0.07/0.13 % Problem : Vampire---4.8_24634 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_E %s %d THM 0.15/0.35 % Computer : n028.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 13:13:59 EDT 2023 0.15/0.36 % CPUTime : 0.22/0.49 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.B0ZH5vsI19/Vampire---4.8_24634 0.22/0.49 # Version: 3.1pre001-ho 0.35/0.52 # Preprocessing class: HSMSSLSSMLLCHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.35/0.52 # Starting new_ho_10 with 900s (5) cores 0.35/0.52 # Starting sh5l with 180s (1) cores 0.35/0.52 # Starting new_bool_1 with 180s (1) cores 0.35/0.52 # Starting new_bool_2 with 180s (1) cores 0.35/0.52 # new_bool_2 with pid 24815 completed with status 0 0.35/0.52 # Result found by new_bool_2 0.35/0.52 # Preprocessing class: HSMSSLSSMLLCHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.35/0.52 # Starting new_ho_10 with 900s (5) cores 0.35/0.52 # Starting sh5l with 180s (1) cores 0.35/0.52 # Starting new_bool_1 with 180s (1) cores 0.35/0.52 # Starting new_bool_2 with 180s (1) cores 0.35/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.35/0.52 # Search class: HGHSM-FFMS31-SHFSMSBN 0.35/0.52 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.35/0.52 # Starting new_ho_10 with 109s (1) cores 0.35/0.52 # new_ho_10 with pid 24816 completed with status 0 0.35/0.52 # Result found by new_ho_10 0.35/0.52 # Preprocessing class: HSMSSLSSMLLCHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.35/0.52 # Starting new_ho_10 with 900s (5) cores 0.35/0.52 # Starting sh5l with 180s (1) cores 0.35/0.52 # Starting new_bool_1 with 180s (1) cores 0.35/0.52 # Starting new_bool_2 with 180s (1) cores 0.35/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.35/0.52 # Search class: HGHSM-FFMS31-SHFSMSBN 0.35/0.52 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.35/0.52 # Starting new_ho_10 with 109s (1) cores 0.35/0.52 # Preprocessing time : 0.004 s 0.35/0.52 # Presaturation interreduction done 0.35/0.52 0.35/0.52 # Proof found! 0.35/0.52 # SZS status Theorem 0.35/0.52 # SZS output start CNFRefutation 0.35/0.52 thf(decl_22, type, in: $i > $i > $o). 0.35/0.52 thf(decl_23, type, exu: ($i > $o) > $o). 0.35/0.52 thf(decl_24, type, setextAx: $o). 0.35/0.52 thf(decl_25, type, emptyset: $i). 0.35/0.52 thf(decl_26, type, emptysetAx: $o). 0.35/0.52 thf(decl_27, type, setadjoin: $i > $i > $i). 0.35/0.52 thf(decl_28, type, setadjoinAx: $o). 0.35/0.52 thf(decl_29, type, powerset: $i > $i). 0.35/0.52 thf(decl_30, type, powersetAx: $o). 0.35/0.52 thf(decl_31, type, setunion: $i > $i). 0.35/0.52 thf(decl_32, type, setunionAx: $o). 0.35/0.52 thf(decl_33, type, omega: $i). 0.35/0.52 thf(decl_34, type, omega0Ax: $o). 0.35/0.52 thf(decl_35, type, omegaSAx: $o). 0.35/0.52 thf(decl_36, type, omegaIndAx: $o). 0.35/0.52 thf(decl_37, type, replAx: $o). 0.35/0.52 thf(decl_38, type, foundationAx: $o). 0.35/0.52 thf(decl_39, type, wellorderingAx: $o). 0.35/0.52 thf(decl_41, type, descrp: $o). 0.35/0.52 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.35/0.52 thf(decl_43, type, dsetconstrI: $o). 0.35/0.52 thf(decl_44, type, dsetconstrEL: $o). 0.35/0.52 thf(decl_45, type, dsetconstrER: $o). 0.35/0.52 thf(decl_46, type, exuE1: $o). 0.35/0.52 thf(decl_47, type, prop2set: $o > $i). 0.35/0.52 thf(decl_48, type, prop2setE: $o). 0.35/0.52 thf(decl_49, type, emptysetE: $o). 0.35/0.52 thf(decl_50, type, emptysetimpfalse: $o). 0.35/0.52 thf(decl_51, type, notinemptyset: $o). 0.35/0.52 thf(decl_52, type, exuE3e: $o). 0.35/0.52 thf(decl_53, type, setext: $o). 0.35/0.52 thf(decl_54, type, emptyI: $o). 0.35/0.52 thf(decl_55, type, noeltsimpempty: $o). 0.35/0.52 thf(decl_56, type, setbeta: $o). 0.35/0.52 thf(decl_57, type, nonempty: $i > $o). 0.35/0.52 thf(decl_58, type, nonemptyE1: $o). 