0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.20/0.45 % Computer : n021.cluster.edu 0.20/0.45 % Model : x86_64 x86_64 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.45 % Memory : 8046.5625MB 0.20/0.45 % OS : Linux 6.8.0-71-generic 0.20/0.45 % CPULimit : 1440 0.20/0.45 % WCLimit : 180 0.20/0.45 % DateTime : Mon Jul 27 09:15:52 UTC 2026 0.20/0.46 % CPUTime : 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.24/0.55 Running higher-order theorem proving 0.24/0.65 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p 126.09/18.81 % Version: 3.5.1-ho 126.09/18.81 % Preprocessing class: HSLMSLSSLLLCHFA. 126.09/18.81 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 126.09/18.81 % Starting ehoh_best5 with 180s (1) cores 126.09/18.81 % Starting almost_fo_3_lam with 180s (1) cores 126.09/18.81 % Starting new_bool_5 with 180s (1) cores 126.09/18.81 % Starting pre_casc_3 with 180s (1) cores 126.09/18.81 % Starting ho_unfolding_8 with 180s (1) cores 126.09/18.81 % Starting new_ho_10_cnf2 with 180s (1) cores 126.09/18.81 % Starting new_bool_3 with 180s (1) cores 126.09/18.81 % Starting new_ho_5 with 180s (1) cores 126.09/18.81 % ho_unfolding_8 with pid 614791 completed with status 0 126.09/18.81 % Result found by ho_unfolding_8 126.09/18.81 % Preprocessing class: HSLMSLSSLLLCHFA. 126.09/18.81 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 126.09/18.81 % Starting ehoh_best5 with 180s (1) cores 126.09/18.81 % Starting almost_fo_3_lam with 180s (1) cores 126.09/18.81 % Starting new_bool_5 with 180s (1) cores 126.09/18.81 % Starting pre_casc_3 with 180s (1) cores 126.09/18.81 % Starting ho_unfolding_8 with 180s (1) cores 126.09/18.81 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 126.09/18.81 % No SInE strategy applied 126.09/18.81 % Search class: HGHSM-FSLM31-MHFMMSBN 126.09/18.81 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 126.09/18.81 % Starting SubtermCWHack with 17s (1) cores 126.09/18.81 % SubtermCWHack with pid 614800 completed with status 8 126.09/18.81 % Starting ho_unfolding_8 with 19s (1) cores 126.09/18.81 % ho_unfolding_8 with pid 614810 completed with status 0 126.09/18.81 % Result found by ho_unfolding_8 126.09/18.81 % Preprocessing class: HSLMSLSSLLLCHFA. 126.09/18.81 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 126.09/18.81 % Starting ehoh_best5 with 180s (1) cores 126.09/18.81 % Starting almost_fo_3_lam with 180s (1) cores 126.09/18.81 % Starting new_bool_5 with 180s (1) cores 126.09/18.81 % Starting pre_casc_3 with 180s (1) cores 126.09/18.81 % Starting ho_unfolding_8 with 180s (1) cores 126.09/18.81 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 126.09/18.81 % No SInE strategy applied 126.09/18.81 % Search class: HGHSM-FSLM31-MHFMMSBN 126.09/18.81 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 126.09/18.81 % Starting SubtermCWHack with 17s (1) cores 126.09/18.81 % SubtermCWHack with pid 614800 completed with status 8 126.09/18.81 % Starting ho_unfolding_8 with 19s (1) cores 126.09/18.81 % Preprocessing time : 0.319 s 126.09/18.81 % Presaturation interreduction done 126.09/18.81 126.09/18.81 % Proof found! 126.09/18.81 % SZS status Theorem 126.09/18.81 % SZS output start CNFRefutation 126.09/18.81 thf(decl_23, type, in: $i > $i > $o). 126.09/18.81 thf(decl_24, type, exu: ($i > $o) > $o). 126.09/18.81 thf(decl_25, type, setextAx: $o). 126.09/18.81 thf(decl_26, type, emptyset: $i). 126.09/18.81 thf(decl_27, type, emptysetAx: $o). 126.09/18.81 thf(decl_28, type, setadjoin: $i > $i > $i). 126.09/18.81 thf(decl_29, type, setadjoinAx: $o). 126.09/18.81 thf(decl_30, type, powerset: $i > $i). 126.09/18.81 thf(decl_31, type, powersetAx: $o). 126.09/18.81 thf(decl_32, type, setunion: $i > $i). 126.09/18.81 thf(decl_33, type, setunionAx: $o). 126.09/18.81 thf(decl_34, type, omega: $i). 126.09/18.81 thf(decl_35, type, omega0Ax: $o). 126.09/18.81 thf(decl_36, type, omegaSAx: $o). 126.09/18.81 thf(decl_37, type, omegaIndAx: $o). 126.09/18.81 thf(decl_38, type, replAx: $o). 126.09/18.81 thf(decl_39, type, foundationAx: $o). 126.09/18.81 thf(decl_40, type, wellorderingAx: $o). 126.09/18.81 thf(decl_41, type, descr: ($i > $o) > $i). 126.09/18.81 thf(decl_42, type, descrp: $o). 126.09/18.81 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i). 126.09/18.81 thf(decl_44, type, dsetconstrI: $o). 126.09/18.81 thf(decl_45, type, dsetconstrEL: $o). 126.09/18.81 thf(decl_46, type, dsetconstrER: $o). 126.09/18.81 thf(decl_47, type, exuE1: $o). 126.09/18.81 thf(decl_48, type, prop2set: $o > $i). 126.09/18.81 thf(decl_49, type, prop2setE: $o). 126.09/18.81 thf(decl_50, type, emptysetE: $o). 126.09/18.81 thf(decl_51, type, emptysetimpfalse: $o). 126.09/18.81 thf(decl_52, type, notinemptyset: $o). 126.09/18.81 thf(decl_53, type, exuE3e: $o). 126.09/18.81 thf(decl_54, type, setext: $o). 126.09/18.81 thf(decl_55, type, emptyI: $o). 126.09/18.81 thf(decl_56, type, noeltsimpempty: $o). 126.09/18.81 thf(decl_57, type, setbeta: $o). 126.09/18.81 thf(decl_58, type, nonempty: $i > $o). 126.09/18.81 thf(decl_59, type, nonemptyE1: $o). 126.09/18.81 thf(decl_60, type, nonemptyI: $o). 126.09/18.81 thf(decl_61, type, nonemptyI1: $o). 126.09/18.81 thf(decl_62, type, setadjoinIL: $o). 126.09/18.81 thf(decl_63, type, emptyinunitempty: $o). 126.09/18.81 thf(decl_64, type, setadjoinIR: $o). 126.09/18.81 thf(decl_65, type, setadjoinE: $o). 126.09/18.81 thf(decl_66, type, setadjoinOr: $o). 126.09/18.81 thf(decl_67, type, setoftrueEq: $o). 126.09/18.81 thf(decl_68, type, powersetI: $o). 126.09/18.81 thf(decl_69, type, emptyinPowerset: $o). 126.09/18.81 thf(decl_70, type, emptyInPowerset: $o). 126.09/18.81 thf(decl_71, type, powersetE: $o). 126.09/18.81 thf(decl_72, type, setunionI: $o). 126.09/18.81 thf(decl_73, type, setunionE: $o). 126.09/18.81 thf(decl_74, type, subPowSU: $o). 126.09/18.81 thf(decl_75, type, exuE2: $o). 126.09/18.81 thf(decl_76, type, nonemptyImpWitness: $o). 126.09/18.81 thf(decl_77, type, uniqinunit: $o). 126.09/18.81 thf(decl_78, type, notinsingleton: $o). 126.09/18.81 thf(decl_79, type, eqinunit: $o). 126.09/18.81 thf(decl_80, type, singletonsswitch: $o). 126.09/18.81 thf(decl_81, type, upairsetE: $o). 126.09/18.81 thf(decl_82, type, upairsetIL: $o). 126.09/18.81 thf(decl_83, type, upairsetIR: $o). 126.09/18.81 thf(decl_84, type, emptyE1: $o). 126.09/18.81 thf(decl_85, type, vacuousDall: $o). 126.09/18.81 thf(decl_86, type, quantDeMorgan1: $o). 126.09/18.81 thf(decl_87, type, quantDeMorgan2: $o). 126.09/18.81 thf(decl_88, type, quantDeMorgan3: $o). 126.09/18.81 thf(decl_89, type, quantDeMorgan4: $o). 126.09/18.81 thf(decl_90, type, prop2setI: $o). 126.09/18.81 thf(decl_91, type, set2prop: $i > $o). 126.09/18.81 thf(decl_92, type, prop2set2propI: $o). 126.09/18.81 thf(decl_93, type, notdexE: $o). 126.09/18.81 thf(decl_94, type, notdallE: $o). 126.09/18.81 thf(decl_95, type, exuI1: $o). 126.09/18.81 thf(decl_96, type, exuI3: $o). 126.09/18.81 thf(decl_97, type, exuI2: $o). 126.09/18.81 thf(decl_98, type, inCongP: $o). 126.09/18.81 thf(decl_99, type, in__Cong: $o). 126.09/18.81 thf(decl_100, type, exuE3u: $o). 126.09/18.81 thf(decl_101, type, exu__Cong: $o). 126.09/18.81 thf(decl_102, type, emptyset__Cong: $o). 126.09/18.81 thf(decl_103, type, setadjoin__Cong: $o). 126.09/18.82 thf(decl_104, type, powerset__Cong: $o). 126.09/18.82 thf(decl_105, type, setunion__Cong: $o). 126.09/18.82 thf(decl_106, type, omega__Cong: $o). 126.09/18.82 thf(decl_107, type, exuEu: $o). 126.09/18.82 thf(decl_108, type, descr__Cong: $o). 126.09/18.82 thf(decl_109, type, dsetconstr__Cong: $o). 126.09/18.82 thf(decl_110, type, subset: $i > $i > $o). 126.09/18.82 thf(decl_113, type, subsetI1: $o). 126.09/18.82 thf(decl_114, type, eqimpsubset2: $o). 126.09/18.82 thf(decl_115, type, eqimpsubset1: $o). 126.09/18.82 thf(decl_116, type, subsetI2: $o). 126.09/18.82 thf(decl_117, type, emptysetsubset: $o). 126.09/18.82 thf(decl_118, type, subsetE: $o). 126.09/18.82 thf(decl_119, type, subsetE2: $o). 126.09/18.82 thf(decl_120, type, notsubsetI: $o). 126.09/18.82 thf(decl_121, type, notequalI1: $o). 126.09/18.82 thf(decl_122, type, notequalI2: $o). 126.09/18.82 thf(decl_123, type, subsetRefl: $o). 126.09/18.82 thf(decl_124, type, subsetTrans: $o). 126.09/18.82 thf(decl_125, type, setadjoinSub: $o). 126.09/18.82 thf(decl_126, type, setadjoinSub2: $o). 126.09/18.82 thf(decl_127, type, subset2powerset: $o). 126.09/18.82 thf(decl_128, type, setextsub: $o). 126.09/18.82 thf(decl_129, type, subsetemptysetimpeq: $o). 126.09/18.82 thf(decl_130, type, powersetI1: $o). 126.09/18.82 thf(decl_131, type, powersetE1: $o). 126.09/18.82 thf(decl_132, type, inPowerset: $o). 126.09/18.82 thf(decl_133, type, powersetsubset: $o). 126.09/18.82 thf(decl_134, type, sepInPowerset: $o). 126.09/18.82 thf(decl_135, type, sepSubset: $o). 126.09/18.82 thf(decl_136, type, binunion: $i > $i > $i). 126.09/18.82 thf(decl_137, type, binunionIL: $o). 126.09/18.82 thf(decl_138, type, upairset2IR: $o). 126.09/18.82 thf(decl_139, type, binunionIR: $o). 126.09/18.82 thf(decl_140, type, binunionEcases: $o). 126.09/18.82 thf(decl_141, type, binunionE: $o). 126.09/18.82 thf(decl_142, type, binunionLsub: $o). 126.09/18.82 thf(decl_143, type, binunionRsub: $o). 126.09/18.82 thf(decl_144, type, binintersect: $i > $i > $i). 126.09/18.82 thf(decl_145, type, binintersectI: $o). 126.09/18.82 thf(decl_146, type, binintersectSubset5: $o). 126.09/18.82 thf(decl_147, type, binintersectEL: $o). 126.09/18.82 thf(decl_148, type, binintersectLsub: $o). 126.09/18.82 thf(decl_149, type, binintersectSubset2: $o). 126.09/18.82 thf(decl_150, type, binintersectSubset3: $o). 126.09/18.82 thf(decl_151, type, binintersectER: $o). 126.09/18.82 thf(decl_152, type, disjointsetsI1: $o). 126.09/18.82 thf(decl_153, type, binintersectRsub: $o). 