%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU670^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:27:09 AM UTC 2026
% Result : Theorem 0.51s 0.43s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU670^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:07:39 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.20/0.27 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=300 /export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p
% 0.51/0.43 % Version: 3.5.1-ho
% 0.51/0.43 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.51/0.43 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.43 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.51/0.43 % Starting pre_casc_3 with 300s (1) cores
% 0.51/0.43 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.51/0.43 % Starting full_lambda_10 with 300s (1) cores
% 0.51/0.43 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.51/0.43 % ho_unfolding_5 with pid 3211285 completed with status 0
% 0.51/0.43 % Result found by ho_unfolding_5
% 0.51/0.43 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.51/0.43 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.43 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.51/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.43 % No SInE strategy applied
% 0.51/0.43 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.51/0.43 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.51/0.43 % Starting SubtermCWHack with 109s (1) cores
% 0.51/0.43 % Starting ho_unfolding_5 with 121s (1) cores
% 0.51/0.43 % Starting pre_casc_3 with 171s (1) cores
% 0.51/0.43 % Starting new_bool_3 with 109s (1) cores
% 0.51/0.43 % ho_unfolding_5 with pid 3211322 completed with status 0
% 0.51/0.43 % Result found by ho_unfolding_5
% 0.51/0.43 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.51/0.43 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.43 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.51/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.43 % No SInE strategy applied
% 0.51/0.43 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.51/0.43 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.51/0.43 % Starting SubtermCWHack with 109s (1) cores
% 0.51/0.43 % Starting ho_unfolding_5 with 121s (1) cores
% 0.51/0.43 % Preprocessing time : 0.008 s
% 0.51/0.43 % Presaturation interreduction done
% 0.51/0.43
% 0.51/0.43 % Proof found!
% 0.51/0.43 % SZS status Theorem
% 0.51/0.43 % SZS output start CNFRefutation
% 0.51/0.43 thf(decl_23, type, in: $i > $i > $o).
% 0.51/0.43 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.51/0.43 thf(decl_25, type, setextAx: $o).
% 0.51/0.43 thf(decl_26, type, emptyset: $i).
% 0.51/0.43 thf(decl_27, type, emptysetAx: $o).
% 0.51/0.43 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.51/0.43 thf(decl_29, type, setadjoinAx: $o).
% 0.51/0.43 thf(decl_30, type, powerset: $i > $i).
% 0.51/0.43 thf(decl_31, type, powersetAx: $o).
% 0.51/0.43 thf(decl_32, type, setunion: $i > $i).
% 0.51/0.43 thf(decl_33, type, setunionAx: $o).
% 0.51/0.43 thf(decl_34, type, omega: $i).
% 0.51/0.43 thf(decl_35, type, omega0Ax: $o).
% 0.51/0.43 thf(decl_36, type, omegaSAx: $o).
% 0.51/0.43 thf(decl_37, type, omegaIndAx: $o).
% 0.51/0.43 thf(decl_38, type, replAx: $o).
% 0.51/0.43 thf(decl_39, type, foundationAx: $o).
% 0.51/0.43 thf(decl_40, type, wellorderingAx: $o).
% 0.51/0.43 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.51/0.43 thf(decl_42, type, descrp: $o).
% 0.51/0.43 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.51/0.43 thf(decl_44, type, dsetconstrI: $o).
% 0.51/0.43 thf(decl_45, type, dsetconstrEL: $o).
% 0.51/0.43 thf(decl_46, type, dsetconstrER: $o).
% 0.51/0.43 thf(decl_47, type, exuE1: $o).
% 0.51/0.43 thf(decl_48, type, prop2set: $o > $i).
% 0.51/0.43 thf(decl_49, type, prop2setE: $o).
% 0.51/0.43 thf(decl_50, type, emptysetE: $o).
% 0.51/0.43 thf(decl_51, type, emptysetimpfalse: $o).
% 0.51/0.43 thf(decl_52, type, notinemptyset: $o).
% 0.51/0.43 thf(decl_53, type, exuE3e: $o).
% 0.51/0.43 thf(decl_54, type, setext: $o).
% 0.51/0.43 thf(decl_55, type, emptyI: $o).
% 0.51/0.43 thf(decl_56, type, noeltsimpempty: $o).
% 0.51/0.43 thf(decl_57, type, setbeta: $o).
% 0.51/0.43 thf(decl_58, type, nonempty: $i > $o).
% 0.51/0.43 thf(decl_59, type, nonemptyE1: $o).
% 0.51/0.43 thf(decl_60, type, nonemptyI: $o).
% 0.51/0.43 thf(decl_61, type, nonemptyI1: $o).
% 0.51/0.43 thf(decl_62, type, setadjoinIL: $o).
% 0.51/0.43 thf(decl_63, type, emptyinunitempty: $o).
% 0.51/0.43 thf(decl_64, type, setadjoinIR: $o).
% 0.51/0.43 thf(decl_65, type, setadjoinE: $o).
% 0.51/0.43 thf(decl_66, type, setadjoinOr: $o).
% 0.51/0.43 thf(decl_67, type, setoftrueEq: $o).
% 0.51/0.43 thf(decl_68, type, powersetI: $o).
% 0.51/0.43 thf(decl_69, type, emptyinPowerset: $o).
% 0.51/0.43 thf(decl_70, type, emptyInPowerset: $o).
% 0.51/0.43 thf(decl_71, type, powersetE: $o).
% 0.51/0.43 thf(decl_72, type, setunionI: $o).
% 0.51/0.43 thf(decl_73, type, setunionE: $o).
% 0.51/0.43 thf(decl_74, type, subPowSU: $o).
% 0.51/0.43 thf(decl_75, type, exuE2: $o).
% 0.51/0.43 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.51/0.43 thf(decl_77, type, uniqinunit: $o).
% 0.51/0.43 thf(decl_78, type, notinsingleton: $o).
% 0.51/0.43 thf(decl_79, type, eqinunit: $o).
% 0.51/0.43 thf(decl_80, type, singletonsswitch: $o).
% 0.51/0.43 thf(decl_81, type, upairsetE: $o).
% 0.51/0.43 thf(decl_82, type, upairsetIL: $o).
% 0.51/0.43 thf(decl_83, type, upairsetIR: $o).
% 0.51/0.43 thf(decl_84, type, emptyE1: $o).
% 0.51/0.43 thf(decl_85, type, vacuousDall: $o).
% 0.51/0.43 thf(decl_86, type, quantDeMorgan1: $o).
% 0.51/0.43 thf(decl_87, type, quantDeMorgan2: $o).
% 0.51/0.43 thf(decl_88, type, quantDeMorgan3: $o).
% 0.51/0.44 thf(decl_89, type, quantDeMorgan4: $o).
% 0.51/0.44 thf(decl_90, type, prop2setI: $o).
% 0.51/0.44 thf(decl_91, type, set2prop: $i > $o).
% 0.51/0.44 thf(decl_92, type, prop2set2propI: $o).
% 0.51/0.44 thf(decl_93, type, notdexE: $o).
% 0.51/0.44 thf(decl_94, type, notdallE: $o).
% 0.51/0.44 thf(decl_95, type, exuI1: $o).
% 0.51/0.44 thf(decl_96, type, exuI3: $o).
% 0.51/0.44 thf(decl_97, type, exuI2: $o).
% 0.51/0.44 thf(decl_98, type, inCongP: $o).
% 0.51/0.44 thf(decl_99, type, in__Cong: $o).
% 0.51/0.44 thf(decl_100, type, exuE3u: $o).
% 0.51/0.44 thf(decl_101, type, exu__Cong: $o).
% 0.51/0.44 thf(decl_102, type, emptyset__Cong: $o).
% 0.51/0.44 thf(decl_103, type, setadjoin__Cong: $o).
% 0.51/0.44 thf(decl_104, type, powerset__Cong: $o).
% 0.51/0.44 thf(decl_105, type, setunion__Cong: $o).
% 0.51/0.44 thf(decl_106, type, omega__Cong: $o).
% 0.51/0.44 thf(decl_107, type, exuEu: $o).
% 0.51/0.44 thf(decl_108, type, descr__Cong: $o).
% 0.51/0.44 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.51/0.44 thf(decl_110, type, subset: $i > $i > $o).
% 0.51/0.44 thf(decl_113, type, subsetI1: $o).
% 0.51/0.44 thf(decl_114, type, eqimpsubset2: $o).
% 0.51/0.44 thf(decl_115, type, eqimpsubset1: $o).
% 0.51/0.44 thf(decl_116, type, subsetI2: $o).
% 0.51/0.44 thf(decl_117, type, emptysetsubset: $o).
% 0.51/0.44 thf(decl_118, type, subsetE: $o).
% 0.51/0.44 thf(decl_119, type, subsetE2: $o).
% 0.51/0.44 thf(decl_120, type, notsubsetI: $o).
% 0.51/0.44 thf(decl_121, type, notequalI1: $o).
% 0.51/0.44 thf(decl_122, type, notequalI2: $o).
% 0.51/0.44 thf(decl_123, type, subsetRefl: $o).
% 0.51/0.44 thf(decl_124, type, subsetTrans: $o).
% 0.51/0.44 thf(decl_125, type, setadjoinSub: $o).
% 0.51/0.44 thf(decl_126, type, setadjoinSub2: $o).
% 0.51/0.44 thf(decl_127, type, subset2powerset: $o).
% 0.51/0.44 thf(decl_128, type, setextsub: $o).
% 0.51/0.44 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.51/0.44 thf(decl_130, type, powersetI1: $o).
% 0.51/0.44 thf(decl_131, type, powersetE1: $o).
% 0.51/0.44 thf(decl_132, type, inPowerset: $o).
% 0.51/0.44 thf(decl_133, type, powersetsubset: $o).
% 0.51/0.44 thf(decl_134, type, sepInPowerset: $o).
% 0.51/0.44 thf(decl_135, type, sepSubset: $o).
% 0.51/0.44 thf(decl_136, type, binunion: $i > $i > $i).
% 0.51/0.44 thf(decl_137, type, binunionIL: $o).
% 0.51/0.44 thf(decl_138, type, upairset2IR: $o).
% 0.51/0.44 thf(decl_139, type, binunionIR: $o).
% 0.51/0.44 thf(decl_140, type, binunionEcases: $o).
% 0.51/0.44 thf(decl_141, type, binunionE: $o).
% 0.51/0.44 thf(decl_142, type, binunionLsub: $o).
% 0.51/0.44 thf(decl_143, type, binunionRsub: $o).
% 0.51/0.44 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.51/0.44 thf(decl_145, type, binintersectI: $o).
% 0.51/0.44 thf(decl_146, type, binintersectSubset5: $o).
% 0.51/0.44 thf(decl_147, type, binintersectEL: $o).
% 0.51/0.44 thf(decl_148, type, binintersectLsub: $o).
% 0.51/0.44 thf(decl_149, type, binintersectSubset2: $o).
% 0.51/0.44 thf(decl_150, type, binintersectSubset3: $o).
% 0.51/0.44 thf(decl_151, type, binintersectER: $o).
% 0.51/0.44 thf(decl_152, type, disjointsetsI1: $o).
% 0.51/0.44 thf(decl_153, type, binintersectRsub: $o).
% 0.51/0.44 thf(decl_154, type, binintersectSubset4: $o).
% 0.51/0.44 thf(decl_155, type, binintersectSubset1: $o).
% 0.51/0.44 thf(decl_156, type, bs114d: $o).
% 0.51/0.44 thf(decl_158, type, setminus: $i > $i > $i).
% 0.51/0.44 thf(decl_159, type, setminusI: $o).
% 0.51/0.44 thf(decl_160, type, setminusEL: $o).
% 0.51/0.44 thf(decl_161, type, setminusER: $o).
% 0.51/0.44 thf(decl_162, type, setminusSubset2: $o).
% 0.51/0.44 thf(decl_163, type, setminusERneg: $o).
% 0.51/0.44 thf(decl_164, type, setminusELneg: $o).
% 0.51/0.44 thf(decl_165, type, setminusILneg: $o).
% 0.51/0.44 thf(decl_166, type, setminusIRneg: $o).
% 0.51/0.44 thf(decl_167, type, setminusLsub: $o).
% 0.51/0.44 thf(decl_168, type, setminusSubset1: $o).
% 0.51/0.44 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.51/0.44 thf(decl_170, type, symdiffE: $o).
% 0.51/0.44 thf(decl_171, type, symdiffI1: $o).
% 0.51/0.44 thf(decl_172, type, symdiffI2: $o).
% 0.51/0.44 thf(decl_173, type, symdiffIneg1: $o).
% 0.51/0.44 thf(decl_174, type, symdiffIneg2: $o).
% 0.51/0.44 thf(decl_175, type, iskpair: $i > $o).
% 0.51/0.44 thf(decl_176, type, secondinupair: $o).
% 0.51/0.44 thf(decl_177, type, setukpairIL: $o).
% 0.51/0.44 thf(decl_178, type, setukpairIR: $o).
% 0.51/0.44 thf(decl_179, type, kpairiskpair: $o).
% 0.51/0.44 thf(decl_180, type, kpair: $i > $i > $i).
% 0.51/0.44 thf(decl_181, type, kpairp: $o).
% 0.51/0.44 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.51/0.44 thf(decl_183, type, singletonsubset: $o).
% 0.51/0.44 thf(decl_184, type, singletoninpowerset: $o).
% 0.51/0.44 thf(decl_185, type, singletoninpowunion: $o).
% 0.51/0.44 thf(decl_186, type, upairset2E: $o).
% 0.51/0.44 thf(decl_187, type, upairsubunion: $o).
% 0.51/0.44 thf(decl_188, type, upairinpowunion: $o).
% 0.51/0.44 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.51/0.44 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.51/0.44 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.51/0.44 thf(decl_192, type, cartprodpairin: $o).
% 0.51/0.44 thf(decl_193, type, cartprodmempair1: $o).
% 0.51/0.44 thf(decl_194, type, cartprodmempair: $o).
% 0.51/0.44 thf(decl_195, type, setunionE2: $o).
% 0.51/0.44 thf(decl_196, type, setunionsingleton1: $o).
% 0.51/0.44 thf(decl_197, type, setunionsingleton2: $o).
% 0.51/0.44 thf(decl_198, type, setunionsingleton: $o).
% 0.51/0.44 thf(decl_199, type, singleton: $i > $o).
% 0.51/0.44 thf(decl_200, type, singletonprop: $o).
% 0.51/0.44 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 0.51/0.44 thf(decl_202, type, ex1E1: $o).
% 0.51/0.44 thf(decl_203, type, ex1I: $o).
% 0.51/0.44 thf(decl_204, type, ex1I2: $o).
% 0.51/0.44 thf(decl_205, type, singletonsuniq: $o).
% 0.51/0.44 thf(decl_210, type, setukpairinjL1: $o).
% 0.51/0.44 thf(decl_211, type, kfstsingleton: $o).
% 0.51/0.44 thf(decl_212, type, theprop: $o).
% 0.51/0.44 thf(decl_213, type, kfst: $i > $i).
% 0.51/0.44 thf(decl_214, type, kfstpairEq: $o).
% 0.51/0.44 thf(decl_215, type, cartprodfstin: $o).
