0.12/0.14 % Problem : Vampire---4.8_21390 : TPTP v0.0.0. Released v0.0.0. 0.12/0.15 % Command : run_E %s %d THM 0.16/0.36 % Computer : n015.cluster.edu 0.16/0.36 % Model : x86_64 x86_64 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.36 % Memory : 8042.1875MB 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.36 % CPULimit : 1440 0.16/0.36 % WCLimit : 180 0.16/0.36 % DateTime : Mon Jul 3 13:12:40 EDT 2023 0.16/0.36 % CPUTime : 0.23/0.51 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.KOLaehkajT/Vampire---4.8_21390 0.23/0.51 # Version: 3.1pre001-ho 0.23/0.55 # Preprocessing class: HSMMSLSSLLLCHFA. 0.23/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.55 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.23/0.55 # Starting ehoh_best3_rw with 180s (1) cores 0.23/0.55 # Starting almost_fo_3 with 180s (1) cores 0.23/0.55 # Starting new_ho_13 with 180s (1) cores 0.23/0.55 # ehoh_best3_rw with pid 21725 completed with status 0 0.23/0.55 # Result found by ehoh_best3_rw 0.23/0.55 # Preprocessing class: HSMMSLSSLLLCHFA. 0.23/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.55 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.23/0.55 # Starting ehoh_best3_rw with 180s (1) cores 0.23/0.55 # SinE strategy is gf120_gu_RUU_F100_L01000 0.23/0.55 # Search class: HGHSM-FSLS31-SHFMMMBN 0.23/0.55 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.23/0.55 # Starting new_ho_10 with 98s (1) cores 0.23/0.55 # new_ho_10 with pid 21732 completed with status 0 0.23/0.55 # Result found by new_ho_10 0.23/0.55 # Preprocessing class: HSMMSLSSLLLCHFA. 0.23/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.23/0.55 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.23/0.55 # Starting ehoh_best3_rw with 180s (1) cores 0.23/0.55 # SinE strategy is gf120_gu_RUU_F100_L01000 0.23/0.55 # Search class: HGHSM-FSLS31-SHFMMMBN 0.23/0.55 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.23/0.55 # Starting new_ho_10 with 98s (1) cores 0.23/0.55 # Preprocessing time : 0.005 s 0.23/0.55 # Presaturation interreduction done 0.23/0.55 0.23/0.55 # Proof found! 0.23/0.55 # SZS status Theorem 0.23/0.55 # SZS output start CNFRefutation 0.23/0.55 thf(decl_22, type, in: $i > $i > $o). 0.23/0.55 thf(decl_23, type, exu: ($i > $o) > $o). 0.23/0.55 thf(decl_24, type, setextAx: $o). 0.23/0.55 thf(decl_25, type, emptyset: $i). 0.23/0.55 thf(decl_26, type, emptysetAx: $o). 0.23/0.55 thf(decl_27, type, setadjoin: $i > $i > $i). 0.23/0.55 thf(decl_28, type, setadjoinAx: $o). 0.23/0.55 thf(decl_29, type, powerset: $i > $i). 0.23/0.55 thf(decl_30, type, powersetAx: $o). 0.23/0.55 thf(decl_31, type, setunion: $i > $i). 0.23/0.55 thf(decl_32, type, setunionAx: $o). 0.23/0.55 thf(decl_33, type, omega: $i). 0.23/0.55 thf(decl_34, type, omega0Ax: $o). 0.23/0.55 thf(decl_35, type, omegaSAx: $o). 0.23/0.55 thf(decl_36, type, omegaIndAx: $o). 0.23/0.55 thf(decl_37, type, replAx: $o). 0.23/0.55 thf(decl_38, type, foundationAx: $o). 0.23/0.55 thf(decl_39, type, wellorderingAx: $o). 0.23/0.55 thf(decl_40, type, descr: ($i > $o) > $i). 0.23/0.55 thf(decl_41, type, descrp: $o). 0.23/0.55 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_43, type, dsetconstrI: $o). 0.23/0.55 thf(decl_44, type, dsetconstrEL: $o). 0.23/0.55 thf(decl_45, type, dsetconstrER: $o). 0.23/0.55 thf(decl_46, type, exuE1: $o). 0.23/0.55 thf(decl_47, type, prop2set: $o > $i). 0.23/0.55 thf(decl_48, type, prop2setE: $o). 0.23/0.55 thf(decl_49, type, emptysetE: $o). 0.23/0.55 thf(decl_50, type, emptysetimpfalse: $o). 0.23/0.55 thf(decl_51, type, notinemptyset: $o). 0.23/0.55 thf(decl_52, type, exuE3e: $o). 0.23/0.55 thf(decl_53, type, setext: $o). 0.23/0.55 thf(decl_54, type, emptyI: $o). 0.23/0.55 thf(decl_55, type, noeltsimpempty: $o). 0.23/0.55 thf(decl_56, type, setbeta: $o). 0.23/0.55 thf(decl_57, type, nonempty: $i > $o). 0.23/0.55 thf(decl_58, type, nonemptyE1: $o). 0.23/0.55 thf(decl_59, type, nonemptyI: $o). 0.23/0.55 thf(decl_60, type, nonemptyI1: $o). 0.23/0.55 thf(decl_61, type, setadjoinIL: $o). 0.23/0.55 thf(decl_62, type, emptyinunitempty: $o). 0.23/0.55 thf(decl_63, type, setadjoinIR: $o). 0.23/0.55 thf(decl_64, type, setadjoinE: $o). 0.23/0.55 thf(decl_65, type, setadjoinOr: $o). 0.23/0.55 thf(decl_66, type, setoftrueEq: $o). 0.23/0.55 thf(decl_67, type, powersetI: $o). 0.23/0.55 thf(decl_68, type, emptyinPowerset: $o). 0.23/0.55 thf(decl_69, type, emptyInPowerset: $o). 0.23/0.55 thf(decl_70, type, powersetE: $o). 0.23/0.55 thf(decl_71, type, setunionI: $o). 0.23/0.55 thf(decl_72, type, setunionE: $o). 0.23/0.55 thf(decl_73, type, subPowSU: $o). 0.23/0.55 thf(decl_74, type, exuE2: $o). 0.23/0.55 thf(decl_75, type, nonemptyImpWitness: $o). 0.23/0.55 thf(decl_76, type, uniqinunit: $o). 0.23/0.55 thf(decl_77, type, notinsingleton: $o). 0.23/0.55 thf(decl_78, type, eqinunit: $o). 0.23/0.55 thf(decl_79, type, singletonsswitch: $o). 0.23/0.55 thf(decl_80, type, upairsetE: $o). 0.23/0.55 thf(decl_81, type, upairsetIL: $o). 0.23/0.55 thf(decl_82, type, upairsetIR: $o). 0.23/0.55 thf(decl_83, type, emptyE1: $o). 0.23/0.55 thf(decl_84, type, vacuousDall: $o). 0.23/0.55 thf(decl_85, type, quantDeMorgan1: $o). 0.23/0.55 thf(decl_86, type, quantDeMorgan2: $o). 0.23/0.55 thf(decl_87, type, quantDeMorgan3: $o). 0.23/0.55 thf(decl_88, type, quantDeMorgan4: $o). 0.23/0.55 thf(decl_89, type, prop2setI: $o). 0.23/0.55 thf(decl_91, type, prop2set2propI: $o). 0.23/0.55 thf(decl_92, type, notdexE: $o). 0.23/0.55 thf(decl_93, type, notdallE: $o). 0.23/0.55 thf(decl_94, type, exuI1: $o). 0.23/0.55 thf(decl_95, type, exuI3: $o). 