0.04/0.13 % Problem : Vampire---4.8_3316 : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : run_E %s %d THM 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 12:59:15 EDT 2023 0.14/0.35 % CPUTime : 0.20/0.49 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.dNxYDFccJu/Vampire---4.8_3316 0.20/0.49 # Version: 3.1pre001-ho 0.20/0.52 # Preprocessing class: HSMSSLSSMLLCHSA. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10 with 900s (5) cores 0.20/0.52 # Starting sh5l with 180s (1) cores 0.20/0.52 # Starting new_bool_1 with 180s (1) cores 0.20/0.52 # Starting new_bool_2 with 180s (1) cores 0.20/0.52 # new_bool_1 with pid 3498 completed with status 0 0.20/0.52 # Result found by new_bool_1 0.20/0.52 # Preprocessing class: HSMSSLSSMLLCHSA. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10 with 900s (5) cores 0.20/0.52 # Starting sh5l with 180s (1) cores 0.20/0.52 # Starting new_bool_1 with 180s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.52 # Search class: HGHSM-FFMM31-SHSSMSBN 0.20/0.52 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.20/0.52 # Starting new_ho_10 with 109s (1) cores 0.20/0.52 # new_ho_10 with pid 3500 completed with status 0 0.20/0.52 # Result found by new_ho_10 0.20/0.52 # Preprocessing class: HSMSSLSSMLLCHSA. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10 with 900s (5) cores 0.20/0.52 # Starting sh5l with 180s (1) cores 0.20/0.52 # Starting new_bool_1 with 180s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.52 # Search class: HGHSM-FFMM31-SHSSMSBN 0.20/0.52 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.20/0.52 # Starting new_ho_10 with 109s (1) cores 0.20/0.52 # Preprocessing time : 0.004 s 0.20/0.52 # Presaturation interreduction done 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status Theorem 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_22, type, in: $i > $i > $o). 0.20/0.52 thf(decl_23, type, exu: ($i > $o) > $o). 0.20/0.52 thf(decl_24, type, setextAx: $o). 0.20/0.52 thf(decl_25, type, emptyset: $i). 0.20/0.52 thf(decl_26, type, emptysetAx: $o). 0.20/0.52 thf(decl_27, type, setadjoin: $i > $i > $i). 0.20/0.52 thf(decl_28, type, setadjoinAx: $o). 0.20/0.52 thf(decl_29, type, powerset: $i > $i). 0.20/0.52 thf(decl_30, type, powersetAx: $o). 0.20/0.52 thf(decl_31, type, setunion: $i > $i). 0.20/0.52 thf(decl_32, type, setunionAx: $o). 0.20/0.52 thf(decl_33, type, omega: $i). 0.20/0.52 thf(decl_34, type, omega0Ax: $o). 0.20/0.52 thf(decl_35, type, omegaSAx: $o). 0.20/0.52 thf(decl_36, type, omegaIndAx: $o). 0.20/0.52 thf(decl_37, type, replAx: $o). 0.20/0.52 thf(decl_38, type, foundationAx: $o). 0.20/0.52 thf(decl_39, type, wellorderingAx: $o). 0.20/0.52 thf(decl_41, type, descrp: $o). 0.20/0.52 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_43, type, dsetconstrI: $o). 0.20/0.52 thf(decl_44, type, dsetconstrEL: $o). 0.20/0.52 thf(decl_45, type, dsetconstrER: $o). 0.20/0.52 thf(decl_46, type, exuE1: $o). 0.20/0.52 thf(decl_47, type, prop2set: $o > $i). 0.20/0.52 thf(decl_48, type, prop2setE: $o). 0.20/0.52 thf(decl_49, type, emptysetE: $o). 0.20/0.52 thf(decl_50, type, emptysetimpfalse: $o). 0.20/0.52 thf(decl_51, type, notinemptyset: $o). 0.20/0.52 thf(decl_52, type, exuE3e: $o). 0.20/0.52 thf(decl_53, type, setext: $o). 0.20/0.52 thf(decl_54, type, emptyI: $o). 0.20/0.52 thf(decl_55, type, noeltsimpempty: $o). 0.20/0.52 thf(decl_56, type, setbeta: $o). 0.20/0.52 thf(decl_57, type, nonempty: $i > $o). 0.20/0.52 thf(decl_58, type, nonemptyE1: $o). 0.20/0.52 thf(decl_59, type, nonemptyI: $o). 0.20/0.52 thf(decl_60, type, nonemptyI1: $o). 0.20/0.52 thf(decl_61, type, setadjoinIL: $o). 0.20/0.52 thf(decl_62, type, emptyinunitempty: $o). 0.20/0.52 thf(decl_63, type, setadjoinIR: $o). 0.20/0.52 thf(decl_64, type, setadjoinE: $o). 0.20/0.52 thf(decl_65, type, setadjoinOr: $o). 0.20/0.52 thf(decl_66, type, setoftrueEq: $o). 0.20/0.52 thf(decl_67, type, powersetI: $o). 0.20/0.52 thf(decl_68, type, emptyinPowerset: $o). 0.20/0.52 thf(decl_69, type, emptyInPowerset: $o). 0.20/0.52 thf(decl_70, type, powersetE: $o). 0.20/0.52 thf(decl_71, type, setunionI: $o). 0.20/0.52 thf(decl_72, type, setunionE: $o). 0.20/0.52 thf(decl_73, type, subPowSU: $o). 0.20/0.52 thf(decl_74, type, exuE2: $o). 0.20/0.52 thf(decl_75, type, nonemptyImpWitness: $o). 0.20/0.52 thf(decl_76, type, uniqinunit: $o). 0.20/0.52 thf(decl_77, type, notinsingleton: $o). 0.20/0.52 thf(decl_78, type, eqinunit: $o). 0.20/0.52 thf(decl_79, type, singletonsswitch: $o). 0.20/0.52 thf(decl_80, type, upairsetE: $o). 