%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU638^1 : 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 : n001.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 08:27:01 AM UTC 2026
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU638^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:06:50 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.19/0.27 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.I990iOt5HB/E---3.1_1291724.p
% 0.19/0.36 % Version: 3.5.1-ho
% 0.19/0.36 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.19/0.36 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.19/0.36 % Starting pre_casc_3 with 300s (1) cores
% 0.19/0.36 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.36 % Starting full_lambda_10 with 300s (1) cores
% 0.19/0.36 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.36 % new_ho_10_cnf2 with pid 1291765 completed with status 0
% 0.19/0.36 % Result found by new_ho_10_cnf2
% 0.19/0.36 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.19/0.36 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.19/0.36 % Starting pre_casc_3 with 300s (1) cores
% 0.19/0.36 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.36 % No SInE strategy applied
% 0.19/0.36 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.19/0.36 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.36 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.36 % SubtermCWHack with pid 1291774 completed with status 0
% 0.19/0.36 % Result found by SubtermCWHack
% 0.19/0.36 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.19/0.36 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.19/0.36 % Starting pre_casc_3 with 300s (1) cores
% 0.19/0.36 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.36 % No SInE strategy applied
% 0.19/0.36 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.19/0.36 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.36 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.36 % Preprocessing time : 0.005 s
% 0.19/0.36
% 0.19/0.36 % Proof found!
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % SZS output start CNFRefutation
% 0.19/0.36 thf(decl_23, type, in: $i > $i > $o).
% 0.19/0.36 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.19/0.36 thf(decl_25, type, setextAx: $o).
% 0.19/0.36 thf(decl_26, type, emptyset: $i).
% 0.19/0.36 thf(decl_27, type, emptysetAx: $o).
% 0.19/0.36 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.19/0.36 thf(decl_29, type, setadjoinAx: $o).
% 0.19/0.36 thf(decl_30, type, powerset: $i > $i).
% 0.19/0.36 thf(decl_31, type, powersetAx: $o).
% 0.19/0.36 thf(decl_32, type, setunion: $i > $i).
% 0.19/0.36 thf(decl_33, type, setunionAx: $o).
% 0.19/0.36 thf(decl_34, type, omega: $i).
% 0.19/0.36 thf(decl_35, type, omega0Ax: $o).
% 0.19/0.36 thf(decl_36, type, omegaSAx: $o).
% 0.19/0.36 thf(decl_37, type, omegaIndAx: $o).
% 0.19/0.36 thf(decl_38, type, replAx: $o).
% 0.19/0.36 thf(decl_39, type, foundationAx: $o).
% 0.19/0.36 thf(decl_40, type, wellorderingAx: $o).
% 0.19/0.36 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.19/0.36 thf(decl_42, type, descrp: $o).
% 0.19/0.36 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_44, type, dsetconstrI: $o).
% 0.19/0.36 thf(decl_45, type, dsetconstrEL: $o).
% 0.19/0.36 thf(decl_46, type, dsetconstrER: $o).
% 0.19/0.36 thf(decl_47, type, exuE1: $o).
% 0.19/0.36 thf(decl_48, type, prop2set: $o > $i).
% 0.19/0.36 thf(decl_49, type, prop2setE: $o).
% 0.19/0.36 thf(decl_50, type, emptysetE: $o).
% 0.19/0.36 thf(decl_51, type, emptysetimpfalse: $o).
% 0.19/0.36 thf(decl_52, type, notinemptyset: $o).
% 0.19/0.36 thf(decl_53, type, exuE3e: $o).
% 0.19/0.36 thf(decl_54, type, setext: $o).
% 0.19/0.36 thf(decl_55, type, emptyI: $o).
% 0.19/0.36 thf(decl_56, type, noeltsimpempty: $o).
% 0.19/0.36 thf(decl_57, type, setbeta: $o).
% 0.19/0.36 thf(decl_58, type, nonempty: $i > $o).
% 0.19/0.36 thf(decl_59, type, nonemptyE1: $o).
% 0.19/0.36 thf(decl_60, type, nonemptyI: $o).
% 0.19/0.36 thf(decl_61, type, nonemptyI1: $o).
% 0.19/0.36 thf(decl_62, type, setadjoinIL: $o).
% 0.19/0.36 thf(decl_63, type, emptyinunitempty: $o).
% 0.19/0.36 thf(decl_64, type, setadjoinIR: $o).
% 0.19/0.36 thf(decl_65, type, setadjoinE: $o).
% 0.19/0.36 thf(decl_66, type, setadjoinOr: $o).
% 0.19/0.36 thf(decl_67, type, setoftrueEq: $o).
% 0.19/0.36 thf(decl_68, type, powersetI: $o).
% 0.19/0.36 thf(decl_69, type, emptyinPowerset: $o).
% 0.19/0.36 thf(decl_70, type, emptyInPowerset: $o).
% 0.19/0.36 thf(decl_71, type, powersetE: $o).
% 0.19/0.36 thf(decl_72, type, setunionI: $o).
% 0.19/0.36 thf(decl_73, type, setunionE: $o).
% 0.19/0.36 thf(decl_74, type, subPowSU: $o).
% 0.19/0.36 thf(decl_75, type, exuE2: $o).
% 0.19/0.36 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.19/0.36 thf(decl_77, type, uniqinunit: $o).
% 0.19/0.36 thf(decl_78, type, notinsingleton: $o).
% 0.19/0.36 thf(decl_79, type, eqinunit: $o).
% 0.19/0.36 thf(decl_80, type, singletonsswitch: $o).
% 0.19/0.36 thf(decl_81, type, upairsetE: $o).
% 0.19/0.36 thf(decl_82, type, upairsetIL: $o).
% 0.19/0.36 thf(decl_83, type, upairsetIR: $o).
% 0.19/0.36 thf(decl_84, type, emptyE1: $o).
% 0.19/0.36 thf(decl_85, type, vacuousDall: $o).
% 0.19/0.36 thf(decl_86, type, quantDeMorgan1: $o).
% 0.19/0.36 thf(decl_87, type, quantDeMorgan2: $o).
% 0.19/0.36 thf(decl_88, type, quantDeMorgan3: $o).
% 0.19/0.36 thf(decl_89, type, quantDeMorgan4: $o).
% 0.19/0.36 thf(decl_90, type, prop2setI: $o).
% 0.19/0.36 thf(decl_91, type, set2prop: $i > $o).
% 0.19/0.36 thf(decl_92, type, prop2set2propI: $o).
% 0.19/0.36 thf(decl_93, type, notdexE: $o).
% 0.19/0.36 thf(decl_94, type, notdallE: $o).
% 0.19/0.36 thf(decl_95, type, exuI1: $o).
% 0.19/0.36 thf(decl_96, type, exuI3: $o).
% 0.19/0.36 thf(decl_97, type, exuI2: $o).
% 0.19/0.36 thf(decl_98, type, inCongP: $o).
% 0.19/0.36 thf(decl_99, type, in__Cong: $o).
% 0.19/0.36 thf(decl_100, type, exuE3u: $o).
% 0.19/0.36 thf(decl_101, type, exu__Cong: $o).
% 0.19/0.36 thf(decl_102, type, emptyset__Cong: $o).
% 0.19/0.36 thf(decl_103, type, setadjoin__Cong: $o).
% 0.19/0.36 thf(decl_104, type, powerset__Cong: $o).
% 0.19/0.36 thf(decl_105, type, setunion__Cong: $o).
% 0.19/0.36 thf(decl_106, type, omega__Cong: $o).
% 0.19/0.36 thf(decl_107, type, exuEu: $o).
% 0.19/0.36 thf(decl_108, type, descr__Cong: $o).
% 0.19/0.36 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.19/0.36 thf(decl_110, type, subset: $i > $i > $o).
% 0.19/0.36 thf(decl_113, type, subsetI1: $o).
% 0.19/0.36 thf(decl_114, type, eqimpsubset2: $o).
% 0.19/0.36 thf(decl_115, type, eqimpsubset1: $o).
% 0.19/0.36 thf(decl_116, type, subsetI2: $o).
% 0.19/0.36 thf(decl_117, type, emptysetsubset: $o).
% 0.19/0.36 thf(decl_118, type, subsetE: $o).
% 0.19/0.36 thf(decl_119, type, subsetE2: $o).
% 0.19/0.36 thf(decl_120, type, notsubsetI: $o).
% 0.19/0.36 thf(decl_121, type, notequalI1: $o).
% 0.19/0.36 thf(decl_122, type, notequalI2: $o).
% 0.19/0.36 thf(decl_123, type, subsetRefl: $o).
% 0.19/0.36 thf(decl_124, type, subsetTrans: $o).
% 0.19/0.36 thf(decl_125, type, setadjoinSub: $o).
% 0.19/0.36 thf(decl_126, type, setadjoinSub2: $o).
% 0.19/0.36 thf(decl_127, type, subset2powerset: $o).
% 0.19/0.36 thf(decl_128, type, setextsub: $o).
% 0.19/0.36 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.19/0.36 thf(decl_130, type, powersetI1: $o).
% 0.19/0.36 thf(decl_131, type, powersetE1: $o).
