0.07/0.14 % Problem : Vampire---4.8_7269 : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : run_E %s %d THM 0.16/0.37 % Computer : n004.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1440 0.16/0.37 % WCLimit : 180 0.16/0.37 % DateTime : Mon Jul 3 13:00:30 EDT 2023 0.16/0.37 % CPUTime : 0.23/0.51 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.p1q4gW9Zss/Vampire---4.8_7269 0.23/0.52 # Version: 3.1pre001-ho 0.23/0.58 # Preprocessing class: HSMSSLSSLLLCHFA. 0.23/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.58 # Starting new_ho_10 with 900s (5) cores 0.23/0.58 # Starting sh5l with 180s (1) cores 0.23/0.58 # Starting new_bool_1 with 180s (1) cores 0.23/0.58 # Starting new_bool_2 with 180s (1) cores 0.23/0.58 # new_bool_2 with pid 7451 completed with status 0 0.23/0.58 # Result found by new_bool_2 0.23/0.58 # Preprocessing class: HSMSSLSSLLLCHFA. 0.23/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.58 # Starting new_ho_10 with 900s (5) cores 0.23/0.58 # Starting sh5l with 180s (1) cores 0.23/0.58 # Starting new_bool_1 with 180s (1) cores 0.23/0.58 # Starting new_bool_2 with 180s (1) cores 0.23/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.23/0.58 # Search class: HGHSM-FSLM31-SHFMMMBN 0.23/0.58 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.23/0.58 # Starting ho_unfolding_3 with 98s (1) cores 0.23/0.58 # ho_unfolding_3 with pid 7452 completed with status 0 0.23/0.58 # Result found by ho_unfolding_3 0.23/0.58 # Preprocessing class: HSMSSLSSLLLCHFA. 0.23/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.58 # Starting new_ho_10 with 900s (5) cores 0.23/0.58 # Starting sh5l with 180s (1) cores 0.23/0.58 # Starting new_bool_1 with 180s (1) cores 0.23/0.58 # Starting new_bool_2 with 180s (1) cores 0.23/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.23/0.58 # Search class: HGHSM-FSLM31-SHFMMMBN 0.23/0.58 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.23/0.58 # Starting ho_unfolding_3 with 98s (1) cores 0.23/0.58 # Preprocessing time : 0.005 s 0.23/0.58 # Presaturation interreduction done 0.23/0.58 0.23/0.58 # Proof found! 0.23/0.58 # SZS status Theorem 0.23/0.58 # SZS output start CNFRefutation 0.23/0.58 thf(decl_22, type, in: $i > $i > $o). 0.23/0.58 thf(decl_23, type, exu: ($i > $o) > $o). 0.23/0.58 thf(decl_24, type, setextAx: $o). 0.23/0.58 thf(decl_25, type, emptyset: $i). 0.23/0.58 thf(decl_26, type, emptysetAx: $o). 0.23/0.58 thf(decl_27, type, setadjoin: $i > $i > $i). 0.23/0.58 thf(decl_28, type, setadjoinAx: $o). 0.23/0.58 thf(decl_29, type, powerset: $i > $i). 0.23/0.58 thf(decl_30, type, powersetAx: $o). 0.23/0.58 thf(decl_31, type, setunion: $i > $i). 0.23/0.58 thf(decl_32, type, setunionAx: $o). 0.23/0.58 thf(decl_33, type, omega: $i). 0.23/0.58 thf(decl_34, type, omega0Ax: $o). 0.23/0.58 thf(decl_35, type, omegaSAx: $o). 0.23/0.58 thf(decl_36, type, omegaIndAx: $o). 0.23/0.58 thf(decl_37, type, replAx: $o). 0.23/0.58 thf(decl_38, type, foundationAx: $o). 0.23/0.58 thf(decl_39, type, wellorderingAx: $o). 0.23/0.58 thf(decl_40, type, descr: ($i > $o) > $i). 0.23/0.58 thf(decl_41, type, descrp: $o). 0.23/0.58 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_43, type, dsetconstrI: $o). 0.23/0.58 thf(decl_44, type, dsetconstrEL: $o). 0.23/0.58 thf(decl_45, type, dsetconstrER: $o). 0.23/0.58 thf(decl_46, type, exuE1: $o). 0.23/0.58 thf(decl_47, type, prop2set: $o > $i). 0.23/0.58 thf(decl_48, type, prop2setE: $o). 0.23/0.58 thf(decl_49, type, emptysetE: $o). 0.23/0.58 thf(decl_50, type, emptysetimpfalse: $o). 0.23/0.58 thf(decl_51, type, notinemptyset: $o). 0.23/0.58 thf(decl_52, type, exuE3e: $o). 0.23/0.58 thf(decl_53, type, setext: $o). 0.23/0.58 thf(decl_54, type, emptyI: $o). 0.23/0.58 thf(decl_55, type, noeltsimpempty: $o). 0.23/0.58 thf(decl_56, type, setbeta: $o). 0.23/0.58 thf(decl_57, type, nonempty: $i > $o). 0.23/0.58 thf(decl_58, type, nonemptyE1: $o). 0.23/0.58 thf(decl_59, type, nonemptyI: $o). 0.23/0.58 thf(decl_60, type, nonemptyI1: $o). 0.23/0.58 thf(decl_61, type, setadjoinIL: $o). 0.23/0.58 thf(decl_62, type, emptyinunitempty: $o). 0.23/0.58 thf(decl_63, type, setadjoinIR: $o). 0.23/0.58 thf(decl_64, type, setadjoinE: $o). 0.23/0.58 thf(decl_65, type, setadjoinOr: $o). 0.23/0.58 thf(decl_66, type, setoftrueEq: $o). 0.23/0.58 thf(decl_67, type, powersetI: $o). 0.23/0.58 thf(decl_68, type, emptyinPowerset: $o). 0.23/0.58 thf(decl_69, type, emptyInPowerset: $o). 0.23/0.58 thf(decl_70, type, powersetE: $o). 0.23/0.58 thf(decl_71, type, setunionI: $o). 0.23/0.58 thf(decl_72, type, setunionE: $o). 0.23/0.58 thf(decl_73, type, subPowSU: $o). 0.23/0.58 thf(decl_74, type, exuE2: $o). 0.23/0.58 thf(decl_75, type, nonemptyImpWitness: $o). 0.23/0.58 thf(decl_76, type, uniqinunit: $o). 0.23/0.58 thf(decl_77, type, notinsingleton: $o). 0.23/0.58 thf(decl_78, type, eqinunit: $o). 0.23/0.58 thf(decl_79, type, singletonsswitch: $o). 0.23/0.58 thf(decl_80, type, upairsetE: $o). 0.23/0.58 thf(decl_81, type, upairsetIL: $o). 0.23/0.58 thf(decl_82, type, upairsetIR: $o). 0.23/0.58 thf(decl_83, type, emptyE1: $o). 0.23/0.58 thf(decl_84, type, vacuousDall: $o). 0.23/0.58 thf(decl_85, type, quantDeMorgan1: $o). 0.23/0.58 thf(decl_86, type, quantDeMorgan2: $o). 0.23/0.58 thf(decl_87, type, quantDeMorgan3: $o). 