0.20/0.52 thf(decl_81, type, upairsetIL: $o). 0.20/0.52 thf(decl_82, type, upairsetIR: $o). 0.20/0.52 thf(decl_83, type, emptyE1: $o). 0.20/0.52 thf(decl_84, type, vacuousDall: $o). 0.20/0.52 thf(decl_85, type, quantDeMorgan1: $o). 0.20/0.52 thf(decl_86, type, quantDeMorgan2: $o). 0.20/0.52 thf(decl_87, type, quantDeMorgan3: $o). 0.20/0.52 thf(decl_88, type, quantDeMorgan4: $o). 0.20/0.52 thf(decl_89, type, prop2setI: $o). 0.20/0.52 thf(decl_91, type, prop2set2propI: $o). 0.20/0.52 thf(decl_92, type, notdexE: $o). 0.20/0.52 thf(decl_93, type, notdallE: $o). 0.20/0.52 thf(decl_94, type, epred1_0: $o). 0.20/0.52 thf(decl_95, type, esk1_2: $i > $i > $i). 0.20/0.52 thf(decl_96, type, esk2_2: $i > $i > $i). 0.20/0.52 thf(decl_97, type, esk3_2: $i > $i > $i). 0.20/0.52 thf(decl_98, type, esk4_1: $i > $i). 0.20/0.52 thf(decl_99, type, esk5_2: ($i > $i > $o) > $i > $i). 0.20/0.52 thf(decl_100, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.52 thf(decl_101, type, esk7_2: ($i > $i > $o) > $i > $i). 0.20/0.52 thf(decl_102, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.52 thf(decl_103, type, esk9_1: $i > $i). 0.20/0.52 thf(decl_104, type, esk10_2: ($i > $o) > $i > $i). 0.20/0.52 thf(decl_105, type, esk11_1: ($i > $o) > $i). 0.20/0.52 thf(decl_106, type, esk12_2: ($i > $o) > $i > $i). 0.20/0.52 thf(decl_107, type, esk13_1: ($i > $o) > $i). 0.20/0.52 thf(decl_108, type, esk14_2: $i > $i > $i). 0.20/0.52 thf(decl_109, type, esk15_2: $i > $i > $i). 0.20/0.52 thf(decl_110, type, esk16_1: $i > $i). 0.20/0.52 thf(decl_111, type, esk17_1: $i > $i). 0.20/0.52 thf(decl_112, type, esk18_1: $i > $i). 0.20/0.52 thf(decl_113, type, esk19_2: $i > $i > $i). 0.20/0.52 thf(decl_114, type, esk20_3: $i > $i > $o > $i). 0.20/0.52 thf(decl_115, type, esk21_2: ($i > $o) > $i > $i). 0.20/0.52 thf(decl_116, type, esk22_1: ($i > $o) > $i). 0.20/0.52 thf(decl_117, type, esk23_1: $i > $i). 0.20/0.52 thf(decl_118, type, esk24_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_119, type, esk25_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_120, type, esk26_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_121, type, esk27_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_122, type, esk28_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_123, type, esk29_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_124, type, epred2_0: $i > $o). 0.20/0.52 thf(decl_125, type, esk30_0: $i). 0.20/0.52 thf(decl_126, type, esk31_1: $i > $i). 0.20/0.52 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', nonempty)). 0.20/0.52 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', nonemptyI)). 0.20/0.52 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', exuE3e)). 0.20/0.52 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', exu)). 0.20/0.52 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', exuE2)). 0.20/0.52 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/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', exuE1)). 0.20/0.52 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', replAx)). 0.20/0.52 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', nonemptyI1)). 0.20/0.52 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setbeta)). 0.20/0.52 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', nonemptyE1)). 0.20/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', dsetconstrEL)). 0.20/0.52 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', dsetconstrI)). 0.20/0.52 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setoftrueEq)). 0.20/0.52 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', nonemptyImpWitness)). 0.20/0.52 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptyE1)). 0.20/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', dsetconstrER)). 0.20/0.52 thf(exuI1, conjecture, ((((((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>(((((((dsetconstrER)=>((exuE1)=>(((emptysetE)=>(((notinemptyset)=>(((setext)=>(((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>((emptyInPowerset)=>(((((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((((eqinunit)=>(((((((((quantDeMorgan2)=>((((prop2setI)=>(((notdexE)=>((notdallE)=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))<=?[X2:$i]:((![X3:$i]:((((X2)=(X3))<=(X1 @ X3)))&(X1 @ X2)))))))<=(prop2set2propI)))<=(quantDeMorgan4))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch)))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE))<=(setunionI))<=(powersetE))))<=(powersetI)))))<=(setadjoinIR))))<=(nonemptyI1))<=(nonemptyI)))))<=(emptyI)))<=(exuE3e)))<=(emptysetimpfalse)))<=(prop2setE))))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))<=(wellorderingAx))<=(foundationAx)))))))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', exuI1)). 