%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU573^1 : 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 : n013.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 08:24:34 AM UTC 2026
% Result : Theorem 0.20s 0.31s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU573^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:50:36 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 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.hm8fTR9o1U/E---3.1_2148378.p
% 0.20/0.31 % Version: 3.5.1-ho
% 0.20/0.31 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.20/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.20/0.31 % Starting ehoh_best3_rw with 300s (1) cores
% 0.20/0.31 % Starting almost_fo_3 with 300s (1) cores
% 0.20/0.31 % Starting new_ho_13 with 300s (1) cores
% 0.20/0.31 % ehoh_best3_avoidappvar with pid 2148391 completed with status 0
% 0.20/0.31 % Result found by ehoh_best3_avoidappvar
% 0.20/0.31 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.20/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.20/0.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.31 % No SInE strategy applied
% 0.20/0.31 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.20/0.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.31 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.31 % Starting ehoh_best3_avoidappvar with 151s (1) cores
% 0.20/0.31 % Starting sh5l with 136s (1) cores
% 0.20/0.31 % Starting lpo1_def_fix with 136s (1) cores
% 0.20/0.31 % Starting full_lambda_2 with 136s (1) cores
% 0.20/0.31 % SubtermCWHack with pid 2148396 completed with status 0
% 0.20/0.31 % Result found by SubtermCWHack
% 0.20/0.31 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.20/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.20/0.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.31 % No SInE strategy applied
% 0.20/0.31 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.20/0.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.31 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.31 % Preprocessing time : 0.002 s
% 0.20/0.31
% 0.20/0.31 % Proof found!
% 0.20/0.31 % SZS status Theorem
% 0.20/0.31 % SZS output start CNFRefutation
% 0.20/0.31 thf(decl_23, type, in: $i > $i > $o).
% 0.20/0.31 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.20/0.31 thf(decl_25, type, setextAx: $o).
% 0.20/0.31 thf(decl_26, type, emptyset: $i).
% 0.20/0.31 thf(decl_27, type, emptysetAx: $o).
% 0.20/0.31 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.20/0.31 thf(decl_29, type, setadjoinAx: $o).
% 0.20/0.31 thf(decl_30, type, powerset: $i > $i).
% 0.20/0.31 thf(decl_31, type, powersetAx: $o).
% 0.20/0.31 thf(decl_32, type, setunion: $i > $i).
% 0.20/0.31 thf(decl_33, type, setunionAx: $o).
% 0.20/0.31 thf(decl_34, type, omega: $i).
% 0.20/0.31 thf(decl_35, type, omega0Ax: $o).
% 0.20/0.31 thf(decl_36, type, omegaSAx: $o).
% 0.20/0.31 thf(decl_37, type, omegaIndAx: $o).
% 0.20/0.31 thf(decl_38, type, replAx: $o).
% 0.20/0.31 thf(decl_39, type, foundationAx: $o).
% 0.20/0.31 thf(decl_40, type, wellorderingAx: $o).
% 0.20/0.31 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.20/0.31 thf(decl_42, type, descrp: $o).
% 0.20/0.31 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_44, type, dsetconstrI: $o).
% 0.20/0.31 thf(decl_45, type, dsetconstrEL: $o).
% 0.20/0.31 thf(decl_46, type, dsetconstrER: $o).
% 0.20/0.31 thf(decl_47, type, exuE1: $o).
% 0.20/0.31 thf(decl_48, type, prop2set: $o > $i).
% 0.20/0.31 thf(decl_49, type, prop2setE: $o).
% 0.20/0.31 thf(decl_50, type, emptysetE: $o).
% 0.20/0.31 thf(decl_51, type, emptysetimpfalse: $o).
% 0.20/0.31 thf(decl_52, type, notinemptyset: $o).
% 0.20/0.31 thf(decl_53, type, exuE3e: $o).
% 0.20/0.31 thf(decl_54, type, setext: $o).
% 0.20/0.31 thf(decl_55, type, emptyI: $o).
% 0.20/0.31 thf(decl_56, type, noeltsimpempty: $o).
% 0.20/0.31 thf(decl_57, type, setbeta: $o).
% 0.20/0.31 thf(decl_58, type, nonempty: $i > $o).
% 0.20/0.31 thf(decl_59, type, nonemptyE1: $o).
% 0.20/0.31 thf(decl_60, type, nonemptyI: $o).
% 0.20/0.31 thf(decl_61, type, nonemptyI1: $o).
% 0.20/0.31 thf(decl_62, type, setadjoinIL: $o).
% 0.20/0.31 thf(decl_63, type, emptyinunitempty: $o).
% 0.20/0.31 thf(decl_64, type, setadjoinIR: $o).
% 0.20/0.31 thf(decl_65, type, setadjoinE: $o).
% 0.20/0.31 thf(decl_66, type, setadjoinOr: $o).
% 0.20/0.31 thf(decl_67, type, setoftrueEq: $o).
% 0.20/0.31 thf(decl_68, type, powersetI: $o).
% 0.20/0.31 thf(decl_69, type, emptyinPowerset: $o).
% 0.20/0.31 thf(decl_70, type, emptyInPowerset: $o).
% 0.20/0.31 thf(decl_71, type, powersetE: $o).
% 0.20/0.31 thf(decl_72, type, setunionI: $o).
% 0.20/0.31 thf(decl_73, type, setunionE: $o).
% 0.20/0.31 thf(decl_74, type, subPowSU: $o).
% 0.20/0.31 thf(decl_75, type, exuE2: $o).
% 0.20/0.31 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.20/0.31 thf(decl_77, type, uniqinunit: $o).
% 0.20/0.31 thf(decl_78, type, notinsingleton: $o).
% 0.20/0.31 thf(decl_79, type, eqinunit: $o).
% 0.20/0.31 thf(decl_80, type, singletonsswitch: $o).
% 0.20/0.31 thf(decl_81, type, upairsetE: $o).
% 0.20/0.31 thf(decl_82, type, upairsetIL: $o).
% 0.20/0.31 thf(decl_83, type, upairsetIR: $o).
% 0.20/0.31 thf(decl_84, type, emptyE1: $o).
% 0.20/0.31 thf(decl_85, type, vacuousDall: $o).
% 0.20/0.31 thf(decl_86, type, quantDeMorgan1: $o).
% 0.20/0.31 thf(decl_87, type, quantDeMorgan2: $o).
% 0.20/0.31 thf(decl_88, type, quantDeMorgan3: $o).
% 0.20/0.31 thf(decl_89, type, quantDeMorgan4: $o).
% 0.20/0.31 thf(decl_90, type, prop2setI: $o).
% 0.20/0.31 thf(decl_91, type, set2prop: $i > $o).
% 0.20/0.31 thf(decl_92, type, prop2set2propI: $o).
% 0.20/0.31 thf(decl_93, type, notdexE: $o).