0.35/0.52 thf(decl_59, type, nonemptyI: $o). 0.35/0.52 thf(decl_60, type, nonemptyI1: $o). 0.35/0.52 thf(decl_61, type, setadjoinIL: $o). 0.35/0.52 thf(decl_62, type, emptyinunitempty: $o). 0.35/0.52 thf(decl_63, type, setadjoinIR: $o). 0.35/0.52 thf(decl_64, type, setadjoinE: $o). 0.35/0.52 thf(decl_65, type, setadjoinOr: $o). 0.35/0.52 thf(decl_66, type, setoftrueEq: $o). 0.35/0.52 thf(decl_67, type, powersetI: $o). 0.35/0.52 thf(decl_68, type, emptyinPowerset: $o). 0.35/0.52 thf(decl_69, type, emptyInPowerset: $o). 0.35/0.52 thf(decl_70, type, powersetE: $o). 0.35/0.52 thf(decl_71, type, setunionI: $o). 0.35/0.52 thf(decl_72, type, setunionE: $o). 0.35/0.52 thf(decl_73, type, subPowSU: $o). 0.35/0.52 thf(decl_74, type, exuE2: $o). 0.35/0.52 thf(decl_75, type, nonemptyImpWitness: $o). 0.35/0.52 thf(decl_76, type, uniqinunit: $o). 0.35/0.52 thf(decl_77, type, epred1_0: $o). 0.35/0.52 thf(decl_78, type, esk1_2: $i > $i > $i). 0.35/0.52 thf(decl_79, type, esk2_2: $i > $i > $i). 0.35/0.52 thf(decl_80, type, esk3_2: $i > $i > $i). 0.35/0.52 thf(decl_81, type, esk4_1: $i > $i). 0.35/0.52 thf(decl_82, type, esk5_2: ($i > $i > $o) > $i > $i). 0.35/0.52 thf(decl_83, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.35/0.52 thf(decl_84, type, esk7_2: ($i > $i > $o) > $i > $i). 0.35/0.52 thf(decl_85, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.35/0.52 thf(decl_86, type, esk9_1: $i > $i). 0.35/0.52 thf(decl_87, type, esk10_2: ($i > $o) > $i > $i). 0.35/0.52 thf(decl_88, type, esk11_1: ($i > $o) > $i). 0.35/0.52 thf(decl_89, type, esk12_2: ($i > $o) > $i > $i). 0.35/0.52 thf(decl_90, type, esk13_1: ($i > $o) > $i). 0.35/0.52 thf(decl_91, type, esk14_2: $i > $i > $i). 0.35/0.52 thf(decl_92, type, esk15_2: $i > $i > $i). 0.35/0.52 thf(decl_93, type, esk16_1: $i > $i). 0.35/0.52 thf(decl_94, type, esk17_1: $i > $i). 0.35/0.52 thf(decl_95, type, esk18_1: $i > $i). 0.35/0.52 thf(decl_96, type, esk19_2: $i > $i > $i). 0.35/0.52 thf(decl_97, type, esk20_3: $i > $i > $o > $i). 0.35/0.52 thf(decl_98, type, esk21_2: ($i > $o) > $i > $i). 0.35/0.52 thf(decl_99, type, esk22_1: ($i > $o) > $i). 0.35/0.52 thf(decl_100, type, esk23_1: $i > $i). 0.35/0.52 thf(decl_101, type, esk24_0: $i). 0.35/0.52 thf(decl_102, type, esk25_0: $i). 0.35/0.52 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', nonemptyI)). 0.35/0.52 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', nonempty)). 0.35/0.52 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', replAx)). 0.35/0.52 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', exu)). 0.35/0.52 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', exuE3e)). 0.35/0.52 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', exuE1)). 0.35/0.52 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', prop2set)). 0.35/0.52 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.B0ZH5vsI19/Vampire---4.8_24634', exuE2)). 0.35/0.52 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', dsetconstrI)). 0.35/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', dsetconstrER)). 0.35/0.52 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', prop2setE)). 0.35/0.52 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setbeta)). 0.35/0.52 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', nonemptyE1)). 0.35/0.52 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', nonemptyI1)). 0.35/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', dsetconstrEL)). 0.35/0.52 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', nonemptyImpWitness)). 0.35/0.52 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setoftrueEq)). 