0.04/0.10 % Problem : Vampire---4.8_30583 : TPTP v0.0.0. Released v0.0.0. 0.04/0.11 % Command : run_E %s %d THM 0.10/0.30 % Computer : n013.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 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Mon Jul 3 12:53:02 EDT 2023 0.10/0.31 % CPUTime : 0.16/0.41 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.RWttSjfuAF/Vampire---4.8_30583 0.16/0.41 # Version: 3.1pre001-ho 0.16/0.45 # Preprocessing class: HSMSSLSSMLLCHSA. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.45 # Starting new_ho_10 with 900s (5) cores 0.16/0.45 # Starting sh5l with 180s (1) cores 0.16/0.45 # Starting new_bool_1 with 180s (1) cores 0.16/0.45 # Starting new_bool_2 with 180s (1) cores 0.16/0.45 # new_bool_1 with pid 30767 completed with status 0 0.16/0.45 # Result found by new_bool_1 0.16/0.45 # Preprocessing class: HSMSSLSSMLLCHSA. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.45 # Starting new_ho_10 with 900s (5) cores 0.16/0.45 # Starting sh5l with 180s (1) cores 0.16/0.45 # Starting new_bool_1 with 180s (1) cores 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.16/0.45 # Search class: HGHSM-FFMM31-SHSSMSBN 0.16/0.45 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.16/0.45 # Starting new_ho_10 with 109s (1) cores 0.16/0.45 # new_ho_10 with pid 30769 completed with status 0 0.16/0.45 # Result found by new_ho_10 0.16/0.45 # Preprocessing class: HSMSSLSSMLLCHSA. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.45 # Starting new_ho_10 with 900s (5) cores 0.16/0.45 # Starting sh5l with 180s (1) cores 0.16/0.45 # Starting new_bool_1 with 180s (1) cores 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.16/0.45 # Search class: HGHSM-FFMM31-SHSSMSBN 0.16/0.45 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.16/0.45 # Starting new_ho_10 with 109s (1) cores 0.16/0.45 # Preprocessing time : 0.004 s 0.16/0.45 # Presaturation interreduction done 0.16/0.45 0.16/0.45 # Proof found! 0.16/0.45 # SZS status Theorem 0.16/0.45 # SZS output start CNFRefutation 0.16/0.45 thf(decl_22, type, in: $i > $i > $o). 0.16/0.45 thf(decl_23, type, exu: ($i > $o) > $o). 0.16/0.45 thf(decl_24, type, setextAx: $o). 0.16/0.45 thf(decl_25, type, emptyset: $i). 0.16/0.45 thf(decl_26, type, emptysetAx: $o). 0.16/0.45 thf(decl_27, type, setadjoin: $i > $i > $i). 0.16/0.45 thf(decl_28, type, setadjoinAx: $o). 0.16/0.45 thf(decl_29, type, powerset: $i > $i). 0.16/0.45 thf(decl_30, type, powersetAx: $o). 0.16/0.45 thf(decl_31, type, setunion: $i > $i). 0.16/0.45 thf(decl_32, type, setunionAx: $o). 0.16/0.45 thf(decl_33, type, omega: $i). 0.16/0.45 thf(decl_34, type, omega0Ax: $o). 0.16/0.45 thf(decl_35, type, omegaSAx: $o). 0.16/0.45 thf(decl_36, type, omegaIndAx: $o). 0.16/0.45 thf(decl_37, type, replAx: $o). 0.16/0.45 thf(decl_38, type, foundationAx: $o). 0.16/0.45 thf(decl_39, type, wellorderingAx: $o). 0.16/0.45 thf(decl_41, type, descrp: $o). 0.16/0.45 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_43, type, dsetconstrI: $o). 0.16/0.45 thf(decl_44, type, dsetconstrEL: $o). 0.16/0.45 thf(decl_45, type, dsetconstrER: $o). 0.16/0.45 thf(decl_46, type, exuE1: $o). 0.16/0.45 thf(decl_47, type, prop2set: $o > $i). 0.16/0.45 thf(decl_48, type, prop2setE: $o). 0.16/0.45 thf(decl_49, type, emptysetE: $o). 0.16/0.45 thf(decl_50, type, emptysetimpfalse: $o). 0.16/0.45 thf(decl_51, type, notinemptyset: $o). 0.16/0.45 thf(decl_52, type, exuE3e: $o). 0.16/0.45 thf(decl_53, type, setext: $o). 0.16/0.45 thf(decl_54, type, emptyI: $o). 0.16/0.45 thf(decl_55, type, noeltsimpempty: $o). 0.16/0.45 thf(decl_56, type, setbeta: $o). 0.16/0.45 thf(decl_57, type, nonempty: $i > $o). 0.16/0.45 thf(decl_58, type, nonemptyE1: $o). 0.16/0.45 thf(decl_59, type, nonemptyI: $o). 0.16/0.45 thf(decl_60, type, nonemptyI1: $o). 0.16/0.45 thf(decl_61, type, setadjoinIL: $o). 0.16/0.45 thf(decl_62, type, emptyinunitempty: $o). 0.16/0.45 thf(decl_63, type, setadjoinIR: $o). 0.16/0.45 thf(decl_64, type, setadjoinE: $o). 0.16/0.45 thf(decl_65, type, setadjoinOr: $o). 0.16/0.45 thf(decl_66, type, setoftrueEq: $o). 0.16/0.45 thf(decl_67, type, powersetI: $o). 0.16/0.45 thf(decl_68, type, emptyinPowerset: $o). 0.16/0.45 thf(decl_69, type, emptyInPowerset: $o). 0.16/0.45 thf(decl_70, type, powersetE: $o). 0.16/0.45 thf(decl_71, type, setunionI: $o). 0.16/0.45 thf(decl_72, type, setunionE: $o). 0.16/0.45 thf(decl_73, type, subPowSU: $o). 0.16/0.45 thf(decl_74, type, exuE2: $o). 0.16/0.45 thf(decl_75, type, nonemptyImpWitness: $o). 0.16/0.45 thf(decl_76, type, uniqinunit: $o). 0.16/0.45 thf(decl_77, type, notinsingleton: $o). 0.16/0.45 thf(decl_78, type, eqinunit: $o). 0.16/0.45 thf(decl_79, type, singletonsswitch: $o). 0.16/0.45 thf(decl_80, type, upairsetE: $o). 