0.20/0.52 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setextAx)). 0.20/0.52 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setadjoinIR)). 0.20/0.52 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptysetE)). 0.20/0.52 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptyI)). 0.20/0.52 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptysetimpfalse)). 0.20/0.52 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', prop2setE)). 0.20/0.52 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setadjoinIL)). 0.20/0.52 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', wellorderingAx)). 0.20/0.52 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptyinunitempty)). 0.20/0.52 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', foundationAx)). 0.20/0.52 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', powersetAx)). 0.20/0.52 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setadjoinAx)). 0.20/0.52 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setadjoinE)). 0.20/0.52 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptysetAx)). 0.20/0.52 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', notinemptyset)). 0.20/0.52 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setadjoinOr)). 0.20/0.52 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', upairsetIR)). 0.20/0.52 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', upairsetIL)). 0.20/0.52 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/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setext)). 0.20/0.52 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptyinPowerset)). 0.20/0.52 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', emptyInPowerset)). 0.20/0.52 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', subPowSU)). 0.20/0.52 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', eqinunit)). 0.20/0.52 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', quantDeMorgan2)). 0.20/0.52 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', prop2setI)). 0.20/0.52 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', notdexE)). 0.20/0.52 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', notdallE)). 0.20/0.52 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', quantDeMorgan4)). 0.20/0.52 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', quantDeMorgan3)). 0.20/0.52 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', quantDeMorgan1)). 0.20/0.52 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', vacuousDall)). 0.20/0.52 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', upairsetE)). 0.20/0.52 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', singletonsswitch)). 0.20/0.52 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', notinsingleton)). 0.20/0.52 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', uniqinunit)). 0.20/0.52 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setunionE)). 0.20/0.52 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setunionI)). 0.20/0.52 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', powersetE)). 0.20/0.52 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', powersetI)). 0.20/0.52 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', noeltsimpempty)). 0.20/0.52 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', omegaIndAx)). 0.20/0.52 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', omegaSAx)). 0.20/0.52 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', omega0Ax)). 0.20/0.52 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.dNxYDFccJu/Vampire---4.8_3316', setunionAx)). 0.20/0.52 thf(c_0_61, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.20/0.52 thf(c_0_62, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.20/0.52 thf(c_0_63, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.20/0.52 thf(c_0_64, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.20/0.52 thf(c_0_65, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.20/0.52 thf(c_0_66, 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])). 0.20/0.52 thf(c_0_67, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.20/0.52 thf(c_0_68, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_61])). 0.20/0.52 thf(c_0_69, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_61])). 