0.06/0.13 % Problem : Vampire---4.8_30039 : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : run_E %s %d THM 0.15/0.35 % Computer : n001.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 13:40:45 EDT 2023 0.15/0.35 % CPUTime : 0.21/0.49 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.BE5L0l2UNH/Vampire---4.8_30039 0.21/0.49 # Version: 3.1pre001-ho 0.21/0.52 # Preprocessing class: HSMSSLSSLLLCHFA. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.52 # Starting new_ho_10 with 900s (5) cores 0.21/0.52 # Starting sh5l with 180s (1) cores 0.21/0.52 # Starting new_bool_1 with 180s (1) cores 0.21/0.52 # Starting new_bool_2 with 180s (1) cores 0.21/0.52 # new_bool_2 with pid 30220 completed with status 0 0.21/0.52 # Result found by new_bool_2 0.21/0.52 # Preprocessing class: HSMSSLSSLLLCHFA. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.52 # Starting new_ho_10 with 900s (5) cores 0.21/0.52 # Starting sh5l with 180s (1) cores 0.21/0.52 # Starting new_bool_1 with 180s (1) cores 0.21/0.52 # Starting new_bool_2 with 180s (1) cores 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.52 # Search class: HGHSM-FSLM31-SHFMMMBN 0.21/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.52 # Starting ho_unfolding_3 with 98s (1) cores 0.21/0.52 # ho_unfolding_3 with pid 30221 completed with status 0 0.21/0.52 # Result found by ho_unfolding_3 0.21/0.52 # Preprocessing class: HSMSSLSSLLLCHFA. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.52 # Starting new_ho_10 with 900s (5) cores 0.21/0.52 # Starting sh5l with 180s (1) cores 0.21/0.52 # Starting new_bool_1 with 180s (1) cores 0.21/0.52 # Starting new_bool_2 with 180s (1) cores 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.52 # Search class: HGHSM-FSLM31-SHFMMMBN 0.21/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.52 # Starting ho_unfolding_3 with 98s (1) cores 0.21/0.52 # Preprocessing time : 0.004 s 0.21/0.52 # Presaturation interreduction done 0.21/0.52 0.21/0.52 # Proof found! 0.21/0.52 # SZS status Theorem 0.21/0.52 # SZS output start CNFRefutation 0.21/0.52 thf(decl_22, type, in: $i > $i > $o). 0.21/0.52 thf(decl_23, type, exu: ($i > $o) > $o). 0.21/0.52 thf(decl_24, type, setextAx: $o). 0.21/0.52 thf(decl_25, type, emptyset: $i). 0.21/0.52 thf(decl_26, type, emptysetAx: $o). 0.21/0.52 thf(decl_27, type, setadjoin: $i > $i > $i). 0.21/0.52 thf(decl_28, type, setadjoinAx: $o). 0.21/0.52 thf(decl_29, type, powerset: $i > $i). 0.21/0.52 thf(decl_30, type, powersetAx: $o). 0.21/0.52 thf(decl_31, type, setunion: $i > $i). 0.21/0.52 thf(decl_32, type, setunionAx: $o). 0.21/0.52 thf(decl_33, type, omega: $i). 0.21/0.52 thf(decl_34, type, omega0Ax: $o). 0.21/0.52 thf(decl_35, type, omegaSAx: $o). 0.21/0.52 thf(decl_36, type, omegaIndAx: $o). 0.21/0.52 thf(decl_37, type, replAx: $o). 0.21/0.52 thf(decl_38, type, foundationAx: $o). 0.21/0.52 thf(decl_39, type, wellorderingAx: $o). 0.21/0.52 thf(decl_41, type, descrp: $o). 0.21/0.52 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_43, type, dsetconstrI: $o). 0.21/0.52 thf(decl_44, type, dsetconstrEL: $o). 0.21/0.52 thf(decl_45, type, dsetconstrER: $o). 0.21/0.52 thf(decl_46, type, exuE1: $o). 0.21/0.52 thf(decl_47, type, prop2set: $o > $i). 0.21/0.52 thf(decl_48, type, prop2setE: $o). 0.21/0.52 thf(decl_49, type, emptysetE: $o). 0.21/0.52 thf(decl_50, type, emptysetimpfalse: $o). 0.21/0.52 thf(decl_51, type, notinemptyset: $o). 0.21/0.52 thf(decl_52, type, exuE3e: $o). 0.21/0.52 thf(decl_53, type, setext: $o). 0.21/0.52 thf(decl_54, type, emptyI: $o). 0.21/0.52 thf(decl_55, type, noeltsimpempty: $o). 0.21/0.52 thf(decl_56, type, setbeta: $o). 0.21/0.52 thf(decl_57, type, nonempty: $i > $o). 0.21/0.52 thf(decl_58, type, nonemptyE1: $o). 0.21/0.52 thf(decl_59, type, nonemptyI: $o). 0.21/0.52 thf(decl_60, type, nonemptyI1: $o). 0.21/0.52 thf(decl_61, type, setadjoinIL: $o). 0.21/0.52 thf(decl_62, type, emptyinunitempty: $o). 0.21/0.52 thf(decl_63, type, setadjoinIR: $o). 0.21/0.52 thf(decl_64, type, setadjoinE: $o). 0.21/0.52 thf(decl_65, type, setadjoinOr: $o). 0.21/0.52 thf(decl_66, type, setoftrueEq: $o). 0.21/0.52 thf(decl_67, type, powersetI: $o). 0.21/0.52 thf(decl_68, type, emptyinPowerset: $o). 0.21/0.52 thf(decl_69, type, emptyInPowerset: $o). 0.21/0.52 thf(decl_70, type, powersetE: $o). 0.21/0.52 thf(decl_71, type, setunionI: $o). 0.21/0.52 thf(decl_72, type, setunionE: $o). 0.21/0.52 thf(decl_73, type, subPowSU: $o). 0.21/0.52 thf(decl_74, type, exuE2: $o). 0.21/0.52 thf(decl_75, type, nonemptyImpWitness: $o). 0.21/0.52 thf(decl_76, type, uniqinunit: $o). 0.21/0.52 thf(decl_77, type, notinsingleton: $o). 0.21/0.52 thf(decl_78, type, eqinunit: $o). 0.21/0.52 thf(decl_79, type, singletonsswitch: $o). 0.21/0.52 thf(decl_80, type, upairsetE: $o). 0.21/0.52 thf(decl_81, type, upairsetIL: $o). 0.21/0.52 thf(decl_82, type, upairsetIR: $o). 0.21/0.52 thf(decl_83, type, emptyE1: $o). 0.21/0.52 thf(decl_84, type, vacuousDall: $o). 0.21/0.52 thf(decl_85, type, quantDeMorgan1: $o). 0.21/0.52 thf(decl_86, type, quantDeMorgan2: $o). 0.21/0.52 thf(decl_87, type, quantDeMorgan3: $o). 0.21/0.52 thf(decl_88, type, quantDeMorgan4: $o). 0.21/0.52 thf(decl_89, type, prop2setI: $o). 0.21/0.52 thf(decl_91, type, prop2set2propI: $o). 0.21/0.52 thf(decl_92, type, notdexE: $o). 0.21/0.52 thf(decl_93, type, notdallE: $o). 0.21/0.52 thf(decl_94, type, exuI1: $o). 0.21/0.52 thf(decl_95, type, exuI3: $o). 0.21/0.52 thf(decl_96, type, exuI2: $o). 0.21/0.52 thf(decl_97, type, inCongP: $o). 0.21/0.52 thf(decl_98, type, in__Cong: $o). 0.21/0.52 thf(decl_99, type, exuE3u: $o). 0.21/0.52 thf(decl_100, type, exu__Cong: $o). 0.21/0.52 thf(decl_101, type, emptyset__Cong: $o). 0.21/0.52 thf(decl_102, type, setadjoin__Cong: $o). 