%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU572^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:24:33 AM UTC 2026
% Result : Theorem 0.19s 0.32s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU572^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:53:26 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.19/0.26 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p
% 0.19/0.32 % Version: 3.5.1-ho
% 0.19/0.32 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.19/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.32 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.19/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.32 % Starting almost_fo_3 with 300s (1) cores
% 0.19/0.32 % Starting new_ho_13 with 300s (1) cores
% 0.19/0.32 % ehoh_best3_rw with pid 107354 completed with status 0
% 0.19/0.32 % Result found by ehoh_best3_rw
% 0.19/0.32 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.19/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.32 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.19/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.19/0.32 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.19/0.32 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.19/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.32 % SubtermCWHack with pid 107367 completed with status 0
% 0.19/0.32 % Result found by SubtermCWHack
% 0.19/0.32 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.19/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.32 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.19/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.19/0.32 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.19/0.32 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.19/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.32 % Preprocessing time : 0.003 s
% 0.19/0.32
% 0.19/0.32 % Proof found!
% 0.19/0.32 % SZS status Theorem
% 0.19/0.32 % SZS output start CNFRefutation
% 0.19/0.32 thf(decl_23, type, in: $i > $i > $o).
% 0.19/0.32 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.19/0.32 thf(decl_25, type, setextAx: $o).
% 0.19/0.32 thf(decl_26, type, emptyset: $i).
% 0.19/0.32 thf(decl_27, type, emptysetAx: $o).
% 0.19/0.32 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.19/0.32 thf(decl_29, type, setadjoinAx: $o).
% 0.19/0.32 thf(decl_30, type, powerset: $i > $i).
% 0.19/0.32 thf(decl_31, type, powersetAx: $o).
% 0.19/0.32 thf(decl_32, type, setunion: $i > $i).
% 0.19/0.32 thf(decl_33, type, setunionAx: $o).
% 0.19/0.32 thf(decl_34, type, omega: $i).
% 0.19/0.32 thf(decl_35, type, omega0Ax: $o).
% 0.19/0.32 thf(decl_36, type, omegaSAx: $o).
% 0.19/0.32 thf(decl_37, type, omegaIndAx: $o).
% 0.19/0.32 thf(decl_38, type, replAx: $o).
% 0.19/0.32 thf(decl_39, type, foundationAx: $o).
% 0.19/0.32 thf(decl_40, type, wellorderingAx: $o).
% 0.19/0.32 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.19/0.32 thf(decl_42, type, descrp: $o).
% 0.19/0.32 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_44, type, dsetconstrI: $o).
% 0.19/0.32 thf(decl_45, type, dsetconstrEL: $o).
% 0.19/0.32 thf(decl_46, type, dsetconstrER: $o).
% 0.19/0.32 thf(decl_47, type, exuE1: $o).
% 0.19/0.32 thf(decl_48, type, prop2set: $o > $i).
% 0.19/0.32 thf(decl_49, type, prop2setE: $o).
% 0.19/0.32 thf(decl_50, type, emptysetE: $o).
% 0.19/0.32 thf(decl_51, type, emptysetimpfalse: $o).
% 0.19/0.32 thf(decl_52, type, notinemptyset: $o).
% 0.19/0.32 thf(decl_53, type, exuE3e: $o).
% 0.19/0.32 thf(decl_54, type, setext: $o).
% 0.19/0.32 thf(decl_55, type, emptyI: $o).
% 0.19/0.32 thf(decl_56, type, noeltsimpempty: $o).
% 0.19/0.32 thf(decl_57, type, setbeta: $o).
% 0.19/0.32 thf(decl_58, type, nonempty: $i > $o).
% 0.19/0.32 thf(decl_59, type, nonemptyE1: $o).
% 0.19/0.32 thf(decl_60, type, nonemptyI: $o).
% 0.19/0.32 thf(decl_61, type, nonemptyI1: $o).
% 0.19/0.32 thf(decl_62, type, setadjoinIL: $o).
% 0.19/0.32 thf(decl_63, type, emptyinunitempty: $o).
% 0.19/0.32 thf(decl_64, type, setadjoinIR: $o).
% 0.19/0.32 thf(decl_65, type, setadjoinE: $o).
% 0.19/0.32 thf(decl_66, type, setadjoinOr: $o).
% 0.19/0.32 thf(decl_67, type, setoftrueEq: $o).
% 0.19/0.32 thf(decl_68, type, powersetI: $o).
% 0.19/0.32 thf(decl_69, type, emptyinPowerset: $o).
% 0.19/0.32 thf(decl_70, type, emptyInPowerset: $o).
% 0.19/0.32 thf(decl_71, type, powersetE: $o).
% 0.19/0.32 thf(decl_72, type, setunionI: $o).
% 0.19/0.32 thf(decl_73, type, setunionE: $o).
% 0.19/0.32 thf(decl_74, type, subPowSU: $o).
% 0.19/0.32 thf(decl_75, type, exuE2: $o).
% 0.19/0.32 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.19/0.32 thf(decl_77, type, uniqinunit: $o).
% 0.19/0.32 thf(decl_78, type, notinsingleton: $o).
% 0.19/0.32 thf(decl_79, type, eqinunit: $o).
% 0.19/0.32 thf(decl_80, type, singletonsswitch: $o).
% 0.19/0.32 thf(decl_81, type, upairsetE: $o).
% 0.19/0.32 thf(decl_82, type, upairsetIL: $o).
% 0.19/0.32 thf(decl_83, type, upairsetIR: $o).
% 0.19/0.32 thf(decl_84, type, emptyE1: $o).
% 0.19/0.32 thf(decl_85, type, vacuousDall: $o).
% 0.19/0.32 thf(decl_86, type, quantDeMorgan1: $o).
% 0.19/0.32 thf(decl_87, type, quantDeMorgan2: $o).
% 0.19/0.32 thf(decl_88, type, quantDeMorgan3: $o).
% 0.19/0.32 thf(decl_89, type, quantDeMorgan4: $o).
% 0.19/0.32 thf(decl_90, type, prop2setI: $o).
% 0.19/0.32 thf(decl_92, type, prop2set2propI: $o).
% 0.19/0.32 thf(decl_93, type, notdexE: $o).
% 0.19/0.32 thf(decl_94, type, notdallE: $o).
% 0.19/0.32 thf(decl_95, type, exuI1: $o).
% 0.19/0.32 thf(decl_96, type, exuI3: $o).
% 0.19/0.32 thf(decl_97, type, exuI2: $o).
% 0.19/0.32 thf(decl_98, type, inCongP: $o).
% 0.19/0.32 thf(decl_99, type, in__Cong: $o).
% 0.19/0.32 thf(decl_100, type, exuE3u: $o).
% 0.19/0.32 thf(decl_101, type, exu__Cong: $o).
% 0.19/0.32 thf(decl_102, type, emptyset__Cong: $o).
% 0.19/0.32 thf(decl_103, type, setadjoin__Cong: $o).
% 0.19/0.32 thf(decl_104, type, powerset__Cong: $o).
% 0.19/0.32 thf(decl_105, type, setunion__Cong: $o).
% 0.19/0.32 thf(decl_106, type, omega__Cong: $o).
% 0.19/0.32 thf(decl_107, type, exuEu: $o).
% 0.19/0.32 thf(decl_108, type, descr__Cong: $o).
% 0.19/0.32 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.19/0.32 thf(decl_110, type, subset: $i > $i > $o).
% 0.19/0.32 thf(decl_113, type, subsetI1: $o).
% 0.19/0.32 thf(decl_114, type, eqimpsubset2: $o).
% 0.19/0.32 thf(decl_115, type, eqimpsubset1: $o).
% 0.19/0.32 thf(decl_116, type, subsetI2: $o).
% 0.19/0.32 thf(decl_117, type, emptysetsubset: $o).
% 0.19/0.32 thf(decl_118, type, subsetE: $o).
% 0.19/0.32 thf(decl_119, type, subsetE2: $o).
% 0.19/0.32 thf(decl_120, type, notsubsetI: $o).
% 0.19/0.32 thf(decl_121, type, notequalI1: $o).