% 0.51/0.44 thf(decl_216, type, setukpairinjL2: $o).
% 0.51/0.44 thf(decl_217, type, setukpairinjL: $o).
% 0.51/0.44 thf(decl_218, type, setukpairinjR11: $o).
% 0.51/0.44 thf(decl_219, type, setukpairinjR12: $o).
% 0.51/0.44 thf(decl_220, type, setukpairinjR1: $o).
% 0.51/0.44 thf(decl_221, type, upairequniteq: $o).
% 0.51/0.44 thf(decl_222, type, setukpairinjR2: $o).
% 0.51/0.44 thf(decl_223, type, setukpairinjR: $o).
% 0.51/0.44 thf(decl_224, type, ksndsingleton: $o).
% 0.51/0.44 thf(decl_225, type, ksnd: $i > $i).
% 0.51/0.44 thf(decl_226, type, ksndpairEq: $o).
% 0.51/0.44 thf(decl_227, type, kpairsurjEq: $o).
% 0.51/0.44 thf(decl_228, type, cartprodsndin: $o).
% 0.51/0.44 thf(decl_229, type, cartprodpairmemEL: $o).
% 0.51/0.44 thf(decl_230, type, cartprodpairmemER: $o).
% 0.51/0.44 thf(decl_231, type, cartprodmempaircEq: $o).
% 0.51/0.44 thf(decl_232, type, cartprodfstpairEq: $o).
% 0.51/0.44 thf(decl_233, type, cartprodsndpairEq: $o).
% 0.51/0.44 thf(decl_234, type, cartprodpairsurjEq: $o).
% 0.51/0.44 thf(decl_235, type, breln: $i > $i > $i > $o).
% 0.51/0.44 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.51/0.44 thf(decl_237, type, dpsetconstrI: $o).
% 0.51/0.44 thf(decl_238, type, dpsetconstrSub: $o).
% 0.51/0.44 thf(decl_239, type, setOfPairsIsBReln: $o).
% 0.51/0.44 thf(decl_240, type, dpsetconstrERa: $o).
% 0.51/0.44 thf(decl_241, type, dpsetconstrEL1: $o).
% 0.51/0.44 thf(decl_242, type, epred1_0: $o).
% 0.51/0.44 thf(decl_243, type, esk1_2: $i > $i > $i).
% 0.51/0.44 thf(decl_244, type, esk2_2: $i > $i > $i).
% 0.51/0.44 thf(decl_245, type, esk3_2: $i > $i > $i).
% 0.51/0.44 thf(decl_246, type, esk4_1: $i > $i).
% 0.51/0.44 thf(decl_247, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.51/0.44 thf(decl_248, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.51/0.44 thf(decl_249, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.51/0.44 thf(decl_250, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.51/0.44 thf(decl_251, type, esk9_1: $i > $i).
% 0.51/0.44 thf(decl_252, type, esk10_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_253, type, esk11_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_254, type, esk12_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_255, type, esk13_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_256, type, esk14_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_257, type, esk15_2: $i > $i > $i).
% 0.51/0.44 thf(decl_258, type, esk16_2: $i > $i > $i).
% 0.51/0.44 thf(decl_259, type, esk17_1: $i > $i).
% 0.51/0.44 thf(decl_260, type, esk18_1: $i > $i).
% 0.51/0.44 thf(decl_261, type, esk19_1: $i > $i).
% 0.51/0.44 thf(decl_262, type, esk20_2: $i > $i > $i).
% 0.51/0.44 thf(decl_263, type, esk21_3: $i > $i > $o > $i).
% 0.51/0.44 thf(decl_264, type, esk22_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_265, type, esk23_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_266, type, esk24_1: $i > $i).
% 0.51/0.44 thf(decl_267, type, esk25_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_268, type, esk26_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_269, type, esk27_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_270, type, esk28_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_271, type, esk29_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_272, type, esk30_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_273, type, esk31_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_274, type, esk32_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_275, type, esk33_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_276, type, esk34_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_277, type, esk35_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_278, type, esk36_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_279, type, esk37_1: ($i > $o) > $i).
% 0.51/0.44 thf(decl_280, type, esk38_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_281, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_282, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_283, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_284, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_285, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_286, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_287, type, esk45_2: ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_288, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_289, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_290, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_291, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_292, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_293, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.51/0.44 thf(decl_294, type, esk52_2: $i > $i > $i).
% 0.51/0.44 thf(decl_295, type, esk53_2: $i > $i > $i).
% 0.51/0.44 thf(decl_296, type, esk54_2: $i > $i > $i).
% 0.51/0.44 thf(decl_297, type, esk55_3: $i > $i > $i > $i).
% 0.51/0.44 thf(decl_298, type, esk56_3: $i > $i > $i > $i).
% 0.51/0.44 thf(decl_299, type, esk57_2: $i > $i > $i).
% 0.51/0.44 thf(decl_300, type, esk58_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_301, type, esk59_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_302, type, esk60_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_303, type, esk61_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_304, type, esk62_3: $i > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_305, type, esk63_3: $i > ($i > $o) > $i > $i).
% 0.51/0.44 thf(decl_306, type, esk64_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_307, type, esk65_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_308, type, esk66_2: $i > ($i > $o) > $i).
% 0.51/0.44 thf(decl_309, type, esk67_1: $i > $i).
% 0.51/0.44 thf(decl_310, type, esk68_1: $i > $i).
% 0.51/0.44 thf(decl_311, type, esk69_0: $i).
% 0.51/0.44 thf(decl_312, type, esk70_0: $i).
% 0.51/0.44 thf(decl_313, type, epred2_0: $i > $i > $o).
% 0.51/0.44 thf(decl_314, type, esk71_0: $i).
% 0.51/0.44 thf(decl_315, type, esk72_0: $i).
% 0.51/0.44 thf(decl_321, type, epred3_3: ($i > $i > $o) > $i > $i > $i > $o).
% 0.51/0.44 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ex1)).
% 0.51/0.44 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singleton)).
% 0.51/0.44 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', replAx)).
% 0.51/0.44 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exu)).
% 0.51/0.44 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', descrp)).
% 0.51/0.44 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuE1)).
% 0.51/0.44 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuE3e)).
% 0.51/0.44 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', nonempty)).
% 0.51/0.44 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', nonemptyI)).
% 0.51/0.44 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuE2)).
% 0.51/0.44 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.wJ4UyiIDcx/E---3.1_3211258.p', exuI1)).
% 0.51/0.44 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuI3)).
% 0.51/0.44 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuI2)).
% 0.51/0.44 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.wJ4UyiIDcx/E---3.1_3211258.p', exuE3u)).
% 0.51/0.44 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exu__Cong)).
% 0.51/0.44 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', exuEu)).
% 0.51/0.44 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', descr__Cong)).
% 0.51/0.44 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletonprop)).
% 0.51/0.44 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ex1E1)).
% 0.51/0.44 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.wJ4UyiIDcx/E---3.1_3211258.p', ex1I)).
% 0.51/0.44 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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ex1I2)).
% 0.51/0.44 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', kfstsingleton)).
% 0.51/0.44 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ksndsingleton)).
% 0.51/0.44 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setOfPairsIsBReln)).
% 0.51/0.44 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', breln)).
% 0.51/0.44 thf(dpsetconstrEL2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((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)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(in @ X3 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstrEL2)).
% 0.51/0.44 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dsetconstrI)).
% 0.51/0.44 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dsetconstrEL)).
% 0.51/0.44 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dsetconstrER)).
% 0.51/0.44 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setbeta)).
% 0.51/0.44 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', nonemptyE1)).
% 0.51/0.44 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', nonemptyI1)).
% 0.51/0.44 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setoftrueEq)).
% 0.51/0.44 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', nonemptyImpWitness)).
% 0.51/0.44 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.wJ4UyiIDcx/E---3.1_3211258.p', emptyE1)).
% 0.51/0.44 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dsetconstr__Cong)).
% 0.51/0.44 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', sepInPowerset)).
% 0.51/0.44 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', sepSubset)).
% 0.51/0.44 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', theprop)).
% 0.51/0.44 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X23 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstrI)).
% 0.51/0.44 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstrSub)).
% 0.51/0.44 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(X26 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstrERa)).
% 0.51/0.44 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstrEL1)).
% 0.51/0.44 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setextAx)).
% 0.51/0.44 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptysetAx)).
% 0.51/0.44 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinAx)).
% 0.51/0.44 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetAx)).
% 0.51/0.44 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionAx)).
% 0.51/0.44 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', omega0Ax)).
% 0.51/0.44 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', omegaSAx)).
% 0.51/0.44 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.wJ4UyiIDcx/E---3.1_3211258.p', omegaIndAx)).
% 0.51/0.44 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.wJ4UyiIDcx/E---3.1_3211258.p', foundationAx)).
% 0.51/0.44 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', wellorderingAx)).
% 0.51/0.44 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', prop2setE)).
% 0.51/0.44 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptysetE)).
% 0.51/0.44 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptysetimpfalse)).
% 0.51/0.44 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notinemptyset)).
% 0.51/0.44 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.wJ4UyiIDcx/E---3.1_3211258.p', setext)).
% 0.51/0.44 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptyI)).
% 0.51/0.44 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', noeltsimpempty)).
% 0.51/0.44 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinIL)).
% 0.51/0.44 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptyinunitempty)).
% 0.51/0.44 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinIR)).
% 0.51/0.44 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinE)).
% 0.51/0.44 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinOr)).
% 0.51/0.44 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetI)).
% 0.51/0.44 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptyinPowerset)).
% 0.51/0.44 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptyInPowerset)).
% 0.51/0.44 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetE)).
% 0.51/0.44 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionI)).
% 0.51/0.44 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionE)).
% 0.51/0.44 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subPowSU)).
% 0.51/0.44 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', uniqinunit)).
% 0.51/0.44 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notinsingleton)).
% 0.51/0.44 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', eqinunit)).
% 0.51/0.44 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletonsswitch)).
% 0.51/0.44 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairsetE)).
% 0.51/0.44 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairsetIL)).
% 0.51/0.44 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairsetIR)).
% 0.51/0.44 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', vacuousDall)).
% 0.51/0.44 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', quantDeMorgan1)).
% 0.51/0.44 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', quantDeMorgan2)).
% 0.51/0.44 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', quantDeMorgan3)).
% 0.51/0.44 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', quantDeMorgan4)).
% 0.51/0.44 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', prop2setI)).
% 0.51/0.44 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', prop2set2propI)).
% 0.51/0.44 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notdexE)).
% 0.51/0.44 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notdallE)).
% 0.51/0.44 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', inCongP)).
% 0.51/0.44 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', in__Cong)).
% 0.51/0.44 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptyset__Cong)).
% 0.51/0.44 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoin__Cong)).
% 0.51/0.44 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powerset__Cong)).
% 0.51/0.44 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunion__Cong)).
% 0.51/0.44 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', omega__Cong)).
% 0.51/0.44 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetI1)).
% 0.51/0.44 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', eqimpsubset2)).
% 0.51/0.44 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', eqimpsubset1)).
% 0.51/0.44 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetI2)).
% 0.51/0.44 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', emptysetsubset)).
% 0.51/0.44 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetE)).
% 0.51/0.44 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetE2)).
% 0.51/0.44 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notsubsetI)).
% 0.51/0.44 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notequalI1)).
% 0.51/0.44 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', notequalI2)).
% 0.51/0.44 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetRefl)).
% 0.51/0.44 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetTrans)).
% 0.51/0.44 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinSub)).
% 0.51/0.44 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setadjoinSub2)).
% 0.51/0.44 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subset2powerset)).
% 0.51/0.44 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setextsub)).
% 0.51/0.44 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', subsetemptysetimpeq)).
% 0.51/0.44 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetI1)).
% 0.51/0.44 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetE1)).
% 0.51/0.44 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', inPowerset)).
% 0.51/0.44 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', powersetsubset)).
% 0.51/0.44 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionIL)).
% 0.51/0.44 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairset2IR)).
% 0.51/0.44 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionIR)).
% 0.51/0.44 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionEcases)).
% 0.51/0.44 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionE)).
% 0.51/0.44 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionLsub)).
% 0.51/0.44 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binunionRsub)).
% 0.51/0.44 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectI)).
% 0.51/0.44 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectSubset5)).
% 0.51/0.44 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectEL)).
% 0.51/0.44 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectLsub)).
% 0.51/0.44 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectSubset2)).
% 0.51/0.44 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectSubset3)).
% 0.51/0.44 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectER)).
% 0.51/0.44 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', disjointsetsI1)).
% 0.51/0.44 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectRsub)).
% 0.51/0.44 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectSubset4)).
% 0.51/0.44 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', binintersectSubset1)).
% 0.51/0.44 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', bs114d)).
% 0.51/0.44 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusI)).
% 0.51/0.44 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusEL)).
% 0.51/0.44 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusER)).
% 0.51/0.44 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusSubset2)).
% 0.51/0.44 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusERneg)).
% 0.51/0.44 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusELneg)).
% 0.51/0.44 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusILneg)).
% 0.51/0.44 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusIRneg)).
% 0.51/0.44 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusLsub)).
% 0.51/0.44 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setminusSubset1)).
% 0.51/0.44 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', symdiffE)).
% 0.51/0.44 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', symdiffI1)).
% 0.51/0.44 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', symdiffI2)).
% 0.51/0.44 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', symdiffIneg1)).
% 0.51/0.44 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', symdiffIneg2)).
% 0.51/0.44 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', secondinupair)).
% 0.51/0.44 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairIL)).
% 0.51/0.44 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairIR)).
% 0.51/0.44 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', kpairiskpair)).
% 0.51/0.44 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', kpairp)).
% 0.51/0.44 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletonsubset)).
% 0.51/0.44 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletoninpowerset)).
% 0.51/0.44 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletoninpowunion)).
% 0.51/0.44 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairset2E)).
% 0.51/0.44 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairsubunion)).
% 0.51/0.44 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairinpowunion)).
% 0.51/0.44 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ubforcartprodlem1)).
% 0.51/0.44 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ubforcartprodlem2)).
% 0.51/0.44 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ubforcartprodlem3)).
% 0.51/0.44 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodpairin)).
% 0.51/0.44 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.wJ4UyiIDcx/E---3.1_3211258.p', cartprodmempair1)).
% 0.51/0.44 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodmempair)).
% 0.51/0.44 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionE2)).
% 0.51/0.44 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionsingleton1)).
% 0.51/0.44 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionsingleton2)).
% 0.51/0.44 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setunionsingleton)).
% 0.51/0.44 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', singletonsuniq)).
% 0.51/0.44 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjL1)).
% 0.51/0.44 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', kfstpairEq)).
% 0.51/0.44 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodfstin)).
% 0.51/0.44 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjL2)).
% 0.51/0.44 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjL)).
% 0.51/0.44 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjR11)).
% 0.51/0.44 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjR12)).
% 0.51/0.44 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjR1)).
% 0.51/0.44 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', upairequniteq)).
% 0.51/0.44 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjR2)).
% 0.51/0.44 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', setukpairinjR)).
% 0.51/0.44 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', ksndpairEq)).
% 0.51/0.44 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', kpairsurjEq)).
% 0.51/0.44 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodsndin)).