0.16/0.45 thf(decl_81, type, upairsetIL: $o). 0.16/0.45 thf(decl_82, type, upairsetIR: $o). 0.16/0.45 thf(decl_83, type, emptyE1: $o). 0.16/0.45 thf(decl_84, type, vacuousDall: $o). 0.16/0.45 thf(decl_85, type, quantDeMorgan1: $o). 0.16/0.45 thf(decl_86, type, quantDeMorgan2: $o). 0.16/0.45 thf(decl_87, type, quantDeMorgan3: $o). 0.16/0.45 thf(decl_88, type, quantDeMorgan4: $o). 0.16/0.45 thf(decl_89, type, prop2setI: $o). 0.16/0.45 thf(decl_91, type, prop2set2propI: $o). 0.16/0.45 thf(decl_92, type, notdexE: $o). 0.16/0.45 thf(decl_93, type, notdallE: $o). 0.16/0.45 thf(decl_94, type, exuI1: $o). 0.16/0.45 thf(decl_95, type, epred1_0: $o). 0.16/0.45 thf(decl_96, type, esk1_2: $i > $i > $i). 0.16/0.45 thf(decl_97, type, esk2_2: $i > $i > $i). 0.16/0.45 thf(decl_98, type, esk3_2: $i > $i > $i). 0.16/0.45 thf(decl_99, type, esk4_1: $i > $i). 0.16/0.45 thf(decl_100, type, esk5_2: ($i > $i > $o) > $i > $i). 0.16/0.45 thf(decl_101, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.16/0.45 thf(decl_102, type, esk7_2: ($i > $i > $o) > $i > $i). 0.16/0.45 thf(decl_103, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.16/0.45 thf(decl_104, type, esk9_1: $i > $i). 0.16/0.45 thf(decl_105, type, esk10_2: ($i > $o) > $i > $i). 0.16/0.45 thf(decl_106, type, esk11_1: ($i > $o) > $i). 0.16/0.45 thf(decl_107, type, esk12_2: ($i > $o) > $i > $i). 0.16/0.45 thf(decl_108, type, esk13_1: ($i > $o) > $i). 0.16/0.45 thf(decl_109, type, esk14_2: $i > $i > $i). 0.16/0.45 thf(decl_110, type, esk15_2: $i > $i > $i). 0.16/0.45 thf(decl_111, type, esk16_1: $i > $i). 0.16/0.45 thf(decl_112, type, esk17_1: $i > $i). 0.16/0.45 thf(decl_113, type, esk18_1: $i > $i). 0.16/0.45 thf(decl_114, type, esk19_2: $i > $i > $i). 0.16/0.45 thf(decl_115, type, esk20_3: $i > $i > $o > $i). 0.16/0.45 thf(decl_116, type, esk21_2: ($i > $o) > $i > $i). 0.16/0.45 thf(decl_117, type, esk22_1: ($i > $o) > $i). 0.16/0.45 thf(decl_118, type, esk23_1: $i > $i). 0.16/0.45 thf(decl_119, type, esk24_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_120, type, esk25_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_121, type, esk26_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_122, type, esk27_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_123, type, esk28_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_124, type, esk29_2: $i > ($i > $o) > $i). 0.16/0.45 thf(decl_125, type, esk30_2: ($i > $o) > $i > $i). 0.16/0.45 thf(decl_126, type, esk31_1: ($i > $o) > $i). 0.16/0.45 thf(decl_127, type, epred2_0: $i > $o). 0.16/0.45 thf(decl_128, type, esk32_0: $i). 0.16/0.45 thf(decl_129, type, esk33_1: $i > $i). 0.16/0.45 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', exuE3e)). 0.16/0.45 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', exu)). 0.16/0.45 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', nonemptyI)). 0.16/0.45 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', nonempty)). 0.16/0.45 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.RWttSjfuAF/Vampire---4.8_30583', exuI1)). 0.16/0.45 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.RWttSjfuAF/Vampire---4.8_30583', exuE2)). 0.16/0.45 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.RWttSjfuAF/Vampire---4.8_30583', exuE1)). 0.16/0.45 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', replAx)). 0.16/0.45 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setoftrueEq)). 0.16/0.45 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setbeta)). 0.16/0.45 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', nonemptyE1)). 0.16/0.45 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', nonemptyI1)). 0.16/0.45 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', dsetconstrER)). 0.16/0.45 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', dsetconstrEL)). 0.16/0.45 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', dsetconstrI)). 0.16/0.45 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.RWttSjfuAF/Vampire---4.8_30583', emptyE1)). 0.16/0.45 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', nonemptyImpWitness)). 0.16/0.45 thf(exuI3, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>(((setunionAx)=>((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>((((((exuE1)=>((((((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((((emptyinPowerset)=>(((powersetE)=>(((setunionE)=>((((nonemptyImpWitness)=>(((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((((((((quantDeMorgan2)=>((((((((exuI1)=>![X1:$i > $o]:((((exu @ (^[X2:$i]:((X1 @ X2))))<=![X2:$i, X3:$i]:((((X1 @ X3)=>((X2)=(X3)))<=(X1 @ X2))))<=?