% 0.19/0.32 thf(decl_122, type, notequalI2: $o).
% 0.19/0.32 thf(decl_123, type, subsetRefl: $o).
% 0.19/0.32 thf(decl_124, type, subsetTrans: $o).
% 0.19/0.32 thf(decl_125, type, setadjoinSub: $o).
% 0.19/0.32 thf(decl_126, type, epred1_0: $o).
% 0.19/0.32 thf(decl_127, type, esk1_2: $i > $i > $i).
% 0.19/0.32 thf(decl_128, type, esk2_2: $i > $i > $i).
% 0.19/0.32 thf(decl_129, type, esk3_2: $i > $i > $i).
% 0.19/0.32 thf(decl_130, type, esk4_1: $i > $i).
% 0.19/0.32 thf(decl_131, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.19/0.32 thf(decl_132, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.19/0.32 thf(decl_133, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.19/0.32 thf(decl_134, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.19/0.32 thf(decl_135, type, esk9_1: $i > $i).
% 0.19/0.32 thf(decl_136, type, esk10_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_137, type, esk11_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_138, type, esk12_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_139, type, esk13_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_140, type, esk14_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_141, type, esk15_2: $i > $i > $i).
% 0.19/0.32 thf(decl_142, type, esk16_2: $i > $i > $i).
% 0.19/0.32 thf(decl_143, type, esk17_1: $i > $i).
% 0.19/0.32 thf(decl_144, type, esk18_1: $i > $i).
% 0.19/0.32 thf(decl_145, type, esk19_1: $i > $i).
% 0.19/0.32 thf(decl_146, type, esk20_2: $i > $i > $i).
% 0.19/0.32 thf(decl_147, type, esk21_3: $i > $i > $o > $i).
% 0.19/0.32 thf(decl_148, type, esk22_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_149, type, esk23_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_150, type, esk24_1: $i > $i).
% 0.19/0.32 thf(decl_151, type, esk25_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_152, type, esk26_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_153, type, esk27_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_154, type, esk28_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_155, type, esk29_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_156, type, esk30_2: $i > ($i > $o) > $i).
% 0.19/0.32 thf(decl_157, type, esk31_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_158, type, esk32_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_159, type, esk33_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_160, type, esk34_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_161, type, esk35_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_162, type, esk36_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_163, type, esk37_1: ($i > $o) > $i).
% 0.19/0.32 thf(decl_164, type, esk38_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_165, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_166, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_167, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_168, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_169, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_170, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_171, type, esk45_2: ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_172, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_173, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_174, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_175, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.19/0.32 thf(decl_176, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_177, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.19/0.32 thf(decl_178, type, esk52_2: $i > $i > $i).
% 0.19/0.32 thf(decl_179, type, esk53_2: $i > $i > $i).
% 0.19/0.32 thf(decl_180, type, esk54_0: $i).
% 0.19/0.32 thf(decl_181, type, esk55_0: $i).
% 0.19/0.32 thf(decl_182, type, esk56_0: $i).
% 0.19/0.32 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', descr__Cong)).
% 0.19/0.32 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exu)).
% 0.19/0.32 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuE1)).
% 0.19/0.32 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', nonempty)).
% 0.19/0.32 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuE3e)).
% 0.19/0.32 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', nonemptyI)).
% 0.19/0.32 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuE2)).
% 0.19/0.32 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exu__Cong)).
% 0.19/0.32 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuE3u)).
% 0.19/0.32 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuI2)).
% 0.19/0.32 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuI3)).
% 0.19/0.32 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuI1)).
% 0.19/0.32 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', exuEu)).
% 0.19/0.32 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', descrp)).
% 0.19/0.32 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', replAx)).
% 0.19/0.32 thf(setadjoinSub2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinSub2)).
% 0.19/0.32 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', dsetconstr__Cong)).
% 0.19/0.32 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', nonemptyE1)).
% 0.19/0.32 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setbeta)).
% 0.19/0.32 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setoftrueEq)).
% 0.19/0.32 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', nonemptyI1)).
% 0.19/0.32 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', nonemptyImpWitness)).
% 0.19/0.32 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyE1)).
% 0.19/0.32 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', dsetconstrER)).
% 0.19/0.32 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', dsetconstrEL)).
% 0.19/0.32 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', dsetconstrI)).
% 0.19/0.32 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoin__Cong)).
% 0.19/0.32 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', powerset__Cong)).
% 0.19/0.32 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setunion__Cong)).
% 0.19/0.32 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetI1)).
% 0.19/0.32 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptysetE)).
% 0.19/0.32 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', eqimpsubset2)).
% 0.19/0.32 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', prop2setE)).
% 0.19/0.32 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', eqimpsubset1)).
% 0.19/0.32 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetI2)).
% 0.19/0.32 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptysetimpfalse)).
% 0.19/0.32 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptysetsubset)).
% 0.19/0.32 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetE)).
% 0.19/0.32 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetE2)).
% 0.19/0.32 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notsubsetI)).
% 0.19/0.32 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notequalI1)).
% 0.19/0.32 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notequalI2)).
% 0.19/0.32 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetRefl)).
% 0.19/0.32 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subsetTrans)).
% 0.19/0.32 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinSub)).
% 0.19/0.32 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', noeltsimpempty)).
% 0.19/0.32 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyI)).
% 0.19/0.32 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setext)).
% 0.19/0.32 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notinemptyset)).
% 0.19/0.32 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinOr)).
% 0.19/0.32 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinE)).
% 0.19/0.32 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinIR)).
% 0.19/0.32 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyinunitempty)).
% 0.19/0.32 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinIL)).
% 0.19/0.32 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', powersetI)).
% 0.19/0.32 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', subPowSU)).
% 0.19/0.32 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setunionE)).
% 0.19/0.32 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setunionI)).
% 0.19/0.32 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', powersetE)).
% 0.19/0.32 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyInPowerset)).
% 0.19/0.32 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyinPowerset)).
% 0.19/0.32 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', upairsetIR)).
% 0.19/0.32 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', upairsetIL)).
% 0.19/0.32 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', upairsetE)).
% 0.19/0.32 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', singletonsswitch)).
% 0.19/0.32 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', eqinunit)).
% 0.19/0.32 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notinsingleton)).
% 0.19/0.32 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', uniqinunit)).
% 0.19/0.32 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notdexE)).
% 0.19/0.32 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', prop2setI)).
% 0.19/0.32 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', quantDeMorgan4)).
% 0.19/0.32 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', quantDeMorgan3)).
% 0.19/0.32 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', quantDeMorgan2)).
% 0.19/0.32 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', quantDeMorgan1)).
% 0.19/0.32 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', vacuousDall)).
% 0.19/0.32 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', notdallE)).
% 0.19/0.32 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', in__Cong)).
% 0.19/0.32 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', inCongP)).
% 0.19/0.32 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', omega__Cong)).
% 0.19/0.32 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptyset__Cong)).
% 0.19/0.32 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', wellorderingAx)).
% 0.19/0.32 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', foundationAx)).
% 0.19/0.32 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', omegaIndAx)).
% 0.19/0.32 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', omegaSAx)).
% 0.19/0.32 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', omega0Ax)).
% 0.19/0.32 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setunionAx)).
% 0.19/0.32 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', powersetAx)).
% 0.19/0.32 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setadjoinAx)).
% 0.19/0.32 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', emptysetAx)).
% 0.19/0.32 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.4jpr8mRf4r/E---3.1_107320.p', setextAx)).
% 0.19/0.32 thf(c_0_90, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.19/0.32 thf(c_0_91, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.19/0.32 thf(c_0_92, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.19/0.32 thf(c_0_93, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.19/0.32 thf(c_0_94, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.19/0.32 thf(c_0_95, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.19/0.32 thf(c_0_96, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.19/0.32 thf(c_0_97, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.19/0.32 thf(c_0_98, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.19/0.32 thf(c_0_99, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.19/0.32 thf(c_0_100, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.19/0.32 thf(c_0_101, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.19/0.32 thf(c_0_102, 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])).