0.21/0.52 thf(decl_103, type, powerset__Cong: $o). 0.21/0.52 thf(decl_104, type, epred1_0: $o). 0.21/0.52 thf(decl_105, type, esk1_2: $i > $i > $i). 0.21/0.52 thf(decl_106, type, esk2_2: $i > $i > $i). 0.21/0.52 thf(decl_107, type, esk3_2: $i > $i > $i). 0.21/0.52 thf(decl_108, type, esk4_1: $i > $i). 0.21/0.52 thf(decl_109, type, esk5_2: ($i > $i > $o) > $i > $i). 0.21/0.52 thf(decl_110, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.52 thf(decl_111, type, esk7_2: ($i > $i > $o) > $i > $i). 0.21/0.52 thf(decl_112, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.52 thf(decl_113, type, esk9_1: $i > $i). 0.21/0.52 thf(decl_114, type, esk10_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_115, type, esk11_1: ($i > $o) > $i). 0.21/0.52 thf(decl_116, type, esk12_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_117, type, esk13_1: ($i > $o) > $i). 0.21/0.52 thf(decl_118, type, esk14_2: $i > $i > $i). 0.21/0.52 thf(decl_119, type, esk15_2: $i > $i > $i). 0.21/0.52 thf(decl_120, type, esk16_1: $i > $i). 0.21/0.52 thf(decl_121, type, esk17_1: $i > $i). 0.21/0.52 thf(decl_122, type, esk18_1: $i > $i). 0.21/0.52 thf(decl_123, type, esk19_2: $i > $i > $i). 0.21/0.52 thf(decl_124, type, esk20_3: $i > $i > $o > $i). 0.21/0.52 thf(decl_125, type, esk21_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_126, type, esk22_1: ($i > $o) > $i). 0.21/0.52 thf(decl_127, type, esk23_1: $i > $i). 0.21/0.52 thf(decl_128, type, esk24_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_129, type, esk25_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_130, type, esk26_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_131, type, esk27_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_132, type, esk28_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_133, type, esk29_2: $i > ($i > $o) > $i). 0.21/0.52 thf(decl_134, type, esk30_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_135, type, esk31_1: ($i > $o) > $i). 0.21/0.52 thf(decl_136, type, esk32_1: ($i > $o) > $i). 0.21/0.52 thf(decl_137, type, esk33_1: ($i > $o) > $i). 0.21/0.52 thf(decl_138, type, esk34_1: ($i > $o) > $i). 0.21/0.52 thf(decl_139, type, esk35_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_140, type, esk36_1: ($i > $o) > $i). 0.21/0.52 thf(decl_141, type, esk37_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_142, type, esk38_2: ($i > $o) > ($i > $o) > $i). 0.21/0.52 thf(decl_143, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.21/0.52 thf(decl_144, type, esk40_3: ($i > $o) > ($i > $o) > $i > $i). 0.21/0.52 thf(decl_145, type, esk41_2: ($i > $o) > ($i > $o) > $i). 0.21/0.52 thf(decl_146, type, esk42_3: ($i > $o) > ($i > $o) > $i > $i). 0.21/0.52 thf(decl_147, type, esk43_2: ($i > $o) > ($i > $o) > $i). 0.21/0.52 thf(decl_148, type, esk44_0: $i). 0.21/0.52 thf(decl_149, type, esk45_0: $i). 0.21/0.52 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', nonempty)). 0.21/0.52 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuE3e)). 0.21/0.52 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exu)). 0.21/0.52 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuE1)). 0.21/0.52 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', replAx)). 0.21/0.52 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', nonemptyI)). 0.21/0.52 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuI2)). 0.21/0.52 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuE3u)). 0.21/0.52 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exu__Cong)). 0.21/0.52 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuI3)). 0.21/0.52 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', exuI1)). 0.21/0.52 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.BE5L0l2UNH/Vampire---4.8_30039', exuE2)). 0.21/0.52 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', nonemptyI1)). 0.21/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', dsetconstrER)). 0.21/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', dsetconstrEL)). 0.21/0.52 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', dsetconstrI)). 0.21/0.52 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyE1)). 0.21/0.52 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', nonemptyImpWitness)). 0.21/0.52 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setoftrueEq)). 0.21/0.52 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', nonemptyE1)). 0.21/0.52 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setbeta)). 0.21/0.52 thf(setunion__Cong, conjecture, ((setextAx)=>((emptysetAx)=>(((powersetAx)=>((setunionAx)=>(((omegaSAx)=>((((foundationAx)=>((wellorderingAx)=>((descrp)=>(((((((((((setext)=>((emptyI)=>(((setbeta)=>((nonemptyE1)=>((nonemptyI)=>(((((setadjoinIR)=>((setadjoinE)=>((((powersetI)=>(((emptyInPowerset)=>((powersetE)=>((((subPowSU)=>((((uniqinunit)=>((notinsingleton)=>(((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((((((notdexE)=>(((((exuI2)=>((inCongP)=>(((exuE3u)=>(((emptyset__Cong)=>(((powerset__Cong)=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5)))))<=(setadjoin__Cong)))<=(exu__Cong)))<=(in__Cong))))<=(exuI3))<=(exuI1))<=(notdallE)))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3))))))))))<=(eqinunit))))<=(nonemptyImpWitness))<=(exuE2)))<=(setunionE))<=(setunionI))))<=(emptyinPowerset)))<=(setoftrueEq))<=(setadjoinOr))))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1)))))<=(noeltsimpempty))))<=(exuE3e))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE))<=(prop2setE))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI)))))<=(replAx))<=(omegaIndAx)))<=(omega0Ax))))<=(setadjoinAx)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setunion__Cong)). 