% 0.51/0.44 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodpairmemEL)).
% 0.51/0.44 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodpairmemER)).
% 0.51/0.44 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodmempaircEq)).
% 0.51/0.44 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodfstpairEq)).
% 0.51/0.44 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodsndpairEq)).
% 0.51/0.44 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', cartprodpairsurjEq)).
% 0.51/0.44 thf(dpsetconstr, axiom, ((dpsetconstr)=(^[X4:$i, X5:$i, X22:$i > $i > $o]:(dsetconstr @ (cartprod @ X4 @ X5) @ (^[X18:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(?[X3:$i]:((((((in @ X3 @ X5))&((X22 @ X2 @ X3))))&(((X18)=(kpair @ X2 @ X3))))))))))))), file('/export/starexec/sandbox/tmp/tmp.wJ4UyiIDcx/E---3.1_3211258.p', dpsetconstr)).
% 0.51/0.44 thf(c_0_193, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X582:$i]:((((in @ X582 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X582 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 0.51/0.44 thf(c_0_194, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 0.51/0.44 thf(c_0_195, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.51/0.44 thf(c_0_196, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.51/0.44 thf(c_0_197, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.51/0.44 thf(c_0_198, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.51/0.44 thf(c_0_199, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.51/0.44 thf(c_0_200, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.51/0.44 thf(c_0_201, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.51/0.44 thf(c_0_202, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.51/0.44 thf(c_0_203, 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])).
% 0.51/0.44 thf(c_0_204, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.51/0.44 thf(c_0_205, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.51/0.44 thf(c_0_206, 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])).
% 0.51/0.44 thf(c_0_207, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.51/0.44 thf(c_0_208, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.51/0.44 thf(c_0_209, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.51/0.44 thf(c_0_210, plain, ((singletonprop)<=>![X4:$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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.51/0.44 thf(c_0_211, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 0.51/0.44 thf(c_0_212, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X582:$i]:((((in @ X582 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X582 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_193, c_0_194])).
% 0.51/0.44 thf(c_0_213, 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])).
% 0.51/0.44 thf(c_0_214, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 0.51/0.44 thf(c_0_215, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 0.51/0.44 thf(c_0_216, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 0.51/0.44 thf(c_0_217, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 0.51/0.44 thf(c_0_218, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 0.51/0.44 thf(c_0_219, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((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)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(in @ X3 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[dpsetconstrEL2])).
% 0.51/0.44 thf(c_0_220, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X553:$i]:(((((X6 @ X2 @ X553)))&(![X554:$i]:(((((X6 @ X2 @ X554)))=>(((X553)=(X554)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_195, c_0_196])).
% 0.51/0.44 thf(c_0_221, plain, ((descrp)=(![X1:$i > $o]:((((?[X555:$i]:(((((X1 @ X555)))&(![X556:$i]:(((((X1 @ X556)))=>(((X555)=(X556))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_197, c_0_196])).
% 0.51/0.44 thf(c_0_222, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.51/0.44 thf(c_0_223, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.51/0.44 thf(c_0_224, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.51/0.44 thf(c_0_225, plain, ((exuE1)=(![X1:$i > $o]:((((?[X557:$i]:(((((X1 @ X557)))&(![X558:$i]:(((((X1 @ X558)))=>(((X557)=(X558))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_198, c_0_196])).
% 0.51/0.44 thf(c_0_226, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X559:$i]:(((((X1 @ X559)))&(![X560:$i]:(((((X1 @ X560)))=>(((X559)=(X560))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_199, c_0_196])).
% 0.51/0.44 thf(c_0_227, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.51/0.44 thf(c_0_228, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_200])).
% 0.51/0.44 thf(c_0_229, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_201, c_0_200])).
% 0.51/0.44 thf(c_0_230, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_200])).
% 0.51/0.44 thf(c_0_231, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.51/0.44 thf(c_0_232, plain, ((exuE2)=(![X1:$i > $o]:((((?[X561:$i]:(((((X1 @ X561)))&(![X562:$i]:(((((X1 @ X562)))=>(((X561)=(X562))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_202, c_0_196])).
% 0.51/0.44 thf(c_0_233, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_200])).
% 0.51/0.44 thf(c_0_234, 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])).
% 0.51/0.44 thf(c_0_235, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X563:$i]:(((((X1 @ X563)))&(![X564:$i]:(((((X1 @ X564)))=>(((X563)=(X564)))))))))))))), inference(apply_def,[status(thm)],[c_0_203, c_0_196])).
% 0.51/0.44 thf(c_0_236, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X565:$i]:(((((X1 @ X565)))&(![X566:$i]:(((((X1 @ X566)))=>(((X565)=(X566)))))))))))))))), inference(apply_def,[status(thm)],[c_0_204, c_0_196])).
% 0.51/0.44 thf(c_0_237, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X567:$i]:(((((X1 @ X567)))&(![X568:$i]:(((((X1 @ X568)))=>(((X567)=(X568)))))))))))))), inference(apply_def,[status(thm)],[c_0_205, c_0_196])).
% 0.51/0.44 thf(c_0_238, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X569:$i]:(((((X1 @ X569)))&(![X570:$i]:(((((X1 @ X570)))=>(((X569)=(X570))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_206, c_0_196])).
% 0.51/0.44 thf(c_0_239, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X571:$i]:(((((X1 @ X571)))&(![X572:$i]:(((((X1 @ X572)))=>(((X571)=(X572))))))))))<=>((?[X573:$i]:(((((X17 @ X573)))&(![X574:$i]:(((((X17 @ X574)))=>(((X573)=(X574)))))))))))))))), inference(apply_def,[status(thm)],[c_0_207, c_0_196])).
% 0.51/0.44 thf(c_0_240, plain, ((exuEu)=(![X1:$i > $o]:((((?[X575:$i]:(((((X1 @ X575)))&(![X576:$i]:(((((X1 @ X576)))=>(((X575)=(X576))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_208, c_0_196])).
% 0.51/0.44 thf(c_0_241, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X577:$i]:(((((X1 @ X577)))&(![X578:$i]:(((((X1 @ X578)))=>(((X577)=(X578))))))))))=>((((?[X579:$i]:(((((X17 @ X579)))&(![X580:$i]:(((((X17 @ X580)))=>(((X579)=(X580))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_209, c_0_196])).
% 0.51/0.44 thf(c_0_242, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.51/0.44 thf(c_0_243, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.51/0.44 thf(c_0_244, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.51/0.44 thf(c_0_245, 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)))))=>((?[X581:$i]:((((in @ X581 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X581 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_210, c_0_194])).
% 0.51/0.44 thf(c_0_246, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X583:$i]:((((in @ X583 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X583 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_211, c_0_212])).
% 0.51/0.44 thf(c_0_247, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X584:$i]:((((in @ X584 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X584 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_212])).
% 0.51/0.44 thf(c_0_248, 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)))))=>((?[X585:$i]:((((in @ X585 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X585 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_214, c_0_212])).
% 0.51/0.44 thf(c_0_249, plain, ((kfstsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X586:$i]:((((in @ X586 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X586 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_215, c_0_194])).
% 0.51/0.44 thf(c_0_250, axiom, ((theprop)=(![X21:$i]:((((?[X587:$i]:((((in @ X587 @ X21))&(((X21)=(setadjoin @ X587 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_194])).
% 0.51/0.44 thf(c_0_251, plain, ((ksndsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X588:$i]:((((in @ X588 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X588 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_216, c_0_194])).
% 0.51/0.44 thf(c_0_252, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 0.51/0.44 thf(c_0_253, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 0.51/0.44 thf(c_0_254, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X25:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_217, c_0_218])).
% 0.51/0.44 thf(c_0_255, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(X26 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 0.51/0.44 thf(c_0_256, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 0.51/0.44 thf(c_0_257, plain, ((epred1_0)<=>![X618:$i]:(?[X619:$i]:((((![X620:$i]:(((in @ X620 @ X619)=>![X621:$i]:(((in @ X621 @ X620)=>(in @ X621 @ X618)))))&![X622:$i, X623:$i]:((((in @ X622 @ X618)&(in @ X623 @ X618))=>(![X624:$i]:(((in @ X624 @ X619)=>((in @ X622 @ X624)<=>(in @ X623 @ X624))))=>((X622)=(X623))))))&![X625:$i, X626:$i]:((((in @ X625 @ X619)&(in @ X626 @ X619))=>(![X627:$i]:(((in @ X627 @ X625)=>(in @ X627 @ X626)))|![X628:$i]:(((in @ X628 @ X626)=>(in @ X628 @ X625)))))))&![X629:$i]:(((![X630:$i]:(((in @ X630 @ X629)=>(in @ X630 @ X618)))&?[X631:$i]:((in @ X631 @ X629)))=>?[X632:$i, X633:$i]:(((((in @ X632 @ X619)&(in @ X633 @ X629))&~(?[X634:$i]:(((in @ X634 @ X632)&(in @ X634 @ X629)))))&![X635:$i]:(((in @ X635 @ X619)=>(![X636:$i]:(((in @ X636 @ X635)=>(in @ X636 @ X632)))|(in @ X633 @ X635)))))))))))), introduced(definition)).