% 0.19/0.36 thf(decl_132, type, inPowerset: $o).
% 0.19/0.36 thf(decl_133, type, powersetsubset: $o).
% 0.19/0.36 thf(decl_134, type, sepInPowerset: $o).
% 0.19/0.36 thf(decl_135, type, sepSubset: $o).
% 0.19/0.36 thf(decl_136, type, binunion: $i > $i > $i).
% 0.19/0.36 thf(decl_137, type, binunionIL: $o).
% 0.19/0.36 thf(decl_138, type, upairset2IR: $o).
% 0.19/0.36 thf(decl_139, type, binunionIR: $o).
% 0.19/0.36 thf(decl_140, type, binunionEcases: $o).
% 0.19/0.36 thf(decl_141, type, binunionE: $o).
% 0.19/0.36 thf(decl_142, type, binunionLsub: $o).
% 0.19/0.36 thf(decl_143, type, binunionRsub: $o).
% 0.19/0.36 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.19/0.36 thf(decl_145, type, binintersectI: $o).
% 0.19/0.36 thf(decl_146, type, binintersectSubset5: $o).
% 0.19/0.36 thf(decl_147, type, binintersectEL: $o).
% 0.19/0.36 thf(decl_148, type, binintersectLsub: $o).
% 0.19/0.36 thf(decl_149, type, binintersectSubset2: $o).
% 0.19/0.36 thf(decl_150, type, binintersectSubset3: $o).
% 0.19/0.36 thf(decl_151, type, binintersectER: $o).
% 0.19/0.36 thf(decl_152, type, disjointsetsI1: $o).
% 0.19/0.36 thf(decl_153, type, binintersectRsub: $o).
% 0.19/0.36 thf(decl_154, type, binintersectSubset4: $o).
% 0.19/0.36 thf(decl_155, type, binintersectSubset1: $o).
% 0.19/0.36 thf(decl_156, type, bs114d: $o).
% 0.19/0.36 thf(decl_158, type, setminus: $i > $i > $i).
% 0.19/0.36 thf(decl_159, type, setminusI: $o).
% 0.19/0.36 thf(decl_160, type, setminusEL: $o).
% 0.19/0.36 thf(decl_161, type, setminusER: $o).
% 0.19/0.36 thf(decl_162, type, setminusSubset2: $o).
% 0.19/0.36 thf(decl_163, type, setminusERneg: $o).
% 0.19/0.36 thf(decl_164, type, setminusELneg: $o).
% 0.19/0.36 thf(decl_165, type, setminusILneg: $o).
% 0.19/0.36 thf(decl_166, type, setminusIRneg: $o).
% 0.19/0.36 thf(decl_167, type, setminusLsub: $o).
% 0.19/0.36 thf(decl_168, type, setminusSubset1: $o).
% 0.19/0.36 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.19/0.36 thf(decl_170, type, symdiffE: $o).
% 0.19/0.36 thf(decl_171, type, symdiffI1: $o).
% 0.19/0.36 thf(decl_172, type, symdiffI2: $o).
% 0.19/0.36 thf(decl_173, type, symdiffIneg1: $o).
% 0.19/0.36 thf(decl_174, type, symdiffIneg2: $o).
% 0.19/0.36 thf(decl_175, type, iskpair: $i > $o).
% 0.19/0.36 thf(decl_176, type, secondinupair: $o).
% 0.19/0.36 thf(decl_177, type, setukpairIL: $o).
% 0.19/0.36 thf(decl_178, type, setukpairIR: $o).
% 0.19/0.36 thf(decl_179, type, kpairiskpair: $o).
% 0.19/0.36 thf(decl_180, type, kpair: $i > $i > $i).
% 0.19/0.36 thf(decl_181, type, kpairp: $o).
% 0.19/0.36 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.19/0.36 thf(decl_183, type, singletonsubset: $o).
% 0.19/0.36 thf(decl_184, type, singletoninpowerset: $o).
% 0.19/0.36 thf(decl_185, type, singletoninpowunion: $o).
% 0.19/0.36 thf(decl_186, type, upairset2E: $o).
% 0.19/0.36 thf(decl_187, type, upairsubunion: $o).
% 0.19/0.36 thf(decl_188, type, upairinpowunion: $o).
% 0.19/0.36 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.19/0.36 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.19/0.36 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.19/0.36 thf(decl_192, type, cartprodpairin: $o).
% 0.19/0.36 thf(decl_193, type, cartprodmempair1: $o).
% 0.19/0.36 thf(decl_194, type, cartprodmempair: $o).
% 0.19/0.36 thf(decl_195, type, setunionE2: $o).
% 0.19/0.36 thf(decl_196, type, setunionsingleton1: $o).
% 0.19/0.36 thf(decl_197, type, setunionsingleton2: $o).
% 0.19/0.36 thf(decl_198, type, setunionsingleton: $o).
% 0.19/0.36 thf(decl_199, type, singleton: $i > $o).
% 0.19/0.36 thf(decl_200, type, singletonprop: $o).
% 0.19/0.36 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 0.19/0.36 thf(decl_202, type, epred1_0: $o).
% 0.19/0.36 thf(decl_203, type, esk1_2: $i > $i > $i).
% 0.19/0.36 thf(decl_204, type, esk2_2: $i > $i > $i).
% 0.19/0.36 thf(decl_205, type, esk3_2: $i > $i > $i).
% 0.19/0.36 thf(decl_206, type, esk4_1: $i > $i).
% 0.19/0.36 thf(decl_207, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.19/0.36 thf(decl_208, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.19/0.36 thf(decl_209, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.19/0.36 thf(decl_210, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.19/0.36 thf(decl_211, type, esk9_1: $i > $i).
% 0.19/0.36 thf(decl_212, type, esk10_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_213, type, esk11_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_214, type, esk12_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_215, type, esk13_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_216, type, esk14_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_217, type, esk15_2: $i > $i > $i).
% 0.19/0.36 thf(decl_218, type, esk16_2: $i > $i > $i).
% 0.19/0.36 thf(decl_219, type, esk17_1: $i > $i).
% 0.19/0.36 thf(decl_220, type, esk18_1: $i > $i).
% 0.19/0.36 thf(decl_221, type, esk19_1: $i > $i).
% 0.19/0.36 thf(decl_222, type, esk20_2: $i > $i > $i).
% 0.19/0.36 thf(decl_223, type, esk21_3: $i > $i > $o > $i).
% 0.19/0.36 thf(decl_224, type, esk22_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_225, type, esk23_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_226, type, esk24_1: $i > $i).
% 0.19/0.36 thf(decl_227, type, esk25_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_228, type, esk26_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_229, type, esk27_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_230, type, esk28_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_231, type, esk29_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_232, type, esk30_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_233, type, esk31_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_234, type, esk32_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_235, type, esk33_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_236, type, esk34_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_237, type, esk35_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_238, type, esk36_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_239, type, esk37_1: ($i > $o) > $i).
% 0.19/0.36 thf(decl_240, type, esk38_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_241, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_242, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_243, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_244, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_245, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_246, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_247, type, esk45_2: ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_248, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_249, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_250, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_251, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.36 thf(decl_252, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_253, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.19/0.36 thf(decl_254, type, esk52_2: $i > $i > $i).
% 0.19/0.36 thf(decl_255, type, esk53_2: $i > $i > $i).
% 0.19/0.36 thf(decl_256, type, esk54_2: $i > $i > $i).
% 0.19/0.36 thf(decl_257, type, esk55_2: $i > $i > $i).
% 0.19/0.36 thf(decl_258, type, esk56_2: $i > $i > $i).
% 0.19/0.36 thf(decl_259, type, esk57_2: $i > $i > $i).
% 0.19/0.36 thf(decl_260, type, esk58_2: $i > $i > $i).
% 0.19/0.36 thf(decl_261, type, esk59_3: $i > $i > $i > $i).
% 0.19/0.36 thf(decl_262, type, esk60_3: $i > $i > $i > $i).
% 0.19/0.36 thf(decl_263, type, esk61_3: $i > $i > $i > $i).
% 0.19/0.36 thf(decl_264, type, esk62_3: $i > $i > $i > $i).
% 0.19/0.36 thf(decl_265, type, esk63_2: $i > $i > $i).
% 0.19/0.36 thf(decl_266, type, esk64_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_267, type, esk65_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_268, type, esk66_2: $i > ($i > $o) > $i).
% 0.19/0.36 thf(decl_269, type, esk67_0: $i).
% 0.19/0.36 thf(decl_270, type, epred2_0: $i > $o).
% 0.19/0.36 thf(decl_271, type, esk68_0: $i).
% 0.19/0.36 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', replAx)).
% 0.19/0.36 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exu)).
% 0.19/0.36 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', descrp)).
% 0.19/0.36 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuE1)).
% 0.19/0.36 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuE3e)).
% 0.19/0.36 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', nonempty)).
% 0.19/0.36 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', nonemptyI)).
% 0.19/0.36 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuE2)).
% 0.19/0.36 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.I990iOt5HB/E---3.1_1291724.p', exuI1)).
% 0.19/0.36 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuI3)).