0.21/0.52 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoinIR)). 0.21/0.52 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', upairsetE)). 0.21/0.52 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoinAx)). 0.21/0.52 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', noeltsimpempty)). 0.21/0.52 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', powersetI)). 0.21/0.52 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', notinemptyset)). 0.21/0.52 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyInPowerset)). 0.21/0.52 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptysetimpfalse)). 0.21/0.52 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptysetE)). 0.21/0.52 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', prop2setE)). 0.21/0.52 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', powersetE)). 0.21/0.52 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', subPowSU)). 0.21/0.52 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', uniqinunit)). 0.21/0.52 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', omegaIndAx)). 0.21/0.52 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', omega0Ax)). 0.21/0.52 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', notinsingleton)). 0.21/0.52 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', singletonsswitch)). 0.21/0.52 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', in__Cong)). 0.21/0.52 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', upairsetIL)). 0.21/0.52 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', upairsetIR)). 0.21/0.52 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', vacuousDall)). 0.21/0.52 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', quantDeMorgan1)). 0.21/0.52 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', quantDeMorgan2)). 0.21/0.52 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', notdexE)). 0.21/0.52 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoinE)). 0.21/0.52 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', inCongP)). 0.21/0.52 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyset__Cong)). 0.21/0.52 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', powerset__Cong)). 0.21/0.52 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoin__Cong)). 0.21/0.52 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', notdallE)). 0.21/0.52 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', prop2setI)). 0.21/0.52 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', quantDeMorgan4)). 0.21/0.52 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', quantDeMorgan3)). 0.21/0.52 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', eqinunit)). 0.21/0.52 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setunionE)). 0.21/0.52 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setunionI)). 0.21/0.52 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyinPowerset)). 0.21/0.52 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoinOr)). 0.21/0.52 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyinunitempty)). 0.21/0.52 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setadjoinIL)). 0.21/0.52 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptyI)). 0.21/0.52 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.BE5L0l2UNH/Vampire---4.8_30039', setext)). 0.21/0.52 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', wellorderingAx)). 0.21/0.52 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', foundationAx)). 0.21/0.52 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', omegaSAx)). 0.21/0.52 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setunionAx)). 0.21/0.52 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', powersetAx)). 0.21/0.52 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', emptysetAx)). 0.21/0.52 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.BE5L0l2UNH/Vampire---4.8_30039', setextAx)). 0.21/0.52 thf(c_0_71, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.21/0.52 thf(c_0_72, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.21/0.52 thf(c_0_73, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.21/0.52 thf(c_0_74, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.21/0.52 thf(c_0_75, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.21/0.52 thf(c_0_76, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.21/0.52 thf(c_0_77, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.21/0.52 thf(c_0_78, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.21/0.52 thf(c_0_79, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.21/0.52 thf(c_0_80, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.21/0.52 thf(c_0_81, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.21/0.52 thf(c_0_82, 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])). 0.21/0.52 thf(c_0_83, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_71])). 0.21/0.52 thf(c_0_84, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X220:$i]:((((X1 @ X220))&![X221:$i]:((((X1 @ X221))=>((X220)=(X221)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_72, c_0_73])). 0.21/0.52 thf(c_0_85, plain, ((exuE1)=(![X1:$i > $o]:(((?[X218:$i]:((((X1 @ X218))&![X219:$i]:((((X1 @ X219))=>((X218)=(X219)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_74, c_0_73])). 0.21/0.52 thf(c_0_86, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.21/0.52 thf(c_0_87, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.21/0.52 thf(c_0_88, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.21/0.52 thf(c_0_89, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X216:$i]:((((X6 @ X2 @ X216))&![X217:$i]:((((X6 @ X2 @ X217))=>((X216)=(X217)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_75, c_0_73])). 