% 0.51/0.44 thf(c_0_258, negated_conjecture, ~((![X589:$i, X590:$i]:((![X591:$i]:(((in @ X591 @ X589)<=>(in @ X591 @ X590)))=>((X589)=(X590))))=>(![X592:$i]:(~(in @ X592 @ emptyset))=>(![X593:$i, X594:$i, X595:$i]:(((in @ X595 @ (setadjoin @ X593 @ X594))<=>(((X595)=(X593))|(in @ X595 @ X594))))=>(![X596:$i, X597:$i]:(((in @ X597 @ (powerset @ X596))<=>![X598:$i]:(((in @ X598 @ X597)=>(in @ X598 @ X596)))))=>(![X599:$i, X600:$i]:(((in @ X600 @ (setunion @ X599))<=>?[X601:$i]:(((in @ X600 @ X601)&(in @ X601 @ X599)))))=>((in @ emptyset @ omega)=>(![X602:$i]:(((in @ X602 @ omega)=>(in @ (setadjoin @ X602 @ X602) @ omega)))=>(![X603:$i]:((((in @ emptyset @ X603)&![X604:$i]:((((in @ X604 @ omega)&(in @ X604 @ X603))=>(in @ (setadjoin @ X604 @ X604) @ X603))))=>![X605:$i]:(((in @ X605 @ omega)=>(in @ X605 @ X603)))))=>(![X606:$i > $i > $o, X607:$i]:((![X608:$i]:(((in @ X608 @ X607)=>?[X609:$i]:(((X606 @ X608 @ X609)&![X610:$i]:(((X606 @ X608 @ X610)=>((X609)=(X610))))))))=>?[X611:$i]:(![X612:$i]:(((in @ X612 @ X611)<=>?[X613:$i]:(((in @ X613 @ X607)&(X606 @ X613 @ X612))))))))=>(![X614:$i]:((?[X615:$i]:((in @ X615 @ X614))=>?[X616:$i]:(((in @ X616 @ X614)&~(?[X617:$i]:(((in @ X617 @ X616)&(in @ X617 @ X614))))))))=>((epred1_0)=>(![X637:$i > $o]:((?[X638:$i]:(((X637 @ X638)&![X639:$i]:(((X637 @ X639)=>((X638)=(X639))))))=>(X637 @ (descr @ (^[Z0:$i]:(X637 @ Z0))))))=>(![X640:$i, X641:$i > $o, X642:$i]:(((in @ X642 @ X640)=>((X641 @ X642)=>(in @ X642 @ (dsetconstr @ X640 @ X641)))))=>(![X643:$i, X644:$i > $o, X645:$i]:(((in @ X645 @ (dsetconstr @ X643 @ X644))=>(in @ X645 @ X643)))=>(![X646:$i, X647:$i > $o, X648:$i]:(((in @ X648 @ (dsetconstr @ X646 @ X647))=>(X647 @ X648)))=>(![X649:$i > $o]:((?[X650:$i]:(((X649 @ X650)&![X651:$i]:(((X649 @ X651)=>((X650)=(X651))))))=>?[X652:$i]:(((X649 @ X652)&![X653:$i]:(((X649 @ X653)=>((X652)=(X653))))))))=>(![X654:$o, X655:$i]:(((in @ X655 @ (prop2set @ ((X654))))=>(X654)))=>(![X656:$i]:(((in @ X656 @ emptyset)=>![X657:$o]:((X657))))=>(![X658:$i]:(((in @ X658 @ emptyset)=>~($true)))=>(![X659:$i]:(~(in @ X659 @ emptyset))=>(![X660:$i > $o]:((?[X661:$i]:(((X660 @ X661)&![X662:$i]:(((X660 @ X662)=>((X661)=(X662))))))=>?[X663:$i]:((X660 @ X663))))=>(![X664:$i, X665:$i]:((![X666:$i]:(((in @ X666 @ X664)=>(in @ X666 @ X665)))=>(![X667:$i]:(((in @ X667 @ X665)=>(in @ X667 @ X664)))=>((X664)=(X665)))))=>(![X668:$i]:((![X669:$i]:(~(in @ X669 @ X668))=>((X668)=(emptyset))))=>(![X670:$i]:((![X671:$i]:(~(in @ X671 @ X670))=>((X670)=(emptyset))))=>(![X672:$i, X673:$i > $o, X674:$i]:(((in @ X674 @ X672)=>((in @ X674 @ (dsetconstr @ X672 @ X673))<=>(X673 @ X674))))=>(![X675:$i]:((((X675)!=(emptyset))=>?[X676:$i]:((in @ X676 @ X675))))=>(![X677:$i, X678:$i > $o, X679:$i]:(((in @ X679 @ X677)=>((X678 @ X679)=>((dsetconstr @ X677 @ X678)!=(emptyset)))))=>(![X680:$i]:((?[X681:$i]:((in @ X681 @ X680))=>((X680)!=(emptyset))))=>(![X682:$i, X683:$i]:((in @ X682 @ (setadjoin @ X682 @ X683)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X684:$i, X685:$i, X686:$i]:(((in @ X686 @ X685)=>(in @ X686 @ (setadjoin @ X684 @ X685))))=>(![X687:$i, X688:$i, X689:$i]:(((in @ X689 @ (setadjoin @ X687 @ X688))=>![X690:$o]:(((((X689)=(X687))=>(X690))=>(((in @ X689 @ X688)=>(X690))=>(X690))))))=>(![X691:$i, X692:$i, X693:$i]:(((in @ X693 @ (setadjoin @ X691 @ X692))=>(((X693)=(X691))|(in @ X693 @ X692))))=>(![X694:$i]:(((dsetconstr @ X694 @ (^[Z0:$i]:($true)))=(X694)))=>(![X695:$i, X696:$i]:((![X697:$i]:(((in @ X697 @ X696)=>(in @ X697 @ X695)))=>(in @ X696 @ (powerset @ X695))))=>(![X698:$i]:((in @ emptyset @ (powerset @ X698)))=>(![X699:$i]:((in @ emptyset @ (powerset @ X699)))=>(![X700:$i, X701:$i, X702:$i]:(((in @ X701 @ (powerset @ X700))=>((in @ X702 @ X701)=>(in @ X702 @ X700))))=>(![X703:$i, X704:$i, X705:$i]:(((in @ X704 @ X705)=>((in @ X705 @ X703)=>(in @ X704 @ (setunion @ X703)))))=>(![X706:$i, X707:$i]:(((in @ X707 @ (setunion @ X706))=>![X708:$o]:((![X709:$i]:(((in @ X707 @ X709)=>((in @ X709 @ X706)=>(X708))))=>(X708)))))=>(![X710:$i, X711:$i]:(((in @ X711 @ X710)=>(in @ X711 @ (powerset @ (setunion @ X710)))))=>(![X712:$i > $o]:((?[X713:$i]:(((X712 @ X713)&![X714:$i]:(((X712 @ X714)=>((X713)=(X714))))))=>?[X715:$i]:(![X716:$i]:(((X712 @ X716)<=>((X716)=(X715)))))))=>(![X717:$i]:((((X717)!=(emptyset))=>?[X718:$i]:(((in @ X718 @ X717)&$true))))=>(![X719:$i, X720:$i]:(((in @ X719 @ (setadjoin @ X720 @ emptyset))=>((X719)=(X720))))=>(![X721:$i, X722:$i]:((((X721)!=(X722))=>~(in @ X722 @ (setadjoin @ X721 @ emptyset))))=>(![X723:$i, X724:$i]:((((X723)=(X724))=>(in @ X723 @ (setadjoin @ X724 @ emptyset))))=>(![X725:$i, X726:$i]:(((in @ X725 @ (setadjoin @ X726 @ emptyset))=>(in @ X726 @ (setadjoin @ X725 @ emptyset))))=>(![X727:$i, X728:$i, X729:$i]:(((in @ X729 @ (setadjoin @ X727 @ (setadjoin @ X728 @ emptyset)))=>(((X729)=(X727))|((X729)=(X728)))))=>(![X730:$i, X731:$i]:((in @ X730 @ (setadjoin @ X730 @ (setadjoin @ X731 @ emptyset))))=>(![X732:$i, X733:$i]:((in @ X733 @ (setadjoin @ X732 @ (setadjoin @ X733 @ emptyset))))=>(![X734:$i, X735:$i > $o]:((?[X736:$i]:(((in @ X736 @ X734)&(X735 @ X736)))=>(((dsetconstr @ X734 @ X735)=(emptyset))=>~($true))))=>(![X737:$i > $o, X738:$i]:(((in @ X738 @ emptyset)=>(X737 @ X738)))=>(![X739:$i, X740:$i > $o]:((~(![X741:$i]:(((in @ X741 @ X739)=>(X740 @ X741))))=>?[X742:$i]:(((in @ X742 @ X739)&~((X740 @ X742))))))=>(![X743:$i, X744:$i > $o]:((![X745:$i]:(((in @ X745 @ X743)=>~((X744 @ X745))))=>~(?[X746:$i]:(((in @ X746 @ X743)&(X744 @ X746))))))=>(![X747:$i, X748:$i > $o]:((~(?[X749:$i]:(((in @ X749 @ X747)&(X748 @ X749))))=>![X750:$i]:(((in @ X750 @ X747)=>~((X748 @ X750))))))=>(![X751:$i, X752:$i > $o]:((?[X753:$i]:(((in @ X753 @ X751)&~((X752 @ X753))))=>~(![X754:$i]:(((in @ X754 @ X751)=>(X752 @ X754))))))=>(![X755:$o]:(((X755)=>(in @ emptyset @ (prop2set @ ((X755))))))=>(![X756:$o]:(((X756)=>(set2prop @ (prop2set @ ((X756))))))=>(![X757:$i, X758:$i > $o]:((~(?[X759:$i]:(((in @ X759 @ X757)&(X758 @ X759))))=>![X760:$i]:(((in @ X760 @ X757)=>~((X758 @ X760))))))=>(![X761:$i, X762:$i > $o]:((~(![X763:$i]:(((in @ X763 @ X761)=>(X762 @ X763))))=>?[X764:$i]:(((in @ X764 @ X761)&~((X762 @ X764))))))=>(![X765:$i > $o]:((?[X766:$i]:(((X765 @ X766)&![X767:$i]:(((X765 @ X767)=>((X766)=(X767))))))=>?[X768:$i]:(((X765 @ X768)&![X769:$i]:(((X765 @ X769)=>((X768)=(X769))))))))=>(![X770:$i > $o]:((?[X771:$i]:((X770 @ X771))=>(![X772:$i, X773:$i]:(((X770 @ X772)=>((X770 @ X773)=>((X772)=(X773)))))=>?[X774:$i]:(((X770 @ X774)&![X775:$i]:(((X770 @ X775)=>((X774)=(X775)))))))))=>(![X776:$i > $o]:((?[X777:$i]:(![X778:$i]:(((X776 @ X778)<=>((X778)=(X777)))))=>?[X779:$i]:(((X776 @ X779)&![X780:$i]:(((X776 @ X780)=>((X779)=(X780))))))))=>(![X781:$i, X782:$i]:((((X781)=(X782))=>![X783:$i, X784:$i]:((((X783)=(X784))=>((in @ X783 @ X781)=>(in @ X784 @ X782))))))=>(![X785:$i, X786:$i]:((((X785)=(X786))=>![X787:$i, X788:$i]:((((X787)=(X788))=>((in @ X787 @ X785)<=>(in @ X788 @ X786))))))=>(![X789:$i > $o]:((?[X790:$i]:(((X789 @ X790)&![X791:$i]:(((X789 @ X791)=>((X790)=(X791))))))=>![X792:$i, X793:$i]:(((X789 @ X792)=>((X789 @ X793)=>((X792)=(X793)))))))=>(![X794:$i > $o, X795:$i > $o]:((![X796:$i, X797:$i]:((((X796)=(X797))=>((X794 @ X796)<=>(X795 @ X797))))=>(?[X798:$i]:(((X794 @ X798)&![X799:$i]:(((X794 @ X799)=>((X798)=(X799))))))<=>?[X800:$i]:(((X795 @ X800)&![X801:$i]:(((X795 @ X801)=>((X800)=(X801)))))))))=>(((emptyset)=(emptyset))=>(![X802:$i, X803:$i]:((((X802)=(X803))=>![X804:$i, X805:$i]:((((X804)=(X805))=>((setadjoin @ X802 @ X804)=(setadjoin @ X803 @ X805))))))=>(![X806:$i, X807:$i]:((((X806)=(X807))=>((powerset @ X806)=(powerset @ X807))))=>(![X808:$i, X809:$i]:((((X808)=(X809))=>((setunion @ X808)=(setunion @ X809))))=>(((omega)=(omega))=>(![X810:$i > $o]:((?[X811:$i]:(((X810 @ X811)&![X812:$i]:(((X810 @ X812)=>((X811)=(X812))))))=>![X813:$i, X814:$i]:(((X810 @ X813)=>((X810 @ X814)=>((X813)=(X814)))))))=>(![X815:$i > $o, X816:$i > $o]:((![X817:$i, X818:$i]:((((X817)=(X818))=>((X815 @ X817)<=>(X816 @ X818))))=>(?[X819:$i]:(((X815 @ X819)&![X820:$i]:(((X815 @ X820)=>((X819)=(X820))))))=>(?[X821:$i]:(((X816 @ X821)&![X822:$i]:(((X816 @ X822)=>((X821)=(X822))))))=>((descr @ X815)=(descr @ X816))))))=>(![X823:$i, X824:$i]:((((X823)=(X824))=>![X825:$i > $o, X826:$i > $o]:((![X827:$i]:(((in @ X827 @ X823)=>![X828:$i]:(((in @ X828 @ X824)=>(((X827)=(X828))=>((X825 @ X827)<=>(X826 @ X828)))))))=>((dsetconstr @ X823 @ X825)=(dsetconstr @ X824 @ X826))))))=>(![X829:$i, X830:$i]:((![X831:$i]:(((in @ X831 @ X829)=>(in @ X831 @ X830)))=>(subset @ X829 @ X830)))=>(![X832:$i, X833:$i]:((((X832)=(X833))=>(subset @ X833 @ X832)))=>(![X834:$i, X835:$i]:((((X834)=(X835))=>(subset @ X834 @ X835)))=>(![X836:$i, X837:$i]:((![X838:$i]:(((in @ X838 @ X836)=>(in @ X838 @ X837)))=>(subset @ X836 @ X837)))=>(![X839:$i]:((subset @ emptyset @ X839))=>(![X840:$i, X841:$i, X842:$i]:(((subset @ X840 @ X841)=>((in @ X842 @ X840)=>(in @ X842 @ X841))))=>(![X843:$i, X844:$i, X845:$i]:(((subset @ X843 @ X844)=>(~(in @ X845 @ X844)=>~(in @ X845 @ X843))))=>(![X846:$i, X847:$i, X848:$i]:(((in @ X848 @ X846)=>(~(in @ X848 @ X847)=>~(subset @ X846 @ X847))))=>(![X849:$i, X850:$i]:((~(subset @ X849 @ X850)=>((X849)!=(X850))))=>(![X851:$i, X852:$i, X853:$i]:(((in @ X853 @ X851)=>(~(in @ X853 @ X852)=>((X851)!=(X852)))))=>(![X854:$i]:((subset @ X854 @ X854))=>(![X855:$i, X856:$i, X857:$i]:(((subset @ X855 @ X856)=>((subset @ X856 @ X857)=>(subset @ X855 @ X857))))=>(![X858:$i, X859:$i]:((subset @ X859 @ (setadjoin @ X858 @ X859)))=>(![X860:$i, X861:$i, X862:$i]:(((subset @ X860 @ X862)=>(subset @ X860 @ (setadjoin @ X861 @ X862))))=>(![X863:$i, X864:$i]:(((subset @ X863 @ X864)=>(in @ X863 @ (powerset @ X864))))=>(![X865:$i, X866:$i]:(((subset @ X865 @ X866)=>((subset @ X866 @ X865)=>((X865)=(X866)))))=>(![X867:$i]:(((subset @ X867 @ emptyset)=>((X867)=(emptyset))))=>(![X868:$i, X869:$i]:(((subset @ X869 @ X868)=>(in @ X869 @ (powerset @ X868))))=>(![X870:$i, X871:$i]:(((in @ X871 @ (powerset @ X870))=>(subset @ X871 @ X870)))=>(![X872:$i]:((in @ X872 @ (powerset @ X872)))=>(![X873:$i, X874:$i]:(((subset @ X873 @ X874)=>(subset @ (powerset @ X873) @ (powerset @ X874))))=>(![X875:$i, X876:$i > $o]:((in @ (dsetconstr @ X875 @ X876) @ (powerset @ X875)))=>(![X877:$i, X878:$i > $o]:((subset @ (dsetconstr @ X877 @ X878) @ X877))=>(![X879:$i, X880:$i, X881:$i]:(((in @ X881 @ X879)=>(in @ X881 @ (binunion @ X879 @ X880))))=>(![X882:$i, X883:$i]:((in @ X883 @ (setadjoin @ X882 @ (setadjoin @ X883 @ emptyset))))=>(![X884:$i, X885:$i, X886:$i]:(((in @ X886 @ X885)=>(in @ X886 @ (binunion @ X884 @ X885))))=>(![X887:$i, X888:$i, X889:$i, X890:$o]:(((in @ X889 @ (binunion @ X887 @ X888))=>(((in @ X889 @ X887)=>(X890))=>(((in @ X889 @ X888)=>(X890))=>(X890)))))=>(![X891:$i, X892:$i, X893:$i]:(((in @ X893 @ (binunion @ X891 @ X892))=>((in @ X893 @ X891)|(in @ X893 @ X892))))=>(![X894:$i, X895:$i]:((subset @ X894 @ (binunion @ X894 @ X895)))=>(![X896:$i, X897:$i]:((subset @ X897 @ (binunion @ X896 @ X897)))=>(![X898:$i, X899:$i, X900:$i]:(((in @ X900 @ X898)=>((in @ X900 @ X899)=>(in @ X900 @ (binintersect @ X898 @ X899)))))=>(![X901:$i, X902:$i, X903:$i]:(((subset @ X903 @ X901)=>((subset @ X903 @ X902)=>(subset @ X903 @ (binintersect @ X901 @ X902)))))=>(![X904:$i, X905:$i, X906:$i]:(((in @ X906 @ (binintersect @ X904 @ X905))=>(in @ X906 @ X904)))=>(![X907:$i, X908:$i]:((subset @ (binintersect @ X907 @ X908) @ X907))=>(![X909:$i, X910:$i]:(((subset @ X909 @ X910)=>((binintersect @ X909 @ X910)=(X909))))=>(![X911:$i, X912:$i]:((((binintersect @ X911 @ X912)=(X912))=>(subset @ X912 @ X911)))=>(![X913:$i, X914:$i, X915:$i]:(((in @ X915 @ (binintersect @ X913 @ X914))=>(in @ X915 @ X914)))=>(![X916:$i, X917:$i]:((~(?