0.23/0.58 thf(decl_88, type, quantDeMorgan4: $o). 0.23/0.58 thf(decl_89, type, prop2setI: $o). 0.23/0.58 thf(decl_91, type, prop2set2propI: $o). 0.23/0.58 thf(decl_92, type, notdexE: $o). 0.23/0.58 thf(decl_93, type, notdallE: $o). 0.23/0.58 thf(decl_94, type, exuI1: $o). 0.23/0.58 thf(decl_95, type, exuI3: $o). 0.23/0.58 thf(decl_96, type, exuI2: $o). 0.23/0.58 thf(decl_97, type, inCongP: $o). 0.23/0.58 thf(decl_98, type, in__Cong: $o). 0.23/0.58 thf(decl_99, type, exuE3u: $o). 0.23/0.58 thf(decl_100, type, exu__Cong: $o). 0.23/0.58 thf(decl_101, type, emptyset__Cong: $o). 0.23/0.58 thf(decl_102, type, setadjoin__Cong: $o). 0.23/0.58 thf(decl_103, type, powerset__Cong: $o). 0.23/0.58 thf(decl_104, type, setunion__Cong: $o). 0.23/0.58 thf(decl_105, type, omega__Cong: $o). 0.23/0.58 thf(decl_106, type, exuEu: $o). 0.23/0.58 thf(decl_107, type, descr__Cong: $o). 0.23/0.58 thf(decl_108, type, dsetconstr__Cong: $o). 0.23/0.58 thf(decl_109, type, subset: $i > $i > $o). 0.23/0.58 thf(decl_112, type, subsetI1: $o). 0.23/0.58 thf(decl_113, type, eqimpsubset2: $o). 0.23/0.58 thf(decl_114, type, eqimpsubset1: $o). 0.23/0.58 thf(decl_115, type, subsetI2: $o). 0.23/0.58 thf(decl_116, type, emptysetsubset: $o). 0.23/0.58 thf(decl_117, type, subsetE: $o). 0.23/0.58 thf(decl_118, type, epred1_0: $o). 0.23/0.58 thf(decl_119, type, esk1_2: $i > $i > $i). 0.23/0.58 thf(decl_120, type, esk2_2: $i > $i > $i). 0.23/0.58 thf(decl_121, type, esk3_2: $i > $i > $i). 0.23/0.58 thf(decl_122, type, esk4_1: $i > $i). 0.23/0.58 thf(decl_123, type, esk5_2: ($i > $i > $o) > $i > $i). 0.23/0.58 thf(decl_124, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.23/0.58 thf(decl_125, type, esk7_2: ($i > $i > $o) > $i > $i). 0.23/0.58 thf(decl_126, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.23/0.58 thf(decl_127, type, esk9_1: $i > $i). 0.23/0.58 thf(decl_128, type, esk10_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_129, type, esk11_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_130, type, esk12_1: ($i > $o) > $i). 0.23/0.58 thf(decl_131, type, esk13_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_132, type, esk14_1: ($i > $o) > $i). 0.23/0.58 thf(decl_133, type, esk15_2: $i > $i > $i). 0.23/0.58 thf(decl_134, type, esk16_2: $i > $i > $i). 0.23/0.58 thf(decl_135, type, esk17_1: $i > $i). 0.23/0.58 thf(decl_136, type, esk18_1: $i > $i). 0.23/0.58 thf(decl_137, type, esk19_1: $i > $i). 0.23/0.58 thf(decl_138, type, esk20_2: $i > $i > $i). 0.23/0.58 thf(decl_139, type, esk21_3: $i > $i > $o > $i). 0.23/0.58 thf(decl_140, type, esk22_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_141, type, esk23_1: ($i > $o) > $i). 0.23/0.58 thf(decl_142, type, esk24_1: $i > $i). 0.23/0.58 thf(decl_143, type, esk25_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_144, type, esk26_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_145, type, esk27_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_146, type, esk28_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_147, type, esk29_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_148, type, esk30_2: $i > ($i > $o) > $i). 0.23/0.58 thf(decl_149, type, esk31_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_150, type, esk32_1: ($i > $o) > $i). 0.23/0.58 thf(decl_151, type, esk33_1: ($i > $o) > $i). 0.23/0.58 thf(decl_152, type, esk34_1: ($i > $o) > $i). 0.23/0.58 thf(decl_153, type, esk35_1: ($i > $o) > $i). 0.23/0.58 thf(decl_154, type, esk36_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_155, type, esk37_1: ($i > $o) > $i). 0.23/0.58 thf(decl_156, type, esk38_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_157, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_158, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_159, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.58 thf(decl_160, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_161, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.58 thf(decl_162, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_163, type, esk45_2: ($i > $o) > $i > $i). 0.23/0.58 thf(decl_164, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_165, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_166, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.58 thf(decl_167, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.58 thf(decl_168, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_169, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.23/0.58 thf(decl_170, type, esk52_2: $i > $i > $i). 0.23/0.58 thf(decl_171, type, esk53_2: $i > $i > $i). 0.23/0.58 thf(decl_172, type, esk54_0: $i). 0.23/0.58 thf(decl_173, type, esk55_0: $i). 0.23/0.58 thf(decl_174, type, esk56_0: $i). 0.23/0.58 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', nonempty)). 0.23/0.58 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuE3e)). 0.23/0.58 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exu)). 0.23/0.58 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', descrp)). 0.23/0.58 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', replAx)). 0.23/0.58 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', nonemptyI)). 0.23/0.58 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuI3)). 0.23/0.58 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exu__Cong)). 