0.21/0.52 thf(c_0_90, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_76, c_0_71])). 0.21/0.52 thf(c_0_91, plain, ((emptyE1)<=>![X4:$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])). 0.21/0.52 thf(c_0_92, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X228:$i]:((((X1 @ X228))&![X229:$i]:((((X1 @ X229))=>((X228)=(X229))))))))))), inference(apply_def,[status(thm)],[c_0_77, c_0_73])). 0.21/0.52 thf(c_0_93, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X230:$i]:((((X1 @ X230))&![X231:$i]:((((X1 @ X231))=>((X230)=(X231)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_78, c_0_73])). 0.21/0.52 thf(c_0_94, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X232:$i]:((((X1 @ X232))&![X233:$i]:((((X1 @ X233))=>((X232)=(X233)))))))<=>(?[X234:$i]:((((X17 @ X234))&![X235:$i]:((((X17 @ X235))=>((X234)=(X235)))))))))))), inference(apply_def,[status(thm)],[c_0_79, c_0_73])). 0.21/0.52 thf(c_0_95, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X226:$i]:((((X1 @ X226))&![X227:$i]:((((X1 @ X227))=>((X226)=(X227)))))))))))), inference(apply_def,[status(thm)],[c_0_80, c_0_73])). 0.21/0.52 thf(c_0_96, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X224:$i]:((((X1 @ X224))&![X225:$i]:((((X1 @ X225))=>((X224)=(X225))))))))))), inference(apply_def,[status(thm)],[c_0_81, c_0_73])). 0.21/0.52 thf(c_0_97, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_71])). 0.21/0.52 thf(c_0_98, plain, ((exuE2)=(![X1:$i > $o]:(((?[X222:$i]:((((X1 @ X222))&![X223:$i]:((((X1 @ X223))=>((X222)=(X223)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_82, c_0_73])). 0.21/0.52 thf(c_0_99, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.21/0.52 thf(c_0_100, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_71])). 0.21/0.52 thf(c_0_101, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.21/0.52 thf(c_0_102, plain, ((epred1_0)<=>![X251:$i]:(?[X252:$i]:((((![X253:$i]:(((in @ X253 @ X252)=>![X254:$i]:(((in @ X254 @ X253)=>(in @ X254 @ X251)))))&![X255:$i, X256:$i]:((((in @ X255 @ X251)&(in @ X256 @ X251))=>(![X257:$i]:(((in @ X257 @ X252)=>((in @ X255 @ X257)<=>(in @ X256 @ X257))))=>((X255)=(X256))))))&![X258:$i, X259:$i]:((((in @ X258 @ X252)&(in @ X259 @ X252))=>(![X260:$i]:(((in @ X260 @ X258)=>(in @ X260 @ X259)))|![X261:$i]:(((in @ X261 @ X259)=>(in @ X261 @ X258)))))))&![X262:$i]:(((![X263:$i]:(((in @ X263 @ X262)=>(in @ X263 @ X251)))&?[X264:$i]:((in @ X264 @ X262)))=>?[X265:$i, X266:$i]:(((((in @ X265 @ X252)&(in @ X266 @ X262))&~(?[X267:$i]:(((in @ X267 @ X265)&(in @ X267 @ X262)))))&![X268:$i]:(((in @ X268 @ X252)=>(![X269:$i]:(((in @ X269 @ X268)=>(in @ X269 @ X265)))|(in @ X266 @ X268)))))))))))), introduced(definition)). 0.21/0.52 thf(c_0_103, negated_conjecture, ~((![X236:$i, X237:$i]:((![X238:$i]:(((in @ X238 @ X236)<=>(in @ X238 @ X237)))=>((X236)=(X237))))=>(![X239:$i]:(~(in @ X239 @ emptyset))=>(![X448:$i, X449:$i, X450:$i]:(((in @ X450 @ (setadjoin @ X448 @ X449))<=>(((X450)=(X448))|(in @ X450 @ X449))))=>(![X240:$i, X241:$i]:(((in @ X241 @ (powerset @ X240))<=>![X242:$i]:(((in @ X242 @ X241)=>(in @ X242 @ X240)))))=>(![X243:$i, X244:$i]:(((in @ X244 @ (setunion @ X243))<=>?[X245:$i]:(((in @ X244 @ X245)&(in @ X245 @ X243)))))=>((in @ emptyset @ omega)=>(![X246:$i]:(((in @ X246 @ omega)=>(in @ (setadjoin @ X246 @ X246) @ omega)))=>(![X445:$i]:((((in @ emptyset @ X445)&![X446:$i]:((((in @ X446 @ omega)&(in @ X446 @ X445))=>(in @ (setadjoin @ X446 @ X446) @ X445))))=>![X447:$i]:(((in @ X447 @ omega)=>(in @ X447 @ X445)))))=>(![X437:$i > $i > $o, X438:$i]:((![X439:$i]:(((in @ X439 @ X438)=>?[X440:$i]:(((X437 @ X439 @ X440)&![X441:$i]:(((X437 @ X439 @ X441)=>((X440)=(X441))))))))=>?[X442:$i]:(![X443:$i]:(((in @ X443 @ X442)<=>?[X444:$i]:(((in @ X444 @ X438)&(X437 @ X444 @ X443))))))))=>(![X247:$i]:((?[X248:$i]:((in @ X248 @ X247))=>?[X249:$i]:(((in @ X249 @ X247)&~(?[X250:$i]:(((in @ X250 @ X249)&(in @ X250 @ X247))))))))=>((epred1_0)=>((descrp)=>(![X434:$i, X435:$i > $o, X436:$i]:(((in @ X436 @ X434)=>((X435 @ X436)=>(in @ X436 @ (dsetconstr @ X434 @ (^[Z0/* 3 */:$i]:((X435 @ Z0))))))))=>(![X431:$i, X432:$i > $o, X433:$i]:(((in @ X433 @ (dsetconstr @ X431 @ (^[Z0/* 3 */:$i]:((X432 @ Z0)))))=>(in @ X433 @ X431)))=>(![X428:$i, X429:$i > $o, X430:$i]:(((in @ X430 @ (dsetconstr @ X428 @ (^[Z0/* 3 */:$i]:((X429 @ Z0)))))=>(X429 @ X430)))=>(![X423:$i > $o]:((?[X424:$i]:(((X423 @ X424)&![X425:$i]:(((X423 @ X425)=>((X424)=(X425))))))=>?[X426:$i]:(((X423 @ X426)&![X427:$i]:(((X423 @ X427)=>((X426)=(X427))))))))=>(![X421:$o, X422:$i]:(((in @ X422 @ (prop2set @ ((X421))))=>(X421)))=>(![X419:$i]:(((in @ X419 @ emptyset)=>![X420:$o]:((X420))))=>(![X418:$i]:(~(in @ X418 @ emptyset))=>(![X417:$i]:(~(in @ X417 @ emptyset))=>(![X413:$i > $o]:((?[X414:$i]:(((X413 @ X414)&![X415:$i]:(((X413 @ X415)=>((X414)=(X415))))))=>?[X416:$i]:((X413 @ X416))))=>(![X270:$i, X271:$i]:((![X272:$i]:(((in @ X272 @ X270)=>(in @ X272 @ X271)))=>(![X273:$i]:(((in @ X273 @ X271)=>(in @ X273 @ X270)))=>((X270)=(X271)))))=>(![X274:$i]:((![X275:$i]:(~(in @ X275 @ X274))=>((X274)=(emptyset))))=>(![X411:$i]:((![X412:$i]:(~(in @ X412 @ X411))=>((X411)=(emptyset))))=>(![X276:$i, X277:$i > $o, X278:$i]:(((in @ X278 @ X276)=>((in @ X278 @ (dsetconstr @ X276 @ (^[Z0/* 3 */:$i]:((X277 @ Z0)))))<=>(X277 @ X278))))=>(![X279:$i]:((((X279)!=(emptyset))=>?[X280:$i]:((in @ X280 @ X279))))=>(![X281:$i, X282:$i > $o, X283:$i]:(((in @ X283 @ X281)=>((X282 @ X283)=>((dsetconstr @ X281 @ (^[Z0/* 3 */:$i]:((X282 @ Z0))))!=(emptyset)))))=>(![X409:$i]:((?[X410:$i]:((in @ X410 @ X409))=>((X409)!