[X2:$i]:((X1 @ X2)))))<=(notdallE))<=(notdexE))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))))<=(uniqinunit)))<=(exuE2))<=(subPowSU)))<=(setunionI)))<=(emptyInPowerset)))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))))))<=(nonemptyI)))<=(setbeta))))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE))<=(prop2setE)))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp)))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', exuI3)). 0.16/0.45 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptyinPowerset)). 0.16/0.45 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', powersetAx)). 0.16/0.45 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setadjoinE)). 0.16/0.45 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', noeltsimpempty)). 0.16/0.45 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', notinemptyset)). 0.16/0.45 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptysetimpfalse)). 0.16/0.45 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptysetE)). 0.16/0.45 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', prop2setE)). 0.16/0.45 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setadjoinIL)). 0.16/0.45 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.RWttSjfuAF/Vampire---4.8_30583', foundationAx)). 0.16/0.45 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptyinunitempty)). 0.16/0.45 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', omegaSAx)). 0.16/0.45 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', omega0Ax)). 0.16/0.45 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setext)). 0.16/0.45 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setadjoinIR)). 0.16/0.45 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setadjoinOr)). 0.16/0.45 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', vacuousDall)). 0.16/0.45 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptyI)). 0.16/0.45 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', powersetE)). 0.16/0.45 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setunionE)). 0.16/0.45 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', notinsingleton)). 0.16/0.45 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', eqinunit)). 0.16/0.45 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', singletonsswitch)). 0.16/0.45 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', quantDeMorgan2)). 0.16/0.45 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', notdallE)). 0.16/0.45 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', notdexE)). 0.16/0.45 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', prop2setI)). 0.16/0.45 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', quantDeMorgan4)). 0.16/0.45 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', quantDeMorgan3)). 0.16/0.45 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', quantDeMorgan1)). 0.16/0.45 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', upairsetIR)). 0.16/0.45 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', upairsetIL)). 0.16/0.45 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', upairsetE)). 0.16/0.45 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', uniqinunit)). 0.16/0.45 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', subPowSU)). 0.16/0.45 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setunionI)). 0.16/0.45 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptyInPowerset)). 0.16/0.45 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', powersetI)). 0.16/0.45 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.RWttSjfuAF/Vampire---4.8_30583', wellorderingAx)). 0.16/0.45 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', omegaIndAx)). 0.16/0.45 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setunionAx)). 0.16/0.45 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setadjoinAx)). 0.16/0.45 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', emptysetAx)). 0.16/0.45 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.RWttSjfuAF/Vampire---4.8_30583', setextAx)). 0.16/0.45 thf(c_0_62, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.16/0.45 thf(c_0_63, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.16/0.45 thf(c_0_64, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.16/0.45 thf(c_0_65, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.16/0.45 thf(c_0_66, 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])). 0.16/0.45 thf(c_0_67, 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])). 0.16/0.45 thf(c_0_68, 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])). 0.16/0.45 thf(c_0_69, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.16/0.45 thf(c_0_70, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.16/0.45 thf(c_0_71, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X192:$i]:((((X1 @ X192))&![X193:$i]:((((X1 @ X193))=>((X192)=(X193)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_62, c_0_63])). 