0.20/0.52 thf(c_0_70, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.20/0.52 thf(c_0_71, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X188:$i]:((((X1 @ X188))&![X189:$i]:((((X1 @ X189))=>((X188)=(X189)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_63, c_0_64])). 0.20/0.52 thf(c_0_72, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_61])). 0.20/0.52 thf(c_0_73, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.20/0.52 thf(c_0_74, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.20/0.52 thf(c_0_75, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.20/0.52 thf(c_0_76, plain, ((exuE2)=(![X1:$i > $o]:(((?[X190:$i]:((((X1 @ X190))&![X191:$i]:((((X1 @ X191))=>((X190)=(X191)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_65, c_0_64])). 0.20/0.52 thf(c_0_77, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_61])). 0.20/0.52 thf(c_0_78, 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])). 0.20/0.52 thf(c_0_79, plain, ((exuE1)=(![X1:$i > $o]:(((?[X186:$i]:((((X1 @ X186))&![X187:$i]:((((X1 @ X187))=>((X186)=(X187)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_66, c_0_64])). 0.20/0.52 thf(c_0_80, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.20/0.52 thf(c_0_81, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X184:$i]:((((X6 @ X2 @ X184))&![X185:$i]:((((X6 @ X2 @ X185))=>((X184)=(X185)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_67, c_0_64])). 0.20/0.52 thf(c_0_82, plain, ((epred1_0)<=>![X333:$i]:(?[X334:$i]:((((![X335:$i]:(((in @ X335 @ X334)=>![X336:$i]:(((in @ X336 @ X335)=>(in @ X336 @ X333)))))&![X337:$i, X338:$i]:((((in @ X337 @ X333)&(in @ X338 @ X333))=>(![X339:$i]:(((in @ X339 @ X334)=>((in @ X337 @ X339)<=>(in @ X338 @ X339))))=>((X337)=(X338))))))&![X340:$i, X341:$i]:((((in @ X340 @ X334)&(in @ X341 @ X334))=>(![X342:$i]:(((in @ X342 @ X340)=>(in @ X342 @ X341)))|![X343:$i]:(((in @ X343 @ X341)=>(in @ X343 @ X340)))))))&![X344:$i]:(((![X345:$i]:(((in @ X345 @ X344)=>(in @ X345 @ X333)))&?[X346:$i]:((in @ X346 @ X344)))=>?[X347:$i, X348:$i]:(((((in @ X347 @ X334)&(in @ X348 @ X344))&~(?[X349:$i]:(((in @ X349 @ X347)&(in @ X349 @ X344)))))&![X350:$i]:(((in @ X350 @ X334)=>(![X351:$i]:(((in @ X351 @ X350)=>(in @ X351 @ X347)))|(in @ X348 @ X350)))))))))))), introduced(definition)). 0.20/0.52 thf(c_0_83, negated_conjecture, ~((![X363:$i, X364:$i]:((![X365:$i]:(((in @ X365 @ X363)<=>(in @ X365 @ X364)))=>((X363)=(X364))))=>(![X362:$i]:(~(in @ X362 @ emptyset))=>(![X359:$i, X360:$i, X361:$i]:(((in @ X361 @ (setadjoin @ X359 @ X360))<=>(((X361)=(X359))|(in @ X361 @ X360))))=>(![X356:$i, X357:$i]:(((in @ X357 @ (powerset @ X356))<=>![X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ X356)))))=>(![X192:$i, X193:$i]:(((in @ X193 @ (setunion @ X192))<=>?[X194:$i]:(((in @ X193 @ X194)&(in @ X194 @ X192)))))=>((in @ emptyset @ omega)=>(![X195:$i]:(((in @ X195 @ omega)=>(in @ (setadjoin @ X195 @ X195) @ omega)))=>(![X196:$i]:((((in @ emptyset @ X196)&![X197:$i]:((((in @ X197 @ omega)&(in @ X197 @ X196))=>(in @ (setadjoin @ X197 @ X197) @ X196))))=>![X198:$i]:(((in @ X198 @ omega)=>(in @ X198 @ X196)))))=>(![X199:$i > $i > $o, X200:$i]:((![X201:$i]:(((in @ X201 @ X200)=>?[X202:$i]:(((X199 @ X201 @ X202)&![X203:$i]:(((X199 @ X201 @ X203)=>((X202)=(X203))))))))=>?[X204:$i]:(![X205:$i]:(((in @ X205 @ X204)<=>?[X206:$i]:(((in @ X206 @ X200)&(X199 @ X206 @ X205))))))))=>(![X352:$i]:((?[X353:$i]:((in @ X353 @ X352))=>?[X354:$i]:(((in @ X354 @ X352)&~(?[X355:$i]:(((in @ X355 @ X354)&(in @ X355 @ X352))))))))=>((epred1_0)=>((descrp)=>(![X330:$i, X331:$i > $o, X332:$i]:(((in @ X332 @ X330)=>((X331 @ X332)=>(in @ X332 @ (dsetconstr @ X330 @ (^[Z0/* 3 */:$i]:((X331 @ Z0))))))))=>(![X327:$i, X328:$i > $o, X329:$i]:(((in @ X329 @ (dsetconstr @ X327 @ (^[Z0/* 3 */:$i]:((X328 @ Z0)))))=>(in @ X329 @ X327)))=>(![X207:$i, X208:$i > $o, X209:$i]:(((in @ X209 @ (dsetconstr @ X207 @ (^[Z0/* 3 */:$i]:((X208 @ Z0)))))=>(X208 @ X209)))=>(![X210:$i > $o]:((?[X211:$i]:(((X210 @ X211)&![X212:$i]:(((X210 @ X212)=>((X211)=(X212))))))=>?[X213:$i]:(((X210 @ X213)&![X214:$i]:(((X210 @ X214)=>((X213)=(X214))))))))=>(![X325:$o, X326:$i]:(((in @ X326 @ (prop2set @ ((X325))))=>(X325)))=>(![X215:$i]:(((in @ X215 @ emptyset)=>![X216:$o]:((X216))))=>(![X324:$i]:(~(in @ X324 @ emptyset))=>(![X217:$i]:(~(in @ X217 @ emptyset))=>(![X320:$i > $o]:((?[X321:$i]:(((X320 @ X321)&![X322:$i]:(((X320 @ X322)=>((X321)=(X322))))))=>?