0.23/0.55 thf(decl_96, type, exuI2: $o). 0.23/0.55 thf(decl_97, type, inCongP: $o). 0.23/0.55 thf(decl_98, type, in__Cong: $o). 0.23/0.55 thf(decl_99, type, exuE3u: $o). 0.23/0.55 thf(decl_100, type, exu__Cong: $o). 0.23/0.55 thf(decl_101, type, emptyset__Cong: $o). 0.23/0.55 thf(decl_102, type, setadjoin__Cong: $o). 0.23/0.55 thf(decl_103, type, powerset__Cong: $o). 0.23/0.55 thf(decl_104, type, setunion__Cong: $o). 0.23/0.55 thf(decl_105, type, omega__Cong: $o). 0.23/0.55 thf(decl_106, type, exuEu: $o). 0.23/0.55 thf(decl_107, type, descr__Cong: $o). 0.23/0.55 thf(decl_108, type, dsetconstr__Cong: $o). 0.23/0.55 thf(decl_109, type, subset: $i > $i > $o). 0.23/0.55 thf(decl_112, type, subsetI1: $o). 0.23/0.55 thf(decl_113, type, eqimpsubset2: $o). 0.23/0.55 thf(decl_114, type, eqimpsubset1: $o). 0.23/0.55 thf(decl_115, type, subsetI2: $o). 0.23/0.55 thf(decl_116, type, emptysetsubset: $o). 0.23/0.55 thf(decl_117, type, subsetE: $o). 0.23/0.55 thf(decl_118, type, subsetE2: $o). 0.23/0.55 thf(decl_119, type, notsubsetI: $o). 0.23/0.55 thf(decl_120, type, notequalI1: $o). 0.23/0.55 thf(decl_121, type, notequalI2: $o). 0.23/0.55 thf(decl_122, type, epred1_0: $o). 0.23/0.55 thf(decl_123, type, esk1_2: $i > $i > $i). 0.23/0.55 thf(decl_124, type, esk2_2: $i > $i > $i). 0.23/0.55 thf(decl_125, type, esk3_2: $i > $i > $i). 0.23/0.55 thf(decl_126, type, esk4_1: $i > $i). 0.23/0.55 thf(decl_127, type, esk5_2: ($i > $i > $o) > $i > $i). 0.23/0.55 thf(decl_128, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.23/0.55 thf(decl_129, type, esk7_2: ($i > $i > $o) > $i > $i). 0.23/0.55 thf(decl_130, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.23/0.55 thf(decl_131, type, esk9_1: $i > $i). 0.23/0.55 thf(decl_132, type, esk10_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_133, type, esk11_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_134, type, esk12_1: ($i > $o) > $i). 0.23/0.55 thf(decl_135, type, esk13_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_136, type, esk14_1: ($i > $o) > $i). 0.23/0.55 thf(decl_137, type, esk15_2: $i > $i > $i). 0.23/0.55 thf(decl_138, type, esk16_2: $i > $i > $i). 0.23/0.55 thf(decl_139, type, esk17_1: $i > $i). 0.23/0.55 thf(decl_140, type, esk18_1: $i > $i). 0.23/0.55 thf(decl_141, type, esk19_1: $i > $i). 0.23/0.55 thf(decl_142, type, esk20_2: $i > $i > $i). 0.23/0.55 thf(decl_143, type, esk21_3: $i > $i > $o > $i). 0.23/0.55 thf(decl_144, type, esk22_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_145, type, esk23_1: ($i > $o) > $i). 0.23/0.55 thf(decl_146, type, esk24_1: $i > $i). 0.23/0.55 thf(decl_147, type, esk25_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_148, type, esk26_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_149, type, esk27_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_150, type, esk28_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_151, type, esk29_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_152, type, esk30_2: $i > ($i > $o) > $i). 0.23/0.55 thf(decl_153, type, esk31_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_154, type, esk32_1: ($i > $o) > $i). 0.23/0.55 thf(decl_155, type, esk33_1: ($i > $o) > $i). 0.23/0.55 thf(decl_156, type, esk34_1: ($i > $o) > $i). 0.23/0.55 thf(decl_157, type, esk35_1: ($i > $o) > $i). 0.23/0.55 thf(decl_158, type, esk36_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_159, type, esk37_1: ($i > $o) > $i). 0.23/0.55 thf(decl_160, type, esk38_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_161, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_162, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_163, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.55 thf(decl_164, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_165, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.55 thf(decl_166, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_167, type, esk45_2: ($i > $o) > $i > $i). 0.23/0.55 thf(decl_168, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_169, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_170, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.55 thf(decl_171, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.23/0.55 thf(decl_172, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_173, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.23/0.55 thf(decl_174, type, esk52_2: $i > $i > $i). 0.23/0.55 thf(decl_175, type, esk53_2: $i > $i > $i). 0.23/0.55 thf(decl_176, type, esk54_0: $i). 0.23/0.55 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', nonempty)). 0.23/0.55 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', descrp)). 0.23/0.55 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exu)). 0.23/0.55 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', replAx)). 0.23/0.55 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuI2)). 0.23/0.55 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', descr__Cong)). 0.23/0.55 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuE2)). 0.23/0.55 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/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuEu)). 0.23/0.55 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exu__Cong)). 0.23/0.55 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuE3u)). 0.23/0.55 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuI3)). 0.23/0.55 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuI1)). 0.23/0.55 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', nonemptyI)). 0.23/0.55 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuE3e)). 