[X918:$i]:(((in @ X918 @ X916)&(in @ X918 @ X917))))=>((binintersect @ X916 @ X917)=(emptyset))))=>(![X919:$i, X920:$i]:((subset @ (binintersect @ X919 @ X920) @ X920))=>(![X921:$i, X922:$i]:(((subset @ X922 @ X921)=>((binintersect @ X921 @ X922)=(X922))))=>(![X923:$i, X924:$i]:((((binintersect @ X923 @ X924)=(X923))=>(subset @ X923 @ X924)))=>(![X925:$i, X926:$i, X927:$i]:(((binintersect @ X925 @ (binunion @ X926 @ X927))=(binunion @ (binintersect @ X925 @ X926) @ (binintersect @ X925 @ X927))))=>(![X928:$i, X929:$i, X930:$i]:(((in @ X930 @ X928)=>(~(in @ X930 @ X929)=>(in @ X930 @ (setminus @ X928 @ X929)))))=>(![X931:$i, X932:$i, X933:$i]:(((in @ X933 @ (setminus @ X931 @ X932))=>(in @ X933 @ X931)))=>(![X934:$i, X935:$i, X936:$i]:(((in @ X936 @ (setminus @ X934 @ X935))=>~(in @ X936 @ X935)))=>(![X937:$i, X938:$i]:(((subset @ X937 @ X938)=>((setminus @ X937 @ X938)=(emptyset))))=>(![X939:$i, X940:$i, X941:$i]:((~(in @ X941 @ (setminus @ X939 @ X940))=>((in @ X941 @ X939)=>(in @ X941 @ X940))))=>(![X942:$i, X943:$i, X944:$i]:((~(in @ X944 @ (setminus @ X942 @ X943))=>(~(in @ X944 @ X943)=>~(in @ X944 @ X942))))=>(![X945:$i, X946:$i, X947:$i]:((~(in @ X947 @ X945)=>~(in @ X947 @ (setminus @ X945 @ X946))))=>(![X948:$i, X949:$i, X950:$i]:(((in @ X950 @ X949)=>~(in @ X950 @ (setminus @ X948 @ X949))))=>(![X951:$i, X952:$i]:((subset @ (setminus @ X951 @ X952) @ X951))=>(![X953:$i, X954:$i]:((((setminus @ X953 @ X954)=(emptyset))=>(subset @ X953 @ X954)))=>(![X955:$i, X956:$i, X957:$i]:(((in @ X957 @ (symdiff @ X955 @ X956))=>![X958:$o]:((((in @ X957 @ X955)=>(~(in @ X957 @ X956)=>(X958)))=>((~(in @ X957 @ X955)=>((in @ X957 @ X956)=>(X958)))=>(X958))))))=>(![X959:$i, X960:$i, X961:$i]:(((in @ X961 @ X959)=>(~(in @ X961 @ X960)=>(in @ X961 @ (symdiff @ X959 @ X960)))))=>(![X962:$i, X963:$i, X964:$i]:((~(in @ X964 @ X962)=>((in @ X964 @ X963)=>(in @ X964 @ (symdiff @ X962 @ X963)))))=>(![X965:$i, X966:$i, X967:$i]:(((in @ X967 @ X965)=>((in @ X967 @ X966)=>~(in @ X967 @ (symdiff @ X965 @ X966)))))=>(![X968:$i, X969:$i, X970:$i]:((~(in @ X970 @ X968)=>(~(in @ X970 @ X969)=>~(in @ X970 @ (symdiff @ X968 @ X969)))))=>(![X971:$i, X972:$i]:((in @ X972 @ (setadjoin @ X971 @ (setadjoin @ X972 @ emptyset))))=>(![X973:$i, X974:$i]:((in @ X973 @ (setunion @ (setadjoin @ (setadjoin @ X973 @ emptyset) @ (setadjoin @ (setadjoin @ X973 @ (setadjoin @ X974 @ emptyset)) @ emptyset)))))=>(![X975:$i, X976:$i]:((in @ X976 @ (setunion @ (setadjoin @ (setadjoin @ X975 @ emptyset) @ (setadjoin @ (setadjoin @ X975 @ (setadjoin @ X976 @ emptyset)) @ emptyset)))))=>(![X977:$i, X978:$i]:((iskpair @ (setadjoin @ (setadjoin @ X977 @ emptyset) @ (setadjoin @ (setadjoin @ X977 @ (setadjoin @ X978 @ emptyset)) @ emptyset))))=>(![X979:$i, X980:$i]:((iskpair @ (kpair @ X979 @ X980)))=>(![X981:$i, X982:$i]:(((in @ X982 @ X981)=>(subset @ (setadjoin @ X982 @ emptyset) @ X981)))=>(![X983:$i, X984:$i]:(((in @ X984 @ X983)=>(in @ (setadjoin @ X984 @ emptyset) @ (powerset @ X983))))=>(![X985:$i, X986:$i, X987:$i]:(((in @ X987 @ X985)=>(in @ (setadjoin @ X987 @ emptyset) @ (powerset @ (binunion @ X985 @ X986)))))=>(![X988:$i, X989:$i, X990:$i]:(((in @ X990 @ (setadjoin @ X988 @ (setadjoin @ X989 @ emptyset)))=>(((X990)=(X988))|((X990)=(X989)))))=>(![X991:$i, X992:$i, X993:$i]:(((in @ X993 @ X991)=>![X994:$i]:(((in @ X994 @ X992)=>(subset @ (setadjoin @ X993 @ (setadjoin @ X994 @ emptyset)) @ (binunion @ X991 @ X992))))))=>(![X995:$i, X996:$i, X997:$i]:(((in @ X997 @ X995)=>![X998:$i]:(((in @ X998 @ X996)=>(in @ (setadjoin @ X997 @ (setadjoin @ X998 @ emptyset)) @ (powerset @ (binunion @ X995 @ X996)))))))=>(![X999:$i, X1000:$i, X1001:$i]:(((in @ X1001 @ X999)=>![X1002:$i]:(((in @ X1002 @ X1000)=>(subset @ (setadjoin @ (setadjoin @ X1001 @ emptyset) @ (setadjoin @ (setadjoin @ X1001 @ (setadjoin @ X1002 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X999 @ X1000)))))))=>(![X1003:$i, X1004:$i, X1005:$i]:(((in @ X1005 @ X1003)=>![X1006:$i]:(((in @ X1006 @ X1004)=>(in @ (setadjoin @ (setadjoin @ X1005 @ emptyset) @ (setadjoin @ (setadjoin @ X1005 @ (setadjoin @ X1006 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1003 @ X1004))))))))=>(![X1007:$i, X1008:$i, X1009:$i]:(((in @ X1009 @ X1007)=>![X1010:$i]:(((in @ X1010 @ X1008)=>(in @ (kpair @ X1009 @ X1010) @ (powerset @ (powerset @ (binunion @ X1007 @ X1008))))))))=>(![X1011:$i, X1012:$i, X1013:$i]:(((in @ X1013 @ X1011)=>![X1014:$i]:(((in @ X1014 @ X1012)=>(in @ (kpair @ X1013 @ X1014) @ (cartprod @ X1011 @ X1012))))))=>(![X1015:$i, X1016:$i, X1017:$i]:(((in @ X1017 @ (cartprod @ X1015 @ X1016))=>?[X1018:$i]:(((in @ X1018 @ X1015)&?[X1019:$i]:(((in @ X1019 @ X1016)&((X1017)=(kpair @ X1018 @ X1019))))))))=>(![X1020:$i, X1021:$i, X1022:$i]:(((in @ X1022 @ (cartprod @ X1020 @ X1021))=>(iskpair @ X1022)))=>(![X1023:$i, X1024:$i]:(((in @ X1024 @ (setunion @ X1023))=>?[X1025:$i]:(((in @ X1025 @ X1023)&(in @ X1024 @ X1025)))))=>(![X1026:$i]:((subset @ (setunion @ (setadjoin @ X1026 @ emptyset)) @ X1026))=>(![X1027:$i]:((subset @ X1027 @ (setunion @ (setadjoin @ X1027 @ emptyset))))=>(![X1028:$i]:(((setunion @ (setadjoin @ X1028 @ emptyset))=(X1028)))=>(![X1029:$i, X1030:$i > $o]:((![X1031:$i]:(((in @ X1031 @ X1029)=>![X1032:$i]:(((in @ X1032 @ X1029)=>((X1030 @ X1031)=>((X1030 @ X1032)=>((X1031)=(X1032))))))))=>(?[X1033:$i]:(((in @ X1033 @ X1029)&(X1030 @ X1033)))=>?[X1034:$i]:(((in @ X1034 @ (dsetconstr @ X1029 @ X1030))&((dsetconstr @ X1029 @ X1030)=(setadjoin @ X1034 @ emptyset)))))))=>(![X1035:$i, X1036:$i > $o]:((?[X1037:$i]:(((in @ X1037 @ (dsetconstr @ X1035 @ X1036))&((dsetconstr @ X1035 @ X1036)=(setadjoin @ X1037 @ emptyset))))=>?[X1038:$i]:(((in @ X1038 @ X1035)&(X1036 @ X1038)))))=>(![X1039:$i, X1040:$i > $o, X1041:$i]:(((in @ X1041 @ X1039)=>((X1040 @ X1041)=>(![X1042:$i]:(((in @ X1042 @ X1039)=>((X1040 @ X1042)=>((X1042)=(X1041)))))=>?[X1043:$i]:(((in @ X1043 @ (dsetconstr @ X1039 @ X1040))&((dsetconstr @ X1039 @ X1040)=(setadjoin @ X1043 @ emptyset))))))))=>(![X1044:$i, X1045:$i > $o]:((![X1046:$i]:(((in @ X1046 @ X1044)=>![X1047:$i]:(((in @ X1047 @ X1044)=>((X1045 @ X1046)=>((X1045 @ X1047)=>((X1046)=(X1047))))))))=>(?[X1048:$i]:(((in @ X1048 @ X1044)&(X1045 @ X1048)))=>?[X1049:$i]:(((in @ X1049 @ (dsetconstr @ X1044 @ X1045))&((dsetconstr @ X1044 @ X1045)=(setadjoin @ X1049 @ emptyset)))))))=>(![X1050:$i, X1051:$i]:((((setadjoin @ X1050 @ emptyset)=(setadjoin @ X1051 @ emptyset))=>((X1050)=(X1051))))=>(![X1052:$i, X1053:$i, X1054:$i]:(((in @ (setadjoin @ X1054 @ emptyset) @ (setadjoin @ (setadjoin @ X1052 @ emptyset) @ (setadjoin @ (setadjoin @ X1052 @ (setadjoin @ X1053 @ emptyset)) @ emptyset)))=>((X1052)=(X1054))))=>(![X1055:$i]:(((iskpair @ X1055)=>?[X1056:$i]:(((in @ X1056 @ (dsetconstr @ (setunion @ X1055) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1055)))))&((dsetconstr @ (setunion @ X1055) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1055))))=(setadjoin @ X1056 @ emptyset))))))=>(![X1057:$i]:((?[X1058:$i]:(((in @ X1058 @ X1057)&((X1057)=(setadjoin @ X1058 @ emptyset))))=>(in @ (setunion @ X1057) @ X1057)))=>(![X1059:$i, X1060:$i]:(((kfst @ (kpair @ X1059 @ X1060))=(X1059)))=>(![X1061:$i, X1062:$i, X1063:$i]:(((in @ X1063 @ (cartprod @ X1061 @ X1062))=>(in @ (kfst @ X1063) @ X1061)))=>(![X1064:$i, X1065:$i, X1066:$i, X1067:$i]:((((setadjoin @ (setadjoin @ X1064 @ emptyset) @ (setadjoin @ (setadjoin @ X1064 @ (setadjoin @ X1065 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1066 @ emptyset) @ (setadjoin @ (setadjoin @ X1066 @ (setadjoin @ X1067 @ emptyset)) @ emptyset)))=>((X1064)=(X1066))))=>(![X1068:$i, X1069:$i, X1070:$i, X1071:$i]:((((kpair @ X1068 @ X1069)=(kpair @ X1070 @ X1071))=>((X1068)=(X1070))))=>(![X1072:$i, X1073:$i]:((((X1072)=(X1073))=>((setadjoin @ X1072 @ (setadjoin @ X1073 @ emptyset))=(setadjoin @ X1072 @ emptyset))))=>(![X1074:$i, X1075:$i]:((((X1074)=(X1075))=>((setadjoin @ (setadjoin @ X1074 @ emptyset) @ (setadjoin @ (setadjoin @ X1074 @ (setadjoin @ X1075 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1074 @ emptyset) @ emptyset))))=>(![X1076:$i, X1077:$i, X1078:$i, X1079:$i]:((((setadjoin @ (setadjoin @ X1076 @ emptyset) @ (setadjoin @ (setadjoin @ X1076 @ (setadjoin @ X1077 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1078 @ emptyset) @ (setadjoin @ (setadjoin @ X1078 @ (setadjoin @ X1079 @ emptyset)) @ emptyset)))=>(((X1078)=(X1079))=>((X1077)=(X1079)))))=>(![X1080:$i, X1081:$i, X1082:$i]:((((setadjoin @ X1080 @ (setadjoin @ X1081 @ emptyset))=(setadjoin @ X1082 @ emptyset))=>((X1080)=(X1081))))=>(![X1083:$i, X1084:$i, X1085:$i, X1086:$i]:((((setadjoin @ (setadjoin @ X1083 @ emptyset) @ (setadjoin @ (setadjoin @ X1083 @ (setadjoin @ X1084 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1085 @ emptyset) @ (setadjoin @ (setadjoin @ X1085 @ (setadjoin @ X1086 @ emptyset)) @ emptyset)))=>((X1084)=(X1086))))=>(![X1087:$i, X1088:$i, X1089:$i, X1090:$i]:((((kpair @ X1087 @ X1088)=(kpair @ X1089 @ X1090))=>((X1088)=(X1090))))=>(![X1091:$i]:(((iskpair @ X1091)=>?[X1092:$i]:(((in @ X1092 @ (dsetconstr @ (setunion @ X1091) @ (^[Z0:$i]:(((X1091)=(kpair @ (kfst @ X1091) @ Z0))))))&((dsetconstr @ (setunion @ X1091) @ (^[Z0:$i]:(((X1091)=(kpair @ (kfst @ X1091) @ Z0)))))=(setadjoin @ X1092 @ emptyset))))))=>(![X1093:$i, X1094:$i]:(((ksnd @ (kpair @ X1093 @ X1094))=(X1094)))=>(![X1095:$i]:(((iskpair @ X1095)=>((kpair @ (kfst @ X1095) @ (ksnd @ X1095))=(X1095))))=>(![X1096:$i, X1097:$i, X1098:$i]:(((in @ X1098 @ (cartprod @ X1096 @ X1097))=>(in @ (ksnd @ X1098) @ X1097)))=>(![X1099:$i, X1100:$i, X1101:$i, X1102:$i]:(((in @ (kpair @ X1101 @ X1102) @ (cartprod @ X1099 @ X1100))=>(in @ X1101 @ X1099)))=>(![X1103:$i, X1104:$i, X1105:$i, X1106:$i]:(((in @ (kpair @ X1105 @ X1106) @ (cartprod @ X1103 @ X1104))=>(in @ X1106 @ X1104)))=>(![X1107:$i, X1108:$i, X1109:$i]:(((in @ X1109 @ X1107)=>![X1110:$i]:(((in @ X1110 @ X1108)=>((kpair @ X1109 @ X1110)=(kpair @ X1109 @ X1110))))))=>(![X1111:$i, X1112:$i, X1113:$i]:(((in @ X1113 @ X1111)=>![X1114:$i]:(((in @ X1114 @ X1112)=>((kfst @ (kpair @ X1113 @ X1114))=(X1113))))))=>(![X1115:$i, X1116:$i, X1117:$i]:(((in @ X1117 @ X1115)=>![X1118:$i]:(((in @ X1118 @ X1116)=>((ksnd @ (kpair @ X1117 @ X1118))=(X1118))))))=>(![X1119:$i, X1120:$i, X1121:$i]:(((in @ X1121 @ (cartprod @ X1119 @ X1120))=>((kpair @ (kfst @ X1121) @ (ksnd @ X1121))=(X1121))))=>(![X1122:$i, X1123:$i, X1124:$i > $i > $o, X1125:$i]:(((in @ X1125 @ X1122)=>![X1126:$i]:(((in @ X1126 @ X1123)=>((X1124 @ X1125 @ X1126)=>(in @ (kpair @ X1125 @ X1126) @ (dpsetconstr @ X1122 @ X1123 @ X1124)))))))=>(![X1127:$i, X1128:$i, X1129:$i > $i > $o]:((subset @ (dpsetconstr @ X1127 @ X1128 @ X1129) @ (cartprod @ X1127 @ X1128)))=>(![X1130:$i, X1131:$i, X1132:$i > $i > $o]:((subset @ (dpsetconstr @ X1130 @ X1131 @ X1132) @ (cartprod @ X1130 @ X1131)))=>(![X1133:$i, X1134:$i, X1135:$i > $i > $o, X1136:$i]:(((in @ X1136 @ X1133)=>![X1137:$i]:(((in @ X1137 @ X1134)=>((in @ (kpair @ X1136 @ X1137) @ (dpsetconstr @ X1133 @ X1134 @ X1135))=>(X1135 @ X1136 @ X1137))))))=>(![X1138:$i, X1139:$i, X1140:$i > $i > $o, X1141:$i, X1142:$i]:(((in @ (kpair @ X1141 @ X1142) @ (dpsetconstr @ X1138 @ X1139 @ X1140))=>(in @ X1141 @ X1138)))=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ X28))=>(in @ X3 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_219]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_220]), foundationAx]), wellorderingAx]), c_0_221]), c_0_222]), c_0_223]), c_0_224]), c_0_225]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_226]), setext]), emptyI]), noeltsimpempty]), c_0_227]), c_0_228]), c_0_229]), c_0_230]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_231]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_232]), c_0_233]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_234]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_235]), c_0_236]), c_0_237]), inCongP]), in__Cong]), c_0_238]), c_0_239]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_240]), c_0_241]), c_0_242]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_243]), c_0_244]), 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]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_245]), c_0_246]), c_0_247]), c_0_248]), singletonsuniq]), setukpairinjL1]), c_0_249]), c_0_250]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_251]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_252]), c_0_253]), c_0_254]), c_0_255]), c_0_256])])]), c_0_257])).
