0.10/0.12 % Problem : Vampire---4.8_7524 : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : run_E %s %d THM 0.13/0.33 % Computer : n012.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Mon Jul 3 12:56:22 EDT 2023 0.13/0.33 % CPUTime : 0.18/0.47 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.DulhyltNcr/Vampire---4.8_7524 0.18/0.47 # Version: 3.1pre001-ho 0.18/0.50 # Preprocessing class: HSMSSLSSMLLCHFA. 0.18/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 # Starting new_ho_10 with 900s (5) cores 0.18/0.50 # Starting sh5l with 180s (1) cores 0.18/0.50 # Starting new_bool_1 with 180s (1) cores 0.18/0.50 # Starting new_bool_2 with 180s (1) cores 0.18/0.50 # new_bool_1 with pid 7858 completed with status 0 0.18/0.50 # Result found by new_bool_1 0.18/0.50 # Preprocessing class: HSMSSLSSMLLCHFA. 0.18/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 # Starting new_ho_10 with 900s (5) cores 0.18/0.50 # Starting sh5l with 180s (1) cores 0.18/0.50 # Starting new_bool_1 with 180s (1) cores 0.18/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.50 # Search class: HGHSM-FFMS31-SHFSMSBN 0.18/0.50 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 # Starting new_ho_10 with 109s (1) cores 0.18/0.50 # new_ho_10 with pid 7864 completed with status 0 0.18/0.50 # Result found by new_ho_10 0.18/0.50 # Preprocessing class: HSMSSLSSMLLCHFA. 0.18/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 # Starting new_ho_10 with 900s (5) cores 0.18/0.50 # Starting sh5l with 180s (1) cores 0.18/0.50 # Starting new_bool_1 with 180s (1) cores 0.18/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.50 # Search class: HGHSM-FFMS31-SHFSMSBN 0.18/0.50 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 # Starting new_ho_10 with 109s (1) cores 0.18/0.50 # Preprocessing time : 0.004 s 0.18/0.50 # Presaturation interreduction done 0.18/0.50 0.18/0.50 # Proof found! 0.18/0.50 # SZS status Theorem 0.18/0.50 # SZS output start CNFRefutation 0.18/0.50 thf(decl_22, type, in: $i > $i > $o). 0.18/0.50 thf(decl_23, type, exu: ($i > $o) > $o). 0.18/0.50 thf(decl_24, type, setextAx: $o). 0.18/0.50 thf(decl_25, type, emptyset: $i). 0.18/0.50 thf(decl_26, type, emptysetAx: $o). 0.18/0.50 thf(decl_27, type, setadjoin: $i > $i > $i). 0.18/0.50 thf(decl_28, type, setadjoinAx: $o). 0.18/0.50 thf(decl_29, type, powerset: $i > $i). 0.18/0.50 thf(decl_30, type, powersetAx: $o). 0.18/0.50 thf(decl_31, type, setunion: $i > $i). 0.18/0.50 thf(decl_32, type, setunionAx: $o). 0.18/0.50 thf(decl_33, type, omega: $i). 0.18/0.50 thf(decl_34, type, omega0Ax: $o). 0.18/0.50 thf(decl_35, type, omegaSAx: $o). 0.18/0.50 thf(decl_36, type, omegaIndAx: $o). 0.18/0.50 thf(decl_37, type, replAx: $o). 0.18/0.50 thf(decl_38, type, foundationAx: $o). 0.18/0.50 thf(decl_39, type, wellorderingAx: $o). 0.18/0.50 thf(decl_41, type, descrp: $o). 0.18/0.50 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.18/0.50 thf(decl_43, type, dsetconstrI: $o). 0.18/0.50 thf(decl_44, type, dsetconstrEL: $o). 0.18/0.50 thf(decl_45, type, dsetconstrER: $o). 0.18/0.50 thf(decl_46, type, exuE1: $o). 0.18/0.50 thf(decl_47, type, prop2set: $o > $i). 0.18/0.50 thf(decl_48, type, prop2setE: $o). 0.18/0.50 thf(decl_49, type, emptysetE: $o). 0.18/0.50 thf(decl_50, type, emptysetimpfalse: $o). 0.18/0.50 thf(decl_51, type, notinemptyset: $o). 0.18/0.50 thf(decl_52, type, exuE3e: $o). 0.18/0.50 thf(decl_53, type, setext: $o). 0.18/0.50 thf(decl_54, type, emptyI: $o). 0.18/0.50 thf(decl_55, type, noeltsimpempty: $o). 0.18/0.50 thf(decl_56, type, setbeta: $o). 0.18/0.50 thf(decl_57, type, nonempty: $i > $o). 0.18/0.50 thf(decl_58, type, nonemptyE1: $o). 0.18/0.50 thf(decl_59, type, nonemptyI: $o). 0.18/0.50 thf(decl_60, type, nonemptyI1: $o). 0.18/0.50 thf(decl_61, type, setadjoinIL: $o). 