0.23/0.58 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', descr__Cong)). 0.23/0.58 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuEu)). 0.23/0.58 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/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuE3u)). 0.23/0.58 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuI2)). 0.23/0.58 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/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', exuI1)). 0.23/0.58 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.p1q4gW9Zss/Vampire---4.8_7269', exuE2)). 0.23/0.58 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.p1q4gW9Zss/Vampire---4.8_7269', exuE1)). 0.23/0.58 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', nonemptyE1)). 0.23/0.58 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setbeta)). 0.23/0.58 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setoftrueEq)). 0.23/0.58 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', dsetconstrI)). 0.23/0.58 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', dsetconstr__Cong)). 0.23/0.58 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', nonemptyI1)). 0.23/0.58 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.p1q4gW9Zss/Vampire---4.8_7269', emptyE1)). 0.23/0.58 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', nonemptyImpWitness)). 0.23/0.58 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', dsetconstrER)). 0.23/0.58 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', dsetconstrEL)). 0.23/0.58 thf(subsetE2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>(((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>(((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((((setext)=>((emptyI)=>((((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>(((((powersetE)=>(((((((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>(((upairsetIR)=>(((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((((prop2set2propI)=>((notdexE)=>((notdallE)=>(((exuI3)=>((((((exu__Cong)=>(((((setunion__Cong)=>((omega__Cong)=>((((dsetconstr__Cong)=>((((eqimpsubset1)=>(((emptysetsubset)=>(![X4:$i, X5:$i, X2:$i]:(((~((in @ X2 @ X4))<=~((in @ X2 @ X5)))<=(subset @ X4 @ X5)))<=(subsetE)))<=(subsetI2)))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong))<=(exuEu))))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1)))))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3)))))<=(emptyE1)))<=(upairsetIL)))))))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI)))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))))))<=(setadjoinIL)))))<=(setbeta))<=(noeltsimpempty))))<=(exuE3e))<=(notinemptyset))))))))<=(dsetconstrI))<=(descrp))<=(wellorderingAx)))<=(replAx)))))<=(setunionAx)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', subsetE2)). 0.23/0.58 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setunionAx)). 0.23/0.58 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', subPowSU)). 0.23/0.58 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptyI)). 0.23/0.58 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setunionE)). 0.23/0.58 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setunionI)). 0.23/0.58 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setadjoinIR)). 0.23/0.58 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptyInPowerset)). 0.23/0.58 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptyinPowerset)). 0.23/0.58 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', powersetI)). 0.23/0.58 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.p1q4gW9Zss/Vampire---4.8_7269', setadjoinE)). 0.23/0.58 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setadjoinIL)). 0.23/0.58 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setadjoinOr)). 0.23/0.58 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', noeltsimpempty)). 0.23/0.58 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', notinemptyset)). 0.23/0.58 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', powersetE)). 0.23/0.58 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.p1q4gW9Zss/Vampire---4.8_7269', wellorderingAx)). 0.23/0.58 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', uniqinunit)). 0.23/0.58 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', notinsingleton)). 0.23/0.58 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', eqimpsubset1)). 0.23/0.58 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', eqinunit)). 0.23/0.58 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', singletonsswitch)). 0.23/0.58 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', upairsetE)). 0.23/0.58 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', upairsetIR)). 0.23/0.58 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', vacuousDall)). 0.23/0.58 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', quantDeMorgan1)). 0.23/0.58 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', quantDeMorgan2)). 0.23/0.58 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', notdexE)). 0.23/0.58 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', notdallE)). 0.23/0.58 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setunion__Cong)). 0.23/0.58 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', omega__Cong)). 