=(emptyset))))=>(![X407:$i, X408:$i]:((in @ X407 @ (setadjoin @ X407 @ X408)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X284:$i, X285:$i, X286:$i]:(((in @ X286 @ X285)=>(in @ X286 @ (setadjoin @ X284 @ X285))))=>(![X287:$i, X288:$i, X289:$i]:(((in @ X289 @ (setadjoin @ X287 @ X288))=>![X290:$o]:(((((X289)=(X287))=>(X290))=>(((in @ X289 @ X288)=>(X290))=>(X290))))))=>(![X404:$i, X405:$i, X406:$i]:(((in @ X406 @ (setadjoin @ X404 @ X405))=>(((X406)=(X404))|(in @ X406 @ X405))))=>(![X403:$i]:(((dsetconstr @ X403 @ (^[Z0/* 3 */:$i]:(($true))))=(X403)))=>(![X291:$i, X292:$i]:((![X293:$i]:(((in @ X293 @ X292)=>(in @ X293 @ X291)))=>(in @ X292 @ (powerset @ X291))))=>(![X402:$i]:((in @ emptyset @ (powerset @ X402)))=>(![X294:$i]:((in @ emptyset @ (powerset @ X294)))=>(![X295:$i, X296:$i, X297:$i]:(((in @ X296 @ (powerset @ X295))=>((in @ X297 @ X296)=>(in @ X297 @ X295))))=>(![X399:$i, X400:$i, X401:$i]:(((in @ X400 @ X401)=>((in @ X401 @ X399)=>(in @ X400 @ (setunion @ X399)))))=>(![X395:$i, X396:$i]:(((in @ X396 @ (setunion @ X395))=>![X397:$o]:((![X398:$i]:(((in @ X396 @ X398)=>((in @ X398 @ X395)=>(X397))))=>(X397)))))=>(![X298:$i, X299:$i]:(((in @ X299 @ X298)=>(in @ X299 @ (powerset @ (setunion @ X298)))))=>(![X390:$i > $o]:((?[X391:$i]:(((X390 @ X391)&![X392:$i]:(((X390 @ X392)=>((X391)=(X392))))))=>?[X393:$i]:(![X394:$i]:(((X390 @ X394)<=>((X394)=(X393)))))))=>(![X388:$i]:((((X388)!=(emptyset))=>?[X389:$i]:((in @ X389 @ X388))))=>(![X300:$i, X301:$i]:(((in @ X300 @ (setadjoin @ X301 @ emptyset))=>((X300)=(X301))))=>(![X302:$i, X303:$i]:((((X302)!=(X303))=>~(in @ X303 @ (setadjoin @ X302 @ emptyset))))=>(![X386:$i, X387:$i]:((((X386)=(X387))=>(in @ X386 @ (setadjoin @ X387 @ emptyset))))=>(![X304:$i, X305:$i]:(((in @ X304 @ (setadjoin @ X305 @ emptyset))=>(in @ X305 @ (setadjoin @ X304 @ emptyset))))=>(![X306:$i, X307:$i, X308:$i]:(((in @ X308 @ (setadjoin @ X306 @ (setadjoin @ X307 @ emptyset)))=>(((X308)=(X306))|((X308)=(X307)))))=>(![X309:$i, X310:$i]:((in @ X309 @ (setadjoin @ X309 @ (setadjoin @ X310 @ emptyset))))=>(![X311:$i, X312:$i]:((in @ X312 @ (setadjoin @ X311 @ (setadjoin @ X312 @ emptyset))))=>(![X313:$i, X314:$i > $o]:((?[X315:$i]:(((in @ X315 @ X313)&(X314 @ X315)))=>((dsetconstr @ X313 @ (^[Z0/* 3 */:$i]:((X314 @ Z0))))!=(emptyset))))=>(![X316:$i > $o, X317:$i]:(((in @ X317 @ emptyset)=>(X316 @ X317)))=>(![X318:$i, X319:$i > $o]:((~(![X320:$i]:(((in @ X320 @ X318)=>(X319 @ X320))))=>?[X321:$i]:(((in @ X321 @ X318)&~(X319 @ X321)))))=>(![X322:$i, X323:$i > $o]:((![X324:$i]:(((in @ X324 @ X322)=>~(X323 @ X324)))=>~(?[X325:$i]:(((in @ X325 @ X322)&(X323 @ X325))))))=>(![X382:$i, X383:$i > $o]:((~(?[X384:$i]:(((in @ X384 @ X382)&(X383 @ X384))))=>![X385:$i]:(((in @ X385 @ X382)=>~(X383 @ X385)))))=>(![X378:$i, X379:$i > $o]:((?[X380:$i]:(((in @ X380 @ X378)&~(X379 @ X380)))=>~(![X381:$i]:(((in @ X381 @ X378)=>(X379 @ X381))))))=>(![X377:$o]:(((X377)=>(in @ emptyset @ (prop2set @ ((X377))))))=>((prop2set2propI)=>(![X326:$i, X327:$i > $o]:((~(?[X328:$i]:(((in @ X328 @ X326)&(X327 @ X328))))=>![X329:$i]:(((in @ X329 @ X326)=>~(X327 @ X329)))))=>(![X373:$i, X374:$i > $o]:((~(![X375:$i]:(((in @ X375 @ X373)=>(X374 @ X375))))=>?[X376:$i]:(((in @ X376 @ X373)&~(X374 @ X376)))))=>(![X368:$i > $o]:((?[X369:$i]:(((X368 @ X369)&![X370:$i]:(((X368 @ X370)=>((X369)=(X370))))))=>?[X371:$i]:(((X368 @ X371)&![X372:$i]:(((X368 @ X372)=>((X371)=(X372))))))))=>(![X362:$i > $o]:((?[X363:$i]:((X362 @ X363))=>(![X364:$i, X365:$i]:(((X362 @ X364)=>((X362 @ X365)=>((X364)=(X365)))))=>?[X366:$i]:(((X362 @ X366)&![X367:$i]:(((X362 @ X367)=>((X366)=(X367)))))))))=>(![X330:$i > $o]:((?[X331:$i]:(![X332:$i]:(((X330 @ X332)<=>((X332)=(X331)))))=>?[X333:$i]:(((X330 @ X333)&![X334:$i]:(((X330 @ X334)=>((X333)=(X334))))))))=>(![X335:$i, X336:$i]:((((X335)=(X336))=>![X337:$i, X338:$i]:((((X337)=(X338))=>((in @ X337 @ X335)=>(in @ X338 @ X336))))))=>(![X358:$i, X359:$i]:((((X358)=(X359))=>![X360:$i, X361:$i]:((((X360)=(X361))=>((in @ X360 @ X358)<=>(in @ X361 @ X359))))))=>(![X339:$i > $o]:((?[X340:$i]:(((X339 @ X340)&![X341:$i]:(((X339 @ X341)=>((X340)=(X341))))))=>![X342:$i, X343:$i]:(((X339 @ X342)=>((X339 @ X343)=>((X342)=(X343)))))))=>(![X350:$i > $o, X351:$i > $o]:((![X352:$i, X353:$i]:((((X352)=(X353))=>((X350 @ X352)<=>(X351 @ X353))))=>(?[X354:$i]:(((X350 @ X354)&![X355:$i]:(((X350 @ X355)=>((X354)=(X355))))))<=>?[X356:$i]:(((X351 @ X356)&![X357:$i]:(((X351 @ X357)=>((X356)=(X357)))))))))=>(((emptyset)=(emptyset))=>(![X346:$i, X347:$i]:((((X346)=(X347))=>![X348:$i, X349:$i]:((((X348)=(X349))=>((setadjoin @ X346 @ X348)=(setadjoin @ X347 @ X349))))))=>(![X344:$i, X345:$i]:((((X344)=(X345))=>((powerset @ X344)=(powerset @ X345))))=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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)],[setunion__Cong]), setadjoinIR]), upairsetE]), setadjoinAx]), c_0_83]), noeltsimpempty]), powersetI]), c_0_84]), notinemptyset]), emptyInPowerset]), emptysetimpfalse]), emptysetE]), prop2setE]), powersetE]), c_0_85]), c_0_86]), subPowSU]), c_0_87]), c_0_88]), c_0_89]), uniqinunit]), omegaIndAx]), omega0Ax]), c_0_90]), notinsingleton]), singletonsswitch]), in__Cong]), upairsetIL]), upairsetIR]), c_0_91]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), notdexE]), c_0_92]), setadjoinE]), inCongP]), c_0_93]), emptyset__Cong]), powerset__Cong]), setadjoin__Cong]), c_0_94]), c_0_95]), c_0_96]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), eqinunit]), c_0_97]), c_0_98]), setunionE]), setunionI]), emptyinPowerset]), c_0_99]), setadjoinOr]), emptyinunitempty]), setadjoinIL]), c_0_100]), c_0_101]), emptyI]), setext]), wellorderingAx]), foundationAx]), omegaSAx]), setunionAx]), powersetAx]), emptysetAx]), setextAx])]), c_0_102])). 