0.18/0.50 thf(decl_62, type, emptyinunitempty: $o). 0.18/0.50 thf(decl_63, type, setadjoinIR: $o). 0.18/0.50 thf(decl_64, type, setadjoinE: $o). 0.18/0.50 thf(decl_65, type, setadjoinOr: $o). 0.18/0.50 thf(decl_66, type, setoftrueEq: $o). 0.18/0.50 thf(decl_67, type, powersetI: $o). 0.18/0.50 thf(decl_68, type, emptyinPowerset: $o). 0.18/0.50 thf(decl_69, type, emptyInPowerset: $o). 0.18/0.50 thf(decl_70, type, powersetE: $o). 0.18/0.50 thf(decl_71, type, setunionI: $o). 0.18/0.50 thf(decl_72, type, setunionE: $o). 0.18/0.50 thf(decl_73, type, subPowSU: $o). 0.18/0.50 thf(decl_74, type, exuE2: $o). 0.18/0.50 thf(decl_75, type, nonemptyImpWitness: $o). 0.18/0.50 thf(decl_76, type, uniqinunit: $o). 0.18/0.50 thf(decl_77, type, notinsingleton: $o). 0.18/0.50 thf(decl_78, type, eqinunit: $o). 0.18/0.50 thf(decl_79, type, epred1_0: $o). 0.18/0.50 thf(decl_80, type, esk1_2: $i > $i > $i). 0.18/0.50 thf(decl_81, type, esk2_2: $i > $i > $i). 0.18/0.50 thf(decl_82, type, esk3_2: $i > $i > $i). 0.18/0.50 thf(decl_83, type, esk4_1: $i > $i). 0.18/0.50 thf(decl_84, type, esk5_2: ($i > $i > $o) > $i > $i). 0.18/0.50 thf(decl_85, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.18/0.50 thf(decl_86, type, esk7_2: ($i > $i > $o) > $i > $i). 0.18/0.50 thf(decl_87, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.18/0.50 thf(decl_88, type, esk9_1: $i > $i). 0.18/0.50 thf(decl_89, type, esk10_2: ($i > $o) > $i > $i). 0.18/0.50 thf(decl_90, type, esk11_1: ($i > $o) > $i). 0.18/0.50 thf(decl_91, type, esk12_2: ($i > $o) > $i > $i). 0.18/0.50 thf(decl_92, type, esk13_1: ($i > $o) > $i). 0.18/0.50 thf(decl_93, type, esk14_2: $i > $i > $i). 0.18/0.50 thf(decl_94, type, esk15_2: $i > $i > $i). 0.18/0.50 thf(decl_95, type, esk16_1: $i > $i). 0.18/0.50 thf(decl_96, type, esk17_1: $i > $i). 0.18/0.50 thf(decl_97, type, esk18_1: $i > $i). 0.18/0.50 thf(decl_98, type, esk19_2: $i > $i > $i). 0.18/0.50 thf(decl_99, type, esk20_3: $i > $i > $o > $i). 0.18/0.50 thf(decl_100, type, esk21_2: ($i > $o) > $i > $i). 0.18/0.50 thf(decl_101, type, esk22_1: ($i > $o) > $i). 0.18/0.50 thf(decl_102, type, esk23_1: $i > $i). 0.18/0.50 thf(decl_103, type, esk24_0: $i). 0.18/0.50 thf(decl_104, type, esk25_0: $i). 0.18/0.50 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', nonempty)). 0.18/0.50 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', prop2set)). 0.18/0.50 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', exuE3e)). 0.18/0.50 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', exu)). 0.18/0.50 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', exuE2)). 0.18/0.50 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', nonemptyI)). 0.18/0.50 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', exuE1)). 0.18/0.50 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', replAx)). 0.18/0.50 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', nonemptyE1)). 0.18/0.50 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', prop2setE)). 0.18/0.50 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', dsetconstrEL)). 0.18/0.50 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setbeta)). 0.18/0.50 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', nonemptyI1)). 0.18/0.50 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', nonemptyImpWitness)). 0.18/0.50 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setoftrueEq)). 0.18/0.50 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', dsetconstrER)). 0.18/0.50 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', dsetconstrI)). 