% 0.19/0.32 thf(c_0_103, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.19/0.32 thf(c_0_104, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.19/0.32 thf(c_0_105, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoinSub2])).
% 0.19/0.32 thf(c_0_106, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X288:$i]:(((((X1 @ X288)))&(![X289:$i]:(((((X1 @ X289)))=>(((X288)=(X289))))))))))=>((((?[X290:$i]:(((((X17 @ X290)))&(![X291:$i]:(((((X17 @ X291)))=>(((X290)=(X291))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_91])).
% 0.19/0.32 thf(c_0_107, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.19/0.32 thf(c_0_108, plain, ((exuE1)=(![X1:$i > $o]:((((?[X268:$i]:(((((X1 @ X268)))&(![X269:$i]:(((((X1 @ X269)))=>(((X268)=(X269))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_91])).
% 0.19/0.32 thf(c_0_109, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_93])).
% 0.19/0.32 thf(c_0_110, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.19/0.32 thf(c_0_111, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X270:$i]:(((((X1 @ X270)))&(![X271:$i]:(((((X1 @ X271)))=>(((X270)=(X271))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_91])).
% 0.19/0.32 thf(c_0_112, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_93])).
% 0.19/0.32 thf(c_0_113, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.19/0.32 thf(c_0_114, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_93])).
% 0.19/0.32 thf(c_0_115, plain, ((exuE2)=(![X1:$i > $o]:((((?[X272:$i]:(((((X1 @ X272)))&(![X273:$i]:(((((X1 @ X273)))=>(((X272)=(X273))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_91])).
% 0.19/0.32 thf(c_0_116, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_93])).
% 0.19/0.32 thf(c_0_117, 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])).
% 0.19/0.32 thf(c_0_118, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X282:$i]:(((((X1 @ X282)))&(![X283:$i]:(((((X1 @ X283)))=>(((X282)=(X283))))))))))<=>((?[X284:$i]:(((((X17 @ X284)))&(![X285:$i]:(((((X17 @ X285)))=>(((X284)=(X285)))))))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_91])).
% 0.19/0.32 thf(c_0_119, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X280:$i]:(((((X1 @ X280)))&(![X281:$i]:(((((X1 @ X281)))=>(((X280)=(X281))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_91])).
% 0.19/0.32 thf(c_0_120, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X278:$i]:(((((X1 @ X278)))&(![X279:$i]:(((((X1 @ X279)))=>(((X278)=(X279)))))))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_91])).
% 0.19/0.32 thf(c_0_121, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X276:$i]:(((((X1 @ X276)))&(![X277:$i]:(((((X1 @ X277)))=>(((X276)=(X277)))))))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_91])).
% 0.19/0.32 thf(c_0_122, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X274:$i]:(((((X1 @ X274)))&(![X275:$i]:(((((X1 @ X275)))=>(((X274)=(X275)))))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_91])).
% 0.19/0.32 thf(c_0_123, plain, ((exuEu)=(![X1:$i > $o]:((((?[X286:$i]:(((((X1 @ X286)))&(![X287:$i]:(((((X1 @ X287)))=>(((X286)=(X287))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_91])).
% 0.19/0.32 thf(c_0_124, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.19/0.32 thf(c_0_125, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.19/0.32 thf(c_0_126, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.19/0.32 thf(c_0_127, plain, ((descrp)=(![X1:$i > $o]:((((?[X266:$i]:(((((X1 @ X266)))&(![X267:$i]:(((((X1 @ X267)))=>(((X266)=(X267))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_91])).
% 0.19/0.32 thf(c_0_128, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X264:$i]:(((((X6 @ X2 @ X264)))&(![X265:$i]:(((((X6 @ X2 @ X265)))=>(((X264)=(X265)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_91])).
% 0.19/0.32 thf(c_0_129, plain, ((epred1_0)<=>![X321:$i]:(?[X322:$i]:((((![X323:$i]:(((in @ X323 @ X322)=>![X324:$i]:(((in @ X324 @ X323)=>(in @ X324 @ X321)))))&![X325:$i, X326:$i]:((((in @ X325 @ X321)&(in @ X326 @ X321))=>(![X327:$i]:(((in @ X327 @ X322)=>((in @ X325 @ X327)<=>(in @ X326 @ X327))))=>((X325)=(X326))))))&![X328:$i, X329:$i]:((((in @ X328 @ X322)&(in @ X329 @ X322))=>(![X330:$i]:(((in @ X330 @ X328)=>(in @ X330 @ X329)))|![X331:$i]:(((in @ X331 @ X329)=>(in @ X331 @ X328)))))))&![X332:$i]:(((![X333:$i]:(((in @ X333 @ X332)=>(in @ X333 @ X321)))&?[X334:$i]:((in @ X334 @ X332)))=>?[X335:$i, X336:$i]:(((((in @ X335 @ X322)&(in @ X336 @ X332))&~(?[X337:$i]:(((in @ X337 @ X335)&(in @ X337 @ X332)))))&![X338:$i]:(((in @ X338 @ X322)=>(![X339:$i]:(((in @ X339 @ X338)=>(in @ X339 @ X335)))|(in @ X336 @ X338)))))))))))), introduced(definition)).
% 0.19/0.32 thf(c_0_130, negated_conjecture, ~((![X292:$i, X293:$i]:((![X294:$i]:(((in @ X294 @ X292)<=>(in @ X294 @ X293)))=>((X292)=(X293))))=>(![X295:$i]:(~(in @ X295 @ emptyset))=>(![X296:$i, X297:$i, X298:$i]:(((in @ X298 @ (setadjoin @ X296 @ X297))<=>(((X298)=(X296))|(in @ X298 @ X297))))=>(![X299:$i, X300:$i]:(((in @ X300 @ (powerset @ X299))<=>![X301:$i]:(((in @ X301 @ X300)=>(in @ X301 @ X299)))))=>(![X302:$i, X303:$i]:(((in @ X303 @ (setunion @ X302))<=>?[X304:$i]:(((in @ X303 @ X304)&(in @ X304 @ X302)))))=>((in @ emptyset @ omega)=>(![X305:$i]:(((in @ X305 @ omega)=>(in @ (setadjoin @ X305 @ X305) @ omega)))=>(![X306:$i]:((((in @ emptyset @ X306)&![X307:$i]:((((in @ X307 @ omega)&(in @ X307 @ X306))=>(in @ (setadjoin @ X307 @ X307) @ X306))))=>![X308:$i]:(((in @ X308 @ omega)=>(in @ X308 @ X306)))))=>(![X309:$i > $i > $o, X310:$i]:((![X311:$i]:(((in @ X311 @ X310)=>?[X312:$i]:(((X309 @ X311 @ X312)&![X313:$i]:(((X309 @ X311 @ X313)=>((X312)=(X313))))))))=>?[X314:$i]:(![X315:$i]:(((in @ X315 @ X314)<=>?