% 0.19/0.36 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuI2)).
% 0.19/0.36 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.I990iOt5HB/E---3.1_1291724.p', exuE3u)).
% 0.19/0.36 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exu__Cong)).
% 0.19/0.36 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', exuEu)).
% 0.19/0.36 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', descr__Cong)).
% 0.19/0.36 thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', iskpair)).
% 0.19/0.36 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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singletonprop)).
% 0.19/0.36 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singleton)).
% 0.19/0.36 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', ex1)).
% 0.19/0.36 thf(ex1E1, 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)=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', ex1E1)).
% 0.19/0.36 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', dsetconstrI)).
% 0.19/0.36 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', dsetconstrEL)).
% 0.19/0.36 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', dsetconstrER)).
% 0.19/0.36 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setbeta)).
% 0.19/0.36 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', nonemptyE1)).
% 0.19/0.36 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', nonemptyI1)).
% 0.19/0.36 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setoftrueEq)).
% 0.19/0.36 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', nonemptyImpWitness)).
% 0.19/0.36 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.I990iOt5HB/E---3.1_1291724.p', emptyE1)).
% 0.19/0.36 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', dsetconstr__Cong)).
% 0.19/0.36 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', sepInPowerset)).
% 0.19/0.36 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', sepSubset)).
% 0.19/0.36 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.I990iOt5HB/E---3.1_1291724.p', kpairiskpair)).
% 0.19/0.36 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', kpairp)).
% 0.19/0.36 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', cartprodmempair)).
% 0.19/0.36 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setextAx)).
% 0.19/0.36 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptysetAx)).
% 0.19/0.36 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinAx)).
% 0.19/0.36 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetAx)).
% 0.19/0.36 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionAx)).
% 0.19/0.36 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', omega0Ax)).
% 0.19/0.36 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', omegaSAx)).
% 0.19/0.36 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.I990iOt5HB/E---3.1_1291724.p', omegaIndAx)).
% 0.19/0.36 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.I990iOt5HB/E---3.1_1291724.p', foundationAx)).
% 0.19/0.36 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', wellorderingAx)).
% 0.19/0.36 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', prop2setE)).
% 0.19/0.36 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptysetE)).
% 0.19/0.36 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptysetimpfalse)).
% 0.19/0.36 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notinemptyset)).
% 0.19/0.36 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.I990iOt5HB/E---3.1_1291724.p', setext)).
% 0.19/0.36 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptyI)).
% 0.19/0.36 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', noeltsimpempty)).
% 0.19/0.36 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinIL)).
% 0.19/0.36 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptyinunitempty)).
% 0.19/0.36 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinIR)).
% 0.19/0.36 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinE)).
% 0.19/0.36 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinOr)).
% 0.19/0.36 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetI)).
% 0.19/0.36 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptyinPowerset)).
% 0.19/0.36 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptyInPowerset)).
% 0.19/0.36 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetE)).
% 0.19/0.36 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionI)).
% 0.19/0.36 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionE)).
% 0.19/0.36 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subPowSU)).
% 0.19/0.36 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', uniqinunit)).
% 0.19/0.36 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notinsingleton)).
% 0.19/0.36 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', eqinunit)).
% 0.19/0.36 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singletonsswitch)).
% 0.19/0.36 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairsetE)).
% 0.19/0.36 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairsetIL)).
% 0.19/0.36 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairsetIR)).
% 0.19/0.36 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', vacuousDall)).
% 0.19/0.36 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', quantDeMorgan1)).
% 0.19/0.36 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', quantDeMorgan2)).
% 0.19/0.36 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', quantDeMorgan3)).
% 0.19/0.36 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', quantDeMorgan4)).
% 0.19/0.36 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', prop2setI)).
% 0.19/0.36 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', prop2set2propI)).
% 0.19/0.36 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notdexE)).
% 0.19/0.36 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notdallE)).
% 0.19/0.36 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', inCongP)).
% 0.19/0.36 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', in__Cong)).
% 0.19/0.36 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptyset__Cong)).
% 0.19/0.36 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoin__Cong)).
% 0.19/0.36 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powerset__Cong)).
% 0.19/0.36 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunion__Cong)).
% 0.19/0.36 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', omega__Cong)).
% 0.19/0.36 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetI1)).
% 0.19/0.36 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', eqimpsubset2)).
% 0.19/0.36 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', eqimpsubset1)).
% 0.19/0.36 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetI2)).
% 0.19/0.36 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', emptysetsubset)).
% 0.19/0.36 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetE)).
% 0.19/0.36 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetE2)).
% 0.19/0.36 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notsubsetI)).
% 0.19/0.36 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notequalI1)).
% 0.19/0.36 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', notequalI2)).
% 0.19/0.36 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetRefl)).
% 0.19/0.36 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetTrans)).
% 0.19/0.36 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinSub)).
% 0.19/0.36 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setadjoinSub2)).
% 0.19/0.36 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subset2powerset)).
% 0.19/0.36 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setextsub)).
% 0.19/0.36 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', subsetemptysetimpeq)).
% 0.19/0.36 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetI1)).
% 0.19/0.36 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetE1)).
% 0.19/0.36 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', inPowerset)).
% 0.19/0.36 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', powersetsubset)).
% 0.19/0.36 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionIL)).
% 0.19/0.36 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairset2IR)).
% 0.19/0.36 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionIR)).
% 0.19/0.36 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionEcases)).
% 0.19/0.36 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionE)).
% 0.19/0.36 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionLsub)).
% 0.19/0.36 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binunionRsub)).
% 0.19/0.36 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectI)).
% 0.19/0.36 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectSubset5)).
% 0.19/0.36 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectEL)).
% 0.19/0.36 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectLsub)).
% 0.19/0.36 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectSubset2)).
% 0.19/0.36 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectSubset3)).
% 0.19/0.36 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectER)).
% 0.19/0.36 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', disjointsetsI1)).
% 0.19/0.36 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectRsub)).
% 0.19/0.36 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectSubset4)).
% 0.19/0.36 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', binintersectSubset1)).
% 0.19/0.36 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', bs114d)).
% 0.19/0.36 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusI)).
% 0.19/0.36 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusEL)).
% 0.19/0.36 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusER)).
% 0.19/0.36 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusSubset2)).
% 0.19/0.36 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusERneg)).
% 0.19/0.36 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusELneg)).
% 0.19/0.36 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusILneg)).
% 0.19/0.36 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusIRneg)).
% 0.19/0.36 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusLsub)).
% 0.19/0.36 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setminusSubset1)).
% 0.19/0.36 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', symdiffE)).
% 0.19/0.36 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', symdiffI1)).
% 0.19/0.36 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', symdiffI2)).
% 0.19/0.36 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', symdiffIneg1)).
% 0.19/0.36 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', symdiffIneg2)).
% 0.19/0.36 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', secondinupair)).
% 0.19/0.36 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setukpairIL)).
% 0.19/0.36 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setukpairIR)).
% 0.19/0.36 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singletonsubset)).
% 0.19/0.36 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singletoninpowerset)).
% 0.19/0.36 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', singletoninpowunion)).
% 0.19/0.36 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairset2E)).
% 0.19/0.36 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairsubunion)).
% 0.19/0.36 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', upairinpowunion)).
% 0.19/0.36 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', ubforcartprodlem1)).
% 0.19/0.36 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', ubforcartprodlem2)).
% 0.19/0.36 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', ubforcartprodlem3)).
% 0.19/0.36 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', cartprodpairin)).
% 0.19/0.36 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.I990iOt5HB/E---3.1_1291724.p', cartprodmempair1)).
% 0.19/0.36 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionE2)).
% 0.19/0.36 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionsingleton1)).
% 0.19/0.36 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionsingleton2)).
% 0.19/0.36 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.I990iOt5HB/E---3.1_1291724.p', setunionsingleton)).
% 0.19/0.36 thf(c_0_160, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.19/0.36 thf(c_0_161, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.19/0.36 thf(c_0_162, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.19/0.36 thf(c_0_163, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.19/0.36 thf(c_0_164, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.19/0.36 thf(c_0_165, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.19/0.36 thf(c_0_166, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.19/0.36 thf(c_0_167, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.19/0.36 thf(c_0_168, 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])).
% 0.19/0.36 thf(c_0_169, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.19/0.36 thf(c_0_170, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.19/0.36 thf(c_0_171, 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])).
% 0.19/0.36 thf(c_0_172, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.19/0.36 thf(c_0_173, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.19/0.36 thf(c_0_174, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.19/0.36 thf(c_0_175, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
% 0.19/0.36 thf(c_0_176, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.19/0.36 thf(c_0_177, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 0.19/0.36 thf(c_0_178, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X477:$i]:((((in @ X477 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X477 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 0.19/0.36 thf(c_0_179, 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)=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[ex1E1])).
% 0.19/0.36 thf(c_0_180, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X442:$i]:(((((X6 @ X2 @ X442)))&(![X443:$i]:(((((X6 @ X2 @ X443)))=>(((X442)=(X443)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_160, c_0_161])).
