0.09/0.10 % Problem : Vampire---4.8_5735 : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : run_E %s %d THM 0.10/0.30 % Computer : n024.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1440 0.10/0.30 % WCLimit : 180 0.10/0.30 % DateTime : Mon Jul 3 12:56:52 EDT 2023 0.10/0.30 % CPUTime : 0.15/0.41 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.OSNwGK29Ir/Vampire---4.8_5735 0.15/0.41 # Version: 3.1pre001-ho 0.15/0.43 # Preprocessing class: HSMSSLSSLLLCHFA. 0.15/0.43 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.43 # Starting new_ho_10 with 900s (5) cores 0.15/0.43 # Starting sh5l with 180s (1) cores 0.15/0.43 # Starting new_bool_1 with 180s (1) cores 0.15/0.43 # Starting new_bool_2 with 180s (1) cores 0.15/0.43 # new_bool_1 with pid 5916 completed with status 0 0.15/0.43 # Result found by new_bool_1 0.15/0.43 # Preprocessing class: HSMSSLSSLLLCHFA. 0.15/0.43 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.43 # Starting new_ho_10 with 900s (5) cores 0.15/0.43 # Starting sh5l with 180s (1) cores 0.15/0.43 # Starting new_bool_1 with 180s (1) cores 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.43 # Search class: HGHSM-FFMM31-SHFMMSBN 0.15/0.43 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.15/0.43 # Starting new_ho_10 with 109s (1) cores 0.15/0.43 # new_ho_10 with pid 5919 completed with status 0 0.15/0.43 # Result found by new_ho_10 0.15/0.43 # Preprocessing class: HSMSSLSSLLLCHFA. 0.15/0.43 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.43 # Starting new_ho_10 with 900s (5) cores 0.15/0.43 # Starting sh5l with 180s (1) cores 0.15/0.43 # Starting new_bool_1 with 180s (1) cores 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.43 # Search class: HGHSM-FFMM31-SHFMMSBN 0.15/0.43 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.15/0.43 # Starting new_ho_10 with 109s (1) cores 0.15/0.43 # Preprocessing time : 0.003 s 0.15/0.43 # Presaturation interreduction done 0.15/0.43 0.15/0.43 # Proof found! 0.15/0.43 # SZS status Theorem 0.15/0.43 # SZS output start CNFRefutation 0.15/0.43 thf(decl_22, type, in: $i > $i > $o). 0.15/0.43 thf(decl_23, type, exu: ($i > $o) > $o). 0.15/0.43 thf(decl_24, type, setextAx: $o). 0.15/0.43 thf(decl_25, type, emptyset: $i). 0.15/0.43 thf(decl_26, type, emptysetAx: $o). 0.15/0.43 thf(decl_27, type, setadjoin: $i > $i > $i). 0.15/0.43 thf(decl_28, type, setadjoinAx: $o). 0.15/0.43 thf(decl_29, type, powerset: $i > $i). 0.15/0.43 thf(decl_30, type, powersetAx: $o). 0.15/0.43 thf(decl_31, type, setunion: $i > $i). 0.15/0.43 thf(decl_32, type, setunionAx: $o). 0.15/0.43 thf(decl_33, type, omega: $i). 0.15/0.43 thf(decl_34, type, omega0Ax: $o). 0.15/0.43 thf(decl_35, type, omegaSAx: $o). 0.15/0.43 thf(decl_36, type, omegaIndAx: $o). 0.15/0.43 thf(decl_37, type, replAx: $o). 0.15/0.43 thf(decl_38, type, foundationAx: $o). 0.15/0.43 thf(decl_39, type, wellorderingAx: $o). 0.15/0.43 thf(decl_41, type, descrp: $o). 0.15/0.43 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_43, type, dsetconstrI: $o). 0.15/0.43 thf(decl_44, type, dsetconstrEL: $o). 0.15/0.43 thf(decl_45, type, dsetconstrER: $o). 0.15/0.43 thf(decl_46, type, exuE1: $o). 0.15/0.43 thf(decl_47, type, prop2set: $o > $i). 0.15/0.43 thf(decl_48, type, prop2setE: $o). 0.15/0.43 thf(decl_49, type, emptysetE: $o). 0.15/0.43 thf(decl_50, type, emptysetimpfalse: $o). 0.15/0.43 thf(decl_51, type, notinemptyset: $o). 0.15/0.43 thf(decl_52, type, exuE3e: $o). 0.15/0.43 thf(decl_53, type, setext: $o). 0.15/0.43 thf(decl_54, type, emptyI: $o). 0.15/0.43 thf(decl_55, type, noeltsimpempty: $o). 0.15/0.43 thf(decl_56, type, setbeta: $o). 0.15/0.43 thf(decl_57, type, nonempty: $i > $o). 0.15/0.43 thf(decl_58, type, nonemptyE1: $o). 0.15/0.43 thf(decl_59, type, nonemptyI: $o). 0.15/0.43 thf(decl_60, type, nonemptyI1: $o). 0.15/0.43 thf(decl_61, type, setadjoinIL: $o). 0.15/0.43 thf(decl_62, type, emptyinunitempty: $o). 0.15/0.43 thf(decl_63, type, setadjoinIR: $o). 0.15/0.43 thf(decl_64, type, setadjoinE: $o). 0.15/0.43 thf(decl_65, type, setadjoinOr: $o). 0.15/0.43 thf(decl_66, type, setoftrueEq: $o). 0.15/0.43 thf(decl_67, type, powersetI: $o). 0.15/0.43 thf(decl_68, type, emptyinPowerset: $o). 0.15/0.43 thf(decl_69, type, emptyInPowerset: $o). 0.15/0.43 thf(decl_70, type, powersetE: $o). 0.15/0.43 thf(decl_71, type, setunionI: $o). 0.15/0.43 thf(decl_72, type, setunionE: $o). 0.15/0.43 thf(decl_73, type, subPowSU: $o). 0.15/0.43 thf(decl_74, type, exuE2: $o). 0.15/0.43 thf(decl_75, type, nonemptyImpWitness: $o). 0.15/0.43 thf(decl_76, type, uniqinunit: $o). 0.15/0.43 thf(decl_77, type, notinsingleton: $o). 0.15/0.43 thf(decl_78, type, eqinunit: $o). 0.15/0.43 thf(decl_79, type, singletonsswitch: $o). 0.15/0.43 thf(decl_80, type, upairsetE: $o). 0.15/0.43 thf(decl_81, type, upairsetIL: $o). 0.15/0.43 thf(decl_82, type, upairsetIR: $o). 0.15/0.43 thf(decl_83, type, emptyE1: $o). 0.15/0.43 thf(decl_84, type, vacuousDall: $o). 0.15/0.43 thf(decl_85, type, quantDeMorgan1: $o). 