0.18/0.50 thf(singletonsswitch, conjecture, ((((setadjoinAx)=>(((setunionAx)=>(((((replAx)=>(((wellorderingAx)=>(((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((prop2setE)=>((((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>(((((setunionE)=>(((((uniqinunit)=>((![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU)))<=(setunionI))<=(powersetE))<=(emptyInPowerset))))<=(setoftrueEq))<=(setadjoinOr)))))<=(setadjoinIL)))<=(nonemptyI))<=(nonemptyE1))))))))<=(emptysetimpfalse))<=(emptysetE)))))<=(dsetconstrEL)))<=(descrp)))<=(foundationAx)))<=(omegaIndAx))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', singletonsswitch)). 0.18/0.50 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', notinemptyset)). 0.18/0.50 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setextAx)). 0.18/0.50 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptysetimpfalse)). 0.18/0.50 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptysetE)). 0.18/0.50 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setext)). 0.18/0.50 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', foundationAx)). 0.18/0.50 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptyI)). 0.18/0.50 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.DulhyltNcr/Vampire---4.8_7524', omegaIndAx)). 0.18/0.50 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', omegaSAx)). 0.18/0.50 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', omega0Ax)). 0.18/0.50 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', noeltsimpempty)). 0.18/0.50 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', powersetAx)). 0.18/0.50 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptysetAx)). 0.18/0.50 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptyinunitempty)). 0.18/0.50 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setadjoinIR)). 0.18/0.50 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setadjoinE)). 0.18/0.50 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', powersetI)). 0.18/0.50 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptyinPowerset)). 0.18/0.50 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setunionE)). 0.18/0.50 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', uniqinunit)). 0.18/0.50 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', eqinunit)). 0.18/0.50 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', notinsingleton)). 0.18/0.50 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', subPowSU)). 0.18/0.50 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setunionI)). 0.18/0.50 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', powersetE)). 0.18/0.50 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', emptyInPowerset)). 0.18/0.50 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setadjoinOr)). 0.18/0.50 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setadjoinIL)). 0.18/0.50 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', wellorderingAx)). 0.18/0.50 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setunionAx)). 0.18/0.50 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.DulhyltNcr/Vampire---4.8_7524', setadjoinAx)). 0.18/0.50 thf(c_0_49, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.18/0.50 thf(c_0_50, plain, ((prop2set)=(^[Z0/* 42 */:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1/* 3 */:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.18/0.50 thf(c_0_51, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.18/0.50 thf(c_0_52, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.18/0.50 thf(c_0_53, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.18/0.50 thf(c_0_54, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.18/0.50 thf(c_0_55, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.18/0.50 thf(c_0_56, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.18/0.50 thf(c_0_57, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_49])). 0.18/0.50 thf(c_0_58, axiom, ((prop2setE)=(![X11:$o, X2:$i]:(((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:(((X11))))))=>(X11))))), inference(apply_def,[status(thm)],[prop2setE, c_0_50])). 