% 0.51/0.44 thf(c_0_259, plain, ![X1143:$i, X1144:$i, X1145:$i > $i > $o]:(((dpsetconstr @ X1143 @ X1144 @ X1145)=(dsetconstr @ (cartprod @ X1143 @ X1144) @ (^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ X1143))&(?[X3:$i]:((((((in @ X3 @ X1144))&(X1145 @ X2 @ X3)))&(((Z0)=(kpair @ X2 @ X3))))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[dpsetconstr])])).
% 0.51/0.44 thf(c_0_260, negated_conjecture, ![X1149:$i, X1150:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1162:$i, X1163:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1171:$i, X1172:$i > $i > $o, X1173:$i, X1175:$i, X1178:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1185:$i, X1186:$i > $o, X1187:$i, X1189:$i, X1190:$i > $o, X1191:$i, X1192:$i, X1193:$i > $o, X1194:$i, X1195:$i, X1196:$i > $o, X1197:$i, X1198:$i > $o, X1199:$i, X1202:$i, X1203:$o, X1204:$i, X1205:$i, X1206:$o, X1207:$i, X1208:$i, X1209:$i > $o, X1210:$i, X1213:$i, X1214:$i, X1217:$i, X1219:$i, X1221:$i, X1222:$i > $o, X1223:$i, X1224:$i, X1226:$i, X1227:$i > $o, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$o, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$o, X1259:$i, X1260:$i, X1261:$i > $o, X1262:$i, X1265:$i, X1266:$i, X1267:$i, X1269:$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 > $o, X1286:$i, X1287:$i > $o, X1288:$i, X1289:$i, X1290:$i > $o, X1291:$i, X1293:$i, X1294:$i > $o, X1296:$i, X1297:$i, X1298:$i > $o, X1300:$i, X1301:$i, X1302:$i > $o, X1303:$i, X1305:$o, X1306:$o, X1307:$i, X1308:$i > $o, X1310:$i, X1311:$i, X1312:$i > $o, X1313:$i, X1315:$i > $o, X1316:$i, X1319:$i, X1320:$i > $o, X1321:$i, X1325:$i, X1326:$i > $o, X1327:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i > $o, X1340:$i, X1342:$i, X1343:$i, X1344:$i > $o, X1345:$i > $o, X1348:$i, X1351:$i, X1352:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i > $o, X1365:$i, X1367:$i, X1368:$i, X1369:$i > $o, X1370:$i > $o, X1373:$i, X1375:$i, X1377:$i, X1378:$i, X1379:$i > $o, X1380:$i > $o, X1383:$i, X1384:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i > $o, X1431:$i, X1432:$i > $o, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$o, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$o, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i > $o, X1587:$i, X1589:$i, X1590:$i > $o, X1591:$i, X1593:$i, X1594:$i > $o, X1595:$i, X1598:$i, X1599:$i > $o, X1602:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i > $i > $o, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i > $i > $o, X1684:$i, X1685:$i, X1686:$i > $i > $o, X1687:$i, X1688:$i, X1689:$i > $i > $o, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i > $i > $o, X1695:$i, X1696:$i]:((((~(in @ (esk1_2 @ X1149 @ X1150) @ X1149)|~(in @ (esk1_2 @ X1149 @ X1150) @ X1150)|((X1149)=(X1150)))&((in @ (esk1_2 @ X1149 @ X1150) @ X1149)|(in @ (esk1_2 @ X1149 @ X1150) @ X1150)|((X1149)=(X1150))))&(~(in @ X1152 @ emptyset)&(((~(in @ X1155 @ (setadjoin @ X1153 @ X1154))|(((X1155)=(X1153))|(in @ X1155 @ X1154)))&((((X1155)!=(X1153))|(in @ X1155 @ (setadjoin @ X1153 @ X1154)))&(~(in @ X1155 @ X1154)|(in @ X1155 @ (setadjoin @ X1153 @ X1154)))))&(((~(in @ X1157 @ (powerset @ X1156))|(~(in @ X1158 @ X1157)|(in @ X1158 @ X1156)))&(((in @ (esk2_2 @ X1159 @ X1160) @ X1160)|(in @ X1160 @ (powerset @ X1159)))&(~(in @ (esk2_2 @ X1159 @ X1160) @ X1159)|(in @ X1160 @ (powerset @ X1159)))))&(((((in @ X1163 @ (esk3_2 @ X1162 @ X1163))|~(in @ X1163 @ (setunion @ X1162)))&((in @ (esk3_2 @ X1162 @ X1163) @ X1162)|~(in @ X1163 @ (setunion @ X1162))))&(~(in @ X1166 @ X1167)|~(in @ X1167 @ X1165)|(in @ X1166 @ (setunion @ X1165))))&((in @ emptyset @ omega)&((~(in @ X1168 @ omega)|(in @ (setadjoin @ X1168 @ X1168) @ omega))&(((((in @ (esk4_1 @ X1169) @ omega)|~(in @ emptyset @ X1169)|(~(in @ X1171 @ omega)|(in @ X1171 @ X1169)))&((in @ (esk4_1 @ X1169) @ X1169)|~(in @ emptyset @ X1169)|(~(in @ X1171 @ omega)|(in @ X1171 @ X1169))))&(~(in @ (setadjoin @ (esk4_1 @ X1169) @ (esk4_1 @ X1169)) @ X1169)|~(in @ emptyset @ X1169)|(~(in @ X1171 @ omega)|(in @ X1171 @ X1169))))&((((((in @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1173)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|(in @ (esk5_2 @ X1172 @ X1173) @ X1173))&((X1172 @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1178)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|(in @ (esk5_2 @ X1172 @ X1173) @ X1173)))&(~(in @ X1181 @ X1173)|~(X1172 @ X1181 @ X1180)|(in @ X1180 @ (esk7_2 @ X1172 @ X1173))|(in @ (esk5_2 @ X1172 @ X1173) @ X1173)))&(((((in @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1173)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|((X1172 @ (esk5_2 @ X1172 @ X1173) @ (esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175)))&((X1172 @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1178)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|((X1172 @ (esk5_2 @ X1172 @ X1173) @ (esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175))))&(~(in @ X1181 @ X1173)|~(X1172 @ X1181 @ X1180)|(in @ X1180 @ (esk7_2 @ X1172 @ X1173))|((X1172 @ (esk5_2 @ X1172 @ X1173) @ (esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175))))&((((in @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1173)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|(((X1175)!=(esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175)))&((X1172 @ (esk8_3 @ X1172 @ X1173 @ X1178) @ X1178)|~(in @ X1178 @ (esk7_2 @ X1172 @ X1173))|(((X1175)!=(esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175))))&(~(in @ X1181 @ X1173)|~(X1172 @ X1181 @ X1180)|(in @ X1180 @ (esk7_2 @ X1172 @ X1173))|(((X1175)!=(esk6_3 @ X1172 @ X1173 @ X1175))|~(X1172 @ (esk5_2 @ X1172 @ X1173) @ X1175))))))&((((in @ (esk9_1 @ X1182) @ X1182)|~(in @ X1183 @ X1182))&(~(in @ X1185 @ (esk9_1 @ X1182))|~(in @ X1185 @ X1182)|~(in @ X1183 @ X1182)))&((epred1_0)&((((X1186 @ (esk10_2 @ X1186 @ X1187))|~(X1186 @ X1187)|(X1186 @ (descr @ X1186)))&(((X1187)!=(esk10_2 @ X1186 @ X1187))|~(X1186 @ X1187)|(X1186 @ (descr @ X1186))))&((~(in @ X1191 @ X1189)|(~(X1190 @ X1191)|(in @ X1191 @ (dsetconstr @ X1189 @ X1190))))&((~(in @ X1194 @ (dsetconstr @ X1192 @ X1193))|(in @ X1194 @ X1192))&((~(in @ X1197 @ (dsetconstr @ X1195 @ X1196))|(X1196 @ X1197))&(((((X1198 @ (esk12_1 @ X1198))|((X1198 @ (esk11_2 @ X1198 @ X1199))|~(X1198 @ X1199)))&(~(X1198 @ X1202)|((esk12_1 @ X1198)=(X1202))|((X1198 @ (esk11_2 @ X1198 @ X1199))|~(X1198 @ X1199))))&(((X1198 @ (esk12_1 @ X1198))|(((X1199)!=(esk11_2 @ X1198 @ X1199))|~(X1198 @ X1199)))&(~(X1198 @ X1202)|((esk12_1 @ X1198)=(X1202))|(((X1199)!=(esk11_2 @ X1198 @ X1199))|~(X1198 @ X1199)))))&((~(in @ X1204 @ (prop2set @ ((X1203))))|(X1203))&((~(in @ X1205 @ emptyset)|(X1206))&((~(in @ X1207 @ emptyset)|~($true))&(~(in @ X1208 @ emptyset)&((((X1209 @ (esk13_2 @ X1209 @ X1210))|~(X1209 @ X1210)|(X1209 @ (esk14_1 @ X1209)))&(((X1210)!=(esk13_2 @ X1209 @ X1210))|~(X1209 @ X1210)|(X1209 @ (esk14_1 @ X1209))))&(((((in @ (esk16_2 @ X1213 @ X1214) @ X1214)|((X1213)=(X1214))|(in @ (esk15_2 @ X1213 @ X1214) @ X1213))&(~(in @ (esk16_2 @ X1213 @ X1214) @ X1213)|((X1213)=(X1214))|(in @ (esk15_2 @ X1213 @ X1214) @ X1213)))&(((in @ (esk16_2 @ X1213 @ X1214) @ X1214)|((X1213)=(X1214))|~(in @ (esk15_2 @ X1213 @ X1214) @ X1214))&(~(in @ (esk16_2 @ X1213 @ X1214) @ X1213)|((X1213)=(X1214))|~(in @ (esk15_2 @ X1213 @ X1214) @ X1214))))&(((in @ (esk17_1 @ X1217) @ X1217)|((X1217)=(emptyset)))&(((in @ (esk18_1 @ X1219) @ X1219)|((X1219)=(emptyset)))&(((~(in @ X1223 @ (dsetconstr @ X1221 @ X1222))|(X1222 @ X1223)|~(in @ X1223 @ X1221))&(~(X1222 @ X1223)|(in @ X1223 @ (dsetconstr @ X1221 @ X1222))|~(in @ X1223 @ X1221)))&((((X1224)=(emptyset))|(in @ (esk19_1 @ X1224) @ X1224))&((~(in @ X1228 @ X1226)|(~(X1227 @ X1228)|((dsetconstr @ X1226 @ X1227)!=(emptyset))))&((~(in @ X1230 @ X1229)|((X1229)!=(emptyset)))&((in @ X1231 @ (setadjoin @ X1231 @ X1232))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1235 @ X1234)|(in @ X1235 @ (setadjoin @ X1233 @ X1234)))&(((((in @ X1238 @ X1237)|(X1239)|((X1238)=(X1236))|~(in @ X1238 @ (setadjoin @ X1236 @ X1237)))&(~(X1239)|(X1239)|((X1238)=(X1236))|~(in @ X1238 @ (setadjoin @ X1236 @ X1237))))&(((in @ X1238 @ X1237)|(X1239)|~(X1239)|~(in @ X1238 @ (setadjoin @ X1236 @ X1237)))&(~(X1239)|(X1239)|~(X1239)|~(in @ X1238 @ (setadjoin @ X1236 @ X1237)))))&((~(in @ X1242 @ (setadjoin @ X1240 @ X1241))|(((X1242)=(X1240))|(in @ X1242 @ X1241)))&(((dsetconstr @ X1243 @ (^[Z0:$i]:($true)))=(X1243))&((((in @ (esk20_2 @ X1244 @ X1245) @ X1245)|(in @ X1245 @ (powerset @ X1244)))&(~(in @ (esk20_2 @ X1244 @ X1245) @ X1244)|(in @ X1245 @ (powerset @ X1244))))&((in @ emptyset @ (powerset @ X1247))&((in @ emptyset @ (powerset @ X1248))&((~(in @ X1250 @ (powerset @ X1249))|(~(in @ X1251 @ X1250)|(in @ X1251 @ X1249)))&((~(in @ X1253 @ X1254)|(~(in @ X1254 @ X1252)|(in @ X1253 @ (setunion @ X1252))))&((((in @ X1256 @ (esk21_3 @ X1255 @ X1256 @ X1257))|(X1257)|~(in @ X1256 @ (setunion @ X1255)))&(((in @ (esk21_3 @ X1255 @ X1256 @ X1257) @ X1255)|(X1257)|~(in @ X1256 @ (setunion @ X1255)))&(~(X1257)|(X1257)|~(in @ X1256 @ (setunion @ X1255)))))&((~(in @ X1260 @ X1259)|(in @ X1260 @ (powerset @ (setunion @ X1259))))&((((~(X1261 @ X1265)|((X1265)=(esk23_1 @ X1261))|((X1261 @ (esk22_2 @ X1261 @ X1262))|~(X1261 @ X1262)))&(((X1266)!=(esk23_1 @ X1261))|(X1261 @ X1266)|((X1261 @ (esk22_2 @ X1261 @ X1262))|~(X1261 @ X1262))))&((~(X1261 @ X1265)|((X1265)=(esk23_1 @ X1261))|(((X1262)!=(esk22_2 @ X1261 @ X1262))|~(X1261 @ X1262)))&(((X1266)!=(esk23_1 @ X1261))|(X1261 @ X1266)|(((X1262)!=(esk22_2 @ X1261 @ X1262))|~(X1261 @ X1262)))))&((((in @ (esk24_1 @ X1267) @ X1267)|((X1267)=(emptyset)))&(($true)|((X1267)=(emptyset))))&((~(in @ X1269 @ (setadjoin @ X1270 @ emptyset))|((X1269)=(X1270)))&((((X1271)=(X1272))|~(in @ X1272 @ (setadjoin @ X1271 @ emptyset)))&((((X1273)!=(X1274))|(in @ X1273 @ (setadjoin @ X1274 @ emptyset)))&((~(in @ X1275 @ (setadjoin @ X1276 @ emptyset))|(in @ X1276 @ (setadjoin @ X1275 @ emptyset)))&((~(in @ X1279 @ (setadjoin @ X1277 @ (setadjoin @ X1278 @ emptyset)))|(((X1279)=(X1277))|((X1279)=(X1278))))&((in @ X1280 @ (setadjoin @ X1280 @ (setadjoin @ X1281 @ emptyset)))&((in @ X1283 @ (setadjoin @ X1282 @ (setadjoin @ X1283 @ emptyset)))&((~(in @ X1286 @ X1284)|~(X1285 @ X1286)|(((dsetconstr @ X1284 @ X1285)!