% 0.20/0.31 thf(decl_94, type, notdallE: $o).
% 0.20/0.31 thf(decl_95, type, exuI1: $o).
% 0.20/0.31 thf(decl_96, type, exuI3: $o).
% 0.20/0.31 thf(decl_97, type, exuI2: $o).
% 0.20/0.31 thf(decl_98, type, inCongP: $o).
% 0.20/0.31 thf(decl_99, type, in__Cong: $o).
% 0.20/0.31 thf(decl_100, type, exuE3u: $o).
% 0.20/0.31 thf(decl_101, type, exu__Cong: $o).
% 0.20/0.31 thf(decl_102, type, emptyset__Cong: $o).
% 0.20/0.31 thf(decl_103, type, setadjoin__Cong: $o).
% 0.20/0.31 thf(decl_104, type, powerset__Cong: $o).
% 0.20/0.31 thf(decl_105, type, setunion__Cong: $o).
% 0.20/0.31 thf(decl_106, type, omega__Cong: $o).
% 0.20/0.31 thf(decl_107, type, exuEu: $o).
% 0.20/0.31 thf(decl_108, type, descr__Cong: $o).
% 0.20/0.31 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.20/0.31 thf(decl_110, type, subset: $i > $i > $o).
% 0.20/0.31 thf(decl_113, type, subsetI1: $o).
% 0.20/0.31 thf(decl_114, type, eqimpsubset2: $o).
% 0.20/0.31 thf(decl_115, type, eqimpsubset1: $o).
% 0.20/0.31 thf(decl_116, type, subsetI2: $o).
% 0.20/0.31 thf(decl_117, type, emptysetsubset: $o).
% 0.20/0.31 thf(decl_118, type, subsetE: $o).
% 0.20/0.31 thf(decl_119, type, subsetE2: $o).
% 0.20/0.31 thf(decl_120, type, notsubsetI: $o).
% 0.20/0.31 thf(decl_121, type, notequalI1: $o).
% 0.20/0.31 thf(decl_122, type, notequalI2: $o).
% 0.20/0.31 thf(decl_123, type, subsetRefl: $o).
% 0.20/0.31 thf(decl_124, type, subsetTrans: $o).
% 0.20/0.31 thf(decl_125, type, setadjoinSub: $o).
% 0.20/0.31 thf(decl_126, type, setadjoinSub2: $o).
% 0.20/0.31 thf(decl_127, type, epred1_0: $o).
% 0.20/0.31 thf(decl_128, type, esk1_2: $i > $i > $i).
% 0.20/0.31 thf(decl_129, type, esk2_2: $i > $i > $i).
% 0.20/0.31 thf(decl_130, type, esk3_2: $i > $i > $i).
% 0.20/0.31 thf(decl_131, type, esk4_1: $i > $i).
% 0.20/0.31 thf(decl_132, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.20/0.31 thf(decl_133, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.20/0.31 thf(decl_134, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.20/0.31 thf(decl_135, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.20/0.31 thf(decl_136, type, esk9_1: $i > $i).
% 0.20/0.31 thf(decl_137, type, esk10_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_138, type, esk11_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_139, type, esk12_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_140, type, esk13_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_141, type, esk14_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_142, type, esk15_2: $i > $i > $i).
% 0.20/0.31 thf(decl_143, type, esk16_2: $i > $i > $i).
% 0.20/0.31 thf(decl_144, type, esk17_1: $i > $i).
% 0.20/0.31 thf(decl_145, type, esk18_1: $i > $i).
% 0.20/0.31 thf(decl_146, type, esk19_1: $i > $i).
% 0.20/0.31 thf(decl_147, type, esk20_2: $i > $i > $i).
% 0.20/0.31 thf(decl_148, type, esk21_3: $i > $i > $o > $i).
% 0.20/0.31 thf(decl_149, type, esk22_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_150, type, esk23_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_151, type, esk24_1: $i > $i).
% 0.20/0.31 thf(decl_152, type, esk25_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_153, type, esk26_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_154, type, esk27_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_155, type, esk28_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_156, type, esk29_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_157, type, esk30_2: $i > ($i > $o) > $i).
% 0.20/0.31 thf(decl_158, type, esk31_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_159, type, esk32_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_160, type, esk33_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_161, type, esk34_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_162, type, esk35_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_163, type, esk36_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_164, type, esk37_1: ($i > $o) > $i).
% 0.20/0.31 thf(decl_165, type, esk38_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_166, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_167, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_168, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_169, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_170, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_171, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_172, type, esk45_2: ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_173, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_174, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_175, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_176, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.31 thf(decl_177, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_178, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.20/0.31 thf(decl_179, type, esk52_2: $i > $i > $i).
% 0.20/0.31 thf(decl_180, type, esk53_2: $i > $i > $i).
% 0.20/0.31 thf(decl_181, type, esk54_0: $i).
% 0.20/0.31 thf(decl_182, type, esk55_0: $i).
% 0.20/0.31 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', replAx)).
% 0.20/0.31 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exu)).
% 0.20/0.31 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', descrp)).
% 0.20/0.31 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuE1)).
% 0.20/0.31 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuE3e)).
% 0.20/0.31 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', nonempty)).
% 0.20/0.31 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', nonemptyI)).
% 0.20/0.31 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuE2)).
% 0.20/0.31 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.hm8fTR9o1U/E---3.1_2148378.p', exuI1)).
% 0.20/0.31 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuI3)).
% 0.20/0.31 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuI2)).
% 0.20/0.31 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.hm8fTR9o1U/E---3.1_2148378.p', exuE3u)).
% 0.20/0.31 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exu__Cong)).
% 0.20/0.31 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', exuEu)).
% 0.20/0.31 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', descr__Cong)).
% 0.20/0.31 thf(subset2powerset, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subset2powerset)).
% 0.20/0.31 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', dsetconstrI)).
% 0.20/0.31 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', dsetconstrEL)).
% 0.20/0.31 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', dsetconstrER)).
% 0.20/0.31 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setbeta)).
% 0.20/0.31 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', nonemptyE1)).
% 0.20/0.31 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', nonemptyI1)).
% 0.20/0.31 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setoftrueEq)).
% 0.20/0.31 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', nonemptyImpWitness)).
% 0.20/0.31 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.hm8fTR9o1U/E---3.1_2148378.p', emptyE1)).
% 0.20/0.31 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', dsetconstr__Cong)).
% 0.20/0.31 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setextAx)).
% 0.20/0.31 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptysetAx)).
% 0.20/0.31 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinAx)).
% 0.20/0.31 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', powersetAx)).
% 0.20/0.31 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setunionAx)).
% 0.20/0.31 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', omega0Ax)).
% 0.20/0.31 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', omegaSAx)).
% 0.20/0.31 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.hm8fTR9o1U/E---3.1_2148378.p', omegaIndAx)).
