0.06/0.14 % Problem : Vampire---4.8_1428 : TPTP v0.0.0. Released v0.0.0. 0.06/0.15 % Command : run_E %s %d THM 0.16/0.36 % Computer : n019.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 13:08:04 EDT 2023 0.16/0.36 % CPUTime : 0.22/0.51 Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428 0.22/0.51 # Version: 3.1pre001-ho 0.22/0.58 # Preprocessing class: HSLMSLSSLLLCHFA. 0.22/0.58 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.58 # Starting ehoh_best5 with 180s (1) cores 0.22/0.58 # Starting almost_fo_3_lam with 180s (1) cores 0.22/0.58 # Starting new_bool_5 with 180s (1) cores 0.22/0.58 # Starting pre_casc_3 with 180s (1) cores 0.22/0.58 # Starting ho_unfolding_8 with 180s (1) cores 0.22/0.58 # Starting new_ho_10_cnf2 with 180s (1) cores 0.22/0.58 # Starting new_bool_3 with 180s (1) cores 0.22/0.58 # Starting new_ho_5 with 180s (1) cores 0.22/0.58 # almost_fo_3_lam with pid 1609 completed with status 0 0.22/0.58 # Result found by almost_fo_3_lam 0.22/0.58 # Preprocessing class: HSLMSLSSLLLCHFA. 0.22/0.58 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.58 # Starting ehoh_best5 with 180s (1) cores 0.22/0.58 # Starting almost_fo_3_lam with 180s (1) cores 0.22/0.58 # No SInE strategy applied 0.22/0.58 # Search class: HGHSM-FSLM31-MHFMMSBN 0.22/0.58 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.58 # Starting new_ho_10_cnf2 with 98s (1) cores 0.22/0.58 # new_ho_10_cnf2 with pid 1619 completed with status 0 0.22/0.58 # Result found by new_ho_10_cnf2 0.22/0.58 # Preprocessing class: HSLMSLSSLLLCHFA. 0.22/0.58 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.58 # Starting ehoh_best5 with 180s (1) cores 0.22/0.58 # Starting almost_fo_3_lam with 180s (1) cores 0.22/0.58 # No SInE strategy applied 0.22/0.58 # Search class: HGHSM-FSLM31-MHFMMSBN 0.22/0.58 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.58 # Starting new_ho_10_cnf2 with 98s (1) cores 0.22/0.58 # Preprocessing time : 0.005 s 0.22/0.58 # Presaturation interreduction done 0.22/0.58 0.22/0.58 # Proof found! 0.22/0.58 # SZS status Theorem 0.22/0.58 # SZS output start CNFRefutation 0.22/0.58 thf(decl_22, type, in: $i > $i > $o). 0.22/0.58 thf(decl_23, type, exu: ($i > $o) > $o). 0.22/0.58 thf(decl_24, type, setextAx: $o). 0.22/0.58 thf(decl_25, type, emptyset: $i). 0.22/0.58 thf(decl_26, type, emptysetAx: $o). 0.22/0.58 thf(decl_27, type, setadjoin: $i > $i > $i). 0.22/0.58 thf(decl_28, type, setadjoinAx: $o). 0.22/0.58 thf(decl_29, type, powerset: $i > $i). 0.22/0.58 thf(decl_30, type, powersetAx: $o). 0.22/0.58 thf(decl_31, type, setunion: $i > $i). 0.22/0.58 thf(decl_32, type, setunionAx: $o). 0.22/0.58 thf(decl_33, type, omega: $i). 0.22/0.58 thf(decl_34, type, omega0Ax: $o). 0.22/0.58 thf(decl_35, type, omegaSAx: $o). 0.22/0.58 thf(decl_36, type, omegaIndAx: $o). 0.22/0.58 thf(decl_37, type, replAx: $o). 0.22/0.58 thf(decl_38, type, foundationAx: $o). 0.22/0.58 thf(decl_39, type, wellorderingAx: $o). 0.22/0.58 thf(decl_40, type, descr: ($i > $o) > $i). 0.22/0.58 thf(decl_41, type, descrp: $o). 0.22/0.58 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_43, type, dsetconstrI: $o). 0.22/0.58 thf(decl_44, type, dsetconstrEL: $o). 0.22/0.58 thf(decl_45, type, dsetconstrER: $o). 0.22/0.58 thf(decl_46, type, exuE1: $o). 0.22/0.58 thf(decl_47, type, prop2set: $o > $i). 0.22/0.58 thf(decl_48, type, prop2setE: $o). 0.22/0.58 thf(decl_49, type, emptysetE: $o). 0.22/0.58 thf(decl_50, type, emptysetimpfalse: $o). 0.22/0.58 thf(decl_51, type, notinemptyset: $o). 0.22/0.58 thf(decl_52, type, exuE3e: $o). 0.22/0.58 thf(decl_53, type, setext: $o). 0.22/0.58 thf(decl_54, type, emptyI: $o). 0.22/0.58 thf(decl_55, type, noeltsimpempty: $o). 0.22/0.58 thf(decl_56, type, setbeta: $o). 0.22/0.58 thf(decl_57, type, nonempty: $i > $o). 0.22/0.58 thf(decl_58, type, nonemptyE1: $o). 0.22/0.58 thf(decl_59, type, nonemptyI: $o). 0.22/0.58 thf(decl_60, type, nonemptyI1: $o). 0.22/0.58 thf(decl_61, type, setadjoinIL: $o). 0.22/0.58 thf(decl_62, type, emptyinunitempty: $o). 0.22/0.58 thf(decl_63, type, setadjoinIR: $o). 0.22/0.58 thf(decl_64, type, setadjoinE: $o). 0.22/0.58 thf(decl_65, type, setadjoinOr: $o). 0.22/0.58 thf(decl_66, type, setoftrueEq: $o). 0.22/0.58 thf(decl_67, type, powersetI: $o). 0.22/0.58 thf(decl_68, type, emptyinPowerset: $o). 0.22/0.58 thf(decl_69, type, emptyInPowerset: $o). 0.22/0.58 thf(decl_70, type, powersetE: $o). 0.22/0.58 thf(decl_71, type, setunionI: $o). 0.22/0.58 thf(decl_72, type, setunionE: $o). 0.22/0.58 thf(decl_73, type, subPowSU: $o). 0.22/0.58 thf(decl_74, type, exuE2: $o). 0.22/0.58 thf(decl_75, type, nonemptyImpWitness: $o). 0.22/0.58 thf(decl_76, type, uniqinunit: $o). 0.22/0.58 thf(decl_77, type, notinsingleton: $o). 0.22/0.58 thf(decl_78, type, eqinunit: $o). 0.22/0.58 thf(decl_79, type, singletonsswitch: $o). 0.22/0.58 thf(decl_80, type, upairsetE: $o). 0.22/0.58 thf(decl_81, type, upairsetIL: $o). 0.22/0.58 thf(decl_82, type, upairsetIR: $o). 0.22/0.58 thf(decl_83, type, emptyE1: $o). 0.22/0.58 thf(decl_84, type, vacuousDall: $o). 0.22/0.58 thf(decl_85, type, quantDeMorgan1: $o). 0.22/0.58 thf(decl_86, type, quantDeMorgan2: $o). 0.22/0.58 thf(decl_87, type, quantDeMorgan3: $o). 0.22/0.58 thf(decl_88, type, quantDeMorgan4: $o). 0.22/0.58 thf(decl_89, type, prop2setI: $o). 0.22/0.58 thf(decl_90, type, set2prop: $i > $o). 0.22/0.58 thf(decl_91, type, prop2set2propI: $o). 0.22/0.58 thf(decl_92, type, notdexE: $o). 0.22/0.58 thf(decl_93, type, notdallE: $o). 0.22/0.58 thf(decl_94, type, exuI1: $o). 0.22/0.58 thf(decl_95, type, exuI3: $o). 0.22/0.58 thf(decl_96, type, exuI2: $o). 0.22/0.58 thf(decl_97, type, inCongP: $o). 0.22/0.58 thf(decl_98, type, in__Cong: $o). 0.22/0.58 thf(decl_99, type, exuE3u: $o). 0.22/0.58 thf(decl_100, type, exu__Cong: $o). 0.22/0.58 thf(decl_101, type, emptyset__Cong: $o). 0.22/0.58 thf(decl_102, type, setadjoin__Cong: $o). 0.22/0.58 thf(decl_103, type, powerset__Cong: $o). 0.22/0.58 thf(decl_104, type, setunion__Cong: $o). 0.22/0.58 thf(decl_105, type, omega__Cong: $o). 0.22/0.58 thf(decl_106, type, exuEu: $o). 0.22/0.58 thf(decl_107, type, descr__Cong: $o). 0.22/0.58 thf(decl_108, type, dsetconstr__Cong: $o). 0.22/0.58 thf(decl_109, type, subset: $i > $i > $o). 0.22/0.58 thf(decl_112, type, subsetI1: $o). 0.22/0.58 thf(decl_113, type, eqimpsubset2: $o). 0.22/0.58 thf(decl_114, type, eqimpsubset1: $o). 0.22/0.58 thf(decl_115, type, subsetI2: $o). 0.22/0.58 thf(decl_116, type, emptysetsubset: $o). 0.22/0.58 thf(decl_117, type, subsetE: $o). 0.22/0.58 thf(decl_118, type, subsetE2: $o). 0.22/0.58 thf(decl_119, type, notsubsetI: $o). 0.22/0.58 thf(decl_120, type, notequalI1: $o). 0.22/0.58 thf(decl_121, type, notequalI2: $o). 0.22/0.58 thf(decl_122, type, subsetRefl: $o). 0.22/0.58 thf(decl_123, type, subsetTrans: $o). 0.22/0.58 thf(decl_124, type, setadjoinSub: $o). 0.22/0.58 thf(decl_125, type, setadjoinSub2: $o). 0.22/0.58 thf(decl_126, type, subset2powerset: $o). 0.22/0.58 thf(decl_127, type, setextsub: $o). 0.22/0.58 thf(decl_128, type, subsetemptysetimpeq: $o). 0.22/0.58 thf(decl_129, type, powersetI1: $o). 0.22/0.58 thf(decl_130, type, powersetE1: $o). 0.22/0.58 thf(decl_131, type, inPowerset: $o). 0.22/0.58 thf(decl_132, type, powersetsubset: $o). 0.22/0.58 thf(decl_133, type, sepInPowerset: $o). 0.22/0.58 thf(decl_134, type, sepSubset: $o). 0.22/0.58 thf(decl_135, type, binunion: $i > $i > $i). 0.22/0.58 thf(decl_136, type, binunionIL: $o). 0.22/0.58 thf(decl_137, type, upairset2IR: $o). 0.22/0.58 thf(decl_138, type, binunionIR: $o). 0.22/0.58 thf(decl_139, type, binunionEcases: $o). 0.22/0.58 thf(decl_140, type, binunionE: $o). 0.22/0.58 thf(decl_141, type, binunionLsub: $o). 0.22/0.58 thf(decl_142, type, binunionRsub: $o). 0.22/0.58 thf(decl_143, type, binintersect: $i > $i > $i). 0.22/0.58 thf(decl_144, type, binintersectI: $o). 0.22/0.58 thf(decl_145, type, binintersectSubset5: $o). 0.22/0.58 thf(decl_146, type, binintersectEL: $o). 0.22/0.58 thf(decl_147, type, binintersectLsub: $o). 0.22/0.58 thf(decl_148, type, binintersectSubset2: $o). 0.22/0.58 thf(decl_149, type, binintersectSubset3: $o). 0.22/0.58 thf(decl_150, type, binintersectER: $o). 0.22/0.58 thf(decl_151, type, disjointsetsI1: $o). 0.22/0.58 thf(decl_152, type, binintersectRsub: $o). 0.22/0.58 thf(decl_153, type, binintersectSubset4: $o). 0.22/0.58 thf(decl_154, type, binintersectSubset1: $o). 0.22/0.58 thf(decl_155, type, bs114d: $o). 0.22/0.58 thf(decl_157, type, setminus: $i > $i > $i). 