0.21/0.52 thf(c_0_104, negated_conjecture, ![X451:$i, X452:$i, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i, X461:$i, X462:$i, X464:$i, X465:$i, X467:$i, X468:$i, X469:$i, X470:$i, X471:$i, X473:$i, X474:$i > $i > $o, X475:$i, X477:$i, X480:$i, X482:$i, X483:$i, X484:$i, X485:$i, X487:$i, X488:$i, X489:$i > $o, X490:$i, X491:$i, X492:$i > $o, X493:$i, X494:$i, X495:$i > $o, X496:$i, X497:$i > $o, X498:$i, X501:$i, X502:$o, X503:$i, X504:$i, X505:$o, X506:$i, X507:$i, X508:$i > $o, X509:$i, X512:$i, X513:$i, X516:$i, X518:$i, X520:$i, X521:$i > $o, X522:$i, X523:$i, X525:$i, X526:$i > $o, X527:$i, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$o, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X544:$i, X546:$i, X547:$i, X548:$i, X549:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$o, X558:$i, X559:$i, X560:$i > $o, X561:$i, X564:$i, X565:$i, X566:$i, X568:$i, X569:$i, X570:$i, X571:$i, X572:$i, X573:$i, X574:$i, X575:$i, X576:$i, X577:$i, X578:$i, X579:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i > $o, X585:$i, X586:$i > $o, X587:$i, X588:$i, X589:$i > $o, X590:$i, X592:$i, X593:$i > $o, X595:$i, X596:$i, X597:$i > $o, X599:$i, X600:$i, X601:$i > $o, X602:$i, X604:$o, X605:$i, X606:$i > $o, X608:$i, X609:$i, X610:$i > $o, X611:$i, X613:$i > $o, X614:$i, X617:$i, X618:$i > $o, X619:$i, X623:$i, X624:$i > $o, X625:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i > $o, X638:$i, X640:$i, X641:$i, X642:$i > $o, X643:$i > $o, X646:$i, X649:$i, X650:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i]:((((~(in @ (esk1_2 @ X451 @ X452) @ X451)|~(in @ (esk1_2 @ X451 @ X452) @ X452)|((X451)=(X452)))&((in @ (esk1_2 @ X451 @ X452) @ X451)|(in @ (esk1_2 @ X451 @ X452) @ X452)|((X451)=(X452))))&(~(in @ X454 @ emptyset)&(((~(in @ X457 @ (setadjoin @ X455 @ X456))|(((X457)=(X455))|(in @ X457 @ X456)))&((((X457)!=(X455))|(in @ X457 @ (setadjoin @ X455 @ X456)))&(~(in @ X457 @ X456)|(in @ X457 @ (setadjoin @ X455 @ X456)))))&(((~(in @ X459 @ (powerset @ X458))|(~(in @ X460 @ X459)|(in @ X460 @ X458)))&(((in @ (esk2_2 @ X461 @ X462) @ X462)|(in @ X462 @ (powerset @ X461)))&(~(in @ (esk2_2 @ X461 @ X462) @ X461)|(in @ X462 @ (powerset @ X461)))))&(((((in @ X465 @ (esk3_2 @ X464 @ X465))|~(in @ X465 @ (setunion @ X464)))&((in @ (esk3_2 @ X464 @ X465) @ X464)|~(in @ X465 @ (setunion @ X464))))&(~(in @ X468 @ X469)|~(in @ X469 @ X467)|(in @ X468 @ (setunion @ X467))))&((in @ emptyset @ omega)&((~(in @ X470 @ omega)|(in @ (setadjoin @ X470 @ X470) @ omega))&(((((in @ (esk4_1 @ X471) @ omega)|~(in @ emptyset @ X471)|(~(in @ X473 @ omega)|(in @ X473 @ X471)))&((in @ (esk4_1 @ X471) @ X471)|~(in @ emptyset @ X471)|(~(in @ X473 @ omega)|(in @ X473 @ X471))))&(~(in @ (setadjoin @ (esk4_1 @ X471) @ (esk4_1 @ X471)) @ X471)|~(in @ emptyset @ X471)|(~(in @ X473 @ omega)|(in @ X473 @ X471))))&((((((in @ (esk8_3 @ X474 @ X475 @ X480) @ X475)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|(in @ (esk5_2 @ X474 @ X475) @ X475))&((X474 @ (esk8_3 @ X474 @ X475 @ X480) @ X480)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|(in @ (esk5_2 @ X474 @ X475) @ X475)))&(~(in @ X483 @ X475)|~(X474 @ X483 @ X482)|(in @ X482 @ (esk7_2 @ X474 @ X475))|(in @ (esk5_2 @ X474 @ X475) @ X475)))&(((((in @ (esk8_3 @ X474 @ X475 @ X480) @ X475)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|((X474 @ (esk5_2 @ X474 @ X475) @ (esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477)))&((X474 @ (esk8_3 @ X474 @ X475 @ X480) @ X480)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|((X474 @ (esk5_2 @ X474 @ X475) @ (esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477))))&(~(in @ X483 @ X475)|~(X474 @ X483 @ X482)|(in @ X482 @ (esk7_2 @ X474 @ X475))|((X474 @ (esk5_2 @ X474 @ X475) @ (esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477))))&((((in @ (esk8_3 @ X474 @ X475 @ X480) @ X475)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|(((X477)!=(esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477)))&((X474 @ (esk8_3 @ X474 @ X475 @ X480) @ X480)|~(in @ X480 @ (esk7_2 @ X474 @ X475))|(((X477)!=(esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477))))&(~(in @ X483 @ X475)|~(X474 @ X483 @ X482)|(in @ X482 @ (esk7_2 @ X474 @ X475))|(((X477)!=(esk6_3 @ X474 @ X475 @ X477))|~(X474 @ (esk5_2 @ X474 @ X475) @ X477))))))&((((in @ (esk9_1 @ X484) @ X484)|~(in @ X485 @ X484))&(~(in @ X487 @ (esk9_1 @ X484))|~(in @ X487 @ X484)|~(in @ X485 @ X484)))&((epred1_0)&((descrp)&((~(in @ X490 @ X488)|(~(X489 @ X490)|(in @ X490 @ (dsetconstr @ X488 @ (^[Z0/* 3 */:$i]:((X489 @ Z0)))))))&((~(in @ X493 @ (dsetconstr @ X491 @ (^[Z0/* 3 */:$i]:((X492 @ Z0)))))|(in @ X493 @ X491))&((~(in @ X496 @ (dsetconstr @ X494 @ (^[Z0/* 3 */:$i]:((X495 @ Z0)))))|(X495 @ X496))&(((((X497 @ (esk11_1 @ X497))|((X497 @ (esk10_2 @ X497 @ X498))|~(X497 @ X498)))&(~(X497 @ X501)|((esk11_1 @ X497)=(X501))|((X497 @ (esk10_2 @ X497 @ X498))|~(X497 @ X498))))&(((X497 @ (esk11_1 @ X497))|(((X498)!=(esk10_2 @ X497 @ X498))|~(X497 @ X498)))&(~(X497 @ X501)|((esk11_1 @ X497)=(X501))|(((X498)!=(esk10_2 @ X497 @ X498))|~(X497 @ X498)))))&((~(in @ X503 @ (prop2set @ ((X502))))|(X502))&((~(in @ X504 @ emptyset)|(X505))&(~(in @ X506 @ emptyset)&(~(in @ X507 @ emptyset)&((((X508 @ (esk12_2 @ X508 @ X509))|~(X508 @ X509)|(X508 @ (esk13_1 @ X508)))&(((X509)!=(esk12_2 @ X508 @ X509))|~(X508 @ X509)|(X508 @ (esk13_1 @ X508))))&(((((in @ (esk15_2 @ X512 @ X513) @ X513)|((X512)=(X513))|(in @ (esk14_2 @ X512 @ X513) @ X512))&(~(in @ (esk15_2 @ X512 @ X513) @ X512)|((X512)=(X513))|(in @ (esk14_2 @ X512 @ X513) @ X512)))&(((in @ (esk15_2 @ X512 @ X513) @ X513)|((X512)=(X513))|~(in @ (esk14_2 @ X512 @ X513) @ X513))&(~(in @ (esk15_2 @ X512 @ X513) @ X512)|((X512)=(X513))|~(in @ (esk14_2 @ X512 @ X513) @ X513))))&(((in @ (esk16_1 @ X516) @ X516)|((X516)=(emptyset)))&(((in @ (esk17_1 @ X518) @ X518)|((X518)=(emptyset)))&(((~(in @ X522 @ (dsetconstr @ X520 @ (^[Z0/* 3 */:$i]:((X521 @ Z0)))))|(X521 @ X522)|~(in @ X522 @ X520))&(~(X521 @ X522)|(in @ X522 @ (dsetconstr @ X520 @ (^[Z0/* 3 */:$i]:((X521 @ Z0)))))|~(in @ X522 @ X520)))&((((X523)=(emptyset))|(in @ (esk18_1 @ X523) @ X523))&((~(in @ X527 @ X525)|(~(X526 @ X527)|((dsetconstr @ X525 @ (^[Z0/* 3 */:$i]:((X526 @ Z0))))!