0.23/0.55 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', exuE1)). 0.23/0.55 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setoftrueEq)). 0.23/0.55 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', nonemptyI1)). 0.23/0.55 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', dsetconstrEL)). 0.23/0.55 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', dsetconstr__Cong)). 0.23/0.55 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.KOLaehkajT/Vampire---4.8_21390', emptyE1)). 0.23/0.55 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', nonemptyImpWitness)). 0.23/0.55 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', nonemptyE1)). 0.23/0.55 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setbeta)). 0.23/0.55 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', dsetconstrER)). 0.23/0.55 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', dsetconstrI)). 0.23/0.55 thf(subsetRefl, conjecture, (((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>(((omega0Ax)=>((((((((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>(((((setbeta)=>((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((((((setoftrueEq)=>((((((setunionI)=>((((exuE2)=>(((uniqinunit)=>((((singletonsswitch)=>((((((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((((prop2setI)=>(((notdexE)=>((notdallE)=>((((exuI2)=>((inCongP)=>((in__Cong)=>((((emptyset__Cong)=>((setadjoin__Cong)=>(((setunion__Cong)=>((omega__Cong)=>(((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>(((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((((notequalI2)=>![X4:$i]:((subset @ X4 @ X4)))<=(notequalI1))<=(notsubsetI))))))<=(eqimpsubset1))))))<=(exuEu))))<=(powerset__Cong))))<=(exu__Cong))<=(exuE3u)))))<=(exuI3))<=(exuI1))))<=(prop2set2propI)))<=(quantDeMorgan4))<=(quantDeMorgan3)))))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE)))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1)))))<=(noeltsimpempty))<=(emptyI))<=(setext)))))<=(emptysetE))<=(prop2setE))))<=(dsetconstrEL)))<=(descrp))<=(wellorderingAx))<=(foundationAx))<=(replAx))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx)))))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subsetRefl)). 0.23/0.55 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setunionI)). 0.23/0.55 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setextAx)). 0.23/0.55 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptyinunitempty)). 0.23/0.55 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', noeltsimpempty)). 0.23/0.55 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptyI)). 0.23/0.55 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', vacuousDall)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', setext)). 0.23/0.55 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptysetE)). 0.23/0.55 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', quantDeMorgan1)). 0.23/0.55 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', prop2setE)). 0.23/0.55 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', quantDeMorgan2)). 0.23/0.55 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.KOLaehkajT/Vampire---4.8_21390', wellorderingAx)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', foundationAx)). 0.23/0.55 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', prop2setI)). 0.23/0.55 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.KOLaehkajT/Vampire---4.8_21390', omegaIndAx)). 0.23/0.55 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', omegaSAx)). 0.23/0.55 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setunionAx)). 0.23/0.55 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notdexE)). 0.23/0.55 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notdallE)). 0.23/0.55 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notequalI2)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', inCongP)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', in__Cong)). 0.23/0.55 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptyset__Cong)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', setadjoin__Cong)). 0.23/0.55 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setunion__Cong)). 0.23/0.55 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', omega__Cong)). 0.23/0.55 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subsetI1)). 0.23/0.55 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', eqimpsubset2)). 0.23/0.55 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subsetI2)). 0.23/0.55 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptysetsubset)). 0.23/0.55 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subsetE)). 0.23/0.55 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subsetE2)). 0.23/0.55 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notequalI1)). 0.23/0.55 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notsubsetI)). 0.23/0.55 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', eqimpsubset1)). 0.23/0.55 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', powerset__Cong)). 0.23/0.55 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', quantDeMorgan4)). 0.23/0.55 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', quantDeMorgan3)). 0.23/0.55 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', uniqinunit)). 0.23/0.55 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', upairsetIR)). 0.23/0.55 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', upairsetIL)). 0.23/0.55 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', upairsetE)). 