% 0.20/0.31 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.hm8fTR9o1U/E---3.1_2148378.p', foundationAx)).
% 0.20/0.31 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', wellorderingAx)).
% 0.20/0.31 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', prop2setE)).
% 0.20/0.31 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptysetE)).
% 0.20/0.31 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptysetimpfalse)).
% 0.20/0.31 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notinemptyset)).
% 0.20/0.31 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.hm8fTR9o1U/E---3.1_2148378.p', setext)).
% 0.20/0.31 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptyI)).
% 0.20/0.31 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', noeltsimpempty)).
% 0.20/0.31 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinIL)).
% 0.20/0.31 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptyinunitempty)).
% 0.20/0.31 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinIR)).
% 0.20/0.31 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinE)).
% 0.20/0.31 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinOr)).
% 0.20/0.31 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', powersetI)).
% 0.20/0.31 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptyinPowerset)).
% 0.20/0.31 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptyInPowerset)).
% 0.20/0.31 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', powersetE)).
% 0.20/0.31 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setunionI)).
% 0.20/0.31 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setunionE)).
% 0.20/0.31 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subPowSU)).
% 0.20/0.31 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', uniqinunit)).
% 0.20/0.31 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notinsingleton)).
% 0.20/0.31 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', eqinunit)).
% 0.20/0.31 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', singletonsswitch)).
% 0.20/0.31 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', upairsetE)).
% 0.20/0.31 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', upairsetIL)).
% 0.20/0.31 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', upairsetIR)).
% 0.20/0.31 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', vacuousDall)).
% 0.20/0.31 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', quantDeMorgan1)).
% 0.20/0.31 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', quantDeMorgan2)).
% 0.20/0.31 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', quantDeMorgan3)).
% 0.20/0.31 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', quantDeMorgan4)).
% 0.20/0.31 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', prop2setI)).
% 0.20/0.31 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', prop2set2propI)).
% 0.20/0.31 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notdexE)).
% 0.20/0.31 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notdallE)).
% 0.20/0.31 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', inCongP)).
% 0.20/0.31 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', in__Cong)).
% 0.20/0.31 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptyset__Cong)).
% 0.20/0.31 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoin__Cong)).
% 0.20/0.31 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', powerset__Cong)).
% 0.20/0.31 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setunion__Cong)).
% 0.20/0.31 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', omega__Cong)).
% 0.20/0.31 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetI1)).
% 0.20/0.31 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', eqimpsubset2)).
% 0.20/0.31 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', eqimpsubset1)).
% 0.20/0.31 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetI2)).
% 0.20/0.31 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', emptysetsubset)).
% 0.20/0.31 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetE)).
% 0.20/0.31 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetE2)).
% 0.20/0.31 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notsubsetI)).
% 0.20/0.31 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notequalI1)).
% 0.20/0.31 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', notequalI2)).
% 0.20/0.31 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetRefl)).
% 0.20/0.31 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', subsetTrans)).
% 0.20/0.31 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinSub)).
% 0.20/0.31 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.hm8fTR9o1U/E---3.1_2148378.p', setadjoinSub2)).
% 0.20/0.31 thf(c_0_92, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.20/0.31 thf(c_0_93, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.20/0.31 thf(c_0_94, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.20/0.31 thf(c_0_95, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.20/0.31 thf(c_0_96, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.20/0.31 thf(c_0_97, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.20/0.32 thf(c_0_98, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.20/0.32 thf(c_0_99, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.20/0.32 thf(c_0_100, 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])).
% 0.20/0.32 thf(c_0_101, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.20/0.32 thf(c_0_102, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.20/0.32 thf(c_0_103, 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])).
% 0.20/0.32 thf(c_0_104, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.20/0.32 thf(c_0_105, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.20/0.32 thf(c_0_106, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.20/0.32 thf(c_0_107, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subset2powerset])).
% 0.20/0.32 thf(c_0_108, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X267:$i]:(((((X6 @ X2 @ X267)))&(![X268:$i]:(((((X6 @ X2 @ X268)))=>(((X267)=(X268)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_93])).
% 0.20/0.32 thf(c_0_109, plain, ((descrp)=(![X1:$i > $o]:((((?[X269:$i]:(((((X1 @ X269)))&(![X270:$i]:(((((X1 @ X270)))=>(((X269)=(X270))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_93])).
% 0.20/0.32 thf(c_0_110, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.20/0.32 thf(c_0_111, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.20/0.32 thf(c_0_112, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.20/0.32 thf(c_0_113, plain, ((exuE1)=(![X1:$i > $o]:((((?[X271:$i]:(((((X1 @ X271)))&(![X272:$i]:(((((X1 @ X272)))=>(((X271)=(X272))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_93])).
% 0.20/0.32 thf(c_0_114, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X273:$i]:(((((X1 @ X273)))&(![X274:$i]:(((((X1 @ X274)))=>(((X273)=(X274))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_93])).
% 0.20/0.32 thf(c_0_115, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.20/0.32 thf(c_0_116, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_97])).
% 0.20/0.32 thf(c_0_117, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_97])).
% 0.20/0.32 thf(c_0_118, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_97])).
% 0.20/0.32 thf(c_0_119, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.20/0.32 thf(c_0_120, plain, ((exuE2)=(![X1:$i > $o]:((((?[X275:$i]:(((((X1 @ X275)))&(![X276:$i]:(((((X1 @ X276)))=>(((X275)=(X276))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_93])).
% 0.20/0.32 thf(c_0_121, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_97])).
% 0.20/0.32 thf(c_0_122, 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])).
% 0.20/0.32 thf(c_0_123, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X277:$i]:(((((X1 @ X277)))&(![X278:$i]:(((((X1 @ X278)))=>(((X277)=(X278)))))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_93])).
% 0.20/0.32 thf(c_0_124, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X279:$i]:(((((X1 @ X279)))&(![X280:$i]:(((((X1 @ X280)))=>(((X279)=(X280)))))))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_93])).
% 0.20/0.32 thf(c_0_125, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X281:$i]:(((((X1 @ X281)))&(![X282:$i]:(((((X1 @ X282)))=>(((X281)=(X282)))))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_93])).
% 0.20/0.32 thf(c_0_126, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X283:$i]:(((((X1 @ X283)))&(![X284:$i]:(((((X1 @ X284)))=>(((X283)=(X284))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_93])).
% 0.20/0.32 thf(c_0_127, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X285:$i]:(((((X1 @ X285)))&(![X286:$i]:(((((X1 @ X286)))=>(((X285)=(X286))))))))))<=>((?[X287:$i]:(((((X17 @ X287)))&(![X288:$i]:(((((X17 @ X288)))=>(((X287)=(X288)))))))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_93])).