0.18/0.50 thf(c_0_59, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.18/0.50 thf(c_0_60, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.18/0.50 thf(c_0_61, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_49])). 0.18/0.50 thf(c_0_62, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_49])). 0.18/0.50 thf(c_0_63, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X146:$i]:((((X1 @ X146))&![X147:$i]:((((X1 @ X147))=>((X146)=(X147)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_51, c_0_52])). 0.18/0.50 thf(c_0_64, plain, ((exuE2)=(![X1:$i > $o]:(((?[X148:$i]:((((X1 @ X148))&![X149:$i]:((((X1 @ X149))=>((X148)=(X149)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_53, c_0_52])). 0.18/0.50 thf(c_0_65, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.18/0.50 thf(c_0_66, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_54, c_0_49])). 0.18/0.50 thf(c_0_67, plain, ((exuE1)=(![X1:$i > $o]:(((?[X144:$i]:((((X1 @ X144))&![X145:$i]:((((X1 @ X145))=>((X144)=(X145)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_55, c_0_52])). 0.18/0.50 thf(c_0_68, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.18/0.50 thf(c_0_69, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.18/0.50 thf(c_0_70, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X142:$i]:((((X6 @ X2 @ X142))&![X143:$i]:((((X6 @ X2 @ X143))=>((X142)=(X143)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_52])). 0.18/0.50 thf(c_0_71, plain, ((epred1_0)<=>![X164:$i]:(?[X165:$i]:((((![X166:$i]:(((in @ X166 @ X165)=>![X167:$i]:(((in @ X167 @ X166)=>(in @ X167 @ X164)))))&![X168:$i, X169:$i]:((((in @ X168 @ X164)&(in @ X169 @ X164))=>(![X170:$i]:(((in @ X170 @ X165)=>((in @ X168 @ X170)<=>(in @ X169 @ X170))))=>((X168)=(X169))))))&![X171:$i, X172:$i]:((((in @ X171 @ X165)&(in @ X172 @ X165))=>(![X173:$i]:(((in @ X173 @ X171)=>(in @ X173 @ X172)))|![X174:$i]:(((in @ X174 @ X172)=>(in @ X174 @ X171)))))))&![X175:$i]:(((![X176:$i]:(((in @ X176 @ X175)=>(in @ X176 @ X164)))&?[X177:$i]:((in @ X177 @ X175)))=>?[X178:$i, X179:$i]:(((((in @ X178 @ X165)&(in @ X179 @ X175))&~(?[X180:$i]:(((in @ X180 @ X178)&(in @ X180 @ X175)))))&![X181:$i]:(((in @ X181 @ X165)=>(![X182:$i]:(((in @ X182 @ X181)=>(in @ X182 @ X178)))|(in @ X179 @ X181)))))))))))), introduced(definition)). 0.18/0.50 thf(c_0_72, negated_conjecture, ~((![X280:$i, X281:$i]:((![X282:$i]:(((in @ X282 @ X280)<=>(in @ X282 @ X281)))=>((X280)=(X281))))=>(![X279:$i]:(~(in @ X279 @ emptyset))=>(![X150:$i, X151:$i, X152:$i]:(((in @ X152 @ (setadjoin @ X150 @ X151))<=>(((X152)=(X150))|(in @ X152 @ X151))))=>(![X276:$i, X277:$i]:(((in @ X277 @ (powerset @ X276))<=>![X278:$i]:(((in @ X278 @ X277)=>(in @ X278 @ X276)))))=>(![X153:$i, X154:$i]:(((in @ X154 @ (setunion @ X153))<=>?[X155:$i]:(((in @ X154 @ X155)&(in @ X155 @ X153)))))=>((in @ emptyset @ omega)=>(![X275:$i]:(((in @ X275 @ omega)=>(in @ (setadjoin @ X275 @ X275) @ omega)))=>(![X272:$i]:((((in @ emptyset @ X272)&![X273:$i]:((((in @ X273 @ omega)&(in @ X273 @ X272))=>(in @ (setadjoin @ X273 @ X273) @ X272))))=>![X274:$i]:(((in @ X274 @ omega)=>(in @ X274 @ X272)))))=>(![X156:$i > $i > $o, X157:$i]:((![X158:$i]:(((in @ X158 @ X157)=>?[X159:$i]:(((X156 @ X158 @ X159)&![X160:$i]:(((X156 @ X158 @ X160)=>((X159)=(X160))))))))=>?[X161:$i]:(![X162:$i]:(((in @ X162 @ X161)<=>?[X163:$i]:(((in @ X163 @ X157)&(X156 @ X163 @ X162))))))))=>(![X268:$i]:((?[X269:$i]:((in @ X269 @ X268))=>?[X270:$i]:(((in @ X270 @ X268)&~(?[X271:$i]:(((in @ X271 @ X270)&(in @ X271 @ X268))))))))=>((epred1_0)=>((descrp)=>(![X183:$i, X184:$i > $o, X185:$i]:(((in @ X185 @ X183)=>((X184 @ X185)=>(in @ X185 @ (dsetconstr @ X183 @ (^[Z0/* 3 */:$i]:((X184 @ Z0))))))))=>(![X265:$i, X266:$i > $o, X267:$i]:(((in @ X267 @ (dsetconstr @ X265 @ (^[Z0/* 3 */:$i]:((X266 @ Z0)))))=>(in @ X267 @ X265)))=>(![X186:$i, X187:$i > $o, X188:$i]:(((in @ X188 @ (dsetconstr @ X186 @ (^[Z0/* 3 */:$i]:((X187 @ Z0)))))=>(X187 @ X188)))=>(![X189:$i > $o]:((?