=(emptyset))|~($true)))&((~(in @ X1288 @ emptyset)|(X1287 @ X1288))&((((in @ (esk25_2 @ X1289 @ X1290) @ X1289)|(~(in @ X1291 @ X1289)|(X1290 @ X1291)))&(~(X1290 @ (esk25_2 @ X1289 @ X1290))|(~(in @ X1291 @ X1289)|(X1290 @ X1291))))&((((in @ (esk26_2 @ X1293 @ X1294) @ X1293)|(~(in @ X1296 @ X1293)|~(X1294 @ X1296)))&((X1294 @ (esk26_2 @ X1293 @ X1294))|(~(in @ X1296 @ X1293)|~(X1294 @ X1296))))&((((in @ (esk27_2 @ X1297 @ X1298) @ X1297)|(~(in @ X1300 @ X1297)|~(X1298 @ X1300)))&((X1298 @ (esk27_2 @ X1297 @ X1298))|(~(in @ X1300 @ X1297)|~(X1298 @ X1300))))&((((in @ (esk28_2 @ X1301 @ X1302) @ X1301)|(~(in @ X1303 @ X1301)|(X1302 @ X1303)))&(~(X1302 @ (esk28_2 @ X1301 @ X1302))|(~(in @ X1303 @ X1301)|(X1302 @ X1303))))&((~(X1305)|(in @ emptyset @ (prop2set @ ((X1305)))))&((~(X1306)|(set2prop @ (prop2set @ ((X1306)))))&((((in @ (esk29_2 @ X1307 @ X1308) @ X1307)|(~(in @ X1310 @ X1307)|~(X1308 @ X1310)))&((X1308 @ (esk29_2 @ X1307 @ X1308))|(~(in @ X1310 @ X1307)|~(X1308 @ X1310))))&((((in @ (esk30_2 @ X1311 @ X1312) @ X1311)|(~(in @ X1313 @ X1311)|(X1312 @ X1313)))&(~(X1312 @ (esk30_2 @ X1311 @ X1312))|(~(in @ X1313 @ X1311)|(X1312 @ X1313))))&(((((X1315 @ (esk32_1 @ X1315))|((X1315 @ (esk31_2 @ X1315 @ X1316))|~(X1315 @ X1316)))&(~(X1315 @ X1319)|((esk32_1 @ 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X1442)))&(~(X1444)|(X1444)|(in @ X1443 @ X1441)|~(in @ X1443 @ (binunion @ X1441 @ X1442))))&(((in @ X1443 @ X1442)|(X1444)|~(X1444)|~(in @ X1443 @ (binunion @ X1441 @ X1442)))&(~(X1444)|(X1444)|~(X1444)|~(in @ X1443 @ (binunion @ X1441 @ X1442)))))&((~(in @ X1447 @ (binunion @ X1445 @ X1446))|((in @ X1447 @ X1445)|(in @ X1447 @ X1446)))&((subset @ X1448 @ (binunion @ X1448 @ X1449))&((subset @ X1451 @ (binunion @ X1450 @ X1451))&((~(in @ X1454 @ X1452)|(~(in @ X1454 @ X1453)|(in @ X1454 @ (binintersect @ X1452 @ X1453))))&((~(subset @ X1457 @ X1455)|(~(subset @ X1457 @ X1456)|(subset @ X1457 @ (binintersect @ X1455 @ X1456))))&((~(in @ X1460 @ (binintersect @ X1458 @ X1459))|(in @ X1460 @ X1458))&((subset @ (binintersect @ X1461 @ X1462) @ X1461)&((~(subset @ X1463 @ X1464)|((binintersect @ X1463 @ X1464)=(X1463)))&((((binintersect @ X1465 @ X1466)!=(X1466))|(subset @ X1466 @ X1465))&((~(in @ X1469 @ (binintersect @ X1467 @ X1468))|(in @ X1469 @ X1468))&((((in @ (esk54_2 @ X1470 @ X1471) @ X1470)|((binintersect @ X1470 @ X1471)=(emptyset)))&((in @ (esk54_2 @ X1470 @ X1471) @ X1471)|((binintersect @ X1470 @ X1471)=(emptyset))))&((subset @ (binintersect @ X1473 @ X1474) @ X1474)&((~(subset @ X1476 @ X1475)|((binintersect @ X1475 @ X1476)=(X1476)))&((((binintersect @ X1477 @ X1478)!=(X1477))|(subset @ X1477 @ X1478))&(((binintersect @ X1479 @ (binunion @ X1480 @ X1481))=(binunion @ (binintersect @ X1479 @ X1480) @ (binintersect @ X1479 @ X1481)))&((~(in @ X1484 @ X1482)|((in @ X1484 @ X1483)|(in @ X1484 @ (setminus @ X1482 @ X1483))))&((~(in @ X1487 @ (setminus @ X1485 @ X1486))|(in @ X1487 @ X1485))&((~(in @ X1490 @ (setminus @ X1488 @ X1489))|~(in @ X1490 @ X1489))&((~(subset @ X1491 @ X1492)|((setminus @ X1491 @ X1492)=(emptyset)))&(((in @ X1495 @ (setminus @ X1493 @ X1494))|(~(in @ X1495 @ X1493)|(in @ X1495 @ X1494)))&(((in @ X1498 @ (setminus @ X1496 @ X1497))|((in @ X1498 @ X1497)|~(in @ X1498 @ X1496)))&(((in @ X1501 @ X1499)|~(in @ X1501 @ (setminus @ X1499 @ X1500)))&((~(in @ X1504 @ X1503)|~(in @ X1504 @ (setminus @ X1502 @ X1503)))&((subset @ (setminus @ X1505 @ X1506) @ X1505)&((((setminus @ X1507 @ X1508)!=(emptyset))|(subset @ X1507 @ X1508))&((((~(in @ X1511 @ X1509)|(X1512)|(in @ X1511 @ X1509)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(((in @ X1511 @ X1510)|(X1512)|(in @ X1511 @ X1509)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(~(X1512)|(X1512)|(in @ X1511 @ X1509)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))))&(((~(in @ X1511 @ X1509)|(X1512)|~(in @ X1511 @ X1510)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(((in @ X1511 @ X1510)|(X1512)|~(in @ X1511 @ X1510)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(~(X1512)|(X1512)|~(in @ X1511 @ X1510)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))))&((~(in @ X1511 @ X1509)|(X1512)|~(X1512)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(((in @ X1511 @ X1510)|(X1512)|~(X1512)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))&(~(X1512)|(X1512)|~(X1512)|~(in @ X1511 @ (symdiff @ X1509 @ X1510)))))))&((~(in @ X1515 @ X1513)|((in @ X1515 @ X1514)|(in @ X1515 @ (symdiff @ X1513 @ X1514))))&(((in @ X1518 @ X1516)|(~(in @ X1518 @ X1517)|(in @ X1518 @ (symdiff @ X1516 @ X1517))))&((~(in @ X1521 @ X1519)|(~(in @ X1521 @ X1520)|~(in @ X1521 @ (symdiff @ X1519 @ X1520))))&(((in @ X1524 @ X1522)|((in @ X1524 @ X1523)|~(in @ X1524 @ (symdiff @ X1522 @ X1523))))&((in @ X1526 @ (setadjoin @ X1525 @ (setadjoin @ X1526 @ emptyset)))&((in @ X1527 @ (setunion @ (setadjoin @ (setadjoin @ X1527 @ emptyset) @ (setadjoin @ (setadjoin @ X1527 @ (setadjoin @ X1528 @ emptyset)) @ emptyset))))&((in @ X1530 @ (setunion @ (setadjoin @ (setadjoin @ X1529 @ emptyset) @ (setadjoin @ (setadjoin @ X1529 @ (setadjoin @ X1530 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1531 @ emptyset) @ (setadjoin @ (setadjoin @ X1531 @ (setadjoin @ X1532 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1533 @ X1534))&((~(in @ X1536 @ X1535)|(subset @ (setadjoin @ X1536 @ emptyset) @ X1535))&((~(in @ X1538 @ X1537)|(in @ (setadjoin @ X1538 @ emptyset) @ (powerset @ X1537)))&((~(in @ X1541 @ X1539)|(in @ (setadjoin @ X1541 @ emptyset) @ (powerset @ (binunion @ X1539 @ X1540))))&((~(in @ X1544 @ (setadjoin @ X1542 @ (setadjoin @ X1543 @ emptyset)))|(((X1544)=(X1542))|((X1544)=(X1543))))&((~(in @ X1547 @ X1545)|(~(in @ X1548 @ X1546)|(subset @ (setadjoin @ X1547 @ (setadjoin @ X1548 @ emptyset)) @ (binunion @ X1545 @ X1546))))&((~(in @ X1551 @ X1549)|(~(in @ X1552 @ X1550)|(in @ (setadjoin @ X1551 @ (setadjoin @ X1552 @ emptyset)) @ (powerset @ (binunion @ X1549 @ X1550)))))&((~(in @ X1555 @ X1553)|(~(in @ X1556 @ X1554)|(subset @ (setadjoin @ (setadjoin @ X1555 @ emptyset) @ (setadjoin @ (setadjoin @ X1555 @ (setadjoin @ X1556 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1553 @ X1554)))))&((~(in @ X1559 @ X1557)|(~(in @ X1560 @ X1558)|(in @ (setadjoin @ (setadjoin @ X1559 @ emptyset) @ (setadjoin @ (setadjoin @ X1559 @ (setadjoin @ X1560 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1557 @ X1558))))))&((~(in @ X1563 @ X1561)|(~(in @ X1564 @ X1562)|(in @ (kpair @ X1563 @ X1564) @ (powerset @ (powerset @ (binunion @ X1561 @ X1562))))))&((~(in @ X1567 @ X1565)|(~(in @ X1568 @ X1566)|(in @ (kpair @ X1567 @ X1568) @ (cartprod @ X1565 @ X1566))))&((((in @ (esk55_3 @ X1569 @ X1570 @ X1571) @ X1569)|~(in @ X1571 @ (cartprod @ X1569 @ X1570)))&(((in @ (esk56_3 @ X1569 @ X1570 @ X1571) @ X1570)|~(in @ X1571 @ (cartprod @ X1569 @ X1570)))&(((X1571)=(kpair @ (esk55_3 @ X1569 @ X1570 @ X1571) @ (esk56_3 @ X1569 @ X1570 @ X1571)))|~(in @ X1571 @ (cartprod @ X1569 @ X1570)))))&((~(in @ X1576 @ (cartprod @ X1574 @ X1575))|(iskpair @ X1576))&((((in @ (esk57_2 @ X1577 @ X1578) @ X1577)|~(in @ X1578 @ (setunion @ X1577)))&((in @ X1578 @ (esk57_2 @ X1577 @ X1578))|~(in @ X1578 @ (setunion @ X1577))))&((subset @ (setunion @ (setadjoin @ X1580 @ emptyset)) @ X1580)&((subset @ X1581 @ (setunion @ (setadjoin @ X1581 @ emptyset)))&(((setunion @ (setadjoin @ X1582 @ emptyset))=(X1582))&(((((in @ (esk60_2 @ X1583 @ X1584) @ (dsetconstr @ X1583 @ X1584))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(in @ (esk58_2 @ X1583 @ X1584) @ X1583))&(((dsetconstr @ X1583 @ X1584)=(setadjoin @ (esk60_2 @ X1583 @ X1584) @ emptyset))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(in @ (esk58_2 @ X1583 @ X1584) @ X1583)))&((((in @ (esk60_2 @ X1583 @ X1584) @ (dsetconstr @ X1583 @ X1584))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(in @ (esk59_2 @ X1583 @ X1584) @ X1583))&(((dsetconstr @ X1583 @ X1584)=(setadjoin @ (esk60_2 @ X1583 @ X1584) @ emptyset))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(in @ (esk59_2 @ X1583 @ X1584) @ X1583)))&((((in @ (esk60_2 @ X1583 @ X1584) @ (dsetconstr @ X1583 @ X1584))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(X1584 @ (esk58_2 @ X1583 @ X1584)))&(((dsetconstr @ X1583 @ X1584)=(setadjoin @ (esk60_2 @ X1583 @ X1584) @ emptyset))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(X1584 @ (esk58_2 @ X1583 @ X1584))))&((((in @ (esk60_2 @ X1583 @ X1584) @ (dsetconstr @ X1583 @ X1584))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(X1584 @ (esk59_2 @ X1583 @ X1584)))&(((dsetconstr @ X1583 @ X1584)=(setadjoin @ (esk60_2 @ X1583 @ X1584) @ emptyset))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|(X1584 @ (esk59_2 @ X1583 @ X1584))))&(((in @ (esk60_2 @ X1583 @ X1584) @ (dsetconstr @ X1583 @ X1584))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|((esk58_2 @ X1583 @ X1584)!=(esk59_2 @ X1583 @ X1584)))&(((dsetconstr @ X1583 @ X1584)=(setadjoin @ (esk60_2 @ X1583 @ X1584) @ emptyset))|(~(in @ X1587 @ X1583)|~(X1584 @ X1587))|((esk58_2 @ X1583 @ X1584)!=(esk59_2 @ X1583 @ X1584))))))))&((((in @ (esk61_2 @ X1589 @ X1590) @ X1589)|(~(in @ X1591 @ (dsetconstr @ X1589 @ X1590))|((dsetconstr @ X1589 @ X1590)!=(setadjoin @ X1591 @ emptyset))))&((X1590 @ (esk61_2 @ X1589 @ X1590))|(~(in @ X1591 @ (dsetconstr @ X1589 @ X1590))|((dsetconstr @ X1589 @ X1590)!=(setadjoin @ X1591 @ emptyset)))))&(((((in @ (esk63_3 @ X1593 @ X1594 @ X1595) @ (dsetconstr @ X1593 @ X1594))|(in @ (esk62_3 @ X1593 @ X1594 @ X1595) @ X1593)|~(X1594 @ X1595)|~(in @ X1595 @ X1593))&(((dsetconstr @ X1593 @ X1594)=(setadjoin @ (esk63_3 @ X1593 @ X1594 @ X1595) @ emptyset))|(in @ (esk62_3 @ X1593 @ X1594 @ X1595) @ X1593)|~(X1594 @ X1595)|~(in @ X1595 @ X1593)))&((((in @ (esk63_3 @ X1593 @ X1594 @ X1595) @ (dsetconstr @ X1593 @ X1594))|(X1594 @ (esk62_3 @ X1593 @ X1594 @ X1595))|~(X1594 @ X1595)|~(in @ X1595 @ X1593))&(((dsetconstr @ X1593 @ X1594)=(setadjoin @ (esk63_3 @ X1593 @ X1594 @ X1595) @ emptyset))|(X1594 @ (esk62_3 @ X1593 @ X1594 @ X1595))|~(X1594 @ X1595)|~(in @ X1595 @ X1593)))&(((in @ (esk63_3 @ X1593 @ X1594 @ X1595) @ (dsetconstr @ X1593 @ X1594))|((esk62_3 @ X1593 @ X1594 @ X1595)!=(X1595))|~(X1594 @ X1595)|~(in @ X1595 @ X1593))&(((dsetconstr @ X1593 @ X1594)=(setadjoin @ (esk63_3 @ X1593 @ X1594 @ X1595) @ emptyset))|((esk62_3 @ X1593 @ X1594 @ X1595)!