0.15/0.43 thf(decl_86, type, quantDeMorgan2: $o). 0.15/0.43 thf(decl_87, type, quantDeMorgan3: $o). 0.15/0.43 thf(decl_88, type, quantDeMorgan4: $o). 0.15/0.43 thf(decl_89, type, prop2setI: $o). 0.15/0.43 thf(decl_91, type, prop2set2propI: $o). 0.15/0.43 thf(decl_92, type, notdexE: $o). 0.15/0.43 thf(decl_93, type, notdallE: $o). 0.15/0.43 thf(decl_94, type, exuI1: $o). 0.15/0.43 thf(decl_95, type, exuI3: $o). 0.15/0.43 thf(decl_96, type, exuI2: $o). 0.15/0.43 thf(decl_97, type, epred1_0: $o). 0.15/0.43 thf(decl_98, type, esk1_2: $i > $i > $i). 0.15/0.43 thf(decl_99, type, esk2_2: $i > $i > $i). 0.15/0.43 thf(decl_100, type, esk3_2: $i > $i > $i). 0.15/0.43 thf(decl_101, type, esk4_1: $i > $i). 0.15/0.43 thf(decl_102, type, esk5_2: ($i > $i > $o) > $i > $i). 0.15/0.43 thf(decl_103, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.15/0.43 thf(decl_104, type, esk7_2: ($i > $i > $o) > $i > $i). 0.15/0.43 thf(decl_105, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.15/0.43 thf(decl_106, type, esk9_1: $i > $i). 0.15/0.43 thf(decl_107, type, esk10_2: ($i > $o) > $i > $i). 0.15/0.43 thf(decl_108, type, esk11_1: ($i > $o) > $i). 0.15/0.43 thf(decl_109, type, esk12_2: ($i > $o) > $i > $i). 0.15/0.43 thf(decl_110, type, esk13_1: ($i > $o) > $i). 0.15/0.43 thf(decl_111, type, esk14_2: $i > $i > $i). 0.15/0.43 thf(decl_112, type, esk15_2: $i > $i > $i). 0.15/0.43 thf(decl_113, type, esk16_1: $i > $i). 0.15/0.43 thf(decl_114, type, esk17_1: $i > $i). 0.15/0.43 thf(decl_115, type, esk18_1: $i > $i). 0.15/0.43 thf(decl_116, type, esk19_2: $i > $i > $i). 0.15/0.43 thf(decl_117, type, esk20_3: $i > $i > $o > $i). 0.15/0.43 thf(decl_118, type, esk21_2: ($i > $o) > $i > $i). 0.15/0.43 thf(decl_119, type, esk22_1: ($i > $o) > $i). 0.15/0.43 thf(decl_120, type, esk23_1: $i > $i). 0.15/0.43 thf(decl_121, type, esk24_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_122, type, esk25_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_123, type, esk26_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_124, type, esk27_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_125, type, esk28_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_126, type, esk29_2: $i > ($i > $o) > $i). 0.15/0.43 thf(decl_127, type, esk30_2: ($i > $o) > $i > $i). 0.15/0.43 thf(decl_128, type, esk31_1: ($i > $o) > $i). 0.15/0.43 thf(decl_129, type, esk32_1: ($i > $o) > $i). 0.15/0.43 thf(decl_130, type, esk33_1: ($i > $o) > $i). 0.15/0.43 thf(decl_131, type, esk34_1: ($i > $o) > $i). 0.15/0.43 thf(decl_132, type, esk35_2: ($i > $o) > $i > $i). 0.15/0.43 thf(decl_133, type, esk36_1: ($i > $o) > $i). 0.15/0.43 thf(decl_134, type, esk37_0: $i). 0.15/0.43 thf(decl_135, type, esk38_0: $i). 0.15/0.43 thf(decl_136, type, esk39_0: $i). 0.15/0.43 thf(decl_137, type, esk40_0: $i). 0.15/0.43 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', nonempty)). 0.15/0.43 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', replAx)). 0.15/0.43 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', exu)). 0.15/0.43 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', nonemptyI)). 0.15/0.43 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', exuI3)). 0.15/0.43 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', exuI1)). 0.15/0.43 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', exuE3e)). 0.15/0.43 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', exuE2)). 0.15/0.43 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.OSNwGK29Ir/Vampire---4.8_5735', exuI2)). 0.15/0.43 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.OSNwGK29Ir/Vampire---4.8_5735', exuE1)). 0.15/0.43 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setoftrueEq)). 0.15/0.43 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', nonemptyI1)). 0.15/0.43 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setbeta)). 0.15/0.43 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', nonemptyE1)). 0.15/0.43 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.OSNwGK29Ir/Vampire---4.8_5735', emptyE1)). 0.15/0.43 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', nonemptyImpWitness)). 0.15/0.43 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', dsetconstrER)). 0.15/0.43 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', dsetconstrEL)). 0.15/0.43 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', dsetconstrI)). 0.15/0.43 thf(inCongP, conjecture, (((((powersetAx)=>(((omega0Ax)=>(((((foundationAx)=>((wellorderingAx)=>(((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>((setext)=>(((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>(((setadjoinIR)=>(((setadjoinOr)=>(((((emptyInPowerset)=>((((setunionE)=>((subPowSU)=>((exuE2)=>(((uniqinunit)=>((((singletonsswitch)=>(((upairsetIL)=>(((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>(((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>(((((((exuI2)=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5)))))))<=(exuI3))<=(exuI1))<=(notdallE))<=(notdexE))<=(prop2set2propI)))))<=(quantDeMorgan2)))))<=(upairsetIR)))<=(upairsetE)))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness)))))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE)))<=(emptyinunitempty)))<=(nonemptyI1))))))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))))))))<=(descrp))))<=(replAx))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx)))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', inCongP)). 