[X316:$i]:(((in @ X316 @ X310)&(X309 @ X316 @ X315))))))))=>(![X317:$i]:((?[X318:$i]:((in @ X318 @ X317))=>?[X319:$i]:(((in @ X319 @ X317)&~(?[X320:$i]:(((in @ X320 @ X319)&(in @ X320 @ X317))))))))=>((epred1_0)=>(![X340:$i > $o]:((?[X341:$i]:(((X340 @ X341)&![X342:$i]:(((X340 @ X342)=>((X341)=(X342))))))=>(X340 @ (descr @ (^[Z0:$i]:(X340 @ Z0))))))=>(![X343:$i, X344:$i > $o, X345:$i]:(((in @ X345 @ X343)=>((X344 @ X345)=>(in @ X345 @ (dsetconstr @ X343 @ X344)))))=>(![X346:$i, X347:$i > $o, X348:$i]:(((in @ X348 @ (dsetconstr @ X346 @ X347))=>(in @ X348 @ X346)))=>(![X349:$i, X350:$i > $o, X351:$i]:(((in @ X351 @ (dsetconstr @ X349 @ X350))=>(X350 @ X351)))=>(![X352:$i > $o]:((?[X353:$i]:(((X352 @ X353)&![X354:$i]:(((X352 @ X354)=>((X353)=(X354))))))=>?[X355:$i]:(((X352 @ X355)&![X356:$i]:(((X352 @ X356)=>((X355)=(X356))))))))=>(![X357:$o, X358:$i]:(((in @ X358 @ (prop2set @ ((X357))))=>(X357)))=>(![X359:$i]:(((in @ X359 @ emptyset)=>![X360:$o]:((X360))))=>(![X361:$i]:(((in @ X361 @ emptyset)=>~($true)))=>(![X362:$i]:(~(in @ X362 @ emptyset))=>(![X363:$i > $o]:((?[X364:$i]:(((X363 @ X364)&![X365:$i]:(((X363 @ X365)=>((X364)=(X365))))))=>?[X366:$i]:((X363 @ X366))))=>(![X367:$i, X368:$i]:((![X369:$i]:(((in @ X369 @ X367)=>(in @ X369 @ X368)))=>(![X370:$i]:(((in @ X370 @ X368)=>(in @ X370 @ X367)))=>((X367)=(X368)))))=>(![X371:$i]:((![X372:$i]:(~(in @ X372 @ X371))=>((X371)=(emptyset))))=>(![X373:$i]:((![X374:$i]:(~(in @ X374 @ X373))=>((X373)=(emptyset))))=>(![X375:$i, X376:$i > $o, X377:$i]:(((in @ X377 @ X375)=>((in @ X377 @ (dsetconstr @ X375 @ X376))<=>(X376 @ X377))))=>(![X378:$i]:((((X378)!=(emptyset))=>?[X379:$i]:((in @ X379 @ X378))))=>(![X380:$i, X381:$i > $o, X382:$i]:(((in @ X382 @ X380)=>((X381 @ X382)=>((dsetconstr @ X380 @ X381)!=(emptyset)))))=>(![X383:$i]:((?[X384:$i]:((in @ X384 @ X383))=>((X383)!=(emptyset))))=>(![X385:$i, X386:$i]:((in @ X385 @ (setadjoin @ X385 @ X386)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X387:$i, X388:$i, X389:$i]:(((in @ X389 @ X388)=>(in @ X389 @ (setadjoin @ X387 @ X388))))=>(![X390:$i, X391:$i, X392:$i]:(((in @ X392 @ (setadjoin @ X390 @ X391))=>![X393:$o]:(((((X392)=(X390))=>(X393))=>(((in @ X392 @ X391)=>(X393))=>(X393))))))=>(![X394:$i, X395:$i, X396:$i]:(((in @ X396 @ (setadjoin @ X394 @ X395))=>(((X396)=(X394))|(in @ X396 @ X395))))=>(![X397:$i]:(((dsetconstr @ X397 @ (^[Z0:$i]:($true)))=(X397)))=>(![X398:$i, X399:$i]:((![X400:$i]:(((in @ X400 @ X399)=>(in @ X400 @ X398)))=>(in @ X399 @ (powerset @ X398))))=>(![X401:$i]:((in @ emptyset @ (powerset @ X401)))=>(![X402:$i]:((in @ emptyset @ (powerset @ X402)))=>(![X403:$i, X404:$i, X405:$i]:(((in @ X404 @ (powerset @ X403))=>((in @ X405 @ X404)=>(in @ X405 @ X403))))=>(![X406:$i, X407:$i, X408:$i]:(((in @ X407 @ X408)=>((in @ X408 @ X406)=>(in @ X407 @ (setunion @ X406)))))=>(![X409:$i, X410:$i]:(((in @ X410 @ (setunion @ X409))=>![X411:$o]:((![X412:$i]:(((in @ X410 @ X412)=>((in @ X412 @ X409)=>(X411))))=>(X411)))))=>(![X413:$i, X414:$i]:(((in @ X414 @ X413)=>(in @ X414 @ (powerset @ (setunion @ X413)))))=>(![X415:$i > $o]:((?[X416:$i]:(((X415 @ X416)&![X417:$i]:(((X415 @ X417)=>((X416)=(X417))))))=>?[X418:$i]:(![X419:$i]:(((X415 @ X419)<=>((X419)=(X418)))))))=>(![X420:$i]:((((X420)!=(emptyset))=>?[X421:$i]:(((in @ X421 @ X420)&$true))))=>(![X422:$i, X423:$i]:(((in @ X422 @ (setadjoin @ X423 @ emptyset))=>((X422)=(X423))))=>(![X424:$i, X425:$i]:((((X424)!=(X425))=>~(in @ X425 @ (setadjoin @ X424 @ emptyset))))=>(![X426:$i, X427:$i]:((((X426)=(X427))=>(in @ X426 @ (setadjoin @ X427 @ emptyset))))=>(![X428:$i, X429:$i]:(((in @ X428 @ (setadjoin @ X429 @ emptyset))=>(in @ X429 @ (setadjoin @ X428 @ emptyset))))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ (setadjoin @ X430 @ (setadjoin @ X431 @ emptyset)))=>(((X432)=(X430))|((X432)=(X431)))))=>(![X433:$i, X434:$i]:((in @ X433 @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset))))=>(![X435:$i, X436:$i]:((in @ X436 @ (setadjoin @ X435 @ (setadjoin @ X436 @ emptyset))))=>(![X437:$i, X438:$i > $o]:((?[X439:$i]:(((in @ X439 @ X437)&(X438 @ X439)))=>(((dsetconstr @ X437 @ X438)=(emptyset))=>~($true))))=>(![X440:$i > $o, X441:$i]:(((in @ X441 @ emptyset)=>(X440 @ X441)))=>(![X442:$i, X443:$i > $o]:((~(![X444:$i]:(((in @ X444 @ X442)=>(X443 @ X444))))=>?[X445:$i]:(((in @ X445 @ X442)&~((X443 @ X445))))))=>(![X446:$i, X447:$i > $o]:((![X448:$i]:(((in @ X448 @ X446)=>~((X447 @ X448))))=>~(?[X449:$i]:(((in @ X449 @ X446)&(X447 @ X449))))))=>(![X450:$i, X451:$i > $o]:((~(?[X452:$i]:(((in @ X452 @ X450)&(X451 @ X452))))=>![X453:$i]:(((in @ X453 @ X450)=>~((X451 @ X453))))))=>(![X454:$i, X455:$i > $o]:((?[X456:$i]:(((in @ X456 @ X454)&~((X455 @ X456))))=>~(![X457:$i]:(((in @ X457 @ X454)=>(X455 @ X457))))))=>(![X458:$o]:(((X458)=>(in @ emptyset @ (prop2set @ ((X458))))))=>((prop2set2propI)=>(![X459:$i, X460:$i > $o]:((~(?[X461:$i]:(((in @ X461 @ X459)&(X460 @ X461))))=>![X462:$i]:(((in @ X462 @ X459)=>~((X460 @ X462))))))=>(![X463:$i, X464:$i > $o]:((~(![X465:$i]:(((in @ X465 @ X463)=>(X464 @ X465))))=>?[X466:$i]:(((in @ X466 @ X463)&~((X464 @ X466))))))=>(![X467:$i > $o]:((?[X468:$i]:(((X467 @ X468)&![X469:$i]:(((X467 @ X469)=>((X468)=(X469))))))=>?[X470:$i]:(((X467 @ X470)&![X471:$i]:(((X467 @ X471)=>((X470)=(X471))))))))=>(![X472:$i > $o]:((?[X473:$i]:((X472 @ X473))=>(![X474:$i, X475:$i]:(((X472 @ X474)=>((X472 @ X475)=>((X474)=(X475)))))=>?[X476:$i]:(((X472 @ X476)&![X477:$i]:(((X472 @ X477)=>((X476)=(X477)))))))))=>(![X478:$i > $o]:((?[X479:$i]:(![X480:$i]:(((X478 @ X480)<=>((X480)=(X479)))))=>?[X481:$i]:(((X478 @ X481)&![X482:$i]:(((X478 @ X482)=>((X481)=(X482))))))))=>(![X483:$i, X484:$i]:((((X483)=(X484))=>![X485:$i, X486:$i]:((((X485)=(X486))=>((in @ X485 @ X483)=>(in @ X486 @ X484))))))=>(![X487:$i, X488:$i]:((((X487)=(X488))=>![X489:$i, X490:$i]:((((X489)=(X490))=>((in @ X489 @ X487)<=>(in @ X490 @ X488))))))=>(![X491:$i > $o]:((?