0.02/0.11 % Problem : Vampire---4.8_15195 : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : run_E %s %d THM 0.11/0.32 % Computer : n011.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1440 0.11/0.32 % WCLimit : 180 0.11/0.32 % DateTime : Mon Jul 3 13:02:09 EDT 2023 0.11/0.32 % CPUTime : 0.16/0.44 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.qraUgblvlh/Vampire---4.8_15195 0.16/0.44 # Version: 3.1pre001-ho 0.16/0.50 # Preprocessing class: HSMMSLSSLLLCHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.50 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.16/0.50 # Starting ehoh_best3_rw with 180s (1) cores 0.16/0.50 # Starting almost_fo_3 with 180s (1) cores 0.16/0.50 # Starting new_ho_13 with 180s (1) cores 0.16/0.50 # ehoh_best3_avoidappvar with pid 15373 completed with status 0 0.16/0.50 # Result found by ehoh_best3_avoidappvar 0.16/0.50 # Preprocessing class: HSMMSLSSLLLCHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.50 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.16/0.50 # No SInE strategy applied 0.16/0.50 # Search class: HGHSM-FSLM31-MHFMMSBN 0.16/0.50 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.50 # Starting new_ho_10_cnf2 with 487s (1) cores 0.16/0.50 # Starting ehoh_best3_avoidappvar with 91s (1) cores 0.16/0.50 # Starting ho_unfolding_7 with 82s (1) cores 0.16/0.50 # Starting lpo8_s with 82s (1) cores 0.16/0.50 # Starting almost_fo_3 with 82s (1) cores 0.16/0.50 # ehoh_best3_avoidappvar with pid 15379 completed with status 0 0.16/0.50 # Result found by ehoh_best3_avoidappvar 0.16/0.50 # Preprocessing class: HSMMSLSSLLLCHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.50 # Starting ehoh_best3_avoidappvar with 900s (5) cores 0.16/0.50 # No SInE strategy applied 0.16/0.50 # Search class: HGHSM-FSLM31-MHFMMSBN 0.16/0.50 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.50 # Starting new_ho_10_cnf2 with 487s (1) cores 0.16/0.50 # Starting ehoh_best3_avoidappvar with 91s (1) cores 0.16/0.50 # Preprocessing time : 0.005 s 0.16/0.50 # Presaturation interreduction done 0.16/0.50 0.16/0.50 # Proof found! 0.16/0.50 # SZS status Theorem 0.16/0.50 # SZS output start CNFRefutation 0.16/0.50 thf(decl_22, type, in: $i > $i > $o). 0.16/0.50 thf(decl_23, type, exu: ($i > $o) > $o). 0.16/0.50 thf(decl_24, type, setextAx: $o). 0.16/0.50 thf(decl_25, type, emptyset: $i). 0.16/0.50 thf(decl_26, type, emptysetAx: $o). 0.16/0.50 thf(decl_27, type, setadjoin: $i > $i > $i). 0.16/0.50 thf(decl_28, type, setadjoinAx: $o). 0.16/0.50 thf(decl_29, type, powerset: $i > $i). 0.16/0.50 thf(decl_30, type, powersetAx: $o). 0.16/0.50 thf(decl_31, type, setunion: $i > $i). 0.16/0.50 thf(decl_32, type, setunionAx: $o). 0.16/0.50 thf(decl_33, type, omega: $i). 0.16/0.50 thf(decl_34, type, omega0Ax: $o). 0.16/0.50 thf(decl_35, type, omegaSAx: $o). 0.16/0.50 thf(decl_36, type, omegaIndAx: $o). 0.16/0.50 thf(decl_37, type, replAx: $o). 0.16/0.50 thf(decl_38, type, foundationAx: $o). 0.16/0.50 thf(decl_39, type, wellorderingAx: $o). 0.16/0.50 thf(decl_40, type, descr: ($i > $o) > $i). 0.16/0.50 thf(decl_41, type, descrp: $o). 0.16/0.50 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_43, type, dsetconstrI: $o). 0.16/0.50 thf(decl_44, type, dsetconstrEL: $o). 0.16/0.50 thf(decl_45, type, dsetconstrER: $o). 0.16/0.50 thf(decl_46, type, exuE1: $o). 0.16/0.50 thf(decl_47, type, prop2set: $o > $i). 0.16/0.50 thf(decl_48, type, prop2setE: $o). 0.16/0.50 thf(decl_49, type, emptysetE: $o). 0.16/0.50 thf(decl_50, type, emptysetimpfalse: $o). 0.16/0.50 thf(decl_51, type, notinemptyset: $o). 0.16/0.50 thf(decl_52, type, exuE3e: $o). 0.16/0.50 thf(decl_53, type, setext: $o). 0.16/0.50 thf(decl_54, type, emptyI: $o). 0.16/0.50 thf(decl_55, type, noeltsimpempty: $o). 0.16/0.50 thf(decl_56, type, setbeta: $o). 0.16/0.50 thf(decl_57, type, nonempty: $i > $o). 0.16/0.50 thf(decl_58, type, nonemptyE1: $o). 0.16/0.50 thf(decl_59, type, nonemptyI: $o). 0.16/0.50 thf(decl_60, type, nonemptyI1: $o). 0.16/0.50 thf(decl_61, type, setadjoinIL: $o). 0.16/0.50 thf(decl_62, type, emptyinunitempty: $o). 0.16/0.50 thf(decl_63, type, setadjoinIR: $o). 0.16/0.50 thf(decl_64, type, setadjoinE: $o). 0.16/0.50 thf(decl_65, type, setadjoinOr: $o). 0.16/0.50 thf(decl_66, type, setoftrueEq: $o). 0.16/0.50 thf(decl_67, type, powersetI: $o). 0.16/0.50 thf(decl_68, type, emptyinPowerset: $o). 0.16/0.50 thf(decl_69, type, emptyInPowerset: $o). 0.16/0.50 thf(decl_70, type, powersetE: $o). 0.16/0.50 thf(decl_71, type, setunionI: $o). 0.16/0.50 thf(decl_72, type, setunionE: $o). 0.16/0.50 thf(decl_73, type, subPowSU: $o). 0.16/0.50 thf(decl_74, type, exuE2: $o). 0.16/0.50 thf(decl_75, type, nonemptyImpWitness: $o). 0.16/0.50 thf(decl_76, type, uniqinunit: $o). 0.16/0.50 thf(decl_77, type, notinsingleton: $o). 0.16/0.50 thf(decl_78, type, eqinunit: $o). 0.16/0.50 thf(decl_79, type, singletonsswitch: $o). 0.16/0.50 thf(decl_80, type, upairsetE: $o). 0.16/0.50 thf(decl_81, type, upairsetIL: $o). 0.16/0.50 thf(decl_82, type, upairsetIR: $o). 0.16/0.50 thf(decl_83, type, emptyE1: $o). 0.16/0.50 thf(decl_84, type, vacuousDall: $o). 0.16/0.50 thf(decl_85, type, quantDeMorgan1: $o). 0.16/0.50 thf(decl_86, type, quantDeMorgan2: $o). 0.16/0.50 thf(decl_87, type, quantDeMorgan3: $o). 0.16/0.50 thf(decl_88, type, quantDeMorgan4: $o). 0.16/0.50 thf(decl_89, type, prop2setI: $o). 0.16/0.50 thf(decl_90, type, set2prop: $i > $o). 0.16/0.50 thf(decl_91, type, prop2set2propI: $o). 0.16/0.50 thf(decl_92, type, notdexE: $o). 0.16/0.50 thf(decl_93, type, notdallE: $o). 0.16/0.50 thf(decl_94, type, exuI1: $o). 0.16/0.50 thf(decl_95, type, exuI3: $o). 0.16/0.50 thf(decl_96, type, exuI2: $o). 0.16/0.50 thf(decl_97, type, inCongP: $o). 0.16/0.50 thf(decl_98, type, in__Cong: $o). 0.16/0.50 thf(decl_99, type, exuE3u: $o). 0.16/0.50 thf(decl_100, type, exu__Cong: $o). 0.16/0.50 thf(decl_101, type, emptyset__Cong: $o). 0.16/0.50 thf(decl_102, type, setadjoin__Cong: $o). 0.16/0.50 thf(decl_103, type, powerset__Cong: $o). 0.16/0.50 thf(decl_104, type, setunion__Cong: $o). 0.16/0.50 thf(decl_105, type, omega__Cong: $o). 0.16/0.50 thf(decl_106, type, exuEu: $o). 0.16/0.50 thf(decl_107, type, descr__Cong: $o). 0.16/0.50 thf(decl_108, type, dsetconstr__Cong: $o). 0.16/0.50 thf(decl_109, type, subset: $i > $i > $o). 0.16/0.50 thf(decl_112, type, subsetI1: $o). 0.16/0.50 thf(decl_113, type, eqimpsubset2: $o). 0.16/0.50 thf(decl_114, type, eqimpsubset1: $o). 