[X190:$i]:(((X189 @ X190)&![X191:$i]:(((X189 @ X191)=>((X190)=(X191))))))=>?[X192:$i]:(((X189 @ X192)&![X193:$i]:(((X189 @ X193)=>((X192)=(X193))))))))=>(![X194:$o, X195:$i]:(((in @ X195 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X194)))))=>(X194)))=>(![X263:$i]:(((in @ X263 @ emptyset)=>![X264:$o]:((X264))))=>(![X262:$i]:(~(in @ X262 @ emptyset))=>(![X196:$i]:(~(in @ X196 @ emptyset))=>(![X197:$i > $o]:((?[X198:$i]:(((X197 @ X198)&![X199:$i]:(((X197 @ X199)=>((X198)=(X199))))))=>?[X200:$i]:((X197 @ X200))))=>(![X201:$i, X202:$i]:((![X203:$i]:(((in @ X203 @ X201)=>(in @ X203 @ X202)))=>(![X204:$i]:(((in @ X204 @ X202)=>(in @ X204 @ X201)))=>((X201)=(X202)))))=>(![X205:$i]:((![X206:$i]:(~(in @ X206 @ X205))=>((X205)=(emptyset))))=>(![X207:$i]:((![X208:$i]:(~(in @ X208 @ X207))=>((X207)=(emptyset))))=>(![X209:$i, X210:$i > $o, X211:$i]:(((in @ X211 @ X209)=>((in @ X211 @ (dsetconstr @ X209 @ (^[Z0/* 3 */:$i]:((X210 @ Z0)))))<=>(X210 @ X211))))=>(![X260:$i]:((((X260)!=(emptyset))=>?[X261:$i]:((in @ X261 @ X260))))=>(![X257:$i, X258:$i > $o, X259:$i]:(((in @ X259 @ X257)=>((X258 @ X259)=>((dsetconstr @ X257 @ (^[Z0/* 3 */:$i]:((X258 @ Z0))))!=(emptyset)))))=>(![X212:$i]:((?[X213:$i]:((in @ X213 @ X212))=>((X212)!=(emptyset))))=>(![X255:$i, X256:$i]:((in @ X255 @ (setadjoin @ X255 @ X256)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X214:$i, X215:$i, X216:$i]:(((in @ X216 @ X215)=>(in @ X216 @ (setadjoin @ X214 @ X215))))=>(![X217:$i, X218:$i, X219:$i]:(((in @ X219 @ (setadjoin @ X217 @ X218))=>![X220:$o]:(((((X219)=(X217))=>(X220))=>(((in @ X219 @ X218)=>(X220))=>(X220))))))=>(![X252:$i, X253:$i, X254:$i]:(((in @ X254 @ (setadjoin @ X252 @ X253))=>(((X254)=(X252))|(in @ X254 @ X253))))=>(![X251:$i]:(((dsetconstr @ X251 @ (^[Z0/* 3 */:$i]:(($true))))=(X251)))=>(![X221:$i, X222:$i]:((![X223:$i]:(((in @ X223 @ X222)=>(in @ X223 @ X221)))=>(in @ X222 @ (powerset @ X221))))=>(![X224:$i]:((in @ emptyset @ (powerset @ X224)))=>(![X250:$i]:((in @ emptyset @ (powerset @ X250)))=>(![X247:$i, X248:$i, X249:$i]:(((in @ X248 @ (powerset @ X247))=>((in @ X249 @ X248)=>(in @ X249 @ X247))))=>(![X244:$i, X245:$i, X246:$i]:(((in @ X245 @ X246)=>((in @ X246 @ X244)=>(in @ X245 @ (setunion @ X244)))))=>(![X225:$i, X226:$i]:(((in @ X226 @ (setunion @ X225))=>![X227:$o]:((![X228:$i]:(((in @ X226 @ X228)=>((in @ X228 @ X225)=>(X227))))=>(X227)))))=>(![X242:$i, X243:$i]:(((in @ X243 @ X242)=>(in @ X243 @ (powerset @ (setunion @ X242)))))=>(![X237:$i > $o]:((?[X238:$i]:(((X237 @ X238)&![X239:$i]:(((X237 @ X239)=>((X238)=(X239))))))=>?[X240:$i]:(![X241:$i]:(((X237 @ X241)<=>((X241)=(X240)))))))=>(![X235:$i]:((((X235)!=(emptyset))=>?[X236:$i]:((in @ X236 @ X235))))=>(![X229:$i, X230:$i]:(((in @ X229 @ (setadjoin @ X230 @ emptyset))=>((X229)=(X230))))=>(![X233:$i, X234:$i]:((((X233)!=(X234))=>~(in @ X234 @ (setadjoin @ X233 @ emptyset))))=>(![X231:$i, X232:$i]:((((X231)=(X232))=>(in @ X231 @ (setadjoin @ X232 @ emptyset))))=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[singletonsswitch]), notinemptyset]), setextAx]), c_0_57]), c_0_58]), emptysetimpfalse]), emptysetE]), setext]), c_0_59]), foundationAx]), emptyI]), omegaIndAx]), omegaSAx]), omega0Ax]), noeltsimpempty]), powersetAx]), emptysetAx]), c_0_60]), c_0_61]), emptyinunitempty]), setadjoinIR]), setadjoinE]), powersetI]), emptyinPowerset]), setunionE]), uniqinunit]), eqinunit]), notinsingleton]), c_0_62]), c_0_63]), c_0_64]), subPowSU]), setunionI]), powersetE]), emptyInPowerset]), c_0_65]), setadjoinOr]), setadjoinIL]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), wellorderingAx]), c_0_70]), setunionAx]), setadjoinAx])]), c_0_71])). 