=(X1595))|~(X1594 @ X1595)|~(in @ X1595 @ X1593)))))&(((((in @ (esk66_2 @ X1598 @ X1599) @ (dsetconstr @ X1598 @ X1599))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(in @ (esk64_2 @ X1598 @ X1599) @ X1598))&(((dsetconstr @ X1598 @ X1599)=(setadjoin @ (esk66_2 @ X1598 @ X1599) @ emptyset))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(in @ (esk64_2 @ X1598 @ X1599) @ X1598)))&((((in @ (esk66_2 @ X1598 @ X1599) @ (dsetconstr @ X1598 @ X1599))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(in @ (esk65_2 @ X1598 @ X1599) @ X1598))&(((dsetconstr @ X1598 @ X1599)=(setadjoin @ (esk66_2 @ X1598 @ X1599) @ emptyset))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(in @ (esk65_2 @ X1598 @ X1599) @ X1598)))&((((in @ (esk66_2 @ X1598 @ X1599) @ (dsetconstr @ X1598 @ X1599))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(X1599 @ (esk64_2 @ X1598 @ X1599)))&(((dsetconstr @ X1598 @ X1599)=(setadjoin @ (esk66_2 @ X1598 @ X1599) @ emptyset))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(X1599 @ (esk64_2 @ X1598 @ X1599))))&((((in @ (esk66_2 @ X1598 @ X1599) @ (dsetconstr @ X1598 @ X1599))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(X1599 @ (esk65_2 @ X1598 @ X1599)))&(((dsetconstr @ X1598 @ X1599)=(setadjoin @ (esk66_2 @ X1598 @ X1599) @ emptyset))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|(X1599 @ (esk65_2 @ X1598 @ X1599))))&(((in @ (esk66_2 @ X1598 @ X1599) @ (dsetconstr @ X1598 @ X1599))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|((esk64_2 @ X1598 @ X1599)!=(esk65_2 @ X1598 @ X1599)))&(((dsetconstr @ X1598 @ X1599)=(setadjoin @ (esk66_2 @ X1598 @ X1599) @ emptyset))|(~(in @ X1602 @ X1598)|~(X1599 @ X1602))|((esk64_2 @ X1598 @ X1599)!=(esk65_2 @ X1598 @ X1599))))))))&((((setadjoin @ X1604 @ emptyset)!=(setadjoin @ X1605 @ emptyset))|((X1604)=(X1605)))&((~(in @ (setadjoin @ X1608 @ emptyset) @ (setadjoin @ (setadjoin @ X1606 @ emptyset) @ (setadjoin @ (setadjoin @ X1606 @ (setadjoin @ X1607 @ emptyset)) @ emptyset)))|((X1606)=(X1608)))&((((in @ (esk67_1 @ X1609) @ (dsetconstr @ (setunion @ X1609) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1609)))))|~(iskpair @ X1609))&(((dsetconstr @ (setunion @ X1609) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1609))))=(setadjoin @ (esk67_1 @ X1609) @ emptyset))|~(iskpair @ X1609)))&((~(in @ X1612 @ X1611)|((X1611)!=(setadjoin @ X1612 @ emptyset))|(in @ (setunion @ X1611) @ X1611))&(((kfst @ (kpair @ X1613 @ X1614))=(X1613))&((~(in @ X1617 @ (cartprod @ X1615 @ X1616))|(in @ (kfst @ X1617) @ X1615))&((((setadjoin @ (setadjoin @ X1618 @ emptyset) @ (setadjoin @ (setadjoin @ X1618 @ (setadjoin @ X1619 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1620 @ emptyset) @ (setadjoin @ (setadjoin @ X1620 @ (setadjoin @ X1621 @ emptyset)) @ emptyset)))|((X1618)=(X1620)))&((((kpair @ X1622 @ X1623)!=(kpair @ X1624 @ X1625))|((X1622)=(X1624)))&((((X1626)!=(X1627))|((setadjoin @ X1626 @ (setadjoin @ X1627 @ emptyset))=(setadjoin @ X1626 @ emptyset)))&((((X1628)!=(X1629))|((setadjoin @ (setadjoin @ X1628 @ emptyset) @ (setadjoin @ (setadjoin @ X1628 @ (setadjoin @ X1629 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1628 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1630 @ emptyset) @ (setadjoin @ (setadjoin @ X1630 @ (setadjoin @ X1631 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1632 @ emptyset) @ (setadjoin @ (setadjoin @ X1632 @ (setadjoin @ X1633 @ emptyset)) @ emptyset)))|(((X1632)!=(X1633))|((X1631)=(X1633))))&((((setadjoin @ X1634 @ (setadjoin @ X1635 @ emptyset))!=(setadjoin @ X1636 @ emptyset))|((X1634)=(X1635)))&((((setadjoin @ (setadjoin @ X1637 @ emptyset) @ (setadjoin @ (setadjoin @ X1637 @ (setadjoin @ X1638 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1639 @ emptyset) @ (setadjoin @ (setadjoin @ X1639 @ (setadjoin @ X1640 @ emptyset)) @ emptyset)))|((X1638)=(X1640)))&((((kpair @ X1641 @ X1642)!=(kpair @ X1643 @ X1644))|((X1642)=(X1644)))&((((in @ (esk68_1 @ X1645) @ (dsetconstr @ (setunion @ X1645) @ (^[Z0:$i]:(((X1645)=(kpair @ (kfst @ X1645) @ Z0))))))|~(iskpair @ X1645))&(((dsetconstr @ (setunion @ X1645) @ (^[Z0:$i]:(((X1645)=(kpair @ (kfst @ X1645) @ Z0)))))=(setadjoin @ (esk68_1 @ X1645) @ emptyset))|~(iskpair @ X1645)))&(((ksnd @ (kpair @ X1647 @ X1648))=(X1648))&((~(iskpair @ X1649)|((kpair @ (kfst @ X1649) @ (ksnd @ X1649))=(X1649)))&((~(in @ X1652 @ (cartprod @ X1650 @ X1651))|(in @ (ksnd @ X1652) @ X1651))&((~(in @ (kpair @ X1655 @ X1656) @ (cartprod @ X1653 @ X1654))|(in @ X1655 @ X1653))&((~(in @ (kpair @ X1659 @ X1660) @ (cartprod @ X1657 @ X1658))|(in @ X1660 @ X1658))&((~(in @ X1663 @ X1661)|(~(in @ X1664 @ X1662)|((kpair @ X1663 @ X1664)=(kpair @ X1663 @ X1664))))&((~(in @ X1667 @ X1665)|(~(in @ X1668 @ X1666)|((kfst @ (kpair @ X1667 @ X1668))=(X1667))))&((~(in @ X1671 @ X1669)|(~(in @ X1672 @ X1670)|((ksnd @ (kpair @ X1671 @ X1672))=(X1672))))&((~(in @ X1675 @ (cartprod @ X1673 @ X1674))|((kpair @ (kfst @ X1675) @ (ksnd @ X1675))=(X1675)))&((~(in @ X1679 @ X1676)|(~(in @ X1680 @ X1677)|(~(X1678 @ X1679 @ X1680)|(in @ (kpair @ X1679 @ X1680) @ (dpsetconstr @ X1676 @ X1677 @ X1678)))))&((subset @ (dpsetconstr @ X1681 @ X1682 @ X1683) @ (cartprod @ X1681 @ X1682))&((subset @ (dpsetconstr @ X1684 @ X1685 @ X1686) @ (cartprod @ X1684 @ X1685))&((~(in @ X1690 @ X1687)|(~(in @ X1691 @ X1688)|(~(in @ (kpair @ X1690 @ X1691) @ (dpsetconstr @ X1687 @ X1688 @ X1689))|(X1689 @ X1690 @ X1691))))&((~(in @ (kpair @ X1695 @ X1696) @ (dpsetconstr @ X1692 @ X1693 @ X1694))|(in @ X1695 @ X1692))&((in @ (kpair @ esk71_0 @ esk72_0) @ (dpsetconstr @ esk69_0 @ esk70_0 @ epred2_0))&~(in @ esk72_0 @ esk70_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_258])])])])])])])).
% 0.51/0.44 thf(c_0_261, plain, ![X1146:$i, X1147:$i, X1148:$i > $i > $o]:(((dpsetconstr @ X1146 @ X1147 @ X1148)=(dsetconstr @ (cartprod @ X1146 @ X1147) @ (^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ X1146))&(?[X3:$i]:((((((in @ X3 @ X1147))&(X1148 @ X2 @ X3)))&(((Z0)=(kpair @ X2 @ X3))))))))))))), inference(variable_rename,[status(thm)],[c_0_259])).
% 0.51/0.44 thf(c_0_262, plain, ![X1723:$i, X2:$i, X3:$i, X6:$i > $i > $o]:(((epred3_3 @ X6 @ X3 @ X2 @ X1723)<=>?[X1721:$i]:(((in @ X1721 @ X2)&?[X1722:$i]:((((in @ X1722 @ X3)&(X6 @ X1721 @ X1722))&((X1723)=(kpair @ X1721 @ X1722)))))))), introduced(definition)).
% 0.51/0.44 thf(c_0_263, negated_conjecture, (in @ (kpair @ esk71_0 @ esk72_0) @ (dpsetconstr @ esk69_0 @ esk70_0 @ epred2_0)), inference(split_conjunct,[status(thm)],[c_0_260])).
% 0.51/0.44 thf(c_0_264, plain, ![X6:$i > $i > $o, X3:$i, X2:$i]:(((dpsetconstr @ X2 @ X3 @ X6)=(dsetconstr @ (cartprod @ X2 @ X3) @ (epred3_3 @ X6 @ X3 @ X2)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_261]), c_0_262])).
% 0.51/0.44 thf(c_0_265, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ X2 @ X3)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_260])).
% 0.51/0.44 thf(c_0_266, negated_conjecture, (in @ (kpair @ esk71_0 @ esk72_0) @ (dsetconstr @ (cartprod @ esk69_0 @ esk70_0) @ (epred3_3 @ epred2_0 @ esk70_0 @ esk69_0))), inference(rw,[status(thm)],[c_0_263, c_0_264])).
% 0.51/0.44 thf(c_0_267, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:(((in @ X3 @ X5)|~((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_260])).
% 0.51/0.44 thf(c_0_268, negated_conjecture, (in @ (kpair @ esk71_0 @ esk72_0) @ (cartprod @ esk69_0 @ esk70_0)), inference(spm,[status(thm)],[c_0_265, c_0_266])).
% 0.51/0.44 thf(c_0_269, negated_conjecture, ~((in @ esk72_0 @ esk70_0)), inference(split_conjunct,[status(thm)],[c_0_260])).
% 0.51/0.44 thf(c_0_270, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_269]), ['proof']).
% 0.51/0.44 % SZS output end CNFRefutation
% 0.51/0.44 % Parsed axioms : 412
% 0.51/0.44 % Removed by relevancy pruning/SinE : 0
% 0.51/0.44 % Initial clauses : 570
% 0.51/0.44 % Removed in clause preprocessing : 247
% 0.51/0.44 % Initial clauses in saturation : 323
% 0.51/0.44 % Processed clauses : 448
% 0.51/0.44 % ...of these trivial : 10
% 0.51/0.44 % ...subsumed : 37
% 0.51/0.44 % ...remaining for further processing : 401
% 0.51/0.44 % Other redundant clauses eliminated : 31
% 0.51/0.44 % Clauses deleted for lack of memory : 0
% 0.51/0.44 % Backward-subsumed : 1
% 0.51/0.44 % Backward-rewritten : 3
% 0.51/0.44 % Generated clauses : 210
% 0.51/0.44 % ...of the previous two non-redundant : 112
% 0.51/0.44 % ...aggressively subsumed : 0
% 0.51/0.44 % Contextual simplify-reflections : 1
% 0.51/0.44 % Paramodulations : 171
% 0.51/0.44 % Factorizations : 0
% 0.51/0.44 % NegExts : 1
% 0.51/0.44 % Equation resolutions : 34
% 0.51/0.44 % Disequality decompositions : 0
% 0.51/0.44 % Total rewrite steps : 105
% 0.51/0.44 % ...of those cached : 75
% 0.51/0.44 % Propositional unsat checks : 0
% 0.51/0.44 % Propositional check models : 0
% 0.51/0.44 % Propositional check unsatisfiable : 0
% 0.51/0.44 % Propositional clauses : 0
% 0.51/0.44 % Propositional clauses after purity: 0
% 0.51/0.44 % Propositional unsat core size : 0
% 0.51/0.44 % Propositional preprocessing time : 0.000
% 0.51/0.44 % Propositional encoding time : 0.000
% 0.51/0.44 % Propositional solver time : 0.000
% 0.51/0.44 % Success case prop preproc time : 0.000
% 0.51/0.44 % Success case prop encoding time : 0.000
% 0.51/0.44 % Success case prop solver time : 0.000
% 0.51/0.44 % Current number of processed clauses : 101
% 0.51/0.44 % Positive orientable unit clauses : 37
% 0.51/0.44 % Positive unorientable unit clauses: 0
% 0.51/0.44 % Negative unit clauses : 2
% 0.51/0.44 % Non-unit-clauses : 62
% 0.51/0.44 % Current number of unprocessed clauses: 264
% 0.51/0.44 % ...number of literals in the above : 871
% 0.51/0.44 % Current number of archived formulas : 0
% 0.51/0.44 % Current number of archived clauses : 285
% 0.51/0.44 % Clause-clause subsumption calls (NU) : 14346
% 0.51/0.44 % Rec. Clause-clause subsumption calls : 5439
% 0.51/0.44 % Non-unit clause-clause subsumptions : 25
% 0.51/0.44 % Unit Clause-clause subsumption calls : 69
% 0.51/0.44 % Rewrite failures with RHS unbound : 0
% 0.51/0.44 % BW rewrite match attempts : 17
% 0.51/0.44 % BW rewrite match successes : 3
% 0.51/0.44 % Condensation attempts : 0
% 0.51/0.44 % Condensation successes : 0
% 0.51/0.44 % Termbank termtop insertions : 57947
% 0.51/0.44 % Search garbage collected termcells : 18501
% 0.51/0.44
% 0.51/0.44 % -------------------------------------------------
% 0.51/0.44 % User time : 0.116 s
% 0.51/0.44 % System time : 0.016 s
% 0.51/0.44 % Total time : 0.132 s
% 0.51/0.44 % Maximum resident set size: 7636 pages
% 0.51/0.44
% 0.51/0.44 % -------------------------------------------------
% 0.51/0.44 % User time : 0.241 s
% 0.51/0.44 % System time : 0.037 s
% 0.51/0.44 % Total time : 0.278 s
% 0.51/0.44 % Maximum resident set size: 5632 pages
% 0.51/0.44 % E exiting
%------------------------------------------------------------------------------