0.16/0.50 thf(decl_115, type, subsetI2: $o). 0.16/0.50 thf(decl_116, type, emptysetsubset: $o). 0.16/0.50 thf(decl_117, type, subsetE: $o). 0.16/0.50 thf(decl_118, type, subsetE2: $o). 0.16/0.50 thf(decl_119, type, notsubsetI: $o). 0.16/0.50 thf(decl_120, type, notequalI1: $o). 0.16/0.50 thf(decl_121, type, notequalI2: $o). 0.16/0.50 thf(decl_122, type, subsetRefl: $o). 0.16/0.50 thf(decl_123, type, subsetTrans: $o). 0.16/0.50 thf(decl_124, type, setadjoinSub: $o). 0.16/0.50 thf(decl_125, type, setadjoinSub2: $o). 0.16/0.50 thf(decl_126, type, subset2powerset: $o). 0.16/0.50 thf(decl_127, type, setextsub: $o). 0.16/0.50 thf(decl_128, type, subsetemptysetimpeq: $o). 0.16/0.50 thf(decl_129, type, powersetI1: $o). 0.16/0.50 thf(decl_130, type, powersetE1: $o). 0.16/0.50 thf(decl_131, type, inPowerset: $o). 0.16/0.50 thf(decl_132, type, powersetsubset: $o). 0.16/0.50 thf(decl_133, type, sepInPowerset: $o). 0.16/0.50 thf(decl_134, type, sepSubset: $o). 0.16/0.50 thf(decl_135, type, binunion: $i > $i > $i). 0.16/0.50 thf(decl_136, type, epred1_0: $o). 0.16/0.50 thf(decl_137, type, esk1_2: $i > $i > $i). 0.16/0.50 thf(decl_138, type, esk2_2: $i > $i > $i). 0.16/0.50 thf(decl_139, type, esk3_2: $i > $i > $i). 0.16/0.50 thf(decl_140, type, esk4_1: $i > $i). 0.16/0.50 thf(decl_141, type, esk5_2: ($i > $i > $o) > $i > $i). 0.16/0.50 thf(decl_142, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.16/0.50 thf(decl_143, type, esk7_2: ($i > $i > $o) > $i > $i). 0.16/0.50 thf(decl_144, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.16/0.50 thf(decl_145, type, esk9_1: $i > $i). 0.16/0.50 thf(decl_146, type, esk10_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_147, type, esk11_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_148, type, esk12_1: ($i > $o) > $i). 0.16/0.50 thf(decl_149, type, esk13_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_150, type, esk14_1: ($i > $o) > $i). 0.16/0.50 thf(decl_151, type, esk15_2: $i > $i > $i). 0.16/0.50 thf(decl_152, type, esk16_2: $i > $i > $i). 0.16/0.50 thf(decl_153, type, esk17_1: $i > $i). 0.16/0.50 thf(decl_154, type, esk18_1: $i > $i). 0.16/0.50 thf(decl_155, type, esk19_1: $i > $i). 0.16/0.50 thf(decl_156, type, esk20_2: $i > $i > $i). 0.16/0.50 thf(decl_157, type, esk21_3: $i > $i > $o > $i). 0.16/0.50 thf(decl_158, type, esk22_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_159, type, esk23_1: ($i > $o) > $i). 0.16/0.50 thf(decl_160, type, esk24_1: $i > $i). 0.16/0.50 thf(decl_161, type, esk25_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_162, type, esk26_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_163, type, esk27_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_164, type, esk28_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_165, type, esk29_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_166, type, esk30_2: $i > ($i > $o) > $i). 0.16/0.50 thf(decl_167, type, esk31_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_168, type, esk32_1: ($i > $o) > $i). 0.16/0.50 thf(decl_169, type, esk33_1: ($i > $o) > $i). 0.16/0.50 thf(decl_170, type, esk34_1: ($i > $o) > $i). 0.16/0.50 thf(decl_171, type, esk35_1: ($i > $o) > $i). 0.16/0.50 thf(decl_172, type, esk36_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_173, type, esk37_1: ($i > $o) > $i). 0.16/0.50 thf(decl_174, type, esk38_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_175, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_176, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_177, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.16/0.50 thf(decl_178, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_179, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.16/0.50 thf(decl_180, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_181, type, esk45_2: ($i > $o) > $i > $i). 0.16/0.50 thf(decl_182, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_183, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_184, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.16/0.50 thf(decl_185, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.16/0.50 thf(decl_186, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_187, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.16/0.50 thf(decl_188, type, esk52_2: $i > $i > $i). 0.16/0.50 thf(decl_189, type, esk53_2: $i > $i > $i). 0.16/0.50 thf(decl_190, type, esk54_0: $i). 0.16/0.50 thf(decl_191, type, esk55_0: $i). 0.16/0.50 thf(decl_192, type, esk56_0: $i). 0.16/0.50 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', replAx)). 0.16/0.50 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exu)). 0.16/0.50 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', descrp)). 0.16/0.50 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuE1)). 0.16/0.50 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuE3e)). 0.16/0.50 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', nonempty)). 0.16/0.50 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', nonemptyI)). 0.16/0.50 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuE2)). 0.16/0.50 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.qraUgblvlh/Vampire---4.8_15195', exuI1)). 0.16/0.50 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuI3)). 0.16/0.50 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuI2)). 0.16/0.50 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.qraUgblvlh/Vampire---4.8_15195', exuE3u)). 0.16/0.50 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exu__Cong)). 0.16/0.50 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', exuEu)). 0.16/0.50 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', descr__Cong)). 0.16/0.50 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', dsetconstrI)). 0.16/0.50 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', dsetconstrEL)). 0.16/0.50 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', dsetconstrER)). 0.16/0.50 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setbeta)). 0.16/0.50 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', nonemptyE1)). 0.16/0.50 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', nonemptyI1)). 0.16/0.50 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setoftrueEq)). 0.16/0.50 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', nonemptyImpWitness)). 0.16/0.50 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.qraUgblvlh/Vampire---4.8_15195', emptyE1)). 