% 0.19/0.36 thf(c_0_181, plain, ((descrp)=(![X1:$i > $o]:((((?[X444:$i]:(((((X1 @ X444)))&(![X445:$i]:(((((X1 @ X445)))=>(((X444)=(X445))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_162, c_0_161])).
% 0.19/0.36 thf(c_0_182, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.19/0.36 thf(c_0_183, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.19/0.36 thf(c_0_184, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.19/0.36 thf(c_0_185, plain, ((exuE1)=(![X1:$i > $o]:((((?[X446:$i]:(((((X1 @ X446)))&(![X447:$i]:(((((X1 @ X447)))=>(((X446)=(X447))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_163, c_0_161])).
% 0.19/0.36 thf(c_0_186, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X448:$i]:(((((X1 @ X448)))&(![X449:$i]:(((((X1 @ X449)))=>(((X448)=(X449))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_164, c_0_161])).
% 0.19/0.36 thf(c_0_187, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.19/0.36 thf(c_0_188, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_165])).
% 0.19/0.36 thf(c_0_189, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_166, c_0_165])).
% 0.19/0.36 thf(c_0_190, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_165])).
% 0.19/0.36 thf(c_0_191, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.19/0.36 thf(c_0_192, plain, ((exuE2)=(![X1:$i > $o]:((((?[X450:$i]:(((((X1 @ X450)))&(![X451:$i]:(((((X1 @ X451)))=>(((X450)=(X451))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_167, c_0_161])).
% 0.19/0.36 thf(c_0_193, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_165])).
% 0.19/0.36 thf(c_0_194, 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])).
% 0.19/0.36 thf(c_0_195, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X452:$i]:(((((X1 @ X452)))&(![X453:$i]:(((((X1 @ X453)))=>(((X452)=(X453)))))))))))))), inference(apply_def,[status(thm)],[c_0_168, c_0_161])).
% 0.19/0.36 thf(c_0_196, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X454:$i]:(((((X1 @ X454)))&(![X455:$i]:(((((X1 @ X455)))=>(((X454)=(X455)))))))))))))))), inference(apply_def,[status(thm)],[c_0_169, c_0_161])).
% 0.19/0.36 thf(c_0_197, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X456:$i]:(((((X1 @ X456)))&(![X457:$i]:(((((X1 @ X457)))=>(((X456)=(X457)))))))))))))), inference(apply_def,[status(thm)],[c_0_170, c_0_161])).
% 0.19/0.36 thf(c_0_198, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X458:$i]:(((((X1 @ X458)))&(![X459:$i]:(((((X1 @ X459)))=>(((X458)=(X459))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_171, c_0_161])).
% 0.19/0.36 thf(c_0_199, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X460:$i]:(((((X1 @ X460)))&(![X461:$i]:(((((X1 @ X461)))=>(((X460)=(X461))))))))))<=>((?[X462:$i]:(((((X17 @ X462)))&(![X463:$i]:(((((X17 @ X463)))=>(((X462)=(X463)))))))))))))))), inference(apply_def,[status(thm)],[c_0_172, c_0_161])).
% 0.19/0.36 thf(c_0_200, plain, ((exuEu)=(![X1:$i > $o]:((((?[X464:$i]:(((((X1 @ X464)))&(![X465:$i]:(((((X1 @ X465)))=>(((X464)=(X465))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_173, c_0_161])).
% 0.19/0.36 thf(c_0_201, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X466:$i]:(((((X1 @ X466)))&(![X467:$i]:(((((X1 @ X467)))=>(((X466)=(X467))))))))))=>((((?[X468:$i]:(((((X17 @ X468)))&(![X469:$i]:(((((X17 @ X469)))=>(((X468)=(X469))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_174, c_0_161])).
% 0.19/0.36 thf(c_0_202, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.19/0.36 thf(c_0_203, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.19/0.36 thf(c_0_204, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.19/0.36 thf(c_0_205, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X470:$i]:((((in @ X470 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X471:$i]:((((in @ X471 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X470 @ emptyset) @ (setadjoin @ (setadjoin @ X470 @ (setadjoin @ X471 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_175])).
% 0.19/0.36 thf(c_0_206, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X472:$i]:((((in @ X472 @ (setunion @ (kpair @ X2 @ X3))))&(?[X473:$i]:((((in @ X473 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X472 @ emptyset) @ (setadjoin @ (setadjoin @ X472 @ (setadjoin @ X473 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_175])).
% 0.19/0.36 thf(c_0_207, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X474:$i]:((((in @ X474 @ (setunion @ X18)))&(?[X475:$i]:((((in @ X475 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X474 @ emptyset) @ (setadjoin @ (setadjoin @ X474 @ (setadjoin @ X475 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_175])).
% 0.19/0.36 thf(c_0_208, plain, ((singletonprop)=(![X4:$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)))))=>((?[X476:$i]:((((in @ X476 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X476 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_176, c_0_177])).
% 0.19/0.36 thf(c_0_209, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X477:$i]:((((in @ X477 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X477 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_177])).
% 0.19/0.36 thf(c_0_210, plain, ((epred1_0)<=>![X507:$i]:(?[X508:$i]:((((![X509:$i]:(((in @ X509 @ X508)=>![X510:$i]:(((in @ X510 @ X509)=>(in @ X510 @ X507)))))&![X511:$i, X512:$i]:((((in @ X511 @ X507)&(in @ X512 @ X507))=>(![X513:$i]:(((in @ X513 @ X508)=>((in @ X511 @ X513)<=>(in @ X512 @ X513))))=>((X511)=(X512))))))&![X514:$i, X515:$i]:((((in @ X514 @ X508)&(in @ X515 @ X508))=>(![X516:$i]:(((in @ X516 @ X514)=>(in @ X516 @ X515)))|![X517:$i]:(((in @ X517 @ X515)=>(in @ X517 @ X514)))))))&![X518:$i]:(((![X519:$i]:(((in @ X519 @ X518)=>(in @ X519 @ X507)))&?[X520:$i]:((in @ X520 @ X518)))=>?[X521:$i, X522:$i]:(((((in @ X521 @ X508)&(in @ X522 @ X518))&~(?[X523:$i]:(((in @ X523 @ X521)&(in @ X523 @ X518)))))&![X524:$i]:(((in @ X524 @ X508)=>(![X525:$i]:(((in @ X525 @ X524)=>(in @ X525 @ X521)))|(in @ X522 @ X524)))))))))))), introduced(definition)).