0.22/0.58 thf(decl_158, type, setminusI: $o). 0.22/0.58 thf(decl_159, type, setminusEL: $o). 0.22/0.58 thf(decl_160, type, epred1_0: $o). 0.22/0.58 thf(decl_161, type, esk1_2: $i > $i > $i). 0.22/0.58 thf(decl_162, type, esk2_2: $i > $i > $i). 0.22/0.58 thf(decl_163, type, esk3_2: $i > $i > $i). 0.22/0.58 thf(decl_164, type, esk4_1: $i > $i). 0.22/0.58 thf(decl_165, type, esk5_2: ($i > $i > $o) > $i > $i). 0.22/0.58 thf(decl_166, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.22/0.58 thf(decl_167, type, esk7_2: ($i > $i > $o) > $i > $i). 0.22/0.58 thf(decl_168, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.22/0.58 thf(decl_169, type, esk9_1: $i > $i). 0.22/0.58 thf(decl_170, type, esk10_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_171, type, esk11_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_172, type, esk12_1: ($i > $o) > $i). 0.22/0.58 thf(decl_173, type, esk13_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_174, type, esk14_1: ($i > $o) > $i). 0.22/0.58 thf(decl_175, type, esk15_2: $i > $i > $i). 0.22/0.58 thf(decl_176, type, esk16_2: $i > $i > $i). 0.22/0.58 thf(decl_177, type, esk17_1: $i > $i). 0.22/0.58 thf(decl_178, type, esk18_1: $i > $i). 0.22/0.58 thf(decl_179, type, esk19_1: $i > $i). 0.22/0.58 thf(decl_180, type, esk20_2: $i > $i > $i). 0.22/0.58 thf(decl_181, type, esk21_3: $i > $i > $o > $i). 0.22/0.58 thf(decl_182, type, esk22_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_183, type, esk23_1: ($i > $o) > $i). 0.22/0.58 thf(decl_184, type, esk24_1: $i > $i). 0.22/0.58 thf(decl_185, type, esk25_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_186, type, esk26_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_187, type, esk27_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_188, type, esk28_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_189, type, esk29_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_190, type, esk30_2: $i > ($i > $o) > $i). 0.22/0.58 thf(decl_191, type, esk31_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_192, type, esk32_1: ($i > $o) > $i). 0.22/0.58 thf(decl_193, type, esk33_1: ($i > $o) > $i). 0.22/0.58 thf(decl_194, type, esk34_1: ($i > $o) > $i). 0.22/0.58 thf(decl_195, type, esk35_1: ($i > $o) > $i). 0.22/0.58 thf(decl_196, type, esk36_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_197, type, esk37_1: ($i > $o) > $i). 0.22/0.58 thf(decl_198, type, esk38_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_199, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_200, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_201, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.58 thf(decl_202, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_203, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.58 thf(decl_204, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_205, type, esk45_2: ($i > $o) > $i > $i). 0.22/0.58 thf(decl_206, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_207, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_208, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.58 thf(decl_209, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.58 thf(decl_210, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_211, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.22/0.58 thf(decl_212, type, esk52_2: $i > $i > $i). 0.22/0.58 thf(decl_213, type, esk53_2: $i > $i > $i). 0.22/0.58 thf(decl_214, type, esk54_2: $i > $i > $i). 0.22/0.58 thf(decl_215, type, esk55_0: $i). 0.22/0.58 thf(decl_216, type, esk56_0: $i). 0.22/0.58 thf(decl_217, type, esk57_0: $i). 0.22/0.58 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', replAx)). 0.22/0.58 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exu)). 0.22/0.58 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', descrp)). 0.22/0.58 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuE1)). 0.22/0.58 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuE3e)). 0.22/0.58 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', nonempty)). 0.22/0.58 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', nonemptyI)). 0.22/0.58 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuE2)). 0.22/0.58 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuI1)). 0.22/0.58 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuI3)). 0.22/0.58 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuI2)). 0.22/0.58 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuE3u)). 0.22/0.58 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exu__Cong)). 0.22/0.58 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', exuEu)). 0.22/0.58 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', descr__Cong)). 0.22/0.58 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', dsetconstrI)). 0.22/0.58 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', dsetconstrEL)). 0.22/0.58 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', dsetconstrER)). 0.22/0.58 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setbeta)). 0.22/0.58 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', nonemptyE1)). 0.22/0.58 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', nonemptyI1)). 0.22/0.58 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setoftrueEq)). 0.22/0.58 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', nonemptyImpWitness)). 0.22/0.58 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyE1)). 0.22/0.58 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', dsetconstr__Cong)). 0.22/0.58 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', sepInPowerset)). 0.22/0.58 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', sepSubset)). 0.22/0.58 thf(setminusER, conjecture, ((((((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>(((descrp)=>((dsetconstrI)=>((((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>((((noeltsimpempty)=>((((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((((powersetI)=>(((emptyInPowerset)=>((powersetE)=>((((subPowSU)=>((exuE2)=>(((uniqinunit)=>(((((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>(((((quantDeMorgan3)=>((quantDeMorgan4)=>((((notdexE)=>((notdallE)=>((((((in__Cong)=>((exuE3u)=>((exu__Cong)=>(((setadjoin__Cong)=>(((setunion__Cong)=>((((((subsetI1)=>((((subsetI2)=>((emptysetsubset)=>((subsetE)=>(((((notequalI2)=>(((subsetTrans)=>(((setadjoinSub2)=>(((setextsub)=>((subsetemptysetimpeq)=>((((((sepInPowerset)=>((sepSubset)=>(((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>(((binintersectLsub)=>((((((binintersectRsub)=>(((binintersectSubset1)=>(((![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))<=(setminusEL))<=(setminusI))<=(bs114d)))<=(binintersectSubset4)))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3))<=(binintersectSubset2)))<=(binintersectEL))))))))))<=(binunionIL))))<=(powersetsubset))<=(inPowerset))<=(powersetE1))<=(powersetI1))))<=(subset2powerset)))<=(setadjoinSub)))<=(subsetRefl)))<=(notequalI1))<=(notsubsetI))<=(subsetE2)))))<=(eqimpsubset1))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong)))<=(emptyset__Cong)))))<=(inCongP))<=(exuI2))<=(exuI3))<=(exuI1))))<=(prop2set2propI))<=(prop2setI))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))))))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness))))<=(setunionE))<=(setunionI))))<=(emptyinPowerset)))<=(setoftrueEq))<=(setadjoinOr))))))<=(nonemptyI1)))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse)))))<=(dsetconstrER))<=(dsetconstrEL))))<=(wellorderingAx)))<=(replAx))))))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setminusER)). 0.22/0.58 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setextAx)). 0.22/0.58 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptysetAx)). 0.22/0.58 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinAx)). 0.22/0.58 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetAx)). 0.22/0.58 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setunionAx)). 0.22/0.58 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', omega0Ax)). 0.22/0.58 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', omegaSAx)). 0.22/0.58 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', omegaIndAx)). 0.22/0.58 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', foundationAx)). 0.22/0.58 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', wellorderingAx)). 0.22/0.58 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', prop2setE)). 0.22/0.58 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptysetE)). 