0.16/0.50 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', dsetconstr__Cong)). 0.16/0.50 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', sepInPowerset)). 0.16/0.50 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', sepSubset)). 0.16/0.50 thf(binunionIL, conjecture, (((emptysetAx)=>(((((((omegaIndAx)=>(((foundationAx)=>(((((dsetconstrEL)=>((dsetconstrER)=>(((prop2setE)=>(((emptysetimpfalse)=>((((((noeltsimpempty)=>((((((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>(((powersetI)=>(((emptyInPowerset)=>((((setunionE)=>(((exuE2)=>((nonemptyImpWitness)=>(((notinsingleton)=>(((((((emptyE1)=>((((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((((notdallE)=>(((exuI3)=>((((((((setadjoin__Cong)=>(((setunion__Cong)=>(((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>(((((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>(((sepSubset)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))<=(in @ X2 @ X4))))<=(sepInPowerset)))))))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))<=(notequalI1))))))<=(subsetI2))<=(eqimpsubset1)))))<=(descr__Cong)))<=(omega__Cong)))<=(powerset__Cong)))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1)))<=(notdexE))<=(prop2set2propI))))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch))<=(eqinunit)))<=(uniqinunit))))<=(subPowSU)))<=(setunionI))<=(powersetE)))<=(emptyinPowerset)))<=(setoftrueEq))))<=(setadjoinIR))))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext))<=(exuE3e))<=(notinemptyset)))<=(emptysetE)))<=(exuE1))))<=(dsetconstrI))<=(descrp))<=(wellorderingAx)))<=(replAx)))<=(omegaSAx))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', binunionIL)). 0.16/0.50 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setextAx)). 0.16/0.50 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptysetAx)). 0.16/0.50 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinAx)). 0.16/0.50 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetAx)). 0.16/0.50 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setunionAx)). 0.16/0.50 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', omega0Ax)). 0.16/0.50 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', omegaSAx)). 0.16/0.50 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.qraUgblvlh/Vampire---4.8_15195', omegaIndAx)). 0.16/0.50 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.qraUgblvlh/Vampire---4.8_15195', foundationAx)). 0.16/0.50 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', wellorderingAx)). 0.16/0.50 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', prop2setE)). 0.16/0.50 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptysetE)). 0.16/0.50 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptysetimpfalse)). 0.16/0.50 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notinemptyset)). 0.16/0.50 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.qraUgblvlh/Vampire---4.8_15195', setext)). 0.16/0.50 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptyI)). 0.16/0.50 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', noeltsimpempty)). 0.16/0.50 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinIL)). 0.16/0.50 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptyinunitempty)). 0.16/0.50 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinIR)). 0.16/0.50 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinE)). 0.16/0.50 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinOr)). 0.16/0.50 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetI)). 0.16/0.50 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptyinPowerset)). 0.16/0.50 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptyInPowerset)). 0.16/0.50 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetE)). 0.16/0.50 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setunionI)). 0.16/0.50 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setunionE)). 0.16/0.50 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subPowSU)). 0.16/0.50 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', uniqinunit)). 0.16/0.50 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notinsingleton)). 0.16/0.50 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', eqinunit)). 0.16/0.50 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', singletonsswitch)). 0.16/0.50 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', upairsetE)). 0.16/0.50 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', upairsetIL)). 0.16/0.50 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', upairsetIR)). 0.16/0.50 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', vacuousDall)). 0.16/0.50 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', quantDeMorgan1)). 0.16/0.50 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', quantDeMorgan2)). 0.16/0.50 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', quantDeMorgan3)). 0.16/0.50 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', quantDeMorgan4)). 0.16/0.50 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', prop2setI)). 0.16/0.50 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', prop2set2propI)). 0.16/0.50 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notdexE)). 0.16/0.50 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notdallE)). 0.16/0.50 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', inCongP)). 0.16/0.50 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', in__Cong)). 0.16/0.50 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptyset__Cong)). 0.16/0.50 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoin__Cong)). 0.16/0.50 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powerset__Cong)). 0.16/0.50 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setunion__Cong)). 0.16/0.50 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', omega__Cong)). 0.16/0.50 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetI1)). 0.16/0.50 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', eqimpsubset2)). 0.16/0.50 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', eqimpsubset1)). 0.16/0.50 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetI2)). 0.16/0.50 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', emptysetsubset)). 0.16/0.50 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetE)). 0.16/0.50 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetE2)). 0.16/0.50 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notsubsetI)). 