[X323:$i]:((X320 @ X323))))=>(![X218:$i, X219:$i]:((![X220:$i]:(((in @ X220 @ X218)=>(in @ X220 @ X219)))=>(![X221:$i]:(((in @ X221 @ X219)=>(in @ X221 @ X218)))=>((X218)=(X219)))))=>(![X318:$i]:((![X319:$i]:(~(in @ X319 @ X318))=>((X318)=(emptyset))))=>(![X222:$i]:((![X223:$i]:(~(in @ X223 @ X222))=>((X222)=(emptyset))))=>(![X224:$i, X225:$i > $o, X226:$i]:(((in @ X226 @ X224)=>((in @ X226 @ (dsetconstr @ X224 @ (^[Z0/* 3 */:$i]:((X225 @ Z0)))))<=>(X225 @ X226))))=>(![X227:$i]:((((X227)!=(emptyset))=>?[X228:$i]:((in @ X228 @ X227))))=>(![X315:$i, X316:$i > $o, X317:$i]:(((in @ X317 @ X315)=>((X316 @ X317)=>((dsetconstr @ X315 @ (^[Z0/* 3 */:$i]:((X316 @ Z0))))!=(emptyset)))))=>(![X313:$i]:((?[X314:$i]:((in @ X314 @ X313))=>((X313)!=(emptyset))))=>(![X229:$i, X230:$i]:((in @ X229 @ (setadjoin @ X229 @ X230)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X310:$i, X311:$i, X312:$i]:(((in @ X312 @ X311)=>(in @ X312 @ (setadjoin @ X310 @ X311))))=>(![X231:$i, X232:$i, X233:$i]:(((in @ X233 @ (setadjoin @ X231 @ X232))=>![X234:$o]:(((((X233)=(X231))=>(X234))=>(((in @ X233 @ X232)=>(X234))=>(X234))))))=>(![X235:$i, X236:$i, X237:$i]:(((in @ X237 @ (setadjoin @ X235 @ X236))=>(((X237)=(X235))|(in @ X237 @ X236))))=>(![X238:$i]:(((dsetconstr @ X238 @ (^[Z0/* 3 */:$i]:(($true))))=(X238)))=>(![X307:$i, X308:$i]:((![X309:$i]:(((in @ X309 @ X308)=>(in @ X309 @ X307)))=>(in @ X308 @ (powerset @ X307))))=>(![X239:$i]:((in @ emptyset @ (powerset @ X239)))=>(![X240:$i]:((in @ emptyset @ (powerset @ X240)))=>(![X304:$i, X305:$i, X306:$i]:(((in @ X305 @ (powerset @ X304))=>((in @ X306 @ X305)=>(in @ X306 @ X304))))=>(![X301:$i, X302:$i, X303:$i]:(((in @ X302 @ X303)=>((in @ X303 @ X301)=>(in @ X302 @ (setunion @ X301)))))=>(![X297:$i, X298:$i]:(((in @ X298 @ (setunion @ X297))=>![X299:$o]:((![X300:$i]:(((in @ X298 @ X300)=>((in @ X300 @ X297)=>(X299))))=>(X299)))))=>(![X241:$i, X242:$i]:(((in @ X242 @ X241)=>(in @ X242 @ (powerset @ (setunion @ X241)))))=>(![X243:$i > $o]:((?[X244:$i]:(((X243 @ X244)&![X245:$i]:(((X243 @ X245)=>((X244)=(X245))))))=>?[X246:$i]:(![X247:$i]:(((X243 @ X247)<=>((X247)=(X246)))))))=>(![X248:$i]:((((X248)!=(emptyset))=>?[X249:$i]:((in @ X249 @ X248))))=>(![X295:$i, X296:$i]:(((in @ X295 @ (setadjoin @ X296 @ emptyset))=>((X295)=(X296))))=>(![X293:$i, X294:$i]:((((X293)!=(X294))=>~(in @ X294 @ (setadjoin @ X293 @ emptyset))))=>(![X250:$i, X251:$i]:((((X250)=(X251))=>(in @ X250 @ (setadjoin @ X251 @ emptyset))))=>(![X291:$i, X292:$i]:(((in @ X291 @ (setadjoin @ X292 @ emptyset))=>(in @ X292 @ (setadjoin @ X291 @ emptyset))))=>(![X288:$i, X289:$i, X290:$i]:(((in @ X290 @ (setadjoin @ X288 @ (setadjoin @ X289 @ emptyset)))=>(((X290)=(X288))|((X290)=(X289)))))=>(![X286:$i, X287:$i]:((in @ X286 @ (setadjoin @ X286 @ (setadjoin @ X287 @ emptyset))))=>(![X284:$i, X285:$i]:((in @ X285 @ (setadjoin @ X284 @ (setadjoin @ X285 @ emptyset))))=>(![X281:$i, X282:$i > $o]:((?[X283:$i]:(((in @ X283 @ X281)&(X282 @ X283)))=>((dsetconstr @ X281 @ (^[Z0/* 3 */:$i]:((X282 @ Z0))))!=(emptyset))))=>(![X279:$i > $o, X280:$i]:(((in @ X280 @ emptyset)=>(X279 @ X280)))=>(![X275:$i, X276:$i > $o]:((~(![X277:$i]:(((in @ X277 @ X275)=>(X276 @ X277))))=>?[X278:$i]:(((in @ X278 @ X275)&~(X276 @ X278)))))=>(![X252:$i, X253:$i > $o]:((![X254:$i]:(((in @ X254 @ X252)=>~(X253 @ X254)))=>~(?[X255:$i]:(((in @ X255 @ X252)&(X253 @ X255))))))=>(![X271:$i, X272:$i > $o]:((~(?[X273:$i]:(((in @ X273 @ X271)&(X272 @ X273))))=>![X274:$i]:(((in @ X274 @ X271)=>~(X272 @ X274)))))=>(![X267:$i, X268:$i > $o]:((?[X269:$i]:(((in @ X269 @ X267)&~(X268 @ X269)))=>~(![X270:$i]:(((in @ X270 @ X267)=>(X268 @ X270))))))=>(![X256:$o]:(((X256)=>(in @ emptyset @ (prop2set @ ((X256))))))=>((prop2set2propI)=>(![X257:$i, X258:$i > $o]:((~(?[X259:$i]:(((in @ X259 @ X257)&(X258 @ X259))))=>![X260:$i]:(((in @ X260 @ X257)=>~(X258 @ X260)))))=>(![X261:$i, X262:$i > $o]:((~(![X263:$i]:(((in @ X263 @ X261)=>(X262 @ X263))))=>?[X264:$i]:(((in @ X264 @ X261)&~(X262 @ X264)))))=>![X1:$i > $o]:((?[X2:$i]:((![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))&(X1 @ X2)))=>?[X265:$i]:(((X1 @ X265)&![X266:$i]:(((X1 @ X266)=>((X265)=(X266))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[exuI1])]), setextAx]), setadjoinIR]), emptysetE]), c_0_68]), c_0_69]), c_0_70]), emptyI]), c_0_71]), c_0_72]), emptysetimpfalse]), prop2setE]), c_0_73]), setadjoinIL]), c_0_74]), wellorderingAx]), emptyinunitempty]), foundationAx]), powersetAx]), setadjoinAx]), setadjoinE]), emptysetAx]), notinemptyset]), setadjoinOr]), c_0_75]), upairsetIR]), upairsetIL]), setext]), emptyinPowerset]), emptyInPowerset]), subPowSU]), c_0_76]), c_0_77]), eqinunit]), quantDeMorgan2]), prop2setI]), notdexE]), notdallE]), c_0_64]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan1]), vacuousDall]), c_0_78]), upairsetE]), singletonsswitch]), notinsingleton]), uniqinunit]), setunionE]), setunionI]), powersetE]), powersetI]), noeltsimpempty]), c_0_79]), c_0_80]), c_0_81]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx])]), c_0_82])). 