% 0.19/0.36 thf(c_0_211, negated_conjecture, ~((![X478:$i, X479:$i]:((![X480:$i]:(((in @ X480 @ X478)<=>(in @ X480 @ X479)))=>((X478)=(X479))))=>(![X481:$i]:(~(in @ X481 @ emptyset))=>(![X482:$i, X483:$i, X484:$i]:(((in @ X484 @ (setadjoin @ X482 @ X483))<=>(((X484)=(X482))|(in @ X484 @ X483))))=>(![X485:$i, X486:$i]:(((in @ X486 @ (powerset @ X485))<=>![X487:$i]:(((in @ X487 @ X486)=>(in @ X487 @ X485)))))=>(![X488:$i, X489:$i]:(((in @ X489 @ (setunion @ X488))<=>?[X490:$i]:(((in @ X489 @ X490)&(in @ X490 @ X488)))))=>((in @ emptyset @ omega)=>(![X491:$i]:(((in @ X491 @ omega)=>(in @ (setadjoin @ X491 @ X491) @ omega)))=>(![X492:$i]:((((in @ emptyset @ X492)&![X493:$i]:((((in @ X493 @ omega)&(in @ X493 @ X492))=>(in @ (setadjoin @ X493 @ X493) @ X492))))=>![X494:$i]:(((in @ X494 @ omega)=>(in @ X494 @ X492)))))=>(![X495:$i > $i > $o, X496:$i]:((![X497:$i]:(((in @ X497 @ X496)=>?[X498:$i]:(((X495 @ X497 @ X498)&![X499:$i]:(((X495 @ X497 @ X499)=>((X498)=(X499))))))))=>?[X500:$i]:(![X501:$i]:(((in @ X501 @ X500)<=>?[X502:$i]:(((in @ X502 @ X496)&(X495 @ X502 @ X501))))))))=>(![X503:$i]:((?[X504:$i]:((in @ X504 @ X503))=>?[X505:$i]:(((in @ X505 @ X503)&~(?[X506:$i]:(((in @ X506 @ X505)&(in @ X506 @ X503))))))))=>((epred1_0)=>(![X526:$i > $o]:((?[X527:$i]:(((X526 @ X527)&![X528:$i]:(((X526 @ X528)=>((X527)=(X528))))))=>(X526 @ (descr @ (^[Z0:$i]:(X526 @ Z0))))))=>(![X529:$i, X530:$i > $o, X531:$i]:(((in @ X531 @ X529)=>((X530 @ X531)=>(in @ X531 @ (dsetconstr @ X529 @ X530)))))=>(![X532:$i, X533:$i > $o, X534:$i]:(((in @ X534 @ (dsetconstr @ X532 @ X533))=>(in @ X534 @ X532)))=>(![X535:$i, X536:$i > $o, X537:$i]:(((in @ X537 @ (dsetconstr @ X535 @ X536))=>(X536 @ X537)))=>(![X538:$i > $o]:((?[X539:$i]:(((X538 @ X539)&![X540:$i]:(((X538 @ X540)=>((X539)=(X540))))))=>?[X541:$i]:(((X538 @ X541)&![X542:$i]:(((X538 @ X542)=>((X541)=(X542))))))))=>(![X543:$o, X544:$i]:(((in @ X544 @ (prop2set @ ((X543))))=>(X543)))=>(![X545:$i]:(((in @ X545 @ emptyset)=>![X546:$o]:((X546))))=>(![X547:$i]:(((in @ X547 @ emptyset)=>~($true)))=>(![X548:$i]:(~(in @ X548 @ emptyset))=>(![X549:$i > $o]:((?[X550:$i]:(((X549 @ X550)&![X551:$i]:(((X549 @ X551)=>((X550)=(X551))))))=>?[X552:$i]:((X549 @ X552))))=>(![X553:$i, X554:$i]:((![X555:$i]:(((in @ X555 @ X553)=>(in @ X555 @ X554)))=>(![X556:$i]:(((in @ X556 @ X554)=>(in @ X556 @ X553)))=>((X553)=(X554)))))=>(![X557:$i]:((![X558:$i]:(~(in @ X558 @ X557))=>((X557)=(emptyset))))=>(![X559:$i]:((![X560:$i]:(~(in @ X560 @ X559))=>((X559)=(emptyset))))=>(![X561:$i, X562:$i > $o, X563:$i]:(((in @ X563 @ X561)=>((in @ X563 @ (dsetconstr @ X561 @ X562))<=>(X562 @ X563))))=>(![X564:$i]:((((X564)!=(emptyset))=>?[X565:$i]:((in @ X565 @ X564))))=>(![X566:$i, X567:$i > $o, X568:$i]:(((in @ X568 @ X566)=>((X567 @ X568)=>((dsetconstr @ X566 @ X567)!=(emptyset)))))=>(![X569:$i]:((?[X570:$i]:((in @ X570 @ X569))=>((X569)!=(emptyset))))=>(![X571:$i, X572:$i]:((in @ X571 @ (setadjoin @ X571 @ X572)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X573:$i, X574:$i, X575:$i]:(((in @ X575 @ X574)=>(in @ X575 @ (setadjoin @ X573 @ X574))))=>(![X576:$i, X577:$i, X578:$i]:(((in @ X578 @ (setadjoin @ X576 @ X577))=>![X579:$o]:(((((X578)=(X576))=>(X579))=>(((in @ X578 @ X577)=>(X579))=>(X579))))))=>(![X580:$i, X581:$i, X582:$i]:(((in @ X582 @ (setadjoin @ X580 @ X581))=>(((X582)=(X580))|(in @ X582 @ X581))))=>(![X583:$i]:(((dsetconstr @ X583 @ (^[Z0:$i]:($true)))=(X583)))=>(![X584:$i, X585:$i]:((![X586:$i]:(((in @ X586 @ X585)=>(in @ X586 @ X584)))=>(in @ X585 @ (powerset @ X584))))=>(![X587:$i]:((in @ emptyset @ (powerset @ X587)))=>(![X588:$i]:((in @ emptyset @ (powerset @ X588)))=>(![X589:$i, X590:$i, X591:$i]:(((in @ X590 @ (powerset @ X589))=>((in @ X591 @ X590)=>(in @ X591 @ X589))))=>(![X592:$i, X593:$i, X594:$i]:(((in @ X593 @ X594)=>((in @ X594 @ X592)=>(in @ X593 @ (setunion @ X592)))))=>(![X595:$i, X596:$i]:(((in @ X596 @ (setunion @ 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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(fof_simplification,[status(thm)],[c_0_179]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_180]), foundationAx]), wellorderingAx]), c_0_181]), c_0_182]), c_0_183]), c_0_184]), c_0_185]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_186]), setext]), emptyI]), noeltsimpempty]), c_0_187]), c_0_188]), c_0_189]), c_0_190]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_191]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_192]), c_0_193]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_194]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_195]), c_0_196]), c_0_197]), inCongP]), in__Cong]), c_0_198]), c_0_199]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_200]), c_0_201]), c_0_202]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_203]), c_0_204]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), c_0_205]), c_0_206]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_207]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_208]), c_0_209])])]), c_0_210])).
% 0.19/0.36 thf(c_0_212, negated_conjecture, ![X935:$i, X936:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X948:$i, X949:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X957:$i, X958:$i > $i > $o, X959:$i, X961:$i, X964:$i, X966:$i, X967:$i, X968:$i, X969:$i, X971:$i, X972:$i > $o, X973:$i, X975:$i, X976:$i > $o, X977:$i, X978:$i, X979:$i > $o, X980:$i, X981:$i, X982:$i > $o, X983:$i, X984:$i > $o, X985:$i, X988:$i, X989:$o, X990:$i, X991:$i, X992:$o, X993:$i, X994:$i, X995:$i > $o, X996:$i, X999:$i, X1000:$i, X1003:$i, X1005:$i, X1007:$i, X1008:$i > $o, X1009:$i, X1010:$i, X1012:$i, X1013:$i > $o, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$o, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$o, X1045:$i, X1046:$i, X1047:$i > $o, X1048:$i, X1051:$i, X1052:$i, X1053:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i > $o, X1072:$i, X1073:$i > $o, X1074:$i, X1075:$i, X1076:$i > $o, X1077:$i, X1079:$i, X1080:$i > $o, X1082:$i, X1083:$i, X1084:$i > $o, X1086:$i, X1087:$i, X1088:$i > $o, X1089:$i, X1091:$o, X1092:$o, X1093:$i, X1094:$i > $o, X1096:$i, X1097:$i, X1098:$i > $o, X1099:$i, X1101:$i > $o, X1102:$i, X1105:$i, X1106:$i > $o, X1107:$i, X1111:$i, X1112:$i > $o, X1113:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i > $o, X1126:$i, X1128:$i, X1129:$i, X1130:$i > $o, X1131:$i > $o, X1134:$i, X1137:$i, X1138:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i > $o, X1151:$i, X1153:$i, X1154:$i, X1155:$i > $o, X1156:$i > $o, X1159:$i, X1161:$i, X1163:$i, X1164:$i, X1165:$i > $o, X1166:$i > $o, X1169:$i, X1170:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i > $o, X1217:$i, X1218:$i > $o, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$o, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$o, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1321:$i, X1322:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1364:$i, X1365:$i, X1366:$i, X1369:$i, X1370:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i > $o, X1379:$i, X1384:$i]:((((~(in @ (esk1_2 @ X935 @ X936) @ X935)|~(in @ (esk1_2 @ X935 @ X936) @ X936)|((X935)=(X936)))&((in @ (esk1_2 @ X935 @ X936) @ X935)|(in @ (esk1_2 @ X935 @ X936) @ X936)|((X935)=(X936))))&(~(in @ X938 @ emptyset)&(((~(in @ X941 @ (setadjoin @ X939 @ X940))|(((X941)=(X939))|(in @ X941 @ X940)))&((((X941)!