0.16/0.50 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notequalI1)). 0.16/0.50 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', notequalI2)). 0.16/0.50 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetRefl)). 0.16/0.50 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetTrans)). 0.16/0.50 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinSub)). 0.16/0.50 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setadjoinSub2)). 0.16/0.50 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subset2powerset)). 0.16/0.50 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', setextsub)). 0.16/0.50 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', subsetemptysetimpeq)). 0.16/0.50 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetI1)). 0.16/0.50 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetE1)). 0.16/0.50 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', inPowerset)). 0.16/0.50 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', powersetsubset)). 0.16/0.50 thf(binunion, axiom, ((binunion)=(^[X2:$i, X3:$i]:(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qraUgblvlh/Vampire---4.8_15195', binunion)). 0.16/0.50 thf(c_0_102, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.16/0.50 thf(c_0_103, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.16/0.50 thf(c_0_104, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.16/0.50 thf(c_0_105, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.16/0.50 thf(c_0_106, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.16/0.50 thf(c_0_107, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.16/0.50 thf(c_0_108, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.16/0.50 thf(c_0_109, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.16/0.50 thf(c_0_110, 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])). 0.16/0.50 thf(c_0_111, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.16/0.50 thf(c_0_112, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.16/0.50 thf(c_0_113, 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])). 0.16/0.50 thf(c_0_114, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.16/0.50 thf(c_0_115, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.16/0.50 thf(c_0_116, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.16/0.50 thf(c_0_117, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X284:$i]:((((X6 @ X2 @ X284))&![X285:$i]:((((X6 @ X2 @ X285))=>((X284)=(X285)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_103])). 0.16/0.50 thf(c_0_118, plain, ((descrp)=(![X1:$i > $o]:(((?[X286:$i]:((((X1 @ X286))&![X287:$i]:((((X1 @ X287))=>((X286)=(X287)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_103])). 0.16/0.50 thf(c_0_119, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.16/0.50 thf(c_0_120, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.16/0.50 thf(c_0_121, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.16/0.50 thf(c_0_122, plain, ((exuE1)=(![X1:$i > $o]:(((?[X288:$i]:((((X1 @ X288))&![X289:$i]:((((X1 @ X289))=>((X288)=(X289)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_103])). 0.16/0.50 thf(c_0_123, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X290:$i]:((((X1 @ X290))&![X291:$i]:((((X1 @ X291))=>((X290)=(X291)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_106, c_0_103])). 0.16/0.50 thf(c_0_124, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.16/0.50 thf(c_0_125, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_107])). 0.16/0.50 thf(c_0_126, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_107])). 0.16/0.50 thf(c_0_127, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_107])). 0.16/0.50 thf(c_0_128, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.16/0.50 thf(c_0_129, plain, ((exuE2)=(![X1:$i > $o]:(((?[X292:$i]:((((X1 @ X292))&![X293:$i]:((((X1 @ X293))=>((X292)=(X293)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_103])). 0.16/0.50 thf(c_0_130, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_107])). 0.16/0.50 thf(c_0_131, 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])). 0.16/0.50 thf(c_0_132, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X294:$i]:((((X1 @ X294))&![X295:$i]:((((X1 @ X295))=>((X294)=(X295))))))))))), inference(apply_def,[status(thm)],[c_0_110, c_0_103])). 0.16/0.50 thf(c_0_133, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X296:$i]:((((X1 @ X296))&![X297:$i]:((((X1 @ X297))=>((X296)=(X297)))))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_103])). 0.16/0.50 thf(c_0_134, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X298:$i]:((((X1 @ X298))&![X299:$i]:((((X1 @ X299))=>((X298)=(X299))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_103])). 0.16/0.50 thf(c_0_135, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X300:$i]:((((X1 @ X300))&![X301:$i]:((((X1 @ X301))=>((X300)=(X301)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_103])). 0.16/0.50 thf(c_0_136, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X302:$i]:((((X1 @ X302))&![X303:$i]:((((X1 @ X303))=>((X302)=(X303)))))))<=>(?[X304:$i]:((((X17 @ X304))&![X305:$i]:((((X17 @ X305))=>((X304)=(X305)))))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_103])). 0.16/0.50 thf(c_0_137, plain, ((exuEu)=(![X1:$i > $o]:(((?[X306:$i]:((((X1 @ X306))&![X307:$i]:((((X1 @ X307))=>((X306)=(X307)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_103])). 0.16/0.50 thf(c_0_138, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X308:$i]:((((X1 @ X308))&![X309:$i]:((((X1 @ X309))=>((X308)=(X309)))))))=>((?[X310:$i]:((((X17 @ X310))&![X311:$i]:((((X17 @ X311))=>((X310)=(X311)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_103])). 0.16/0.50 thf(c_0_139, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.16/0.50 thf(c_0_140, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.16/0.50 thf(c_0_141, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.16/0.50 thf(c_0_142, plain, ((epred1_0)<=>![X562:$i]:(?[X563:$i]:((((![X564:$i]:(((in @ X564 @ X563)=>![X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ X562)))))&![X566:$i, X567:$i]:((((in @ X566 @ X562)&(in @ X567 @ X562))=>(![X568:$i]:(((in @ X568 @ X563)=>((in @ X566 @ X568)<=>(in @ X567 @ X568))))=>((X566)=(X567))))))&![X569:$i, X570:$i]:((((in @ X569 @ X563)&(in @ X570 @ X563))=>(![X571:$i]:(((in @ X571 @ X569)=>(in @ X571 @ X570)))|![X572:$i]:(((in @ X572 @ X570)=>(in @ X572 @ X569)))))))&![X573:$i]:(((![X574:$i]:(((in @ X574 @ X573)=>(in @ X574 @ X562)))&?