0.18/0.50 thf(c_0_73, negated_conjecture, ![X283:$i, X284:$i, X286:$i, X287:$i, X288:$i, X289:$i, X290:$i, X291:$i, X292:$i, X293:$i, X294:$i, X296:$i, X297:$i, X299:$i, X300:$i, X301:$i, X302:$i, X303:$i, X305:$i, X306:$i > $i > $o, X307:$i, X309:$i, X312:$i, X314:$i, X315:$i, X316:$i, X317:$i, X319:$i, X320:$i, X321:$i > $o, X322:$i, X323:$i, X324:$i > $o, X325:$i, X326:$i, X327:$i > $o, X328:$i, X329:$i > $o, X330:$i, X333:$i, X334:$o, X335:$i, X336:$i, X337:$o, X338:$i, X339:$i, X340:$i > $o, X341:$i, X344:$i, X345:$i, X348:$i, X350:$i, X352:$i, X353:$i > $o, X354:$i, X355:$i, X357:$i, X358:$i > $o, X359:$i, X360:$i, X361:$i, X362:$i, X363:$i, X364:$i, X365:$i, X366:$i, X367:$i, X368:$i, X369:$i, X370:$o, X371:$i, X372:$i, X373:$i, X374:$i, X375:$i, X376:$i, X378:$i, X379:$i, X380:$i, X381:$i, X382:$i, X383:$i, X384:$i, X385:$i, X386:$i, X387:$i, X388:$o, X390:$i, X391:$i, X392:$i > $o, X393:$i, X396:$i, X397:$i, X398:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i]:((((~(in @ (esk1_2 @ X283 @ X284) @ X283)|~(in @ (esk1_2 @ X283 @ X284) @ X284)|((X283)=(X284)))&((in @ (esk1_2 @ X283 @ X284) @ X283)|(in @ (esk1_2 @ X283 @ X284) @ X284)|((X283)=(X284))))&(~(in @ X286 @ emptyset)&(((~(in @ X289 @ (setadjoin @ X287 @ X288))|(((X289)=(X287))|(in @ X289 @ X288)))&((((X289)!=(X287))|(in @ X289 @ (setadjoin @ X287 @ X288)))&(~(in @ X289 @ X288)|(in @ X289 @ (setadjoin @ X287 @ X288)))))&(((~(in @ X291 @ (powerset @ X290))|(~(in @ X292 @ X291)|(in @ X292 @ X290)))&(((in @ (esk2_2 @ X293 @ X294) @ X294)|(in @ X294 @ (powerset @ X293)))&(~(in @ (esk2_2 @ X293 @ X294) @ X293)|(in @ X294 @ (powerset @ X293)))))&(((((in @ X297 @ (esk3_2 @ X296 @ X297))|~(in @ X297 @ (setunion @ X296)))&((in @ (esk3_2 @ X296 @ X297) @ X296)|~(in @ X297 @ (setunion @ X296))))&(~(in @ X300 @ X301)|~(in @ X301 @ X299)|(in @ X300 @ (setunion @ X299))))&((in @ emptyset @ omega)&((~(in @ X302 @ omega)|(in @ (setadjoin @ X302 @ X302) @ omega))&(((((in @ (esk4_1 @ X303) @ omega)|~(in @ emptyset @ X303)|(~(in @ X305 @ omega)|(in @ X305 @ X303)))&((in @ (esk4_1 @ X303) @ X303)|~(in @ emptyset @ X303)|(~(in @ X305 @ omega)|(in @ X305 @ X303))))&(~(in @ (setadjoin @ (esk4_1 @ X303) @ (esk4_1 @ X303)) @ X303)|~(in @ emptyset @ X303)|(~(in @ X305 @ omega)|(in @ X305 @ X303))))&((((((in @ (esk8_3 @ X306 @ X307 @ X312) @ X307)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|(in @ (esk5_2 @ X306 @ X307) @ X307))&((X306 @ (esk8_3 @ X306 @ X307 @ X312) @ X312)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|(in @ (esk5_2 @ X306 @ X307) @ X307)))&(~(in @ X315 @ X307)|~(X306 @ X315 @ X314)|(in @ X314 @ (esk7_2 @ X306 @ X307))|(in @ (esk5_2 @ X306 @ X307) @ X307)))&(((((in @ (esk8_3 @ X306 @ X307 @ X312) @ X307)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|((X306 @ (esk5_2 @ X306 @ X307) @ (esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309)))&((X306 @ (esk8_3 @ X306 @ X307 @ X312) @ X312)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|((X306 @ (esk5_2 @ X306 @ X307) @ (esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309))))&(~(in @ X315 @ X307)|~(X306 @ X315 @ X314)|(in @ X314 @ (esk7_2 @ X306 @ X307))|((X306 @ (esk5_2 @ X306 @ X307) @ (esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309))))&((((in @ (esk8_3 @ X306 @ X307 @ X312) @ X307)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|(((X309)!=(esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309)))&((X306 @ (esk8_3 @ X306 @ X307 @ X312) @ X312)|~(in @ X312 @ (esk7_2 @ X306 @ X307))|(((X309)!=(esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309))))&(~(in @ X315 @ X307)|~(X306 @ X315 @ X314)|(in @ X314 @ (esk7_2 @ X306 @ X307))|(((X309)!