0.15/0.43 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptysetE)). 0.15/0.43 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setextAx)). 0.15/0.43 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', powersetI)). 0.15/0.43 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', prop2setE)). 0.15/0.43 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setext)). 0.15/0.43 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setadjoinE)). 0.15/0.43 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptyinunitempty)). 0.15/0.43 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', noeltsimpempty)). 0.15/0.43 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptyI)). 0.15/0.43 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', notinemptyset)). 0.15/0.43 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptysetimpfalse)). 0.15/0.43 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', omegaIndAx)). 0.15/0.43 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', omegaSAx)). 0.15/0.43 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setunionAx)). 0.15/0.43 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setadjoinAx)). 0.15/0.43 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptysetAx)). 0.15/0.43 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setadjoinIL)). 0.15/0.43 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setadjoinIR)). 0.15/0.43 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setadjoinOr)). 0.15/0.43 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptyInPowerset)). 0.15/0.43 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.OSNwGK29Ir/Vampire---4.8_5735', setunionE)). 0.15/0.43 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', subPowSU)). 0.15/0.43 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', uniqinunit)). 0.15/0.43 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', singletonsswitch)). 0.15/0.43 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', upairsetIL)). 0.15/0.43 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', vacuousDall)). 0.15/0.43 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', quantDeMorgan1)). 0.15/0.43 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', quantDeMorgan3)). 0.15/0.43 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', quantDeMorgan4)). 0.15/0.43 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', prop2setI)). 0.15/0.43 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', notdallE)). 0.15/0.43 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', notdexE)). 0.15/0.43 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', quantDeMorgan2)). 0.15/0.43 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', upairsetIR)). 0.15/0.43 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', upairsetE)). 0.15/0.43 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', eqinunit)). 0.15/0.43 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', notinsingleton)). 0.15/0.43 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', setunionI)). 0.15/0.43 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', powersetE)). 0.15/0.43 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', emptyinPowerset)). 0.15/0.43 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.OSNwGK29Ir/Vampire---4.8_5735', wellorderingAx)). 0.15/0.43 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.OSNwGK29Ir/Vampire---4.8_5735', foundationAx)). 0.15/0.43 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', omega0Ax)). 0.15/0.43 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.OSNwGK29Ir/Vampire---4.8_5735', powersetAx)). 0.15/0.43 thf(c_0_64, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.15/0.43 thf(c_0_65, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.15/0.43 thf(c_0_66, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.15/0.43 thf(c_0_67, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.15/0.43 thf(c_0_68, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.15/0.43 thf(c_0_69, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.15/0.43 thf(c_0_70, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.15/0.43 thf(c_0_71, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.15/0.43 thf(c_0_72, 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])). 0.15/0.43 thf(c_0_73, 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])). 0.15/0.43 thf(c_0_74, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.15/0.43 thf(c_0_75, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_64])). 