[X575:$i]:((in @ X575 @ X573)))=>?[X576:$i, X577:$i]:(((((in @ X576 @ X563)&(in @ X577 @ X573))&~(?[X578:$i]:(((in @ X578 @ X576)&(in @ X578 @ X573)))))&![X579:$i]:(((in @ X579 @ X563)=>(![X580:$i]:(((in @ X580 @ X579)=>(in @ X580 @ X576)))|(in @ X577 @ X579)))))))))))), introduced(definition)). 0.16/0.50 thf(c_0_143, negated_conjecture, ~((![X599:$i, X600:$i]:((![X601:$i]:(((in @ X601 @ X599)<=>(in @ X601 @ X600)))=>((X599)=(X600))))=>(![X312:$i]:(~(in @ X312 @ emptyset))=>(![X596:$i, X597:$i, X598:$i]:(((in @ X598 @ (setadjoin @ X596 @ X597))<=>(((X598)=(X596))|(in @ X598 @ X597))))=>(![X593:$i, X594:$i]:(((in @ X594 @ (powerset @ X593))<=>![X595:$i]:(((in @ X595 @ X594)=>(in @ X595 @ X593)))))=>(![X590:$i, X591:$i]:(((in @ X591 @ (setunion @ X590))<=>?[X592:$i]:(((in @ X591 @ X592)&(in @ X592 @ X590)))))=>((in @ emptyset @ omega)=>(![X589:$i]:(((in @ X589 @ omega)=>(in @ (setadjoin @ X589 @ X589) @ omega)))=>(![X313:$i]:((((in @ emptyset @ X313)&![X314:$i]:((((in @ X314 @ omega)&(in @ X314 @ X313))=>(in @ (setadjoin @ X314 @ X314) @ X313))))=>![X315:$i]:(((in @ X315 @ omega)=>(in @ X315 @ X313)))))=>(![X581:$i > $i > $o, X582:$i]:((![X583:$i]:(((in @ X583 @ X582)=>?[X584:$i]:(((X581 @ X583 @ X584)&![X585:$i]:(((X581 @ X583 @ X585)=>((X584)=(X585))))))))=>?[X586:$i]:(![X587:$i]:(((in @ X587 @ X586)<=>?[X588:$i]:(((in @ X588 @ X582)&(X581 @ X588 @ X587))))))))=>(![X316:$i]:((?[X317:$i]:((in @ X317 @ X316))=>?[X318:$i]:(((in @ X318 @ X316)&~(?[X319:$i]:(((in @ X319 @ X318)&(in @ X319 @ X316))))))))=>((epred1_0)=>(![X559:$i > $o]:((?[X560:$i]:(((X559 @ X560)&![X561:$i]:(((X559 @ X561)=>((X560)=(X561))))))=>(X559 @ (descr @ (^[Z0/* 3 */:$i]:((X559 @ Z0)))))))=>(![X556:$i, X557:$i > $o, X558:$i]:(((in @ X558 @ X556)=>((X557 @ X558)=>(in @ X558 @ (dsetconstr @ X556 @ (^[Z0/* 3 */:$i]:((X557 @ Z0))))))))=>(![X320:$i, X321:$i > $o, X322:$i]:(((in @ X322 @ (dsetconstr @ X320 @ (^[Z0/* 3 */:$i]:((X321 @ Z0)))))=>(in @ X322 @ X320)))=>(![X323:$i, X324:$i > $o, X325:$i]:(((in @ X325 @ (dsetconstr @ X323 @ (^[Z0/* 3 */:$i]:((X324 @ Z0)))))=>(X324 @ X325)))=>(![X551:$i > $o]:((?[X552:$i]:(((X551 @ X552)&![X553:$i]:(((X551 @ X553)=>((X552)=(X553))))))=>?[X554:$i]:(((X551 @ X554)&![X555:$i]:(((X551 @ X555)=>((X554)=(X555))))))))=>(![X326:$o, X327:$i]:(((in @ X327 @ (prop2set @ ((X326))))=>(X326)))=>(![X549:$i]:(((in @ X549 @ emptyset)=>![X550:$o]:((X550))))=>(![X328:$i]:(~(in @ X328 @ emptyset))=>(![X548:$i]:(~(in @ X548 @ emptyset))=>(![X544:$i > $o]:((?[X545:$i]:(((X544 @ X545)&![X546:$i]:(((X544 @ X546)=>((X545)=(X546))))))=>?[X547:$i]:((X544 @ X547))))=>(![X540:$i, X541:$i]:((![X542:$i]:(((in @ X542 @ X540)=>(in @ X542 @ X541)))=>(![X543:$i]:(((in @ X543 @ X541)=>(in @ X543 @ X540)))=>((X540)=(X541)))))=>(![X538:$i]:((![X539:$i]:(~(in @ X539 @ X538))=>((X538)=(emptyset))))=>(![X329:$i]:((![X330:$i]:(~(in @ X330 @ X329))=>((X329)=(emptyset))))=>(![X535:$i, X536:$i > $o, X537:$i]:(((in @ X537 @ X535)=>((in @ X537 @ (dsetconstr @ X535 @ (^[Z0/* 3 */:$i]:((X536 @ Z0)))))<=>(X536 @ X537))))=>(![X533:$i]:((((X533)!=(emptyset))=>?[X534:$i]:((in @ X534 @ X533))))=>(![X530:$i, X531:$i > $o, X532:$i]:(((in @ X532 @ X530)=>((X531 @ X532)=>((dsetconstr @ X530 @ (^[Z0/* 3 */:$i]:((X531 @ Z0))))!=(emptyset)))))=>(![X528:$i]:((?[X529:$i]:((in @ X529 @ X528))=>((X528)!=(emptyset))))=>(![X331:$i, X332:$i]:((in @ X331 @ (setadjoin @ X331 @ X332)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X525:$i, X526:$i, X527:$i]:(((in @ X527 @ X526)=>(in @ X527 @ (setadjoin @ X525 @ X526))))=>(![X333:$i, X334:$i, X335:$i]:(((in @ X335 @ (setadjoin @ X333 @ X334))=>![X336:$o]:(((((X335)=(X333))=>(X336))=>(((in @ X335 @ X334)=>(X336))=>(X336))))))=>(![X337:$i, X338:$i, X339:$i]:(((in @ X339 @ (setadjoin @ X337 @ X338))=>(((X339)=(X337))|(in @ X339 @ X338))))=>(![X524:$i]:(((dsetconstr @ X524 @ (^[Z0/* 3 */:$i]:(($true))))=(X524)))=>(![X340:$i, X341:$i]:((![X342:$i]:(((in @ X342 @ X341)=>(in @ X342 @ X340)))=>(in @ X341 @ (powerset @ X340))))=>(![X523:$i]:((in @ emptyset @ (powerset @ X523)))=>(![X343:$i]:((in @ emptyset @ (powerset @ X343)))=>(![X520:$i, X521:$i, X522:$i]:(((in @ X521 @ (powerset @ X520))=>((in @ X522 @ X521)=>(in @ X522 @ X520))))=>(![X517:$i, X518:$i, X519:$i]:(((in @ X518 @ X519)=>((in @ X519 @ X517)=>(in @ X518 @ (setunion @ X517)))))=>(![X344:$i, X345:$i]:(((in @ X345 @ (setunion @ X344))=>![X346:$o]:((![X347:$i]:(((in @ X345 @ X347)=>((in @ X347 @ X344)=>(X346))))=>(X346)))))=>(![X515:$i, X516:$i]:(((in @ X516 @ X515)=>(in @ X516 @ (powerset @ (setunion @ X515)))))=>(![X348:$i > $o]:((?[X349:$i]:(((X348 @ X349)&![X350:$i]:(((X348 @ X350)=>((X349)=(X350))))))=>?[X351:$i]:(![X352:$i]:(((X348 @ X352)<=>((X352)=(X351)))))))=>(![X353:$i]:((((X353)!=(emptyset))=>?[X354:$i]:((in @ X354 @ X353))))=>(![X513:$i, X514:$i]:(((in @ X513 @ (setadjoin @ X514 @ emptyset))=>((X513)=(X514))))=>(![X355:$i, X356:$i]:((((X355)!=(X356))=>~(in @ X356 @ (setadjoin @ X355 @ emptyset))))=>(![X511:$i, X512:$i]:((((X511)=(X512))=>(in @ X511 @ (setadjoin @ X512 @ emptyset))))=>(![X509:$i, X510:$i]:(((in @ X509 @ (setadjoin @ X510 @ emptyset))=>(in @ X510 @ (setadjoin @ X509 @ emptyset))))=>(![X506:$i, X507:$i, X508:$i]:(((in @ X508 @ (setadjoin @ X506 @ (setadjoin @ X507 @ emptyset)))=>(((X508)=(X506))|((X508)=(X507)))))=>(![X504:$i, X505:$i]:((in @ X504 @ (setadjoin @ X504 @ (setadjoin @ X505 @ emptyset))))=>(![X502:$i, X503:$i]:((in @ X503 @ (setadjoin @ X502 @ (setadjoin @ X503 @ emptyset))))=>(![X357:$i, X358:$i > $o]:((?[X359:$i]:(((in @ X359 @ X357)&(X358 @ X359)))=>((dsetconstr @ X357 @ (^[Z0/* 3 */:$i]:((X358 @ Z0))))!=(emptyset))))=>(![X500:$i > $o, X501:$i]:(((in @ X501 @ emptyset)=>(X500 @ X501)))=>(![X496:$i, X497:$i > $o]:((~(![X498:$i]:(((in @ X498 @ X496)=>(X497 @ X498))))=>?[X499:$i]:(((in @ X499 @ X496)&~(X497 @ X499)))))=>(![X360:$i, X361:$i > $o]:((![X362:$i]:(((in @ X362 @ X360)=>~(X361 @ X362)))=>~(?[X363:$i]:(((in @ X363 @ X360)&(X361 @ X363))))))=>(![X492:$i, X493:$i > $o]:((~(?[X494:$i]:(((in @ X494 @ X492)&(X493 @ X494))))=>![X495:$i]:(((in @ X495 @ X492)=>~(X493 @ X495)))))=>(![X364:$i, X365:$i > $o]:((?[X366:$i]:(((in @ X366 @ X364)&~(X365 @ X366)))=>~(![X367:$i]:(((in @ X367 @ X364)=>(X365 @ X367))))))=>(![X368:$o]:(((X368)=>(in @ emptyset @ (prop2set @ ((X368))))))=>(![X491:$o]:(((X491)=>(set2prop @ (prop2set @ ((X491))))))=>(![X487:$i, X488:$i > $o]:((~(?