[X492:$i]:(((X491 @ X492)&![X493:$i]:(((X491 @ X493)=>((X492)=(X493))))))=>![X494:$i, X495:$i]:(((X491 @ X494)=>((X491 @ X495)=>((X494)=(X495)))))))=>(![X496:$i > $o, X497:$i > $o]:((![X498:$i, X499:$i]:((((X498)=(X499))=>((X496 @ X498)<=>(X497 @ X499))))=>(?[X500:$i]:(((X496 @ X500)&![X501:$i]:(((X496 @ X501)=>((X500)=(X501))))))<=>?[X502:$i]:(((X497 @ X502)&![X503:$i]:(((X497 @ X503)=>((X502)=(X503)))))))))=>(((emptyset)=(emptyset))=>(![X504:$i, X505:$i]:((((X504)=(X505))=>![X506:$i, X507:$i]:((((X506)=(X507))=>((setadjoin @ X504 @ X506)=(setadjoin @ X505 @ X507))))))=>(![X508:$i, X509:$i]:((((X508)=(X509))=>((powerset @ X508)=(powerset @ X509))))=>(![X510:$i, X511:$i]:((((X510)=(X511))=>((setunion @ X510)=(setunion @ X511))))=>(((omega)=(omega))=>(![X512:$i > $o]:((?[X513:$i]:(((X512 @ X513)&![X514:$i]:(((X512 @ X514)=>((X513)=(X514))))))=>![X515:$i, X516:$i]:(((X512 @ X515)=>((X512 @ X516)=>((X515)=(X516)))))))=>(![X517:$i > $o, X518:$i > $o]:((![X519:$i, X520:$i]:((((X519)=(X520))=>((X517 @ X519)<=>(X518 @ X520))))=>(?[X521:$i]:(((X517 @ X521)&![X522:$i]:(((X517 @ X522)=>((X521)=(X522))))))=>(?[X523:$i]:(((X518 @ X523)&![X524:$i]:(((X518 @ X524)=>((X523)=(X524))))))=>((descr @ X517)=(descr @ X518))))))=>(![X525:$i, X526:$i]:((((X525)=(X526))=>![X527:$i > $o, X528:$i > $o]:((![X529:$i]:(((in @ X529 @ X525)=>![X530:$i]:(((in @ X530 @ X526)=>(((X529)=(X530))=>((X527 @ X529)<=>(X528 @ X530)))))))=>((dsetconstr @ X525 @ X527)=(dsetconstr @ X526 @ X528))))))=>(![X531:$i, X532:$i]:((![X533:$i]:(((in @ X533 @ X531)=>(in @ X533 @ X532)))=>(subset @ X531 @ X532)))=>(![X534:$i, X535:$i]:((((X534)=(X535))=>(subset @ X535 @ X534)))=>(![X536:$i, X537:$i]:((((X536)=(X537))=>(subset @ X536 @ X537)))=>(![X538:$i, X539:$i]:((![X540:$i]:(((in @ X540 @ X538)=>(in @ X540 @ X539)))=>(subset @ X538 @ X539)))=>(![X541:$i]:((subset @ emptyset @ X541))=>(![X542:$i, X543:$i, X544:$i]:(((subset @ X542 @ X543)=>((in @ X544 @ X542)=>(in @ X544 @ X543))))=>(![X545:$i, X546:$i, X547:$i]:(((subset @ X545 @ X546)=>(~(in @ X547 @ X546)=>~(in @ X547 @ X545))))=>(![X548:$i, X549:$i, X550:$i]:(((in @ X550 @ X548)=>(~(in @ X550 @ X549)=>~(subset @ X548 @ X549))))=>(![X551:$i, X552:$i]:((~(subset @ X551 @ X552)=>((X551)!=(X552))))=>(![X553:$i, X554:$i, X555:$i]:(((in @ X555 @ X553)=>(~(in @ X555 @ X554)=>((X553)!=(X554)))))=>(![X556:$i]:((subset @ X556 @ X556))=>(![X557:$i, X558:$i, X559:$i]:(((subset @ X557 @ X558)=>((subset @ X558 @ X559)=>(subset @ X557 @ X559))))=>(![X560:$i, X561:$i]:((subset @ X561 @ (setadjoin @ X560 @ X561)))=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_105, c_0_106]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), c_0_107]), subsetI1]), emptysetE]), eqimpsubset2]), prop2setE]), eqimpsubset1]), c_0_108]), subsetI2]), emptysetimpfalse]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), c_0_109]), c_0_110]), noeltsimpempty]), emptyI]), setext]), c_0_111]), notinemptyset]), c_0_112]), c_0_113]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_114]), powersetI]), c_0_115]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), c_0_116]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_117]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), notdallE]), c_0_118]), c_0_119]), in__Cong]), inCongP]), c_0_120]), c_0_121]), c_0_122]), omega__Cong]), emptyset__Cong]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), wellorderingAx]), foundationAx]), c_0_128]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_129])).
% 0.19/0.32 thf(c_0_131, negated_conjecture, ![X562:$i, X563:$i, X565:$i, X566:$i, X567:$i, X568:$i, X569:$i, X570:$i, X571:$i, X572:$i, X573:$i, X575:$i, X576:$i, X578:$i, X579:$i, X580:$i, X581:$i, X582:$i, X584:$i, X585:$i > $i > $o, X586:$i, X588:$i, X591:$i, X593:$i, X594:$i, X595:$i, X596:$i, X598:$i, X599:$i > $o, X600:$i, X602:$i, X603:$i > $o, X604:$i, X605:$i, X606:$i > $o, X607:$i, X608:$i, X609:$i > $o, X610:$i, X611:$i > $o, X612:$i, X615:$i, X616:$o, X617:$i, X618:$i, X619:$o, X620:$i, X621:$i, X622:$i > $o, X623:$i, X626:$i, X627:$i, X630:$i, X632:$i, X634:$i, X635:$i > $o, X636:$i, X637:$i, X639:$i, X640:$i > $o, X641:$i, X642:$i, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$o, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$o, X672:$i, X673:$i, X674:$i > $o, X675:$i, X678:$i, X679:$i, X680:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i > $o, X699:$i, X700:$i > $o, X701:$i, X702:$i, X703:$i > $o, X704:$i, X706:$i, X707:$i > $o, X709:$i, X710:$i, X711:$i > $o, X713:$i, X714:$i, X715:$i > $o, X716:$i, X718:$o, X719:$i, X720:$i > $o, X722:$i, X723:$i, X724:$i > $o, X725:$i, X727:$i > $o, X728:$i, X731:$i, X732:$i > $o, X733:$i, X737:$i, X738:$i > $o, X739:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i > $o, X752:$i, X754:$i, X755:$i, X756:$i > $o, X757:$i > $o, X760:$i, X763:$i, X764:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i > $o, X777:$i, X779:$i, X780:$i, X781:$i > $o, X782:$i > $o, X785:$i, X787:$i, X789:$i, X790:$i, X791:$i > $o, X792:$i > $o, X795:$i, X796:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i]:((((~(in @ (esk1_2 @ X562 @ X563) @ X562)|~(in @ (esk1_2 @ X562 @ X563) @ X563)|((X562)=(X563)))&((in @ (esk1_2 @ X562 @ X563) @ X562)|(in @ (esk1_2 @ X562 @ X563) @ X563)|((X562)=(X563))))&(~(in @ X565 @ emptyset)&(((~(in @ X568 @ (setadjoin @ X566 @ X567))|(((X568)=(X566))|(in @ X568 @ X567)))&((((X568)!