126.09/18.82 thf(decl_154, type, binintersectSubset4: $o). 126.09/18.82 thf(decl_155, type, binintersectSubset1: $o). 126.09/18.82 thf(decl_156, type, bs114d: $o). 126.09/18.82 thf(decl_158, type, setminus: $i > $i > $i). 126.09/18.82 thf(decl_159, type, setminusI: $o). 126.09/18.82 thf(decl_160, type, setminusEL: $o). 126.09/18.82 thf(decl_161, type, setminusER: $o). 126.09/18.82 thf(decl_162, type, setminusSubset2: $o). 126.09/18.82 thf(decl_163, type, setminusERneg: $o). 126.09/18.82 thf(decl_164, type, setminusELneg: $o). 126.09/18.82 thf(decl_165, type, setminusILneg: $o). 126.09/18.82 thf(decl_166, type, setminusIRneg: $o). 126.09/18.82 thf(decl_167, type, setminusLsub: $o). 126.09/18.82 thf(decl_168, type, setminusSubset1: $o). 126.09/18.82 thf(decl_169, type, symdiff: $i > $i > $i). 126.09/18.82 thf(decl_170, type, symdiffE: $o). 126.09/18.82 thf(decl_171, type, symdiffI1: $o). 126.09/18.82 thf(decl_172, type, symdiffI2: $o). 126.09/18.82 thf(decl_173, type, symdiffIneg1: $o). 126.09/18.82 thf(decl_174, type, symdiffIneg2: $o). 126.09/18.82 thf(decl_175, type, iskpair: $i > $o). 126.09/18.82 thf(decl_176, type, secondinupair: $o). 126.09/18.82 thf(decl_177, type, setukpairIL: $o). 126.09/18.82 thf(decl_178, type, setukpairIR: $o). 126.09/18.82 thf(decl_179, type, kpairiskpair: $o). 126.09/18.82 thf(decl_180, type, kpair: $i > $i > $i). 126.09/18.82 thf(decl_181, type, kpairp: $o). 126.09/18.82 thf(decl_182, type, cartprod: $i > $i > $i). 126.09/18.82 thf(decl_183, type, singletonsubset: $o). 126.09/18.82 thf(decl_184, type, singletoninpowerset: $o). 126.09/18.82 thf(decl_185, type, singletoninpowunion: $o). 126.09/18.82 thf(decl_186, type, upairset2E: $o). 126.09/18.82 thf(decl_187, type, upairsubunion: $o). 126.09/18.82 thf(decl_188, type, upairinpowunion: $o). 126.09/18.82 thf(decl_189, type, ubforcartprodlem1: $o). 126.09/18.82 thf(decl_190, type, ubforcartprodlem2: $o). 126.09/18.82 thf(decl_191, type, ubforcartprodlem3: $o). 126.09/18.82 thf(decl_192, type, cartprodpairin: $o). 126.09/18.82 thf(decl_193, type, cartprodmempair1: $o). 126.09/18.82 thf(decl_194, type, cartprodmempair: $o). 126.09/18.82 thf(decl_195, type, setunionE2: $o). 126.09/18.82 thf(decl_196, type, setunionsingleton1: $o). 126.09/18.82 thf(decl_197, type, setunionsingleton2: $o). 126.09/18.82 thf(decl_198, type, setunionsingleton: $o). 126.09/18.82 thf(decl_199, type, singleton: $i > $o). 126.09/18.82 thf(decl_200, type, singletonprop: $o). 126.09/18.82 thf(decl_201, type, ex1: $i > ($i > $o) > $o). 126.09/18.82 thf(decl_202, type, ex1E1: $o). 126.09/18.82 thf(decl_203, type, ex1I: $o). 126.09/18.82 thf(decl_204, type, ex1I2: $o). 126.09/18.82 thf(decl_205, type, singletonsuniq: $o). 126.09/18.82 thf(decl_210, type, epred1_0: $o). 126.09/18.82 thf(decl_211, type, esk1_2: $i > $i > $i). 126.09/18.82 thf(decl_212, type, esk2_2: $i > $i > $i). 126.09/18.82 thf(decl_213, type, esk3_2: $i > $i > $i). 126.09/18.82 thf(decl_214, type, esk4_1: $i > $i). 126.09/18.82 thf(decl_215, type, esk5_2: ($i > $i > $o) > $i > $i). 126.09/18.82 thf(decl_216, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 126.09/18.82 thf(decl_217, type, esk7_2: ($i > $i > $o) > $i > $i). 126.09/18.82 thf(decl_218, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 126.09/18.82 thf(decl_219, type, esk9_1: $i > $i). 126.09/18.82 thf(decl_220, type, esk10_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_221, type, esk11_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_222, type, esk12_1: ($i > $o) > $i). 126.09/18.82 thf(decl_223, type, esk13_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_224, type, esk14_1: ($i > $o) > $i). 126.09/18.82 thf(decl_225, type, esk15_2: $i > $i > $i). 126.09/18.82 thf(decl_226, type, esk16_2: $i > $i > $i). 126.09/18.82 thf(decl_227, type, esk17_1: $i > $i). 126.09/18.82 thf(decl_228, type, esk18_1: $i > $i). 126.09/18.82 thf(decl_229, type, esk19_1: $i > $i). 126.09/18.82 thf(decl_230, type, esk20_2: $i > $i > $i). 126.09/18.82 thf(decl_231, type, esk21_3: $i > $i > $o > $i). 126.09/18.82 thf(decl_232, type, esk22_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_233, type, esk23_1: ($i > $o) > $i). 126.09/18.82 thf(decl_234, type, esk24_1: $i > $i). 126.09/18.82 thf(decl_235, type, esk25_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_236, type, esk26_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_237, type, esk27_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_238, type, esk28_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_239, type, esk29_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_240, type, esk30_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_241, type, esk31_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_242, type, esk32_1: ($i > $o) > $i). 126.09/18.82 thf(decl_243, type, esk33_1: ($i > $o) > $i). 126.09/18.82 thf(decl_244, type, esk34_1: ($i > $o) > $i). 126.09/18.82 thf(decl_245, type, esk35_1: ($i > $o) > $i). 126.09/18.82 thf(decl_246, type, esk36_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_247, type, esk37_1: ($i > $o) > $i). 126.09/18.82 thf(decl_248, type, esk38_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_249, type, esk39_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_250, type, esk40_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_251, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_252, type, esk42_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_253, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_254, type, esk44_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_255, type, esk45_2: ($i > $o) > $i > $i). 126.09/18.82 thf(decl_256, type, esk46_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_257, type, esk47_2: ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_258, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_259, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_260, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_261, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 126.09/18.82 thf(decl_262, type, esk52_2: $i > $i > $i). 126.09/18.82 thf(decl_263, type, esk53_2: $i > $i > $i). 126.09/18.82 thf(decl_264, type, esk54_2: $i > $i > $i). 126.09/18.82 thf(decl_265, type, esk55_2: $i > $i > $i). 126.09/18.82 thf(decl_266, type, esk56_2: $i > $i > $i). 126.09/18.82 thf(decl_267, type, esk57_2: $i > $i > $i). 126.09/18.82 thf(decl_268, type, esk58_2: $i > $i > $i). 126.09/18.82 thf(decl_269, type, esk59_3: $i > $i > $i > $i). 126.09/18.82 thf(decl_270, type, esk60_3: $i > $i > $i > $i). 126.09/18.82 thf(decl_271, type, esk61_3: $i > $i > $i > $i). 126.09/18.82 thf(decl_272, type, esk62_3: $i > $i > $i > $i). 126.09/18.82 thf(decl_273, type, esk63_2: $i > $i > $i). 126.09/18.82 thf(decl_274, type, esk64_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_275, type, esk65_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_276, type, esk66_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_277, type, esk67_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_278, type, esk68_3: $i > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_279, type, esk69_3: $i > ($i > $o) > $i > $i). 126.09/18.82 thf(decl_280, type, esk70_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_281, type, esk71_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_282, type, esk72_2: $i > ($i > $o) > $i). 126.09/18.82 thf(decl_283, type, esk73_0: $i). 126.09/18.82 thf(decl_284, type, esk74_0: $i). 126.09/18.82 thf(decl_285, type, esk75_0: $i). 126.09/18.82 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ex1)). 126.09/18.82 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singleton)). 126.09/18.82 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', replAx)). 126.09/18.82 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exu)). 126.09/18.82 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', descrp)). 126.09/18.82 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuE1)). 126.09/18.82 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuE3e)). 126.09/18.82 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', nonempty)). 126.09/18.82 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', nonemptyI)). 126.09/18.82 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuE2)). 126.09/18.82 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuI1)). 126.09/18.82 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuI3)). 126.09/18.82 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuI2)). 126.09/18.82 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuE3u)). 126.09/18.82 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exu__Cong)). 126.09/18.82 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', exuEu)). 126.09/18.82 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', descr__Cong)). 126.09/18.82 thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', iskpair)). 126.09/18.82 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletonprop)). 126.09/18.82 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ex1E1)). 126.09/18.82 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ex1I)). 126.09/18.82 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ex1I2)). 