0.20/0.52 thf(c_0_84, negated_conjecture, ![X366:$i, X367:$i, X369:$i, X370:$i, X371:$i, X372:$i, X373:$i, X374:$i, X375:$i, X376:$i, X377:$i, X379:$i, X380:$i, X382:$i, X383:$i, X384:$i, X385:$i, X386:$i, X388:$i, X389:$i > $i > $o, X390:$i, X392:$i, X395:$i, X397:$i, X398:$i, X399:$i, X400:$i, X402:$i, X403:$i, X404:$i > $o, X405:$i, X406:$i, X407:$i > $o, X408:$i, X409:$i, X410:$i > $o, X411:$i, X412:$i > $o, X413:$i, X416:$i, X417:$o, X418:$i, X419:$i, X420:$o, X421:$i, X422:$i, X423:$i > $o, X424:$i, X427:$i, X428:$i, X431:$i, X433:$i, X435:$i, X436:$i > $o, X437:$i, X438:$i, X440:$i, X441:$i > $o, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X448:$i, X449:$i, X450:$i, X451:$i, X452:$i, X453:$o, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X461:$i, X462:$i, X463:$i, X464:$i, X465:$i, X466:$i, X467:$i, X468:$i, X469:$i, X470:$i, X471:$o, X473:$i, X474:$i, X475:$i > $o, X476:$i, X479:$i, X480:$i, X481:$i, X483:$i, X484:$i, X485:$i, X486:$i, X487:$i, X488:$i, X489:$i, X490:$i, X491:$i, X492:$i, X493:$i, X494:$i, X495:$i, X496:$i, X497:$i, X498:$i, X499:$i > $o, X500:$i, X501:$i > $o, X502:$i, X503:$i, X504:$i > $o, X505:$i, X507:$i, X508:$i > $o, X510:$i, X511:$i, X512:$i > $o, X514:$i, X515:$i, X516:$i > $o, X517:$i, X519:$o, X520:$i, X521:$i > $o, X523:$i, X524:$i, X525:$i > $o, X526:$i, X530:$i, X531:$i]:((((~(in @ (esk1_2 @ X366 @ X367) @ X366)|~(in @ (esk1_2 @ X366 @ X367) @ X367)|((X366)=(X367)))&((in @ (esk1_2 @ X366 @ X367) @ X366)|(in @ (esk1_2 @ X366 @ X367) @ X367)|((X366)=(X367))))&(~(in @ X369 @ emptyset)&(((~(in @ X372 @ (setadjoin @ X370 @ X371))|(((X372)=(X370))|(in @ X372 @ X371)))&((((X372)!=(X370))|(in @ X372 @ (setadjoin @ X370 @ X371)))&(~(in @ X372 @ X371)|(in @ X372 @ (setadjoin @ X370 @ X371)))))&(((~(in @ X374 @ (powerset @ X373))|(~(in @ X375 @ X374)|(in @ X375 @ X373)))&(((in @ (esk2_2 @ X376 @ X377) @ X377)|(in @ X377 @ (powerset @ X376)))&(~(in @ (esk2_2 @ X376 @ X377) @ X376)|(in @ X377 @ (powerset @ X376)))))&(((((in @ X380 @ (esk3_2 @ X379 @ X380))|~(in @ X380 @ (setunion @ X379)))&((in @ (esk3_2 @ X379 @ X380) @ X379)|~(in @ X380 @ (setunion @ X379))))&(~(in @ X383 @ X384)|~(in @ X384 @ X382)|(in @ X383 @ (setunion @ X382))))&((in @ emptyset @ omega)&((~(in @ X385 @ omega)|(in @ (setadjoin @ X385 @ X385) @ omega))&(((((in @ (esk4_1 @ X386) @ omega)|~(in @ emptyset @ X386)|(~(in @ X388 @ omega)|(in @ X388 @ X386)))&((in @ (esk4_1 @ X386) @ X386)|~(in @ emptyset @ X386)|(~(in @ X388 @ omega)|(in @ X388 @ X386))))&(~(in @ (setadjoin @ (esk4_1 @ X386) @ (esk4_1 @ X386)) @ X386)|~(in @ emptyset @ X386)|(~(in @ X388 @ omega)|(in @ X388 @ X386))))&((((((in @ (esk8_3 @ X389 @ X390 @ X395) @ X390)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|(in @ (esk5_2 @ X389 @ X390) @ X390))&((X389 @ (esk8_3 @ X389 @ X390 @ X395) @ X395)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|(in @ (esk5_2 @ X389 @ X390) @ X390)))&(~(in @ X398 @ X390)|~(X389 @ X398 @ X397)|(in @ X397 @ (esk7_2 @ X389 @ X390))|(in @ (esk5_2 @ X389 @ X390) @ X390)))&(((((in @ (esk8_3 @ X389 @ X390 @ X395) @ X390)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|((X389 @ (esk5_2 @ X389 @ X390) @ (esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392)))&((X389 @ (esk8_3 @ X389 @ X390 @ X395) @ X395)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|((X389 @ (esk5_2 @ X389 @ X390) @ (esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392))))&(~(in @ X398 @ X390)|~(X389 @ X398 @ X397)|(in @ X397 @ (esk7_2 @ X389 @ X390))|((X389 @ (esk5_2 @ X389 @ X390) @ (esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392))))&((((in @ (esk8_3 @ X389 @ X390 @ X395) @ X390)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|(((X392)!=(esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392)))&((X389 @ (esk8_3 @ X389 @ X390 @ X395) @ X395)|~(in @ X395 @ (esk7_2 @ X389 @ X390))|(((X392)!=(esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392))))&(~(in @ X398 @ X390)|~(X389 @ X398 @ X397)|(in @ X397 @ (esk7_2 @ X389 @ X390))|(((X392)!