% 0.20/0.32 thf(c_0_128, plain, ((exuEu)=(![X1:$i > $o]:((((?[X289:$i]:(((((X1 @ X289)))&(![X290:$i]:(((((X1 @ X290)))=>(((X289)=(X290))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_93])).
% 0.20/0.32 thf(c_0_129, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X291:$i]:(((((X1 @ X291)))&(![X292:$i]:(((((X1 @ X292)))=>(((X291)=(X292))))))))))=>((((?[X293:$i]:(((((X17 @ X293)))&(![X294:$i]:(((((X17 @ X294)))=>(((X293)=(X294))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_93])).
% 0.20/0.32 thf(c_0_130, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.20/0.32 thf(c_0_131, plain, ((epred1_0)<=>![X324:$i]:(?[X325:$i]:((((![X326:$i]:(((in @ X326 @ X325)=>![X327:$i]:(((in @ X327 @ X326)=>(in @ X327 @ X324)))))&![X328:$i, X329:$i]:((((in @ X328 @ X324)&(in @ X329 @ X324))=>(![X330:$i]:(((in @ X330 @ X325)=>((in @ X328 @ X330)<=>(in @ X329 @ X330))))=>((X328)=(X329))))))&![X331:$i, X332:$i]:((((in @ X331 @ X325)&(in @ X332 @ X325))=>(![X333:$i]:(((in @ X333 @ X331)=>(in @ X333 @ X332)))|![X334:$i]:(((in @ X334 @ X332)=>(in @ X334 @ X331)))))))&![X335:$i]:(((![X336:$i]:(((in @ X336 @ X335)=>(in @ X336 @ X324)))&?[X337:$i]:((in @ X337 @ X335)))=>?[X338:$i, X339:$i]:(((((in @ X338 @ X325)&(in @ X339 @ X335))&~(?[X340:$i]:(((in @ X340 @ X338)&(in @ X340 @ X335)))))&![X341:$i]:(((in @ X341 @ X325)=>(![X342:$i]:(((in @ X342 @ X341)=>(in @ X342 @ X338)))|(in @ X339 @ X341)))))))))))), introduced(definition)).
% 0.20/0.32 thf(c_0_132, negated_conjecture, ~((![X295:$i, X296:$i]:((![X297:$i]:(((in @ X297 @ X295)<=>(in @ X297 @ X296)))=>((X295)=(X296))))=>(![X298:$i]:(~(in @ X298 @ emptyset))=>(![X299:$i, X300:$i, X301:$i]:(((in @ X301 @ (setadjoin @ X299 @ X300))<=>(((X301)=(X299))|(in @ X301 @ X300))))=>(![X302:$i, X303:$i]:(((in @ X303 @ (powerset @ X302))<=>![X304:$i]:(((in @ X304 @ X303)=>(in @ X304 @ X302)))))=>(![X305:$i, X306:$i]:(((in @ X306 @ (setunion @ X305))<=>?[X307:$i]:(((in @ X306 @ X307)&(in @ X307 @ X305)))))=>((in @ emptyset @ omega)=>(![X308:$i]:(((in @ X308 @ omega)=>(in @ (setadjoin @ X308 @ X308) @ omega)))=>(![X309:$i]:((((in @ emptyset @ X309)&![X310:$i]:((((in @ X310 @ omega)&(in @ X310 @ X309))=>(in @ (setadjoin @ X310 @ X310) @ X309))))=>![X311:$i]:(((in @ X311 @ omega)=>(in @ X311 @ X309)))))=>(![X312:$i > $i > $o, X313:$i]:((![X314:$i]:(((in @ X314 @ X313)=>?[X315:$i]:(((X312 @ X314 @ X315)&![X316:$i]:(((X312 @ X314 @ X316)=>((X315)=(X316))))))))=>?[X317:$i]:(![X318:$i]:(((in @ X318 @ X317)<=>?[X319:$i]:(((in @ X319 @ X313)&(X312 @ X319 @ X318))))))))=>(![X320:$i]:((?[X321:$i]:((in @ X321 @ X320))=>?[X322:$i]:(((in @ X322 @ X320)&~(?[X323:$i]:(((in @ X323 @ X322)&(in @ X323 @ X320))))))))=>((epred1_0)=>(![X343:$i > $o]:((?[X344:$i]:(((X343 @ X344)&![X345:$i]:(((X343 @ X345)=>((X344)=(X345))))))=>(X343 @ (descr @ (^[Z0:$i]:(X343 @ Z0))))))=>(![X346:$i, X347:$i > $o, X348:$i]:(((in @ X348 @ X346)=>((X347 @ X348)=>(in @ X348 @ (dsetconstr @ X346 @ X347)))))=>(![X349:$i, X350:$i > $o, X351:$i]:(((in @ X351 @ (dsetconstr @ X349 @ X350))=>(in @ X351 @ X349)))=>(![X352:$i, X353:$i > $o, X354:$i]:(((in @ X354 @ (dsetconstr @ X352 @ X353))=>(X353 @ X354)))=>(![X355:$i > $o]:((?[X356:$i]:(((X355 @ X356)&![X357:$i]:(((X355 @ X357)=>((X356)=(X357))))))=>?[X358:$i]:(((X355 @ X358)&![X359:$i]:(((X355 @ X359)=>((X358)=(X359))))))))=>(![X360:$o, X361:$i]:(((in @ X361 @ (prop2set @ ((X360))))=>(X360)))=>(![X362:$i]:(((in @ X362 @ emptyset)=>![X363:$o]:((X363))))=>(![X364:$i]:(((in @ X364 @ emptyset)=>~($true)))=>(![X365:$i]:(~(in @ X365 @ emptyset))=>(![X366:$i > $o]:((?[X367:$i]:(((X366 @ X367)&![X368:$i]:(((X366 @ X368)=>((X367)=(X368))))))=>?[X369:$i]:((X366 @ X369))))=>(![X370:$i, X371:$i]:((![X372:$i]:(((in @ X372 @ X370)=>(in @ X372 @ X371)))=>(![X373:$i]:(((in @ X373 @ X371)=>(in @ X373 @ X370)))=>((X370)=(X371)))))=>(![X374:$i]:((![X375:$i]:(~(in @ X375 @ X374))=>((X374)=(emptyset))))=>(![X376:$i]:((![X377:$i]:(~(in @ X377 @ X376))=>((X376)=(emptyset))))=>(![X378:$i, X379:$i > $o, X380:$i]:(((in @ X380 @ X378)=>((in @ X380 @ (dsetconstr @ X378 @ X379))<=>(X379 @ X380))))=>(![X381:$i]:((((X381)!