126.09/18.82 thf(setukpairinjL1, conjecture, ((((setadjoinAx)=>(((setunionAx)=>((omega0Ax)=>(((((foundationAx)=>(((descrp)=>((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((((((((setadjoinE)=>(((setoftrueEq)=>((((((((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((((((upairsetIL)=>((((vacuousDall)=>((quantDeMorgan1)=>(((quantDeMorgan3)=>((((prop2set2propI)=>((notdexE)=>(((exuI1)=>(((exuI2)=>((inCongP)=>(((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>(((setunion__Cong)=>(((((dsetconstr__Cong)=>((((eqimpsubset1)=>((subsetI2)=>(((subsetE)=>((subsetE2)=>((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>((setadjoinSub2)=>((((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>(((sepInPowerset)=>((sepSubset)=>((((binunionIR)=>(((binunionE)=>((((binintersectI)=>(((binintersectEL)=>(((binintersectSubset2)=>((((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((((setminusI)=>(((setminusER)=>((((((setminusIRneg)=>((setminusLsub)=>(((symdiffE)=>(((symdiffI2)=>((((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>(((upairinpowunion)=>(((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((((setunionE2)=>(((setunionsingleton2)=>((((((![X2:$i, X3:$i, X14:$i]:((((X2)=(X14))<=(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))<=(singletonsuniq))<=(ex1I2))<=(ex1I))<=(ex1E1))<=(singletonprop))<=(setunionsingleton)))<=(setunionsingleton1)))<=(cartprodmempair))<=(cartprodmempair1)))))<=(ubforcartprodlem1)))<=(upairsubunion))))))<=(kpairp))<=(kpairiskpair)))))<=(symdiffIneg2))<=(symdiffIneg1)))<=(symdiffI1)))<=(setminusSubset1))))<=(setminusILneg))<=(setminusELneg))<=(setminusERneg))<=(setminusSubset2)))<=(setminusEL)))<=(bs114d))<=(binintersectSubset1)))))<=(binintersectER))<=(binintersectSubset3)))<=(binintersectLsub)))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases)))<=(upairset2IR))<=(binunionIL))))<=(powersetsubset))))))<=(setextsub))<=(subset2powerset))))<=(subsetTrans)))<=(notequalI2))<=(notequalI1)))))<=(emptysetsubset))))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))))<=(exu__Cong)))<=(in__Cong))))<=(exuI3)))<=(notdallE))))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))))<=(emptyE1))<=(upairsetIR)))<=(upairsetE))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr)))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1)))))))<=(notinemptyset))<=(emptysetimpfalse))))))<=(dsetconstrEL))))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx))))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setukpairinjL1)). 126.09/18.82 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', dsetconstrI)). 126.09/18.82 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', dsetconstrEL)). 126.09/18.82 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', dsetconstrER)). 126.09/18.82 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setbeta)). 126.09/18.82 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', nonemptyE1)). 126.09/18.82 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', nonemptyI1)). 126.09/18.82 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setoftrueEq)). 126.09/18.82 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', nonemptyImpWitness)). 126.09/18.82 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyE1)). 126.09/18.82 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', dsetconstr__Cong)). 126.09/18.82 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', sepInPowerset)). 126.09/18.82 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', sepSubset)). 126.09/18.82 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', kpairiskpair)). 126.09/18.82 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', kpairp)). 126.09/18.82 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', cartprodmempair)). 126.09/18.82 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setextAx)). 126.09/18.82 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptysetAx)). 126.09/18.82 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinAx)). 126.09/18.82 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetAx)). 126.09/18.82 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionAx)). 126.09/18.82 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', omega0Ax)). 126.09/18.82 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', omegaSAx)). 126.09/18.82 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', omegaIndAx)). 126.09/18.82 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', foundationAx)). 126.09/18.82 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', wellorderingAx)). 126.09/18.82 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', prop2setE)). 126.09/18.82 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptysetE)). 126.09/18.82 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptysetimpfalse)). 126.09/18.82 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notinemptyset)). 126.09/18.82 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setext)). 126.09/18.82 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyI)). 126.09/18.82 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', noeltsimpempty)). 126.09/18.82 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinIL)). 126.09/18.82 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyinunitempty)). 126.09/18.82 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinIR)). 126.09/18.82 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinE)). 126.09/18.82 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinOr)). 126.09/18.82 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetI)). 126.09/18.82 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyinPowerset)). 126.09/18.82 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyInPowerset)). 126.09/18.82 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetE)). 126.09/18.82 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionI)). 126.09/18.82 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionE)). 126.09/18.82 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subPowSU)). 126.09/18.82 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', uniqinunit)). 126.09/18.82 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notinsingleton)). 126.09/18.82 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', eqinunit)). 126.09/18.82 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletonsswitch)). 126.09/18.82 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairsetE)). 126.09/18.82 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairsetIL)). 126.09/18.82 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairsetIR)). 126.09/18.82 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', vacuousDall)). 126.09/18.82 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', quantDeMorgan1)). 126.09/18.82 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', quantDeMorgan2)). 126.09/18.82 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', quantDeMorgan3)). 126.09/18.82 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', quantDeMorgan4)). 126.09/18.82 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', prop2setI)). 126.09/18.82 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', prop2set2propI)). 126.09/18.82 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notdexE)). 126.09/18.82 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notdallE)). 126.09/18.82 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', inCongP)). 126.09/18.82 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', in__Cong)). 126.09/18.82 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptyset__Cong)). 126.09/18.82 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoin__Cong)). 126.09/18.82 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powerset__Cong)). 126.09/18.82 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunion__Cong)). 126.09/18.82 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', omega__Cong)). 126.09/18.82 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetI1)). 126.09/18.82 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', eqimpsubset2)). 126.09/18.82 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', eqimpsubset1)). 126.09/18.82 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetI2)). 126.09/18.82 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', emptysetsubset)). 126.09/18.82 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetE)). 126.09/18.82 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetE2)). 126.09/18.82 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notsubsetI)). 126.09/18.82 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notequalI1)). 126.09/18.82 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', notequalI2)). 126.09/18.82 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetRefl)). 126.09/18.82 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetTrans)). 126.09/18.82 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinSub)). 126.09/18.82 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setadjoinSub2)). 126.09/18.82 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subset2powerset)). 126.09/18.82 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setextsub)). 126.09/18.82 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', subsetemptysetimpeq)). 126.09/18.82 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetI1)). 126.09/18.82 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetE1)). 126.09/18.82 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', inPowerset)). 126.09/18.82 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', powersetsubset)). 126.09/18.82 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionIL)). 126.09/18.82 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairset2IR)). 126.09/18.82 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionIR)). 126.09/18.82 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionEcases)). 126.09/18.82 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionE)). 126.09/18.82 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionLsub)). 126.09/18.82 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binunionRsub)). 126.09/18.82 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectI)). 126.09/18.82 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectSubset5)). 