[X489:$i]:(((in @ X489 @ X487)&(X488 @ X489))))=>![X490:$i]:(((in @ X490 @ X487)=>~(X488 @ X490)))))=>(![X369:$i, X370:$i > $o]:((~(![X371:$i]:(((in @ X371 @ X369)=>(X370 @ X371))))=>?[X372:$i]:(((in @ X372 @ X369)&~(X370 @ X372)))))=>(![X482:$i > $o]:((?[X483:$i]:(((X482 @ X483)&![X484:$i]:(((X482 @ X484)=>((X483)=(X484))))))=>?[X485:$i]:(((X482 @ X485)&![X486:$i]:(((X482 @ X486)=>((X485)=(X486))))))))=>(![X373:$i > $o]:((?[X374:$i]:((X373 @ X374))=>(![X375:$i, X376:$i]:(((X373 @ X375)=>((X373 @ X376)=>((X375)=(X376)))))=>?[X377:$i]:(((X373 @ X377)&![X378:$i]:(((X373 @ X378)=>((X377)=(X378)))))))))=>(![X477:$i > $o]:((?[X478:$i]:(![X479:$i]:(((X477 @ X479)<=>((X479)=(X478)))))=>?[X480:$i]:(((X477 @ X480)&![X481:$i]:(((X477 @ X481)=>((X480)=(X481))))))))=>(![X473:$i, X474:$i]:((((X473)=(X474))=>![X475:$i, X476:$i]:((((X475)=(X476))=>((in @ X475 @ X473)=>(in @ X476 @ X474))))))=>(![X469:$i, X470:$i]:((((X469)=(X470))=>![X471:$i, X472:$i]:((((X471)=(X472))=>((in @ X471 @ X469)<=>(in @ X472 @ X470))))))=>(![X464:$i > $o]:((?[X465:$i]:(((X464 @ X465)&![X466:$i]:(((X464 @ X466)=>((X465)=(X466))))))=>![X467:$i, X468:$i]:(((X464 @ X467)=>((X464 @ X468)=>((X467)=(X468)))))))=>(![X456:$i > $o, X457:$i > $o]:((![X458:$i, X459:$i]:((((X458)=(X459))=>((X456 @ X458)<=>(X457 @ X459))))=>(?[X460:$i]:(((X456 @ X460)&![X461:$i]:(((X456 @ X461)=>((X460)=(X461))))))<=>?[X462:$i]:(((X457 @ X462)&![X463:$i]:(((X457 @ X463)=>((X462)=(X463)))))))))=>(((emptyset)=(emptyset))=>(![X379:$i, X380:$i]:((((X379)=(X380))=>![X381:$i, X382:$i]:((((X381)=(X382))=>((setadjoin @ X379 @ X381)=(setadjoin @ X380 @ X382))))))=>(![X454:$i, X455:$i]:((((X454)=(X455))=>((powerset @ X454)=(powerset @ X455))))=>(![X383:$i, X384:$i]:((((X383)=(X384))=>((setunion @ X383)=(setunion @ X384))))=>(((omega)=(omega))=>(![X385:$i > $o]:((?[X386:$i]:(((X385 @ X386)&![X387:$i]:(((X385 @ X387)=>((X386)=(X387))))))=>![X388:$i, X389:$i]:(((X385 @ X388)=>((X385 @ X389)=>((X388)=(X389)))))))=>(![X446:$i > $o, X447:$i > $o]:((![X448:$i, X449:$i]:((((X448)=(X449))=>((X446 @ X448)<=>(X447 @ X449))))=>(?[X450:$i]:(((X446 @ X450)&![X451:$i]:(((X446 @ X451)=>((X450)=(X451))))))=>(?[X452:$i]:(((X447 @ X452)&![X453:$i]:(((X447 @ X453)=>((X452)=(X453))))))=>((descr @ (^[Z0/* 3 */:$i]:((X446 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X447 @ Z0)))))))))=>(![X390:$i, X391:$i]:((((X390)=(X391))=>![X392:$i > $o, X393:$i > $o]:((![X394:$i]:(((in @ X394 @ X390)=>![X395:$i]:(((in @ X395 @ X391)=>(((X394)=(X395))=>((X392 @ X394)<=>(X393 @ X395)))))))=>((dsetconstr @ X390 @ (^[Z0/* 3 */:$i]:((X392 @ Z0))))=(dsetconstr @ X391 @ (^[Z0/* 3 */:$i]:((X393 @ Z0)))))))))=>(![X396:$i, X397:$i]:((![X398:$i]:(((in @ X398 @ X396)=>(in @ X398 @ X397)))=>(subset @ X396 @ X397)))=>(![X399:$i, X400:$i]:((((X399)=(X400))=>(subset @ X400 @ X399)))=>(![X444:$i, X445:$i]:((((X444)=(X445))=>(subset @ X444 @ X445)))=>(![X441:$i, X442:$i]:((![X443:$i]:(((in @ X443 @ X441)=>(in @ X443 @ X442)))=>(subset @ X441 @ X442)))=>(![X401:$i]:((subset @ emptyset @ X401))=>(![X402:$i, X403:$i, X404:$i]:(((subset @ X402 @ X403)=>((in @ X404 @ X402)=>(in @ X404 @ X403))))=>(![X405:$i, X406:$i, X407:$i]:(((subset @ X405 @ X406)=>(~(in @ X407 @ X406)=>~(in @ X407 @ X405))))=>(![X408:$i, X409:$i, X410:$i]:(((in @ X410 @ X408)=>(~(in @ X410 @ X409)=>~(subset @ X408 @ X409))))=>(![X439:$i, X440:$i]:((~(subset @ X439 @ X440)=>((X439)!=(X440))))=>(![X436:$i, X437:$i, X438:$i]:(((in @ X438 @ X436)=>(~(in @ X438 @ X437)=>((X436)!=(X437)))))=>(![X411:$i]:((subset @ X411 @ X411))=>(![X433:$i, X434:$i, X435:$i]:(((subset @ X433 @ X434)=>((subset @ X434 @ X435)=>(subset @ X433 @ X435))))=>(![X412:$i, X413:$i]:((subset @ X413 @ (setadjoin @ X412 @ X413)))=>(![X430:$i, X431:$i, X432:$i]:(((subset @ X430 @ X432)=>(subset @ X430 @ (setadjoin @ X431 @ X432))))=>(![X428:$i, X429:$i]:(((subset @ X428 @ X429)=>(in @ X428 @ (powerset @ X429))))=>(![X426:$i, X427:$i]:(((subset @ X426 @ X427)=>((subset @ X427 @ X426)=>((X426)=(X427)))))=>(![X414:$i]:(((subset @ X414 @ emptyset)=>((X414)=(emptyset))))=>(![X415:$i, X416:$i]:(((subset @ X416 @ X415)=>(in @ X416 @ (powerset @ X415))))=>(![X417:$i, X418:$i]:(((in @ X418 @ (powerset @ X417))=>(subset @ X418 @ X417)))=>(![X419:$i]:((in @ X419 @ (powerset @ X419)))=>(![X420:$i, X421:$i]:(((subset @ X420 @ X421)=>(subset @ (powerset @ X420) @ (powerset @ X421))))=>(![X424:$i, X425:$i > $o]:((in @ (dsetconstr @ X424 @ (^[Z0/* 3 */:$i]:((X425 @ Z0)))) @ (powerset @ X424)))=>(![X422:$i, X423:$i > $o]:((subset @ (dsetconstr @ X422 @ (^[Z0/* 3 */:$i]:((X423 @ Z0)))) @ X422))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[binunionIL]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_117]), foundationAx]), wellorderingAx]), c_0_118]), c_0_119]), c_0_120]), c_0_121]), c_0_122]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_123]), setext]), emptyI]), noeltsimpempty]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_128]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_129]), c_0_130]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_131]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_132]), c_0_133]), c_0_134]), inCongP]), in__Cong]), c_0_135]), c_0_136]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_137]), c_0_138]), c_0_139]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_140]), c_0_141])]), c_0_142])). 0.16/0.50 thf(c_0_144, negated_conjecture, ![X606:$i, X607:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X619:$i, X620:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X628:$i, X629:$i > $i > $o, X630:$i, X632:$i, X635:$i, X637:$i, X638:$i, X639:$i, X640:$i, X642:$i, X643:$i > $o, X644:$i, X646:$i, X647:$i > $o, X648:$i, X649:$i, X650:$i > $o, X651:$i, X652:$i, X653:$i > $o, X654:$i, X655:$i > $o, X656:$i, X659:$i, X660:$o, X661:$i, X662:$i, X663:$o, X664:$i, X665:$i, X666:$i > $o, X667:$i, X670:$i, X671:$i, X674:$i, X676:$i, X678:$i, X679:$i > $o, X680:$i, X681:$i, X683:$i, X684:$i > $o, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$o, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$o, X716:$i, X717:$i, X718:$i > $o, X719:$i, X722:$i, X723:$i, X724:$i, X726:$i, X727:$i, X728:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i > $o, X743:$i, X744:$i > $o, X745:$i, X746:$i, X747:$i > $o, X748:$i, X750:$i, X751:$i > $o, X753:$i, X754:$i, X755:$i > $o, X757:$i, X758:$i, X759:$i > $o, X760:$i, X762:$o, X763:$o, X764:$i, X765:$i > $o, X767:$i, X768:$i, X769:$i > $o, X770:$i, X772:$i > $o, X773:$i, X776:$i, X777:$i > $o, X778:$i, X782:$i, X783:$i > $o, X784:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i > $o, X797:$i, X799:$i, X800:$i, X801:$i > $o, X802:$i > $o, X805:$i, X808:$i, X809:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i > $o, X822:$i, X824:$i, X825:$i, X826:$i > $o, X827:$i > $o, X830:$i, X832:$i, X834:$i, X835:$i, X836:$i > $o, X837:$i > $o, X840:$i, X841:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i > $o, X888:$i, X889:$i > $o]:((((~(in @ (esk1_2 @ X606 @ X607) @ X606)|~(in @ (esk1_2 @ X606 @ X607) @ X607)|((X606)=(X607)))&((in @ (esk1_2 @ X606 @ X607) @ X606)|(in @ (esk1_2 @ X606 @ X607) @ X607)|((X606)=(X607))))&(~(in @ X609 @ emptyset)&(((~(in @ X612 @ (setadjoin @ X610 @ X611))|(((X612)=(X610))|(in @ X612 @ X611)))&((((X612)!