=(X566))|(in @ X568 @ (setadjoin @ X566 @ X567)))&(~(in @ X568 @ X567)|(in @ X568 @ (setadjoin @ X566 @ X567)))))&(((~(in @ X570 @ (powerset @ X569))|(~(in @ X571 @ X570)|(in @ X571 @ X569)))&(((in @ (esk2_2 @ X572 @ X573) @ X573)|(in @ X573 @ (powerset @ X572)))&(~(in @ (esk2_2 @ X572 @ X573) @ X572)|(in @ X573 @ (powerset @ X572)))))&(((((in @ X576 @ (esk3_2 @ X575 @ X576))|~(in @ X576 @ (setunion @ X575)))&((in @ (esk3_2 @ X575 @ X576) @ X575)|~(in @ X576 @ (setunion @ X575))))&(~(in @ X579 @ X580)|~(in @ X580 @ X578)|(in @ X579 @ (setunion @ X578))))&((in @ emptyset @ omega)&((~(in @ X581 @ omega)|(in @ (setadjoin @ X581 @ X581) @ omega))&(((((in @ (esk4_1 @ X582) @ omega)|~(in @ emptyset @ X582)|(~(in @ X584 @ omega)|(in @ X584 @ X582)))&((in @ (esk4_1 @ X582) @ X582)|~(in @ emptyset @ X582)|(~(in @ X584 @ omega)|(in @ X584 @ X582))))&(~(in @ (setadjoin @ (esk4_1 @ X582) @ (esk4_1 @ X582)) @ X582)|~(in @ emptyset @ X582)|(~(in @ X584 @ omega)|(in @ X584 @ X582))))&((((((in @ (esk8_3 @ X585 @ X586 @ X591) @ X586)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|(in @ (esk5_2 @ X585 @ X586) @ X586))&((X585 @ (esk8_3 @ X585 @ X586 @ X591) @ X591)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|(in @ (esk5_2 @ X585 @ X586) @ X586)))&(~(in @ X594 @ X586)|~(X585 @ X594 @ X593)|(in @ X593 @ (esk7_2 @ X585 @ X586))|(in @ (esk5_2 @ X585 @ X586) @ X586)))&(((((in @ (esk8_3 @ X585 @ X586 @ X591) @ X586)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|((X585 @ (esk5_2 @ X585 @ X586) @ (esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588)))&((X585 @ (esk8_3 @ X585 @ X586 @ X591) @ X591)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|((X585 @ (esk5_2 @ X585 @ X586) @ (esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588))))&(~(in @ X594 @ X586)|~(X585 @ X594 @ X593)|(in @ X593 @ (esk7_2 @ X585 @ X586))|((X585 @ (esk5_2 @ X585 @ X586) @ (esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588))))&((((in @ (esk8_3 @ X585 @ X586 @ X591) @ X586)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|(((X588)!=(esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588)))&((X585 @ (esk8_3 @ X585 @ X586 @ X591) @ X591)|~(in @ X591 @ (esk7_2 @ X585 @ X586))|(((X588)!=(esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588))))&(~(in @ X594 @ X586)|~(X585 @ X594 @ X593)|(in @ X593 @ (esk7_2 @ X585 @ X586))|(((X588)!=(esk6_3 @ X585 @ X586 @ X588))|~(X585 @ (esk5_2 @ X585 @ X586) @ X588))))))&((((in @ (esk9_1 @ X595) @ X595)|~(in @ X596 @ X595))&(~(in @ X598 @ (esk9_1 @ X595))|~(in @ X598 @ X595)|~(in @ X596 @ X595)))&((epred1_0)&((((X599 @ (esk10_2 @ X599 @ X600))|~(X599 @ X600)|(X599 @ (descr @ X599)))&(((X600)!=(esk10_2 @ X599 @ X600))|~(X599 @ X600)|(X599 @ (descr @ X599))))&((~(in @ X604 @ X602)|(~(X603 @ X604)|(in @ X604 @ (dsetconstr @ X602 @ X603))))&((~(in @ X607 @ (dsetconstr @ X605 @ X606))|(in @ X607 @ X605))&((~(in @ X610 @ (dsetconstr @ X608 @ X609))|(X609 @ X610))&(((((X611 @ (esk12_1 @ X611))|((X611 @ (esk11_2 @ X611 @ X612))|~(X611 @ X612)))&(~(X611 @ X615)|((esk12_1 @ X611)=(X615))|((X611 @ (esk11_2 @ X611 @ X612))|~(X611 @ X612))))&(((X611 @ (esk12_1 @ X611))|(((X612)!=(esk11_2 @ X611 @ X612))|~(X611 @ X612)))&(~(X611 @ X615)|((esk12_1 @ X611)=(X615))|(((X612)!=(esk11_2 @ X611 @ X612))|~(X611 @ X612)))))&((~(in @ X617 @ (prop2set @ ((X616))))|(X616))&((~(in @ X618 @ emptyset)|(X619))&((~(in @ X620 @ emptyset)|~($true))&(~(in @ X621 @ emptyset)&((((X622 @ (esk13_2 @ X622 @ X623))|~(X622 @ X623)|(X622 @ (esk14_1 @ X622)))&(((X623)!=(esk13_2 @ X622 @ X623))|~(X622 @ X623)|(X622 @ (esk14_1 @ X622))))&(((((in @ (esk16_2 @ X626 @ X627) @ X627)|((X626)=(X627))|(in @ (esk15_2 @ X626 @ X627) @ X626))&(~(in @ (esk16_2 @ X626 @ X627) @ X626)|((X626)=(X627))|(in @ (esk15_2 @ X626 @ X627) @ X626)))&(((in @ (esk16_2 @ X626 @ X627) @ X627)|((X626)=(X627))|~(in @ (esk15_2 @ X626 @ X627) @ X627))&(~(in @ (esk16_2 @ X626 @ X627) @ X626)|((X626)=(X627))|~(in @ (esk15_2 @ X626 @ X627) @ X627))))&(((in @ (esk17_1 @ X630) @ X630)|((X630)=(emptyset)))&(((in @ (esk18_1 @ X632) @ X632)|((X632)=(emptyset)))&(((~(in @ X636 @ (dsetconstr @ X634 @ X635))|(X635 @ X636)|~(in @ X636 @ X634))&(~(X635 @ X636)|(in @ X636 @ (dsetconstr @ X634 @ X635))|~(in @ X636 @ X634)))&((((X637)=(emptyset))|(in @ (esk19_1 @ X637) @ X637))&((~(in @ X641 @ X639)|(~(X640 @ X641)|((dsetconstr @ X639 @ X640)!=(emptyset))))&((~(in @ X643 @ X642)|((X642)!=(emptyset)))&((in @ X644 @ (setadjoin @ X644 @ X645))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X648 @ X647)|(in @ X648 @ (setadjoin @ X646 @ X647)))&(((((in @ X651 @ X650)|(X652)|((X651)=(X649))|~(in @ X651 @ (setadjoin @ X649 @ X650)))&(~(X652)|(X652)|((X651)=(X649))|~(in @ X651 @ (setadjoin @ X649 @ X650))))&(((in @ X651 @ X650)|(X652)|~(X652)|~(in @ X651 @ (setadjoin @ X649 @ X650)))&(~(X652)|(X652)|~(X652)|~(in @ X651 @ (setadjoin @ X649 @ X650)))))&((~(in @ X655 @ (setadjoin @ X653 @ X654))|(((X655)=(X653))|(in @ X655 @ X654)))&(((dsetconstr @ X656 @ (^[Z0:$i]:($true)))=(X656))&((((in @ (esk20_2 @ X657 @ X658) @ X658)|(in @ X658 @ (powerset @ X657)))&(~(in @ (esk20_2 @ X657 @ X658) @ X657)|(in @ X658 @ (powerset @ X657))))&((in @ emptyset @ (powerset @ X660))&((in @ emptyset @ (powerset @ X661))&((~(in @ X663 @ (powerset @ X662))|(~(in @ X664 @ X663)|(in @ X664 @ X662)))&((~(in @ X666 @ X667)|(~(in @ X667 @ X665)|(in @ X666 @ (setunion @ X665))))&((((in @ X669 @ (esk21_3 @ X668 @ X669 @ X670))|(X670)|~(in @ X669 @ (setunion @ X668)))&(((in @ (esk21_3 @ X668 @ X669 @ X670) @ X668)|(X670)|~(in @ X669 @ (setunion @ X668)))&(~(X670)|(X670)|~(in @ X669 @ (setunion @ X668)))))&((~(in @ X673 @ X672)|(in @ X673 @ (powerset @ (setunion @ X672))))&((((~(X674 @ X678)|((X678)=(esk23_1 @ X674))|((X674 @ (esk22_2 @ X674 @ X675))|~(X674 @ X675)))&(((X679)!=(esk23_1 @ X674))|(X674 @ X679)|((X674 @ (esk22_2 @ X674 @ X675))|~(X674 @ X675))))&((~(X674 @ X678)|((X678)=(esk23_1 @ X674))|(((X675)!