0.22/0.58 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptysetimpfalse)). 0.22/0.58 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notinemptyset)). 0.22/0.58 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setext)). 0.22/0.58 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyI)). 0.22/0.58 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', noeltsimpempty)). 0.22/0.58 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinIL)). 0.22/0.58 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyinunitempty)). 0.22/0.58 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinIR)). 0.22/0.58 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinE)). 0.22/0.58 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinOr)). 0.22/0.58 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetI)). 0.22/0.58 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyinPowerset)). 0.22/0.58 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyInPowerset)). 0.22/0.58 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetE)). 0.22/0.58 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setunionI)). 0.22/0.58 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setunionE)). 0.22/0.58 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subPowSU)). 0.22/0.58 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', uniqinunit)). 0.22/0.58 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notinsingleton)). 0.22/0.58 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', eqinunit)). 0.22/0.58 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', singletonsswitch)). 0.22/0.58 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', upairsetE)). 0.22/0.58 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', upairsetIL)). 0.22/0.58 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', upairsetIR)). 0.22/0.58 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', vacuousDall)). 0.22/0.58 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', quantDeMorgan1)). 0.22/0.58 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', quantDeMorgan2)). 0.22/0.58 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', quantDeMorgan3)). 0.22/0.58 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', quantDeMorgan4)). 0.22/0.58 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', prop2setI)). 0.22/0.58 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', prop2set2propI)). 0.22/0.58 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notdexE)). 0.22/0.58 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notdallE)). 0.22/0.58 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', inCongP)). 0.22/0.58 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', in__Cong)). 0.22/0.58 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptyset__Cong)). 0.22/0.58 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoin__Cong)). 0.22/0.58 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powerset__Cong)). 0.22/0.58 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setunion__Cong)). 0.22/0.58 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', omega__Cong)). 0.22/0.58 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetI1)). 0.22/0.58 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', eqimpsubset2)). 0.22/0.58 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', eqimpsubset1)). 0.22/0.58 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetI2)). 0.22/0.58 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', emptysetsubset)). 0.22/0.58 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetE)). 0.22/0.58 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetE2)). 0.22/0.58 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notsubsetI)). 0.22/0.58 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notequalI1)). 0.22/0.58 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', notequalI2)). 0.22/0.58 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetRefl)). 0.22/0.58 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetTrans)). 0.22/0.58 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinSub)). 0.22/0.58 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setadjoinSub2)). 0.22/0.58 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subset2powerset)). 0.22/0.58 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setextsub)). 0.22/0.58 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', subsetemptysetimpeq)). 0.22/0.58 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetI1)). 0.22/0.58 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetE1)). 0.22/0.58 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', inPowerset)). 0.22/0.58 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', powersetsubset)). 0.22/0.58 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionIL)). 0.22/0.58 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', upairset2IR)). 0.22/0.58 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionIR)). 0.22/0.58 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionEcases)). 0.22/0.58 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionE)). 0.22/0.58 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionLsub)). 0.22/0.58 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binunionRsub)). 0.22/0.58 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectI)). 0.22/0.58 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectSubset5)). 0.22/0.58 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectEL)). 0.22/0.58 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectLsub)). 0.22/0.58 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectSubset2)). 0.22/0.58 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectSubset3)). 0.22/0.58 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectER)). 0.22/0.58 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', disjointsetsI1)). 0.22/0.58 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectRsub)). 0.22/0.58 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectSubset4)). 0.22/0.58 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', binintersectSubset1)). 0.22/0.58 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', bs114d)). 0.22/0.58 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setminusI)). 0.22/0.58 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setminusEL)). 0.22/0.58 thf(setminus, axiom, ((setminus)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:(~((in @ X2 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.VTT3P3Ugpa/Vampire---4.8_1428', setminus)). 0.22/0.58 thf(c_0_123, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.22/0.58 thf(c_0_124, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.22/0.58 thf(c_0_125, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.22/0.58 thf(c_0_126, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.22/0.58 thf(c_0_127, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.22/0.58 thf(c_0_128, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.22/0.58 thf(c_0_129, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.22/0.58 thf(c_0_130, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.22/0.58 thf(c_0_131, 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])). 0.22/0.58 thf(c_0_132, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.22/0.58 thf(c_0_133, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.22/0.58 thf(c_0_134, 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])). 0.22/0.58 thf(c_0_135, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.22/0.58 thf(c_0_136, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.22/0.58 thf(c_0_137, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.22/0.58 thf(c_0_138, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X340:$i]:((((X6 @ X2 @ X340))&![X341:$i]:((((X6 @ X2 @ X341))=>((X340)=(X341)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_124])). 0.22/0.58 thf(c_0_139, plain, ((descrp)=(![X1:$i > $o]:(((?[X342:$i]:((((X1 @ X342))&![X343:$i]:((((X1 @ X343))=>((X342)=(X343)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_125, c_0_124])). 0.22/0.58 thf(c_0_140, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.22/0.58 thf(c_0_141, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.22/0.58 thf(c_0_142, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.22/0.58 thf(c_0_143, plain, ((exuE1)=(![X1:$i > $o]:(((?