=(emptyset))=>?[X382:$i]:((in @ X382 @ X381))))=>(![X383:$i, X384:$i > $o, X385:$i]:(((in @ X385 @ X383)=>((X384 @ X385)=>((dsetconstr @ X383 @ X384)!=(emptyset)))))=>(![X386:$i]:((?[X387:$i]:((in @ X387 @ X386))=>((X386)!=(emptyset))))=>(![X388:$i, X389:$i]:((in @ X388 @ (setadjoin @ X388 @ X389)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X390:$i, X391:$i, X392:$i]:(((in @ X392 @ X391)=>(in @ X392 @ (setadjoin @ X390 @ X391))))=>(![X393:$i, X394:$i, X395:$i]:(((in @ X395 @ (setadjoin @ X393 @ X394))=>![X396:$o]:(((((X395)=(X393))=>(X396))=>(((in @ X395 @ X394)=>(X396))=>(X396))))))=>(![X397:$i, X398:$i, X399:$i]:(((in @ X399 @ (setadjoin @ X397 @ X398))=>(((X399)=(X397))|(in @ X399 @ X398))))=>(![X400:$i]:(((dsetconstr @ X400 @ (^[Z0:$i]:($true)))=(X400)))=>(![X401:$i, X402:$i]:((![X403:$i]:(((in @ X403 @ X402)=>(in @ X403 @ X401)))=>(in @ X402 @ (powerset @ X401))))=>(![X404:$i]:((in @ emptyset @ (powerset @ X404)))=>(![X405:$i]:((in @ emptyset @ (powerset @ X405)))=>(![X406:$i, X407:$i, X408:$i]:(((in @ X407 @ (powerset @ X406))=>((in @ X408 @ X407)=>(in @ X408 @ X406))))=>(![X409:$i, X410:$i, X411:$i]:(((in @ X410 @ X411)=>((in @ X411 @ X409)=>(in @ X410 @ (setunion @ X409)))))=>(![X412:$i, X413:$i]:(((in @ X413 @ (setunion @ X412))=>![X414:$o]:((![X415:$i]:(((in @ X413 @ X415)=>((in @ X415 @ X412)=>(X414))))=>(X414)))))=>(![X416:$i, X417:$i]:(((in @ X417 @ X416)=>(in @ X417 @ (powerset @ (setunion @ X416)))))=>(![X418:$i > $o]:((?[X419:$i]:(((X418 @ X419)&![X420:$i]:(((X418 @ X420)=>((X419)=(X420))))))=>?[X421:$i]:(![X422:$i]:(((X418 @ X422)<=>((X422)=(X421)))))))=>(![X423:$i]:((((X423)!=(emptyset))=>?[X424:$i]:(((in @ X424 @ X423)&$true))))=>(![X425:$i, X426:$i]:(((in @ X425 @ (setadjoin @ X426 @ emptyset))=>((X425)=(X426))))=>(![X427:$i, X428:$i]:((((X427)!=(X428))=>~(in @ X428 @ (setadjoin @ X427 @ emptyset))))=>(![X429:$i, X430:$i]:((((X429)=(X430))=>(in @ X429 @ (setadjoin @ X430 @ emptyset))))=>(![X431:$i, X432:$i]:(((in @ X431 @ (setadjoin @ X432 @ emptyset))=>(in @ X432 @ (setadjoin @ X431 @ emptyset))))=>(![X433:$i, X434:$i, X435:$i]:(((in @ X435 @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset)))=>(((X435)=(X433))|((X435)=(X434)))))=>(![X436:$i, X437:$i]:((in @ X436 @ (setadjoin @ X436 @ (setadjoin @ X437 @ emptyset))))=>(![X438:$i, X439:$i]:((in @ X439 @ (setadjoin @ X438 @ (setadjoin @ X439 @ emptyset))))=>(![X440:$i, X441:$i > $o]:((?[X442:$i]:(((in @ X442 @ X440)&(X441 @ X442)))=>(((dsetconstr @ X440 @ X441)=(emptyset))=>~($true))))=>(![X443:$i > $o, X444:$i]:(((in @ X444 @ emptyset)=>(X443 @ X444)))=>(![X445:$i, X446:$i > $o]:((~(![X447:$i]:(((in @ X447 @ X445)=>(X446 @ X447))))=>?[X448:$i]:(((in @ X448 @ X445)&~((X446 @ X448))))))=>(![X449:$i, X450:$i > $o]:((![X451:$i]:(((in @ X451 @ X449)=>~((X450 @ X451))))=>~(?[X452:$i]:(((in @ X452 @ X449)&(X450 @ X452))))))=>(![X453:$i, X454:$i > $o]:((~(?[X455:$i]:(((in @ X455 @ X453)&(X454 @ X455))))=>![X456:$i]:(((in @ X456 @ X453)=>~((X454 @ X456))))))=>(![X457:$i, X458:$i > $o]:((?[X459:$i]:(((in @ X459 @ X457)&~((X458 @ X459))))=>~(![X460:$i]:(((in @ X460 @ X457)=>(X458 @ X460))))))=>(![X461:$o]:(((X461)=>(in @ emptyset @ (prop2set @ ((X461))))))=>(![X462:$o]:(((X462)=>(set2prop @ (prop2set @ ((X462))))))=>(![X463:$i, X464:$i > $o]:((~(?[X465:$i]:(((in @ X465 @ X463)&(X464 @ X465))))=>![X466:$i]:(((in @ X466 @ X463)=>~((X464 @ X466))))))=>(![X467:$i, X468:$i > $o]:((~(![X469:$i]:(((in @ X469 @ X467)=>(X468 @ X469))))=>?[X470:$i]:(((in @ X470 @ X467)&~((X468 @ X470))))))=>(![X471:$i > $o]:((?[X472:$i]:(((X471 @ X472)&![X473:$i]:(((X471 @ X473)=>((X472)=(X473))))))=>?[X474:$i]:(((X471 @ X474)&![X475:$i]:(((X471 @ X475)=>((X474)=(X475))))))))=>(![X476:$i > $o]:((?[X477:$i]:((X476 @ X477))=>(![X478:$i, X479:$i]:(((X476 @ X478)=>((X476 @ X479)=>((X478)=(X479)))))=>?