=(X939))|(in @ X941 @ (setadjoin @ X939 @ X940)))&(~(in @ X941 @ X940)|(in @ X941 @ (setadjoin @ X939 @ X940)))))&(((~(in @ X943 @ (powerset @ X942))|(~(in @ X944 @ X943)|(in @ X944 @ X942)))&(((in @ (esk2_2 @ X945 @ X946) @ X946)|(in @ X946 @ (powerset @ X945)))&(~(in @ (esk2_2 @ X945 @ X946) @ X945)|(in @ X946 @ (powerset @ X945)))))&(((((in @ X949 @ (esk3_2 @ X948 @ X949))|~(in @ X949 @ (setunion @ X948)))&((in @ (esk3_2 @ X948 @ X949) @ X948)|~(in @ X949 @ (setunion @ X948))))&(~(in @ X952 @ X953)|~(in @ X953 @ X951)|(in @ X952 @ (setunion @ X951))))&((in @ emptyset @ omega)&((~(in @ X954 @ omega)|(in @ (setadjoin @ X954 @ X954) @ omega))&(((((in @ (esk4_1 @ X955) @ omega)|~(in @ emptyset @ X955)|(~(in @ X957 @ omega)|(in @ X957 @ X955)))&((in @ (esk4_1 @ X955) @ X955)|~(in @ emptyset @ X955)|(~(in @ X957 @ omega)|(in @ X957 @ X955))))&(~(in @ (setadjoin @ (esk4_1 @ X955) @ (esk4_1 @ X955)) @ X955)|~(in @ emptyset @ X955)|(~(in @ X957 @ omega)|(in @ X957 @ X955))))&((((((in @ (esk8_3 @ X958 @ X959 @ X964) @ X959)|~(in @ X964 @ (esk7_2 @ X958 @ X959))|(in @ (esk5_2 @ X958 @ X959) @ X959))&((X958 @ (esk8_3 @ X958 @ X959 @ X964) @ X964)|~(in @ X964 @ (esk7_2 @ X958 @ X959))|(in @ (esk5_2 @ X958 @ X959) @ X959)))&(~(in @ X967 @ X959)|~(X958 @ X967 @ X966)|(in @ X966 @ (esk7_2 @ X958 @ X959))|(in @ (esk5_2 @ X958 @ X959) @ X959)))&(((((in @ (esk8_3 @ X958 @ X959 @ X964) @ X959)|~(in @ X964 @ (esk7_2 @ X958 @ X959))|((X958 @ (esk5_2 @ X958 @ X959) @ (esk6_3 @ X958 @ X959 @ X961))|~(X958 @ (esk5_2 @ X958 @ X959) @ X961)))&((X958 @ (esk8_3 @ X958 @ X959 @ X964) @ X964)|~(in @ X964 @ (esk7_2 @ X958 @ X959))|((X958 @ (esk5_2 @ X958 @ X959) @ (esk6_3 @ X958 @ X959 @ X961))|~(X958 @ (esk5_2 @ X958 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X972))))&((~(in @ X977 @ X975)|(~(X976 @ X977)|(in @ X977 @ (dsetconstr @ X975 @ X976))))&((~(in @ X980 @ (dsetconstr @ X978 @ X979))|(in @ X980 @ X978))&((~(in @ X983 @ (dsetconstr @ X981 @ X982))|(X982 @ X983))&(((((X984 @ (esk12_1 @ X984))|((X984 @ (esk11_2 @ X984 @ X985))|~(X984 @ X985)))&(~(X984 @ X988)|((esk12_1 @ X984)=(X988))|((X984 @ (esk11_2 @ X984 @ X985))|~(X984 @ X985))))&(((X984 @ (esk12_1 @ X984))|(((X985)!=(esk11_2 @ X984 @ X985))|~(X984 @ X985)))&(~(X984 @ X988)|((esk12_1 @ X984)=(X988))|(((X985)!=(esk11_2 @ X984 @ X985))|~(X984 @ X985)))))&((~(in @ X990 @ (prop2set @ ((X989))))|(X989))&((~(in @ X991 @ emptyset)|(X992))&((~(in @ X993 @ emptyset)|~($true))&(~(in @ X994 @ emptyset)&((((X995 @ (esk13_2 @ X995 @ X996))|~(X995 @ X996)|(X995 @ (esk14_1 @ X995)))&(((X996)!=(esk13_2 @ X995 @ X996))|~(X995 @ X996)|(X995 @ (esk14_1 @ X995))))&(((((in @ (esk16_2 @ X999 @ X1000) @ X1000)|((X999)=(X1000))|(in @ (esk15_2 @ X999 @ X1000) @ X999))&(~(in @ (esk16_2 @ X999 @ X1000) @ 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X1159))|((esk46_2 @ X1155 @ X1156)=(esk47_2 @ X1155 @ X1156)))))&(((((X1156 @ (esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|((X1155 @ (esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|(~(X1155 @ (esk46_2 @ X1155 @ X1156))|~(X1156 @ (esk47_2 @ X1155 @ X1156))))&(((X1161)!=(esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|((X1155 @ (esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|(~(X1155 @ (esk46_2 @ X1155 @ X1156))|~(X1156 @ (esk47_2 @ X1155 @ X1156)))))&(((X1156 @ (esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|(((X1159)!=(esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|(~(X1155 @ (esk46_2 @ X1155 @ X1156))|~(X1156 @ (esk47_2 @ X1155 @ X1156))))&(((X1161)!=(esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|(((X1159)!=(esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|(~(X1155 @ (esk46_2 @ X1155 @ X1156))|~(X1156 @ (esk47_2 @ X1155 @ X1156))))))&((((X1156 @ (esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|((X1155 @ (esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|((X1155 @ (esk46_2 @ X1155 @ X1156))|(X1156 @ (esk47_2 @ X1155 @ X1156))))&(((X1161)!=(esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|((X1155 @ (esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|((X1155 @ (esk46_2 @ X1155 @ X1156))|(X1156 @ (esk47_2 @ X1155 @ X1156)))))&(((X1156 @ (esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|(((X1159)!=(esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|((X1155 @ (esk46_2 @ X1155 @ X1156))|(X1156 @ (esk47_2 @ X1155 @ X1156))))&(((X1161)!=(esk49_3 @ X1155 @ X1156 @ X1161))|~(X1156 @ X1161)|((descr @ X1155)=(descr @ X1156))|(((X1159)!=(esk48_3 @ X1155 @ X1156 @ X1159))|~(X1155 @ X1159))|((X1155 @ (esk46_2 @ X1155 @ X1156))|(X1156 @ (esk47_2 @ X1155 @ X1156))))))))&((((in @ (esk50_4 @ X1163 @ X1164 @ X1165 @ X1166) @ X1163)|((dsetconstr @ X1163 @ X1165)=(dsetconstr @ X1164 @ X1166))|((X1163)!=(X1164)))&(((in @ (esk51_4 @ X1163 @ X1164 @ X1165 @ X1166) @ X1164)|((dsetconstr @ X1163 @ X1165)=(dsetconstr @ X1164 @ X1166))|((X1163)!=(X1164)))&((((esk50_4 @ X1163 @ X1164 @ X1165 @ X1166)=(esk51_4 @ X1163 @ X1164 @ X1165 @ X1166))|((dsetconstr @ X1163 @ X1165)=(dsetconstr @ X1164 @ X1166))|((X1163)!=(X1164)))&((~(X1165 @ (esk50_4 @ X1163 @ X1164 @ X1165 @ X1166))|~(X1166 @ (esk51_4 @ X1163 @ X1164 @ X1165 @ X1166))|((dsetconstr @ X1163 @ X1165)=(dsetconstr @ X1164 @ X1166))|((X1163)!=(X1164)))&((X1165 @ (esk50_4 @ X1163 @ X1164 @ X1165 @ X1166))|(X1166 @ (esk51_4 @ X1163 @ X1164 @ X1165 @ X1166))|((dsetconstr @ X1163 @ X1165)=(dsetconstr @ X1164 @ X1166))|((X1163)!=(X1164)))))))&((((in @ (esk52_2 @ X1169 @ X1170) @ X1169)|(subset @ X1169 @ X1170))&(~(in @ (esk52_2 @ X1169 @ X1170) @ X1170)|(subset @ X1169 @ X1170)))&((((X1172)!=(X1173))|(subset @ X1173 @ X1172))&((((X1174)!=(X1175))|(subset @ X1174 @ X1175))&((((in @ (esk53_2 @ X1176 @ X1177) @ X1176)|(subset @ X1176 @ X1177))&(~(in @ (esk53_2 @ X1176 @ X1177) @ X1177)|(subset @ X1176 @ X1177)))&((subset @ emptyset @ X1179)&((~(subset @ X1180 @ X1181)|(~(in @ X1182 @ X1180)|(in @ X1182 @ X1181)))&((~(subset @ X1183 @ X1184)|((in @ X1185 @ X1184)|~(in @ X1185 @ X1183)))&((~(in @ X1188 @ X1186)|((in @ X1188 @ X1187)|~(subset @ X1186 @ X1187)))&(((subset @ X1189 @ X1190)|((X1189)!=(X1190)))&((~(in @ X1193 @ X1191)|((in @ X1193 @ X1192)|((X1191)!