[X344:$i]:((((X1 @ X344))&![X345:$i]:((((X1 @ X345))=>((X344)=(X345)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_124])). 0.22/0.58 thf(c_0_144, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X346:$i]:((((X1 @ X346))&![X347:$i]:((((X1 @ X347))=>((X346)=(X347)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_127, c_0_124])). 0.22/0.58 thf(c_0_145, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.22/0.58 thf(c_0_146, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_128])). 0.22/0.58 thf(c_0_147, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_128])). 0.22/0.58 thf(c_0_148, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_128])). 0.22/0.58 thf(c_0_149, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.22/0.58 thf(c_0_150, plain, ((exuE2)=(![X1:$i > $o]:(((?[X348:$i]:((((X1 @ X348))&![X349:$i]:((((X1 @ X349))=>((X348)=(X349)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_124])). 0.22/0.58 thf(c_0_151, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_128])). 0.22/0.58 thf(c_0_152, 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])). 0.22/0.58 thf(c_0_153, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X350:$i]:((((X1 @ X350))&![X351:$i]:((((X1 @ X351))=>((X350)=(X351))))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_124])). 0.22/0.58 thf(c_0_154, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X352:$i]:((((X1 @ X352))&![X353:$i]:((((X1 @ X353))=>((X352)=(X353)))))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_124])). 0.22/0.58 thf(c_0_155, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X354:$i]:((((X1 @ X354))&![X355:$i]:((((X1 @ X355))=>((X354)=(X355))))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_124])). 0.22/0.58 thf(c_0_156, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X356:$i]:((((X1 @ X356))&![X357:$i]:((((X1 @ X357))=>((X356)=(X357)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_124])). 0.22/0.58 thf(c_0_157, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X358:$i]:((((X1 @ X358))&![X359:$i]:((((X1 @ X359))=>((X358)=(X359)))))))<=>(?[X360:$i]:((((X17 @ X360))&![X361:$i]:((((X17 @ X361))=>((X360)=(X361)))))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_124])). 0.22/0.58 thf(c_0_158, plain, ((exuEu)=(![X1:$i > $o]:(((?[X362:$i]:((((X1 @ X362))&![X363:$i]:((((X1 @ X363))=>((X362)=(X363)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_124])). 0.22/0.58 thf(c_0_159, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X364:$i]:((((X1 @ X364))&![X365:$i]:((((X1 @ X365))=>((X364)=(X365)))))))=>((?[X366:$i]:((((X17 @ X366))&![X367:$i]:((((X17 @ X367))=>((X366)=(X367)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_124])). 0.22/0.58 thf(c_0_160, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.22/0.58 thf(c_0_161, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.22/0.58 thf(c_0_162, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.22/0.58 thf(c_0_163, plain, ((epred1_0)<=>![X676:$i]:(?[X677:$i]:((((![X678:$i]:(((in @ X678 @ X677)=>![X679:$i]:(((in @ X679 @ X678)=>(in @ X679 @ X676)))))&![X680:$i, X681:$i]:((((in @ X680 @ X676)&(in @ X681 @ X676))=>(![X682:$i]:(((in @ X682 @ X677)=>((in @ X680 @ X682)<=>(in @ X681 @ X682))))=>((X680)=(X681))))))&![X683:$i, X684:$i]:((((in @ X683 @ X677)&(in @ X684 @ X677))=>(![X685:$i]:(((in @ X685 @ X683)=>(in @ X685 @ X684)))|![X686:$i]:(((in @ X686 @ X684)=>(in @ X686 @ X683)))))))&![X687:$i]:(((![X688:$i]:(((in @ X688 @ X687)=>(in @ X688 @ X676)))&?[X689:$i]:((in @ X689 @ X687)))=>?[X690:$i, X691:$i]:(((((in @ X690 @ X677)&(in @ X691 @ X687))&~(?[X692:$i]:(((in @ X692 @ X690)&(in @ X692 @ X687)))))&![X693:$i]:(((in @ X693 @ X677)=>(![X694:$i]:(((in @ X694 @ X693)=>(in @ X694 @ X690)))|(in @ X691 @ X693)))))))))))), introduced(definition)). 0.22/0.58 thf(c_0_164, negated_conjecture, ~((![X710:$i, X711:$i]:((![X712:$i]:(((in @ X712 @ X710)<=>(in @ X712 @ X711)))=>((X710)=(X711))))=>(![X709:$i]:(~(in @ X709 @ emptyset))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ (setadjoin @ X706 @ X707))<=>(((X708)=(X706))|(in @ X708 @ X707))))=>(![X703:$i, X704:$i]:(((in @ X704 @ (powerset @ X703))<=>![X705:$i]:(((in @ X705 @ X704)=>(in @ X705 @ X703)))))=>(![X368:$i, X369:$i]:(((in @ X369 @ (setunion @ X368))<=>?[X370:$i]:(((in @ X369 @ X370)&(in @ X370 @ X368)))))=>((in @ emptyset @ omega)=>(![X371:$i]:(((in @ X371 @ omega)=>(in @ (setadjoin @ X371 @ X371) @ omega)))=>(![X372:$i]:((((in @ emptyset @ X372)&![X373:$i]:((((in @ X373 @ omega)&(in @ X373 @ X372))=>(in @ (setadjoin @ X373 @ X373) @ X372))))=>![X374:$i]:(((in @ X374 @ omega)=>(in @ X374 @ X372)))))=>(![X695:$i > $i > $o, X696:$i]:((![X697:$i]:(((in @ X697 @ X696)=>?[X698:$i]:(((X695 @ X697 @ X698)&![X699:$i]:(((X695 @ X697 @ X699)=>((X698)=(X699))))))))=>?[X700:$i]:(![X701:$i]:(((in @ X701 @ X700)<=>?[X702:$i]:(((in @ X702 @ X696)&(X695 @ X702 @ X701))))))))=>(![X375:$i]:((?[X376:$i]:((in @ X376 @ X375))=>?[X377:$i]:(((in @ X377 @ X375)&~(?[X378:$i]:(((in @ X378 @ X377)&(in @ X378 @ X375))))))))=>((epred1_0)=>(![X379:$i > $o]:((?[X380:$i]:(((X379 @ X380)&![X381:$i]:(((X379 @ X381)=>((X380)=(X381))))))=>(X379 @ (descr @ (^[Z0/* 3 */:$i]:((X379 @ Z0)))))))=>(![X382:$i, X383:$i > $o, X384:$i]:(((in @ X384 @ X382)=>((X383 @ X384)=>(in @ X384 @ (dsetconstr @ X382 @ (^[Z0/* 3 */:$i]:((X383 @ Z0))))))))=>(![X673:$i, X674:$i > $o, X675:$i]:(((in @ X675 @ (dsetconstr @ X673 @ (^[Z0/* 3 */:$i]:((X674 @ Z0)))))=>(in @ X675 @ X673)))=>(![X670:$i, X671:$i > $o, X672:$i]:(((in @ X672 @ (dsetconstr @ X670 @ (^[Z0/* 3 */:$i]:((X671 @ Z0)))))=>(X671 @ X672)))=>(![X385:$i > $o]:((?[X386:$i]:(((X385 @ X386)&![X387:$i]:(((X385 @ X387)=>((X386)=(X387))))))=>?[X388:$i]:(((X385 @ X388)&![X389:$i]:(((X385 @ X389)=>((X388)=(X389))))))))=>(![X390:$o, X391:$i]:(((in @ X391 @ (prop2set @ ((X390))))=>(X390)))=>(![X392:$i]:(((in @ X392 @ emptyset)=>![X393:$o]:((X393))))=>(![X669:$i]:(~(in @ X669 @ emptyset))=>(![X668:$i]:(~(in @ X668 @ emptyset))=>(![X394:$i > $o]:((?[X395:$i]:(((X394 @ X395)&![X396:$i]:(((X394 @ X396)=>((X395)=(X396))))))=>?[X397:$i]:((X394 @ X397))))=>(![X664:$i, X665:$i]:((![X666:$i]:(((in @ X666 @ X664)=>(in @ X666 @ X665)))=>(![X667:$i]:(((in @ X667 @ X665)=>(in @ X667 @ X664)))=>((X664)=(X665)))))=>(![X662:$i]:((![X663:$i]:(~(in @ X663 @ X662))=>((X662)=(emptyset))))=>(![X398:$i]:((![X399:$i]:(~(in @ X399 @ X398))=>((X398)=(emptyset))))=>(![X659:$i, X660:$i > $o, X661:$i]:(((in @ X661 @ X659)=>((in @ X661 @ (dsetconstr @ X659 @ (^[Z0/* 3 */:$i]:((X660 @ Z0)))))<=>(X660 @ X661))))=>(![X657:$i]:((((X657)!=(emptyset))=>?[X658:$i]:((in @ X658 @ X657))))=>(![X400:$i, X401:$i > $o, X402:$i]:(((in @ X402 @ X400)=>((X401 @ X402)=>((dsetconstr @ X400 @ (^[Z0/* 3 */:$i]:((X401 @ Z0))))!=(emptyset)))))=>(![X655:$i]:((?[X656:$i]:((in @ X656 @ X655))=>((X655)!=(emptyset))))=>(![X403:$i, X404:$i]:((in @ X403 @ (setadjoin @ X403 @ X404)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X405:$i, X406:$i, X407:$i]:(((in @ X407 @ X406)=>(in @ X407 @ (setadjoin @ X405 @ X406))))=>(![X408:$i, X409:$i, X410:$i]:(((in @ X410 @ (setadjoin @ X408 @ X409))=>![X411:$o]:(((((X410)=(X408))=>(X411))=>(((in @ X410 @ X409)=>(X411))=>(X411))))))=>(![X652:$i, X653:$i, X654:$i]:(((in @ X654 @ (setadjoin @ X652 @ X653))=>(((X654)=(X652))|(in @ X654 @ X653))))=>(![X651:$i]:(((dsetconstr @ X651 @ (^[Z0/* 3 */:$i]:(($true))))=(X651)))=>(![X412:$i, X413:$i]:((![X414:$i]:(((in @ X414 @ X413)=>(in @ X414 @ X412)))=>(in @ X413 @ (powerset @ X412))))=>(![X650:$i]:((in @ emptyset @ (powerset @ X650)))=>(![X415:$i]:((in @ emptyset @ (powerset @ X415)))=>(![X416:$i, X417:$i, X418:$i]:(((in @ X417 @ (powerset @ X416))=>((in @ X418 @ X417)=>(in @ X418 @ X416))))=>(![X647:$i, X648:$i, X649:$i]:(((in @ X648 @ X649)=>((in @ X649 @ X647)=>(in @ X648 @ (setunion @ X647)))))=>(![X643:$i, X644:$i]:(((in @ X644 @ (setunion @ X643))=>![X645:$o]:((![X646:$i]:(((in @ X644 @ X646)=>((in @ X646 @ X643)=>(X645))))=>(X645)))))=>(![X419:$i, X420:$i]:(((in @ X420 @ X419)=>(in @ X420 @ (powerset @ (setunion @ X419)))))=>(![X421:$i > $o]:((?[X422:$i]:(((X421 @ X422)&![X423:$i]:(((X421 @ X423)=>((X422)=(X423))))))=>?[X424:$i]:(![X425:$i]:(((X421 @ X425)<=>((X425)=(X424)))))))=>(![X641:$i]:((((X641)!=(emptyset))=>?[X642:$i]:((in @ X642 @ X641))))=>(![X426:$i, X427:$i]:(((in @ X426 @ (setadjoin @ X427 @ emptyset))=>((X426)=(X427))))=>(![X639:$i, X640:$i]:((((X639)!