126.09/18.82 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectEL)). 126.09/18.82 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectLsub)). 126.09/18.82 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectSubset2)). 126.09/18.82 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectSubset3)). 126.09/18.82 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectER)). 126.09/18.82 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', disjointsetsI1)). 126.09/18.82 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectRsub)). 126.09/18.82 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectSubset4)). 126.09/18.82 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', binintersectSubset1)). 126.09/18.82 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', bs114d)). 126.09/18.82 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusI)). 126.09/18.82 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusEL)). 126.09/18.82 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusER)). 126.09/18.82 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusSubset2)). 126.09/18.82 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusERneg)). 126.09/18.82 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusELneg)). 126.09/18.82 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusILneg)). 126.09/18.82 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusIRneg)). 126.09/18.82 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusLsub)). 126.09/18.82 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setminusSubset1)). 126.09/18.82 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', symdiffE)). 126.09/18.82 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', symdiffI1)). 126.09/18.82 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', symdiffI2)). 126.09/18.82 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', symdiffIneg1)). 126.09/18.82 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', symdiffIneg2)). 126.09/18.82 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', secondinupair)). 126.09/18.82 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setukpairIL)). 126.09/18.82 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setukpairIR)). 126.09/18.82 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletonsubset)). 126.09/18.82 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletoninpowerset)). 126.09/18.82 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletoninpowunion)). 126.09/18.82 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairset2E)). 126.09/18.82 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairsubunion)). 126.09/18.82 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', upairinpowunion)). 126.09/18.82 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ubforcartprodlem1)). 126.09/18.82 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ubforcartprodlem2)). 126.09/18.82 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', ubforcartprodlem3)). 126.09/18.82 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', cartprodpairin)). 126.09/18.82 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', cartprodmempair1)). 126.09/18.82 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionE2)). 126.09/18.82 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionsingleton1)). 126.09/18.82 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionsingleton2)). 126.09/18.82 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', setunionsingleton)). 126.09/18.82 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.rjG1j1E2gw/E---3.1_614774.p', singletonsuniq)). 126.09/18.82 thf(c_0_164, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X491:$i]:((((in @ X491 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X491 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])). 126.09/18.82 thf(c_0_165, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])). 126.09/18.82 thf(c_0_166, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 126.09/18.82 thf(c_0_167, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])). 126.09/18.82 thf(c_0_168, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 126.09/18.82 thf(c_0_169, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 126.09/18.82 thf(c_0_170, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 126.09/18.82 thf(c_0_171, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 126.09/18.82 thf(c_0_172, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 126.09/18.82 thf(c_0_173, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 126.09/18.82 thf(c_0_174, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 126.09/18.82 thf(c_0_175, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 126.09/18.82 thf(c_0_176, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 126.09/18.82 thf(c_0_177, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 126.09/18.82 thf(c_0_178, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 126.09/18.82 thf(c_0_179, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 126.09/18.82 thf(c_0_180, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 126.09/18.82 thf(c_0_181, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])). 126.09/18.82 thf(c_0_182, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])). 126.09/18.82 thf(c_0_183, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])). 126.09/18.82 thf(c_0_184, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X491:$i]:((((in @ X491 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X491 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_164, c_0_165])). 126.09/18.82 thf(c_0_185, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])). 126.09/18.82 thf(c_0_186, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])). 126.09/18.82 thf(c_0_187, negated_conjecture, ~(((((setadjoinAx)=>(((setunionAx)=>((omega0Ax)=>(((((foundationAx)=>(((descrp)=>((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((((((((setadjoinE)=>(((setoftrueEq)=>((((((((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((((((upairsetIL)=>((((vacuousDall)=>((quantDeMorgan1)=>(((quantDeMorgan3)=>((((prop2set2propI)=>((notdexE)=>(((exuI1)=>(((exuI2)=>((inCongP)=>(((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>(((setunion__Cong)=>(((((dsetconstr__Cong)=>((((eqimpsubset1)=>((subsetI2)=>(((subsetE)=>((subsetE2)=>((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>((setadjoinSub2)=>((((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>(((sepInPowerset)=>((sepSubset)=>((((binunionIR)=>(((binunionE)=>((((binintersectI)=>(((binintersectEL)=>(((binintersectSubset2)=>((((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((((setminusI)=>(((setminusER)=>((((((setminusIRneg)=>((setminusLsub)=>(((symdiffE)=>(((symdiffI2)=>((((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>(((upairinpowunion)=>(((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((((setunionE2)=>(((setunionsingleton2)=>((((((![X2:$i, X3:$i, X14:$i]:((((X2)=(X14))<=(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))<=(singletonsuniq))<=(ex1I2))<=(ex1I))<=(ex1E1))<=(singletonprop))<=(setunionsingleton)))<=(setunionsingleton1)))<=(cartprodmempair))<=(cartprodmempair1)))))<=(ubforcartprodlem1)))<=(upairsubunion))))))<=(kpairp))<=(kpairiskpair)))))<=(symdiffIneg2))<=(symdiffIneg1)))<=(symdiffI1)))<=(setminusSubset1))))<=(setminusILneg))<=(setminusELneg))<=(setminusERneg))<=(setminusSubset2)))<=(setminusEL)))<=(bs114d))<=(binintersectSubset1)))))<=(binintersectER))<=(binintersectSubset3)))<=(binintersectLsub)))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases)))<=(upairset2IR))<=(binunionIL))))<=(powersetsubset))))))<=(setextsub))<=(subset2powerset))))<=(subsetTrans)))<=(notequalI2))<=(notequalI1)))))<=(emptysetsubset))))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))))<=(exu__Cong)))<=(in__Cong))))<=(exuI3)))<=(notdallE))))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))))<=(emptyE1))<=(upairsetIR)))<=(upairsetE))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr)))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1)))))))<=(notinemptyset))<=(emptysetimpfalse))))))<=(dsetconstrEL))))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx))))<=(powersetAx)))<=(emptysetAx))<=(setextAx))), inference(assume_negation,[status(cth)],[setukpairinjL1])). 126.09/18.82 thf(c_0_188, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X456:$i]:(((((X6 @ X2 @ X456)))&(![X457:$i]:(((((X6 @ X2 @ X457)))=>(((X456)=(X457)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_166, c_0_167])). 126.09/18.82 thf(c_0_189, plain, ((descrp)=(![X1:$i > $o]:((((?[X458:$i]:(((((X1 @ X458)))&(![X459:$i]:(((((X1 @ X459)))=>(((X458)=(X459))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_168, c_0_167])). 126.09/18.82 thf(c_0_190, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 126.09/18.82 thf(c_0_191, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 126.09/18.82 thf(c_0_192, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 126.09/18.82 thf(c_0_193, plain, ((exuE1)=(![X1:$i > $o]:((((?[X460:$i]:(((((X1 @ X460)))&(![X461:$i]:(((((X1 @ X461)))=>(((X460)=(X461))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_169, c_0_167])). 126.09/18.82 thf(c_0_194, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X462:$i]:(((((X1 @ X462)))&(![X463:$i]:(((((X1 @ X463)))=>(((X462)=(X463))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_170, c_0_167])). 126.09/18.82 thf(c_0_195, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 126.09/18.82 thf(c_0_196, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_171])). 126.09/18.82 thf(c_0_197, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_172, c_0_171])). 