0.23/0.58 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptysetsubset)). 0.23/0.58 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', subsetE)). 0.23/0.58 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', subsetI2)). 0.23/0.58 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', eqimpsubset2)). 0.23/0.58 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', subsetI1)). 0.23/0.58 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', powerset__Cong)). 0.23/0.58 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setadjoin__Cong)). 0.23/0.58 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptyset__Cong)). 0.23/0.58 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', in__Cong)). 0.23/0.58 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', inCongP)). 0.23/0.58 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', prop2setI)). 0.23/0.58 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', quantDeMorgan4)). 0.23/0.58 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', quantDeMorgan3)). 0.23/0.58 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', upairsetIL)). 0.23/0.58 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptyinunitempty)). 0.23/0.58 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setext)). 0.23/0.58 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptysetimpfalse)). 0.23/0.58 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptysetE)). 0.23/0.58 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', prop2setE)). 0.23/0.58 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', foundationAx)). 0.23/0.58 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.p1q4gW9Zss/Vampire---4.8_7269', omegaIndAx)). 0.23/0.58 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', omegaSAx)). 0.23/0.58 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', omega0Ax)). 0.23/0.58 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', powersetAx)). 0.23/0.58 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setadjoinAx)). 0.23/0.58 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', emptysetAx)). 0.23/0.58 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.p1q4gW9Zss/Vampire---4.8_7269', setextAx)). 0.23/0.58 thf(c_0_83, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.23/0.58 thf(c_0_84, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.23/0.58 thf(c_0_85, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.23/0.58 thf(c_0_86, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.23/0.58 thf(c_0_87, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.23/0.58 thf(c_0_88, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.23/0.58 thf(c_0_89, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.23/0.58 thf(c_0_90, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.23/0.58 thf(c_0_91, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.23/0.58 thf(c_0_92, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.23/0.58 thf(c_0_93, 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])). 0.23/0.58 thf(c_0_94, 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])). 0.23/0.58 thf(c_0_95, 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])). 0.23/0.58 thf(c_0_96, 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])). 0.23/0.58 thf(c_0_97, 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])). 0.23/0.58 thf(c_0_98, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_83])). 0.23/0.58 thf(c_0_99, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.23/0.58 thf(c_0_100, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X253:$i]:((((X1 @ X253))&![X254:$i]:((((X1 @ X254))=>((X253)=(X254)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_84, c_0_85])). 0.23/0.58 thf(c_0_101, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.23/0.58 thf(c_0_102, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.23/0.58 thf(c_0_103, plain, ((descrp)=(![X1:$i > $o]:(((?[X249:$i]:((((X1 @ X249))&![X250:$i]:((((X1 @ X250))=>((X249)=(X250)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_85])). 0.23/0.58 thf(c_0_104, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X247:$i]:((((X6 @ X2 @ X247))&![X248:$i]:((((X6 @ X2 @ X248))=>((X247)=(X248)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_85])). 0.23/0.58 thf(c_0_105, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_83])). 0.23/0.58 thf(c_0_106, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X259:$i]:((((X1 @ X259))&![X260:$i]:((((X1 @ X260))=>((X259)=(X260)))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_85])). 0.23/0.58 thf(c_0_107, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X265:$i]:((((X1 @ X265))&![X266:$i]:((((X1 @ X266))=>((X265)=(X266)))))))<=>(?[X267:$i]:((((X17 @ X267))&![X268:$i]:((((X17 @ X268))=>((X267)=(X268)))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_85])). 0.23/0.58 thf(c_0_108, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.23/0.58 thf(c_0_109, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X271:$i]:((((X1 @ X271))&![X272:$i]:((((X1 @ X272))=>((X271)=(X272)))))))=>((?[X273:$i]:((((X17 @ X273))&![X274:$i]:((((X17 @ X274))=>((X273)=(X274)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_85])). 0.23/0.58 thf(c_0_110, plain, ((exuEu)=(![X1:$i > $o]:(((?