0.23/0.55 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', eqinunit)). 0.23/0.55 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notinsingleton)). 0.23/0.55 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', subPowSU)). 0.23/0.55 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.KOLaehkajT/Vampire---4.8_21390', setunionE)). 0.23/0.55 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', powersetE)). 0.23/0.55 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptyInPowerset)). 0.23/0.55 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptyinPowerset)). 0.23/0.55 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', powersetI)). 0.23/0.55 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setadjoinOr)). 0.23/0.55 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setadjoinE)). 0.23/0.55 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setadjoinIR)). 0.23/0.55 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', singletonsswitch)). 0.23/0.55 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setadjoinIL)). 0.23/0.55 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', notinemptyset)). 0.23/0.55 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptysetimpfalse)). 0.23/0.55 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', omega0Ax)). 0.23/0.55 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', powersetAx)). 0.23/0.55 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', setadjoinAx)). 0.23/0.55 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.KOLaehkajT/Vampire---4.8_21390', emptysetAx)). 0.23/0.55 thf(c_0_87, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.23/0.55 thf(c_0_88, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.23/0.55 thf(c_0_89, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.23/0.55 thf(c_0_90, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.23/0.55 thf(c_0_91, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.23/0.55 thf(c_0_92, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.23/0.55 thf(c_0_93, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.23/0.55 thf(c_0_94, 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])). 0.23/0.55 thf(c_0_95, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.23/0.55 thf(c_0_96, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.23/0.55 thf(c_0_97, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.23/0.55 thf(c_0_98, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.23/0.55 thf(c_0_99, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.23/0.55 thf(c_0_100, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.23/0.55 thf(c_0_101, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.23/0.55 thf(c_0_102, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.23/0.55 thf(c_0_103, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_87])). 0.23/0.55 thf(c_0_104, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.23/0.55 thf(c_0_105, plain, ((descrp)=(![X1:$i > $o]:(((?[X258:$i]:((((X1 @ X258))&![X259:$i]:((((X1 @ X259))=>((X258)=(X259)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_89])). 0.23/0.55 thf(c_0_106, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X256:$i]:((((X6 @ X2 @ X256))&![X257:$i]:((((X6 @ X2 @ X257))=>((X256)=(X257)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_89])). 0.23/0.55 thf(c_0_107, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X270:$i]:((((X1 @ X270))&![X271:$i]:((((X1 @ X271))=>((X270)=(X271))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_89])). 0.23/0.55 thf(c_0_108, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X280:$i]:((((X1 @ X280))&![X281:$i]:((((X1 @ X281))=>((X280)=(X281)))))))=>((?[X282:$i]:((((X17 @ X282))&![X283:$i]:((((X17 @ X283))=>((X282)=(X283)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_89])). 0.23/0.55 thf(c_0_109, plain, ((exuE2)=(![X1:$i > $o]:(((?[X264:$i]:((((X1 @ X264))&![X265:$i]:((((X1 @ X265))=>((X264)=(X265)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_89])). 0.23/0.55 thf(c_0_110, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.23/0.55 thf(c_0_111, plain, ((exuEu)=(![X1:$i > $o]:(((?[X278:$i]:((((X1 @ X278))&![X279:$i]:((((X1 @ X279))=>((X278)=(X279)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_89])). 0.23/0.55 thf(c_0_112, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X274:$i]:((((X1 @ X274))&![X275:$i]:((((X1 @ X275))=>((X274)=(X275)))))))<=>(?[X276:$i]:((((X17 @ X276))&![X277:$i]:((((X17 @ X277))=>((X276)=(X277)))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_89])). 0.23/0.55 thf(c_0_113, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X272:$i]:((((X1 @ X272))&![X273:$i]:((((X1 @ X273))=>((X272)=(X273)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_89])). 0.23/0.55 thf(c_0_114, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X268:$i]:((((X1 @ X268))&![X269:$i]:((((X1 @ X269))=>((X268)=(X269)))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_89])). 0.23/0.55 thf(c_0_115, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X266:$i]:((((X1 @ X266))&![X267:$i]:((((X1 @ X267))=>((X266)=(X267))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_89])). 0.23/0.55 thf(c_0_116, plain, ((emptyE1)<=>![X4:$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])). 0.23/0.55 thf(c_0_117, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_87])). 0.23/0.55 thf(c_0_118, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_87])). 0.23/0.55 thf(c_0_119, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_87])). 