=(X640))=>~(in @ X640 @ (setadjoin @ X639 @ emptyset))))=>(![X637:$i, X638:$i]:((((X637)=(X638))=>(in @ X637 @ (setadjoin @ X638 @ emptyset))))=>(![X635:$i, X636:$i]:(((in @ X635 @ (setadjoin @ X636 @ emptyset))=>(in @ X636 @ (setadjoin @ X635 @ emptyset))))=>(![X428:$i, X429:$i, X430:$i]:(((in @ X430 @ (setadjoin @ X428 @ (setadjoin @ X429 @ emptyset)))=>(((X430)=(X428))|((X430)=(X429)))))=>(![X431:$i, X432:$i]:((in @ X431 @ (setadjoin @ X431 @ (setadjoin @ X432 @ emptyset))))=>(![X433:$i, X434:$i]:((in @ X434 @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset))))=>(![X435:$i, X436:$i > $o]:((?[X437:$i]:(((in @ X437 @ X435)&(X436 @ X437)))=>((dsetconstr @ X435 @ (^[Z0/* 3 */:$i]:((X436 @ Z0))))!=(emptyset))))=>(![X633:$i > $o, X634:$i]:(((in @ X634 @ emptyset)=>(X633 @ X634)))=>(![X629:$i, X630:$i > $o]:((~(![X631:$i]:(((in @ X631 @ X629)=>(X630 @ X631))))=>?[X632:$i]:(((in @ X632 @ X629)&~(X630 @ X632)))))=>(![X625:$i, X626:$i > $o]:((![X627:$i]:(((in @ X627 @ X625)=>~(X626 @ X627)))=>~(?[X628:$i]:(((in @ X628 @ X625)&(X626 @ X628))))))=>(![X438:$i, X439:$i > $o]:((~(?[X440:$i]:(((in @ X440 @ X438)&(X439 @ X440))))=>![X441:$i]:(((in @ X441 @ X438)=>~(X439 @ X441)))))=>(![X442:$i, X443:$i > $o]:((?[X444:$i]:(((in @ X444 @ X442)&~(X443 @ X444)))=>~(![X445:$i]:(((in @ X445 @ X442)=>(X443 @ X445))))))=>(![X624:$o]:(((X624)=>(in @ emptyset @ (prop2set @ ((X624))))))=>(![X623:$o]:(((X623)=>(set2prop @ (prop2set @ ((X623))))))=>(![X446:$i, X447:$i > $o]:((~(?[X448:$i]:(((in @ X448 @ X446)&(X447 @ X448))))=>![X449:$i]:(((in @ X449 @ X446)=>~(X447 @ X449)))))=>(![X450:$i, X451:$i > $o]:((~(![X452:$i]:(((in @ X452 @ X450)=>(X451 @ X452))))=>?[X453:$i]:(((in @ X453 @ X450)&~(X451 @ X453)))))=>(![X618:$i > $o]:((?[X619:$i]:(((X618 @ X619)&![X620:$i]:(((X618 @ X620)=>((X619)=(X620))))))=>?[X621:$i]:(((X618 @ X621)&![X622:$i]:(((X618 @ X622)=>((X621)=(X622))))))))=>(![X612:$i > $o]:((?[X613:$i]:((X612 @ X613))=>(![X614:$i, X615:$i]:(((X612 @ X614)=>((X612 @ X615)=>((X614)=(X615)))))=>?[X616:$i]:(((X612 @ X616)&![X617:$i]:(((X612 @ X617)=>((X616)=(X617)))))))))=>(![X607:$i > $o]:((?[X608:$i]:(![X609:$i]:(((X607 @ X609)<=>((X609)=(X608)))))=>?[X610:$i]:(((X607 @ X610)&![X611:$i]:(((X607 @ X611)=>((X610)=(X611))))))))=>(![X603:$i, X604:$i]:((((X603)=(X604))=>![X605:$i, X606:$i]:((((X605)=(X606))=>((in @ X605 @ X603)=>(in @ X606 @ X604))))))=>(![X454:$i, X455:$i]:((((X454)=(X455))=>![X456:$i, X457:$i]:((((X456)=(X457))=>((in @ X456 @ X454)<=>(in @ X457 @ X455))))))=>(![X458:$i > $o]:((?[X459:$i]:(((X458 @ X459)&![X460:$i]:(((X458 @ X460)=>((X459)=(X460))))))=>![X461:$i, X462:$i]:(((X458 @ X461)=>((X458 @ X462)=>((X461)=(X462)))))))=>(![X463:$i > $o, X464:$i > $o]:((![X465:$i, X466:$i]:((((X465)=(X466))=>((X463 @ X465)<=>(X464 @ X466))))=>(?[X467:$i]:(((X463 @ X467)&![X468:$i]:(((X463 @ X468)=>((X467)=(X468))))))<=>?[X469:$i]:(((X464 @ X469)&![X470:$i]:(((X464 @ X470)=>((X469)=(X470)))))))))=>(((emptyset)=(emptyset))=>(![X471:$i, X472:$i]:((((X471)=(X472))=>![X473:$i, X474:$i]:((((X473)=(X474))=>((setadjoin @ X471 @ X473)=(setadjoin @ X472 @ X474))))))=>(![X601:$i, X602:$i]:((((X601)=(X602))=>((powerset @ X601)=(powerset @ X602))))=>(![X475:$i, X476:$i]:((((X475)=(X476))=>((setunion @ X475)=(setunion @ X476))))=>(((omega)=(omega))=>(![X596:$i > $o]:((?[X597:$i]:(((X596 @ X597)&![X598:$i]:(((X596 @ X598)=>((X597)=(X598))))))=>![X599:$i, X600:$i]:(((X596 @ X599)=>((X596 @ X600)=>((X599)=(X600)))))))=>(![X588:$i > $o, X589:$i > $o]:((![X590:$i, X591:$i]:((((X590)=(X591))=>((X588 @ X590)<=>(X589 @ X591))))=>(?[X592:$i]:(((X588 @ X592)&![X593:$i]:(((X588 @ X593)=>((X592)=(X593))))))=>(?[X594:$i]:(((X589 @ X594)&![X595:$i]:(((X589 @ X595)=>((X594)=(X595))))))=>((descr @ (^[Z0/* 3 */:$i]:((X588 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X589 @ Z0)))))))))=>(![X582:$i, X583:$i]:((((X582)=(X583))=>![X584:$i > $o, X585:$i > $o]:((![X586:$i]:(((in @ X586 @ X582)=>![X587:$i]:(((in @ X587 @ X583)=>(((X586)=(X587))=>((X584 @ X586)<=>(X585 @ X587)))))))=>((dsetconstr @ X582 @ (^[Z0/* 3 */:$i]:((X584 @ Z0))))=(dsetconstr @ X583 @ (^[Z0/* 3 */:$i]:((X585 @ Z0)))))))))=>(![X477:$i, X478:$i]:((![X479:$i]:(((in @ X479 @ X477)=>(in @ X479 @ X478)))=>(subset @ X477 @ X478)))=>(![X580:$i, X581:$i]:((((X580)=(X581))=>(subset @ X581 @ X580)))=>(![X578:$i, X579:$i]:((((X578)=(X579))=>(subset @ X578 @ X579)))=>(![X480:$i, X481:$i]:((![X482:$i]:(((in @ X482 @ X480)=>(in @ X482 @ X481)))=>(subset @ X480 @ X481)))=>(![X483:$i]:((subset @ emptyset @ X483))=>(![X484:$i, X485:$i, X486:$i]:(((subset @ X484 @ X485)=>((in @ X486 @ X484)=>(in @ X486 @ X485))))=>(![X575:$i, X576:$i, X577:$i]:(((subset @ X575 @ X576)=>(~(in @ X577 @ X576)=>~(in @ X577 @ X575))))=>(![X572:$i, X573:$i, X574:$i]:(((in @ X574 @ X572)=>(~(in @ X574 @ X573)=>~(subset @ X572 @ X573))))=>(![X570:$i, X571:$i]:((~(subset @ X570 @ X571)=>((X570)!=(X571))))=>(![X487:$i, X488:$i, X489:$i]:(((in @ X489 @ X487)=>(~(in @ X489 @ X488)=>((X487)!=(X488)))))=>(![X569:$i]:((subset @ X569 @ X569))=>(![X490:$i, X491:$i, X492:$i]:(((subset @ X490 @ X491)=>((subset @ X491 @ X492)=>(subset @ X490 @ X492))))=>(![X567:$i, X568:$i]:((subset @ X568 @ (setadjoin @ X567 @ X568)))=>(![X493:$i, X494:$i, X495:$i]:(((subset @ X493 @ X495)=>(subset @ X493 @ (setadjoin @ X494 @ X495))))=>(![X565:$i, X566:$i]:(((subset @ X565 @ X566)=>(in @ X565 @ (powerset @ X566))))=>(![X496:$i, X497:$i]:(((subset @ X496 @ X497)=>((subset @ X497 @ X496)=>((X496)=(X497)))))=>(![X498:$i]:(((subset @ X498 @ emptyset)=>((X498)=(emptyset))))=>(![X563:$i, X564:$i]:(((subset @ X564 @ X563)=>(in @ X564 @ (powerset @ X563))))=>(![X561:$i, X562:$i]:(((in @ X562 @ (powerset @ X561))=>(subset @ X562 @ X561)))=>(![X560:$i]:((in @ X560 @ (powerset @ X560)))=>(![X558:$i, X559:$i]:(((subset @ X558 @ X559)=>(subset @ (powerset @ X558) @ (powerset @ X559))))=>(![X499:$i, X500:$i > $o]:((in @ (dsetconstr @ X499 @ (^[Z0/* 3 */:$i]:((X500 @ Z0)))) @ (powerset @ X499)))=>(![X501:$i, X502:$i > $o]:((subset @ (dsetconstr @ X501 @ (^[Z0/* 3 */:$i]:((X502 @ Z0)))) @ X501))=>(![X555:$i, X556:$i, X557:$i]:(((in @ X557 @ X555)=>(in @ X557 @ (binunion @ X555 @ X556))))=>(![X503:$i, X504:$i]:((in @ X504 @ (setadjoin @ X503 @ (setadjoin @ X504 @ emptyset))))=>(![X505:$i, X506:$i, X507:$i]:(((in @ X507 @ X506)=>(in @ X507 @ (binunion @ X505 @ X506))))=>(![X508:$i, X509:$i, X510:$i, X511:$o]:(((in @ X510 @ (binunion @ X508 @ X509))=>(((in @ X510 @ X508)=>(X511))=>(((in @ X510 @ X509)=>(X511))=>(X511)))))=>(![X512:$i, X513:$i, X514:$i]:(((in @ X514 @ (binunion @ X512 @ X513))=>((in @ X514 @ X512)|(in @ X514 @ X513))))=>(![X515:$i, X516:$i]:((subset @ X515 @ (binunion @ X515 @ X516)))=>(![X517:$i, X518:$i]:((subset @ X518 @ (binunion @ X517 @ X518)))=>(![X519:$i, X520:$i, X521:$i]:(((in @ X521 @ X519)=>((in @ X521 @ X520)=>(in @ X521 @ (binintersect @ X519 @ X520)))))=>(![X522:$i, X523:$i, X524:$i]:(((subset @ X524 @ X522)=>((subset @ X524 @ X523)=>(subset @ X524 @ (binintersect @ X522 @ X523)))))=>(![X552:$i, X553:$i, X554:$i]:(((in @ X554 @ (binintersect @ X552 @ X553))=>(in @ X554 @ X552)))=>(![X525:$i, X526:$i]:((subset @ (binintersect @ X525 @ X526) @ X525))=>(![X550:$i, X551:$i]:(((subset @ X550 @ X551)=>((binintersect @ X550 @ X551)=(X550))))=>(![X548:$i, X549:$i]:((((binintersect @ X548 @ X549)=(X549))=>(subset @ X549 @ X548)))=>(![X545:$i, X546:$i, X547:$i]:(((in @ X547 @ (binintersect @ X545 @ X546))=>(in @ X547 @ X546)))=>(![X542:$i, X543:$i]:((~(?[X544:$i]:(((in @ X544 @ X542)&(in @ X544 @ X543))))=>((binintersect @ X542 @ X543)=(emptyset))))=>(![X527:$i, X528:$i]:((subset @ (binintersect @ X527 @ X528) @ X528))=>(![X540:$i, X541:$i]:(((subset @ X541 @ X540)=>((binintersect @ X540 @ X541)=(X541))))=>(![X529:$i, X530:$i]:((((binintersect @ X529 @ X530)=(X529))=>(subset @ X529 @ X530)))=>(![X537:$i, X538:$i, X539:$i]:(((binintersect @ X537 @ (binunion @ X538 @ X539))=(binunion @ (binintersect @ X537 @ X538) @ (binintersect @ X537 @ X539))))=>(![X534:$i, X535:$i, X536:$i]:(((in @ X536 @ X534)=>(~(in @ X536 @ X535)=>(in @ X536 @ (setminus @ X534 @ X535)))))=>(![X531:$i, X532:$i, X533:$i]:(((in @ X533 @ (setminus @ X531 @ X532))=>(in @ X533 @ X531)))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~(in @ X2 @ 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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[setminusER]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_138]), foundationAx]), wellorderingAx]), c_0_139]), c_0_140]), c_0_141]), c_0_142]), c_0_143]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_144]), setext]), emptyI]), noeltsimpempty]), c_0_145]), c_0_146]), c_0_147]), c_0_148]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_149]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_150]), c_0_151]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_152]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_153]), c_0_154]), c_0_155]), inCongP]), in__Cong]), c_0_156]), c_0_157]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_158]), c_0_159]), c_0_160]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_161]), c_0_162]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL])]), c_0_163])). 