=(esk22_2 @ X674 @ X675))|~(X674 @ X675)))&(((X679)!=(esk23_1 @ X674))|(X674 @ X679)|(((X675)!=(esk22_2 @ X674 @ X675))|~(X674 @ X675)))))&((((in @ (esk24_1 @ X680) @ X680)|((X680)=(emptyset)))&(($true)|((X680)=(emptyset))))&((~(in @ X682 @ (setadjoin @ X683 @ emptyset))|((X682)=(X683)))&((((X684)=(X685))|~(in @ X685 @ (setadjoin @ X684 @ emptyset)))&((((X686)!=(X687))|(in @ X686 @ (setadjoin @ X687 @ emptyset)))&((~(in @ X688 @ (setadjoin @ X689 @ emptyset))|(in @ X689 @ (setadjoin @ X688 @ emptyset)))&((~(in @ X692 @ (setadjoin @ X690 @ (setadjoin @ X691 @ emptyset)))|(((X692)=(X690))|((X692)=(X691))))&((in @ X693 @ (setadjoin @ X693 @ (setadjoin @ X694 @ emptyset)))&((in @ X696 @ (setadjoin @ X695 @ (setadjoin @ X696 @ emptyset)))&((~(in @ X699 @ X697)|~(X698 @ X699)|(((dsetconstr @ X697 @ X698)!=(emptyset))|~($true)))&((~(in @ X701 @ emptyset)|(X700 @ X701))&((((in @ (esk25_2 @ X702 @ X703) @ X702)|(~(in @ X704 @ X702)|(X703 @ X704)))&(~(X703 @ (esk25_2 @ X702 @ X703))|(~(in @ X704 @ X702)|(X703 @ X704))))&((((in @ (esk26_2 @ X706 @ X707) @ X706)|(~(in @ X709 @ X706)|~(X707 @ X709)))&((X707 @ (esk26_2 @ X706 @ X707))|(~(in @ X709 @ X706)|~(X707 @ X709))))&((((in @ (esk27_2 @ X710 @ X711) @ X710)|(~(in @ X713 @ X710)|~(X711 @ X713)))&((X711 @ (esk27_2 @ X710 @ X711))|(~(in @ X713 @ X710)|~(X711 @ X713))))&((((in @ (esk28_2 @ X714 @ X715) @ X714)|(~(in @ X716 @ X714)|(X715 @ X716)))&(~(X715 @ (esk28_2 @ X714 @ X715))|(~(in @ X716 @ X714)|(X715 @ X716))))&((~(X718)|(in @ emptyset @ (prop2set @ ((X718)))))&((prop2set2propI)&((((in @ (esk29_2 @ X719 @ X720) @ X719)|(~(in @ X722 @ X719)|~(X720 @ X722)))&((X720 @ (esk29_2 @ X719 @ X720))|(~(in @ X722 @ X719)|~(X720 @ X722))))&((((in @ (esk30_2 @ X723 @ X724) @ X723)|(~(in @ X725 @ X723)|(X724 @ X725)))&(~(X724 @ (esk30_2 @ X723 @ X724))|(~(in @ X725 @ X723)|(X724 @ X725))))&(((((X727 @ (esk32_1 @ X727))|((X727 @ (esk31_2 @ X727 @ X728))|~(X727 @ X728)))&(~(X727 @ X731)|((esk32_1 @ X727)=(X731))|((X727 @ (esk31_2 @ X727 @ X728))|~(X727 @ X728))))&(((X727 @ (esk32_1 @ X727))|(((X728)!=(esk31_2 @ X727 @ X728))|~(X727 @ X728)))&(~(X727 @ X731)|((esk32_1 @ X727)=(X731))|(((X728)!=(esk31_2 @ X727 @ X728))|~(X727 @ X728)))))&(((((X732 @ (esk35_1 @ X732))|(X732 @ (esk33_1 @ X732))|~(X732 @ X733))&(~(X732 @ X737)|((esk35_1 @ X732)=(X737))|(X732 @ (esk33_1 @ X732))|~(X732 @ X733)))&((((X732 @ (esk35_1 @ X732))|(X732 @ (esk34_1 @ X732))|~(X732 @ X733))&(~(X732 @ X737)|((esk35_1 @ X732)=(X737))|(X732 @ (esk34_1 @ X732))|~(X732 @ X733)))&(((X732 @ (esk35_1 @ X732))|((esk33_1 @ X732)!=(esk34_1 @ X732))|~(X732 @ X733))&(~(X732 @ 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@ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757))))&(~(X757 @ X763)|((esk42_2 @ X756 @ X757)=(X763))|(((X760)!=(esk41_3 @ X756 @ X757 @ X760))|~(X756 @ X760))|((X756 @ (esk39_2 @ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757))))))&((((X756 @ (esk44_2 @ X756 @ X757))|((X757 @ (esk43_3 @ X756 @ X757 @ X764))|~(X757 @ X764))|((X756 @ (esk39_2 @ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757))))&(~(X756 @ X767)|((esk44_2 @ X756 @ X757)=(X767))|((X757 @ (esk43_3 @ X756 @ X757 @ X764))|~(X757 @ X764))|((X756 @ (esk39_2 @ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757)))))&(((X756 @ (esk44_2 @ X756 @ X757))|(((X764)!=(esk43_3 @ X756 @ X757 @ X764))|~(X757 @ X764))|((X756 @ (esk39_2 @ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757))))&(~(X756 @ X767)|((esk44_2 @ X756 @ X757)=(X767))|(((X764)!=(esk43_3 @ X756 @ X757 @ X764))|~(X757 @ X764))|((X756 @ (esk39_2 @ X756 @ X757))|(X757 @ (esk40_2 @ X756 @ X757)))))))))&(((emptyset)=(emptyset))&((((X768)!=(X769))|(((X770)!=(X771))|((setadjoin @ X768 @ X770)=(setadjoin @ X769 @ X771))))&((((X772)!=(X773))|((powerset @ X772)=(powerset @ X773)))&((((X774)!=(X775))|((setunion @ X774)=(setunion @ X775)))&(((omega)=(omega))&((((X776 @ (esk45_2 @ X776 @ X777))|~(X776 @ X777)|(~(X776 @ X779)|(~(X776 @ X780)|((X779)=(X780)))))&(((X777)!=(esk45_2 @ X776 @ X777))|~(X776 @ X777)|(~(X776 @ X779)|(~(X776 @ X780)|((X779)=(X780))))))&((((((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk46_2 @ X781 @ X782)=(esk47_2 @ X781 @ X782)))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk46_2 @ X781 @ X782)=(esk47_2 @ X781 @ X782))))&(((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk46_2 @ X781 @ X782)=(esk47_2 @ X781 @ X782)))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk46_2 @ X781 @ X782)=(esk47_2 @ X781 @ X782)))))&(((((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk46_2 @ X781 @ X782))|~(X782 @ (esk47_2 @ X781 @ X782))))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk46_2 @ X781 @ X782))|~(X782 @ (esk47_2 @ X781 @ X782)))))&(((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk46_2 @ X781 @ X782))|~(X782 @ (esk47_2 @ X781 @ X782))))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk46_2 @ X781 @ X782))|~(X782 @ (esk47_2 @ X781 @ X782))))))&((((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk46_2 @ X781 @ X782))|(X782 @ (esk47_2 @ X781 @ X782))))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|((X781 @ (esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk46_2 @ X781 @ X782))|(X782 @ (esk47_2 @ X781 @ X782)))))&(((X782 @ (esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk46_2 @ X781 @ X782))|(X782 @ (esk47_2 @ X781 @ X782))))&(((X787)!=(esk49_3 @ X781 @ X782 @ X787))|~(X782 @ X787)|((descr @ X781)=(descr @ X782))|(((X785)!=(esk48_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk46_2 @ X781 @ X782))|(X782 @ (esk47_2 @ X781 @ X782))))))))&((((in @ (esk50_4 @ X789 @ X790 @ X791 @ X792) @ X789)|((dsetconstr @ X789 @ X791)=(dsetconstr @ X790 @ X792))|((X789)!