0.15/0.43 thf(c_0_76, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.15/0.43 thf(c_0_77, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X195:$i]:((((X6 @ X2 @ X195))&![X196:$i]:((((X6 @ X2 @ X196))=>((X195)=(X196)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_65, c_0_66])). 0.15/0.43 thf(c_0_78, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_64])). 0.15/0.43 thf(c_0_79, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_67, c_0_64])). 0.15/0.43 thf(c_0_80, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X205:$i]:((((X1 @ X205))&![X206:$i]:((((X1 @ X206))=>((X205)=(X206)))))))))))), inference(apply_def,[status(thm)],[c_0_68, c_0_66])). 0.15/0.43 thf(c_0_81, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X203:$i]:((((X1 @ X203))&![X204:$i]:((((X1 @ X204))=>((X203)=(X204))))))))))), inference(apply_def,[status(thm)],[c_0_69, c_0_66])). 0.15/0.43 thf(c_0_82, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X199:$i]:((((X1 @ X199))&![X200:$i]:((((X1 @ X200))=>((X199)=(X200)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_70, c_0_66])). 0.15/0.43 thf(c_0_83, plain, ((exuE2)=(![X1:$i > $o]:(((?[X201:$i]:((((X1 @ X201))&![X202:$i]:((((X1 @ X202))=>((X201)=(X202)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_71, c_0_66])). 0.15/0.43 thf(c_0_84, plain, ((emptyE1)<=>![X4:$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])). 0.15/0.43 thf(c_0_85, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X207:$i]:((((X1 @ X207))&![X208:$i]:((((X1 @ X208))=>((X207)=(X208))))))))))), inference(apply_def,[status(thm)],[c_0_72, c_0_66])). 0.15/0.43 thf(c_0_86, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_64])). 0.15/0.43 thf(c_0_87, plain, ((exuE1)=(![X1:$i > $o]:(((?[X197:$i]:((((X1 @ X197))&![X198:$i]:((((X1 @ X198))=>((X197)=(X198)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_73, c_0_66])). 0.15/0.43 thf(c_0_88, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.15/0.43 thf(c_0_89, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.15/0.43 thf(c_0_90, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.15/0.43 thf(c_0_91, plain, ((epred1_0)<=>![X216:$i]:(?[X217:$i]:((((![X218:$i]:(((in @ X218 @ X217)=>![X219:$i]:(((in @ X219 @ X218)=>(in @ X219 @ X216)))))&![X220:$i, X221:$i]:((((in @ X220 @ X216)&(in @ X221 @ X216))=>(![X222:$i]:(((in @ X222 @ X217)=>((in @ X220 @ X222)<=>(in @ X221 @ X222))))=>((X220)=(X221))))))&![X223:$i, X224:$i]:((((in @ X223 @ X217)&(in @ X224 @ X217))=>(![X225:$i]:(((in @ X225 @ X223)=>(in @ X225 @ X224)))|![X226:$i]:(((in @ X226 @ X224)=>(in @ X226 @ X223)))))))&![X227:$i]:(((![X228:$i]:(((in @ X228 @ X227)=>(in @ X228 @ X216)))&?[X229:$i]:((in @ X229 @ X227)))=>?[X230:$i, X231:$i]:(((((in @ X230 @ X217)&(in @ X231 @ X227))&~(?[X232:$i]:(((in @ X232 @ X230)&(in @ X232 @ X227)))))&![X233:$i]:(((in @ X233 @ X217)=>(![X234:$i]:(((in @ X234 @ X233)=>(in @ X234 @ X230)))|(in @ X231 @ X233)))))))))))), introduced(definition)). 0.15/0.43 thf(c_0_92, negated_conjecture, ~((![X394:$i, X395:$i]:((![X396:$i]:(((in @ X396 @ X394)<=>(in @ X396 @ X395)))=>((X394)=(X395))))=>(![X393:$i]:(~(in @ X393 @ emptyset))=>(![X390:$i, X391:$i, X392:$i]:(((in @ X392 @ (setadjoin @ X390 @ X391))<=>(((X392)=(X390))|(in @ X392 @ X391))))=>(![X209:$i, X210:$i]:(((in @ X210 @ (powerset @ X209))<=>![X211:$i]:(((in @ X211 @ X210)=>(in @ X211 @ X209)))))=>(![X387:$i, X388:$i]:(((in @ X388 @ (setunion @ X387))<=>?[X389:$i]:(((in @ X388 @ X389)&(in @ X389 @ X387)))))=>((in @ emptyset @ omega)=>(![X386:$i]:(((in @ X386 @ omega)=>(in @ (setadjoin @ X386 @ X386) @ omega)))=>(![X383:$i]:((((in @ emptyset @ X383)&![X384:$i]:((((in @ X384 @ omega)&(in @ X384 @ X383))=>(in @ (setadjoin @ X384 @ X384) @ X383))))=>![X385:$i]:(((in @ X385 @ omega)=>(in @ X385 @ X383)))))=>(![X375:$i > $i > $o, X376:$i]:((![X377:$i]:(((in @ X377 @ X376)=>?[X378:$i]:(((X375 @ X377 @ X378)&![X379:$i]:(((X375 @ X377 @ X379)=>((X378)=(X379))))))))=>?[X380:$i]:(![X381:$i]:(((in @ X381 @ X380)<=>?[X382:$i]:(((in @ X382 @ X376)&(X375 @ X382 @ X381))))))))=>(![X212:$i]:((?[X213:$i]:((in @ X213 @ X212))=>?[X214:$i]:(((in @ X214 @ X212)&~(?[X215:$i]:(((in @ X215 @ X214)&(in @ X215 @ X212))))))))=>((epred1_0)=>((descrp)=>(![X235:$i, X236:$i > $o, X237:$i]:(((in @ X237 @ X235)=>((X236 @ X237)=>(in @ X237 @ (dsetconstr @ X235 @ (^[Z0/* 3 */:$i]:((X236 @ Z0))))))))=>(![X238:$i, X239:$i > $o, X240:$i]:(((in @ X240 @ (dsetconstr @ X238 @ (^[Z0/* 3 */:$i]:((X239 @ Z0)))))=>(in @ X240 @ X238)))=>(![X241:$i, X242:$i > $o, X243:$i]:(((in @ X243 @ (dsetconstr @ X241 @ (^[Z0/* 3 */:$i]:((X242 @ Z0)))))=>(X242 @ X243)))=>(![X244:$i > $o]:((?[X245:$i]:(((X244 @ X245)&![X246:$i]:(((X244 @ X246)=>((X245)=(X246))))))=>?[X247:$i]:(((X244 @ X247)&![X248:$i]:(((X244 @ X248)=>((X247)=(X248))))))))=>(![X249:$o, X250:$i]:(((in @ X250 @ (prop2set @ ((X249))))=>(X249)))=>(![X251:$i]:(((in @ X251 @ emptyset)=>![X252:$o]:((X252))))=>(![X374:$i]:(~(in @ X374 @ emptyset))=>(![X373:$i]:(~(in @ X373 @ emptyset))=>(![X253:$i > $o]:((?[X254:$i]:(((X253 @ X254)&![X255:$i]:(((X253 @ X255)=>((X254)=(X255))))))=>?