0.22/0.58 thf(c_0_165, plain, ![X713:$i, X714:$i]:(((setminus @ X713 @ X714)=(dsetconstr @ X713 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X714))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[setminus])])). 0.22/0.58 thf(c_0_166, negated_conjecture, ![X717:$i, X718:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X730:$i, X731:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X739:$i, X740:$i > $i > $o, X741:$i, X743:$i, X746:$i, X748:$i, X749:$i, X750:$i, X751:$i, X753:$i, X754:$i > $o, X755:$i, X757:$i, X758:$i > $o, X759:$i, X760:$i, X761:$i > $o, X762:$i, X763:$i, X764:$i > $o, X765:$i, X766:$i > $o, X767:$i, X770:$i, X771:$o, X772:$i, X773:$i, X774:$o, X775:$i, X776:$i, X777:$i > $o, X778:$i, X781:$i, X782:$i, X785:$i, X787:$i, X789:$i, X790:$i > $o, X791:$i, X792:$i, X794:$i, X795:$i > $o, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$o, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$o, X827:$i, X828:$i, X829:$i > $o, X830:$i, X833:$i, X834:$i, X835:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i > $o, X854:$i, X855:$i > $o, X856:$i, X857:$i, X858:$i > $o, X859:$i, X861:$i, X862:$i > $o, X864:$i, X865:$i, X866:$i > $o, X868:$i, X869:$i, X870:$i > $o, X871:$i, X873:$o, X874:$o, X875:$i, X876:$i > $o, X878:$i, X879:$i, X880:$i > $o, X881:$i, X883:$i > $o, X884:$i, X887:$i, X888:$i > $o, X889:$i, X893:$i, X894:$i > $o, X895:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i > $o, X908:$i, X910:$i, X911:$i, X912:$i > $o, X913:$i > $o, X916:$i, X919:$i, X920:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i > $o, X933:$i, X935:$i, X936:$i, X937:$i > $o, X938:$i > $o, X941:$i, X943:$i, X945:$i, X946:$i, X947:$i > $o, X948:$i > $o, X951:$i, X952:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i > $o, X999:$i, X1000:$i > $o, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$o, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i]:((((~(in @ (esk1_2 @ X717 @ X718) @ X717)|~(in @ (esk1_2 @ X717 @ X718) @ X718)|((X717)=(X718)))&((in @ (esk1_2 @ X717 @ X718) @ X717)|(in @ (esk1_2 @ X717 @ X718) @ X718)|((X717)=(X718))))&(~(in @ X720 @ emptyset)&(((~(in @ X723 @ (setadjoin @ X721 @ X722))|(((X723)=(X721))|(in @ X723 @ X722)))&((((X723)!=(X721))|(in @ X723 @ (setadjoin @ X721 @ X722)))&(~(in @ X723 @ X722)|(in @ X723 @ (setadjoin @ X721 @ X722)))))&(((~(in @ X725 @ (powerset @ X724))|(~(in @ X726 @ X725)|(in @ X726 @ X724)))&(((in @ (esk2_2 @ X727 @ X728) @ X728)|(in @ X728 @ (powerset @ X727)))&(~(in @ (esk2_2 @ X727 @ X728) @ X727)|(in @ X728 @ (powerset @ X727)))))&(((((in @ X731 @ (esk3_2 @ X730 @ X731))|~(in @ X731 @ (setunion @ X730)))&((in @ (esk3_2 @ X730 @ X731) @ X730)|~(in @ X731 @ (setunion @ X730))))&(~(in @ X734 @ X735)|~(in @ X735 @ X733)|(in @ X734 @ (setunion @ X733))))&((in @ emptyset @ omega)&((~(in @ X736 @ omega)|(in @ (setadjoin @ X736 @ X736) @ omega))&(((((in @ (esk4_1 @ X737) @ omega)|~(in @ emptyset @ X737)|(~(in @ X739 @ omega)|(in @ X739 @ X737)))&((in @ (esk4_1 @ X737) @ X737)|~(in @ emptyset @ X737)|(~(in @ X739 @ omega)|(in @ X739 @ X737))))&(~(in @ (setadjoin @ (esk4_1 @ X737) @ (esk4_1 @ X737)) @ X737)|~(in @ emptyset @ X737)|(~(in @ X739 @ omega)|(in @ X739 @ X737))))&((((((in @ (esk8_3 @ X740 @ X741 @ X746) @ X741)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|(in @ (esk5_2 @ X740 @ X741) @ X741))&((X740 @ (esk8_3 @ X740 @ X741 @ X746) @ X746)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|(in @ (esk5_2 @ X740 @ X741) @ X741)))&(~(in @ X749 @ X741)|~(X740 @ X749 @ X748)|(in @ X748 @ (esk7_2 @ X740 @ X741))|(in @ (esk5_2 @ X740 @ X741) @ X741)))&(((((in @ (esk8_3 @ X740 @ X741 @ X746) @ X741)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|((X740 @ (esk5_2 @ X740 @ X741) @ (esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743)))&((X740 @ (esk8_3 @ X740 @ X741 @ X746) @ X746)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|((X740 @ (esk5_2 @ X740 @ X741) @ (esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743))))&(~(in @ X749 @ X741)|~(X740 @ X749 @ X748)|(in @ X748 @ (esk7_2 @ X740 @ X741))|((X740 @ (esk5_2 @ X740 @ X741) @ (esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743))))&((((in @ (esk8_3 @ X740 @ X741 @ X746) @ X741)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|(((X743)!=(esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743)))&((X740 @ (esk8_3 @ X740 @ X741 @ X746) @ X746)|~(in @ X746 @ (esk7_2 @ X740 @ X741))|(((X743)!=(esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743))))&(~(in @ X749 @ X741)|~(X740 @ X749 @ X748)|(in @ X748 @ (esk7_2 @ X740 @ X741))|(((X743)!=(esk6_3 @ X740 @ X741 @ X743))|~(X740 @ (esk5_2 @ X740 @ X741) @ X743))))))&((((in @ (esk9_1 @ X750) @ X750)|~(in @ X751 @ X750))&(~(in @ X753 @ (esk9_1 @ X750))|~(in @ X753 @ X750)|~(in @ X751 @ X750)))&((epred1_0)&((((X754 @ (esk10_2 @ X754 @ X755))|~(X754 @ X755)|(X754 @ (descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0))))))&(((X755)!=(esk10_2 @ X754 @ X755))|~(X754 @ X755)|(X754 @ (descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))))&((~(in @ X759 @ X757)|(~(X758 @ X759)|(in @ X759 @ (dsetconstr @ X757 @ (^[Z0/* 3 */:$i]:((X758 @ Z0)))))))&((~(in @ X762 @ (dsetconstr @ X760 @ (^[Z0/* 3 */:$i]:((X761 @ Z0)))))|(in @ X762 @ X760))&((~(in @ X765 @ (dsetconstr @ X763 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|(X764 @ X765))&(((((X766 @ (esk12_1 @ X766))|((X766 @ (esk11_2 @ X766 @ X767))|~(X766 @ X767)))&(~(X766 @ X770)|((esk12_1 @ X766)=(X770))|((X766 @ (esk11_2 @ X766 @ X767))|~(X766 @ X767))))&(((X766 @ (esk12_1 @ X766))|(((X767)!=(esk11_2 @ X766 @ X767))|~(X766 @ X767)))&(~(X766 @ X770)|((esk12_1 @ X766)=(X770))|(((X767)!=(esk11_2 @ X766 @ X767))|~(X766 @ X767)))))&((~(in @ X772 @ (prop2set @ ((X771))))|(X771))&((~(in @ X773 @ emptyset)|(X774))&(~(in @ X775 @ emptyset)&(~(in @ X776 @ emptyset)&((((X777 @ (esk13_2 @ X777 @ X778))|~(X777 @ X778)|(X777 @ (esk14_1 @ X777)))&(((X778)!=(esk13_2 @ X777 @ X778))|~(X777 @ X778)|(X777 @ (esk14_1 @ X777))))&(((((in @ (esk16_2 @ X781 @ X782) @ X782)|((X781)=(X782))|(in @ (esk15_2 @ X781 @ X782) @ X781))&(~(in @ (esk16_2 @ X781 @ X782) @ X781)|((X781)=(X782))|(in @ (esk15_2 @ X781 @ X782) @ X781)))&(((in @ (esk16_2 @ X781 @ X782) @ X782)|((X781)=(X782))|~(in @ (esk15_2 @ X781 @ X782) @ X782))&(~(in @ (esk16_2 @ X781 @ X782) @ X781)|((X781)=(X782))|~(in @ (esk15_2 @ X781 @ X782) @ X782))))&(((in @ (esk17_1 @ X785) @ X785)|((X785)=(emptyset)))&(((in @ (esk18_1 @ X787) @ X787)|((X787)=(emptyset)))&(((~(in @ X791 @ (dsetconstr @ X789 @ (^[Z0/* 3 */:$i]:((X790 @ Z0)))))|(X790 @ X791)|~(in @ X791 @ X789))&(~(X790 @ X791)|(in @ X791 @ (dsetconstr @ X789 @ (^[Z0/* 3 */:$i]:((X790 @ Z0)))))|~(in @ X791 @ X789)))&((((X792)=(emptyset))|(in @ (esk19_1 @ X792) @ X792))&((~(in @ X796 @ X794)|(~(X795 @ X796)|((dsetconstr @ X794 @ (^[Z0/* 3 */:$i]:((X795 @ Z0))))!=(emptyset))))&((~(in @ X798 @ X797)|((X797)!=(emptyset)))&((in @ X799 @ (setadjoin @ X799 @ X800))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X803 @ X802)|(in @ X803 @ (setadjoin @ X801 @ X802)))&(((((in @ X806 @ X805)|(X807)|((X806)=(X804))|~(in @ X806 @ (setadjoin @ X804 @ X805)))&(~(X807)|(X807)|((X806)=(X804))|~(in @ X806 @ (setadjoin @ X804 @ X805))))&(((in @ X806 @ X805)|(X807)|~(X807)|~(in @ X806 @ (setadjoin @ X804 @ X805)))&(~(X807)|(X807)|~(X807)|~(in @ X806 @ (setadjoin @ X804 @ X805)))))&((~(in @ X810 @ (setadjoin @ X808 @ X809))|(((X810)=(X808))|(in @ X810 @ X809)))&(((dsetconstr @ X811 @ (^[Z0/* 3 */:$i]:(($true))))=(X811))&((((in @ (esk20_2 @ X812 @ X813) @ X813)|(in @ X813 @ (powerset @ X812)))&(~(in @ (esk20_2 @ X812 @ X813) @ X812)|(in @ X813 @ (powerset @ X812))))&((in @ emptyset @ (powerset @ X815))&((in @ emptyset @ (powerset @ X816))&((~(in @ X818 @ (powerset @ X817))|(~(in @ X819 @ X818)|(in @ X819 @ X817)))&((~(in @ X821 @ X822)|(~(in @ X822 @ X820)|(in @ X821 @ (setunion @ X820))))&((((in @ X824 @ (esk21_3 @ X823 @ X824 @ X825))|(X825)|~(in @ X824 @ (setunion @ X823)))&(((in @ (esk21_3 @ X823 @ X824 @ X825) @ X823)|(X825)|~(in @ X824 @ (setunion @ X823)))&(~(X825)|(X825)|~(in @ X824 @ (setunion @ X823)))))&((~(in @ X828 @ X827)|(in @ X828 @ (powerset @ (setunion @ X827))))&((((~(X829 @ X833)|((X833)=(esk23_1 @ X829))|((X829 @ (esk22_2 @ X829 @ X830))|~(X829 @ X830)))&(((X834)!