=(emptyset))))&((~(in @ X529 @ X528)|((X528)!=(emptyset)))&((in @ X530 @ (setadjoin @ X530 @ X531))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X534 @ X533)|(in @ X534 @ (setadjoin @ X532 @ X533)))&(((((in @ X537 @ X536)|(X538)|((X537)=(X535))|~(in @ X537 @ (setadjoin @ X535 @ X536)))&(~(X538)|(X538)|((X537)=(X535))|~(in @ X537 @ (setadjoin @ X535 @ X536))))&(((in @ X537 @ X536)|(X538)|~(X538)|~(in @ X537 @ (setadjoin @ X535 @ X536)))&(~(X538)|(X538)|~(X538)|~(in @ X537 @ (setadjoin @ X535 @ X536)))))&((~(in @ X541 @ (setadjoin @ X539 @ X540))|(((X541)=(X539))|(in @ X541 @ X540)))&(((dsetconstr @ X542 @ (^[Z0/* 3 */:$i]:(($true))))=(X542))&((((in @ (esk19_2 @ X543 @ X544) @ X544)|(in @ X544 @ (powerset @ X543)))&(~(in @ (esk19_2 @ X543 @ X544) @ X543)|(in @ X544 @ (powerset @ X543))))&((in @ emptyset @ (powerset @ X546))&((in @ emptyset @ (powerset @ X547))&((~(in @ X549 @ (powerset @ X548))|(~(in @ X550 @ X549)|(in @ X550 @ X548)))&((~(in @ X552 @ X553)|(~(in @ X553 @ X551)|(in @ X552 @ (setunion @ X551))))&((((in @ X555 @ (esk20_3 @ X554 @ X555 @ X556))|(X556)|~(in @ X555 @ (setunion @ X554)))&(((in @ (esk20_3 @ X554 @ X555 @ X556) @ X554)|(X556)|~(in @ X555 @ (setunion @ X554)))&(~(X556)|(X556)|~(in @ X555 @ (setunion @ X554)))))&((~(in @ X559 @ X558)|(in @ X559 @ (powerset @ (setunion @ X558))))&((((~(X560 @ X564)|((X564)=(esk22_1 @ X560))|((X560 @ (esk21_2 @ X560 @ X561))|~(X560 @ X561)))&(((X565)!=(esk22_1 @ X560))|(X560 @ X565)|((X560 @ (esk21_2 @ X560 @ X561))|~(X560 @ X561))))&((~(X560 @ X564)|((X564)=(esk22_1 @ X560))|(((X561)!=(esk21_2 @ X560 @ X561))|~(X560 @ X561)))&(((X565)!=(esk22_1 @ X560))|(X560 @ X565)|(((X561)!=(esk21_2 @ X560 @ X561))|~(X560 @ X561)))))&((((X566)=(emptyset))|(in @ (esk23_1 @ X566) @ X566))&((~(in @ X568 @ (setadjoin @ X569 @ emptyset))|((X568)=(X569)))&((((X570)=(X571))|~(in @ X571 @ (setadjoin @ X570 @ emptyset)))&((((X572)!=(X573))|(in @ X572 @ (setadjoin @ X573 @ emptyset)))&((~(in @ X574 @ (setadjoin @ X575 @ emptyset))|(in @ X575 @ (setadjoin @ X574 @ emptyset)))&((~(in @ X578 @ (setadjoin @ X576 @ (setadjoin @ X577 @ emptyset)))|(((X578)=(X576))|((X578)=(X577))))&((in @ X579 @ (setadjoin @ X579 @ (setadjoin @ X580 @ emptyset)))&((in @ X582 @ (setadjoin @ X581 @ (setadjoin @ X582 @ emptyset)))&((~(in @ X585 @ X583)|~(X584 @ X585)|((dsetconstr @ X583 @ (^[Z0/* 3 */:$i]:((X584 @ Z0))))!=(emptyset)))&((~(in @ X587 @ emptyset)|(X586 @ X587))&((((in @ (esk24_2 @ X588 @ X589) @ X588)|(~(in @ X590 @ X588)|(X589 @ X590)))&(~(X589 @ (esk24_2 @ X588 @ X589))|(~(in @ X590 @ X588)|(X589 @ X590))))&((((in @ (esk25_2 @ X592 @ X593) @ X592)|(~(in @ X595 @ X592)|~(X593 @ X595)))&((X593 @ (esk25_2 @ X592 @ X593))|(~(in @ X595 @ X592)|~(X593 @ X595))))&((((in @ (esk26_2 @ X596 @ X597) @ X596)|(~(in @ X599 @ X596)|~(X597 @ X599)))&((X597 @ (esk26_2 @ X596 @ X597))|(~(in @ X599 @ X596)|~(X597 @ X599))))&((((in @ (esk27_2 @ X600 @ X601) @ X600)|(~(in @ X602 @ X600)|(X601 @ X602)))&(~(X601 @ (esk27_2 @ X600 @ X601))|(~(in @ X602 @ X600)|(X601 @ X602))))&((~(X604)|(in @ emptyset @ (prop2set @ ((X604)))))&((prop2set2propI)&((((in @ (esk28_2 @ X605 @ X606) @ X605)|(~(in @ X608 @ X605)|~(X606 @ X608)))&((X606 @ (esk28_2 @ X605 @ X606))|(~(in @ X608 @ X605)|~(X606 @ X608))))&((((in @ (esk29_2 @ X609 @ X610) @ X609)|(~(in @ X611 @ X609)|(X610 @ X611)))&(~(X610 @ (esk29_2 @ X609 @ X610))|(~(in @ X611 @ X609)|(X610 @ X611))))&(((((X613 @ (esk31_1 @ X613))|((X613 @ (esk30_2 @ X613 @ X614))|~(X613 @ X614)))&(~(X613 @ X617)|((esk31_1 @ X613)=(X617))|((X613 @ (esk30_2 @ X613 @ X614))|~(X613 @ X614))))&(((X613 @ (esk31_1 @ X613))|(((X614)!=(esk30_2 @ X613 @ X614))|~(X613 @ X614)))&(~(X613 @ X617)|((esk31_1 @ X613)=(X617))|(((X614)!=(esk30_2 @ X613 @ X614))|~(X613 @ X614)))))&(((((X618 @ (esk34_1 @ X618))|(X618 @ (esk32_1 @ X618))|~(X618 @ X619))&(~(X618 @ X623)|((esk34_1 @ X618)=(X623))|(X618 @ (esk32_1 @ X618))|~(X618 @ X619)))&((((X618 @ (esk34_1 @ X618))|(X618 @ (esk33_1 @ X618))|~(X618 @ X619))&(~(X618 @ X623)|((esk34_1 @ X618)=(X623))|(X618 @ (esk33_1 @ X618))|~(X618 @ X619)))&(((X618 @ (esk34_1 @ X618))|((esk32_1 @ X618)!=(esk33_1 @ X618))|~(X618 @ X619))&(~(X618 @ X623)|((esk34_1 @ X618)=(X623))|((esk32_1 @ X618)!=(esk33_1 @ X618))|~(X618 @ X619)))))&(((((X624 @ (esk36_1 @ X624))|(~(X624 @ (esk35_2 @ X624 @ X625))|((esk35_2 @ X624 @ X625)!=(X625))))&(~(X624 @ X628)|((esk36_1 @ X624)=(X628))|(~(X624 @ (esk35_2 @ X624 @ X625))|((esk35_2 @ X624 @ X625)!=(X625)))))&(((X624 @ (esk36_1 @ X624))|((X624 @ (esk35_2 @ X624 @ X625))|((esk35_2 @ X624 @ X625)=(X625))))&(~(X624 @ X628)|((esk36_1 @ X624)=(X628))|((X624 @ (esk35_2 @ X624 @ X625))|((esk35_2 @ X624 @ X625)=(X625))))))&((((X629)!=(X630))|(((X631)!=(X632))|(~(in @ X631 @ X629)|(in @ X632 @ X630))))&(((~(in @ X635 @ X633)|(in @ X636 @ X634)|((X635)!=(X636))|((X633)!=(X634)))&(~(in @ X636 @ X634)|(in @ X635 @ X633)|((X635)!=(X636))|((X633)!=(X634))))&((((X637 @ (esk37_2 @ X637 @ X638))|~(X637 @ X638)|(~(X637 @ X640)|(~(X637 @ X641)|((X640)=(X641)))))&(((X638)!