=(esk6_3 @ X306 @ X307 @ X309))|~(X306 @ (esk5_2 @ X306 @ X307) @ X309))))))&((((in @ (esk9_1 @ X316) @ X316)|~(in @ X317 @ X316))&(~(in @ X319 @ (esk9_1 @ X316))|~(in @ X319 @ X316)|~(in @ X317 @ X316)))&((epred1_0)&((descrp)&((~(in @ X322 @ X320)|(~(X321 @ X322)|(in @ X322 @ (dsetconstr @ X320 @ (^[Z0/* 3 */:$i]:((X321 @ Z0)))))))&((~(in @ X325 @ (dsetconstr @ X323 @ (^[Z0/* 3 */:$i]:((X324 @ Z0)))))|(in @ X325 @ X323))&((~(in @ X328 @ (dsetconstr @ X326 @ (^[Z0/* 3 */:$i]:((X327 @ Z0)))))|(X327 @ X328))&(((((X329 @ (esk11_1 @ X329))|((X329 @ (esk10_2 @ X329 @ X330))|~(X329 @ X330)))&(~(X329 @ X333)|((esk11_1 @ X329)=(X333))|((X329 @ (esk10_2 @ X329 @ X330))|~(X329 @ X330))))&(((X329 @ (esk11_1 @ X329))|(((X330)!=(esk10_2 @ X329 @ X330))|~(X329 @ X330)))&(~(X329 @ X333)|((esk11_1 @ X329)=(X333))|(((X330)!=(esk10_2 @ X329 @ X330))|~(X329 @ X330)))))&((~(in @ X335 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X334)))))|(X334))&((~(in @ X336 @ emptyset)|(X337))&(~(in @ X338 @ emptyset)&(~(in @ X339 @ emptyset)&((((X340 @ (esk12_2 @ X340 @ X341))|~(X340 @ X341)|(X340 @ (esk13_1 @ X340)))&(((X341)!=(esk12_2 @ X340 @ X341))|~(X340 @ X341)|(X340 @ (esk13_1 @ X340))))&(((((in @ (esk15_2 @ X344 @ X345) @ X345)|((X344)=(X345))|(in @ (esk14_2 @ X344 @ X345) @ X344))&(~(in @ (esk15_2 @ X344 @ X345) @ X344)|((X344)=(X345))|(in @ (esk14_2 @ X344 @ X345) @ X344)))&(((in @ (esk15_2 @ X344 @ X345) @ X345)|((X344)=(X345))|~(in @ (esk14_2 @ X344 @ X345) @ X345))&(~(in @ (esk15_2 @ X344 @ X345) @ X344)|((X344)=(X345))|~(in @ (esk14_2 @ X344 @ X345) @ X345))))&(((in @ (esk16_1 @ X348) @ X348)|((X348)=(emptyset)))&(((in @ (esk17_1 @ X350) @ X350)|((X350)=(emptyset)))&(((~(in @ X354 @ (dsetconstr @ X352 @ (^[Z0/* 3 */:$i]:((X353 @ Z0)))))|(X353 @ X354)|~(in @ X354 @ X352))&(~(X353 @ X354)|(in @ X354 @ (dsetconstr @ X352 @ (^[Z0/* 3 */:$i]:((X353 @ Z0)))))|~(in @ X354 @ X352)))&((((X355)=(emptyset))|(in @ (esk18_1 @ X355) @ X355))&((~(in @ X359 @ X357)|(~(X358 @ X359)|((dsetconstr @ X357 @ (^[Z0/* 3 */:$i]:((X358 @ Z0))))!=(emptyset))))&((~(in @ X361 @ X360)|((X360)!=(emptyset)))&((in @ X362 @ (setadjoin @ X362 @ X363))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X366 @ X365)|(in @ X366 @ (setadjoin @ X364 @ X365)))&(((((in @ X369 @ X368)|(X370)|((X369)=(X367))|~(in @ X369 @ (setadjoin @ X367 @ X368)))&(~(X370)|(X370)|((X369)=(X367))|~(in @ X369 @ (setadjoin @ X367 @ X368))))&(((in @ X369 @ X368)|(X370)|~(X370)|~(in @ X369 @ (setadjoin @ X367 @ X368)))&(~(X370)|(X370)|~(X370)|~(in @ X369 @ (setadjoin @ X367 @ X368)))))&((~(in @ X373 @ (setadjoin @ X371 @ X372))|(((X373)=(X371))|(in @ X373 @ X372)))&(((dsetconstr @ X374 @ (^[Z0/* 3 */:$i]:(($true))))=(X374))&((((in @ (esk19_2 @ X375 @ X376) @ X376)|(in @ X376 @ (powerset @ X375)))&(~(in @ (esk19_2 @ X375 @ X376) @ X375)|(in @ X376 @ (powerset @ X375))))&((in @ emptyset @ (powerset @ X378))&((in @ emptyset @ (powerset @ X379))&((~(in @ X381 @ (powerset @ X380))|(~(in @ X382 @ X381)|(in @ X382 @ X380)))&((~(in @ X384 @ X385)|(~(in @ X385 @ X383)|(in @ X384 @ (setunion @ X383))))&((((in @ X387 @ (esk20_3 @ X386 @ X387 @ X388))|(X388)|~(in @ X387 @ (setunion @ X386)))&(((in @ (esk20_3 @ X386 @ X387 @ X388) @ X386)|(X388)|~(in @ X387 @ (setunion @ X386)))&(~(X388)|(X388)|~(in @ X387 @ (setunion @ X386)))))&((~(in @ X391 @ X390)|(in @ X391 @ (powerset @ (setunion @ X390))))&((((~(X392 @ X396)|((X396)=(esk22_1 @ X392))|((X392 @ (esk21_2 @ X392 @ X393))|~(X392 @ X393)))&(((X397)!=(esk22_1 @ X392))|(X392 @ X397)|((X392 @ (esk21_2 @ X392 @ X393))|~(X392 @ X393))))&((~(X392 @ X396)|((X396)=(esk22_1 @ X392))|(((X393)!=(esk21_2 @ X392 @ X393))|~(X392 @ X393)))&(((X397)!=(esk22_1 @ X392))|(X392 @ X397)|(((X393)!=(esk21_2 @ X392 @ X393))|~(X392 @ X393)))))&((((X398)=(emptyset))|(in @ (esk23_1 @ X398) @ X398))&((~(in @ X400 @ (setadjoin @ X401 @ emptyset))|((X400)=(X401)))&((((X402)=(X403))|~(in @ X403 @ (setadjoin @ X402 @ emptyset)))&((((X404)!