126.09/18.82 thf(c_0_198, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_171])). 126.09/18.82 thf(c_0_199, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 126.09/18.82 thf(c_0_200, plain, ((exuE2)=(![X1:$i > $o]:((((?[X464:$i]:(((((X1 @ X464)))&(![X465:$i]:(((((X1 @ X465)))=>(((X464)=(X465))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_173, c_0_167])). 126.09/18.82 thf(c_0_201, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_171])). 126.09/18.82 thf(c_0_202, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 126.09/18.82 thf(c_0_203, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X466:$i]:(((((X1 @ X466)))&(![X467:$i]:(((((X1 @ X467)))=>(((X466)=(X467)))))))))))))), inference(apply_def,[status(thm)],[c_0_174, c_0_167])). 126.09/18.82 thf(c_0_204, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X468:$i]:(((((X1 @ X468)))&(![X469:$i]:(((((X1 @ X469)))=>(((X468)=(X469)))))))))))))))), inference(apply_def,[status(thm)],[c_0_175, c_0_167])). 126.09/18.82 thf(c_0_205, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X470:$i]:(((((X1 @ X470)))&(![X471:$i]:(((((X1 @ X471)))=>(((X470)=(X471)))))))))))))), inference(apply_def,[status(thm)],[c_0_176, c_0_167])). 126.09/18.82 thf(c_0_206, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X472:$i]:(((((X1 @ X472)))&(![X473:$i]:(((((X1 @ X473)))=>(((X472)=(X473))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_177, c_0_167])). 126.09/18.82 thf(c_0_207, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X474:$i]:(((((X1 @ X474)))&(![X475:$i]:(((((X1 @ X475)))=>(((X474)=(X475))))))))))<=>((?[X476:$i]:(((((X17 @ X476)))&(![X477:$i]:(((((X17 @ X477)))=>(((X476)=(X477)))))))))))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_167])). 126.09/18.82 thf(c_0_208, plain, ((exuEu)=(![X1:$i > $o]:((((?[X478:$i]:(((((X1 @ X478)))&(![X479:$i]:(((((X1 @ X479)))=>(((X478)=(X479))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_179, c_0_167])). 126.09/18.82 thf(c_0_209, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X480:$i]:(((((X1 @ X480)))&(![X481:$i]:(((((X1 @ X481)))=>(((X480)=(X481))))))))))=>((((?[X482:$i]:(((((X17 @ X482)))&(![X483:$i]:(((((X17 @ X483)))=>(((X482)=(X483))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_167])). 126.09/18.82 thf(c_0_210, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 126.09/18.82 thf(c_0_211, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 126.09/18.82 thf(c_0_212, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 126.09/18.82 thf(c_0_213, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X484:$i]:((((in @ X484 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X485:$i]:((((in @ X485 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X484 @ emptyset) @ (setadjoin @ (setadjoin @ X484 @ (setadjoin @ X485 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_181])). 126.09/18.82 thf(c_0_214, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X486:$i]:((((in @ X486 @ (setunion @ (kpair @ X2 @ X3))))&(?[X487:$i]:((((in @ X487 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X486 @ emptyset) @ (setadjoin @ (setadjoin @ X486 @ (setadjoin @ X487 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_181])). 126.09/18.82 thf(c_0_215, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X488:$i]:((((in @ X488 @ (setunion @ X18)))&(?[X489:$i]:((((in @ X489 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X488 @ emptyset) @ (setadjoin @ (setadjoin @ X488 @ (setadjoin @ X489 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_181])). 126.09/18.82 thf(c_0_216, plain, ((singletonprop)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>((?[X490:$i]:((((in @ X490 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X490 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_165])). 126.09/18.82 thf(c_0_217, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X492:$i]:((((in @ X492 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X492 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_183, c_0_184])). 126.09/18.82 thf(c_0_218, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X493:$i]:((((in @ X493 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X493 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_185, c_0_184])). 126.09/18.82 thf(c_0_219, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>((?[X494:$i]:((((in @ X494 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X494 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_186, c_0_184])). 126.09/18.82 thf(c_0_220, plain, ((epred1_0)<=>![X926:$i]:(?[X927:$i]:((((![X928:$i]:(((in @ X928 @ X927)=>![X929:$i]:(((in @ X929 @ X928)=>(in @ X929 @ X926)))))&![X930:$i, X931:$i]:((((in @ X930 @ X926)&(in @ X931 @ X926))=>(![X932:$i]:(((in @ X932 @ X927)=>((in @ X930 @ X932)<=>(in @ X931 @ X932))))=>((X930)=(X931))))))&![X933:$i, X934:$i]:((((in @ X933 @ X927)&(in @ X934 @ X927))=>(![X935:$i]:(((in @ X935 @ X933)=>(in @ X935 @ X934)))|![X936:$i]:(((in @ X936 @ X934)=>(in @ X936 @ X933)))))))&![X937:$i]:(((![X938:$i]:(((in @ X938 @ X937)=>(in @ X938 @ X926)))&?[X939:$i]:((in @ X939 @ X937)))=>?[X940:$i, X941:$i]:(((((in @ X940 @ X927)&(in @ X941 @ X937))&~(?[X942:$i]:(((in @ X942 @ X940)&(in @ X942 @ X937)))))&![X943:$i]:(((in @ X943 @ X927)=>(![X944:$i]:(((in @ X944 @ X943)=>(in @ X944 @ X940)))|(in @ X941 @ X943)))))))))))), introduced(definition)). 126.09/18.82 thf(c_0_221, negated_conjecture, ~((![X961:$i, X962:$i]:((![X963:$i]:(((in @ X963 @ X961)<=>(in @ X963 @ X962)))=>((X961)=(X962))))=>(![X960:$i]:(~(in @ X960 @ emptyset))=>(![X495:$i, X496:$i, X497:$i]:(((in @ X497 @ (setadjoin @ X495 @ X496))<=>(((X497)=(X495))|(in @ X497 @ X496))))=>(![X957:$i, X958:$i]:(((in @ X958 @ (powerset @ X957))<=>![X959:$i]:(((in @ X959 @ X958)=>(in @ X959 @ X957)))))=>(![X498:$i, X499:$i]:(((in @ X499 @ (setunion @ X498))<=>?[X500:$i]:(((in @ X499 @ X500)&(in @ X500 @ X498)))))=>((in @ emptyset @ omega)=>(![X956:$i]:(((in @ X956 @ omega)=>(in @ (setadjoin @ X956 @ X956) @ omega)))=>(![X953:$i]:((((in @ emptyset @ X953)&![X954:$i]:((((in @ X954 @ omega)&(in @ X954 @ X953))=>(in @ (setadjoin @ X954 @ X954) @ X953))))=>![X955:$i]:(((in @ X955 @ omega)=>(in @ X955 @ X953)))))=>(![X945:$i > $i > $o, X946:$i]:((![X947:$i]:(((in @ X947 @ X946)=>?[X948:$i]:(((X945 @ X947 @ X948)&![X949:$i]:(((X945 @ X947 @ X949)=>((X948)=(X949))))))))=>?[X950:$i]:(![X951:$i]:(((in @ X951 @ X950)<=>?[X952:$i]:(((in @ X952 @ X946)&(X945 @ X952 @ X951))))))))=>(![X501:$i]:((?[X502:$i]:((in @ X502 @ X501))=>?[X503:$i]:(((in @ X503 @ X501)&~(?[X504:$i]:(((in @ X504 @ X503)&(in @ X504 @ X501))))))))=>((epred1_0)=>(![X505:$i > $o]:((?[X506:$i]:(((X505 @ X506)&![X507:$i]:(((X505 @ X507)=>((X506)=(X507))))))=>(X505 @ (descr @ (^[Z0:$i]:(X505 @ Z0))))))=>(![X508:$i, X509:$i > $o, X510:$i]:(((in @ X510 @ X508)=>((X509 @ X510)=>(in @ X510 @ (dsetconstr @ X508 @ X509)))))=>(![X923:$i, X924:$i > $o, X925:$i]:(((in @ X925 @ (dsetconstr @ X923 @ X924))=>(in @ X925 @ X923)))=>(![X511:$i, X512:$i > $o, X513:$i]:(((in @ X513 @ (dsetconstr @ X511 @ X512))=>(X512 @ X513)))=>(![X514:$i > $o]:((?[X515:$i]:(((X514 @ X515)&![X516:$i]:(((X514 @ X516)=>((X515)=(X516))))))=>?[X517:$i]:(((X514 @ X517)&![X518:$i]:(((X514 @ X518)=>((X517)=(X518))))))))=>(![X519:$o, X520:$i]:(((in @ X520 @ (prop2set @ ((X519))))=>(X519)))=>(![X521:$i]:(((in @ X521 @ emptyset)=>![X522:$o]:((X522))))=>(![X922:$i]:(((in @ X922 @ emptyset)=>~($true)))=>(![X921:$i]:(~(in @ X921 @ emptyset))=>(![X523:$i > $o]:((?[X524:$i]:(((X523 @ X524)&![X525:$i]:(((X523 @ X525)=>((X524)=(X525))))))=>?[X526:$i]:((X523 @ X526))))=>(![X527:$i, X528:$i]:((![X529:$i]:(((in @ X529 @ X527)=>(in @ X529 @ X528)))=>(![X530:$i]:(((in @ X530 @ X528)=>(in @ X530 @ X527)))=>((X527)=(X528)))))=>(![X531:$i]:((![X532:$i]:(~(in @ X532 @ X531))=>((X531)=(emptyset))))=>(![X533:$i]:((![X534:$i]:(~(in @ X534 @ X533))=>((X533)=(emptyset))))=>(![X535:$i, X536:$i > $o, X537:$i]:(((in @ X537 @ X535)=>((in @ X537 @ (dsetconstr @ X535 @ X536))<=>(X536 @ X537))))=>(![X919:$i]:((((X919)!=(emptyset))=>?[X920:$i]:((in @ X920 @ X919))))=>(![X916:$i, X917:$i > $o, X918:$i]:(((in @ X918 @ X916)=>((X917 @ X918)=>((dsetconstr @ X916 @ X917)!=(emptyset)))))=>(![X914:$i]:((?[X915:$i]:((in @ X915 @ X914))=>((X914)!=(emptyset))))=>(![X912:$i, X913:$i]:((in @ X912 @ (setadjoin @ X912 @ X913)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X909:$i, X910:$i, X911:$i]:(((in @ X911 @ X910)=>(in @ X911 @ (setadjoin @ X909 @ X910))))=>(![X538:$i, X539:$i, X540:$i]:(((in @ X540 @ (setadjoin @ X538 @ X539))=>![X541:$o]:(((((X540)=(X538))=>(X541))=>(((in @ X540 @ X539)=>(X541))=>(X541))))))=>(![X906:$i, X907:$i, X908:$i]:(((in @ X908 @ (setadjoin @ X906 @ X907))=>(((X908)=(X906))|(in @ X908 @ X907))))=>(![X542:$i]:(((dsetconstr @ X542 @ (^[Z0:$i]:($true)))=(X542)))=>(![X903:$i, X904:$i]:((![X905:$i]:(((in @ X905 @ X904)=>(in @ X905 @ X903)))=>(in @ X904 @ (powerset @ X903))))=>(![X902:$i]:((in @ emptyset @ (powerset @ X902)))=>(![X901:$i]:((in @ emptyset @ (powerset @ X901)))=>(![X898:$i, X899:$i, X900:$i]:(((in @ X899 @ (powerset @ X898))=>((in @ X900 @ X899)=>(in @ X900 @ X898))))=>(![X895:$i, X896:$i, X897:$i]:(((in @ X896 @ X897)=>((in @ X897 @ X895)=>(in @ X896 @ (setunion @ X895)))))=>(![X891:$i, X892:$i]:(((in @ X892 @ (setunion @ X891))=>![X893:$o]:((![X894:$i]:(((in @ X892 @ X894)=>((in @ X894 @ X891)=>(X893))))=>(X893)))))=>(![X543:$i, X544:$i]:(((in @ X544 @ X543)=>(in @ X544 @ (powerset @ (setunion @ X543)))))=>(![X545:$i > $o]:((?[X546:$i]:(((X545 @ X546)&![X547:$i]:(((X545 @ X547)=>((X546)=(X547))))))=>?[X548:$i]:(![X549:$i]:(((X545 @ X549)<=>((X549)=(X548)))))))=>(![X550:$i]:((((X550)!=(emptyset))=>?[X551:$i]:(((in @ X551 @ X550)&$true))))=>(![X889:$i, X890:$i]:(((in @ X889 @ (setadjoin @ X890 @ emptyset))=>((X889)=(X890))))=>(![X887:$i, X888:$i]:((((X887)!