=(X1192))))&((subset @ X1194 @ X1194)&((~(subset @ X1195 @ X1196)|(~(subset @ X1196 @ X1197)|(subset @ X1195 @ X1197)))&((subset @ X1199 @ (setadjoin @ X1198 @ X1199))&((~(subset @ X1200 @ X1202)|(subset @ X1200 @ (setadjoin @ X1201 @ X1202)))&((~(subset @ X1203 @ X1204)|(in @ X1203 @ (powerset @ X1204)))&((~(subset @ X1205 @ X1206)|(~(subset @ X1206 @ X1205)|((X1205)=(X1206))))&((~(subset @ X1207 @ emptyset)|((X1207)=(emptyset)))&((~(subset @ X1209 @ X1208)|(in @ X1209 @ (powerset @ X1208)))&((~(in @ X1211 @ (powerset @ X1210))|(subset @ X1211 @ X1210))&((in @ X1212 @ (powerset @ X1212))&((~(subset @ X1213 @ X1214)|(subset @ (powerset @ X1213) @ (powerset @ X1214)))&((in @ (dsetconstr @ X1215 @ X1216) @ (powerset @ X1215))&((subset @ (dsetconstr @ X1217 @ X1218) @ X1217)&((~(in @ X1221 @ X1219)|(in @ X1221 @ (binunion @ X1219 @ X1220)))&((in @ X1223 @ (setadjoin @ X1222 @ (setadjoin @ X1223 @ emptyset)))&((~(in @ X1226 @ X1225)|(in @ X1226 @ (binunion @ X1224 @ X1225)))&(((((in @ X1229 @ X1228)|(X1230)|(in @ X1229 @ X1227)|~(in @ X1229 @ (binunion @ X1227 @ X1228)))&(~(X1230)|(X1230)|(in @ X1229 @ X1227)|~(in @ X1229 @ (binunion @ X1227 @ X1228))))&(((in @ X1229 @ X1228)|(X1230)|~(X1230)|~(in @ X1229 @ (binunion @ X1227 @ X1228)))&(~(X1230)|(X1230)|~(X1230)|~(in @ X1229 @ (binunion @ X1227 @ X1228)))))&((~(in @ X1233 @ (binunion @ X1231 @ X1232))|((in @ X1233 @ X1231)|(in @ X1233 @ X1232)))&((subset @ X1234 @ (binunion @ X1234 @ X1235))&((subset @ X1237 @ (binunion @ X1236 @ X1237))&((~(in @ X1240 @ X1238)|(~(in @ X1240 @ X1239)|(in @ X1240 @ (binintersect @ X1238 @ X1239))))&((~(subset @ X1243 @ X1241)|(~(subset @ X1243 @ X1242)|(subset @ X1243 @ (binintersect @ X1241 @ X1242))))&((~(in @ X1246 @ (binintersect @ X1244 @ X1245))|(in @ X1246 @ X1244))&((subset @ (binintersect @ X1247 @ X1248) @ X1247)&((~(subset @ X1249 @ X1250)|((binintersect @ X1249 @ X1250)=(X1249)))&((((binintersect @ X1251 @ X1252)!=(X1252))|(subset @ X1252 @ X1251))&((~(in @ X1255 @ (binintersect @ X1253 @ X1254))|(in @ X1255 @ X1254))&((((in @ (esk54_2 @ X1256 @ X1257) @ X1256)|((binintersect @ X1256 @ X1257)=(emptyset)))&((in @ (esk54_2 @ X1256 @ X1257) @ X1257)|((binintersect @ X1256 @ X1257)=(emptyset))))&((subset @ (binintersect @ X1259 @ X1260) @ X1260)&((~(subset @ X1262 @ X1261)|((binintersect @ X1261 @ X1262)=(X1262)))&((((binintersect @ X1263 @ X1264)!=(X1263))|(subset @ X1263 @ X1264))&(((binintersect @ X1265 @ (binunion @ X1266 @ X1267))=(binunion @ (binintersect @ X1265 @ X1266) @ (binintersect @ X1265 @ X1267)))&((~(in @ X1270 @ X1268)|((in @ X1270 @ X1269)|(in @ X1270 @ (setminus @ X1268 @ X1269))))&((~(in @ X1273 @ (setminus @ X1271 @ X1272))|(in @ X1273 @ X1271))&((~(in @ X1276 @ (setminus @ X1274 @ X1275))|~(in @ X1276 @ X1275))&((~(subset @ X1277 @ X1278)|((setminus @ X1277 @ X1278)=(emptyset)))&(((in @ X1281 @ (setminus @ X1279 @ X1280))|(~(in @ X1281 @ X1279)|(in @ X1281 @ X1280)))&(((in @ X1284 @ (setminus @ X1282 @ X1283))|((in @ X1284 @ X1283)|~(in @ X1284 @ X1282)))&(((in @ X1287 @ X1285)|~(in @ X1287 @ (setminus @ X1285 @ X1286)))&((~(in @ X1290 @ X1289)|~(in @ X1290 @ (setminus @ X1288 @ X1289)))&((subset @ (setminus @ X1291 @ X1292) @ X1291)&((((setminus @ X1293 @ X1294)!=(emptyset))|(subset @ X1293 @ X1294))&((((~(in @ X1297 @ X1295)|(X1298)|(in @ X1297 @ X1295)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(((in @ X1297 @ X1296)|(X1298)|(in @ X1297 @ X1295)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(~(X1298)|(X1298)|(in @ X1297 @ X1295)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))))&(((~(in @ X1297 @ X1295)|(X1298)|~(in @ X1297 @ X1296)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(((in @ X1297 @ X1296)|(X1298)|~(in @ X1297 @ X1296)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(~(X1298)|(X1298)|~(in @ X1297 @ X1296)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))))&((~(in @ X1297 @ X1295)|(X1298)|~(X1298)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(((in @ X1297 @ X1296)|(X1298)|~(X1298)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))&(~(X1298)|(X1298)|~(X1298)|~(in @ X1297 @ (symdiff @ X1295 @ X1296)))))))&((~(in @ X1301 @ X1299)|((in @ X1301 @ X1300)|(in @ X1301 @ (symdiff @ X1299 @ X1300))))&(((in @ X1304 @ X1302)|(~(in @ X1304 @ X1303)|(in @ X1304 @ (symdiff @ X1302 @ X1303))))&((~(in @ X1307 @ X1305)|(~(in @ X1307 @ X1306)|~(in @ X1307 @ (symdiff @ X1305 @ X1306))))&(((in @ X1310 @ X1308)|((in @ X1310 @ X1309)|~(in @ X1310 @ (symdiff @ X1308 @ X1309))))&((in @ X1312 @ (setadjoin @ X1311 @ (setadjoin @ X1312 @ emptyset)))&((in @ X1313 @ (setunion @ (setadjoin @ (setadjoin @ X1313 @ emptyset) @ (setadjoin @ (setadjoin @ X1313 @ (setadjoin @ X1314 @ emptyset)) @ emptyset))))&((in @ X1316 @ (setunion @ (setadjoin @ (setadjoin @ X1315 @ emptyset) @ (setadjoin @ (setadjoin @ X1315 @ (setadjoin @ X1316 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1317 @ X1318) @ (setunion @ (setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1317 @ X1318) @ (setunion @ (setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1317 @ X1318) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1317 @ X1318) @ (setadjoin @ (esk56_2 @ X1317 @ X1318) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1321 @ X1322) @ (setunion @ (kpair @ X1321 @ X1322)))&((in @ (esk58_2 @ X1321 @ X1322) @ (setunion @ (kpair @ X1321 @ X1322)))&((kpair @ X1321 @ X1322)=(setadjoin @ (setadjoin @ (esk57_2 @ X1321 @ X1322) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1321 @ X1322) @ (setadjoin @ (esk58_2 @ X1321 @ X1322) @ emptyset)) @ emptyset)))))&((~(in @ X1326 @ X1325)|(subset @ (setadjoin @ X1326 @ emptyset) @ X1325))&((~(in @ X1328 @ X1327)|(in @ (setadjoin @ X1328 @ emptyset) @ (powerset @ X1327)))&((~(in @ X1331 @ X1329)|(in @ (setadjoin @ X1331 @ emptyset) @ (powerset @ (binunion @ X1329 @ X1330))))&((~(in @ X1334 @ (setadjoin @ X1332 @ (setadjoin @ X1333 @ emptyset)))|(((X1334)=(X1332))|((X1334)=(X1333))))&((~(in @ X1337 @ X1335)|(~(in @ X1338 @ X1336)|(subset @ (setadjoin @ X1337 @ (setadjoin @ X1338 @ emptyset)) @ (binunion @ X1335 @ X1336))))&((~(in @ X1341 @ X1339)|(~(in @ X1342 @ X1340)|(in @ (setadjoin @ X1341 @ (setadjoin @ X1342 @ emptyset)) @ (powerset @ (binunion @ X1339 @ X1340)))))&((~(in @ X1345 @ X1343)|(~(in @ X1346 @ X1344)|(subset @ (setadjoin @ (setadjoin @ X1345 @ emptyset) @ (setadjoin @ (setadjoin @ X1345 @ (setadjoin @ X1346 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1343 @ X1344)))))&((~(in @ X1349 @ X1347)|(~(in @ X1350 @ X1348)|(in @ (setadjoin @ (setadjoin @ X1349 @ emptyset) @ (setadjoin @ (setadjoin @ X1349 @ (setadjoin @ X1350 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1347 @ X1348))))))&((~(in @ X1353 @ X1351)|(~(in @ X1354 @ X1352)|(in @ (kpair @ X1353 @ X1354) @ (powerset @ (powerset @ (binunion @ X1351 @ X1352))))))&((~(in @ X1357 @ X1355)|(~(in @ X1358 @ X1356)|(in @ (kpair @ X1357 @ X1358) @ (cartprod @ X1355 @ X1356))))&((((in @ (esk59_3 @ X1359 @ X1360 @ X1361) @ X1359)|~(in @ X1361 @ (cartprod @ X1359 @ X1360)))&(((in @ (esk60_3 @ X1359 @ X1360 @ X1361) @ X1360)|~(in @ X1361 @ (cartprod @ X1359 @ X1360)))&(((X1361)=(kpair @ (esk59_3 @ X1359 @ X1360 @ X1361) @ (esk60_3 @ X1359 @ X1360 @ X1361)))|~(in @ X1361 @ (cartprod @ X1359 @ X1360)))))&((((in @ (esk61_3 @ X1364 @ X1365 @ X1366) @ (setunion @ X1366))|~(in @ X1366 @ (cartprod @ X1364 @ X1365)))&(((in @ (esk62_3 @ X1364 @ X1365 @ X1366) @ (setunion @ X1366))|~(in @ X1366 @ (cartprod @ X1364 @ X1365)))&(((X1366)=(setadjoin @ (setadjoin @ (esk61_3 @ X1364 @ X1365 @ X1366) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1364 @ X1365 @ X1366) @ (setadjoin @ (esk62_3 @ X1364 @ X1365 @ X1366) @ emptyset)) @ emptyset)))|~(in @ X1366 @ (cartprod @ X1364 @ X1365)))))&((((in @ (esk63_2 @ X1369 @ X1370) @ X1369)|~(in @ X1370 @ (setunion @ X1369)))&((in @ X1370 @ (esk63_2 @ X1369 @ X1370))|~(in @ X1370 @ (setunion @ X1369))))&((subset @ (setunion @ (setadjoin @ X1372 @ emptyset)) @ X1372)&((subset @ X1373 @ (setunion @ (setadjoin @ X1373 @ emptyset)))&(((setunion @ (setadjoin @ X1374 @ emptyset))=(X1374))&(((((in @ (esk66_2 @ X1375 @ X1376) @ (dsetconstr @ X1375 @ X1376))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(in @ (esk64_2 @ X1375 @ X1376) @ X1375))&(((dsetconstr @ X1375 @ X1376)=(setadjoin @ (esk66_2 @ X1375 @ X1376) @ emptyset))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(in @ (esk64_2 @ X1375 @ X1376) @ X1375)))&((((in @ (esk66_2 @ X1375 @ X1376) @ (dsetconstr @ X1375 @ X1376))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(in @ (esk65_2 @ X1375 @ X1376) @ X1375))&(((dsetconstr @ X1375 @ X1376)=(setadjoin @ (esk66_2 @ X1375 @ X1376) @ emptyset))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(in @ (esk65_2 @ X1375 @ X1376) @ X1375)))&((((in @ (esk66_2 @ X1375 @ X1376) @ (dsetconstr @ X1375 @ X1376))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(X1376 @ (esk64_2 @ X1375 @ X1376)))&(((dsetconstr @ X1375 @ X1376)=(setadjoin @ (esk66_2 @ X1375 @ X1376) @ emptyset))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(X1376 @ (esk64_2 @ X1375 @ X1376))))&((((in @ (esk66_2 @ X1375 @ X1376) @ (dsetconstr @ X1375 @ X1376))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(X1376 @ (esk65_2 @ X1375 @ X1376)))&(((dsetconstr @ X1375 @ X1376)=(setadjoin @ (esk66_2 @ X1375 @ X1376) @ emptyset))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|(X1376 @ (esk65_2 @ X1375 @ X1376))))&(((in @ (esk66_2 @ X1375 @ X1376) @ (dsetconstr @ X1375 @ X1376))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|((esk64_2 @ X1375 @ X1376)!=(esk65_2 @ X1375 @ X1376)))&(((dsetconstr @ X1375 @ X1376)=(setadjoin @ (esk66_2 @ X1375 @ X1376) @ emptyset))|(~(in @ X1379 @ X1375)|~(X1376 @ X1379))|((esk64_2 @ X1375 @ X1376)!=(esk65_2 @ X1375 @ X1376))))))))&(((in @ esk68_0 @ (dsetconstr @ esk67_0 @ epred2_0))&((dsetconstr @ esk67_0 @ epred2_0)=(setadjoin @ esk68_0 @ emptyset)))&(~(in @ X1384 @ esk67_0)|~(epred2_0 @ X1384)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_211])])])])])])])).
% 0.19/0.36 thf(c_0_213, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk9_1 @ X2) @ X2)|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_214, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_215, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ X2 @ X3)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_216, negated_conjecture, ((dsetconstr @ esk67_0 @ epred2_0)=(setadjoin @ esk68_0 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_217, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_218, negated_conjecture, ![X2:$i, X3:$i]:((in @ (esk9_1 @ (setadjoin @ X2 @ X3)) @ (setadjoin @ X2 @ X3))), inference(spm,[status(thm)],[c_0_213, c_0_214])).
% 0.19/0.36 thf(c_0_219, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_220, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk67_0)|~((in @ X2 @ (setadjoin @ esk68_0 @ emptyset))))), inference(spm,[status(thm)],[c_0_215, c_0_216])).
% 0.19/0.36 thf(c_0_221, negated_conjecture, ![X2:$i]:(((esk9_1 @ (setadjoin @ X2 @ emptyset))=(X2))), inference(spm,[status(thm)],[c_0_217, c_0_218])).
% 0.19/0.36 thf(c_0_222, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ (setadjoin @ esk68_0 @ emptyset))))), inference(spm,[status(thm)],[c_0_219, c_0_216])).
% 0.19/0.36 thf(c_0_223, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk67_0))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_212])).
% 0.19/0.36 thf(c_0_224, negated_conjecture, (in @ esk68_0 @ esk67_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220, c_0_218]), c_0_221])).
% 0.19/0.36 thf(c_0_225, negated_conjecture, (epred2_0 @ esk68_0), inference(spm,[status(thm)],[c_0_222, c_0_214])).
% 0.19/0.36 thf(c_0_226, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223, c_0_224]), c_0_225])]), ['proof']).
% 0.19/0.36 % SZS output end CNFRefutation
% 0.19/0.36 % Parsed axioms : 340
% 0.19/0.36 % Removed by relevancy pruning/SinE : 0
% 0.19/0.36 % Initial clauses : 479
% 0.19/0.36 % Removed in clause preprocessing : 204
% 0.19/0.36 % Initial clauses in saturation : 275
% 0.19/0.36 % Processed clauses : 156
% 0.19/0.36 % ...of these trivial : 9
% 0.19/0.36 % ...subsumed : 37
% 0.19/0.36 % ...remaining for further processing : 110
% 0.19/0.36 % Other redundant clauses eliminated : 10
% 0.19/0.36 % Clauses deleted for lack of memory : 0
% 0.19/0.36 % Backward-subsumed : 0
% 0.19/0.36 % Backward-rewritten : 4
% 0.19/0.36 % Generated clauses : 393
% 0.19/0.36 % ...of the previous two non-redundant : 320
% 0.19/0.36 % ...aggressively subsumed : 0
% 0.19/0.36 % Contextual simplify-reflections : 0
% 0.19/0.36 % Paramodulations : 383
% 0.19/0.36 % Factorizations : 0
% 0.19/0.36 % NegExts : 0
% 0.19/0.36 % Equation resolutions : 10
% 0.19/0.36 % Disequality decompositions : 0
% 0.19/0.36 % Total rewrite steps : 82
% 0.19/0.36 % ...of those cached : 46
% 0.19/0.36 % Propositional unsat checks : 0
% 0.19/0.36 % Propositional check models : 0
% 0.19/0.36 % Propositional check unsatisfiable : 0
% 0.19/0.36 % Propositional clauses : 0
% 0.19/0.36 % Propositional clauses after purity: 0
% 0.19/0.36 % Propositional unsat core size : 0
% 0.19/0.36 % Propositional preprocessing time : 0.000
% 0.19/0.36 % Propositional encoding time : 0.000
% 0.19/0.36 % Propositional solver time : 0.000
% 0.19/0.36 % Success case prop preproc time : 0.000
% 0.19/0.36 % Success case prop encoding time : 0.000
% 0.19/0.36 % Success case prop solver time : 0.000
% 0.19/0.36 % Current number of processed clauses : 100
% 0.19/0.36 % Positive orientable unit clauses : 40
% 0.19/0.36 % Positive unorientable unit clauses: 0
% 0.19/0.36 % Negative unit clauses : 1
% 0.19/0.36 % Non-unit-clauses : 59
% 0.19/0.36 % Current number of unprocessed clauses: 434
% 0.19/0.36 % ...number of literals in the above : 1244
% 0.19/0.36 % Current number of archived formulas : 0
% 0.19/0.36 % Current number of archived clauses : 4
% 0.19/0.36 % Clause-clause subsumption calls (NU) : 353
% 0.19/0.36 % Rec. Clause-clause subsumption calls : 278
% 0.19/0.36 % Non-unit clause-clause subsumptions : 23
% 0.19/0.36 % Unit Clause-clause subsumption calls : 63
% 0.19/0.36 % Rewrite failures with RHS unbound : 0
% 0.19/0.36 % BW rewrite match attempts : 8
% 0.19/0.36 % BW rewrite match successes : 4
% 0.19/0.36 % Condensation attempts : 0
% 0.19/0.36 % Condensation successes : 0
% 0.19/0.36 % Termbank termtop insertions : 44461
% 0.19/0.36 % Search garbage collected termcells : 15357
% 0.19/0.36
% 0.19/0.36 % -------------------------------------------------
% 0.19/0.36 % User time : 0.045 s
% 0.19/0.36 % System time : 0.009 s
% 0.19/0.36 % Total time : 0.054 s
% 0.19/0.36 % Maximum resident set size: 7048 pages
% 0.19/0.36
% 0.19/0.36 % -------------------------------------------------
% 0.19/0.36 % User time : 0.052 s
% 0.19/0.36 % System time : 0.016 s
% 0.19/0.36 % Total time : 0.068 s
% 0.19/0.36 % Maximum resident set size: 5120 pages
% 0.19/0.36 % E exiting
%------------------------------------------------------------------------------