=(X610))|(in @ X612 @ (setadjoin @ X610 @ X611)))&(~(in @ X612 @ X611)|(in @ X612 @ (setadjoin @ X610 @ X611)))))&(((~(in @ X614 @ (powerset @ X613))|(~(in @ X615 @ X614)|(in @ X615 @ X613)))&(((in @ (esk2_2 @ X616 @ X617) @ X617)|(in @ X617 @ (powerset @ X616)))&(~(in @ (esk2_2 @ X616 @ X617) @ X616)|(in @ X617 @ (powerset @ X616)))))&(((((in @ X620 @ (esk3_2 @ X619 @ X620))|~(in @ X620 @ (setunion @ X619)))&((in @ (esk3_2 @ X619 @ X620) @ X619)|~(in @ X620 @ (setunion @ X619))))&(~(in @ X623 @ X624)|~(in @ X624 @ X622)|(in @ X623 @ (setunion @ X622))))&((in @ emptyset @ omega)&((~(in @ X625 @ omega)|(in @ (setadjoin @ X625 @ X625) @ omega))&(((((in @ (esk4_1 @ X626) @ omega)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626)))&((in @ (esk4_1 @ X626) @ X626)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626))))&(~(in @ (setadjoin @ (esk4_1 @ X626) @ (esk4_1 @ X626)) @ X626)|~(in @ emptyset @ X626)|(~(in @ X628 @ omega)|(in @ X628 @ X626))))&((((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630))&((X629 @ (esk8_3 @ X629 @ X630 @ X635) @ X635)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630)))&(~(in @ X638 @ X630)|~(X629 @ X638 @ X637)|(in @ X637 @ (esk7_2 @ X629 @ X630))|(in @ (esk5_2 @ X629 @ X630) @ X630)))&(((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632)))&((X629 @ (esk8_3 @ X629 @ X630 @ X635) @ X635)|~(in @ X635 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))&(~(in @ X638 @ X630)|~(X629 @ X638 @ X637)|(in @ X637 @ (esk7_2 @ X629 @ X630))|((X629 @ (esk5_2 @ X629 @ X630) @ (esk6_3 @ X629 @ X630 @ X632))|~(X629 @ (esk5_2 @ X629 @ X630) @ X632))))&((((in @ (esk8_3 @ X629 @ X630 @ X635) @ X630)|~(in @ X635 @ (esk7_2 @ X629 @ 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X719)))&(((X723)!=(esk23_1 @ X718))|(X718 @ X723)|((X718 @ (esk22_2 @ X718 @ X719))|~(X718 @ X719))))&((~(X718 @ X722)|((X722)=(esk23_1 @ X718))|(((X719)!=(esk22_2 @ X718 @ X719))|~(X718 @ X719)))&(((X723)!=(esk23_1 @ X718))|(X718 @ X723)|(((X719)!=(esk22_2 @ X718 @ X719))|~(X718 @ X719)))))&((((X724)=(emptyset))|(in @ (esk24_1 @ X724) @ X724))&((~(in @ X726 @ (setadjoin @ X727 @ emptyset))|((X726)=(X727)))&((((X728)=(X729))|~(in @ X729 @ (setadjoin @ X728 @ emptyset)))&((((X730)!=(X731))|(in @ X730 @ (setadjoin @ X731 @ emptyset)))&((~(in @ X732 @ (setadjoin @ X733 @ emptyset))|(in @ X733 @ (setadjoin @ X732 @ emptyset)))&((~(in @ X736 @ (setadjoin @ X734 @ (setadjoin @ X735 @ emptyset)))|(((X736)=(X734))|((X736)=(X735))))&((in @ X737 @ (setadjoin @ X737 @ (setadjoin @ X738 @ emptyset)))&((in @ X740 @ (setadjoin @ X739 @ (setadjoin @ X740 @ emptyset)))&((~(in @ X743 @ X741)|~(X742 @ X743)|((dsetconstr @ X741 @ (^[Z0/* 3 */:$i]:((X742 @ Z0))))!=(emptyset)))&((~(in @ X745 @ 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(esk44_2 @ X801 @ X802))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|(~(X801 @ (esk39_2 @ X801 @ X802))|~(X802 @ (esk40_2 @ X801 @ X802)))))))&(((((X802 @ (esk42_2 @ X801 @ X802))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|((X801 @ (esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))&(((X802 @ (esk42_2 @ X801 @ X802))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X802 @ X808)|((esk42_2 @ X801 @ X802)=(X808))|(((X805)!=(esk41_3 @ X801 @ X802 @ X805))|~(X801 @ X805))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))))&((((X801 @ (esk44_2 @ X801 @ X802))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|((X802 @ (esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))&(((X801 @ (esk44_2 @ X801 @ X802))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802))))&(~(X801 @ X812)|((esk44_2 @ X801 @ X802)=(X812))|(((X809)!=(esk43_3 @ X801 @ X802 @ X809))|~(X802 @ X809))|((X801 @ (esk39_2 @ X801 @ X802))|(X802 @ (esk40_2 @ X801 @ X802)))))))))&(((emptyset)=(emptyset))&((((X813)!=(X814))|(((X815)!=(X816))|((setadjoin @ X813 @ X815)=(setadjoin @ X814 @ X816))))&((((X817)!=(X818))|((powerset @ X817)=(powerset @ X818)))&((((X819)!=(X820))|((setunion @ X819)=(setunion @ X820)))&(((omega)=(omega))&((((X821 @ (esk45_2 @ X821 @ X822))|~(X821 @ X822)|(~(X821 @ X824)|(~(X821 @ X825)|((X824)=(X825)))))&(((X822)!=(esk45_2 @ X821 @ X822))|~(X821 @ X822)|(~(X821 @ X824)|(~(X821 @ X825)|((X824)=(X825))))))&((((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((esk46_2 @ X826 @ X827)=(esk47_2 @ X826 @ X827)))))&(((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827)))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|(~(X826 @ (esk46_2 @ X826 @ X827))|~(X827 @ (esk47_2 @ X826 @ X827))))))&((((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|((X826 @ (esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827)))))&(((X827 @ (esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))&(((X832)!=(esk49_3 @ X826 @ X827 @ X832))|~(X827 @ X832)|((descr @ (^[Z0/* 3 */:$i]:((X826 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X827 @ Z0)))))|(((X830)!=(esk48_3 @ X826 @ X827 @ X830))|~(X826 @ X830))|((X826 @ (esk46_2 @ X826 @ X827))|(X827 @ (esk47_2 @ X826 @ X827))))))))&((((in @ (esk50_4 @ X834 @ X835 @ X836 @ X837) @ X834)|((dsetconstr @ X834 @ (^[Z0/* 3 */:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0/* 3 */:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&(((in @ (esk51_4 @ X834 @ X835 @ X836 @ X837) @ X835)|((dsetconstr @ X834 @ (^[Z0/* 3 */:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0/* 3 */:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((((esk50_4 @ X834 @ X835 @ X836 @ X837)=(esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0/* 3 */:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0/* 3 */:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((~(X836 @ (esk50_4 @ X834 @ X835 @ X836 @ X837))|~(X837 @ (esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0/* 3 */:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0/* 3 */:$i]:((X837 @ Z0)))))|((X834)!