=(X888))=>~(in @ X888 @ (setadjoin @ X887 @ emptyset))))=>(![X885:$i, X886:$i]:((((X885)=(X886))=>(in @ X885 @ (setadjoin @ X886 @ emptyset))))=>(![X883:$i, X884:$i]:(((in @ X883 @ (setadjoin @ X884 @ emptyset))=>(in @ X884 @ (setadjoin @ X883 @ emptyset))))=>(![X880:$i, X881:$i, X882:$i]:(((in @ X882 @ (setadjoin @ X880 @ (setadjoin @ X881 @ emptyset)))=>(((X882)=(X880))|((X882)=(X881)))))=>(![X552:$i, X553:$i]:((in @ X552 @ (setadjoin @ X552 @ (setadjoin @ X553 @ emptyset))))=>(![X878:$i, X879:$i]:((in @ X879 @ (setadjoin @ X878 @ (setadjoin @ X879 @ emptyset))))=>(![X875:$i, X876:$i > $o]:((?[X877:$i]:(((in @ X877 @ X875)&(X876 @ X877)))=>(((dsetconstr @ X875 @ X876)=(emptyset))=>~($true))))=>(![X554:$i > $o, X555:$i]:(((in @ X555 @ emptyset)=>(X554 @ X555)))=>(![X556:$i, X557:$i > $o]:((~(![X558:$i]:(((in @ X558 @ X556)=>(X557 @ X558))))=>?[X559:$i]:(((in @ X559 @ X556)&~((X557 @ X559))))))=>(![X871:$i, X872:$i > $o]:((![X873:$i]:(((in @ X873 @ X871)=>~((X872 @ X873))))=>~(?[X874:$i]:(((in @ X874 @ X871)&(X872 @ X874))))))=>(![X560:$i, X561:$i > $o]:((~(?[X562:$i]:(((in @ X562 @ X560)&(X561 @ X562))))=>![X563:$i]:(((in @ X563 @ X560)=>~((X561 @ X563))))))=>(![X867:$i, X868:$i > $o]:((?[X869:$i]:(((in @ X869 @ X867)&~((X868 @ X869))))=>~(![X870:$i]:(((in @ X870 @ X867)=>(X868 @ X870))))))=>(![X866:$o]:(((X866)=>(in @ emptyset @ (prop2set @ ((X866))))))=>(![X564:$o]:(((X564)=>(set2prop @ (prop2set @ ((X564))))))=>(![X565:$i, X566:$i > $o]:((~(?[X567:$i]:(((in @ X567 @ X565)&(X566 @ X567))))=>![X568:$i]:(((in @ X568 @ X565)=>~((X566 @ X568))))))=>(![X862:$i, X863:$i > $o]:((~(![X864:$i]:(((in @ X864 @ X862)=>(X863 @ X864))))=>?[X865:$i]:(((in @ X865 @ X862)&~((X863 @ X865))))))=>(![X569:$i > $o]:((?[X570:$i]:(((X569 @ X570)&![X571:$i]:(((X569 @ X571)=>((X570)=(X571))))))=>?[X572:$i]:(((X569 @ X572)&![X573:$i]:(((X569 @ X573)=>((X572)=(X573))))))))=>(![X856:$i > $o]:((?[X857:$i]:((X856 @ X857))=>(![X858:$i, X859:$i]:(((X856 @ X858)=>((X856 @ X859)=>((X858)=(X859)))))=>?[X860:$i]:(((X856 @ X860)&![X861:$i]:(((X856 @ X861)=>((X860)=(X861)))))))))=>(![X574:$i > $o]:((?[X575:$i]:(![X576:$i]:(((X574 @ X576)<=>((X576)=(X575)))))=>?[X577:$i]:(((X574 @ X577)&![X578:$i]:(((X574 @ X578)=>((X577)=(X578))))))))=>(![X579:$i, X580:$i]:((((X579)=(X580))=>![X581:$i, X582:$i]:((((X581)=(X582))=>((in @ X581 @ X579)=>(in @ X582 @ X580))))))=>(![X852:$i, X853:$i]:((((X852)=(X853))=>![X854:$i, X855:$i]:((((X854)=(X855))=>((in @ X854 @ X852)<=>(in @ X855 @ X853))))))=>(![X583:$i > $o]:((?[X584:$i]:(((X583 @ X584)&![X585:$i]:(((X583 @ X585)=>((X584)=(X585))))))=>![X586:$i, X587:$i]:(((X583 @ X586)=>((X583 @ X587)=>((X586)=(X587)))))))=>(![X844:$i > $o, X845:$i > $o]:((![X846:$i, X847:$i]:((((X846)=(X847))=>((X844 @ X846)<=>(X845 @ X847))))=>(?[X848:$i]:(((X844 @ X848)&![X849:$i]:(((X844 @ 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setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_188]), foundationAx]), wellorderingAx]), c_0_189]), c_0_190]), c_0_191]), c_0_192]), c_0_193]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_194]), setext]), emptyI]), noeltsimpempty]), c_0_195]), c_0_196]), c_0_197]), c_0_198]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_199]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_200]), c_0_201]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_202]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_203]), c_0_204]), c_0_205]), inCongP]), in__Cong]), c_0_206]), c_0_207]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_208]), c_0_209]), c_0_210]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_211]), c_0_212]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), c_0_213]), c_0_214]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_215]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_216]), c_0_217]), c_0_218]), c_0_219]), singletonsuniq])])]), c_0_220])). 126.09/18.82 thf(c_0_222, negated_conjecture, ![X968:$i, X969:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X981:$i, X982:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X990:$i, X991:$i > $i > $o, X992:$i, X994:$i, X997:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1004:$i, X1005:$i > $o, X1006:$i, X1008:$i, X1009:$i > $o, X1010:$i, X1011:$i, X1012:$i > $o, X1013:$i, X1014:$i, X1015:$i > $o, X1016:$i, X1017:$i > $o, X1018:$i, X1021:$i, X1022:$o, X1023:$i, X1024:$i, X1025:$o, X1026:$i, X1027:$i, X1028:$i > $o, X1029:$i, X1032:$i, X1033:$i, X1036:$i, X1038:$i, X1040:$i, X1041:$i > $o, X1042:$i, X1043:$i, X1045:$i, X1046:$i > $o, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$o, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$o, X1078:$i, X1079:$i, X1080:$i > $o, X1081:$i, X1084:$i, X1085:$i, X1086:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i > $o, X1105:$i, X1106:$i > $o, X1107:$i, X1108:$i, X1109:$i > $o, X1110:$i, X1112:$i, X1113:$i > $o, X1115:$i, X1116:$i, X1117:$i > $o, X1119:$i, X1120:$i, X1121:$i > $o, X1122:$i, X1124:$o, X1125:$o, X1126:$i, X1127:$i > $o, X1129:$i, X1130:$i, X1131:$i > $o, X1132:$i, X1134:$i > $o, X1135:$i, X1138:$i, X1139:$i > $o, X1140:$i, X1144:$i, X1145:$i > $o, X1146:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i > $o, X1159:$i, X1161:$i, X1162:$i, X1163:$i > $o, X1164:$i > $o, X1167:$i, X1170:$i, X1171:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i > $o, X1184:$i, X1186:$i, X1187:$i, X1188:$i > $o, X1189:$i > $o, X1192:$i, X1194:$i, X1196:$i, X1197:$i, X1198:$i > $o, X1199:$i > $o, X1202:$i, X1203:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i > $o, X1250:$i, X1251:$i > $o, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$o, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$o, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1354:$i, X1355:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1397:$i, X1398:$i, X1399:$i, X1402:$i, X1403:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i > $o, X1412:$i, X1414:$i, X1415:$i > $o, X1416:$i, X1418:$i, X1419:$i > $o, X1420:$i, X1423:$i, X1424:$i > $o, X1427:$i, X1429:$i, X1430:$i]:((((~(in @ (esk1_2 @ X968 @ X969) @ X968)|~(in @ (esk1_2 @ X968 @ X969) @ X969)|((X968)=(X969)))&((in @ (esk1_2 @ X968 @ X969) @ X968)|(in @ (esk1_2 @ X968 @ X969) @ X969)|((X968)=(X969))))&(~(in @ X971 @ emptyset)&(((~(in @ X974 @ (setadjoin @ X972 @ X973))|(((X974)=(X972))|(in @ X974 @ X973)))&((((X974)!=(X972))|(in @ X974 @ (setadjoin @ X972 @ X973)))&(~(in @ X974 @ X973)|(in @ X974 @ (setadjoin @ X972 @ X973)))))&(((~(in @ X976 @ (powerset @ X975))|(~(in @ X977 @ X976)|(in @ X977 @ X975)))&(((in @ (esk2_2 @ X978 @ X979) @ X979)|(in @ X979 @ (powerset @ X978)))&(~(in @ (esk2_2 @ X978 @ X979) @ X978)|(in @ X979 @ (powerset @ X978)))))&(((((in @ X982 @ (esk3_2 @ X981 @ X982))|~(in @ X982 @ (setunion @ X981)))&((in @ (esk3_2 @ X981 @ X982) @ X981)|~(in @ X982 @ (setunion @ X981))))&(~(in @ X985 @ X986)|~(in @ X986 @ X984)|(in @ X985 @ (setunion @ X984))))&((in @ emptyset @ omega)&((~(in @ X987 @ omega)|(in @ (setadjoin @ X987 @ X987) @ omega))&(((((in @ (esk4_1 @ X988) @ omega)|~(in @ emptyset @ X988)|(~(in @ X990 @ omega)|(in @ X990 @ X988)))&((in @ (esk4_1 @ X988) @ X988)|~(in @ emptyset @ X988)|(~(in @ X990 @ omega)|(in @ X990 @ X988))))&(~(in @ (setadjoin @ (esk4_1 @ X988) @ (esk4_1 @ X988)) @ X988)|~(in @ emptyset @ X988)|(~(in @ X990 @ omega)|(in @ X990 @ X988))))&((((((in @ (esk8_3 @ X991 @ X992 @ X997) @ X992)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|(in @ (esk5_2 @ X991 @ X992) @ X992))&((X991 @ (esk8_3 @ X991 @ X992 @ X997) @ X997)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|(in @ (esk5_2 @ X991 @ X992) @ X992)))&(~(in @ X1000 @ X992)|~(X991 @ X1000 @ X999)|(in @ X999 @ (esk7_2 @ X991 @ X992))|(in @ (esk5_2 @ X991 @ X992) @ X992)))&(((((in @ (esk8_3 @ X991 @ X992 @ X997) @ X992)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|((X991 @ (esk5_2 @ X991 @ X992) @ (esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994)))&((X991 @ (esk8_3 @ X991 @ X992 @ X997) @ X997)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|((X991 @ (esk5_2 @ X991 @ X992) @ (esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994))))&(~(in @ X1000 @ X992)|~(X991 @ X1000 @ X999)|(in @ X999 @ (esk7_2 @ X991 @ X992))|((X991 @ (esk5_2 @ X991 @ X992) @ (esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994))))&((((in @ (esk8_3 @ X991 @ X992 @ X997) @ X992)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|(((X994)!=(esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994)))&((X991 @ (esk8_3 @ X991 @ X992 @ X997) @ X997)|~(in @ X997 @ (esk7_2 @ X991 @ X992))|(((X994)!=(esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994))))&(~(in @ X1000 @ X992)|~(X991 @ X1000 @ X999)|(in @ X999 @ (esk7_2 @ X991 @ X992))|(((X994)!=(esk6_3 @ X991 @ X992 @ X994))|~(X991 @ (esk5_2 @ X991 @ X992) @ X994))))))&((((in @ (esk9_1 @ X1001) @ X1001)|~(in @ X1002 @ X1001))&(~(in @ X1004 @ (esk9_1 @ X1001))|~(in @ X1004 @ X1001)|~(in @ X1002 @ X1001)))&((epred1_0)&((((X1005 @ (esk10_2 @ X1005 @ X1006))|~(X1005 @ X1006)|(X1005 @ (descr @ X1005)))&(((X1006)!=(esk10_2 @ X1005 @ X1006))|~(X1005 @ X1006)|(X1005 @ (descr @ X1005))))&((~(in @ X1010 @ X1008)|(~(X1009 @ X1010)|(in @ X1010 @ (dsetconstr @ X1008 @ X1009))))&((~(in @ X1013 @ (dsetconstr @ X1011 @ X1012))|(in @ X1013 @ X1011))&((~(in @ X1016 @ (dsetconstr @ X1014 @ X1015))|(X1015 @ X1016))&(((((X1017 @ (esk12_1 @ X1017))|((X1017 @ (esk11_2 @ X1017 @ X1018))|~(X1017 @ X1018)))&(~(X1017 @ X1021)|((esk12_1 @ X1017)=(X1021))|((X1017 @ (esk11_2 @ X1017 @ X1018))|~(X1017 @ 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X1188)=(descr @ X1189))|((X1188 @ (esk48_3 @ X1188 @ X1189 @ X1192))|~(X1188 @ X1192))|((X1188 @ (esk46_2 @ X1188 @ X1189))|(X1189 @ (esk47_2 @ X1188 @ X1189)))))&(((X1189 @ (esk49_3 @ X1188 @ X1189 @ X1194))|~(X1189 @ X1194)|((descr @ X1188)=(descr @ X1189))|(((X1192)!