[X480:$i]:(((X476 @ X480)&![X481:$i]:(((X476 @ X481)=>((X480)=(X481)))))))))=>(![X482:$i > $o]:((?[X483:$i]:(![X484:$i]:(((X482 @ X484)<=>((X484)=(X483)))))=>?[X485:$i]:(((X482 @ X485)&![X486:$i]:(((X482 @ X486)=>((X485)=(X486))))))))=>(![X487:$i, X488:$i]:((((X487)=(X488))=>![X489:$i, X490:$i]:((((X489)=(X490))=>((in @ X489 @ X487)=>(in @ X490 @ X488))))))=>(![X491:$i, X492:$i]:((((X491)=(X492))=>![X493:$i, X494:$i]:((((X493)=(X494))=>((in @ X493 @ X491)<=>(in @ X494 @ X492))))))=>(![X495:$i > $o]:((?[X496:$i]:(((X495 @ X496)&![X497:$i]:(((X495 @ X497)=>((X496)=(X497))))))=>![X498:$i, X499:$i]:(((X495 @ X498)=>((X495 @ X499)=>((X498)=(X499)))))))=>(![X500:$i > $o, X501:$i > $o]:((![X502:$i, X503:$i]:((((X502)=(X503))=>((X500 @ X502)<=>(X501 @ X503))))=>(?[X504:$i]:(((X500 @ X504)&![X505:$i]:(((X500 @ X505)=>((X504)=(X505))))))<=>?[X506:$i]:(((X501 @ X506)&![X507:$i]:(((X501 @ X507)=>((X506)=(X507)))))))))=>(((emptyset)=(emptyset))=>(![X508:$i, X509:$i]:((((X508)=(X509))=>![X510:$i, X511:$i]:((((X510)=(X511))=>((setadjoin @ X508 @ X510)=(setadjoin @ X509 @ X511))))))=>(![X512:$i, X513:$i]:((((X512)=(X513))=>((powerset @ X512)=(powerset @ X513))))=>(![X514:$i, X515:$i]:((((X514)=(X515))=>((setunion @ X514)=(setunion @ X515))))=>(((omega)=(omega))=>(![X516:$i > $o]:((?[X517:$i]:(((X516 @ X517)&![X518:$i]:(((X516 @ X518)=>((X517)=(X518))))))=>![X519:$i, X520:$i]:(((X516 @ X519)=>((X516 @ X520)=>((X519)=(X520)))))))=>(![X521:$i > $o, X522:$i > $o]:((![X523:$i, X524:$i]:((((X523)=(X524))=>((X521 @ X523)<=>(X522 @ X524))))=>(?[X525:$i]:(((X521 @ X525)&![X526:$i]:(((X521 @ X526)=>((X525)=(X526))))))=>(?[X527:$i]:(((X522 @ X527)&![X528:$i]:(((X522 @ X528)=>((X527)=(X528))))))=>((descr @ X521)=(descr @ X522))))))=>(![X529:$i, X530:$i]:((((X529)=(X530))=>![X531:$i > $o, X532:$i > $o]:((![X533:$i]:(((in @ X533 @ X529)=>![X534:$i]:(((in @ X534 @ X530)=>(((X533)=(X534))=>((X531 @ X533)<=>(X532 @ X534)))))))=>((dsetconstr @ X529 @ X531)=(dsetconstr @ X530 @ X532))))))=>(![X535:$i, X536:$i]:((![X537:$i]:(((in @ X537 @ X535)=>(in @ X537 @ X536)))=>(subset @ X535 @ X536)))=>(![X538:$i, X539:$i]:((((X538)=(X539))=>(subset @ X539 @ X538)))=>(![X540:$i, X541:$i]:((((X540)=(X541))=>(subset @ X540 @ X541)))=>(![X542:$i, X543:$i]:((![X544:$i]:(((in @ X544 @ X542)=>(in @ X544 @ X543)))=>(subset @ X542 @ X543)))=>(![X545:$i]:((subset @ emptyset @ X545))=>(![X546:$i, X547:$i, X548:$i]:(((subset @ X546 @ X547)=>((in @ X548 @ X546)=>(in @ X548 @ X547))))=>(![X549:$i, X550:$i, X551:$i]:(((subset @ X549 @ X550)=>(~(in @ X551 @ X550)=>~(in @ X551 @ X549))))=>(![X552:$i, X553:$i, X554:$i]:(((in @ X554 @ X552)=>(~(in @ X554 @ X553)=>~(subset @ X552 @ X553))))=>(![X555:$i, X556:$i]:((~(subset @ X555 @ X556)=>((X555)!=(X556))))=>(![X557:$i, X558:$i, X559:$i]:(((in @ X559 @ X557)=>(~(in @ X559 @ X558)=>((X557)!=(X558)))))=>(![X560:$i]:((subset @ X560 @ X560))=>(![X561:$i, X562:$i, X563:$i]:(((subset @ X561 @ X562)=>((subset @ X562 @ X563)=>(subset @ X561 @ X563))))=>(![X564:$i, X565:$i]:((subset @ X565 @ (setadjoin @ X564 @ X565)))=>(![X566:$i, X567:$i, X568:$i]:(((subset @ X566 @ X568)=>(subset @ X566 @ (setadjoin @ X567 @ X568))))=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_107, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_108]), foundationAx]), wellorderingAx]), c_0_109]), c_0_110]), c_0_111]), c_0_112]), c_0_113]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_114]), setext]), emptyI]), noeltsimpempty]), c_0_115]), c_0_116]), c_0_117]), c_0_118]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_119]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_120]), c_0_121]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_122]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_123]), c_0_124]), c_0_125]), inCongP]), in__Cong]), c_0_126]), c_0_127]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_128]), c_0_129]), c_0_130]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2])])]), c_0_131])).