=(esk23_1 @ X829))|(X829 @ X834)|((X829 @ (esk22_2 @ X829 @ X830))|~(X829 @ X830))))&((~(X829 @ X833)|((X833)=(esk23_1 @ X829))|(((X830)!=(esk22_2 @ X829 @ X830))|~(X829 @ X830)))&(((X834)!=(esk23_1 @ X829))|(X829 @ X834)|(((X830)!=(esk22_2 @ X829 @ X830))|~(X829 @ X830)))))&((((X835)=(emptyset))|(in @ (esk24_1 @ X835) @ X835))&((~(in @ X837 @ (setadjoin @ X838 @ emptyset))|((X837)=(X838)))&((((X839)=(X840))|~(in @ X840 @ (setadjoin @ X839 @ emptyset)))&((((X841)!=(X842))|(in @ X841 @ (setadjoin @ X842 @ emptyset)))&((~(in @ X843 @ (setadjoin @ X844 @ emptyset))|(in @ X844 @ (setadjoin @ X843 @ emptyset)))&((~(in @ X847 @ (setadjoin @ X845 @ (setadjoin @ X846 @ emptyset)))|(((X847)=(X845))|((X847)=(X846))))&((in @ X848 @ (setadjoin @ X848 @ (setadjoin @ X849 @ emptyset)))&((in @ X851 @ (setadjoin @ X850 @ (setadjoin @ X851 @ emptyset)))&((~(in @ X854 @ X852)|~(X853 @ X854)|((dsetconstr @ X852 @ (^[Z0/* 3 */:$i]:((X853 @ Z0))))!=(emptyset)))&((~(in @ X856 @ emptyset)|(X855 @ X856))&((((in @ (esk25_2 @ X857 @ X858) @ X857)|(~(in @ X859 @ X857)|(X858 @ X859)))&(~(X858 @ (esk25_2 @ X857 @ X858))|(~(in @ X859 @ X857)|(X858 @ X859))))&((((in @ (esk26_2 @ X861 @ X862) @ X861)|(~(in @ X864 @ X861)|~(X862 @ X864)))&((X862 @ (esk26_2 @ X861 @ X862))|(~(in @ X864 @ X861)|~(X862 @ X864))))&((((in @ (esk27_2 @ X865 @ X866) @ X865)|(~(in @ X868 @ X865)|~(X866 @ X868)))&((X866 @ (esk27_2 @ X865 @ X866))|(~(in @ X868 @ X865)|~(X866 @ X868))))&((((in @ (esk28_2 @ X869 @ X870) @ X869)|(~(in @ X871 @ X869)|(X870 @ X871)))&(~(X870 @ (esk28_2 @ X869 @ X870))|(~(in @ X871 @ X869)|(X870 @ X871))))&((~(X873)|(in @ emptyset @ (prop2set @ ((X873)))))&((~(X874)|(set2prop @ (prop2set @ ((X874)))))&((((in @ (esk29_2 @ X875 @ X876) @ X875)|(~(in @ X878 @ X875)|~(X876 @ X878)))&((X876 @ (esk29_2 @ X875 @ X876))|(~(in @ X878 @ X875)|~(X876 @ X878))))&((((in @ (esk30_2 @ X879 @ X880) @ X879)|(~(in @ X881 @ X879)|(X880 @ X881)))&(~(X880 @ (esk30_2 @ X879 @ X880))|(~(in @ X881 @ X879)|(X880 @ X881))))&(((((X883 @ (esk32_1 @ X883))|((X883 @ (esk31_2 @ X883 @ X884))|~(X883 @ X884)))&(~(X883 @ X887)|((esk32_1 @ X883)=(X887))|((X883 @ (esk31_2 @ X883 @ X884))|~(X883 @ X884))))&(((X883 @ (esk32_1 @ X883))|(((X884)!=(esk31_2 @ X883 @ X884))|~(X883 @ X884)))&(~(X883 @ X887)|((esk32_1 @ X883)=(X887))|(((X884)!=(esk31_2 @ X883 @ X884))|~(X883 @ X884)))))&(((((X888 @ (esk35_1 @ X888))|(X888 @ (esk33_1 @ X888))|~(X888 @ X889))&(~(X888 @ X893)|((esk35_1 @ X888)=(X893))|(X888 @ (esk33_1 @ X888))|~(X888 @ X889)))&((((X888 @ (esk35_1 @ X888))|(X888 @ (esk34_1 @ X888))|~(X888 @ X889))&(~(X888 @ X893)|((esk35_1 @ X888)=(X893))|(X888 @ (esk34_1 @ X888))|~(X888 @ X889)))&(((X888 @ (esk35_1 @ X888))|((esk33_1 @ X888)!=(esk34_1 @ X888))|~(X888 @ X889))&(~(X888 @ X893)|((esk35_1 @ X888)=(X893))|((esk33_1 @ X888)!=(esk34_1 @ X888))|~(X888 @ X889)))))&(((((X894 @ (esk37_1 @ X894))|(~(X894 @ (esk36_2 @ X894 @ X895))|((esk36_2 @ X894 @ X895)!=(X895))))&(~(X894 @ X898)|((esk37_1 @ X894)=(X898))|(~(X894 @ (esk36_2 @ X894 @ X895))|((esk36_2 @ X894 @ X895)!=(X895)))))&(((X894 @ (esk37_1 @ X894))|((X894 @ (esk36_2 @ X894 @ X895))|((esk36_2 @ X894 @ X895)=(X895))))&(~(X894 @ X898)|((esk37_1 @ X894)=(X898))|((X894 @ (esk36_2 @ X894 @ X895))|((esk36_2 @ X894 @ X895)=(X895))))))&((((X899)!=(X900))|(((X901)!=(X902))|(~(in @ X901 @ X899)|(in @ X902 @ X900))))&(((~(in @ X905 @ X903)|(in @ X906 @ X904)|((X905)!=(X906))|((X903)!=(X904)))&(~(in @ X906 @ X904)|(in @ X905 @ X903)|((X905)!=(X906))|((X903)!=(X904))))&((((X907 @ (esk38_2 @ X907 @ X908))|~(X907 @ X908)|(~(X907 @ X910)|(~(X907 @ X911)|((X910)=(X911)))))&(((X908)!=(esk38_2 @ X907 @ X908))|~(X907 @ X908)|(~(X907 @ X910)|(~(X907 @ X911)|((X910)=(X911))))))&(((((((X913 @ (esk42_2 @ X912 @ X913))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913)))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913))))&(((X913 @ (esk42_2 @ X912 @ X913))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913)))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913)))))&((((X912 @ (esk44_2 @ X912 @ X913))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913)))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913))))&(((X912 @ (esk44_2 @ X912 @ X913))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913)))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((esk39_2 @ X912 @ X913)=(esk40_2 @ X912 @ X913))))))&((((((X913 @ (esk42_2 @ X912 @ X913))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913))))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913)))))&(((X913 @ (esk42_2 @ X912 @ X913))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913))))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913))))))&((((X912 @ (esk44_2 @ X912 @ X913))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913))))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913)))))&(((X912 @ (esk44_2 @ X912 @ X913))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913))))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|(~(X912 @ (esk39_2 @ X912 @ X913))|~(X913 @ (esk40_2 @ X912 @ X913)))))))&(((((X913 @ (esk42_2 @ X912 @ X913))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913))))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|((X912 @ (esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913)))))&(((X913 @ (esk42_2 @ X912 @ X913))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913))))&(~(X913 @ X919)|((esk42_2 @ X912 @ X913)=(X919))|(((X916)!=(esk41_3 @ X912 @ X913 @ X916))|~(X912 @ X916))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913))))))&((((X912 @ (esk44_2 @ X912 @ X913))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913))))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|((X913 @ (esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913)))))&(((X912 @ (esk44_2 @ X912 @ X913))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913))))&(~(X912 @ X923)|((esk44_2 @ X912 @ X913)=(X923))|(((X920)!=(esk43_3 @ X912 @ X913 @ X920))|~(X913 @ X920))|((X912 @ (esk39_2 @ X912 @ X913))|(X913 @ (esk40_2 @ X912 @ X913)))))))))&(((emptyset)=(emptyset))&((((X924)!=(X925))|(((X926)!=(X927))|((setadjoin @ X924 @ X926)=(setadjoin @ X925 @ X927))))&((((X928)!=(X929))|((powerset @ X928)=(powerset @ X929)))&((((X930)!=(X931))|((setunion @ X930)=(setunion @ X931)))&(((omega)=(omega))&((((X932 @ (esk45_2 @ X932 @ X933))|~(X932 @ X933)|(~(X932 @ X935)|(~(X932 @ X936)|((X935)=(X936)))))&(((X933)!=(esk45_2 @ X932 @ X933))|~(X932 @ X933)|(~(X932 @ X935)|(~(X932 @ X936)|((X935)=(X936))))))&((((((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((esk46_2 @ X937 @ X938)=(esk47_2 @ X937 @ X938)))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((esk46_2 @ X937 @ X938)=(esk47_2 @ X937 @ X938))))&(((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((esk46_2 @ X937 @ X938)=(esk47_2 @ X937 @ X938)))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((esk46_2 @ X937 @ X938)=(esk47_2 @ X937 @ X938)))))&(((((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|(~(X937 @ (esk46_2 @ X937 @ X938))|~(X938 @ (esk47_2 @ X937 @ X938))))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|(~(X937 @ (esk46_2 @ X937 @ X938))|~(X938 @ (esk47_2 @ X937 @ X938)))))&(((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|(~(X937 @ (esk46_2 @ X937 @ X938))|~(X938 @ (esk47_2 @ X937 @ X938))))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|(~(X937 @ (esk46_2 @ X937 @ X938))|~(X938 @ (esk47_2 @ X937 @ X938))))))&((((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((X937 @ (esk46_2 @ X937 @ X938))|(X938 @ (esk47_2 @ X937 @ X938))))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|((X937 @ (esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((X937 @ (esk46_2 @ X937 @ X938))|(X938 @ (esk47_2 @ X937 @ X938)))))&(((X938 @ (esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((X937 @ (esk46_2 @ X937 @ X938))|(X938 @ (esk47_2 @ X937 @ X938))))&(((X943)!=(esk49_3 @ X937 @ X938 @ X943))|~(X938 @ X943)|((descr @ (^[Z0/* 3 */:$i]:((X937 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X938 @ Z0)))))|(((X941)!