=(X835)))&((X836 @ (esk50_4 @ X834 @ X835 @ X836 @ X837))|(X837 @ (esk51_4 @ X834 @ X835 @ X836 @ X837))|((dsetconstr @ X834 @ (^[Z0/* 3 */:$i]:((X836 @ Z0))))=(dsetconstr @ X835 @ (^[Z0/* 3 */:$i]:((X837 @ Z0)))))|((X834)!=(X835)))))))&((((in @ (esk52_2 @ X840 @ X841) @ X840)|(subset @ X840 @ X841))&(~(in @ (esk52_2 @ X840 @ X841) @ X841)|(subset @ X840 @ X841)))&((((X843)!=(X844))|(subset @ X844 @ X843))&((((X845)!=(X846))|(subset @ X845 @ X846))&((((in @ (esk53_2 @ X847 @ X848) @ X847)|(subset @ X847 @ X848))&(~(in @ (esk53_2 @ X847 @ X848) @ X848)|(subset @ X847 @ X848)))&((subset @ emptyset @ X850)&((~(subset @ X851 @ X852)|(~(in @ X853 @ X851)|(in @ X853 @ X852)))&((~(subset @ X854 @ X855)|((in @ X856 @ X855)|~(in @ X856 @ X854)))&((~(in @ X859 @ X857)|((in @ X859 @ X858)|~(subset @ X857 @ X858)))&(((subset @ X860 @ X861)|((X860)!=(X861)))&((~(in @ X864 @ X862)|((in @ X864 @ X863)|((X862)!=(X863))))&((subset @ X865 @ X865)&((~(subset @ X866 @ X867)|(~(subset @ X867 @ X868)|(subset @ X866 @ X868)))&((subset @ X870 @ (setadjoin @ X869 @ X870))&((~(subset @ X871 @ X873)|(subset @ X871 @ (setadjoin @ X872 @ X873)))&((~(subset @ X874 @ X875)|(in @ X874 @ (powerset @ X875)))&((~(subset @ X876 @ X877)|(~(subset @ X877 @ X876)|((X876)=(X877))))&((~(subset @ X878 @ emptyset)|((X878)=(emptyset)))&((~(subset @ X880 @ X879)|(in @ X880 @ (powerset @ X879)))&((~(in @ X882 @ (powerset @ X881))|(subset @ X882 @ X881))&((in @ X883 @ (powerset @ X883))&((~(subset @ X884 @ X885)|(subset @ (powerset @ X884) @ (powerset @ X885)))&((in @ (dsetconstr @ X886 @ (^[Z0/* 3 */:$i]:((X887 @ Z0)))) @ (powerset @ X886))&((subset @ (dsetconstr @ X888 @ (^[Z0/* 3 */:$i]:((X889 @ Z0)))) @ X888)&((in @ esk56_0 @ esk54_0)&~(in @ esk56_0 @ (binunion @ esk54_0 @ esk55_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_143])])])])])])). 0.16/0.50 thf(c_0_145, plain, ![X602:$i, X603:$i]:(((binunion @ X602 @ X603)=(setunion @ (setadjoin @ X602 @ (setadjoin @ X603 @ emptyset))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[binunion])])). 0.16/0.50 thf(c_0_146, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_144])). 0.16/0.50 thf(c_0_147, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_144])). 0.16/0.50 thf(c_0_148, plain, ![X604:$i, X605:$i]:(((binunion @ X604 @ X605)=(setunion @ (setadjoin @ X604 @ (setadjoin @ X605 @ emptyset))))), inference(variable_rename,[status(thm)],[c_0_145])). 0.16/0.50 thf(c_0_149, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setunion @ (setadjoin @ X3 @ X4)))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_146, c_0_147])). 0.16/0.50 thf(c_0_150, plain, ![X2:$i, X3:$i]:(((binunion @ X2 @ X3)=(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_148])). 0.16/0.50 thf(c_0_151, negated_conjecture, ~((in @ esk56_0 @ (binunion @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_144])). 0.16/0.50 thf(c_0_152, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X3 @ X4))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_149, c_0_150])). 0.16/0.50 thf(c_0_153, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_144])). 0.16/0.50 thf(c_0_154, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153])]), ['proof']). 0.16/0.50 # SZS output end CNFRefutation 0.16/0.50 # Parsed axioms : 216 0.16/0.50 # Removed by relevancy pruning/SinE : 0 0.16/0.50 # Initial clauses : 324 0.16/0.50 # Removed in clause preprocessing : 127 0.16/0.50 # Initial clauses in saturation : 197 0.16/0.50 # Processed clauses : 338 0.16/0.50 # ...of these trivial : 7 0.16/0.50 # ...subsumed : 49 0.16/0.50 # ...remaining for further processing : 282 0.16/0.50 # Other redundant clauses eliminated : 13 0.16/0.50 # Clauses deleted for lack of memory : 0 0.16/0.50 # Backward-subsumed : 0 0.16/0.50 # Backward-rewritten : 5 0.16/0.50 # Generated clauses : 398 0.16/0.50 # ...of the previous two non-redundant : 313 0.16/0.50 # ...aggressively subsumed : 0 0.16/0.50 # Contextual simplify-reflections : 0 0.16/0.50 # Paramodulations : 377 0.16/0.50 # Factorizations : 2 0.16/0.50 # NegExts : 0 0.16/0.50 # Equation resolutions : 13 0.16/0.50 # Total rewrite steps : 108 0.16/0.50 # Propositional unsat checks : 0 0.16/0.50 # Propositional check models : 0 0.16/0.50 # Propositional check unsatisfiable : 0 0.16/0.50 # Propositional clauses : 0 0.16/0.50 # Propositional clauses after purity: 0 0.16/0.50 # Propositional unsat core size : 0 0.16/0.50 # Propositional preprocessing time : 0.000 0.16/0.50 # Propositional encoding time : 0.000 0.16/0.50 # Propositional solver time : 0.000 0.16/0.50 # Success case prop preproc time : 0.000 0.16/0.50 # Success case prop encoding time : 0.000 0.16/0.50 # Success case prop solver time : 0.000 0.16/0.50 # Current number of processed clauses : 92 0.16/0.50 # Positive orientable unit clauses : 30 0.16/0.50 # Positive unorientable unit clauses: 0 0.16/0.50 # Negative unit clauses : 3 0.16/0.50 # Non-unit-clauses : 59 0.16/0.50 # Current number of unprocessed clauses: 331 0.16/0.50 # ...number of literals in the above : 989 0.16/0.50 # Current number of archived formulas : 0 0.16/0.50 # Current number of archived clauses : 177 0.16/0.50 # Clause-clause subsumption calls (NU) : 5864 0.16/0.50 # Rec. Clause-clause subsumption calls : 1471 0.16/0.50 # Non-unit clause-clause subsumptions : 35 0.16/0.50 # Unit Clause-clause subsumption calls : 59 0.16/0.50 # Rewrite failures with RHS unbound : 0 0.16/0.50 # BW rewrite match attempts : 10 0.16/0.50 # BW rewrite match successes : 4 0.16/0.50 # Condensation attempts : 0 0.16/0.50 # Condensation successes : 0 0.16/0.50 # Termbank termtop insertions : 44165 0.16/0.50 0.16/0.50 # ------------------------------------------------- 0.16/0.50 # User time : 0.051 s 0.16/0.50 # System time : 0.007 s 0.16/0.50 # Total time : 0.058 s 0.16/0.50 # Maximum resident set size: 4332 pages 0.16/0.51 0.16/0.51 # ------------------------------------------------- 0.16/0.51 # User time : 0.203 s 0.16/0.51 # System time : 0.018 s 0.16/0.51 # Total time : 0.221 s 0.16/0.51 # Maximum resident set size: 1940 pages 0.16/0.51 % E---3.1 exiting 0.16/0.51 EOF