0.16/0.45 thf(c_0_72, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_64, c_0_65])). 0.16/0.45 thf(c_0_73, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.16/0.45 thf(c_0_74, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_65])). 0.16/0.45 thf(c_0_75, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_65])). 0.16/0.45 thf(c_0_76, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.16/0.45 thf(c_0_77, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.16/0.45 thf(c_0_78, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.16/0.45 thf(c_0_79, plain, ((emptyE1)<=>![X4:$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])). 0.16/0.45 thf(c_0_80, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_65])). 0.16/0.45 thf(c_0_81, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X196:$i]:((((X1 @ X196))&![X197:$i]:((((X1 @ X197))=>((X196)=(X197))))))))))), inference(apply_def,[status(thm)],[c_0_66, c_0_63])). 0.16/0.45 thf(c_0_82, plain, ((exuE2)=(![X1:$i > $o]:(((?[X194:$i]:((((X1 @ X194))&![X195:$i]:((((X1 @ X195))=>((X194)=(X195)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_67, c_0_63])). 0.16/0.45 thf(c_0_83, plain, ((exuE1)=(![X1:$i > $o]:(((?[X190:$i]:((((X1 @ X190))&![X191:$i]:((((X1 @ X191))=>((X190)=(X191)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_68, c_0_63])). 0.16/0.45 thf(c_0_84, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X188:$i]:((((X6 @ X2 @ X188))&![X189:$i]:((((X6 @ X2 @ X189))=>((X188)=(X189)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_69, c_0_63])). 0.16/0.45 thf(c_0_85, plain, ((epred1_0)<=>![X219:$i]:(?[X220:$i]:((((![X221:$i]:(((in @ X221 @ X220)=>![X222:$i]:(((in @ X222 @ X221)=>(in @ X222 @ X219)))))&![X223:$i, X224:$i]:((((in @ X223 @ X219)&(in @ X224 @ X219))=>(![X225:$i]:(((in @ X225 @ X220)=>((in @ X223 @ X225)<=>(in @ X224 @ X225))))=>((X223)=(X224))))))&![X226:$i, X227:$i]:((((in @ X226 @ X220)&(in @ X227 @ X220))=>(![X228:$i]:(((in @ X228 @ X226)=>(in @ X228 @ X227)))|![X229:$i]:(((in @ X229 @ X227)=>(in @ X229 @ X226)))))))&![X230:$i]:(((![X231:$i]:(((in @ X231 @ X230)=>(in @ X231 @ X219)))&?[X232:$i]:((in @ X232 @ X230)))=>?[X233:$i, X234:$i]:(((((in @ X233 @ X220)&(in @ X234 @ X230))&~(?[X235:$i]:(((in @ X235 @ X233)&(in @ X235 @ X230)))))&![X236:$i]:(((in @ X236 @ X220)=>(![X237:$i]:(((in @ X237 @ X236)=>(in @ X237 @ X233)))|(in @ X234 @ X236)))))))))))), introduced(definition)). 0.16/0.45 thf(c_0_86, negated_conjecture, ~((![X198:$i, X199:$i]:((![X200:$i]:(((in @ X200 @ X198)<=>(in @ X200 @ X199)))=>((X198)=(X199))))=>(![X201:$i]:(~(in @ X201 @ emptyset))=>(![X202:$i, X203:$i, X204:$i]:(((in @ X204 @ (setadjoin @ X202 @ X203))<=>(((X204)=(X202))|(in @ X204 @ X203))))=>(![X374:$i, X375:$i]:(((in @ X375 @ (powerset @ X374))<=>![X376:$i]:(((in @ X376 @ X375)=>(in @ X376 @ X374)))))=>(![X205:$i, X206:$i]:(((in @ X206 @ (setunion @ X205))<=>?[X207:$i]:(((in @ X206 @ X207)&(in @ X207 @ X205)))))=>((in @ emptyset @ omega)=>(![X373:$i]:(((in @ X373 @ omega)=>(in @ (setadjoin @ X373 @ X373) @ omega)))=>(![X208:$i]:((((in @ emptyset @ X208)&![X209:$i]:((((in @ X209 @ omega)&(in @ X209 @ X208))=>(in @ (setadjoin @ X209 @ X209) @ X208))))=>![X210:$i]:(((in @ X210 @ omega)=>(in @ X210 @ X208)))))=>(![X211:$i > $i > $o, X212:$i]:((![X213:$i]:(((in @ X213 @ X212)=>?[X214:$i]:(((X211 @ X213 @ X214)&![X215:$i]:(((X211 @ X213 @ X215)=>((X214)=(X215))))))))=>?[X216:$i]:(![X217:$i]:(((in @ X217 @ X216)<=>?[X218:$i]:(((in @ X218 @ X212)&(X211 @ X218 @ X217))))))))=>(![X369:$i]:((?[X370:$i]:((in @ X370 @ X369))=>?[X371:$i]:(((in @ X371 @ X369)&~(?[X372:$i]:(((in @ X372 @ X371)&(in @ X372 @ X369))))))))=>((epred1_0)=>((descrp)=>(![X366:$i, X367:$i > $o, X368:$i]:(((in @ X368 @ X366)=>((X367 @ X368)=>(in @ X368 @ (dsetconstr @ X366 @ (^[Z0/* 3 */:$i]:((X367 @ Z0))))))))=>(![X363:$i, X364:$i > $o, X365:$i]:(((in @ X365 @ (dsetconstr @ X363 @ (^[Z0/* 3 */:$i]:((X364 @ Z0)))))=>(in @ X365 @ X363)))=>(![X360:$i, X361:$i > $o, X362:$i]:(((in @ X362 @ (dsetconstr @ X360 @ (^[Z0/* 3 */:$i]:((X361 @ Z0)))))=>(X361 @ X362)))=>(![X238:$i > $o]:((?[X239:$i]:(((X238 @ X239)&![X240:$i]:(((X238 @ X240)=>((X239)=(X240))))))=>?[X241:$i]:(((X238 @ X241)&![X242:$i]:(((X238 @ X242)=>((X241)=(X242))))))))=>(![X358:$o, X359:$i]:(((in @ X359 @ (prop2set @ ((X358))))=>(X358)))=>(![X356:$i]:(((in @ X356 @ emptyset)=>![X357:$o]:((X357))))=>(![X355:$i]:(~(in @ X355 @ emptyset))=>(![X354:$i]:(~(in @ X354 @ emptyset))=>(![X243:$i > $o]:((?[X244:$i]:(((X243 @ X244)&![X245:$i]:(((X243 @ X245)=>((X244)=(X245))))))=>?