0.23/0.55 thf(c_0_120, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.23/0.55 thf(c_0_121, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X262:$i]:((((X1 @ X262))&![X263:$i]:((((X1 @ X263))=>((X262)=(X263)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_100, c_0_89])). 0.23/0.55 thf(c_0_122, plain, ((exuE1)=(![X1:$i > $o]:(((?[X260:$i]:((((X1 @ X260))&![X261:$i]:((((X1 @ X261))=>((X260)=(X261)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_89])). 0.23/0.55 thf(c_0_123, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.23/0.55 thf(c_0_124, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.23/0.55 thf(c_0_125, plain, ((epred1_0)<=>![X507:$i]:(?[X508:$i]:((((![X509:$i]:(((in @ X509 @ X508)=>![X510:$i]:(((in @ X510 @ X509)=>(in @ X510 @ X507)))))&![X511:$i, X512:$i]:((((in @ X511 @ X507)&(in @ X512 @ X507))=>(![X513:$i]:(((in @ X513 @ X508)=>((in @ X511 @ X513)<=>(in @ X512 @ X513))))=>((X511)=(X512))))))&![X514:$i, X515:$i]:((((in @ X514 @ X508)&(in @ X515 @ X508))=>(![X516:$i]:(((in @ X516 @ X514)=>(in @ X516 @ X515)))|![X517:$i]:(((in @ X517 @ X515)=>(in @ X517 @ X514)))))))&![X518:$i]:(((![X519:$i]:(((in @ X519 @ X518)=>(in @ X519 @ X507)))&?[X520:$i]:((in @ X520 @ X518)))=>?[X521:$i, X522:$i]:(((((in @ X521 @ X508)&(in @ X522 @ X518))&~(?[X523:$i]:(((in @ X523 @ X521)&(in @ X523 @ X518)))))&![X524:$i]:(((in @ X524 @ X508)=>(![X525:$i]:(((in @ X525 @ X524)=>(in @ X525 @ X521)))|(in @ X522 @ X524)))))))))))), introduced(definition)). 0.23/0.55 thf(c_0_126, negated_conjecture, ~((![X545:$i, X546:$i]:((![X547:$i]:(((in @ X547 @ X545)<=>(in @ X547 @ X546)))=>((X545)=(X546))))=>(![X284:$i]:(~(in @ X284 @ emptyset))=>(![X285:$i, X286:$i, X287:$i]:(((in @ X287 @ (setadjoin @ X285 @ X286))<=>(((X287)=(X285))|(in @ X287 @ X286))))=>(![X288:$i, X289:$i]:(((in @ X289 @ (powerset @ X288))<=>![X290:$i]:(((in @ X290 @ X289)=>(in @ X290 @ X288)))))=>(![X542:$i, X543:$i]:(((in @ X543 @ (setunion @ X542))<=>?[X544:$i]:(((in @ X543 @ X544)&(in @ X544 @ X542)))))=>((in @ emptyset @ omega)=>(![X541:$i]:(((in @ X541 @ omega)=>(in @ (setadjoin @ X541 @ X541) @ omega)))=>(![X538:$i]:((((in @ emptyset @ X538)&![X539:$i]:((((in @ X539 @ omega)&(in @ X539 @ X538))=>(in @ (setadjoin @ X539 @ X539) @ X538))))=>![X540:$i]:(((in @ X540 @ omega)=>(in @ X540 @ X538)))))=>(![X530:$i > $i > $o, X531:$i]:((![X532:$i]:(((in @ X532 @ X531)=>?[X533:$i]:(((X530 @ X532 @ X533)&![X534:$i]:(((X530 @ X532 @ X534)=>((X533)=(X534))))))))=>?[X535:$i]:(![X536:$i]:(((in @ X536 @ X535)<=>?[X537:$i]:(((in @ X537 @ X531)&(X530 @ X537 @ X536))))))))=>(![X526:$i]:((?[X527:$i]:((in @ X527 @ X526))=>?[X528:$i]:(((in @ X528 @ X526)&~(?[X529:$i]:(((in @ X529 @ X528)&(in @ X529 @ X526))))))))=>((epred1_0)=>(![X504:$i > $o]:((?[X505:$i]:(((X504 @ X505)&![X506:$i]:(((X504 @ X506)=>((X505)=(X506))))))=>(X504 @ (descr @ (^[Z0/* 3 */:$i]:((X504 @ Z0)))))))=>(![X291:$i, X292:$i > $o, X293:$i]:(((in @ X293 @ X291)=>((X292 @ X293)=>(in @ X293 @ (dsetconstr @ X291 @ (^[Z0/* 3 */:$i]:((X292 @ Z0))))))))=>(![X501:$i, X502:$i > $o, X503:$i]:(((in @ X503 @ (dsetconstr @ X501 @ (^[Z0/* 3 */:$i]:((X502 @ Z0)))))=>(in @ X503 @ X501)))=>(![X294:$i, X295:$i > $o, X296:$i]:(((in @ X296 @ (dsetconstr @ X294 @ (^[Z0/* 3 */:$i]:((X295 @ Z0)))))=>(X295 @ X296)))=>(![X297:$i > $o]:((?[X298:$i]:(((X297 @ X298)&![X299:$i]:(((X297 @ X299)=>((X298)=(X299))))))=>?[X300:$i]:(((X297 @ X300)&![X301:$i]:(((X297 @ X301)=>((X300)=(X301))))))))=>(![X499:$o, X500:$i]:(((in @ X500 @ (prop2set @ ((X499))))=>(X499)))=>(![X497:$i]:(((in @ X497 @ emptyset)=>![X498:$o]:((X498))))=>(![X302:$i]:(~(in @ X302 @ emptyset))=>(![X303:$i]:(~(in @ X303 @ emptyset))=>(![X304:$i > $o]:((?[X305:$i]:(((X304 @ X305)&![X306:$i]:(((X304 @ X306)=>((X305)=(X306))))))=>?[X307:$i]:((X304 @ X307))))=>(![X493:$i, X494:$i]:((![X495:$i]:(((in @ X495 @ X493)=>(in @ X495 @ X494)))=>(![X496:$i]:(((in @ X496 @ X494)=>(in @ X496 @ X493)))=>((X493)=(X494)))))=>(![X491:$i]:((![X492:$i]:(~(in @ X492 @ X491))=>((X491)=(emptyset))))=>(![X489:$i]:((![X490:$i]:(~(in @ X490 @ X489))=>((X489)=(emptyset))))=>(![X308:$i, X309:$i > $o, X310:$i]:(((in @ X310 @ X308)=>((in @ X310 @ (dsetconstr @ X308 @ (^[Z0/* 3 */:$i]:((X309 @ Z0)))))<=>(X309 @ X310))))=>(![X311:$i]:((((X311)!=(emptyset))=>?[X312:$i]:((in @ X312 @ X311))))=>(![X313:$i, X314:$i > $o, X315:$i]:(((in @ X315 @ X313)=>((X314 @ X315)=>((dsetconstr @ X313 @ (^[Z0/* 3 */:$i]:((X314 @ Z0))))!=(emptyset)))))=>(![X487:$i]:((?[X488:$i]:((in @ X488 @ X487))=>((X487)!=(emptyset))))=>(![X316:$i, X317:$i]:((in @ X316 @ (setadjoin @ X316 @ X317)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X484:$i, X485:$i, X486:$i]:(((in @ X486 @ X485)=>(in @ X486 @ (setadjoin @ X484 @ X485))))=>(![X480:$i, X481:$i, X482:$i]:(((in @ X482 @ (setadjoin @ X480 @ X481))=>![X483:$o]:(((((X482)=(X480))=>(X483))=>(((in @ X482 @ X481)=>(X483))=>(X483))))))=>(![X477:$i, X478:$i, X479:$i]:(((in @ X479 @ (setadjoin @ X477 @ X478))=>(((X479)=(X477))|(in @ X479 @ X478))))=>(![X318:$i]:(((dsetconstr @ X318 @ (^[Z0/* 3 */:$i]:(($true))))=(X318)))=>(![X474:$i, X475:$i]:((![X476:$i]:(((in @ X476 @ X475)=>(in @ X476 @ X474)))=>(in @ X475 @ (powerset @ X474))))=>(![X473:$i]:((in @ emptyset @ (powerset @ X473)))=>(![X472:$i]:((in @ emptyset @ (powerset @ X472)))=>(![X469:$i, X470:$i, X471:$i]:(((in @ X470 @ (powerset @ X469))=>((in @ X471 @ X470)=>(in @ X471 @ X469))))=>(![X319:$i, X320:$i, X321:$i]:(((in @ X320 @ X321)=>((in @ X321 @ X319)=>(in @ X320 @ (setunion @ X319)))))=>(![X465:$i, X466:$i]:(((in @ X466 @ (setunion @ X465))=>![X467:$o]:((![X468:$i]:(((in @ X466 @ X468)=>((in @ X468 @ X465)=>(X467))))=>(X467)))))=>(![X463:$i, X464:$i]:(((in @ X464 @ X463)=>(in @ X464 @ (powerset @ (setunion @ X463)))))=>(![X322:$i > $o]:((?