=(esk6_3 @ X389 @ X390 @ X392))|~(X389 @ (esk5_2 @ X389 @ X390) @ X392))))))&((((in @ (esk9_1 @ X399) @ X399)|~(in @ X400 @ X399))&(~(in @ X402 @ (esk9_1 @ X399))|~(in @ X402 @ X399)|~(in @ X400 @ X399)))&((epred1_0)&((descrp)&((~(in @ X405 @ X403)|(~(X404 @ X405)|(in @ X405 @ (dsetconstr @ X403 @ (^[Z0/* 3 */:$i]:((X404 @ Z0)))))))&((~(in @ X408 @ (dsetconstr @ X406 @ (^[Z0/* 3 */:$i]:((X407 @ Z0)))))|(in @ X408 @ X406))&((~(in @ X411 @ (dsetconstr @ X409 @ (^[Z0/* 3 */:$i]:((X410 @ Z0)))))|(X410 @ X411))&(((((X412 @ (esk11_1 @ X412))|((X412 @ (esk10_2 @ X412 @ X413))|~(X412 @ X413)))&(~(X412 @ X416)|((esk11_1 @ X412)=(X416))|((X412 @ (esk10_2 @ X412 @ X413))|~(X412 @ X413))))&(((X412 @ (esk11_1 @ X412))|(((X413)!=(esk10_2 @ X412 @ X413))|~(X412 @ X413)))&(~(X412 @ X416)|((esk11_1 @ X412)=(X416))|(((X413)!=(esk10_2 @ X412 @ X413))|~(X412 @ X413)))))&((~(in @ X418 @ (prop2set @ ((X417))))|(X417))&((~(in @ X419 @ emptyset)|(X420))&(~(in @ X421 @ emptyset)&(~(in @ X422 @ emptyset)&((((X423 @ (esk12_2 @ X423 @ X424))|~(X423 @ X424)|(X423 @ (esk13_1 @ X423)))&(((X424)!=(esk12_2 @ X423 @ X424))|~(X423 @ X424)|(X423 @ (esk13_1 @ X423))))&(((((in @ (esk15_2 @ X427 @ X428) @ X428)|((X427)=(X428))|(in @ (esk14_2 @ X427 @ X428) @ X427))&(~(in @ (esk15_2 @ X427 @ X428) @ X427)|((X427)=(X428))|(in @ (esk14_2 @ X427 @ X428) @ X427)))&(((in @ (esk15_2 @ X427 @ X428) @ X428)|((X427)=(X428))|~(in @ (esk14_2 @ X427 @ X428) @ X428))&(~(in @ (esk15_2 @ X427 @ X428) @ X427)|((X427)=(X428))|~(in @ (esk14_2 @ X427 @ X428) @ X428))))&(((in @ (esk16_1 @ X431) @ X431)|((X431)=(emptyset)))&(((in @ (esk17_1 @ X433) @ X433)|((X433)=(emptyset)))&(((~(in @ X437 @ (dsetconstr @ X435 @ (^[Z0/* 3 */:$i]:((X436 @ Z0)))))|(X436 @ X437)|~(in @ X437 @ X435))&(~(X436 @ X437)|(in @ X437 @ (dsetconstr @ X435 @ (^[Z0/* 3 */:$i]:((X436 @ Z0)))))|~(in @ X437 @ X435)))&((((X438)=(emptyset))|(in @ (esk18_1 @ X438) @ X438))&((~(in @ X442 @ X440)|(~(X441 @ X442)|((dsetconstr @ X440 @ (^[Z0/* 3 */:$i]:((X441 @ Z0))))!=(emptyset))))&((~(in @ X444 @ X443)|((X443)!=(emptyset)))&((in @ X445 @ (setadjoin @ X445 @ X446))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X449 @ X448)|(in @ X449 @ (setadjoin @ X447 @ X448)))&(((((in @ X452 @ X451)|(X453)|((X452)=(X450))|~(in @ X452 @ (setadjoin @ X450 @ X451)))&(~(X453)|(X453)|((X452)=(X450))|~(in @ X452 @ (setadjoin @ X450 @ X451))))&(((in @ X452 @ X451)|(X453)|~(X453)|~(in @ X452 @ (setadjoin @ X450 @ X451)))&(~(X453)|(X453)|~(X453)|~(in @ X452 @ (setadjoin @ X450 @ X451)))))&((~(in @ X456 @ (setadjoin @ X454 @ X455))|(((X456)=(X454))|(in @ X456 @ X455)))&(((dsetconstr @ X457 @ (^[Z0/* 3 */:$i]:(($true))))=(X457))&((((in @ (esk19_2 @ X458 @ X459) @ X459)|(in @ X459 @ (powerset @ X458)))&(~(in @ (esk19_2 @ X458 @ X459) @ X458)|(in @ X459 @ (powerset @ X458))))&((in @ emptyset @ (powerset @ X461))&((in @ emptyset @ (powerset @ X462))&((~(in @ X464 @ (powerset @ X463))|(~(in @ X465 @ X464)|(in @ X465 @ X463)))&((~(in @ X467 @ X468)|(~(in @ X468 @ X466)|(in @ X467 @ (setunion @ X466))))&((((in @ X470 @ (esk20_3 @ X469 @ X470 @ X471))|(X471)|~(in @ X470 @ (setunion @ X469)))&(((in @ (esk20_3 @ X469 @ X470 @ X471) @ X469)|(X471)|~(in @ X470 @ (setunion @ X469)))&(~(X471)|(X471)|~(in @ X470 @ (setunion @ X469)))))&((~(in @ X474 @ X473)|(in @ X474 @ (powerset @ (setunion @ X473))))&((((~(X475 @ X479)|((X479)=(esk22_1 @ X475))|((X475 @ (esk21_2 @ X475 @ X476))|~(X475 @ X476)))&(((X480)!=(esk22_1 @ X475))|(X475 @ X480)|((X475 @ (esk21_2 @ X475 @ X476))|~(X475 @ X476))))&((~(X475 @ X479)|((X479)=(esk22_1 @ X475))|(((X476)!=(esk21_2 @ X475 @ X476))|~(X475 @ X476)))&(((X480)!=(esk22_1 @ X475))|(X475 @ X480)|(((X476)!=(esk21_2 @ X475 @ X476))|~(X475 @ X476)))))&((((X481)=(emptyset))|(in @ (esk23_1 @ X481) @ X481))&((~(in @ X483 @ (setadjoin @ X484 @ emptyset))|((X483)=(X484)))&((((X485)=(X486))|~(in @ X486 @ (setadjoin @ X485 @ emptyset)))&((((X487)!=(X488))|(in @ X487 @ (setadjoin @ X488 @ emptyset)))&((~(in @ X489 @ (setadjoin @ X490 @ emptyset))|(in @ X490 @ (setadjoin @ X489 @ emptyset)))&((~(in @ X493 @ (setadjoin @ X491 @ (setadjoin @ X492 @ emptyset)))|(((X493)=(X491))|((X493)=(X492))))&((in @ X494 @ (setadjoin @ X494 @ (setadjoin @ X495 @ emptyset)))&((in @ X497 @ (setadjoin @ X496 @ (setadjoin @ X497 @ emptyset)))&((~(in @ X500 @ X498)|~(X499 @ X500)|((dsetconstr @ X498 @ (^[Z0/* 3 */:$i]:((X499 @ Z0))))!