% 0.20/0.32 thf(c_0_133, negated_conjecture, ![X569:$i, X570:$i, X572:$i, X573:$i, X574:$i, X575:$i, X576:$i, X577:$i, X578:$i, X579:$i, X580:$i, X582:$i, X583:$i, X585:$i, X586:$i, X587:$i, X588:$i, X589:$i, X591:$i, X592:$i > $i > $o, X593:$i, X595:$i, X598:$i, X600:$i, X601:$i, X602:$i, X603:$i, X605:$i, X606:$i > $o, X607:$i, X609:$i, X610:$i > $o, X611:$i, X612:$i, X613:$i > $o, X614:$i, X615:$i, X616:$i > $o, X617:$i, X618:$i > $o, X619:$i, X622:$i, X623:$o, X624:$i, X625:$i, X626:$o, X627:$i, X628:$i, X629:$i > $o, X630:$i, X633:$i, X634:$i, X637:$i, X639:$i, X641:$i, X642:$i > $o, X643:$i, X644:$i, X646:$i, X647:$i > $o, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$o, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$o, X679:$i, X680:$i, X681:$i > $o, X682:$i, X685:$i, X686:$i, X687:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i > $o, X706:$i, X707:$i > $o, X708:$i, X709:$i, X710:$i > $o, X711:$i, X713:$i, X714:$i > $o, X716:$i, X717:$i, X718:$i > $o, X720:$i, X721:$i, X722:$i > $o, X723:$i, X725:$o, X726:$o, X727:$i, X728:$i > $o, X730:$i, X731:$i, X732:$i > $o, X733:$i, X735:$i > $o, X736:$i, X739:$i, X740:$i > $o, X741:$i, X745:$i, X746:$i > $o, X747:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i > $o, X760:$i, X762:$i, X763:$i, X764:$i > $o, X765:$i > $o, X768:$i, X771:$i, X772:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i > $o, X785:$i, X787:$i, X788:$i, X789:$i > $o, X790:$i > $o, X793:$i, X795:$i, X797:$i, X798:$i, X799:$i > $o, X800:$i > $o, X803:$i, X804:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X813:$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, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i]:((((~(in @ (esk1_2 @ X569 @ X570) @ X569)|~(in @ (esk1_2 @ X569 @ X570) @ X570)|((X569)=(X570)))&((in @ (esk1_2 @ X569 @ X570) @ X569)|(in @ (esk1_2 @ X569 @ X570) @ X570)|((X569)=(X570))))&(~(in @ X572 @ emptyset)&(((~(in @ X575 @ (setadjoin @ X573 @ X574))|(((X575)=(X573))|(in @ X575 @ X574)))&((((X575)!=(X573))|(in @ X575 @ (setadjoin @ X573 @ X574)))&(~(in @ X575 @ X574)|(in @ X575 @ (setadjoin @ X573 @ X574)))))&(((~(in @ X577 @ (powerset @ X576))|(~(in @ X578 @ X577)|(in @ X578 @ X576)))&(((in @ (esk2_2 @ X579 @ X580) @ X580)|(in @ X580 @ (powerset @ X579)))&(~(in @ (esk2_2 @ X579 @ X580) @ X579)|(in @ X580 @ (powerset @ X579)))))&(((((in @ X583 @ (esk3_2 @ X582 @ X583))|~(in @ X583 @ (setunion @ X582)))&((in @ (esk3_2 @ X582 @ X583) @ X582)|~(in @ X583 @ (setunion @ X582))))&(~(in @ X586 @ X587)|~(in @ X587 @ X585)|(in @ X586 @ (setunion @ X585))))&((in @ emptyset @ omega)&((~(in @ X588 @ omega)|(in @ (setadjoin @ X588 @ X588) @ omega))&(((((in @ (esk4_1 @ X589) @ omega)|~(in @ emptyset @ X589)|(~(in @ X591 @ omega)|(in @ X591 @ X589)))&((in @ (esk4_1 @ X589) @ X589)|~(in @ emptyset @ X589)|(~(in @ X591 @ omega)|(in @ X591 @ X589))))&(~(in @ (setadjoin @ (esk4_1 @ X589) @ (esk4_1 @ X589)) @ X589)|~(in @ emptyset @ X589)|(~(in @ X591 @ omega)|(in @ X591 @ X589))))&((((((in @ (esk8_3 @ X592 @ X593 @ X598) @ X593)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|(in @ (esk5_2 @ X592 @ X593) @ X593))&((X592 @ (esk8_3 @ X592 @ X593 @ X598) @ X598)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|(in @ (esk5_2 @ X592 @ X593) @ X593)))&(~(in @ X601 @ X593)|~(X592 @ X601 @ X600)|(in @ X600 @ (esk7_2 @ X592 @ X593))|(in @ (esk5_2 @ X592 @ X593) @ X593)))&(((((in @ (esk8_3 @ X592 @ X593 @ X598) @ X593)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|((X592 @ (esk5_2 @ X592 @ X593) @ (esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595)))&((X592 @ (esk8_3 @ X592 @ X593 @ X598) @ X598)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|((X592 @ (esk5_2 @ X592 @ X593) @ (esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595))))&(~(in @ X601 @ X593)|~(X592 @ X601 @ X600)|(in @ X600 @ (esk7_2 @ X592 @ X593))|((X592 @ (esk5_2 @ X592 @ X593) @ (esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595))))&((((in @ (esk8_3 @ X592 @ X593 @ X598) @ X593)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|(((X595)!=(esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595)))&((X592 @ (esk8_3 @ X592 @ X593 @ X598) @ X598)|~(in @ X598 @ (esk7_2 @ X592 @ X593))|(((X595)!=(esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595))))&(~(in @ X601 @ X593)|~(X592 @ X601 @ X600)|(in @ X600 @ (esk7_2 @ X592 @ X593))|(((X595)!=(esk6_3 @ X592 @ X593 @ X595))|~(X592 @ (esk5_2 @ X592 @ X593) @ X595))))))&((((in @ (esk9_1 @ X602) @ X602)|~(in @ X603 @ X602))&(~(in @ X605 @ (esk9_1 @ X602))|~(in @ X605 @ X602)|~(in @ X603 @ X602)))&((epred1_0)&((((X606 @ (esk10_2 @ X606 @ X607))|~(X606 @ X607)|(X606 @ (descr @ X606)))&(((X607)!=(esk10_2 @ X606 @ X607))|~(X606 @ X607)|(X606 @ (descr @ X606))))&((~(in @ X611 @ X609)|(~(X610 @ X611)|(in @ X611 @ (dsetconstr @ X609 @ X610))))&((~(in @ X614 @ (dsetconstr @ X612 @ X613))|(in @ X614 @ X612))&((~(in @ X617 @ (dsetconstr @ X615 @ X616))|(X616 @ X617))&(((((X618 @ (esk12_1 @ X618))|((X618 @ (esk11_2 @ X618 @ X619))|~(X618 @ X619)))&(~(X618 @ X622)|((esk12_1 @ X618)=(X622))|((X618 @ (esk11_2 @ X618 @ X619))|~(X618 @ X619))))&(((X618 @ (esk12_1 @ X618))|(((X619)!