0.35/0.52 thf(notinsingleton, conjecture, (((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>(((omegaSAx)=>((omegaIndAx)=>((replAx)=>((((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>(((((notinemptyset)=>(((setext)=>((((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((((setunionE)=>((((nonemptyImpWitness)=>(![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))<=(uniqinunit)))<=(exuE2))<=(subPowSU)))<=(setunionI))<=(powersetE)))))<=(setoftrueEq))<=(setadjoinOr)))<=(setadjoinIR)))))<=(nonemptyI))))<=(noeltsimpempty))<=(emptyI)))<=(exuE3e)))<=(emptysetimpfalse))<=(emptysetE))<=(prop2setE)))))))<=(wellorderingAx))<=(foundationAx)))))<=(omega0Ax))))))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', notinsingleton)). 0.35/0.52 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setextAx)). 0.35/0.52 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', noeltsimpempty)). 0.35/0.52 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptyI)). 0.35/0.52 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptysetimpfalse)). 0.35/0.52 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptysetE)). 0.35/0.52 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', notinemptyset)). 0.35/0.52 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.B0ZH5vsI19/Vampire---4.8_24634', wellorderingAx)). 0.35/0.52 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.B0ZH5vsI19/Vampire---4.8_24634', foundationAx)). 0.35/0.52 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', omega0Ax)). 0.35/0.52 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.B0ZH5vsI19/Vampire---4.8_24634', setext)). 0.35/0.52 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setadjoinIL)). 0.35/0.52 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptyinunitempty)). 0.35/0.52 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/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setadjoinE)). 0.35/0.52 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', powersetI)). 0.35/0.52 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptyinPowerset)). 0.35/0.52 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptyInPowerset)). 0.35/0.52 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setunionE)). 0.35/0.52 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', uniqinunit)). 0.35/0.52 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', subPowSU)). 0.35/0.52 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setunionI)). 0.35/0.52 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', powersetE)). 0.35/0.52 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setadjoinOr)). 0.35/0.52 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setadjoinIR)). 0.35/0.52 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.B0ZH5vsI19/Vampire---4.8_24634', omegaIndAx)). 0.35/0.52 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', omegaSAx)). 0.35/0.52 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setunionAx)). 0.35/0.52 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', powersetAx)). 0.35/0.52 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', setadjoinAx)). 0.35/0.52 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.B0ZH5vsI19/Vampire---4.8_24634', emptysetAx)). 0.35/0.52 thf(c_0_47, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.35/0.52 thf(c_0_48, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.35/0.52 thf(c_0_49, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.35/0.52 thf(c_0_50, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.35/0.52 thf(c_0_51, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.35/0.52 thf(c_0_52, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.35/0.52 thf(c_0_53, plain, ((prop2set)=(^[Z0/* 42 */:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1/* 3 */:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.35/0.52 thf(c_0_54, 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])). 