[X269:$i]:((((X1 @ X269))&![X270:$i]:((((X1 @ X270))=>((X269)=(X270)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_85])). 0.23/0.58 thf(c_0_111, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X263:$i]:((((X1 @ X263))&![X264:$i]:((((X1 @ X264))=>((X263)=(X264)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_85])). 0.23/0.58 thf(c_0_112, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_83])). 0.23/0.58 thf(c_0_113, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X261:$i]:((((X1 @ X261))&![X262:$i]:((((X1 @ X262))=>((X261)=(X262))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_85])). 0.23/0.58 thf(c_0_114, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X257:$i]:((((X1 @ X257))&![X258:$i]:((((X1 @ X258))=>((X257)=(X258))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_85])). 0.23/0.58 thf(c_0_115, plain, ((emptyE1)<=>![X4:$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])). 0.23/0.58 thf(c_0_116, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_83])). 0.23/0.58 thf(c_0_117, plain, ((exuE2)=(![X1:$i > $o]:(((?[X255:$i]:((((X1 @ X255))&![X256:$i]:((((X1 @ X256))=>((X255)=(X256)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_85])). 0.23/0.58 thf(c_0_118, plain, ((exuE1)=(![X1:$i > $o]:(((?[X251:$i]:((((X1 @ X251))&![X252:$i]:((((X1 @ X252))=>((X251)=(X252)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_85])). 0.23/0.58 thf(c_0_119, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.23/0.58 thf(c_0_120, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.23/0.58 thf(c_0_121, plain, ((epred1_0)<=>![X498:$i]:(?[X499:$i]:((((![X500:$i]:(((in @ X500 @ X499)=>![X501:$i]:(((in @ X501 @ X500)=>(in @ X501 @ X498)))))&![X502:$i, X503:$i]:((((in @ X502 @ X498)&(in @ X503 @ X498))=>(![X504:$i]:(((in @ X504 @ X499)=>((in @ X502 @ X504)<=>(in @ X503 @ X504))))=>((X502)=(X503))))))&![X505:$i, X506:$i]:((((in @ X505 @ X499)&(in @ X506 @ X499))=>(![X507:$i]:(((in @ X507 @ X505)=>(in @ X507 @ X506)))|![X508:$i]:(((in @ X508 @ X506)=>(in @ X508 @ X505)))))))&![X509:$i]:(((![X510:$i]:(((in @ X510 @ X509)=>(in @ X510 @ X498)))&?[X511:$i]:((in @ X511 @ X509)))=>?[X512:$i, X513:$i]:(((((in @ X512 @ X499)&(in @ X513 @ X509))&~(?[X514:$i]:(((in @ X514 @ X512)&(in @ X514 @ X509)))))&![X515:$i]:(((in @ X515 @ X499)=>(![X516:$i]:(((in @ X516 @ X515)=>(in @ X516 @ X512)))|(in @ X513 @ X515)))))))))))), introduced(definition)). 0.23/0.58 thf(c_0_122, negated_conjecture, ~((![X275:$i, X276:$i]:((![X277:$i]:(((in @ X277 @ X275)<=>(in @ X277 @ X276)))=>((X275)=(X276))))=>(![X278:$i]:(~(in @ X278 @ emptyset))=>(![X279:$i, X280:$i, X281:$i]:(((in @ X281 @ (setadjoin @ X279 @ X280))<=>(((X281)=(X279))|(in @ X281 @ X280))))=>(![X282:$i, X283:$i]:(((in @ X283 @ (powerset @ X282))<=>![X284:$i]:(((in @ X284 @ X283)=>(in @ X284 @ X282)))))=>(![X525:$i, X526:$i]:(((in @ X526 @ (setunion @ X525))<=>?[X527:$i]:(((in @ X526 @ X527)&(in @ X527 @ X525)))))=>((in @ emptyset @ omega)=>(![X285:$i]:(((in @ X285 @ omega)=>(in @ (setadjoin @ X285 @ X285) @ omega)))=>(![X286:$i]:((((in @ emptyset @ X286)&![X287:$i]:((((in @ X287 @ omega)&(in @ X287 @ X286))=>(in @ (setadjoin @ X287 @ X287) @ X286))))=>![X288:$i]:(((in @ X288 @ omega)=>(in @ X288 @ X286)))))=>(![X517:$i > $i > $o, X518:$i]:((![X519:$i]:(((in @ X519 @ X518)=>?[X520:$i]:(((X517 @ X519 @ X520)&![X521:$i]:(((X517 @ X519 @ X521)=>((X520)=(X521))))))))=>?[X522:$i]:(![X523:$i]:(((in @ X523 @ X522)<=>?[X524:$i]:(((in @ X524 @ X518)&(X517 @ X524 @ X523))))))))=>(![X289:$i]:((?[X290:$i]:((in @ X290 @ X289))=>?[X291:$i]:(((in @ X291 @ X289)&~(?[X292:$i]:(((in @ X292 @ X291)&(in @ X292 @ X289))))))))=>((epred1_0)=>(![X495:$i > $o]:((?[X496:$i]:(((X495 @ X496)&![X497:$i]:(((X495 @ X497)=>((X496)=(X497))))))=>(X495 @ (descr @ (^[Z0/* 3 */:$i]:((X495 @ Z0)))))))=>(![X492:$i, X493:$i > $o, X494:$i]:(((in @ X494 @ X492)=>((X493 @ X494)=>(in @ X494 @ (dsetconstr @ X492 @ (^[Z0/* 3 */:$i]:((X493 @ Z0))))))))=>(![X293:$i, X294:$i > $o, X295:$i]:(((in @ X295 @ (dsetconstr @ X293 @ (^[Z0/* 3 */:$i]:((X294 @ Z0)))))=>(in @ X295 @ X293)))=>(![X296:$i, X297:$i > $o, X298:$i]:(((in @ X298 @ (dsetconstr @ X296 @ (^[Z0/* 3 */:$i]:((X297 @ Z0)))))=>(X297 @ X298)))=>(![X299:$i > $o]:((?[X300:$i]:(((X299 @ X300)&![X301:$i]:(((X299 @ X301)=>((X300)=(X301))))))=>?[X302:$i]:(((X299 @ X302)&![X303:$i]:(((X299 @ X303)=>((X302)=(X303))))))))=>(![X304:$o, X305:$i]:(((in @ X305 @ (prop2set @ ((X304))))=>(X304)))=>(![X306:$i]:(((in @ X306 @ emptyset)=>![X307:$o]:((X307))))=>(![X308:$i]:(~(in @ X308 @ emptyset))=>(![X491:$i]:(~(in @ X491 @ emptyset))=>(![X487:$i > $o]:((?[X488:$i]:(((X487 @ X488)&![X489:$i]:(((X487 @ X489)=>((X488)=(X489))))))=>?[X490:$i]:((X487 @ X490))))=>(![X309:$i, X310:$i]:((![X311:$i]:(((in @ X311 @ X309)=>(in @ X311 @ X310)))=>(![X312:$i]:(((in @ X312 @ X310)=>(in @ X312 @ X309)))=>((X309)=(X310)))))=>(![X313:$i]:((![X314:$i]:(~(in @ X314 @ X313))=>((X313)=(emptyset))))=>(![X485:$i]:((![X486:$i]:(~(in @ X486 @ X485))=>((X485)=(emptyset))))=>(![X482:$i, X483:$i > $o, X484:$i]:(((in @ X484 @ X482)=>((in @ X484 @ (dsetconstr @ X482 @ (^[Z0/* 3 */:$i]:((X483 @ Z0)))))<=>(X483 @ X484))))=>(![X315:$i]:((((X315)!=(emptyset))=>?[X316:$i]:((in @ X316 @ X315))))=>(![X317:$i, X318:$i > $o, X319:$i]:(((in @ X319 @ X317)=>((X318 @ X319)=>((dsetconstr @ X317 @ (^[Z0/* 3 */:$i]:((X318 @ Z0))))!