[X256:$i]:((X253 @ X256))))=>(![X257:$i, X258:$i]:((![X259:$i]:(((in @ X259 @ X257)=>(in @ X259 @ X258)))=>(![X260:$i]:(((in @ X260 @ X258)=>(in @ X260 @ X257)))=>((X257)=(X258)))))=>(![X371:$i]:((![X372:$i]:(~(in @ X372 @ X371))=>((X371)=(emptyset))))=>(![X261:$i]:((![X262:$i]:(~(in @ X262 @ X261))=>((X261)=(emptyset))))=>(![X263:$i, X264:$i > $o, X265:$i]:(((in @ X265 @ X263)=>((in @ X265 @ (dsetconstr @ X263 @ (^[Z0/* 3 */:$i]:((X264 @ Z0)))))<=>(X264 @ X265))))=>(![X266:$i]:((((X266)!=(emptyset))=>?[X267:$i]:((in @ X267 @ X266))))=>(![X268:$i, X269:$i > $o, X270:$i]:(((in @ X270 @ X268)=>((X269 @ X270)=>((dsetconstr @ X268 @ (^[Z0/* 3 */:$i]:((X269 @ Z0))))!=(emptyset)))))=>(![X369:$i]:((?[X370:$i]:((in @ X370 @ X369))=>((X369)!=(emptyset))))=>(![X271:$i, X272:$i]:((in @ X271 @ (setadjoin @ X271 @ X272)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X273:$i, X274:$i, X275:$i]:(((in @ X275 @ X274)=>(in @ X275 @ (setadjoin @ X273 @ X274))))=>(![X365:$i, X366:$i, X367:$i]:(((in @ X367 @ (setadjoin @ X365 @ X366))=>![X368:$o]:(((((X367)=(X365))=>(X368))=>(((in @ X367 @ X366)=>(X368))=>(X368))))))=>(![X276:$i, X277:$i, X278:$i]:(((in @ X278 @ (setadjoin @ X276 @ X277))=>(((X278)=(X276))|(in @ X278 @ X277))))=>(![X364:$i]:(((dsetconstr @ X364 @ (^[Z0/* 3 */:$i]:(($true))))=(X364)))=>(![X361:$i, X362:$i]:((![X363:$i]:(((in @ X363 @ X362)=>(in @ X363 @ X361)))=>(in @ X362 @ (powerset @ X361))))=>(![X360:$i]:((in @ emptyset @ (powerset @ X360)))=>(![X279:$i]:((in @ emptyset @ (powerset @ X279)))=>(![X357:$i, X358:$i, X359:$i]:(((in @ X358 @ (powerset @ X357))=>((in @ X359 @ X358)=>(in @ X359 @ X357))))=>(![X354:$i, X355:$i, X356:$i]:(((in @ X355 @ X356)=>((in @ X356 @ X354)=>(in @ X355 @ (setunion @ X354)))))=>(![X280:$i, X281:$i]:(((in @ X281 @ (setunion @ X280))=>![X282:$o]:((![X283:$i]:(((in @ X281 @ X283)=>((in @ X283 @ X280)=>(X282))))=>(X282)))))=>(![X284:$i, X285:$i]:(((in @ X285 @ X284)=>(in @ X285 @ (powerset @ (setunion @ X284)))))=>(![X286:$i > $o]:((?[X287:$i]:(((X286 @ X287)&![X288:$i]:(((X286 @ X288)=>((X287)=(X288))))))=>?[X289:$i]:(![X290:$i]:(((X286 @ X290)<=>((X290)=(X289)))))))=>(![X352:$i]:((((X352)!=(emptyset))=>?[X353:$i]:((in @ X353 @ X352))))=>(![X291:$i, X292:$i]:(((in @ X291 @ (setadjoin @ X292 @ emptyset))=>((X291)=(X292))))=>(![X350:$i, X351:$i]:((((X350)!=(X351))=>~(in @ X351 @ (setadjoin @ X350 @ emptyset))))=>(![X348:$i, X349:$i]:((((X348)=(X349))=>(in @ X348 @ (setadjoin @ X349 @ emptyset))))=>(![X293:$i, X294:$i]:(((in @ X293 @ (setadjoin @ X294 @ emptyset))=>(in @ X294 @ (setadjoin @ X293 @ emptyset))))=>(![X345:$i, X346:$i, X347:$i]:(((in @ X347 @ (setadjoin @ X345 @ (setadjoin @ X346 @ emptyset)))=>(((X347)=(X345))|((X347)=(X346)))))=>(![X295:$i, X296:$i]:((in @ X295 @ (setadjoin @ X295 @ (setadjoin @ X296 @ emptyset))))=>(![X343:$i, X344:$i]:((in @ X344 @ (setadjoin @ X343 @ (setadjoin @ X344 @ emptyset))))=>(![X297:$i, X298:$i > $o]:((?[X299:$i]:(((in @ X299 @ X297)&(X298 @ X299)))=>((dsetconstr @ X297 @ (^[Z0/* 3 */:$i]:((X298 @ Z0))))!=(emptyset))))=>(![X300:$i > $o, X301:$i]:(((in @ X301 @ emptyset)=>(X300 @ X301)))=>(![X302:$i, X303:$i > $o]:((~(![X304:$i]:(((in @ X304 @ X302)=>(X303 @ X304))))=>?[X305:$i]:(((in @ X305 @ X302)&~(X303 @ X305)))))=>(![X339:$i, X340:$i > $o]:((![X341:$i]:(((in @ X341 @ X339)=>~(X340 @ X341)))=>~(?[X342:$i]:(((in @ X342 @ X339)&(X340 @ X342))))))=>(![X306:$i, X307:$i > $o]:((~(?[X308:$i]:(((in @ X308 @ X306)&(X307 @ X308))))=>![X309:$i]:(((in @ X309 @ X306)=>~(X307 @ X309)))))=>(![X310:$i, X311:$i > $o]:((?[X312:$i]:(((in @ X312 @ X310)&~(X311 @ X312)))=>~(![X313:$i]:(((in @ X313 @ X310)=>(X311 @ X313))))))=>(![X314:$o]:(((X314)=>(in @ emptyset @ (prop2set @ ((X314))))))=>((prop2set2propI)=>(![X335:$i, X336:$i > $o]:((~(?[X337:$i]:(((in @ X337 @ X335)&(X336 @ X337))))=>![X338:$i]:(((in @ X338 @ X335)=>~(X336 @ X338)))))=>(![X331:$i, X332:$i > $o]:((~(![X333:$i]:(((in @ X333 @ X331)=>(X332 @ X333))))=>?[X334:$i]:(((in @ X334 @ X331)&~(X332 @ X334)))))=>(![X326:$i > $o]:((?[X327:$i]:(((X326 @ X327)&![X328:$i]:(((X326 @ X328)=>((X327)=(X328))))))=>?[X329:$i]:(((X326 @ X329)&![X330:$i]:(((X326 @ X330)=>((X329)=(X330))))))))=>(![X320:$i > $o]:((?[X321:$i]:((X320 @ X321))=>(![X322:$i, X323:$i]:(((X320 @ X322)=>((X320 @ X323)=>((X322)=(X323)))))=>?[X324:$i]:(((X320 @ X324)&![X325:$i]:(((X320 @ X325)=>((X324)=(X325)))))))))=>(![X315:$i > $o]:((?[X316:$i]:(![X317:$i]:(((X315 @ X317)<=>((X317)=(X316)))))=>?[X318:$i]:(((X315 @ X318)&![X319:$i]:(((X315 @ X319)=>((X318)=(X319))))))))=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[inCongP]), emptysetE]), setextAx]), powersetI]), prop2setE]), c_0_74]), setext]), setadjoinE]), emptyinunitempty]), c_0_75]), noeltsimpempty]), emptyI]), notinemptyset]), c_0_76]), emptysetimpfalse]), c_0_77]), omegaIndAx]), c_0_78]), omegaSAx]), setunionAx]), c_0_79]), setadjoinAx]), emptysetAx]), setadjoinIL]), setadjoinIR]), c_0_80]), c_0_81]), c_0_82]), setadjoinOr]), emptyInPowerset]), setunionE]), subPowSU]), c_0_83]), uniqinunit]), singletonsswitch]), upairsetIL]), c_0_84]), vacuousDall]), quantDeMorgan1]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), c_0_85]), notdallE]), notdexE]), quantDeMorgan2]), upairsetIR]), upairsetE]), eqinunit]), notinsingleton]), c_0_86]), setunionI]), powersetE]), emptyinPowerset]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), wellorderingAx]), foundationAx]), omega0Ax]), powersetAx])]), c_0_91])). 