=(X405))|(in @ X404 @ (setadjoin @ X405 @ emptyset)))&((in @ esk24_0 @ (setadjoin @ esk25_0 @ emptyset))&~(in @ esk25_0 @ (setadjoin @ esk24_0 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))), 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_72])])])])])])). 0.18/0.50 thf(c_0_74, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_73])). 0.18/0.50 thf(c_0_75, negated_conjecture, (in @ esk24_0 @ (setadjoin @ esk25_0 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_73])). 0.18/0.50 thf(c_0_76, negated_conjecture, ~((in @ esk25_0 @ (setadjoin @ esk24_0 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_73])). 0.18/0.50 thf(c_0_77, negated_conjecture, ((esk25_0)=(esk24_0)), inference(spm,[status(thm)],[c_0_74, c_0_75])). 0.18/0.50 thf(c_0_78, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_73])). 0.18/0.50 thf(c_0_79, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77]), c_0_78])]), ['proof']). 0.18/0.50 # SZS output end CNFRefutation 0.18/0.50 # Parsed axioms : 107 0.18/0.50 # Removed by relevancy pruning/SinE : 58 0.18/0.50 # Initial clauses : 96 0.18/0.50 # Removed in clause preprocessing : 4 0.18/0.50 # Initial clauses in saturation : 92 0.18/0.50 # Processed clauses : 118 0.18/0.50 # ...of these trivial : 1 0.18/0.50 # ...subsumed : 14 0.18/0.50 # ...remaining for further processing : 103 0.18/0.50 # Other redundant clauses eliminated : 6 0.18/0.50 # Clauses deleted for lack of memory : 0 0.18/0.50 # Backward-subsumed : 0 0.18/0.50 # Backward-rewritten : 3 0.18/0.50 # Generated clauses : 18 0.18/0.50 # ...of the previous two non-redundant : 15 0.18/0.50 # ...aggressively subsumed : 0 0.18/0.50 # Contextual simplify-reflections : 0 0.18/0.50 # Paramodulations : 12 0.18/0.50 # Factorizations : 0 0.18/0.50 # NegExts : 0 0.18/0.50 # Equation resolutions : 6 0.18/0.50 # Total rewrite steps : 20 0.18/0.50 # Propositional unsat checks : 0 0.18/0.50 # Propositional check models : 0 0.18/0.50 # Propositional check unsatisfiable : 0 0.18/0.50 # Propositional clauses : 0 0.18/0.50 # Propositional clauses after purity: 0 0.18/0.50 # Propositional unsat core size : 0 0.18/0.50 # Propositional preprocessing time : 0.000 0.18/0.50 # Propositional encoding time : 0.000 0.18/0.50 # Propositional solver time : 0.000 0.18/0.50 # Success case prop preproc time : 0.000 0.18/0.50 # Success case prop encoding time : 0.000 0.18/0.50 # Success case prop solver time : 0.000 0.18/0.50 # Current number of processed clauses : 19 0.18/0.50 # Positive orientable unit clauses : 9 0.18/0.50 # Positive unorientable unit clauses: 0 0.18/0.50 # Negative unit clauses : 1 0.18/0.50 # Non-unit-clauses : 9 0.18/0.50 # Current number of unprocessed clauses: 65 0.18/0.50 # ...number of literals in the above : 205 0.18/0.50 # Current number of archived formulas : 0 0.18/0.50 # Current number of archived clauses : 79 0.18/0.50 # Clause-clause subsumption calls (NU) : 1790 0.18/0.50 # Rec. Clause-clause subsumption calls : 791 0.18/0.50 # Non-unit clause-clause subsumptions : 11 0.18/0.50 # Unit Clause-clause subsumption calls : 12 0.18/0.50 # Rewrite failures with RHS unbound : 0 0.18/0.50 # BW rewrite match attempts : 10 0.18/0.50 # BW rewrite match successes : 3 0.18/0.50 # Condensation attempts : 118 0.18/0.50 # Condensation successes : 3 0.18/0.50 # Termbank termtop insertions : 12649 0.18/0.50 0.18/0.50 # ------------------------------------------------- 0.18/0.50 # User time : 0.019 s 0.18/0.50 # System time : 0.006 s 0.18/0.50 # Total time : 0.025 s 0.18/0.50 # Maximum resident set size: 3004 pages 0.18/0.50 0.18/0.50 # ------------------------------------------------- 0.18/0.50 # User time : 0.021 s 0.18/0.50 # System time : 0.010 s 0.18/0.50 # Total time : 0.031 s 0.18/0.50 # Maximum resident set size: 1836 pages 0.18/0.50 % E---3.1 exiting 0.18/0.50 EOF