[X323:$i]:(((X322 @ X323)&![X324:$i]:(((X322 @ X324)=>((X323)=(X324))))))=>?[X325:$i]:(![X326:$i]:(((X322 @ X326)<=>((X326)=(X325)))))))=>(![X461:$i]:((((X461)!=(emptyset))=>?[X462:$i]:((in @ X462 @ X461))))=>(![X327:$i, X328:$i]:(((in @ X327 @ (setadjoin @ X328 @ emptyset))=>((X327)=(X328))))=>(![X459:$i, X460:$i]:((((X459)!=(X460))=>~(in @ X460 @ (setadjoin @ X459 @ emptyset))))=>(![X457:$i, X458:$i]:((((X457)=(X458))=>(in @ X457 @ (setadjoin @ X458 @ emptyset))))=>(![X329:$i, X330:$i]:(((in @ X329 @ (setadjoin @ X330 @ emptyset))=>(in @ X330 @ (setadjoin @ X329 @ emptyset))))=>(![X454:$i, X455:$i, X456:$i]:(((in @ X456 @ (setadjoin @ X454 @ (setadjoin @ X455 @ emptyset)))=>(((X456)=(X454))|((X456)=(X455)))))=>(![X452:$i, X453:$i]:((in @ X452 @ (setadjoin @ X452 @ (setadjoin @ X453 @ emptyset))))=>(![X450:$i, X451:$i]:((in @ X451 @ (setadjoin @ X450 @ (setadjoin @ X451 @ emptyset))))=>(![X447:$i, X448:$i > $o]:((?[X449:$i]:(((in @ X449 @ X447)&(X448 @ X449)))=>((dsetconstr @ X447 @ (^[Z0/* 3 */:$i]:((X448 @ Z0))))!=(emptyset))))=>(![X331:$i > $o, X332:$i]:(((in @ X332 @ emptyset)=>(X331 @ X332)))=>(![X333:$i, X334:$i > $o]:((~(![X335:$i]:(((in @ X335 @ X333)=>(X334 @ X335))))=>?[X336:$i]:(((in @ X336 @ X333)&~(X334 @ X336)))))=>(![X337:$i, X338:$i > $o]:((![X339:$i]:(((in @ X339 @ X337)=>~(X338 @ X339)))=>~(?[X340:$i]:(((in @ X340 @ X337)&(X338 @ X340))))))=>(![X443:$i, X444:$i > $o]:((~(?[X445:$i]:(((in @ X445 @ X443)&(X444 @ X445))))=>![X446:$i]:(((in @ X446 @ X443)=>~(X444 @ X446)))))=>(![X439:$i, X440:$i > $o]:((?[X441:$i]:(((in @ X441 @ X439)&~(X440 @ X441)))=>~(![X442:$i]:(((in @ X442 @ X439)=>(X440 @ X442))))))=>(![X341:$o]:(((X341)=>(in @ emptyset @ (prop2set @ ((X341))))))=>((prop2set2propI)=>(![X342:$i, X343:$i > $o]:((~(?[X344:$i]:(((in @ X344 @ X342)&(X343 @ X344))))=>![X345:$i]:(((in @ X345 @ X342)=>~(X343 @ X345)))))=>(![X346:$i, X347:$i > $o]:((~(![X348:$i]:(((in @ X348 @ X346)=>(X347 @ X348))))=>?[X349:$i]:(((in @ X349 @ X346)&~(X347 @ X349)))))=>(![X434:$i > $o]:((?[X435:$i]:(((X434 @ X435)&![X436:$i]:(((X434 @ X436)=>((X435)=(X436))))))=>?[X437:$i]:(((X434 @ X437)&![X438:$i]:(((X434 @ X438)=>((X437)=(X438))))))))=>(![X428:$i > $o]:((?[X429:$i]:((X428 @ X429))=>(![X430:$i, X431:$i]:(((X428 @ X430)=>((X428 @ X431)=>((X430)=(X431)))))=>?[X432:$i]:(((X428 @ X432)&![X433:$i]:(((X428 @ X433)=>((X432)=(X433)))))))))=>(![X350:$i > $o]:((?[X351:$i]:(![X352:$i]:(((X350 @ X352)<=>((X352)=(X351)))))=>?[X353:$i]:(((X350 @ X353)&![X354:$i]:(((X350 @ X354)=>((X353)=(X354))))))))=>(![X355:$i, X356:$i]:((((X355)=(X356))=>![X357:$i, X358:$i]:((((X357)=(X358))=>((in @ X357 @ X355)=>(in @ X358 @ X356))))))=>(![X359:$i, X360:$i]:((((X359)=(X360))=>![X361:$i, X362:$i]:((((X361)=(X362))=>((in @ X361 @ X359)<=>(in @ X362 @ X360))))))=>(![X423:$i > $o]:((?[X424:$i]:(((X423 @ X424)&![X425:$i]:(((X423 @ X425)=>((X424)=(X425))))))=>![X426:$i, X427:$i]:(((X423 @ X426)=>((X423 @ X427)=>((X426)=(X427)))))))=>(![X415:$i > $o, X416:$i > $o]:((![X417:$i, X418:$i]:((((X417)=(X418))=>((X415 @ X417)<=>(X416 @ X418))))=>(?[X419:$i]:(((X415 @ X419)&![X420:$i]:(((X415 @ X420)=>((X419)=(X420))))))<=>?[X421:$i]:(((X416 @ X421)&![X422:$i]:(((X416 @ X422)=>((X421)=(X422)))))))))=>(((emptyset)=(emptyset))=>(![X363:$i, X364:$i]:((((X363)=(X364))=>![X365:$i, X366:$i]:((((X365)=(X366))=>((setadjoin @ X363 @ X365)=(setadjoin @ X364 @ X366))))))=>(![X413:$i, X414:$i]:((((X413)=(X414))=>((powerset @ X413)=(powerset @ X414))))=>(![X367:$i, X368:$i]:((((X367)=(X368))=>((setunion @ X367)=(setunion @ X368))))=>(((omega)=(omega))=>(![X408:$i > $o]:((?[X409:$i]:(((X408 @ X409)&![X410:$i]:(((X408 @ X410)=>((X409)=(X410))))))=>![X411:$i, X412:$i]:(((X408 @ X411)=>((X408 @ X412)=>((X411)=(X412)))))))=>(![X369:$i > $o, X370:$i > $o]:((![X371:$i, X372:$i]:((((X371)=(X372))=>((X369 @ X371)<=>(X370 @ X372))))=>(?[X373:$i]:(((X369 @ X373)&![X374:$i]:(((X369 @ X374)=>((X373)=(X374))))))=>(?[X375:$i]:(((X370 @ X375)&![X376:$i]:(((X370 @ X376)=>((X375)=(X376))))))=>((descr @ (^[Z0/* 3 */:$i]:((X369 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X370 @ Z0)))))))))=>(![X377:$i, X378:$i]:((((X377)=(X378))=>![X379:$i > $o, X380:$i > $o]:((![X381:$i]:(((in @ X381 @ X377)=>![X382:$i]:(((in @ X382 @ X378)=>(((X381)=(X382))=>((X379 @ X381)<=>(X380 @ X382)))))))=>((dsetconstr @ X377 @ (^[Z0/* 3 */:$i]:((X379 @ Z0))))=(dsetconstr @ X378 @ (^[Z0/* 3 */:$i]:((X380 @ Z0)))))))))=>(![X383:$i, X384:$i]:((![X385:$i]:(((in @ X385 @ X383)=>(in @ X385 @ X384)))=>(subset @ X383 @ X384)))=>(![X386:$i, X387:$i]:((((X386)=(X387))=>(subset @ X387 @ X386)))=>(![X406:$i, X407:$i]:((((X406)=(X407))=>(subset @ X406 @ X407)))=>(![X388:$i, X389:$i]:((![X390:$i]:(((in @ X390 @ X388)=>(in @ X390 @ X389)))=>(subset @ X388 @ X389)))=>(![X391:$i]:((subset @ emptyset @ X391))=>(![X392:$i, X393:$i, X394:$i]:(((subset @ X392 @ X393)=>((in @ X394 @ X392)=>(in @ X394 @ X393))))=>(![X395:$i, X396:$i, X397:$i]:(((subset @ X395 @ X396)=>(~(in @ X397 @ X396)=>~(in @ X397 @ X395))))=>(![X403:$i, X404:$i, X405:$i]:(((in @ X405 @ X403)=>(~(in @ X405 @ X404)=>~(subset @ X403 @ X404))))=>(![X401:$i, X402:$i]:((~(subset @ X401 @ X402)=>((X401)!=(X402))))=>(![X398:$i, X399:$i, X400:$i]:(((in @ X400 @ X398)=>(~(in @ X400 @ X399)=>((X398)!