0.15/0.43 thf(c_0_93, negated_conjecture, ![X397:$i, X398:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X408:$i, X410:$i, X411:$i, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X419:$i, X420:$i > $i > $o, X421:$i, X423:$i, X426:$i, X428:$i, X429:$i, X430:$i, X431:$i, X433:$i, X434:$i, X435:$i > $o, X436:$i, X437:$i, X438:$i > $o, X439:$i, X440:$i, X441:$i > $o, X442:$i, X443:$i > $o, X444:$i, X447:$i, X448:$o, X449:$i, X450:$i, X451:$o, X452:$i, X453:$i, X454:$i > $o, X455:$i, X458:$i, X459:$i, X462:$i, X464:$i, X466:$i, X467:$i > $o, X468:$i, X469:$i, X471:$i, X472:$i > $o, X473:$i, X474:$i, X475:$i, X476:$i, X477:$i, X478:$i, X479:$i, X480:$i, X481:$i, X482:$i, X483:$i, X484:$o, X485:$i, X486:$i, X487:$i, X488:$i, X489:$i, X490:$i, X492:$i, X493:$i, X494:$i, X495:$i, X496:$i, X497:$i, X498:$i, X499:$i, X500:$i, X501:$i, X502:$o, X504:$i, X505:$i, X506:$i > $o, X507:$i, X510:$i, X511:$i, X512:$i, X514:$i, X515:$i, X516:$i, X517:$i, X518:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$i, X524:$i, X525:$i, X526:$i, X527:$i, X528:$i, X529:$i, X530:$i > $o, X531:$i, X532:$i > $o, X533:$i, X534:$i, X535:$i > $o, X536:$i, X538:$i, X539:$i > $o, X541:$i, X542:$i, X543:$i > $o, X545:$i, X546:$i, X547:$i > $o, X548:$i, X550:$o, X551:$i, X552:$i > $o, X554:$i, X555:$i, X556:$i > $o, X557:$i, X559:$i > $o, X560:$i, X563:$i, X564:$i > $o, X565:$i, X569:$i, X570:$i > $o, X571:$i, X574:$i]:((((~(in @ (esk1_2 @ X397 @ X398) @ X397)|~(in @ (esk1_2 @ X397 @ X398) @ X398)|((X397)=(X398)))&((in @ (esk1_2 @ X397 @ X398) @ X397)|(in @ (esk1_2 @ X397 @ X398) @ X398)|((X397)=(X398))))&(~(in @ X400 @ emptyset)&(((~(in @ X403 @ (setadjoin @ X401 @ X402))|(((X403)=(X401))|(in @ X403 @ X402)))&((((X403)!=(X401))|(in @ X403 @ (setadjoin @ X401 @ X402)))&(~(in @ X403 @ X402)|(in @ X403 @ (setadjoin @ X401 @ X402)))))&(((~(in @ X405 @ (powerset @ X404))|(~(in @ X406 @ X405)|(in @ X406 @ X404)))&(((in @ (esk2_2 @ X407 @ X408) @ X408)|(in @ X408 @ (powerset @ X407)))&(~(in @ (esk2_2 @ X407 @ X408) @ X407)|(in @ X408 @ (powerset @ X407)))))&(((((in @ X411 @ (esk3_2 @ X410 @ X411))|~(in @ X411 @ (setunion @ X410)))&((in @ (esk3_2 @ X410 @ X411) @ X410)|~(in @ X411 @ (setunion @ X410))))&(~(in @ X414 @ X415)|~(in @ X415 @ X413)|(in @ X414 @ (setunion @ X413))))&((in @ emptyset @ omega)&((~(in @ X416 @ omega)|(in @ (setadjoin @ X416 @ X416) @ omega))&(((((in @ (esk4_1 @ X417) @ omega)|~(in @ emptyset @ X417)|(~(in @ X419 @ omega)|(in @ X419 @ X417)))&((in @ (esk4_1 @ X417) @ X417)|~(in @ emptyset @ X417)|(~(in @ X419 @ omega)|(in @ X419 @ X417))))&(~(in @ (setadjoin @ (esk4_1 @ X417) @ (esk4_1 @ X417)) @ X417)|~(in @ emptyset @ X417)|(~(in @ X419 @ omega)|(in @ X419 @ X417))))&((((((in @ (esk8_3 @ X420 @ X421 @ X426) @ X421)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|(in @ (esk5_2 @ X420 @ X421) @ X421))&((X420 @ (esk8_3 @ X420 @ X421 @ X426) @ X426)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|(in @ (esk5_2 @ X420 @ X421) @ X421)))&(~(in @ X429 @ X421)|~(X420 @ X429 @ X428)|(in @ X428 @ (esk7_2 @ X420 @ X421))|(in @ (esk5_2 @ X420 @ X421) @ X421)))&(((((in @ (esk8_3 @ X420 @ X421 @ X426) @ X421)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|((X420 @ (esk5_2 @ X420 @ X421) @ (esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423)))&((X420 @ (esk8_3 @ X420 @ X421 @ X426) @ X426)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|((X420 @ (esk5_2 @ X420 @ X421) @ (esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423))))&(~(in @ X429 @ X421)|~(X420 @ X429 @ X428)|(in @ X428 @ (esk7_2 @ X420 @ X421))|((X420 @ (esk5_2 @ X420 @ X421) @ (esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423))))&((((in @ (esk8_3 @ X420 @ X421 @ X426) @ X421)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|(((X423)!=(esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423)))&((X420 @ (esk8_3 @ X420 @ X421 @ X426) @ X426)|~(in @ X426 @ (esk7_2 @ X420 @ X421))|(((X423)!=(esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423))))&(~(in @ X429 @ X421)|~(X420 @ X429 @ X428)|(in @ X428 @ (esk7_2 @ X420 @ X421))|(((X423)!=(esk6_3 @ X420 @ X421 @ X423))|~(X420 @ (esk5_2 @ X420 @ X421) @ X423))))))&((((in @ (esk9_1 @ X430) @ X430)|~(in @ X431 @ X430))&(~(in @ X433 @ (esk9_1 @ X430))|~(in @ X433 @ X430)|~(in @ X431 @ X430)))&((epred1_0)&((descrp)&((~(in @ X436 @ X434)|(~(X435 @ X436)|(in @ X436 @ (dsetconstr @ X434 @ (^[Z0/* 3 */:$i]:((X435 @ Z0)))))))&((~(in @ X439 @ (dsetconstr @ X437 @ (^[Z0/* 3 */:$i]:((X438 @ Z0)))))|(in @ X439 @ X437))&((~(in @ X442 @ (dsetconstr @ X440 @ (^[Z0/* 3 */:$i]:((X441 @ Z0)))))|(X441 @ X442))&(((((X443 @ (esk11_1 @ X443))|((X443 @ (esk10_2 @ X443 @ X444))|~(X443 @ X444)))&(~(X443 @ X447)|((esk11_1 @ X443)=(X447))|((X443 @ (esk10_2 @ X443 @ X444))|~(X443 @ X444))))&(((X443 @ (esk11_1 @ X443))|(((X444)!