=(esk48_3 @ X1188 @ X1189 @ X1192))|~(X1188 @ X1192))|((X1188 @ (esk46_2 @ X1188 @ X1189))|(X1189 @ (esk47_2 @ X1188 @ X1189))))&(((X1194)!=(esk49_3 @ X1188 @ X1189 @ X1194))|~(X1189 @ X1194)|((descr @ X1188)=(descr @ X1189))|(((X1192)!=(esk48_3 @ X1188 @ X1189 @ X1192))|~(X1188 @ X1192))|((X1188 @ (esk46_2 @ X1188 @ X1189))|(X1189 @ (esk47_2 @ X1188 @ X1189))))))))&((((in @ (esk50_4 @ X1196 @ X1197 @ X1198 @ X1199) @ X1196)|((dsetconstr @ X1196 @ X1198)=(dsetconstr @ X1197 @ X1199))|((X1196)!=(X1197)))&(((in @ (esk51_4 @ X1196 @ X1197 @ X1198 @ X1199) @ X1197)|((dsetconstr @ X1196 @ X1198)=(dsetconstr @ X1197 @ X1199))|((X1196)!=(X1197)))&((((esk50_4 @ X1196 @ X1197 @ X1198 @ X1199)=(esk51_4 @ X1196 @ X1197 @ X1198 @ 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X1218 @ X1216)))&((~(in @ X1221 @ X1219)|((in @ X1221 @ X1220)|~(subset @ X1219 @ X1220)))&(((subset @ X1222 @ X1223)|((X1222)!=(X1223)))&((~(in @ X1226 @ X1224)|((in @ X1226 @ X1225)|((X1224)!=(X1225))))&((subset @ X1227 @ X1227)&((~(subset @ X1228 @ X1229)|(~(subset @ X1229 @ X1230)|(subset @ X1228 @ X1230)))&((subset @ X1232 @ (setadjoin @ X1231 @ X1232))&((~(subset @ X1233 @ X1235)|(subset @ X1233 @ (setadjoin @ X1234 @ X1235)))&((~(subset @ X1236 @ X1237)|(in @ X1236 @ (powerset @ X1237)))&((~(subset @ X1238 @ X1239)|(~(subset @ X1239 @ X1238)|((X1238)=(X1239))))&((~(subset @ X1240 @ emptyset)|((X1240)=(emptyset)))&((~(subset @ X1242 @ X1241)|(in @ X1242 @ (powerset @ X1241)))&((~(in @ X1244 @ (powerset @ X1243))|(subset @ X1244 @ X1243))&((in @ X1245 @ (powerset @ X1245))&((~(subset @ X1246 @ X1247)|(subset @ (powerset @ X1246) @ (powerset @ X1247)))&((in @ (dsetconstr @ X1248 @ X1249) @ (powerset @ X1248))&((subset @ (dsetconstr @ X1250 @ X1251) @ X1250)&((~(in @ X1254 @ X1252)|(in @ X1254 @ (binunion @ X1252 @ X1253)))&((in @ X1256 @ (setadjoin @ X1255 @ (setadjoin @ X1256 @ emptyset)))&((~(in @ X1259 @ X1258)|(in @ X1259 @ (binunion @ X1257 @ X1258)))&(((((in @ X1262 @ X1261)|(X1263)|(in @ X1262 @ X1260)|~(in @ X1262 @ (binunion @ X1260 @ X1261)))&(~(X1263)|(X1263)|(in @ X1262 @ X1260)|~(in @ X1262 @ (binunion @ X1260 @ X1261))))&(((in @ X1262 @ X1261)|(X1263)|~(X1263)|~(in @ X1262 @ (binunion @ X1260 @ X1261)))&(~(X1263)|(X1263)|~(X1263)|~(in @ X1262 @ (binunion @ X1260 @ X1261)))))&((~(in @ X1266 @ (binunion @ X1264 @ X1265))|((in @ X1266 @ X1264)|(in @ X1266 @ X1265)))&((subset @ X1267 @ (binunion @ X1267 @ X1268))&((subset @ X1270 @ (binunion @ X1269 @ X1270))&((~(in @ X1273 @ X1271)|(~(in @ X1273 @ X1272)|(in @ X1273 @ (binintersect @ X1271 @ X1272))))&((~(subset @ X1276 @ X1274)|(~(subset @ X1276 @ X1275)|(subset @ X1276 @ (binintersect @ X1274 @ X1275))))&((~(in @ X1279 @ (binintersect @ X1277 @ X1278))|(in @ X1279 @ X1277))&((subset @ (binintersect @ X1280 @ X1281) @ X1280)&((~(subset @ X1282 @ X1283)|((binintersect @ X1282 @ X1283)=(X1282)))&((((binintersect @ X1284 @ X1285)!=(X1285))|(subset @ X1285 @ X1284))&((~(in @ X1288 @ (binintersect @ X1286 @ X1287))|(in @ X1288 @ X1287))&((((in @ (esk54_2 @ X1289 @ X1290) @ X1289)|((binintersect @ X1289 @ X1290)=(emptyset)))&((in @ (esk54_2 @ X1289 @ X1290) @ X1290)|((binintersect @ X1289 @ X1290)=(emptyset))))&((subset @ (binintersect @ X1292 @ X1293) @ X1293)&((~(subset @ X1295 @ X1294)|((binintersect @ X1294 @ X1295)=(X1295)))&((((binintersect @ X1296 @ X1297)!=(X1296))|(subset @ X1296 @ X1297))&(((binintersect @ X1298 @ (binunion @ X1299 @ X1300))=(binunion @ (binintersect @ X1298 @ X1299) @ (binintersect @ X1298 @ X1300)))&((~(in @ X1303 @ X1301)|((in @ X1303 @ X1302)|(in @ X1303 @ (setminus @ X1301 @ X1302))))&((~(in @ X1306 @ (setminus @ X1304 @ X1305))|(in @ X1306 @ X1304))&((~(in @ X1309 @ (setminus @ X1307 @ X1308))|~(in @ X1309 @ X1308))&((~(subset @ X1310 @ X1311)|((setminus @ X1310 @ X1311)=(emptyset)))&(((in @ X1314 @ (setminus @ X1312 @ X1313))|(~(in @ X1314 @ X1312)|(in @ X1314 @ X1313)))&(((in @ X1317 @ (setminus @ X1315 @ X1316))|((in @ X1317 @ X1316)|~(in @ X1317 @ X1315)))&(((in @ X1320 @ X1318)|~(in @ X1320 @ (setminus @ X1318 @ X1319)))&((~(in @ X1323 @ X1322)|~(in @ X1323 @ (setminus @ X1321 @ X1322)))&((subset @ (setminus @ X1324 @ X1325) @ X1324)&((((setminus @ X1326 @ X1327)!=(emptyset))|(subset @ X1326 @ X1327))&((((~(in @ X1330 @ X1328)|(X1331)|(in @ X1330 @ X1328)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(((in @ X1330 @ X1329)|(X1331)|(in @ X1330 @ X1328)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(~(X1331)|(X1331)|(in @ X1330 @ X1328)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))))&(((~(in @ X1330 @ X1328)|(X1331)|~(in @ X1330 @ X1329)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(((in @ X1330 @ X1329)|(X1331)|~(in @ X1330 @ X1329)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(~(X1331)|(X1331)|~(in @ X1330 @ X1329)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))))&((~(in @ X1330 @ X1328)|(X1331)|~(X1331)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(((in @ X1330 @ X1329)|(X1331)|~(X1331)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))&(~(X1331)|(X1331)|~(X1331)|~(in @ X1330 @ (symdiff @ X1328 @ X1329)))))))&((~(in @ X1334 @ X1332)|((in @ X1334 @ X1333)|(in @ X1334 @ (symdiff @ X1332 @ X1333))))&(((in @ X1337 @ X1335)|(~(in @ X1337 @ X1336)|(in @ X1337 @ (symdiff @ X1335 @ X1336))))&((~(in @ X1340 @ X1338)|(~(in @ X1340 @ X1339)|~(in @ X1340 @ (symdiff @ X1338 @ X1339))))&(((in @ X1343 @ X1341)|((in @ X1343 @ X1342)|~(in @ X1343 @ (symdiff @ X1341 @ X1342))))&((in @ X1345 @ (setadjoin @ X1344 @ (setadjoin @ X1345 @ emptyset)))&((in @ X1346 @ (setunion @ (setadjoin @ (setadjoin @ X1346 @ emptyset) @ (setadjoin @ (setadjoin @ X1346 @ (setadjoin @ X1347 @ emptyset)) @ emptyset))))&((in @ X1349 @ (setunion @ (setadjoin @ (setadjoin @ X1348 @ emptyset) @ (setadjoin @ (setadjoin @ X1348 @ (setadjoin @ X1349 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1350 @ X1351) @ (setunion @ (setadjoin @ (setadjoin @ X1350 @ emptyset) @ (setadjoin @ (setadjoin @ X1350 @ (setadjoin @ X1351 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1350 @ X1351) @ (setunion @ (setadjoin @ (setadjoin @ X1350 @ emptyset) @ (setadjoin @ (setadjoin @ X1350 @ (setadjoin @ X1351 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1350 @ emptyset) @ (setadjoin @ (setadjoin @ X1350 @ (setadjoin @ X1351 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1350 @ X1351) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1350 @ X1351) @ (setadjoin @ (esk56_2 @ X1350 @ X1351) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1354 @ X1355) @ (setunion @ (kpair @ X1354 @ X1355)))&((in @ (esk58_2 @ X1354 @ X1355) @ (setunion @ (kpair @ X1354 @ X1355)))&((kpair @ X1354 @ X1355)=(setadjoin @ (setadjoin @ (esk57_2 @ X1354 @ X1355) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1354 @ X1355) @ (setadjoin @ (esk58_2 @ X1354 @ X1355) @ emptyset)) @ emptyset)))))&((~(in @ X1359 @ X1358)|(subset @ (setadjoin @ X1359 @ emptyset) @ X1358))&((~(in @ X1361 @ X1360)|(in @ (setadjoin @ X1361 @ emptyset) @ (powerset @ X1360)))&((~(in @ X1364 @ X1362)|(in @ (setadjoin @ X1364 @ emptyset) @ (powerset @ (binunion @ X1362 @ X1363))))&((~(in @ X1367 @ (setadjoin @ X1365 @ (setadjoin @ X1366 @ emptyset)))|(((X1367)=(X1365))|((X1367)=(X1366))))&((~(in @ X1370 @ X1368)|(~(in @ X1371 @ X1369)|(subset @ (setadjoin @ X1370 @ (setadjoin @ X1371 @ emptyset)) @ (binunion @ X1368 @ X1369))))&((~(in @ X1374 @ X1372)|(~(in @ X1375 @ X1373)|(in @ (setadjoin @ X1374 @ (setadjoin @ X1375 @ emptyset)) @ (powerset @ (binunion @ X1372 @ X1373)))))&((~(in @ X1378 @ X1376)|(~(in @ X1379 @ X1377)|(subset @ (setadjoin @ (setadjoin @ X1378 @ emptyset) @ (setadjoin @ (setadjoin @ X1378 @ (setadjoin @ X1379 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1376 @ X1377)))))&((~(in @ X1382 @ X1380)|(~(in @ X1383 @ X1381)|(in @ (setadjoin @ (setadjoin @ X1382 @ emptyset) @ (setadjoin @ (setadjoin @ X1382 @ (setadjoin @ X1383 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1380 @ X1381))))))&((~(in @ X1386 @ X1384)|(~(in @ X1387 @ X1385)|(in @ (kpair @ X1386 @ X1387) @ (powerset @ (powerset @ (binunion @ X1384 @ X1385))))))&((~(in @ X1390 @ X1388)|(~(in @ X1391 @ X1389)|(in @ (kpair @ X1390 @ X1391) @ (cartprod @ X1388 @ X1389))))&((((in @ (esk59_3 @ X1392 @ X1393 @ X1394) @ X1392)|~(in @ X1394 @ (cartprod @ X1392 @ X1393)))&(((in @ (esk60_3 @ X1392 @ X1393 @ X1394) @ X1393)|~(in @ X1394 @ (cartprod @ X1392 @ X1393)))&(((X1394)=(kpair @ (esk59_3 @ X1392 @ X1393 @ X1394) @ (esk60_3 @ X1392 @ X1393 @ X1394)))|~(in @ X1394 @ (cartprod @ X1392 @ X1393)))))&((((in @ (esk61_3 @ X1397 @ X1398 @ X1399) @ (setunion @ X1399))|~(in @ X1399 @ (cartprod @ X1397 @ X1398)))&(((in @ (esk62_3 @ X1397 @ X1398 @ X1399) @ (setunion @ X1399))|~(in @ X1399 @ (cartprod @ X1397 @ X1398)))&(((X1399)=(setadjoin @ (setadjoin @ (esk61_3 @ X1397 @ X1398 @ X1399) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1397 @ X1398 @ X1399) @ (setadjoin @ (esk62_3 @ X1397 @ X1398 @ X1399) @ emptyset)) @ emptyset)))|~(in @ X1399 @ (cartprod @ X1397 @ X1398)))))&((((in @ (esk63_2 @ X1402 @ X1403) @ X1402)|~(in @ X1403 @ (setunion @ X1402)))&((in @ X1403 @ (esk63_2 @ X1402 @ X1403))|~(in @ X1403 @ (setunion @ X1402))))&((subset @ (setunion @ (setadjoin @ X1405 @ emptyset)) @ X1405)&((subset @ X1406 @ (setunion @ (setadjoin @ X1406 @ emptyset)))&(((setunion @ (setadjoin @ X1407 @ emptyset))=(X1407))&(((((in @ (esk66_2 @ X1408 @ X1409) @ (dsetconstr @ X1408 @ X1409))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(in @ (esk64_2 @ X1408 @ X1409) @ X1408))&(((dsetconstr @ X1408 @ X1409)=(setadjoin @ (esk66_2 @ X1408 @ X1409) @ emptyset))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(in @ (esk64_2 @ X1408 @ X1409) @ X1408)))&((((in @ (esk66_2 @ X1408 @ X1409) @ (dsetconstr @ X1408 @ X1409))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(in @ (esk65_2 @ X1408 @ X1409) @ X1408))&(((dsetconstr @ X1408 @ X1409)=(setadjoin @ (esk66_2 @ X1408 @ X1409) @ emptyset))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(in @ (esk65_2 @ X1408 @ X1409) @ X1408)))&((((in @ (esk66_2 @ X1408 @ X1409) @ (dsetconstr @ X1408 @ X1409))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(X1409 @ (esk64_2 @ X1408 @ X1409)))&(((dsetconstr @ X1408 @ X1409)=(setadjoin @ (esk66_2 @ X1408 @ X1409) @ emptyset))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(X1409 @ (esk64_2 @ X1408 @ X1409))))&((((in @ (esk66_2 @ X1408 @ X1409) @ (dsetconstr @ X1408 @ X1409))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(X1409 @ (esk65_2 @ X1408 @ X1409)))&(((dsetconstr @ X1408 @ X1409)=(setadjoin @ (esk66_2 @ X1408 @ X1409) @ emptyset))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|(X1409 @ (esk65_2 @ X1408 @ X1409))))&(((in @ (esk66_2 @ X1408 @ X1409) @ (dsetconstr @ X1408 @ X1409))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|((esk64_2 @ X1408 @ X1409)!