[X246:$i]:((X243 @ X246))))=>(![X247:$i, X248:$i]:((![X249:$i]:(((in @ X249 @ X247)=>(in @ X249 @ X248)))=>(![X250:$i]:(((in @ X250 @ X248)=>(in @ X250 @ X247)))=>((X247)=(X248)))))=>(![X251:$i]:((![X252:$i]:(~(in @ X252 @ X251))=>((X251)=(emptyset))))=>(![X253:$i]:((![X254:$i]:(~(in @ X254 @ X253))=>((X253)=(emptyset))))=>(![X351:$i, X352:$i > $o, X353:$i]:(((in @ X353 @ X351)=>((in @ X353 @ (dsetconstr @ X351 @ (^[Z0/* 3 */:$i]:((X352 @ Z0)))))<=>(X352 @ X353))))=>(![X255:$i]:((((X255)!=(emptyset))=>?[X256:$i]:((in @ X256 @ X255))))=>(![X348:$i, X349:$i > $o, X350:$i]:(((in @ X350 @ X348)=>((X349 @ X350)=>((dsetconstr @ X348 @ (^[Z0/* 3 */:$i]:((X349 @ Z0))))!=(emptyset)))))=>(![X257:$i]:((?[X258:$i]:((in @ X258 @ X257))=>((X257)!=(emptyset))))=>(![X259:$i, X260:$i]:((in @ X259 @ (setadjoin @ X259 @ X260)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X261:$i, X262:$i, X263:$i]:(((in @ X263 @ X262)=>(in @ X263 @ (setadjoin @ X261 @ X262))))=>(![X344:$i, X345:$i, X346:$i]:(((in @ X346 @ (setadjoin @ X344 @ X345))=>![X347:$o]:(((((X346)=(X344))=>(X347))=>(((in @ X346 @ X345)=>(X347))=>(X347))))))=>(![X264:$i, X265:$i, X266:$i]:(((in @ X266 @ (setadjoin @ X264 @ X265))=>(((X266)=(X264))|(in @ X266 @ X265))))=>(![X343:$i]:(((dsetconstr @ X343 @ (^[Z0/* 3 */:$i]:(($true))))=(X343)))=>(![X340:$i, X341:$i]:((![X342:$i]:(((in @ X342 @ X341)=>(in @ X342 @ X340)))=>(in @ X341 @ (powerset @ X340))))=>(![X267:$i]:((in @ emptyset @ (powerset @ X267)))=>(![X339:$i]:((in @ emptyset @ (powerset @ X339)))=>(![X268:$i, X269:$i, X270:$i]:(((in @ X269 @ (powerset @ X268))=>((in @ X270 @ X269)=>(in @ X270 @ X268))))=>(![X336:$i, X337:$i, X338:$i]:(((in @ X337 @ X338)=>((in @ X338 @ X336)=>(in @ X337 @ (setunion @ X336)))))=>(![X271:$i, X272:$i]:(((in @ X272 @ (setunion @ X271))=>![X273:$o]:((![X274:$i]:(((in @ X272 @ X274)=>((in @ X274 @ X271)=>(X273))))=>(X273)))))=>(![X334:$i, X335:$i]:(((in @ X335 @ X334)=>(in @ X335 @ (powerset @ (setunion @ X334)))))=>(![X329:$i > $o]:((?[X330:$i]:(((X329 @ X330)&![X331:$i]:(((X329 @ X331)=>((X330)=(X331))))))=>?[X332:$i]:(![X333:$i]:(((X329 @ X333)<=>((X333)=(X332)))))))=>(![X275:$i]:((((X275)!=(emptyset))=>?[X276:$i]:((in @ X276 @ X275))))=>(![X327:$i, X328:$i]:(((in @ X327 @ (setadjoin @ X328 @ emptyset))=>((X327)=(X328))))=>(![X277:$i, X278:$i]:((((X277)!=(X278))=>~(in @ X278 @ (setadjoin @ X277 @ emptyset))))=>(![X279:$i, X280:$i]:((((X279)=(X280))=>(in @ X279 @ (setadjoin @ X280 @ emptyset))))=>(![X281:$i, X282:$i]:(((in @ X281 @ (setadjoin @ X282 @ emptyset))=>(in @ X282 @ (setadjoin @ X281 @ emptyset))))=>(![X324:$i, X325:$i, X326:$i]:(((in @ X326 @ (setadjoin @ X324 @ (setadjoin @ X325 @ emptyset)))=>(((X326)=(X324))|((X326)=(X325)))))=>(![X322:$i, X323:$i]:((in @ X322 @ (setadjoin @ X322 @ (setadjoin @ X323 @ emptyset))))=>(![X320:$i, X321:$i]:((in @ X321 @ (setadjoin @ X320 @ (setadjoin @ X321 @ emptyset))))=>(![X317:$i, X318:$i > $o]:((?[X319:$i]:(((in @ X319 @ X317)&(X318 @ X319)))=>((dsetconstr @ X317 @ (^[Z0/* 3 */:$i]:((X318 @ Z0))))!=(emptyset))))=>(![X315:$i > $o, X316:$i]:(((in @ X316 @ emptyset)=>(X315 @ X316)))=>(![X311:$i, X312:$i > $o]:((~(![X313:$i]:(((in @ X313 @ X311)=>(X312 @ X313))))=>?[X314:$i]:(((in @ X314 @ X311)&~(X312 @ X314)))))=>(![X283:$i, X284:$i > $o]:((![X285:$i]:(((in @ X285 @ X283)=>~(X284 @ X285)))=>~(?[X286:$i]:(((in @ X286 @ X283)&(X284 @ X286))))))=>(![X307:$i, X308:$i > $o]:((~(?[X309:$i]:(((in @ X309 @ X307)&(X308 @ X309))))=>![X310:$i]:(((in @ X310 @ X307)=>~(X308 @ X310)))))=>(![X303:$i, X304:$i > $o]:((?[X305:$i]:(((in @ X305 @ X303)&~(X304 @ X305)))=>~(![X306:$i]:(((in @ X306 @ X303)=>(X304 @ X306))))))=>(![X302:$o]:(((X302)=>(in @ emptyset @ (prop2set @ ((X302))))))=>((prop2set2propI)=>(![X298:$i, X299:$i > $o]:((~(?[X300:$i]:(((in @ X300 @ X298)&(X299 @ X300))))=>![X301:$i]:(((in @ X301 @ X298)=>~(X299 @ X301)))))=>(![X294:$i, X295:$i > $o]:((~(![X296:$i]:(((in @ X296 @ X294)=>(X295 @ X296))))=>?[X297:$i]:(((in @ X297 @ X294)&~(X295 @ X297)))))=>(![X287:$i > $o]:((?[X288:$i]:(((X287 @ X288)&![X289:$i]:(((X287 @ X289)=>((X288)=(X289))))))=>?[X290:$i]:(((X287 @ X290)&![X291:$i]:(((X287 @ X291)=>((X290)=(X291))))))))=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>?[X292:$i]:(((X1 @ X292)&![X293:$i]:(((X1 @ X293)=>((X292)=(X293))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[exuI3])]), emptyinPowerset]), powersetAx]), c_0_70]), c_0_71]), setadjoinE]), noeltsimpempty]), c_0_72]), c_0_73]), c_0_74]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_75]), prop2setE]), c_0_76]), setadjoinIL]), c_0_77]), c_0_78]), foundationAx]), emptyinunitempty]), omegaSAx]), omega0Ax]), setext]), setadjoinIR]), setadjoinOr]), vacuousDall]), c_0_79]), emptyI]), powersetE]), setunionE]), c_0_80]), notinsingleton]), eqinunit]), singletonsswitch]), quantDeMorgan2]), c_0_81]), c_0_63]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan1]), upairsetIR]), upairsetIL]), upairsetE]), uniqinunit]), c_0_82]), subPowSU]), setunionI]), emptyInPowerset]), powersetI]), c_0_83]), wellorderingAx]), c_0_84]), omegaIndAx]), setunionAx]), setadjoinAx]), emptysetAx]), setextAx])]), c_0_85])). 