=(X399)))))=>![X4:$i]:((subset @ X4 @ 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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[subsetRefl]), setunionI]), setextAx]), emptyinunitempty]), c_0_102]), c_0_103]), noeltsimpempty]), emptyI]), vacuousDall]), setext]), emptysetE]), quantDeMorgan1]), prop2setE]), c_0_104]), c_0_105]), quantDeMorgan2]), wellorderingAx]), foundationAx]), prop2setI]), c_0_106]), omegaIndAx]), omegaSAx]), setunionAx]), notdexE]), notdallE]), notequalI2]), c_0_107]), inCongP]), in__Cong]), emptyset__Cong]), setadjoin__Cong]), setunion__Cong]), omega__Cong]), c_0_108]), c_0_109]), c_0_110]), subsetI1]), eqimpsubset2]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notequalI1]), notsubsetI]), eqimpsubset1]), c_0_111]), powerset__Cong]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), quantDeMorgan4]), quantDeMorgan3]), uniqinunit]), c_0_116]), upairsetIR]), upairsetIL]), upairsetE]), eqinunit]), notinsingleton]), c_0_117]), subPowSU]), setunionE]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), setadjoinOr]), setadjoinE]), setadjoinIR]), singletonsswitch]), setadjoinIL]), c_0_118]), c_0_119]), c_0_120]), c_0_121]), notinemptyset]), emptysetimpfalse]), c_0_122]), c_0_123]), c_0_124]), omega0Ax]), powersetAx]), setadjoinAx]), emptysetAx])]), c_0_125])). 0.23/0.55 thf(c_0_127, negated_conjecture, ![X548:$i, X549:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$i, X558:$i, X559:$i, X561:$i, X562:$i, X564:$i, X565:$i, X566:$i, X567:$i, X568:$i, X570:$i, X571:$i > $i > $o, X572:$i, X574:$i, X577:$i, X579:$i, X580:$i, X581:$i, X582:$i, X584:$i, X585:$i > $o, X586:$i, X588:$i, X589:$i > $o, X590:$i, X591:$i, X592:$i > $o, X593:$i, X594:$i, X595:$i > $o, X596:$i, X597:$i > $o, X598:$i, X601:$i, X602:$o, X603:$i, X604:$i, X605:$o, X606:$i, X607:$i, X608:$i > $o, X609:$i, X612:$i, X613:$i, X616:$i, X618:$i, X620:$i, X621:$i > $o, X622:$i, X623:$i, X625:$i, X626:$i > $o, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$o, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X644:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$o, X658:$i, X659:$i, X660:$i > $o, X661:$i, X664:$i, X665:$i, X666:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i > $o, X685:$i, X686:$i > $o, X687:$i, X688:$i, X689:$i > $o, X690:$i, X692:$i, X693:$i > $o, X695:$i, X696:$i, X697:$i > $o, X699:$i, X700:$i, X701:$i > $o, X702:$i, X704:$o, X705:$i, X706:$i > $o, X708:$i, X709:$i, X710:$i > $o, X711:$i, X713:$i > $o, X714:$i, X717:$i, X718:$i > $o, X719:$i, X723:$i, X724:$i > $o, X725:$i, X728:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i > $o, X738:$i, X740:$i, X741:$i, X742:$i > $o, X743:$i > $o, X746:$i, X749:$i, X750:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i > $o, X763:$i, X765:$i, X766:$i, X767:$i > $o, X768:$i > $o, X771:$i, X773:$i, X775:$i, X776:$i, X777:$i > $o, X778:$i > $o, X781:$i, X782:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i]:((((~(in @ (esk1_2 @ X548 @ X549) @ X548)|~(in @ (esk1_2 @ X548 @ X549) @ X549)|((X548)=(X549)))&((in @ (esk1_2 @ X548 @ X549) @ X548)|(in @ (esk1_2 @ X548 @ X549) @ X549)|((X548)=(X549))))&(~(in @ X551 @ emptyset)&(((~(in @ X554 @ (setadjoin @ X552 @ X553))|(((X554)=(X552))|(in @ X554 @ X553)))&((((X554)!=(X552))|(in @ X554 @ (setadjoin @ X552 @ X553)))&(~(in @ X554 @ X553)|(in @ X554 @ (setadjoin @ X552 @ X553)))))&(((~(in @ X556 @ (powerset @ X555))|(~(in @ X557 @ X556)|(in @ X557 @ X555)))&(((in @ (esk2_2 @ X558 @ X559) @ X559)|(in @ X559 @ (powerset @ X558)))&(~(in @ (esk2_2 @ X558 @ X559) @ X558)|(in @ X559 @ (powerset @ X558)))))&(((((in @ X562 @ (esk3_2 @ X561 @ X562))|~(in @ X562 @ (setunion @ X561)))&((in @ (esk3_2 @ X561 @ X562) @ X561)|~(in @ X562 @ 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X743))|(X743 @ (esk40_2 @ X742 @ X743))))&(~(X742 @ X753)|((esk44_2 @ X742 @ X743)=(X753))|(((X750)!=(esk43_3 @ X742 @ X743 @ X750))|~(X743 @ X750))|((X742 @ (esk39_2 @ X742 @ X743))|(X743 @ (esk40_2 @ X742 @ X743)))))))))&(((emptyset)=(emptyset))&((((X754)!=(X755))|(((X756)!=(X757))|((setadjoin @ X754 @ X756)=(setadjoin @ X755 @ X757))))&((((X758)!=(X759))|((powerset @ X758)=(powerset @ X759)))&((((X760)!=(X761))|((setunion @ X760)=(setunion @ X761)))&(((omega)=(omega))&((((X762 @ (esk45_2 @ X762 @ X763))|~(X762 @ X763)|(~(X762 @ X765)|(~(X762 @ X766)|((X765)=(X766)))))&(((X763)!=(esk45_2 @ X762 @ X763))|~(X762 @ X763)|(~(X762 @ X765)|(~(X762 @ X766)|((X765)=(X766))))))&((((((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((esk46_2 @ X767 @ X768)=(esk47_2 @ X767 @ X768)))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((esk46_2 @ X767 @ X768)=(esk47_2 @ X767 @ X768))))&(((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((esk46_2 @ X767 @ X768)=(esk47_2 @ X767 @ X768)))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((esk46_2 @ X767 @ X768)=(esk47_2 @ X767 @ X768)))))&(((((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|(~(X767 @ (esk46_2 @ X767 @ X768))|~(X768 @ (esk47_2 @ X767 @ X768))))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|(~(X767 @ (esk46_2 @ X767 @ X768))|~(X768 @ (esk47_2 @ X767 @ X768)))))&(((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|(~(X767 @ (esk46_2 @ X767 @ X768))|~(X768 @ (esk47_2 @ X767 @ X768))))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|(~(X767 @ (esk46_2 @ X767 @ X768))|~(X768 @ (esk47_2 @ X767 @ X768))))))&((((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((X767 @ (esk46_2 @ X767 @ X768))|(X768 @ (esk47_2 @ X767 @ X768))))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|((X767 @ (esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((X767 @ (esk46_2 @ X767 @ X768))|(X768 @ (esk47_2 @ X767 @ X768)))))&(((X768 @ (esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((X767 @ (esk46_2 @ X767 @ X768))|(X768 @ (esk47_2 @ X767 @ X768))))&(((X773)!