0.35/0.52 thf(c_0_55, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.35/0.52 thf(c_0_56, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_48])). 0.35/0.52 thf(c_0_57, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X138:$i]:((((X6 @ X2 @ X138))&![X139:$i]:((((X6 @ X2 @ X139))=>((X138)=(X139)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_49, c_0_50])). 0.35/0.52 thf(c_0_58, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.35/0.52 thf(c_0_59, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X142:$i]:((((X1 @ X142))&![X143:$i]:((((X1 @ X143))=>((X142)=(X143)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_51, c_0_50])). 0.35/0.52 thf(c_0_60, plain, ((exuE1)=(![X1:$i > $o]:(((?[X140:$i]:((((X1 @ X140))&![X141:$i]:((((X1 @ X141))=>((X140)=(X141)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_52, c_0_50])). 0.35/0.52 thf(c_0_61, axiom, ((prop2setE)=(![X11:$o, X2:$i]:(((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:(((X11))))))=>(X11))))), inference(apply_def,[status(thm)],[prop2setE, c_0_53])). 0.35/0.52 thf(c_0_62, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.35/0.52 thf(c_0_63, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_48])). 0.35/0.52 thf(c_0_64, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_48])). 0.35/0.52 thf(c_0_65, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.35/0.52 thf(c_0_66, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_48])). 0.35/0.52 thf(c_0_67, plain, ((exuE2)=(![X1:$i > $o]:(((?[X144:$i]:((((X1 @ X144))&![X145:$i]:((((X1 @ X145))=>((X144)=(X145)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_54, c_0_50])). 0.35/0.52 thf(c_0_68, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.35/0.52 thf(c_0_69, plain, ((epred1_0)<=>![X249:$i]:(?[X250:$i]:((((![X251:$i]:(((in @ X251 @ X250)=>![X252:$i]:(((in @ X252 @ X251)=>(in @ X252 @ X249)))))&![X253:$i, X254:$i]:((((in @ X253 @ X249)&(in @ X254 @ X249))=>(![X255:$i]:(((in @ X255 @ X250)=>((in @ X253 @ X255)<=>(in @ X254 @ X255))))=>((X253)=(X254))))))&![X256:$i, X257:$i]:((((in @ X256 @ X250)&(in @ X257 @ X250))=>(![X258:$i]:(((in @ X258 @ X256)=>(in @ X258 @ X257)))|![X259:$i]:(((in @ X259 @ X257)=>(in @ X259 @ X256)))))))&![X260:$i]:(((![X261:$i]:(((in @ X261 @ X260)=>(in @ X261 @ X249)))&?[X262:$i]:((in @ X262 @ X260)))=>?[X263:$i, X264:$i]:(((((in @ X263 @ X250)&(in @ X264 @ X260))&~(?[X265:$i]:(((in @ X265 @ X263)&(in @ X265 @ X260)))))&![X266:$i]:(((in @ X266 @ X250)=>(![X267:$i]:(((in @ X267 @ X266)=>(in @ X267 @ X263)))|(in @ X264 @ X266)))))))))))), introduced(definition)). 0.35/0.52 thf(c_0_70, negated_conjecture, ~((![X272:$i, X273:$i]:((![X274:$i]:(((in @ X274 @ X272)<=>(in @ X274 @ X273)))=>((X272)=(X273))))=>(![X146:$i]:(~(in @ X146 @ emptyset))=>(![X147:$i, X148:$i, X149:$i]:(((in @ X149 @ (setadjoin @ X147 @ X148))<=>(((X149)=(X147))|(in @ X149 @ X148))))=>(![X150:$i, X151:$i]:(((in @ X151 @ (powerset @ X150))<=>![X152:$i]:(((in @ X152 @ X151)=>(in @ X152 @ X150)))))=>(![X153:$i, X154:$i]:(((in @ X154 @ (setunion @ X153))<=>?[X155:$i]:(((in @ X154 @ X155)&(in @ X155 @ X153)))))=>((in @ emptyset @ omega)=>(![X156:$i]:(((in @ X156 @ omega)=>(in @ (setadjoin @ X156 @ X156) @ omega)))=>(![X157:$i]:((((in @ emptyset @ X157)&![X158:$i]:((((in @ X158 @ omega)&(in @ X158 @ X157))=>(in @ (setadjoin @ X158 @ X158) @ X157))))=>![X159:$i]:(((in @ X159 @ omega)=>(in @ X159 @ X157)))))=>(![X160:$i > $i > $o, X161:$i]:((![X162:$i]:(((in @ X162 @ X161)=>?[X163:$i]:(((X160 @ X162 @ X163)&![X164:$i]:(((X160 @ X162 @ X164)=>((X163)=(X164))))))))=>?[X165:$i]:(![X166:$i]:(((in @ X166 @ X165)<=>?[X167:$i]:(((in @ X167 @ X161)&(X160 @ X167 @ X166))))))))=>(![X268:$i]:((?[X269:$i]:((in @ X269 @ X268))=>?