=(esk48_3 @ X937 @ X938 @ X941))|~(X937 @ X941))|((X937 @ (esk46_2 @ X937 @ X938))|(X938 @ (esk47_2 @ X937 @ X938))))))))&((((in @ (esk50_4 @ X945 @ X946 @ X947 @ X948) @ X945)|((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))|((X945)!=(X946)))&(((in @ (esk51_4 @ X945 @ X946 @ X947 @ X948) @ X946)|((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))|((X945)!=(X946)))&((((esk50_4 @ X945 @ X946 @ X947 @ X948)=(esk51_4 @ X945 @ X946 @ X947 @ X948))|((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))|((X945)!=(X946)))&((~(X947 @ (esk50_4 @ X945 @ X946 @ X947 @ X948))|~(X948 @ (esk51_4 @ X945 @ X946 @ X947 @ X948))|((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))|((X945)!=(X946)))&((X947 @ (esk50_4 @ X945 @ X946 @ X947 @ X948))|(X948 @ (esk51_4 @ X945 @ X946 @ X947 @ X948))|((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))|((X945)!=(X946)))))))&((((in @ (esk52_2 @ X951 @ X952) @ X951)|(subset @ X951 @ X952))&(~(in @ (esk52_2 @ X951 @ X952) @ X952)|(subset @ X951 @ X952)))&((((X954)!=(X955))|(subset @ X955 @ X954))&((((X956)!=(X957))|(subset @ X956 @ X957))&((((in @ (esk53_2 @ X958 @ X959) @ X958)|(subset @ X958 @ X959))&(~(in @ (esk53_2 @ X958 @ X959) @ X959)|(subset @ X958 @ X959)))&((subset @ emptyset @ X961)&((~(subset @ X962 @ X963)|(~(in @ X964 @ X962)|(in @ X964 @ X963)))&((~(subset @ X965 @ X966)|((in @ X967 @ X966)|~(in @ X967 @ X965)))&((~(in @ X970 @ X968)|((in @ X970 @ X969)|~(subset @ X968 @ X969)))&(((subset @ X971 @ X972)|((X971)!=(X972)))&((~(in @ X975 @ X973)|((in @ X975 @ X974)|((X973)!=(X974))))&((subset @ X976 @ X976)&((~(subset @ X977 @ X978)|(~(subset @ X978 @ X979)|(subset @ X977 @ X979)))&((subset @ X981 @ (setadjoin @ X980 @ X981))&((~(subset @ X982 @ X984)|(subset @ X982 @ (setadjoin @ X983 @ X984)))&((~(subset @ X985 @ X986)|(in @ X985 @ (powerset @ X986)))&((~(subset @ X987 @ X988)|(~(subset @ X988 @ X987)|((X987)=(X988))))&((~(subset @ X989 @ emptyset)|((X989)=(emptyset)))&((~(subset @ X991 @ X990)|(in @ X991 @ (powerset @ X990)))&((~(in @ X993 @ (powerset @ X992))|(subset @ X993 @ X992))&((in @ X994 @ (powerset @ X994))&((~(subset @ X995 @ X996)|(subset @ (powerset @ X995) @ (powerset @ X996)))&((in @ (dsetconstr @ X997 @ (^[Z0/* 3 */:$i]:((X998 @ Z0)))) @ (powerset @ X997))&((subset @ (dsetconstr @ X999 @ (^[Z0/* 3 */:$i]:((X1000 @ Z0)))) @ X999)&((~(in @ X1003 @ X1001)|(in @ X1003 @ (binunion @ X1001 @ X1002)))&((in @ X1005 @ (setadjoin @ X1004 @ (setadjoin @ X1005 @ emptyset)))&((~(in @ X1008 @ X1007)|(in @ X1008 @ (binunion @ X1006 @ X1007)))&(((((in @ X1011 @ X1010)|(X1012)|(in @ X1011 @ X1009)|~(in @ X1011 @ (binunion @ X1009 @ X1010)))&(~(X1012)|(X1012)|(in @ X1011 @ X1009)|~(in @ X1011 @ (binunion @ X1009 @ X1010))))&(((in @ X1011 @ X1010)|(X1012)|~(X1012)|~(in @ X1011 @ (binunion @ X1009 @ X1010)))&(~(X1012)|(X1012)|~(X1012)|~(in @ X1011 @ (binunion @ X1009 @ X1010)))))&((~(in @ X1015 @ (binunion @ X1013 @ X1014))|((in @ X1015 @ X1013)|(in @ X1015 @ X1014)))&((subset @ X1016 @ (binunion @ X1016 @ X1017))&((subset @ X1019 @ (binunion @ X1018 @ X1019))&((~(in @ X1022 @ X1020)|(~(in @ X1022 @ X1021)|(in @ X1022 @ (binintersect @ X1020 @ X1021))))&((~(subset @ X1025 @ X1023)|(~(subset @ X1025 @ X1024)|(subset @ X1025 @ (binintersect @ X1023 @ X1024))))&((~(in @ X1028 @ (binintersect @ X1026 @ X1027))|(in @ X1028 @ X1026))&((subset @ (binintersect @ X1029 @ X1030) @ X1029)&((~(subset @ X1031 @ X1032)|((binintersect @ X1031 @ X1032)=(X1031)))&((((binintersect @ X1033 @ X1034)!=(X1034))|(subset @ X1034 @ X1033))&((~(in @ X1037 @ (binintersect @ X1035 @ X1036))|(in @ X1037 @ X1036))&((((in @ (esk54_2 @ X1038 @ X1039) @ X1038)|((binintersect @ X1038 @ X1039)=(emptyset)))&((in @ (esk54_2 @ X1038 @ X1039) @ X1039)|((binintersect @ X1038 @ X1039)=(emptyset))))&((subset @ (binintersect @ X1041 @ X1042) @ X1042)&((~(subset @ X1044 @ X1043)|((binintersect @ X1043 @ X1044)=(X1044)))&((((binintersect @ X1045 @ X1046)!=(X1045))|(subset @ X1045 @ X1046))&(((binintersect @ X1047 @ (binunion @ X1048 @ X1049))=(binunion @ (binintersect @ X1047 @ X1048) @ (binintersect @ X1047 @ X1049)))&((~(in @ X1052 @ X1050)|((in @ X1052 @ X1051)|(in @ X1052 @ (setminus @ X1050 @ X1051))))&((~(in @ X1055 @ (setminus @ X1053 @ X1054))|(in @ X1055 @ X1053))&((in @ esk57_0 @ (setminus @ esk55_0 @ esk56_0))&(in @ esk57_0 @ esk56_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_164])])])])])])). 0.22/0.58 thf(c_0_167, plain, ![X715:$i, X716:$i]:(((setminus @ X715 @ X716)=(dsetconstr @ X715 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X716))))))), inference(variable_rename,[status(thm)],[c_0_165])). 0.22/0.58 thf(c_0_168, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_166])). 0.22/0.58 thf(c_0_169, plain, ![X2:$i, X3:$i]:(((setminus @ X2 @ X3)=(dsetconstr @ X2 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X3))))))), inference(split_conjunct,[status(thm)],[c_0_167])). 0.22/0.58 thf(c_0_170, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((~((in @ X2 @ (setminus @ X3 @ X4)))|~((in @ X2 @ X4)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169])])). 0.22/0.58 thf(c_0_171, negated_conjecture, (in @ esk57_0 @ (setminus @ esk55_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_166])). 0.22/0.58 thf(c_0_172, negated_conjecture, (in @ esk57_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_166])). 0.22/0.58 thf(c_0_173, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_171]), c_0_172])]), ['proof']). 0.22/0.58 # SZS output end CNFRefutation 0.22/0.58 # Parsed axioms : 261 0.22/0.58 # Removed by relevancy pruning/SinE : 0 0.22/0.58 # Initial clauses : 373 0.22/0.58 # Removed in clause preprocessing : 154 0.22/0.58 # Initial clauses in saturation : 219 0.22/0.58 # Processed clauses : 287 0.22/0.58 # ...of these trivial : 4 0.22/0.58 # ...subsumed : 22 0.22/0.58 # ...remaining for further processing : 261 0.22/0.58 # Other redundant clauses eliminated : 16 0.22/0.58 # Clauses deleted for lack of memory : 0 0.22/0.58 # Backward-subsumed : 0 0.22/0.58 # Backward-rewritten : 2 0.22/0.58 # Generated clauses : 108 0.22/0.58 # ...of the previous two non-redundant : 73 0.22/0.58 # ...aggressively subsumed : 0 0.22/0.58 # Contextual simplify-reflections : 0 0.22/0.58 # Paramodulations : 92 0.22/0.58 # Factorizations : 0 0.22/0.58 # NegExts : 0 0.22/0.58 # Equation resolutions : 16 0.22/0.58 # Total rewrite steps : 47 0.22/0.58 # Propositional unsat checks : 0 0.22/0.58 # Propositional check models : 0 0.22/0.58 # Propositional check unsatisfiable : 0 0.22/0.58 # Propositional clauses : 0 0.22/0.58 # Propositional clauses after purity: 0 0.22/0.58 # Propositional unsat core size : 0 0.22/0.58 # Propositional preprocessing time : 0.000 0.22/0.58 # Propositional encoding time : 0.000 0.22/0.58 # Propositional solver time : 0.000 0.22/0.58 # Success case prop preproc time : 0.000 0.22/0.58 # Success case prop encoding time : 0.000 0.22/0.58 # Success case prop solver time : 0.000 0.22/0.58 # Current number of processed clauses : 54 0.22/0.58 # Positive orientable unit clauses : 28 0.22/0.58 # Positive unorientable unit clauses: 0 0.22/0.58 # Negative unit clauses : 1 0.22/0.58 # Non-unit-clauses : 25 0.22/0.58 # Current number of unprocessed clauses: 196 0.22/0.58 # ...number of literals in the above : 653 0.22/0.58 # Current number of archived formulas : 0 0.22/0.58 # Current number of archived clauses : 194 0.22/0.58 # Clause-clause subsumption calls (NU) : 5274 0.22/0.58 # Rec. Clause-clause subsumption calls : 1427 0.22/0.58 # Non-unit clause-clause subsumptions : 16 0.22/0.58 # Unit Clause-clause subsumption calls : 26 0.22/0.58 # Rewrite failures with RHS unbound : 0 0.22/0.58 # BW rewrite match attempts : 12 0.22/0.58 # BW rewrite match successes : 2 0.22/0.58 # Condensation attempts : 287 0.22/0.58 # Condensation successes : 3 0.22/0.58 # Termbank termtop insertions : 33665 0.22/0.58 0.22/0.58 # ------------------------------------------------- 0.22/0.58 # User time : 0.052 s 0.22/0.58 # System time : 0.008 s 0.22/0.58 # Total time : 0.060 s 0.22/0.58 # Maximum resident set size: 4572 pages 0.74/180.02 0.74/180.02 # ------------------------------------------------- 0.74/180.02 # User time : 0.057 s 0.74/180.02 # System time : 0.012 s 0.74/180.02 # Total time : 0.069 s 0.74/180.02 # Maximum resident set size: 2076 pages 0.74/180.02 % E---3.1 exiting 0.74/180.02 EOF