=(esk10_2 @ X443 @ X444))|~(X443 @ X444)))&(~(X443 @ X447)|((esk11_1 @ X443)=(X447))|(((X444)!=(esk10_2 @ X443 @ X444))|~(X443 @ X444)))))&((~(in @ X449 @ (prop2set @ ((X448))))|(X448))&((~(in @ X450 @ emptyset)|(X451))&(~(in @ X452 @ emptyset)&(~(in @ X453 @ emptyset)&((((X454 @ (esk12_2 @ X454 @ X455))|~(X454 @ X455)|(X454 @ (esk13_1 @ X454)))&(((X455)!=(esk12_2 @ X454 @ X455))|~(X454 @ X455)|(X454 @ (esk13_1 @ X454))))&(((((in @ (esk15_2 @ X458 @ X459) @ X459)|((X458)=(X459))|(in @ (esk14_2 @ X458 @ X459) @ X458))&(~(in @ (esk15_2 @ X458 @ X459) @ X458)|((X458)=(X459))|(in @ (esk14_2 @ X458 @ X459) @ X458)))&(((in @ (esk15_2 @ X458 @ X459) @ X459)|((X458)=(X459))|~(in @ (esk14_2 @ X458 @ X459) @ X459))&(~(in @ (esk15_2 @ X458 @ X459) @ X458)|((X458)=(X459))|~(in @ (esk14_2 @ X458 @ X459) @ X459))))&(((in @ (esk16_1 @ X462) @ X462)|((X462)=(emptyset)))&(((in @ (esk17_1 @ X464) @ X464)|((X464)=(emptyset)))&(((~(in @ X468 @ (dsetconstr @ X466 @ (^[Z0/* 3 */:$i]:((X467 @ Z0)))))|(X467 @ X468)|~(in @ X468 @ X466))&(~(X467 @ X468)|(in @ X468 @ (dsetconstr @ X466 @ (^[Z0/* 3 */:$i]:((X467 @ Z0)))))|~(in @ X468 @ X466)))&((((X469)=(emptyset))|(in @ (esk18_1 @ X469) @ X469))&((~(in @ X473 @ X471)|(~(X472 @ X473)|((dsetconstr @ X471 @ (^[Z0/* 3 */:$i]:((X472 @ Z0))))!=(emptyset))))&((~(in @ X475 @ X474)|((X474)!=(emptyset)))&((in @ X476 @ (setadjoin @ X476 @ X477))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X480 @ X479)|(in @ X480 @ (setadjoin @ X478 @ X479)))&(((((in @ X483 @ X482)|(X484)|((X483)=(X481))|~(in @ X483 @ (setadjoin @ X481 @ X482)))&(~(X484)|(X484)|((X483)=(X481))|~(in @ X483 @ (setadjoin @ X481 @ X482))))&(((in @ X483 @ X482)|(X484)|~(X484)|~(in @ X483 @ (setadjoin @ X481 @ X482)))&(~(X484)|(X484)|~(X484)|~(in @ X483 @ (setadjoin @ X481 @ X482)))))&((~(in @ X487 @ (setadjoin @ X485 @ X486))|(((X487)=(X485))|(in @ X487 @ X486)))&(((dsetconstr @ X488 @ (^[Z0/* 3 */:$i]:(($true))))=(X488))&((((in @ (esk19_2 @ X489 @ X490) @ X490)|(in @ X490 @ (powerset @ X489)))&(~(in @ (esk19_2 @ X489 @ X490) @ X489)|(in @ X490 @ (powerset @ X489))))&((in @ emptyset @ (powerset @ X492))&((in @ emptyset @ (powerset @ X493))&((~(in @ X495 @ (powerset @ X494))|(~(in @ X496 @ X495)|(in @ X496 @ X494)))&((~(in @ X498 @ X499)|(~(in @ X499 @ X497)|(in @ X498 @ (setunion @ X497))))&((((in @ X501 @ (esk20_3 @ X500 @ X501 @ X502))|(X502)|~(in @ X501 @ (setunion @ X500)))&(((in @ (esk20_3 @ X500 @ X501 @ X502) @ X500)|(X502)|~(in @ X501 @ (setunion @ X500)))&(~(X502)|(X502)|~(in @ X501 @ (setunion @ X500)))))&((~(in @ X505 @ X504)|(in @ X505 @ (powerset @ (setunion @ X504))))&((((~(X506 @ X510)|((X510)=(esk22_1 @ X506))|((X506 @ (esk21_2 @ X506 @ X507))|~(X506 @ X507)))&(((X511)!=(esk22_1 @ X506))|(X506 @ X511)|((X506 @ (esk21_2 @ X506 @ X507))|~(X506 @ X507))))&((~(X506 @ X510)|((X510)=(esk22_1 @ X506))|(((X507)!=(esk21_2 @ X506 @ X507))|~(X506 @ X507)))&(((X511)!=(esk22_1 @ X506))|(X506 @ X511)|(((X507)!=(esk21_2 @ X506 @ X507))|~(X506 @ X507)))))&((((X512)=(emptyset))|(in @ (esk23_1 @ X512) @ X512))&((~(in @ X514 @ (setadjoin @ X515 @ emptyset))|((X514)=(X515)))&((((X516)=(X517))|~(in @ X517 @ (setadjoin @ X516 @ emptyset)))&((((X518)!=(X519))|(in @ X518 @ (setadjoin @ X519 @ emptyset)))&((~(in @ X520 @ (setadjoin @ X521 @ emptyset))|(in @ X521 @ (setadjoin @ X520 @ emptyset)))&((~(in @ X524 @ (setadjoin @ X522 @ (setadjoin @ X523 @ emptyset)))|(((X524)=(X522))|((X524)=(X523))))&((in @ X525 @ (setadjoin @ X525 @ (setadjoin @ X526 @ emptyset)))&((in @ X528 @ (setadjoin @ X527 @ (setadjoin @ X528 @ emptyset)))&((~(in @ X531 @ X529)|~(X530 @ X531)|((dsetconstr @ X529 @ (^[Z0/* 3 */:$i]:((X530 @ Z0))))!=(emptyset)))&((~(in @ X533 @ emptyset)|(X532 @ X533))&((((in @ (esk24_2 @ X534 @ X535) @ X534)|(~(in @ X536 @ X534)|(X535 @ X536)))&(~(X535 @ (esk24_2 @ X534 @ X535))|(~(in @ X536 @ X534)|(X535 @ X536))))&((((in @ (esk25_2 @ X538 @ X539) @ X538)|(~(in @ X541 @ X538)|~(X539 @ X541)))&((X539 @ (esk25_2 @ X538 @ X539))|(~(in @ X541 @ X538)|~(X539 @ X541))))&((((in @ (esk26_2 @ X542 @ X543) @ X542)|(~(in @ X545 @ X542)|~(X543 @ X545)))&((X543 @ (esk26_2 @ X542 @ X543))|(~(in @ X545 @ X542)|~(X543 @ X545))))&((((in @ (esk27_2 @ X546 @ X547) @ X546)|(~(in @ X548 @ X546)|(X547 @ X548)))&(~(X547 @ (esk27_2 @ X546 @ X547))|(~(in @ X548 @ X546)|(X547 @ X548))))&((~(X550)|(in @ emptyset @ (prop2set @ ((X550)))))&((prop2set2propI)&((((in @ (esk28_2 @ X551 @ X552) @ X551)|(~(in @ X554 @ X551)|~(X552 @ X554)))&((X552 @ (esk28_2 @ X551 @ X552))|(~(in @ X554 @ X551)|~(X552 @ X554))))&((((in @ (esk29_2 @ X555 @ X556) @ X555)|(~(in @ X557 @ X555)|(X556 @ X557)))&(~(X556 @ (esk29_2 @ X555 @ X556))|(~(in @ X557 @ X555)|(X556 @ X557))))&(((((X559 @ (esk31_1 @ X559))|((X559 @ (esk30_2 @ X559 @ X560))|~(X559 @ X560)))&(~(X559 @ X563)|((esk31_1 @ X559)=(X563))|((X559 @ (esk30_2 @ X559 @ X560))|~(X559 @ X560))))&(((X559 @ (esk31_1 @ X559))|(((X560)!