[X270:$i]:(((in @ X270 @ X268)&~(?[X271:$i]:(((in @ X271 @ X270)&(in @ X271 @ X268))))))))=>((epred1_0)=>((descrp)=>(![X168:$i, X169:$i > $o, X170:$i]:(((in @ X170 @ X168)=>((X169 @ X170)=>(in @ X170 @ (dsetconstr @ X168 @ (^[Z0/* 3 */:$i]:((X169 @ Z0))))))))=>(![X171:$i, X172:$i > $o, X173:$i]:(((in @ X173 @ (dsetconstr @ X171 @ (^[Z0/* 3 */:$i]:((X172 @ Z0)))))=>(in @ X173 @ X171)))=>(![X174:$i, X175:$i > $o, X176:$i]:(((in @ X176 @ (dsetconstr @ X174 @ (^[Z0/* 3 */:$i]:((X175 @ Z0)))))=>(X175 @ X176)))=>(![X177:$i > $o]:((?[X178:$i]:(((X177 @ X178)&![X179:$i]:(((X177 @ X179)=>((X178)=(X179))))))=>?[X180:$i]:(((X177 @ X180)&![X181:$i]:(((X177 @ X181)=>((X180)=(X181))))))))=>(![X247:$o, X248:$i]:(((in @ X248 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X247)))))=>(X247)))=>(![X245:$i]:(((in @ X245 @ emptyset)=>![X246:$o]:((X246))))=>(![X244:$i]:(~(in @ X244 @ emptyset))=>(![X182:$i]:(~(in @ X182 @ emptyset))=>(![X240:$i > $o]:((?[X241:$i]:(((X240 @ X241)&![X242:$i]:(((X240 @ X242)=>((X241)=(X242))))))=>?[X243:$i]:((X240 @ X243))))=>(![X183:$i, X184:$i]:((![X185:$i]:(((in @ X185 @ X183)=>(in @ X185 @ X184)))=>(![X186:$i]:(((in @ X186 @ X184)=>(in @ X186 @ X183)))=>((X183)=(X184)))))=>(![X238:$i]:((![X239:$i]:(~(in @ X239 @ X238))=>((X238)=(emptyset))))=>(![X236:$i]:((![X237:$i]:(~(in @ X237 @ X236))=>((X236)=(emptyset))))=>(![X187:$i, X188:$i > $o, X189:$i]:(((in @ X189 @ X187)=>((in @ X189 @ (dsetconstr @ X187 @ (^[Z0/* 3 */:$i]:((X188 @ Z0)))))<=>(X188 @ X189))))=>(![X190:$i]:((((X190)!=(emptyset))=>?[X191:$i]:((in @ X191 @ X190))))=>(![X233:$i, X234:$i > $o, X235:$i]:(((in @ X235 @ X233)=>((X234 @ X235)=>((dsetconstr @ X233 @ (^[Z0/* 3 */:$i]:((X234 @ Z0))))!=(emptyset)))))=>(![X192:$i]:((?[X193:$i]:((in @ X193 @ X192))=>((X192)!=(emptyset))))=>(![X194:$i, X195:$i]:((in @ X194 @ (setadjoin @ X194 @ X195)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X230:$i, X231:$i, X232:$i]:(((in @ X232 @ X231)=>(in @ X232 @ (setadjoin @ X230 @ X231))))=>(![X196:$i, X197:$i, X198:$i]:(((in @ X198 @ (setadjoin @ X196 @ X197))=>![X199:$o]:(((((X198)=(X196))=>(X199))=>(((in @ X198 @ X197)=>(X199))=>(X199))))))=>(![X227:$i, X228:$i, X229:$i]:(((in @ X229 @ (setadjoin @ X227 @ X228))=>(((X229)=(X227))|(in @ X229 @ X228))))=>(![X226:$i]:(((dsetconstr @ X226 @ (^[Z0/* 3 */:$i]:(($true))))=(X226)))=>(![X200:$i, X201:$i]:((![X202:$i]:(((in @ X202 @ X201)=>(in @ X202 @ X200)))=>(in @ X201 @ (powerset @ X200))))=>(![X203:$i]:((in @ emptyset @ (powerset @ X203)))=>(![X204:$i]:((in @ emptyset @ (powerset @ X204)))=>(![X223:$i, X224:$i, X225:$i]:(((in @ X224 @ (powerset @ X223))=>((in @ X225 @ X224)=>(in @ X225 @ X223))))=>(![X220:$i, X221:$i, X222:$i]:(((in @ X221 @ X222)=>((in @ X222 @ X220)=>(in @ X221 @ (setunion @ X220)))))=>(![X205:$i, X206:$i]:(((in @ X206 @ (setunion @ X205))=>![X207:$o]:((![X208:$i]:(((in @ X206 @ X208)=>((in @ X208 @ X205)=>(X207))))=>(X207)))))=>(![X218:$i, X219:$i]:(((in @ X219 @ X218)=>(in @ X219 @ (powerset @ (setunion @ X218)))))=>(![X213:$i > $o]:((?[X214:$i]:(((X213 @ X214)&![X215:$i]:(((X213 @ X215)=>((X214)=(X215))))))=>?[X216:$i]:(![X217:$i]:(((X213 @ X217)<=>((X217)=(X216)))))))=>(![X209:$i]:((((X209)!=(emptyset))=>?[X210:$i]:((in @ X210 @ X209))))=>(![X211:$i, X212:$i]:(((in @ X211 @ (setadjoin @ X212 @ emptyset))=>((X211)=(X212))))=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~(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(assume_negation,[status(cth)],[notinsingleton]), c_0_55]), setextAx]), c_0_56]), c_0_57]), noeltsimpempty]), c_0_58]), emptyI]), c_0_59]), emptysetimpfalse]), c_0_60]), emptysetE]), c_0_61]), notinemptyset]), wellorderingAx]), foundationAx]), omega0Ax]), setext]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), setadjoinIL]), emptyinunitempty]), setadjoinE]), powersetI]), emptyinPowerset]), emptyInPowerset]), setunionE]), c_0_66]), uniqinunit]), c_0_67]), subPowSU]), setunionI]), powersetE]), c_0_68]), setadjoinOr]), setadjoinIR]), omegaIndAx]), omegaSAx]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx])]), c_0_69])). 