=(esk65_2 @ X1408 @ X1409)))&(((dsetconstr @ X1408 @ X1409)=(setadjoin @ (esk66_2 @ X1408 @ X1409) @ emptyset))|(~(in @ X1412 @ X1408)|~(X1409 @ X1412))|((esk64_2 @ X1408 @ X1409)!=(esk65_2 @ X1408 @ X1409))))))))&((((in @ (esk67_2 @ X1414 @ X1415) @ X1414)|(~(in @ X1416 @ (dsetconstr @ X1414 @ X1415))|((dsetconstr @ X1414 @ X1415)!=(setadjoin @ X1416 @ emptyset))))&((X1415 @ (esk67_2 @ X1414 @ X1415))|(~(in @ X1416 @ (dsetconstr @ X1414 @ X1415))|((dsetconstr @ X1414 @ X1415)!=(setadjoin @ X1416 @ emptyset)))))&(((((in @ (esk69_3 @ X1418 @ X1419 @ X1420) @ (dsetconstr @ X1418 @ X1419))|(in @ (esk68_3 @ X1418 @ X1419 @ X1420) @ X1418)|~(X1419 @ X1420)|~(in @ X1420 @ X1418))&(((dsetconstr @ X1418 @ X1419)=(setadjoin @ (esk69_3 @ X1418 @ X1419 @ X1420) @ emptyset))|(in @ (esk68_3 @ X1418 @ X1419 @ X1420) @ X1418)|~(X1419 @ X1420)|~(in @ X1420 @ X1418)))&((((in @ (esk69_3 @ X1418 @ X1419 @ X1420) @ (dsetconstr @ X1418 @ X1419))|(X1419 @ (esk68_3 @ X1418 @ X1419 @ X1420))|~(X1419 @ X1420)|~(in @ X1420 @ X1418))&(((dsetconstr @ X1418 @ X1419)=(setadjoin @ (esk69_3 @ X1418 @ X1419 @ X1420) @ emptyset))|(X1419 @ (esk68_3 @ X1418 @ X1419 @ X1420))|~(X1419 @ X1420)|~(in @ X1420 @ X1418)))&(((in @ (esk69_3 @ X1418 @ X1419 @ X1420) @ (dsetconstr @ X1418 @ X1419))|((esk68_3 @ X1418 @ X1419 @ X1420)!=(X1420))|~(X1419 @ X1420)|~(in @ X1420 @ X1418))&(((dsetconstr @ X1418 @ X1419)=(setadjoin @ (esk69_3 @ X1418 @ X1419 @ X1420) @ emptyset))|((esk68_3 @ X1418 @ X1419 @ X1420)!=(X1420))|~(X1419 @ X1420)|~(in @ X1420 @ X1418)))))&(((((in @ (esk72_2 @ X1423 @ X1424) @ (dsetconstr @ X1423 @ X1424))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(in @ (esk70_2 @ X1423 @ X1424) @ X1423))&(((dsetconstr @ X1423 @ X1424)=(setadjoin @ (esk72_2 @ X1423 @ X1424) @ emptyset))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(in @ (esk70_2 @ X1423 @ X1424) @ X1423)))&((((in @ (esk72_2 @ X1423 @ X1424) @ (dsetconstr @ X1423 @ X1424))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(in @ (esk71_2 @ X1423 @ X1424) @ X1423))&(((dsetconstr @ X1423 @ X1424)=(setadjoin @ (esk72_2 @ X1423 @ X1424) @ emptyset))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(in @ (esk71_2 @ X1423 @ X1424) @ X1423)))&((((in @ (esk72_2 @ X1423 @ X1424) @ (dsetconstr @ X1423 @ X1424))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(X1424 @ (esk70_2 @ X1423 @ X1424)))&(((dsetconstr @ X1423 @ X1424)=(setadjoin @ (esk72_2 @ X1423 @ X1424) @ emptyset))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(X1424 @ (esk70_2 @ X1423 @ X1424))))&((((in @ (esk72_2 @ X1423 @ X1424) @ (dsetconstr @ X1423 @ X1424))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(X1424 @ (esk71_2 @ X1423 @ X1424)))&(((dsetconstr @ X1423 @ X1424)=(setadjoin @ (esk72_2 @ X1423 @ X1424) @ emptyset))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|(X1424 @ (esk71_2 @ X1423 @ X1424))))&(((in @ (esk72_2 @ X1423 @ X1424) @ (dsetconstr @ X1423 @ X1424))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|((esk70_2 @ X1423 @ X1424)!=(esk71_2 @ X1423 @ X1424)))&(((dsetconstr @ X1423 @ X1424)=(setadjoin @ (esk72_2 @ X1423 @ X1424) @ emptyset))|(~(in @ X1427 @ X1423)|~(X1424 @ X1427))|((esk70_2 @ X1423 @ X1424)!=(esk71_2 @ X1423 @ X1424))))))))&((((setadjoin @ X1429 @ emptyset)!=(setadjoin @ X1430 @ emptyset))|((X1429)=(X1430)))&((in @ (setadjoin @ esk75_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk73_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk73_0 @ (setadjoin @ esk74_0 @ emptyset)) @ emptyset)))&((esk73_0)!=(esk75_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_221])])])])])])])). 126.09/18.82 thf(c_0_223, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((X2)=(X3))|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_224, negated_conjecture, (in @ (setadjoin @ esk75_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk73_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk73_0 @ (setadjoin @ esk74_0 @ emptyset)) @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_225, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_226, negated_conjecture, (((setadjoin @ esk73_0 @ (setadjoin @ esk74_0 @ emptyset))=(setadjoin @ esk75_0 @ emptyset))|((setadjoin @ esk75_0 @ emptyset)=(setadjoin @ esk73_0 @ emptyset))), inference(spm,[status(thm)],[c_0_223, c_0_224])). 126.09/18.82 thf(c_0_227, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_222])])])). 126.09/18.82 thf(c_0_228, negated_conjecture, (((setadjoin @ esk75_0 @ emptyset)=(setadjoin @ esk73_0 @ emptyset))|(in @ esk73_0 @ (setadjoin @ esk75_0 @ emptyset))), inference(spm,[status(thm)],[c_0_225, c_0_226])). 126.09/18.82 thf(c_0_229, negated_conjecture, ((esk73_0)!=(esk75_0)), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_230, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_231, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(split_conjunct,[status(thm)],[c_0_222])). 126.09/18.82 thf(c_0_232, negated_conjecture, ((setadjoin @ esk75_0 @ emptyset)=(setadjoin @ esk73_0 @ emptyset)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227, c_0_228]), c_0_229]), c_0_230])). 126.09/18.82 thf(c_0_233, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231, c_0_232]), c_0_231]), c_0_229]), ['proof']). 126.09/18.82 % SZS output end CNFRefutation 126.09/18.82 % Parsed axioms : 352 126.09/18.82 % Removed by relevancy pruning/SinE : 0 126.09/18.82 % Initial clauses : 503 126.09/18.82 % Removed in clause preprocessing : 212 126.09/18.82 % Initial clauses in saturation : 291 126.09/18.82 % Processed clauses : 619 126.09/18.82 % ...of these trivial : 6 126.09/18.82 % ...subsumed : 51 126.09/18.82 % ...remaining for further processing : 562 126.09/18.82 % Other redundant clauses eliminated : 17 126.09/18.82 % Clauses deleted for lack of memory : 0 126.09/18.82 % Backward-subsumed : 0 126.09/18.82 % Backward-rewritten : 11 126.09/18.82 % Generated clauses : 6976 126.09/18.82 % ...of the previous two non-redundant : 6863 126.09/18.82 % ...aggressively subsumed : 0 126.09/18.82 % Contextual simplify-reflections : 0 126.09/18.82 % Paramodulations : 6955 126.09/18.82 % Factorizations : 2 126.09/18.82 % NegExts : 0 126.09/18.82 % Equation resolutions : 18 126.09/18.82 % Disequality decompositions : 0 126.09/18.82 % Total rewrite steps : 147 126.09/18.82 % ...of those cached : 94 126.09/18.82 % Propositional unsat checks : 0 126.09/18.82 % Propositional check models : 0 126.09/18.82 % Propositional check unsatisfiable : 0 126.09/18.82 % Propositional clauses : 0 126.09/18.82 % Propositional clauses after purity: 0 126.09/18.82 % Propositional unsat core size : 0 126.09/18.82 % Propositional preprocessing time : 0.000 126.09/18.82 % Propositional encoding time : 0.000 126.09/18.82 % Propositional solver time : 0.000 126.09/18.82 % Success case prop preproc time : 0.000 126.09/18.82 % Success case prop encoding time : 0.000 126.09/18.82 % Success case prop solver time : 0.000 126.09/18.82 % Current number of processed clauses : 285 126.09/18.82 % Positive orientable unit clauses : 34 126.09/18.82 % Positive unorientable unit clauses: 0 126.09/18.82 % Negative unit clauses : 7 126.09/18.82 % Non-unit-clauses : 244 126.09/18.82 % Current number of unprocessed clauses: 6734 126.09/18.82 % ...number of literals in the above : 26930 126.09/18.82 % Current number of archived formulas : 0 126.09/18.82 % Current number of archived clauses : 265 126.09/18.82 % Clause-clause subsumption calls (NU) : 17915 126.09/18.82 % Rec. Clause-clause subsumption calls : 6721 126.09/18.82 % Non-unit clause-clause subsumptions : 37 126.09/18.82 % Unit Clause-clause subsumption calls : 150 126.09/18.82 % Rewrite failures with RHS unbound : 0 126.09/18.82 % BW rewrite match attempts : 21 126.09/18.82 % BW rewrite match successes : 4 126.09/18.82 % Condensation attempts : 0 126.09/18.82 % Condensation successes : 0 126.09/18.82 % Termbank termtop insertions : 184020 126.09/18.82 % Search garbage collected termcells : 16019 126.09/18.82 126.09/18.82 % ------------------------------------------------- 126.09/18.82 % User time : 17.403 s 126.09/18.82 % System time : 0.564 s 126.09/18.82 % Total time : 17.967 s 126.09/18.82 % Maximum resident set size: 7000 pages 126.09/18.82 126.09/18.82 % ------------------------------------------------- 126.09/18.82 % User time : 17.421 s 126.09/18.82 % System time : 0.575 s 126.09/18.82 % Total time : 17.996 s 126.09/18.82 % Maximum resident set size: 4864 pages 126.09/18.82 % E exiting 126.09/18.82 EOF