0.16/0.45 thf(c_0_87, negated_conjecture, ![X377:$i, X378:$i, X380:$i, X381:$i, X382:$i, X383:$i, X384:$i, X385:$i, X386:$i, X387:$i, X388:$i, X390:$i, X391:$i, X393:$i, X394:$i, X395:$i, X396:$i, X397:$i, X399:$i, X400:$i > $i > $o, X401:$i, X403:$i, X406:$i, X408:$i, X409:$i, X410:$i, X411:$i, X413:$i, X414:$i, X415:$i > $o, X416:$i, X417:$i, X418:$i > $o, X419:$i, X420:$i, X421:$i > $o, X422:$i, X423:$i > $o, X424:$i, X427:$i, X428:$o, X429:$i, X430:$i, X431:$o, X432:$i, X433:$i, X434:$i > $o, X435:$i, X438:$i, X439:$i, X442:$i, X444:$i, X446:$i, X447:$i > $o, X448:$i, X449:$i, X451:$i, X452:$i > $o, X453:$i, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i, X461:$i, X462:$i, X463:$i, X464:$o, X465:$i, X466:$i, X467:$i, X468:$i, X469:$i, X470:$i, X472:$i, X473:$i, X474:$i, X475:$i, X476:$i, X477:$i, X478:$i, X479:$i, X480:$i, X481:$i, X482:$o, X484:$i, X485:$i, X486:$i > $o, X487:$i, X490:$i, X491:$i, X492:$i, X494:$i, X495:$i, X496:$i, X497:$i, X498:$i, X499:$i, X500:$i, X501:$i, X502:$i, X503:$i, X504:$i, X505:$i, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i > $o, X511:$i, X512:$i > $o, X513:$i, X514:$i, X515:$i > $o, X516:$i, X518:$i, X519:$i > $o, X521:$i, X522:$i, X523:$i > $o, X525:$i, X526:$i, X527:$i > $o, X528:$i, X530:$o, X531:$i, X532:$i > $o, X534:$i, X535:$i, X536:$i > $o, X537:$i, X539:$i > $o, X540:$i, X543:$i, X546:$i, X547:$i, X548:$i]:((((~(in @ (esk1_2 @ X377 @ X378) @ X377)|~(in @ (esk1_2 @ X377 @ X378) @ X378)|((X377)=(X378)))&((in @ (esk1_2 @ X377 @ X378) @ X377)|(in @ (esk1_2 @ X377 @ X378) @ X378)|((X377)=(X378))))&(~(in @ X380 @ emptyset)&(((~(in @ X383 @ (setadjoin @ X381 @ X382))|(((X383)=(X381))|(in @ X383 @ X382)))&((((X383)!=(X381))|(in @ X383 @ (setadjoin @ X381 @ X382)))&(~(in @ X383 @ X382)|(in @ X383 @ (setadjoin @ X381 @ X382)))))&(((~(in @ X385 @ (powerset @ X384))|(~(in @ X386 @ X385)|(in @ X386 @ X384)))&(((in @ (esk2_2 @ X387 @ X388) @ X388)|(in @ X388 @ (powerset @ X387)))&(~(in @ (esk2_2 @ X387 @ X388) @ X387)|(in @ X388 @ (powerset @ X387)))))&(((((in @ X391 @ (esk3_2 @ X390 @ X391))|~(in @ X391 @ (setunion @ X390)))&((in @ (esk3_2 @ X390 @ X391) @ X390)|~(in @ X391 @ (setunion @ X390))))&(~(in @ X394 @ X395)|~(in @ X395 @ X393)|(in @ X394 @ (setunion @ X393))))&((in @ emptyset @ omega)&((~(in @ X396 @ omega)|(in @ (setadjoin @ X396 @ X396) @ omega))&(((((in @ (esk4_1 @ X397) @ omega)|~(in @ emptyset @ X397)|(~(in @ X399 @ omega)|(in @ X399 @ X397)))&((in @ (esk4_1 @ X397) @ X397)|~(in @ emptyset @ X397)|(~(in @ X399 @ omega)|(in @ X399 @ X397))))&(~(in @ (setadjoin @ (esk4_1 @ X397) @ (esk4_1 @ X397)) @ X397)|~(in @ emptyset @ X397)|(~(in @ X399 @ omega)|(in @ X399 @ X397))))&((((((in @ (esk8_3 @ X400 @ X401 @ X406) @ X401)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|(in @ (esk5_2 @ X400 @ X401) @ X401))&((X400 @ (esk8_3 @ X400 @ X401 @ X406) @ X406)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|(in @ (esk5_2 @ X400 @ X401) @ X401)))&(~(in @ X409 @ X401)|~(X400 @ X409 @ X408)|(in @ X408 @ (esk7_2 @ X400 @ X401))|(in @ (esk5_2 @ X400 @ X401) @ X401)))&(((((in @ (esk8_3 @ X400 @ X401 @ X406) @ X401)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|((X400 @ (esk5_2 @ X400 @ X401) @ (esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403)))&((X400 @ (esk8_3 @ X400 @ X401 @ X406) @ X406)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|((X400 @ (esk5_2 @ X400 @ X401) @ (esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403))))&(~(in @ X409 @ X401)|~(X400 @ X409 @ X408)|(in @ X408 @ (esk7_2 @ X400 @ X401))|((X400 @ (esk5_2 @ X400 @ X401) @ (esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403))))&((((in @ (esk8_3 @ X400 @ X401 @ X406) @ X401)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|(((X403)!=(esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403)))&((X400 @ (esk8_3 @ X400 @ X401 @ X406) @ X406)|~(in @ X406 @ (esk7_2 @ X400 @ X401))|(((X403)!=(esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403))))&(~(in @ X409 @ X401)|~(X400 @ X409 @ X408)|(in @ X408 @ (esk7_2 @ X400 @ X401))|(((X403)!