0.35/0.52 thf(c_0_71, negated_conjecture, ![X275:$i, X276:$i, X278:$i, X279:$i, X280:$i, X281:$i, X282:$i, X283:$i, X284:$i, X285:$i, X286:$i, X288:$i, X289:$i, X291:$i, X292:$i, X293:$i, X294:$i, X295:$i, X297:$i, X298:$i > $i > $o, X299:$i, X301:$i, X304:$i, X306:$i, X307:$i, X308:$i, X309:$i, X311:$i, X312:$i, X313:$i > $o, X314:$i, X315:$i, X316:$i > $o, X317:$i, X318:$i, X319:$i > $o, X320:$i, X321:$i > $o, X322:$i, X325:$i, X326:$o, X327:$i, X328:$i, X329:$o, X330:$i, X331:$i, X332:$i > $o, X333:$i, X336:$i, X337:$i, X340:$i, X342:$i, X344:$i, X345:$i > $o, X346:$i, X347:$i, X349:$i, X350:$i > $o, X351:$i, X352:$i, X353:$i, X354:$i, X355:$i, X356:$i, X357:$i, X358:$i, X359:$i, X360:$i, X361:$i, X362:$o, X363:$i, X364:$i, X365:$i, X366:$i, X367:$i, X368:$i, X370:$i, X371:$i, X372:$i, X373:$i, X374:$i, X375:$i, X376:$i, X377:$i, X378:$i, X379:$i, X380:$o, X382:$i, X383:$i, X384:$i > $o, X385:$i, X388:$i, X389:$i, X390:$i, X392:$i, X393:$i]:((((~(in @ (esk1_2 @ X275 @ X276) @ X275)|~(in @ (esk1_2 @ X275 @ X276) @ X276)|((X275)=(X276)))&((in @ (esk1_2 @ X275 @ X276) @ X275)|(in @ (esk1_2 @ X275 @ X276) @ X276)|((X275)=(X276))))&(~(in @ X278 @ emptyset)&(((~(in @ X281 @ (setadjoin @ X279 @ X280))|(((X281)=(X279))|(in @ X281 @ X280)))&((((X281)!=(X279))|(in @ X281 @ (setadjoin @ X279 @ X280)))&(~(in @ X281 @ X280)|(in @ X281 @ (setadjoin @ X279 @ X280)))))&(((~(in @ X283 @ (powerset @ X282))|(~(in @ X284 @ X283)|(in @ X284 @ X282)))&(((in @ (esk2_2 @ X285 @ X286) @ X286)|(in @ X286 @ (powerset @ X285)))&(~(in @ (esk2_2 @ X285 @ X286) @ X285)|(in @ X286 @ (powerset @ X285)))))&(((((in @ X289 @ (esk3_2 @ X288 @ X289))|~(in @ X289 @ (setunion @ X288)))&((in @ (esk3_2 @ X288 @ X289) @ X288)|~(in @ X289 @ (setunion @ X288))))&(~(in @ X292 @ X293)|~(in @ X293 @ X291)|(in @ X292 @ (setunion @ X291))))&((in @ emptyset @ omega)&((~(in @ X294 @ omega)|(in @ (setadjoin @ X294 @ X294) @ omega))&(((((in @ (esk4_1 @ X295) @ omega)|~(in @ emptyset @ X295)|(~(in @ X297 @ omega)|(in @ X297 @ X295)))&((in @ (esk4_1 @ X295) @ X295)|~(in @ emptyset @ X295)|(~(in @ X297 @ omega)|(in @ X297 @ X295))))&(~(in @ (setadjoin @ (esk4_1 @ X295) @ (esk4_1 @ X295)) @ X295)|~(in @ emptyset @ X295)|(~(in @ X297 @ omega)|(in @ X297 @ X295))))&((((((in @ (esk8_3 @ X298 @ X299 @ X304) @ X299)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|(in @ (esk5_2 @ X298 @ X299) @ X299))&((X298 @ (esk8_3 @ X298 @ X299 @ X304) @ X304)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|(in @ (esk5_2 @ X298 @ X299) @ X299)))&(~(in @ X307 @ X299)|~(X298 @ X307 @ X306)|(in @ X306 @ (esk7_2 @ X298 @ X299))|(in @ (esk5_2 @ X298 @ X299) @ X299)))&(((((in @ (esk8_3 @ X298 @ X299 @ X304) @ X299)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|((X298 @ (esk5_2 @ X298 @ X299) @ (esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301)))&((X298 @ (esk8_3 @ X298 @ X299 @ X304) @ X304)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|((X298 @ (esk5_2 @ X298 @ X299) @ (esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301))))&(~(in @ X307 @ X299)|~(X298 @ X307 @ X306)|(in @ X306 @ (esk7_2 @ X298 @ X299))|((X298 @ (esk5_2 @ X298 @ X299) @ (esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301))))&((((in @ (esk8_3 @ X298 @ X299 @ X304) @ X299)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|(((X301)!=(esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301)))&((X298 @ (esk8_3 @ X298 @ X299 @ X304) @ X304)|~(in @ X304 @ (esk7_2 @ X298 @ X299))|(((X301)!