=(emptyset)))))=>(![X320:$i]:((?[X321:$i]:((in @ X321 @ X320))=>((X320)!=(emptyset))))=>(![X480:$i, X481:$i]:((in @ X480 @ (setadjoin @ X480 @ X481)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X322:$i, X323:$i, X324:$i]:(((in @ X324 @ X323)=>(in @ X324 @ (setadjoin @ X322 @ X323))))=>(![X325:$i, X326:$i, X327:$i]:(((in @ X327 @ (setadjoin @ X325 @ X326))=>![X328:$o]:(((((X327)=(X325))=>(X328))=>(((in @ X327 @ X326)=>(X328))=>(X328))))))=>(![X329:$i, X330:$i, X331:$i]:(((in @ X331 @ (setadjoin @ X329 @ X330))=>(((X331)=(X329))|(in @ X331 @ X330))))=>(![X332:$i]:(((dsetconstr @ X332 @ (^[Z0/* 3 */:$i]:(($true))))=(X332)))=>(![X477:$i, X478:$i]:((![X479:$i]:(((in @ X479 @ X478)=>(in @ X479 @ X477)))=>(in @ X478 @ (powerset @ X477))))=>(![X476:$i]:((in @ emptyset @ (powerset @ X476)))=>(![X475:$i]:((in @ emptyset @ (powerset @ X475)))=>(![X333:$i, X334:$i, X335:$i]:(((in @ X334 @ (powerset @ X333))=>((in @ X335 @ X334)=>(in @ X335 @ X333))))=>(![X472:$i, X473:$i, X474:$i]:(((in @ X473 @ X474)=>((in @ X474 @ X472)=>(in @ X473 @ (setunion @ X472)))))=>(![X468:$i, X469:$i]:(((in @ X469 @ (setunion @ X468))=>![X470:$o]:((![X471:$i]:(((in @ X469 @ X471)=>((in @ X471 @ X468)=>(X470))))=>(X470)))))=>(![X466:$i, X467:$i]:(((in @ X467 @ X466)=>(in @ X467 @ (powerset @ (setunion @ X466)))))=>(![X461:$i > $o]:((?[X462:$i]:(((X461 @ X462)&![X463:$i]:(((X461 @ X463)=>((X462)=(X463))))))=>?[X464:$i]:(![X465:$i]:(((X461 @ X465)<=>((X465)=(X464)))))))=>(![X459:$i]:((((X459)!=(emptyset))=>?[X460:$i]:((in @ X460 @ X459))))=>(![X336:$i, X337:$i]:(((in @ X336 @ (setadjoin @ X337 @ emptyset))=>((X336)=(X337))))=>(![X338:$i, X339:$i]:((((X338)!=(X339))=>~(in @ X339 @ (setadjoin @ X338 @ emptyset))))=>(![X340:$i, X341:$i]:((((X340)=(X341))=>(in @ X340 @ (setadjoin @ X341 @ emptyset))))=>(![X342:$i, X343:$i]:(((in @ X342 @ (setadjoin @ X343 @ emptyset))=>(in @ X343 @ (setadjoin @ X342 @ emptyset))))=>(![X344:$i, X345:$i, X346:$i]:(((in @ X346 @ (setadjoin @ X344 @ (setadjoin @ X345 @ emptyset)))=>(((X346)=(X344))|((X346)=(X345)))))=>(![X457:$i, X458:$i]:((in @ X457 @ (setadjoin @ X457 @ (setadjoin @ X458 @ emptyset))))=>(![X347:$i, X348:$i]:((in @ X348 @ (setadjoin @ X347 @ (setadjoin @ X348 @ emptyset))))=>(![X454:$i, X455:$i > $o]:((?[X456:$i]:(((in @ X456 @ X454)&(X455 @ X456)))=>((dsetconstr @ X454 @ (^[Z0/* 3 */:$i]:((X455 @ Z0))))!=(emptyset))))=>(![X349:$i > $o, X350:$i]:(((in @ X350 @ emptyset)=>(X349 @ X350)))=>(![X351:$i, X352:$i > $o]:((~(![X353:$i]:(((in @ X353 @ X351)=>(X352 @ X353))))=>?[X354:$i]:(((in @ X354 @ X351)&~(X352 @ X354)))))=>(![X355:$i, X356:$i > $o]:((![X357:$i]:(((in @ X357 @ X355)=>~(X356 @ X357)))=>~(?[X358:$i]:(((in @ X358 @ X355)&(X356 @ X358))))))=>(![X450:$i, X451:$i > $o]:((~(?[X452:$i]:(((in @ X452 @ X450)&(X451 @ X452))))=>![X453:$i]:(((in @ X453 @ X450)=>~(X451 @ X453)))))=>(![X446:$i, X447:$i > $o]:((?[X448:$i]:(((in @ X448 @ X446)&~(X447 @ X448)))=>~(![X449:$i]:(((in @ X449 @ X446)=>(X447 @ X449))))))=>(![X445:$o]:(((X445)=>(in @ emptyset @ (prop2set @ ((X445))))))=>((prop2set2propI)=>(![X359:$i, X360:$i > $o]:((~(?[X361:$i]:(((in @ X361 @ X359)&(X360 @ X361))))=>![X362:$i]:(((in @ X362 @ X359)=>~(X360 @ X362)))))=>(![X363:$i, X364:$i > $o]:((~(![X365:$i]:(((in @ X365 @ X363)=>(X364 @ X365))))=>?[X366:$i]:(((in @ X366 @ X363)&~(X364 @ X366)))))=>(![X440:$i > $o]:((?[X441:$i]:(((X440 @ X441)&![X442:$i]:(((X440 @ X442)=>((X441)=(X442))))))=>?[X443:$i]:(((X440 @ X443)&![X444:$i]:(((X440 @ X444)=>((X443)=(X444))))))))=>(![X367:$i > $o]:((?[X368:$i]:((X367 @ X368))=>(![X369:$i, X370:$i]:(((X367 @ X369)=>((X367 @ X370)=>((X369)=(X370)))))=>?[X371:$i]:(((X367 @ X371)&![X372:$i]:(((X367 @ X372)=>((X371)=(X372)))))))))=>(![X435:$i > $o]:((?[X436:$i]:(![X437:$i]:(((X435 @ X437)<=>((X437)=(X436)))))=>?[X438:$i]:(((X435 @ X438)&![X439:$i]:(((X435 @ X439)=>((X438)=(X439))))))))=>(![X431:$i, X432:$i]:((((X431)=(X432))=>![X433:$i, X434:$i]:((((X433)=(X434))=>((in @ X433 @ X431)=>(in @ X434 @ X432))))))=>(![X427:$i, X428:$i]:((((X427)=(X428))=>![X429:$i, X430:$i]:((((X429)=(X430))=>((in @ X429 @ X427)<=>(in @ X430 @ X428))))))=>(![X422:$i > $o]:((?[X423:$i]:(((X422 @ X423)&![X424:$i]:(((X422 @ X424)=>((X423)=(X424))))))=>![X425:$i, X426:$i]:(((X422 @ X425)=>((X422 @ X426)=>((X425)=(X426)))))))=>(![X373:$i > $o, X374:$i > $o]:((![X375:$i, X376:$i]:((((X375)=(X376))=>((X373 @ X375)<=>(X374 @ X376))))=>(?[X377:$i]:(((X373 @ X377)&![X378:$i]:(((X373 @ X378)=>((X377)=(X378))))))<=>?[X379:$i]:(((X374 @ X379)&![X380:$i]:(((X374 @ X380)=>((X379)=(X380)))))))))=>(((emptyset)=(emptyset))=>(![X418:$i, X419:$i]:((((X418)=(X419))=>![X420:$i, X421:$i]:((((X420)=(X421))=>((setadjoin @ X418 @ X420)=(setadjoin @ X419 @ X421))))))=>(![X416:$i, X417:$i]:((((X416)=(X417))=>((powerset @ X416)=(powerset @ X417))))=>(![X381:$i, X382:$i]:((((X381)=(X382))=>((setunion @ X381)=(setunion @ X382))))=>(((omega)=(omega))=>(![X411:$i > $o]:((?[X412:$i]:(((X411 @ X412)&![X413:$i]:(((X411 @ X413)=>((X412)=(X413))))))=>![X414:$i, X415:$i]:(((X411 @ X414)=>((X411 @ X415)=>((X414)=(X415)))))))=>(![X403:$i > $o, X404:$i > $o]:((![X405:$i, X406:$i]:((((X405)=(X406))=>((X403 @ X405)<=>(X404 @ X406))))=>(?