=(esk37_2 @ X637 @ X638))|~(X637 @ X638)|(~(X637 @ X640)|(~(X637 @ X641)|((X640)=(X641))))))&(((((((X643 @ (esk41_2 @ X642 @ X643))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643)))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643))))&(((X643 @ (esk41_2 @ X642 @ X643))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643)))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643)))))&((((X642 @ (esk43_2 @ X642 @ X643))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643)))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643))))&(((X642 @ (esk43_2 @ X642 @ X643))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643)))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((esk38_2 @ X642 @ X643)=(esk39_2 @ X642 @ X643))))))&((((((X643 @ (esk41_2 @ X642 @ X643))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643))))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643)))))&(((X643 @ (esk41_2 @ X642 @ X643))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643))))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643))))))&((((X642 @ (esk43_2 @ X642 @ X643))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643))))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643)))))&(((X642 @ (esk43_2 @ X642 @ X643))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643))))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|(~(X642 @ (esk38_2 @ X642 @ X643))|~(X643 @ (esk39_2 @ X642 @ X643)))))))&(((((X643 @ (esk41_2 @ X642 @ X643))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643))))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|((X642 @ (esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643)))))&(((X643 @ (esk41_2 @ X642 @ X643))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643))))&(~(X643 @ X649)|((esk41_2 @ X642 @ X643)=(X649))|(((X646)!=(esk40_3 @ X642 @ X643 @ X646))|~(X642 @ X646))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643))))))&((((X642 @ (esk43_2 @ X642 @ X643))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643))))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|((X643 @ (esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643)))))&(((X642 @ (esk43_2 @ X642 @ X643))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643))))&(~(X642 @ X653)|((esk43_2 @ X642 @ X643)=(X653))|(((X650)!=(esk42_3 @ X642 @ X643 @ X650))|~(X643 @ X650))|((X642 @ (esk38_2 @ X642 @ X643))|(X643 @ (esk39_2 @ X642 @ X643)))))))))&(((emptyset)=(emptyset))&((((X654)!=(X655))|(((X656)!=(X657))|((setadjoin @ X654 @ X656)=(setadjoin @ X655 @ X657))))&((((X658)!=(X659))|((powerset @ X658)=(powerset @ X659)))&(((esk44_0)=(esk45_0))&((setunion @ esk44_0)!=(setunion @ esk45_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])])])])). 0.21/0.52 thf(c_0_105, negated_conjecture, ((setunion @ esk44_0)!=(setunion @ esk45_0)), inference(split_conjunct,[status(thm)],[c_0_104])). 0.21/0.52 thf(c_0_106, negated_conjecture, ((esk44_0)=(esk45_0)), inference(split_conjunct,[status(thm)],[c_0_104])). 0.21/0.52 thf(c_0_107, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_106])]), ['proof']). 0.21/0.52 # SZS output end CNFRefutation 0.21/0.52 # Parsed axioms : 155 0.21/0.52 # Removed by relevancy pruning/SinE : 84 0.21/0.52 # Initial clauses : 162 0.21/0.52 # Removed in clause preprocessing : 10 0.21/0.52 # Initial clauses in saturation : 152 0.21/0.52 # Processed clauses : 5 0.21/0.52 # ...of these trivial : 0 0.21/0.52 # ...subsumed : 0 0.21/0.52 # ...remaining for further processing : 4 0.21/0.52 # Other redundant clauses eliminated : 0 0.21/0.52 # Clauses deleted for lack of memory : 0 0.21/0.52 # Backward-subsumed : 0 0.21/0.52 # Backward-rewritten : 0 0.21/0.52 # Generated clauses : 0 0.21/0.52 # ...of the previous two non-redundant : 0 0.21/0.52 # ...aggressively subsumed : 0 0.21/0.52 # Contextual simplify-reflections : 0 0.21/0.52 # Paramodulations : 0 0.21/0.52 # Factorizations : 0 0.21/0.52 # NegExts : 0 0.21/0.52 # Equation resolutions : 0 0.21/0.52 # Total rewrite steps : 1 0.21/0.52 # Propositional unsat checks : 0 0.21/0.52 # Propositional check models : 0 0.21/0.52 # Propositional check unsatisfiable : 0 0.21/0.52 # Propositional clauses : 0 0.21/0.52 # Propositional clauses after purity: 0 0.21/0.52 # Propositional unsat core size : 0 0.21/0.52 # Propositional preprocessing time : 0.000 0.21/0.52 # Propositional encoding time : 0.000 0.21/0.52 # Propositional solver time : 0.000 0.21/0.52 # Success case prop preproc time : 0.000 0.21/0.52 # Success case prop encoding time : 0.000 0.21/0.52 # Success case prop solver time : 0.000 0.21/0.52 # Current number of processed clauses : 4 0.21/0.52 # Positive orientable unit clauses : 4 0.21/0.52 # Positive unorientable unit clauses: 0 0.21/0.52 # Negative unit clauses : 0 0.21/0.52 # Non-unit-clauses : 0 0.21/0.52 # Current number of unprocessed clauses: 147 0.21/0.52 # ...number of literals in the above : 497 0.21/0.52 # Current number of archived formulas : 0 0.21/0.52 # Current number of archived clauses : 0 0.21/0.52 # Clause-clause subsumption calls (NU) : 0 0.21/0.52 # Rec. Clause-clause subsumption calls : 0 0.21/0.52 # Non-unit clause-clause subsumptions : 0 0.21/0.52 # Unit Clause-clause subsumption calls : 0 0.21/0.52 # Rewrite failures with RHS unbound : 0 0.21/0.52 # BW rewrite match attempts : 0 0.21/0.52 # BW rewrite match successes : 0 0.21/0.52 # Condensation attempts : 5 0.21/0.52 # Condensation successes : 0 0.21/0.52 # Termbank termtop insertions : 17800 0.21/0.52 0.21/0.52 # ------------------------------------------------- 0.21/0.52 # User time : 0.020 s 0.21/0.52 # System time : 0.006 s 0.21/0.52 # Total time : 0.026 s 0.21/0.52 # Maximum resident set size: 3896 pages 0.21/0.52 0.21/0.52 # ------------------------------------------------- 0.21/0.52 # User time : 0.026 s 0.21/0.52 # System time : 0.006 s 0.21/0.52 # Total time : 0.032 s 0.21/0.52 # Maximum resident set size: 1884 pages 0.21/0.52 % E---3.1 exiting 0.21/0.52 EOF