$i]:((X760 @ Z0)))))|((X757)!=(X758)))&((~(X759 @ (esk50_4 @ X757 @ X758 @ X759 @ X760))|~(X760 @ (esk51_4 @ X757 @ X758 @ X759 @ X760))|((dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X759 @ Z0))))=(dsetconstr @ X758 @ (^[Z0/* 3 */:$i]:((X760 @ Z0)))))|((X757)!=(X758)))&((X759 @ (esk50_4 @ X757 @ X758 @ X759 @ X760))|(X760 @ (esk51_4 @ X757 @ X758 @ X759 @ X760))|((dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X759 @ Z0))))=(dsetconstr @ X758 @ (^[Z0/* 3 */:$i]:((X760 @ Z0)))))|((X757)!=(X758)))))))&((((in @ (esk52_2 @ X763 @ X764) @ X763)|(~(in @ X766 @ X763)|(in @ X766 @ X764)))&(~(in @ (esk52_2 @ X763 @ X764) @ X764)|(~(in @ X766 @ X763)|(in @ X766 @ X764))))&((((X767)!=(X768))|(~(in @ X769 @ X768)|(in @ X769 @ X767)))&((((X770)!=(X771))|(~(in @ X772 @ X770)|(in @ X772 @ X771)))&((((in @ (esk53_2 @ X773 @ X774) @ X773)|(~(in @ X776 @ X773)|(in @ X776 @ X774)))&(~(in @ (esk53_2 @ X773 @ X774) @ X774)|(~(in @ X776 @ X773)|(in @ X776 @ X774))))&((in @ esk55_0 @ emptyset)&~(in @ esk55_0 @ esk54_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])])])])])). 0.18/0.46 thf(c_0_129, negated_conjecture, (in @ esk55_0 @ emptyset), inference(split_conjunct,[status(thm)],[c_0_128])). 0.18/0.46 thf(c_0_130, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_128])). 0.18/0.46 thf(c_0_131, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_129, c_0_130]), ['proof']). 0.18/0.46 # SZS output end CNFRefutation 0.18/0.46 # Parsed axioms : 177 0.18/0.46 # Removed by relevancy pruning/SinE : 0 0.18/0.46 # Initial clauses : 285 0.18/0.46 # Removed in clause preprocessing : 108 0.18/0.46 # Initial clauses in saturation : 177 0.18/0.46 # Processed clauses : 8 0.18/0.46 # ...of these trivial : 0 0.18/0.46 # ...subsumed : 0 0.18/0.46 # ...remaining for further processing : 8 0.18/0.46 # Other redundant clauses eliminated : 0 0.18/0.46 # Clauses deleted for lack of memory : 0 0.18/0.46 # Backward-subsumed : 0 0.18/0.46 # Backward-rewritten : 0 0.18/0.46 # Generated clauses : 1 0.18/0.46 # ...of the previous two non-redundant : 0 0.18/0.46 # ...aggressively subsumed : 0 0.18/0.46 # Contextual simplify-reflections : 0 0.18/0.46 # Paramodulations : 0 0.18/0.46 # Factorizations : 0 0.18/0.46 # NegExts : 0 0.18/0.46 # Equation resolutions : 0 0.18/0.46 # Total rewrite steps : 0 0.18/0.46 # Propositional unsat checks : 0 0.18/0.46 # Propositional check models : 0 0.18/0.46 # Propositional check unsatisfiable : 0 0.18/0.46 # Propositional clauses : 0 0.18/0.46 # Propositional clauses after purity: 0 0.18/0.46 # Propositional unsat core size : 0 0.18/0.46 # Propositional preprocessing time : 0.000 0.18/0.46 # Propositional encoding time : 0.000 0.18/0.46 # Propositional solver time : 0.000 0.18/0.46 # Success case prop preproc time : 0.000 0.18/0.46 # Success case prop encoding time : 0.000 0.18/0.46 # Success case prop solver time : 0.000 0.18/0.46 # Current number of processed clauses : 7 0.18/0.46 # Positive orientable unit clauses : 5 0.18/0.46 # Positive unorientable unit clauses: 0 0.18/0.46 # Negative unit clauses : 2 0.18/0.46 # Non-unit-clauses : 0 0.18/0.46 # Current number of unprocessed clauses: 169 0.18/0.46 # ...number of literals in the above : 619 0.18/0.46 # Current number of archived formulas : 0 0.18/0.46 # Current number of archived clauses : 1 0.18/0.46 # Clause-clause subsumption calls (NU) : 0 0.18/0.46 # Rec. Clause-clause subsumption calls : 0 0.18/0.46 # Non-unit clause-clause subsumptions : 0 0.18/0.46 # Unit Clause-clause subsumption calls : 0 0.18/0.46 # Rewrite failures with RHS unbound : 0 0.18/0.46 # BW rewrite match attempts : 0 0.18/0.46 # BW rewrite match successes : 0 0.18/0.46 # Condensation attempts : 8 0.18/0.46 # Condensation successes : 0 0.18/0.46 # Termbank termtop insertions : 21429 0.18/0.46 0.18/0.46 # ------------------------------------------------- 0.18/0.46 # User time : 0.013 s 0.18/0.46 # System time : 0.007 s 0.18/0.46 # Total time : 0.020 s 0.18/0.46 # Maximum resident set size: 4324 pages 0.18/0.47 0.18/0.47 # ------------------------------------------------- 0.18/0.47 # User time : 0.039 s 0.18/0.47 # System time : 0.015 s 0.18/0.47 # Total time : 0.054 s 0.18/0.47 # Maximum resident set size: 1916 pages 0.18/0.47 % E---3.1 exiting 0.18/0.47 EOF