=(emptyset)))&((~(in @ X502 @ emptyset)|(X501 @ X502))&((((in @ (esk24_2 @ X503 @ X504) @ X503)|(~(in @ X505 @ X503)|(X504 @ X505)))&(~(X504 @ (esk24_2 @ X503 @ X504))|(~(in @ X505 @ X503)|(X504 @ X505))))&((((in @ (esk25_2 @ X507 @ X508) @ X507)|(~(in @ X510 @ X507)|~(X508 @ X510)))&((X508 @ (esk25_2 @ X507 @ X508))|(~(in @ X510 @ X507)|~(X508 @ X510))))&((((in @ (esk26_2 @ X511 @ X512) @ X511)|(~(in @ X514 @ X511)|~(X512 @ X514)))&((X512 @ (esk26_2 @ X511 @ X512))|(~(in @ X514 @ X511)|~(X512 @ X514))))&((((in @ (esk27_2 @ X515 @ X516) @ X515)|(~(in @ X517 @ X515)|(X516 @ X517)))&(~(X516 @ (esk27_2 @ X515 @ X516))|(~(in @ X517 @ X515)|(X516 @ X517))))&((~(X519)|(in @ emptyset @ (prop2set @ ((X519)))))&((prop2set2propI)&((((in @ (esk28_2 @ X520 @ X521) @ X520)|(~(in @ X523 @ X520)|~(X521 @ X523)))&((X521 @ (esk28_2 @ X520 @ X521))|(~(in @ X523 @ X520)|~(X521 @ X523))))&((((in @ (esk29_2 @ X524 @ X525) @ X524)|(~(in @ X526 @ X524)|(X525 @ X526)))&(~(X525 @ (esk29_2 @ X524 @ X525))|(~(in @ X526 @ X524)|(X525 @ X526))))&(((~(epred2_0 @ X530)|((esk30_0)=(X530)))&(epred2_0 @ esk30_0))&(((epred2_0 @ (esk31_1 @ X531))|~(epred2_0 @ X531))&(((X531)!=(esk31_1 @ X531))|~(epred2_0 @ X531))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])])])])). 0.20/0.52 thf(c_0_85, negated_conjecture, ![X2:$i]:((((esk30_0)=(X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_84])). 0.20/0.52 thf(c_0_86, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk31_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_84])). 0.20/0.52 thf(c_0_87, negated_conjecture, ![X2:$i]:((((X2)!=(esk31_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_84])). 0.20/0.52 thf(c_0_88, negated_conjecture, ![X2:$i]:((((esk31_1 @ X2)=(esk30_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 0.20/0.52 thf(c_0_89, negated_conjecture, (epred2_0 @ esk30_0), inference(split_conjunct,[status(thm)],[c_0_84])). 0.20/0.52 thf(c_0_90, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88])]), c_0_89])]), ['proof']). 0.20/0.52 # SZS output end CNFRefutation 0.20/0.52 # Parsed axioms : 135 0.20/0.52 # Removed by relevancy pruning/SinE : 74 0.20/0.52 # Initial clauses : 118 0.20/0.52 # Removed in clause preprocessing : 4 0.20/0.52 # Initial clauses in saturation : 114 0.20/0.52 # Processed clauses : 145 0.20/0.52 # ...of these trivial : 3 0.20/0.52 # ...subsumed : 16 0.20/0.52 # ...remaining for further processing : 126 0.20/0.52 # Other redundant clauses eliminated : 7 0.20/0.52 # Clauses deleted for lack of memory : 0 0.20/0.52 # Backward-subsumed : 0 0.20/0.52 # Backward-rewritten : 2 0.20/0.52 # Generated clauses : 27 0.20/0.52 # ...of the previous two non-redundant : 23 0.20/0.52 # ...aggressively subsumed : 0 0.20/0.52 # Contextual simplify-reflections : 0 0.20/0.52 # Paramodulations : 20 0.20/0.52 # Factorizations : 0 0.20/0.52 # NegExts : 0 0.20/0.52 # Equation resolutions : 7 0.20/0.52 # Total rewrite steps : 21 0.20/0.52 # Propositional unsat checks : 0 0.20/0.52 # Propositional check models : 0 0.20/0.52 # Propositional check unsatisfiable : 0 0.20/0.52 # Propositional clauses : 0 0.20/0.52 # Propositional clauses after purity: 0 0.20/0.52 # Propositional unsat core size : 0 0.20/0.52 # Propositional preprocessing time : 0.000 0.20/0.52 # Propositional encoding time : 0.000 0.20/0.52 # Propositional solver time : 0.000 0.20/0.52 # Success case prop preproc time : 0.000 0.20/0.52 # Success case prop encoding time : 0.000 0.20/0.52 # Success case prop solver time : 0.000 0.20/0.52 # Current number of processed clauses : 24 0.20/0.52 # Positive orientable unit clauses : 10 0.20/0.52 # Positive unorientable unit clauses: 0 0.20/0.52 # Negative unit clauses : 1 0.20/0.52 # Non-unit-clauses : 13 0.20/0.52 # Current number of unprocessed clauses: 84 0.20/0.52 # ...number of literals in the above : 258 0.20/0.52 # Current number of archived formulas : 0 0.20/0.52 # Current number of archived clauses : 97 0.20/0.52 # Clause-clause subsumption calls (NU) : 2626 0.20/0.52 # Rec. Clause-clause subsumption calls : 1174 0.20/0.52 # Non-unit clause-clause subsumptions : 12 0.20/0.52 # Unit Clause-clause subsumption calls : 8 0.20/0.52 # Rewrite failures with RHS unbound : 0 0.20/0.52 # BW rewrite match attempts : 4 0.20/0.52 # BW rewrite match successes : 2 0.20/0.52 # Condensation attempts : 145 0.20/0.52 # Condensation successes : 3 0.20/0.52 # Termbank termtop insertions : 16580 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.023 s 0.20/0.52 # System time : 0.008 s 0.20/0.52 # Total time : 0.030 s 0.20/0.52 # Maximum resident set size: 3500 pages 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.025 s 0.20/0.53 # System time : 0.011 s 0.20/0.53 # Total time : 0.036 s 0.20/0.53 # Maximum resident set size: 1868 pages 0.20/0.53 % E---3.1 exiting 0.20/0.53 EOF