=(esk6_3 @ X400 @ X401 @ X403))|~(X400 @ (esk5_2 @ X400 @ X401) @ X403))))))&((((in @ (esk9_1 @ X410) @ X410)|~(in @ X411 @ X410))&(~(in @ X413 @ (esk9_1 @ X410))|~(in @ X413 @ X410)|~(in @ X411 @ X410)))&((epred1_0)&((descrp)&((~(in @ X416 @ X414)|(~(X415 @ X416)|(in @ X416 @ (dsetconstr @ X414 @ (^[Z0/* 3 */:$i]:((X415 @ Z0)))))))&((~(in @ X419 @ (dsetconstr @ X417 @ (^[Z0/* 3 */:$i]:((X418 @ Z0)))))|(in @ X419 @ X417))&((~(in @ X422 @ (dsetconstr @ X420 @ (^[Z0/* 3 */:$i]:((X421 @ Z0)))))|(X421 @ X422))&(((((X423 @ (esk11_1 @ X423))|((X423 @ (esk10_2 @ X423 @ X424))|~(X423 @ X424)))&(~(X423 @ X427)|((esk11_1 @ X423)=(X427))|((X423 @ (esk10_2 @ X423 @ X424))|~(X423 @ X424))))&(((X423 @ (esk11_1 @ X423))|(((X424)!=(esk10_2 @ X423 @ X424))|~(X423 @ X424)))&(~(X423 @ X427)|((esk11_1 @ X423)=(X427))|(((X424)!=(esk10_2 @ X423 @ X424))|~(X423 @ X424)))))&((~(in @ X429 @ (prop2set @ ((X428))))|(X428))&((~(in @ X430 @ emptyset)|(X431))&(~(in @ X432 @ emptyset)&(~(in @ X433 @ emptyset)&((((X434 @ (esk12_2 @ X434 @ X435))|~(X434 @ X435)|(X434 @ (esk13_1 @ X434)))&(((X435)!=(esk12_2 @ X434 @ X435))|~(X434 @ X435)|(X434 @ (esk13_1 @ X434))))&(((((in @ (esk15_2 @ X438 @ X439) @ X439)|((X438)=(X439))|(in @ (esk14_2 @ X438 @ X439) @ X438))&(~(in @ (esk15_2 @ X438 @ X439) @ X438)|((X438)=(X439))|(in @ (esk14_2 @ X438 @ X439) @ X438)))&(((in @ (esk15_2 @ X438 @ X439) @ X439)|((X438)=(X439))|~(in @ (esk14_2 @ X438 @ X439) @ X439))&(~(in @ (esk15_2 @ X438 @ X439) @ X438)|((X438)=(X439))|~(in @ (esk14_2 @ X438 @ X439) @ X439))))&(((in @ (esk16_1 @ X442) @ X442)|((X442)=(emptyset)))&(((in @ (esk17_1 @ X444) @ X444)|((X444)=(emptyset)))&(((~(in @ X448 @ (dsetconstr @ X446 @ (^[Z0/* 3 */:$i]:((X447 @ Z0)))))|(X447 @ X448)|~(in @ X448 @ X446))&(~(X447 @ X448)|(in @ X448 @ (dsetconstr @ X446 @ (^[Z0/* 3 */:$i]:((X447 @ Z0)))))|~(in @ X448 @ X446)))&((((X449)=(emptyset))|(in @ (esk18_1 @ X449) @ X449))&((~(in @ X453 @ X451)|(~(X452 @ X453)|((dsetconstr @ X451 @ (^[Z0/* 3 */:$i]:((X452 @ Z0))))!=(emptyset))))&((~(in @ X455 @ X454)|((X454)!=(emptyset)))&((in @ X456 @ (setadjoin @ X456 @ X457))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X460 @ X459)|(in @ X460 @ (setadjoin @ X458 @ X459)))&(((((in @ X463 @ X462)|(X464)|((X463)=(X461))|~(in @ X463 @ (setadjoin @ X461 @ X462)))&(~(X464)|(X464)|((X463)=(X461))|~(in @ X463 @ (setadjoin @ X461 @ X462))))&(((in @ X463 @ X462)|(X464)|~(X464)|~(in @ X463 @ (setadjoin @ X461 @ X462)))&(~(X464)|(X464)|~(X464)|~(in @ X463 @ (setadjoin @ X461 @ X462)))))&((~(in @ X467 @ (setadjoin @ X465 @ X466))|(((X467)=(X465))|(in @ X467 @ X466)))&(((dsetconstr @ X468 @ (^[Z0/* 3 */:$i]:(($true))))=(X468))&((((in @ (esk19_2 @ X469 @ X470) @ X470)|(in @ X470 @ (powerset @ X469)))&(~(in @ (esk19_2 @ X469 @ X470) @ X469)|(in @ X470 @ (powerset @ X469))))&((in @ emptyset @ (powerset @ X472))&((in @ emptyset @ (powerset @ X473))&((~(in @ X475 @ (powerset @ X474))|(~(in @ X476 @ X475)|(in @ X476 @ X474)))&((~(in @ X478 @ X479)|(~(in @ X479 @ X477)|(in @ X478 @ (setunion @ X477))))&((((in @ X481 @ (esk20_3 @ X480 @ X481 @ X482))|(X482)|~(in @ X481 @ (setunion @ X480)))&(((in @ (esk20_3 @ X480 @ X481 @ X482) @ X480)|(X482)|~(in @ X481 @ (setunion @ X480)))&(~(X482)|(X482)|~(in @ X481 @ (setunion @ X480)))))&((~(in @ X485 @ X484)|(in @ X485 @ (powerset @ (setunion @ X484))))&((((~(X486 @ X490)|((X490)=(esk22_1 @ X486))|((X486 @ (esk21_2 @ X486 @ X487))|~(X486 @ X487)))&(((X491)!=(esk22_1 @ X486))|(X486 @ X491)|((X486 @ (esk21_2 @ X486 @ X487))|~(X486 @ X487))))&((~(X486 @ X490)|((X490)=(esk22_1 @ X486))|(((X487)!=(esk21_2 @ X486 @ X487))|~(X486 @ X487)))&(((X491)!=(esk22_1 @ X486))|(X486 @ X491)|(((X487)!=(esk21_2 @ X486 @ X487))|~(X486 @ X487)))))&((((X492)=(emptyset))|(in @ (esk23_1 @ X492) @ X492))&((~(in @ X494 @ (setadjoin @ X495 @ emptyset))|((X494)=(X495)))&((((X496)=(X497))|~(in @ X497 @ (setadjoin @ X496 @ emptyset)))&((((X498)!=(X499))|(in @ X498 @ (setadjoin @ X499 @ emptyset)))&((~(in @ X500 @ (setadjoin @ X501 @ emptyset))|(in @ X501 @ (setadjoin @ X500 @ emptyset)))&((~(in @ X504 @ (setadjoin @ X502 @ (setadjoin @ X503 @ emptyset)))|(((X504)=(X502))|((X504)=(X503))))&((in @ X505 @ (setadjoin @ X505 @ (setadjoin @ X506 @ emptyset)))&((in @ X508 @ (setadjoin @ X507 @ (setadjoin @ X508 @ emptyset)))&((~(in @ X511 @ X509)|~(X510 @ X511)|((dsetconstr @ X509 @ (^[Z0/* 3 */:$i]:((X510 @ Z0))))!=(emptyset)))&((~(in @ X513 @ emptyset)|(X512 @ X513))&((((in @ (esk24_2 @ X514 @ X515) @ X514)|(~(in @ X516 @ X514)|(X515 @ X516)))&(~(X515 @ (esk24_2 @ X514 @ X515))|(~(in @ X516 @ X514)|(X515 @ X516))))&((((in @ (esk25_2 @ X518 @ X519) @ X518)|(~(in @ X521 @ X518)|~(X519 @ X521)))&((X519 @ (esk25_2 @ X518 @ X519))|(~(in @ X521 @ X518)|~(X519 @ X521))))&((((in @ (esk26_2 @ X522 @ X523) @ X522)|(~(in @ X525 @ X522)|~(X523 @ X525)))&((X523 @ (esk26_2 @ X522 @ X523))|(~(in @ X525 @ X522)|~(X523 @ X525))))&((((in @ (esk27_2 @ X526 @ X527) @ X526)|(~(in @ X528 @ X526)|(X527 @ X528)))&(~(X527 @ (esk27_2 @ X526 @ X527))|(~(in @ X528 @ X526)|(X527 @ X528))))&((~(X530)|(in @ emptyset @ (prop2set @ ((X530)))))&((prop2set2propI)&((((in @ (esk28_2 @ X531 @ X532) @ X531)|(~(in @ X534 @ X531)|~(X532 @ X534)))&((X532 @ (esk28_2 @ X531 @ X532))|(~(in @ X534 @ X531)|~(X532 @ X534))))&((((in @ (esk29_2 @ X535 @ X536) @ X535)|(~(in @ X537 @ X535)|(X536 @ X537)))&(~(X536 @ (esk29_2 @ X535 @ X536))|(~(in @ X537 @ X535)|(X536 @ X537))))&(((((X539 @ (esk31_1 @ X539))|((X539 @ (esk30_2 @ X539 @ X540))|~(X539 @ X540)))&(~(X539 @ X543)|((esk31_1 @ X539)=(X543))|((X539 @ (esk30_2 @ X539 @ X540))|~(X539 @ X540))))&(((X539 @ (esk31_1 @ X539))|(((X540)!