=(esk30_2 @ X559 @ X560))|~(X559 @ X560)))&(~(X559 @ X563)|((esk31_1 @ X559)=(X563))|(((X560)!=(esk30_2 @ X559 @ X560))|~(X559 @ X560)))))&(((((X564 @ (esk34_1 @ X564))|(X564 @ (esk32_1 @ X564))|~(X564 @ X565))&(~(X564 @ X569)|((esk34_1 @ X564)=(X569))|(X564 @ (esk32_1 @ X564))|~(X564 @ X565)))&((((X564 @ (esk34_1 @ X564))|(X564 @ (esk33_1 @ X564))|~(X564 @ X565))&(~(X564 @ X569)|((esk34_1 @ X564)=(X569))|(X564 @ (esk33_1 @ X564))|~(X564 @ X565)))&(((X564 @ (esk34_1 @ X564))|((esk32_1 @ X564)!=(esk33_1 @ X564))|~(X564 @ X565))&(~(X564 @ X569)|((esk34_1 @ X564)=(X569))|((esk32_1 @ X564)!=(esk33_1 @ X564))|~(X564 @ X565)))))&(((((X570 @ (esk36_1 @ X570))|(~(X570 @ (esk35_2 @ X570 @ X571))|((esk35_2 @ X570 @ X571)!=(X571))))&(~(X570 @ X574)|((esk36_1 @ X570)=(X574))|(~(X570 @ (esk35_2 @ X570 @ X571))|((esk35_2 @ X570 @ X571)!=(X571)))))&(((X570 @ (esk36_1 @ X570))|((X570 @ (esk35_2 @ X570 @ X571))|((esk35_2 @ X570 @ X571)=(X571))))&(~(X570 @ X574)|((esk36_1 @ X570)=(X574))|((X570 @ (esk35_2 @ X570 @ X571))|((esk35_2 @ X570 @ X571)=(X571))))))&(((esk37_0)=(esk38_0))&(((esk39_0)=(esk40_0))&((in @ esk39_0 @ esk37_0)&~(in @ esk40_0 @ esk38_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_92])])])])])])). 0.15/0.43 thf(c_0_94, negated_conjecture, ~((in @ esk40_0 @ esk38_0)), inference(split_conjunct,[status(thm)],[c_0_93])). 0.15/0.43 thf(c_0_95, negated_conjecture, ((esk37_0)=(esk38_0)), inference(split_conjunct,[status(thm)],[c_0_93])). 0.15/0.43 thf(c_0_96, negated_conjecture, (in @ esk39_0 @ esk37_0), inference(split_conjunct,[status(thm)],[c_0_93])). 0.15/0.43 thf(c_0_97, negated_conjecture, ((esk39_0)=(esk40_0)), inference(split_conjunct,[status(thm)],[c_0_93])). 0.15/0.43 thf(c_0_98, negated_conjecture, ~((in @ esk40_0 @ esk37_0)), inference(rw,[status(thm)],[c_0_94, c_0_95])). 0.15/0.43 thf(c_0_99, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97]), c_0_98]), ['proof']). 0.15/0.43 # SZS output end CNFRefutation 0.15/0.43 # Parsed axioms : 141 0.15/0.43 # Removed by relevancy pruning/SinE : 77 0.15/0.43 # Initial clauses : 132 0.15/0.43 # Removed in clause preprocessing : 4 0.15/0.43 # Initial clauses in saturation : 128 0.15/0.43 # Processed clauses : 8 0.15/0.43 # ...of these trivial : 0 0.15/0.43 # ...subsumed : 0 0.15/0.43 # ...remaining for further processing : 7 0.15/0.43 # Other redundant clauses eliminated : 0 0.15/0.43 # Clauses deleted for lack of memory : 0 0.15/0.43 # Backward-subsumed : 0 0.15/0.43 # Backward-rewritten : 0 0.15/0.43 # Generated clauses : 0 0.15/0.43 # ...of the previous two non-redundant : 0 0.15/0.43 # ...aggressively subsumed : 0 0.15/0.43 # Contextual simplify-reflections : 0 0.15/0.43 # Paramodulations : 0 0.15/0.43 # Factorizations : 0 0.15/0.43 # NegExts : 0 0.15/0.43 # Equation resolutions : 0 0.15/0.43 # Total rewrite steps : 2 0.15/0.43 # Propositional unsat checks : 0 0.15/0.43 # Propositional check models : 0 0.15/0.43 # Propositional check unsatisfiable : 0 0.15/0.43 # Propositional clauses : 0 0.15/0.43 # Propositional clauses after purity: 0 0.15/0.43 # Propositional unsat core size : 0 0.15/0.43 # Propositional preprocessing time : 0.000 0.15/0.43 # Propositional encoding time : 0.000 0.15/0.43 # Propositional solver time : 0.000 0.15/0.43 # Success case prop preproc time : 0.000 0.15/0.43 # Success case prop encoding time : 0.000 0.15/0.43 # Success case prop solver time : 0.000 0.15/0.43 # Current number of processed clauses : 7 0.15/0.43 # Positive orientable unit clauses : 6 0.15/0.43 # Positive unorientable unit clauses: 0 0.15/0.43 # Negative unit clauses : 1 0.15/0.43 # Non-unit-clauses : 0 0.15/0.43 # Current number of unprocessed clauses: 120 0.15/0.43 # ...number of literals in the above : 362 0.15/0.43 # Current number of archived formulas : 0 0.15/0.43 # Current number of archived clauses : 0 0.15/0.43 # Clause-clause subsumption calls (NU) : 0 0.15/0.43 # Rec. Clause-clause subsumption calls : 0 0.15/0.43 # Non-unit clause-clause subsumptions : 0 0.15/0.43 # Unit Clause-clause subsumption calls : 0 0.15/0.43 # Rewrite failures with RHS unbound : 0 0.15/0.43 # BW rewrite match attempts : 0 0.15/0.43 # BW rewrite match successes : 0 0.15/0.43 # Condensation attempts : 8 0.15/0.43 # Condensation successes : 0 0.15/0.43 # Termbank termtop insertions : 14353 0.15/0.43 0.15/0.43 # ------------------------------------------------- 0.15/0.43 # User time : 0.014 s 0.15/0.43 # System time : 0.005 s 0.15/0.43 # Total time : 0.019 s 0.15/0.43 # Maximum resident set size: 3712 pages 0.15/0.43 0.15/0.43 # ------------------------------------------------- 0.15/0.43 # User time : 0.018 s 0.15/0.43 # System time : 0.007 s 0.15/0.43 # Total time : 0.024 s 0.15/0.43 # Maximum resident set size: 1920 pages 0.15/0.43 % E---3.1 exiting 0.15/0.44 EOF