=(esk49_3 @ X767 @ X768 @ X773))|~(X768 @ X773)|((descr @ (^[Z0/* 3 */:$i]:((X767 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X768 @ Z0)))))|(((X771)!=(esk48_3 @ X767 @ X768 @ X771))|~(X767 @ X771))|((X767 @ (esk46_2 @ X767 @ X768))|(X768 @ (esk47_2 @ X767 @ X768))))))))&((((in @ (esk50_4 @ X775 @ X776 @ X777 @ X778) @ X775)|((dsetconstr @ X775 @ (^[Z0/* 3 */:$i]:((X777 @ Z0))))=(dsetconstr @ X776 @ (^[Z0/* 3 */:$i]:((X778 @ Z0)))))|((X775)!=(X776)))&(((in @ (esk51_4 @ X775 @ X776 @ X777 @ X778) @ X776)|((dsetconstr @ X775 @ (^[Z0/* 3 */:$i]:((X777 @ Z0))))=(dsetconstr @ X776 @ (^[Z0/* 3 */:$i]:((X778 @ Z0)))))|((X775)!=(X776)))&((((esk50_4 @ X775 @ X776 @ X777 @ X778)=(esk51_4 @ X775 @ X776 @ X777 @ X778))|((dsetconstr @ X775 @ (^[Z0/* 3 */:$i]:((X777 @ Z0))))=(dsetconstr @ X776 @ (^[Z0/* 3 */:$i]:((X778 @ Z0)))))|((X775)!=(X776)))&((~(X777 @ (esk50_4 @ X775 @ X776 @ X777 @ X778))|~(X778 @ (esk51_4 @ X775 @ X776 @ X777 @ X778))|((dsetconstr @ X775 @ (^[Z0/* 3 */:$i]:((X777 @ Z0))))=(dsetconstr @ X776 @ (^[Z0/* 3 */:$i]:((X778 @ Z0)))))|((X775)!=(X776)))&((X777 @ (esk50_4 @ X775 @ X776 @ X777 @ X778))|(X778 @ (esk51_4 @ X775 @ X776 @ X777 @ X778))|((dsetconstr @ X775 @ (^[Z0/* 3 */:$i]:((X777 @ Z0))))=(dsetconstr @ X776 @ (^[Z0/* 3 */:$i]:((X778 @ Z0)))))|((X775)!=(X776)))))))&((((in @ (esk52_2 @ X781 @ X782) @ X781)|(subset @ X781 @ X782))&(~(in @ (esk52_2 @ X781 @ X782) @ X782)|(subset @ X781 @ X782)))&((((X784)!=(X785))|(subset @ X785 @ X784))&((((X786)!=(X787))|(subset @ X786 @ X787))&((((in @ (esk53_2 @ X788 @ X789) @ X788)|(subset @ X788 @ X789))&(~(in @ (esk53_2 @ X788 @ X789) @ X789)|(subset @ X788 @ X789)))&((subset @ emptyset @ X791)&((~(subset @ X792 @ X793)|(~(in @ X794 @ X792)|(in @ X794 @ X793)))&((~(subset @ X795 @ X796)|((in @ X797 @ X796)|~(in @ X797 @ X795)))&((~(in @ X800 @ X798)|((in @ X800 @ X799)|~(subset @ X798 @ X799)))&(((subset @ X801 @ X802)|((X801)!=(X802)))&((~(in @ X805 @ X803)|((in @ X805 @ X804)|((X803)!=(X804))))&~(subset @ esk54_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_126])])])])])])). 0.23/0.55 thf(c_0_128, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X3 @ X2)|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_127])). 0.23/0.55 thf(c_0_129, negated_conjecture, ~((subset @ esk54_0 @ esk54_0)), inference(split_conjunct,[status(thm)],[c_0_127])). 0.23/0.55 thf(c_0_130, negated_conjecture, ![X2:$i]:((subset @ X2 @ X2)), inference(er,[status(thm)],[c_0_128])). 0.23/0.55 thf(c_0_131, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129, c_0_130])]), ['proof']). 0.23/0.55 # SZS output end CNFRefutation 0.23/0.55 # Parsed axioms : 188 0.23/0.55 # Removed by relevancy pruning/SinE : 101 0.23/0.55 # Initial clauses : 195 0.23/0.55 # Removed in clause preprocessing : 13 0.23/0.55 # Initial clauses in saturation : 182 0.23/0.55 # Processed clauses : 25 0.23/0.55 # ...of these trivial : 1 0.23/0.55 # ...subsumed : 7 0.23/0.55 # ...remaining for further processing : 17 0.23/0.55 # Other redundant clauses eliminated : 2 0.23/0.55 # Clauses deleted for lack of memory : 0 0.23/0.55 # Backward-subsumed : 0 0.23/0.55 # Backward-rewritten : 1 0.23/0.55 # Generated clauses : 2 0.23/0.55 # ...of the previous two non-redundant : 2 0.23/0.55 # ...aggressively subsumed : 0 0.23/0.55 # Contextual simplify-reflections : 0 0.23/0.55 # Paramodulations : 0 0.23/0.55 # Factorizations : 0 0.23/0.55 # NegExts : 0 0.23/0.55 # Equation resolutions : 2 0.23/0.55 # Total rewrite steps : 2 0.23/0.55 # Propositional unsat checks : 0 0.23/0.55 # Propositional check models : 0 0.23/0.55 # Propositional check unsatisfiable : 0 0.23/0.55 # Propositional clauses : 0 0.23/0.55 # Propositional clauses after purity: 0 0.23/0.55 # Propositional unsat core size : 0 0.23/0.55 # Propositional preprocessing time : 0.000 0.23/0.55 # Propositional encoding time : 0.000 0.23/0.55 # Propositional solver time : 0.000 0.23/0.55 # Success case prop preproc time : 0.000 0.23/0.55 # Success case prop encoding time : 0.000 0.23/0.55 # Success case prop solver time : 0.000 0.23/0.55 # Current number of processed clauses : 14 0.23/0.55 # Positive orientable unit clauses : 9 0.23/0.55 # Positive unorientable unit clauses: 0 0.23/0.55 # Negative unit clauses : 2 0.23/0.55 # Non-unit-clauses : 3 0.23/0.55 # Current number of unprocessed clauses: 159 0.23/0.55 # ...number of literals in the above : 604 0.23/0.55 # Current number of archived formulas : 0 0.23/0.55 # Current number of archived clauses : 1 0.23/0.55 # Clause-clause subsumption calls (NU) : 4 0.23/0.55 # Rec. Clause-clause subsumption calls : 2 0.23/0.55 # Non-unit clause-clause subsumptions : 2 0.23/0.55 # Unit Clause-clause subsumption calls : 2 0.23/0.55 # Rewrite failures with RHS unbound : 0 0.23/0.55 # BW rewrite match attempts : 2 0.23/0.55 # BW rewrite match successes : 1 0.23/0.55 # Condensation attempts : 25 0.23/0.55 # Condensation successes : 0 0.23/0.55 # Termbank termtop insertions : 21171 0.23/0.55 0.23/0.55 # ------------------------------------------------- 0.23/0.55 # User time : 0.022 s 0.23/0.55 # System time : 0.011 s 0.23/0.55 # Total time : 0.032 s 0.23/0.55 # Maximum resident set size: 4364 pages 0.46/180.04 0.46/180.04 # ------------------------------------------------- 0.46/180.04 # User time : 0.027 s 0.46/180.04 # System time : 0.012 s 0.46/180.04 # Total time : 0.040 s 0.46/180.04 # Maximum resident set size: 1916 pages 0.46/180.04 % E---3.1 exiting 0.46/180.04 EOF