=(esk30_2 @ X539 @ X540))|~(X539 @ X540)))&(~(X539 @ X543)|((esk31_1 @ X539)=(X543))|(((X540)!=(esk30_2 @ X539 @ X540))|~(X539 @ X540)))))&((epred2_0 @ esk32_0)&((~(epred2_0 @ X546)|(~(epred2_0 @ X547)|((X546)=(X547))))&(((epred2_0 @ (esk33_1 @ X548))|~(epred2_0 @ X548))&(((X548)!=(esk33_1 @ X548))|~(epred2_0 @ X548))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])])])])). 0.16/0.45 thf(c_0_88, negated_conjecture, ![X2:$i, X3:$i]:((((X2)=(X3))|~((epred2_0 @ X2))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_87])). 0.16/0.45 thf(c_0_89, negated_conjecture, (epred2_0 @ esk32_0), inference(split_conjunct,[status(thm)],[c_0_87])). 0.16/0.45 thf(c_0_90, negated_conjecture, ![X2:$i]:((((X2)=(esk32_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_88, c_0_89])). 0.16/0.45 thf(c_0_91, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk33_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_87])). 0.16/0.45 thf(c_0_92, negated_conjecture, ![X2:$i]:((((X2)!=(esk33_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_87])). 0.16/0.45 thf(c_0_93, negated_conjecture, ![X2:$i]:((((esk33_1 @ X2)=(esk32_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_90, c_0_91])). 0.16/0.45 thf(c_0_94, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93])]), c_0_89])]), ['proof']). 0.16/0.45 # SZS output end CNFRefutation 0.16/0.45 # Parsed axioms : 137 0.16/0.45 # Removed by relevancy pruning/SinE : 75 0.16/0.45 # Initial clauses : 122 0.16/0.45 # Removed in clause preprocessing : 4 0.16/0.45 # Initial clauses in saturation : 118 0.16/0.45 # Processed clauses : 155 0.16/0.45 # ...of these trivial : 3 0.16/0.45 # ...subsumed : 16 0.16/0.45 # ...remaining for further processing : 136 0.16/0.45 # Other redundant clauses eliminated : 7 0.16/0.45 # Clauses deleted for lack of memory : 0 0.16/0.45 # Backward-subsumed : 0 0.16/0.45 # Backward-rewritten : 2 0.16/0.45 # Generated clauses : 38 0.16/0.45 # ...of the previous two non-redundant : 33 0.16/0.45 # ...aggressively subsumed : 0 0.16/0.45 # Contextual simplify-reflections : 0 0.16/0.45 # Paramodulations : 31 0.16/0.45 # Factorizations : 0 0.16/0.45 # NegExts : 0 0.16/0.45 # Equation resolutions : 7 0.16/0.45 # Total rewrite steps : 21 0.16/0.45 # Propositional unsat checks : 0 0.16/0.45 # Propositional check models : 0 0.16/0.45 # Propositional check unsatisfiable : 0 0.16/0.45 # Propositional clauses : 0 0.16/0.45 # Propositional clauses after purity: 0 0.16/0.45 # Propositional unsat core size : 0 0.16/0.45 # Propositional preprocessing time : 0.000 0.16/0.45 # Propositional encoding time : 0.000 0.16/0.45 # Propositional solver time : 0.000 0.16/0.45 # Success case prop preproc time : 0.000 0.16/0.45 # Success case prop encoding time : 0.000 0.16/0.45 # Success case prop solver time : 0.000 0.16/0.45 # Current number of processed clauses : 30 0.16/0.45 # Positive orientable unit clauses : 11 0.16/0.45 # Positive unorientable unit clauses: 0 0.16/0.45 # Negative unit clauses : 1 0.16/0.45 # Non-unit-clauses : 18 0.16/0.45 # Current number of unprocessed clauses: 93 0.16/0.45 # ...number of literals in the above : 284 0.16/0.45 # Current number of archived formulas : 0 0.16/0.45 # Current number of archived clauses : 101 0.16/0.45 # Clause-clause subsumption calls (NU) : 2405 0.16/0.45 # Rec. Clause-clause subsumption calls : 1033 0.16/0.45 # Non-unit clause-clause subsumptions : 12 0.16/0.45 # Unit Clause-clause subsumption calls : 12 0.16/0.45 # Rewrite failures with RHS unbound : 0 0.16/0.45 # BW rewrite match attempts : 4 0.16/0.45 # BW rewrite match successes : 2 0.16/0.45 # Condensation attempts : 155 0.16/0.45 # Condensation successes : 3 0.16/0.45 # Termbank termtop insertions : 17630 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.020 s 0.16/0.45 # System time : 0.008 s 0.16/0.45 # Total time : 0.028 s 0.16/0.45 # Maximum resident set size: 3488 pages 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.023 s 0.16/0.45 # System time : 0.010 s 0.16/0.45 # Total time : 0.033 s 0.16/0.45 # Maximum resident set size: 2104 pages 0.16/0.45 % E---3.1 exiting 0.16/0.45 EOF