[X407:$i]:(((X403 @ X407)&![X408:$i]:(((X403 @ X408)=>((X407)=(X408))))))=>(?[X409:$i]:(((X404 @ X409)&![X410:$i]:(((X404 @ X410)=>((X409)=(X410))))))=>((descr @ (^[Z0/* 3 */:$i]:((X403 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X404 @ Z0)))))))))=>(![X383:$i, X384:$i]:((((X383)=(X384))=>![X385:$i > $o, X386:$i > $o]:((![X387:$i]:(((in @ X387 @ X383)=>![X388:$i]:(((in @ X388 @ X384)=>(((X387)=(X388))=>((X385 @ X387)<=>(X386 @ X388)))))))=>((dsetconstr @ X383 @ (^[Z0/* 3 */:$i]:((X385 @ Z0))))=(dsetconstr @ X384 @ (^[Z0/* 3 */:$i]:((X386 @ Z0)))))))))=>(![X400:$i, X401:$i]:((![X402:$i]:(((in @ X402 @ X400)=>(in @ X402 @ X401)))=>(subset @ X400 @ X401)))=>(![X398:$i, X399:$i]:((((X398)=(X399))=>(subset @ X399 @ X398)))=>(![X389:$i, X390:$i]:((((X389)=(X390))=>(subset @ X389 @ X390)))=>(![X395:$i, X396:$i]:((![X397:$i]:(((in @ X397 @ X395)=>(in @ X397 @ X396)))=>(subset @ X395 @ X396)))=>(![X391:$i]:((subset @ emptyset @ X391))=>(![X392:$i, X393:$i, X394:$i]:(((subset @ X392 @ X393)=>((in @ X394 @ X392)=>(in @ X394 @ X393))))=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(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)],[subsetE2]), c_0_98]), setunionAx]), subPowSU]), emptyI]), setunionE]), setunionI]), setadjoinIR]), emptyInPowerset]), emptyinPowerset]), powersetI]), setadjoinE]), setadjoinIL]), c_0_99]), setadjoinOr]), noeltsimpempty]), c_0_100]), notinemptyset]), c_0_101]), c_0_102]), c_0_103]), powersetE]), wellorderingAx]), c_0_104]), uniqinunit]), notinsingleton]), eqimpsubset1]), c_0_105]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIR]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), notdexE]), notdallE]), c_0_106]), c_0_107]), setunion__Cong]), omega__Cong]), c_0_108]), emptysetsubset]), subsetE]), subsetI2]), eqimpsubset2]), subsetI1]), c_0_109]), c_0_110]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), c_0_111]), c_0_112]), in__Cong]), inCongP]), c_0_113]), c_0_114]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), c_0_115]), upairsetIL]), c_0_116]), c_0_117]), emptyinunitempty]), setext]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_118]), c_0_119]), c_0_120]), foundationAx]), omegaIndAx]), omegaSAx]), omega0Ax]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])]), c_0_121])). 0.23/0.58 thf(c_0_123, negated_conjecture, ![X528:$i, X529:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$i, X541:$i, X542:$i, X544:$i, X545:$i, X546:$i, X547:$i, X548:$i, X550:$i, X551:$i > $i > $o, X552:$i, X554:$i, X557:$i, X559:$i, X560:$i, X561:$i, X562:$i, X564:$i, X565:$i > $o, X566:$i, X568:$i, X569:$i > $o, X570:$i, X571:$i, X572:$i > $o, X573:$i, X574:$i, X575:$i > $o, X576:$i, X577:$i > $o, X578:$i, X581:$i, X582:$o, X583:$i, X584:$i, X585:$o, X586:$i, X587:$i, X588:$i > $o, X589:$i, X592:$i, X593:$i, X596:$i, X598:$i, X600:$i, X601:$i > $o, X602:$i, X603:$i, X605:$i, X606:$i > $o, X607:$i, X608:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X618:$o, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$o, X638:$i, X639:$i, X640:$i > $o, X641:$i, X644:$i, X645:$i, X646:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i > $o, X665:$i, X666:$i > $o, X667:$i, X668:$i, X669:$i > $o, X670:$i, X672:$i, X673:$i > $o, X675:$i, X676:$i, X677:$i > $o, X679:$i, X680:$i, X681:$i > $o, X682:$i, X684:$o, X685:$i, X686:$i > $o, X688:$i, X689:$i, X690:$i > $o, X691:$i, X693:$i > $o, X694:$i, X697:$i, X698:$i > $o, X699:$i, X703:$i, X704:$i > $o, X705:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i > $o, X718:$i, X720:$i, X721:$i, X722:$i > $o, X723:$i > $o, X726:$i, X729:$i, X730:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i > $o, X743:$i, X745:$i, X746:$i, X747:$i > $o, X748:$i > $o, X751:$i, X753:$i, X755:$i, X756:$i, X757:$i > $o, X758:$i > $o, X761:$i, X762:$i, X764:$i, X765:$i, X766:$i, 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X747 @ X748 @ X751))|~(X747 @ X751))|(~(X747 @ (esk46_2 @ X747 @ X748))|~(X748 @ (esk47_2 @ X747 @ X748)))))&(((X748 @ (esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|(((X751)!=(esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|(~(X747 @ (esk46_2 @ X747 @ X748))|~(X748 @ (esk47_2 @ X747 @ X748))))&(((X753)!=(esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|(((X751)!=(esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|(~(X747 @ (esk46_2 @ X747 @ X748))|~(X748 @ (esk47_2 @ X747 @ X748))))))&((((X748 @ (esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|((X747 @ (esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|((X747 @ (esk46_2 @ X747 @ X748))|(X748 @ (esk47_2 @ X747 @ X748))))&(((X753)!=(esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|((X747 @ (esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|((X747 @ (esk46_2 @ X747 @ X748))|(X748 @ (esk47_2 @ X747 @ X748)))))&(((X748 @ (esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|(((X751)!=(esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|((X747 @ (esk46_2 @ X747 @ X748))|(X748 @ (esk47_2 @ X747 @ X748))))&(((X753)!=(esk49_3 @ X747 @ X748 @ X753))|~(X748 @ X753)|((descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X748 @ Z0)))))|(((X751)!