=(X790)))&(((in @ (esk51_4 @ X789 @ X790 @ X791 @ X792) @ X790)|((dsetconstr @ X789 @ X791)=(dsetconstr @ X790 @ X792))|((X789)!=(X790)))&((((esk50_4 @ X789 @ X790 @ X791 @ X792)=(esk51_4 @ X789 @ X790 @ X791 @ X792))|((dsetconstr @ X789 @ X791)=(dsetconstr @ X790 @ X792))|((X789)!=(X790)))&((~(X791 @ (esk50_4 @ X789 @ X790 @ X791 @ X792))|~(X792 @ (esk51_4 @ X789 @ X790 @ X791 @ X792))|((dsetconstr @ X789 @ X791)=(dsetconstr @ X790 @ X792))|((X789)!=(X790)))&((X791 @ (esk50_4 @ X789 @ X790 @ X791 @ X792))|(X792 @ (esk51_4 @ X789 @ X790 @ X791 @ X792))|((dsetconstr @ X789 @ X791)=(dsetconstr @ X790 @ X792))|((X789)!=(X790)))))))&((((in @ (esk52_2 @ X795 @ X796) @ X795)|(subset @ X795 @ X796))&(~(in @ (esk52_2 @ X795 @ X796) @ X796)|(subset @ X795 @ X796)))&((((X798)!=(X799))|(subset @ X799 @ X798))&((((X800)!=(X801))|(subset @ X800 @ X801))&((((in @ (esk53_2 @ X802 @ X803) @ X802)|(subset @ X802 @ X803))&(~(in @ (esk53_2 @ X802 @ X803) @ X803)|(subset @ X802 @ X803)))&((subset @ emptyset @ X805)&((~(subset @ X806 @ X807)|(~(in @ X808 @ X806)|(in @ X808 @ X807)))&((~(subset @ X809 @ X810)|((in @ X811 @ X810)|~(in @ X811 @ X809)))&((~(in @ X814 @ X812)|((in @ X814 @ X813)|~(subset @ X812 @ X813)))&(((subset @ X815 @ X816)|((X815)!=(X816)))&((~(in @ X819 @ X817)|((in @ X819 @ X818)|((X817)!=(X818))))&((subset @ X820 @ X820)&((~(subset @ X821 @ X822)|(~(subset @ X822 @ X823)|(subset @ X821 @ X823)))&((subset @ X825 @ (setadjoin @ X824 @ X825))&((subset @ esk54_0 @ esk56_0)&~(subset @ esk54_0 @ (setadjoin @ esk55_0 @ esk56_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])])])])])).
% 0.19/0.32 thf(c_0_132, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ X4)|~((subset @ X2 @ X3))|~((subset @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_131])).
% 0.19/0.32 thf(c_0_133, negated_conjecture, ![X3:$i, X2:$i]:((subset @ X2 @ (setadjoin @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_131])).
% 0.19/0.32 thf(c_0_134, negated_conjecture, ~((subset @ esk54_0 @ (setadjoin @ esk55_0 @ esk56_0))), inference(split_conjunct,[status(thm)],[c_0_131])).
% 0.19/0.32 thf(c_0_135, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ (setadjoin @ X3 @ X4))|~((subset @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_132, c_0_133])).
% 0.19/0.32 thf(c_0_136, negated_conjecture, (subset @ esk54_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_131])).
% 0.19/0.32 thf(c_0_137, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_136])]), ['proof']).
% 0.19/0.32 % SZS output end CNFRefutation
% 0.19/0.32 % Parsed axioms : 194
% 0.19/0.32 % Removed by relevancy pruning/SinE : 104
% 0.19/0.32 % Initial clauses : 200
% 0.19/0.32 % Removed in clause preprocessing : 14
% 0.19/0.32 % Initial clauses in saturation : 186
% 0.19/0.32 % Processed clauses : 89
% 0.19/0.32 % ...of these trivial : 2
% 0.19/0.32 % ...subsumed : 27
% 0.19/0.32 % ...remaining for further processing : 60
% 0.19/0.32 % Other redundant clauses eliminated : 6
% 0.19/0.32 % Clauses deleted for lack of memory : 0
% 0.19/0.32 % Backward-subsumed : 0
% 0.19/0.32 % Backward-rewritten : 2
% 0.19/0.32 % Generated clauses : 170
% 0.19/0.32 % ...of the previous two non-redundant : 139
% 0.19/0.32 % ...aggressively subsumed : 0
% 0.19/0.32 % Contextual simplify-reflections : 0
% 0.19/0.32 % Paramodulations : 164
% 0.19/0.32 % Factorizations : 0
% 0.19/0.32 % NegExts : 0
% 0.19/0.32 % Equation resolutions : 6
% 0.19/0.32 % Disequality decompositions : 0
% 0.19/0.32 % Total rewrite steps : 33
% 0.19/0.32 % ...of those cached : 16
% 0.19/0.32 % Propositional unsat checks : 0
% 0.19/0.32 % Propositional check models : 0
% 0.19/0.32 % Propositional check unsatisfiable : 0
% 0.19/0.32 % Propositional clauses : 0
% 0.19/0.32 % Propositional clauses after purity: 0
% 0.19/0.32 % Propositional unsat core size : 0
% 0.19/0.32 % Propositional preprocessing time : 0.000
% 0.19/0.32 % Propositional encoding time : 0.000
% 0.19/0.32 % Propositional solver time : 0.000
% 0.19/0.32 % Success case prop preproc time : 0.000
% 0.19/0.32 % Success case prop encoding time : 0.000
% 0.19/0.32 % Success case prop solver time : 0.000
% 0.19/0.32 % Current number of processed clauses : 52
% 0.19/0.32 % Positive orientable unit clauses : 18
% 0.19/0.32 % Positive unorientable unit clauses: 0
% 0.19/0.32 % Negative unit clauses : 2
% 0.19/0.32 % Non-unit-clauses : 32
% 0.19/0.32 % Current number of unprocessed clauses: 234
% 0.19/0.32 % ...number of literals in the above : 794
% 0.19/0.32 % Current number of archived formulas : 0
% 0.19/0.32 % Current number of archived clauses : 2
% 0.19/0.32 % Clause-clause subsumption calls (NU) : 119
% 0.19/0.32 % Rec. Clause-clause subsumption calls : 99
% 0.19/0.32 % Non-unit clause-clause subsumptions : 19
% 0.19/0.32 % Unit Clause-clause subsumption calls : 5
% 0.19/0.32 % Rewrite failures with RHS unbound : 0
% 0.19/0.32 % BW rewrite match attempts : 4
% 0.19/0.32 % BW rewrite match successes : 2
% 0.19/0.32 % Condensation attempts : 0
% 0.19/0.32 % Condensation successes : 0
% 0.19/0.32 % Termbank termtop insertions : 26601
% 0.19/0.32 % Search garbage collected termcells : 9981
% 0.19/0.32
% 0.19/0.32 % -------------------------------------------------
% 0.19/0.32 % User time : 0.026 s
% 0.19/0.32 % System time : 0.012 s
% 0.19/0.32 % Total time : 0.038 s
% 0.19/0.32 % Maximum resident set size: 6332 pages
% 0.19/0.32
% 0.19/0.32 % -------------------------------------------------
% 0.19/0.32 % User time : 0.028 s
% 0.19/0.32 % System time : 0.016 s
% 0.19/0.32 % Total time : 0.044 s
% 0.19/0.32 % Maximum resident set size: 5120 pages
% 0.19/0.32 % E exiting
%------------------------------------------------------------------------------