=(esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301))))&(~(in @ X307 @ X299)|~(X298 @ X307 @ X306)|(in @ X306 @ (esk7_2 @ X298 @ X299))|(((X301)!=(esk6_3 @ X298 @ X299 @ X301))|~(X298 @ (esk5_2 @ X298 @ X299) @ X301))))))&((((in @ (esk9_1 @ X308) @ X308)|~(in @ X309 @ X308))&(~(in @ X311 @ (esk9_1 @ X308))|~(in @ X311 @ X308)|~(in @ X309 @ X308)))&((epred1_0)&((descrp)&((~(in @ X314 @ X312)|(~(X313 @ X314)|(in @ X314 @ (dsetconstr @ X312 @ (^[Z0/* 3 */:$i]:((X313 @ Z0)))))))&((~(in @ X317 @ (dsetconstr @ X315 @ (^[Z0/* 3 */:$i]:((X316 @ Z0)))))|(in @ X317 @ X315))&((~(in @ X320 @ (dsetconstr @ X318 @ (^[Z0/* 3 */:$i]:((X319 @ Z0)))))|(X319 @ X320))&(((((X321 @ (esk11_1 @ X321))|((X321 @ (esk10_2 @ X321 @ X322))|~(X321 @ X322)))&(~(X321 @ X325)|((esk11_1 @ X321)=(X325))|((X321 @ (esk10_2 @ X321 @ X322))|~(X321 @ X322))))&(((X321 @ (esk11_1 @ X321))|(((X322)!=(esk10_2 @ X321 @ X322))|~(X321 @ X322)))&(~(X321 @ X325)|((esk11_1 @ X321)=(X325))|(((X322)!=(esk10_2 @ X321 @ X322))|~(X321 @ X322)))))&((~(in @ X327 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X326)))))|(X326))&((~(in @ X328 @ emptyset)|(X329))&(~(in @ X330 @ emptyset)&(~(in @ X331 @ emptyset)&((((X332 @ (esk12_2 @ X332 @ X333))|~(X332 @ X333)|(X332 @ (esk13_1 @ X332)))&(((X333)!=(esk12_2 @ X332 @ X333))|~(X332 @ X333)|(X332 @ (esk13_1 @ X332))))&(((((in @ (esk15_2 @ X336 @ X337) @ X337)|((X336)=(X337))|(in @ (esk14_2 @ X336 @ X337) @ X336))&(~(in @ (esk15_2 @ X336 @ X337) @ X336)|((X336)=(X337))|(in @ (esk14_2 @ X336 @ X337) @ X336)))&(((in @ (esk15_2 @ X336 @ X337) @ X337)|((X336)=(X337))|~(in @ (esk14_2 @ X336 @ X337) @ X337))&(~(in @ (esk15_2 @ X336 @ X337) @ X336)|((X336)=(X337))|~(in @ (esk14_2 @ X336 @ X337) @ X337))))&(((in @ (esk16_1 @ X340) @ X340)|((X340)=(emptyset)))&(((in @ (esk17_1 @ X342) @ X342)|((X342)=(emptyset)))&(((~(in @ X346 @ (dsetconstr @ X344 @ (^[Z0/* 3 */:$i]:((X345 @ Z0)))))|(X345 @ X346)|~(in @ X346 @ X344))&(~(X345 @ X346)|(in @ X346 @ (dsetconstr @ X344 @ (^[Z0/* 3 */:$i]:((X345 @ Z0)))))|~(in @ X346 @ X344)))&((((X347)=(emptyset))|(in @ (esk18_1 @ X347) @ X347))&((~(in @ X351 @ X349)|(~(X350 @ X351)|((dsetconstr @ X349 @ (^[Z0/* 3 */:$i]:((X350 @ Z0))))!=(emptyset))))&((~(in @ X353 @ X352)|((X352)!=(emptyset)))&((in @ X354 @ (setadjoin @ X354 @ X355))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X358 @ X357)|(in @ X358 @ (setadjoin @ X356 @ X357)))&(((((in @ X361 @ X360)|(X362)|((X361)=(X359))|~(in @ X361 @ (setadjoin @ X359 @ X360)))&(~(X362)|(X362)|((X361)=(X359))|~(in @ X361 @ (setadjoin @ X359 @ X360))))&(((in @ X361 @ X360)|(X362)|~(X362)|~(in @ X361 @ (setadjoin @ X359 @ X360)))&(~(X362)|(X362)|~(X362)|~(in @ X361 @ (setadjoin @ X359 @ X360)))))&((~(in @ X365 @ (setadjoin @ X363 @ X364))|(((X365)=(X363))|(in @ X365 @ X364)))&(((dsetconstr @ X366 @ (^[Z0/* 3 */:$i]:(($true))))=(X366))&((((in @ (esk19_2 @ X367 @ X368) @ X368)|(in @ X368 @ (powerset @ X367)))&(~(in @ (esk19_2 @ X367 @ X368) @ X367)|(in @ X368 @ (powerset @ X367))))&((in @ emptyset @ (powerset @ X370))&((in @ emptyset @ (powerset @ X371))&((~(in @ X373 @ (powerset @ X372))|(~(in @ X374 @ X373)|(in @ X374 @ X372)))&((~(in @ X376 @ X377)|(~(in @ X377 @ X375)|(in @ X376 @ (setunion @ X375))))&((((in @ X379 @ (esk20_3 @ X378 @ X379 @ X380))|(X380)|~(in @ X379 @ (setunion @ X378)))&(((in @ (esk20_3 @ X378 @ X379 @ X380) @ X378)|(X380)|~(in @ X379 @ (setunion @ X378)))&(~(X380)|(X380)|~(in @ X379 @ (setunion @ X378)))))&((~(in @ X383 @ X382)|(in @ X383 @ (powerset @ (setunion @ X382))))&((((~(X384 @ X388)|((X388)=(esk22_1 @ X384))|((X384 @ (esk21_2 @ X384 @ X385))|~(X384 @ X385)))&(((X389)!=(esk22_1 @ X384))|(X384 @ X389)|((X384 @ (esk21_2 @ X384 @ X385))|~(X384 @ X385))))&((~(X384 @ X388)|((X388)=(esk22_1 @ X384))|(((X385)!