=(esk48_3 @ X747 @ X748 @ X751))|~(X747 @ X751))|((X747 @ (esk46_2 @ X747 @ X748))|(X748 @ (esk47_2 @ X747 @ X748))))))))&((((in @ (esk50_4 @ X755 @ X756 @ X757 @ X758) @ X755)|((dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0))))=(dsetconstr @ X756 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))|((X755)!=(X756)))&(((in @ (esk51_4 @ X755 @ X756 @ X757 @ X758) @ X756)|((dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0))))=(dsetconstr @ X756 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))|((X755)!=(X756)))&((((esk50_4 @ X755 @ X756 @ X757 @ X758)=(esk51_4 @ X755 @ X756 @ X757 @ X758))|((dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0))))=(dsetconstr @ X756 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))|((X755)!=(X756)))&((~(X757 @ (esk50_4 @ X755 @ X756 @ X757 @ X758))|~(X758 @ (esk51_4 @ X755 @ X756 @ X757 @ X758))|((dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0))))=(dsetconstr @ X756 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))|((X755)!=(X756)))&((X757 @ (esk50_4 @ X755 @ X756 @ X757 @ X758))|(X758 @ (esk51_4 @ X755 @ X756 @ X757 @ X758))|((dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0))))=(dsetconstr @ X756 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))|((X755)!=(X756)))))))&((((in @ (esk52_2 @ X761 @ X762) @ X761)|(subset @ X761 @ X762))&(~(in @ (esk52_2 @ X761 @ X762) @ X762)|(subset @ X761 @ X762)))&((((X764)!=(X765))|(subset @ X765 @ X764))&((((X766)!=(X767))|(subset @ X766 @ X767))&((((in @ (esk53_2 @ X768 @ X769) @ X768)|(subset @ X768 @ X769))&(~(in @ (esk53_2 @ X768 @ X769) @ X769)|(subset @ X768 @ X769)))&((subset @ emptyset @ X771)&((~(subset @ X772 @ X773)|(~(in @ X774 @ X772)|(in @ X774 @ X773)))&((subset @ esk54_0 @ esk55_0)&(~(in @ esk56_0 @ esk55_0)&(in @ esk56_0 @ esk54_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_122])])])])])])). 0.23/0.58 thf(c_0_124, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_123])). 0.23/0.58 thf(c_0_125, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_123])). 0.23/0.58 thf(c_0_126, negated_conjecture, ![X2:$i]:(((in @ esk56_0 @ X2)|~((subset @ esk54_0 @ X2)))), inference(spm,[status(thm)],[c_0_124, c_0_125])). 0.23/0.58 thf(c_0_127, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_123])). 0.23/0.58 thf(c_0_128, negated_conjecture, ~((in @ esk56_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_123])). 0.23/0.58 thf(c_0_129, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_128]), ['proof']). 0.23/0.58 # SZS output end CNFRefutation 0.23/0.58 # Parsed axioms : 180 0.23/0.58 # Removed by relevancy pruning/SinE : 97 0.23/0.58 # Initial clauses : 193 0.23/0.58 # Removed in clause preprocessing : 12 0.23/0.58 # Initial clauses in saturation : 181 0.23/0.58 # Processed clauses : 266 0.23/0.58 # ...of these trivial : 3 0.23/0.58 # ...subsumed : 17 0.23/0.58 # ...remaining for further processing : 246 0.23/0.58 # Other redundant clauses eliminated : 13 0.23/0.58 # Clauses deleted for lack of memory : 0 0.23/0.58 # Backward-subsumed : 0 0.23/0.58 # Backward-rewritten : 3 0.23/0.58 # Generated clauses : 168 0.23/0.58 # ...of the previous two non-redundant : 142 0.23/0.58 # ...aggressively subsumed : 0 0.23/0.58 # Contextual simplify-reflections : 0 0.23/0.58 # Paramodulations : 142 0.23/0.58 # Factorizations : 0 0.23/0.58 # NegExts : 0 0.23/0.58 # Equation resolutions : 13 0.23/0.58 # Total rewrite steps : 39 0.23/0.58 # Propositional unsat checks : 0 0.23/0.58 # Propositional check models : 0 0.23/0.58 # Propositional check unsatisfiable : 0 0.23/0.58 # Propositional clauses : 0 0.23/0.58 # Propositional clauses after purity: 0 0.23/0.58 # Propositional unsat core size : 0 0.23/0.58 # Propositional preprocessing time : 0.000 0.23/0.58 # Propositional encoding time : 0.000 0.23/0.58 # Propositional solver time : 0.000 0.23/0.58 # Success case prop preproc time : 0.000 0.23/0.58 # Success case prop encoding time : 0.000 0.23/0.58 # Success case prop solver time : 0.000 0.23/0.58 # Current number of processed clauses : 70 0.23/0.58 # Positive orientable unit clauses : 17 0.23/0.58 # Positive unorientable unit clauses: 0 0.23/0.58 # Negative unit clauses : 2 0.23/0.58 # Non-unit-clauses : 51 0.23/0.58 # Current number of unprocessed clauses: 218 0.23/0.58 # ...number of literals in the above : 706 0.23/0.58 # Current number of archived formulas : 0 0.23/0.58 # Current number of archived clauses : 164 0.23/0.58 # Clause-clause subsumption calls (NU) : 5975 0.23/0.58 # Rec. Clause-clause subsumption calls : 1804 0.23/0.58 # Non-unit clause-clause subsumptions : 12 0.23/0.58 # Unit Clause-clause subsumption calls : 21 0.23/0.58 # Rewrite failures with RHS unbound : 0 0.23/0.58 # BW rewrite match attempts : 7 0.23/0.58 # BW rewrite match successes : 3 0.23/0.58 # Condensation attempts : 266 0.23/0.58 # Condensation successes : 3 0.23/0.58 # Termbank termtop insertions : 30822 0.23/0.58 0.23/0.58 # ------------------------------------------------- 0.23/0.58 # User time : 0.044 s 0.23/0.58 # System time : 0.010 s 0.23/0.58 # Total time : 0.054 s 0.23/0.58 # Maximum resident set size: 4348 pages 0.71/180.02 0.71/180.02 # ------------------------------------------------- 0.71/180.02 # User time : 0.049 s 0.71/180.02 # System time : 0.012 s 0.71/180.02 # Total time : 0.061 s 0.71/180.02 # Maximum resident set size: 2052 pages 0.71/180.02 % E---3.1 exiting 0.71/180.02 EOF