=(esk21_2 @ X384 @ X385))|~(X384 @ X385)))&(((X389)!=(esk22_1 @ X384))|(X384 @ X389)|(((X385)!=(esk21_2 @ X384 @ X385))|~(X384 @ X385)))))&((((X390)=(emptyset))|(in @ (esk23_1 @ X390) @ X390))&((~(in @ X392 @ (setadjoin @ X393 @ emptyset))|((X392)=(X393)))&(((esk24_0)!=(esk25_0))&(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_70])])])])])])). 0.35/0.52 thf(c_0_72, negated_conjecture, ![X2:$i, X3:$i]:((((X2)=(X3))|~((in @ X2 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_71])). 0.35/0.52 thf(c_0_73, negated_conjecture, (in @ esk25_0 @ (setadjoin @ esk24_0 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_71])). 0.35/0.52 thf(c_0_74, negated_conjecture, ((esk24_0)!=(esk25_0)), inference(split_conjunct,[status(thm)],[c_0_71])). 0.35/0.52 thf(c_0_75, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), ['proof']). 0.35/0.52 # SZS output end CNFRefutation 0.35/0.52 # Parsed axioms : 103 0.35/0.52 # Removed by relevancy pruning/SinE : 56 0.35/0.52 # Initial clauses : 94 0.35/0.52 # Removed in clause preprocessing : 4 0.35/0.52 # Initial clauses in saturation : 90 0.35/0.52 # Processed clauses : 103 0.35/0.52 # ...of these trivial : 1 0.35/0.52 # ...subsumed : 11 0.35/0.52 # ...remaining for further processing : 91 0.35/0.52 # Other redundant clauses eliminated : 4 0.35/0.52 # Clauses deleted for lack of memory : 0 0.35/0.52 # Backward-subsumed : 0 0.35/0.52 # Backward-rewritten : 1 0.35/0.52 # Generated clauses : 5 0.35/0.52 # ...of the previous two non-redundant : 3 0.35/0.52 # ...aggressively subsumed : 0 0.35/0.52 # Contextual simplify-reflections : 0 0.35/0.52 # Paramodulations : 1 0.35/0.52 # Factorizations : 0 0.35/0.52 # NegExts : 0 0.35/0.52 # Equation resolutions : 4 0.35/0.52 # Total rewrite steps : 16 0.35/0.52 # Propositional unsat checks : 0 0.35/0.52 # Propositional check models : 0 0.35/0.52 # Propositional check unsatisfiable : 0 0.35/0.52 # Propositional clauses : 0 0.35/0.52 # Propositional clauses after purity: 0 0.35/0.52 # Propositional unsat core size : 0 0.35/0.52 # Propositional preprocessing time : 0.000 0.35/0.52 # Propositional encoding time : 0.000 0.35/0.52 # Propositional solver time : 0.000 0.35/0.52 # Success case prop preproc time : 0.000 0.35/0.52 # Success case prop encoding time : 0.000 0.35/0.52 # Success case prop solver time : 0.000 0.35/0.52 # Current number of processed clauses : 10 0.35/0.52 # Positive orientable unit clauses : 5 0.35/0.52 # Positive unorientable unit clauses: 0 0.35/0.52 # Negative unit clauses : 3 0.35/0.52 # Non-unit-clauses : 2 0.35/0.52 # Current number of unprocessed clauses: 66 0.35/0.52 # ...number of literals in the above : 206 0.35/0.52 # Current number of archived formulas : 0 0.35/0.52 # Current number of archived clauses : 77 0.35/0.52 # Clause-clause subsumption calls (NU) : 1010 0.35/0.52 # Rec. Clause-clause subsumption calls : 361 0.35/0.52 # Non-unit clause-clause subsumptions : 10 0.35/0.52 # Unit Clause-clause subsumption calls : 2 0.35/0.52 # Rewrite failures with RHS unbound : 0 0.35/0.52 # BW rewrite match attempts : 4 0.35/0.52 # BW rewrite match successes : 1 0.35/0.52 # Condensation attempts : 103 0.35/0.52 # Condensation successes : 3 0.35/0.52 # Termbank termtop insertions : 12091 0.35/0.52 0.35/0.52 # ------------------------------------------------- 0.35/0.52 # User time : 0.016 s 0.35/0.52 # System time : 0.009 s 0.35/0.52 # Total time : 0.024 s 0.35/0.52 # Maximum resident set size: 2976 pages 0.35/0.52 0.35/0.52 # ------------------------------------------------- 0.35/0.52 # User time : 0.019 s 0.35/0.52 # System time : 0.011 s 0.35/0.52 # Total time : 0.029 s 0.35/0.52 # Maximum resident set size: 1836 pages 0.35/0.52 % E---3.1 exiting 0.35/0.52 EOF