=(esk11_2 @ X618 @ X619))|~(X618 @ X619)))&(~(X618 @ X622)|((esk12_1 @ X618)=(X622))|(((X619)!=(esk11_2 @ X618 @ X619))|~(X618 @ X619)))))&((~(in @ X624 @ (prop2set @ ((X623))))|(X623))&((~(in @ X625 @ emptyset)|(X626))&((~(in @ X627 @ emptyset)|~($true))&(~(in @ X628 @ emptyset)&((((X629 @ (esk13_2 @ X629 @ X630))|~(X629 @ X630)|(X629 @ (esk14_1 @ X629)))&(((X630)!=(esk13_2 @ X629 @ X630))|~(X629 @ X630)|(X629 @ (esk14_1 @ X629))))&(((((in @ (esk16_2 @ X633 @ X634) @ X634)|((X633)=(X634))|(in @ (esk15_2 @ X633 @ X634) @ X633))&(~(in @ (esk16_2 @ X633 @ X634) @ X633)|((X633)=(X634))|(in @ (esk15_2 @ X633 @ X634) @ X633)))&(((in @ (esk16_2 @ X633 @ X634) @ X634)|((X633)=(X634))|~(in @ (esk15_2 @ X633 @ X634) @ X634))&(~(in @ (esk16_2 @ X633 @ X634) @ X633)|((X633)=(X634))|~(in @ (esk15_2 @ X633 @ X634) @ X634))))&(((in @ (esk17_1 @ X637) @ X637)|((X637)=(emptyset)))&(((in @ (esk18_1 @ X639) @ X639)|((X639)=(emptyset)))&(((~(in @ X643 @ (dsetconstr @ X641 @ X642))|(X642 @ X643)|~(in @ X643 @ X641))&(~(X642 @ X643)|(in @ X643 @ (dsetconstr @ X641 @ X642))|~(in @ X643 @ X641)))&((((X644)=(emptyset))|(in @ (esk19_1 @ X644) @ X644))&((~(in @ X648 @ X646)|(~(X647 @ X648)|((dsetconstr @ X646 @ X647)!=(emptyset))))&((~(in @ X650 @ X649)|((X649)!=(emptyset)))&((in @ X651 @ (setadjoin @ X651 @ X652))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X655 @ X654)|(in @ X655 @ (setadjoin @ X653 @ X654)))&(((((in @ X658 @ X657)|(X659)|((X658)=(X656))|~(in @ X658 @ (setadjoin @ X656 @ X657)))&(~(X659)|(X659)|((X658)=(X656))|~(in @ X658 @ (setadjoin @ X656 @ X657))))&(((in @ X658 @ X657)|(X659)|~(X659)|~(in @ X658 @ (setadjoin @ X656 @ X657)))&(~(X659)|(X659)|~(X659)|~(in @ X658 @ (setadjoin @ X656 @ X657)))))&((~(in @ X662 @ (setadjoin @ X660 @ X661))|(((X662)=(X660))|(in @ X662 @ X661)))&(((dsetconstr @ X663 @ (^[Z0:$i]:($true)))=(X663))&((((in @ (esk20_2 @ X664 @ X665) @ X665)|(in @ X665 @ (powerset @ X664)))&(~(in @ (esk20_2 @ X664 @ X665) @ X664)|(in @ X665 @ (powerset @ X664))))&((in @ emptyset @ (powerset @ X667))&((in @ emptyset @ (powerset @ X668))&((~(in @ X670 @ (powerset @ X669))|(~(in @ X671 @ X670)|(in @ X671 @ X669)))&((~(in @ X673 @ X674)|(~(in @ X674 @ X672)|(in @ X673 @ (setunion @ X672))))&((((in @ X676 @ (esk21_3 @ X675 @ X676 @ X677))|(X677)|~(in @ X676 @ (setunion @ X675)))&(((in @ (esk21_3 @ X675 @ X676 @ X677) @ X675)|(X677)|~(in @ X676 @ (setunion @ X675)))&(~(X677)|(X677)|~(in @ X676 @ (setunion @ X675)))))&((~(in @ X680 @ X679)|(in @ X680 @ (powerset @ (setunion @ X679))))&((((~(X681 @ X685)|((X685)=(esk23_1 @ X681))|((X681 @ (esk22_2 @ X681 @ X682))|~(X681 @ X682)))&(((X686)!=(esk23_1 @ X681))|(X681 @ X686)|((X681 @ (esk22_2 @ X681 @ X682))|~(X681 @ X682))))&((~(X681 @ X685)|((X685)=(esk23_1 @ X681))|(((X682)!=(esk22_2 @ X681 @ X682))|~(X681 @ X682)))&(((X686)!=(esk23_1 @ X681))|(X681 @ X686)|(((X682)!=(esk22_2 @ X681 @ X682))|~(X681 @ X682)))))&((((in @ (esk24_1 @ X687) @ X687)|((X687)=(emptyset)))&(($true)|((X687)=(emptyset))))&((~(in @ X689 @ (setadjoin @ X690 @ emptyset))|((X689)=(X690)))&((((X691)=(X692))|~(in @ X692 @ (setadjoin @ X691 @ emptyset)))&((((X693)!=(X694))|(in @ X693 @ (setadjoin @ X694 @ emptyset)))&((~(in @ X695 @ (setadjoin @ X696 @ emptyset))|(in @ X696 @ (setadjoin @ X695 @ emptyset)))&((~(in @ X699 @ (setadjoin @ X697 @ (setadjoin @ X698 @ emptyset)))|(((X699)=(X697))|((X699)=(X698))))&((in @ X700 @ (setadjoin @ X700 @ (setadjoin @ X701 @ emptyset)))&((in @ X703 @ (setadjoin @ X702 @ (setadjoin @ X703 @ emptyset)))&((~(in @ X706 @ X704)|~(X705 @ X706)|(((dsetconstr @ X704 @ X705)!=(emptyset))|~($true)))&((~(in @ X708 @ emptyset)|(X707 @ X708))&((((in @ (esk25_2 @ X709 @ X710) @ X709)|(~(in @ X711 @ X709)|(X710 @ X711)))&(~(X710 @ (esk25_2 @ X709 @ X710))|(~(in @ X711 @ X709)|(X710 @ X711))))&((((in @ (esk26_2 @ X713 @ X714) @ X713)|(~(in @ X716 @ X713)|~(X714 @ X716)))&((X714 @ (esk26_2 @ X713 @ X714))|(~(in @ X716 @ X713)|~(X714 @ X716))))&((((in @ (esk27_2 @ X717 @ X718) @ X717)|(~(in @ X720 @ X717)|~(X718 @ X720)))&((X718 @ (esk27_2 @ X717 @ X718))|(~(in @ X720 @ X717)|~(X718 @ X720))))&((((in @ (esk28_2 @ X721 @ X722) @ X721)|(~(in @ X723 @ X721)|(X722 @ X723)))&(~(X722 @ (esk28_2 @ X721 @ X722))|(~(in @ X723 @ X721)|(X722 @ X723))))&((~(X725)|(in @ emptyset @ (prop2set @ ((X725)))))&((~(X726)|(set2prop @ (prop2set @ ((X726)))))&((((in @ (esk29_2 @ X727 @ X728) @ X727)|(~(in @ X730 @ X727)|~(X728 @ X730)))&((X728 @ (esk29_2 @ X727 @ X728))|(~(in @ X730 @ X727)|~(X728 @ X730))))&((((in @ (esk30_2 @ X731 @ X732) @ X731)|(~(in @ X733 @ X731)|(X732 @ X733)))&(~(X732 @ (esk30_2 @ X731 @ X732))|(~(in @ X733 @ X731)|(X732 @ X733))))&(((((X735 @ (esk32_1 @ X735))|((X735 @ (esk31_2 @ X735 @ X736))|~(X735 @ X736)))&(~(X735 @ X739)|((esk32_1 @ X735)=(X739))|((X735 @ (esk31_2 @ X735 @ X736))|~(X735 @ X736))))&(((X735 @ (esk32_1 @ X735))|(((X736)!=(esk31_2 @ X735 @ X736))|~(X735 @ X736)))&(~(X735 @ X739)|((esk32_1 @ X735)=(X739))|(((X736)!=(esk31_2 @ X735 @ X736))|~(X735 @ X736)))))&(((((X740 @ (esk35_1 @ X740))|(X740 @ (esk33_1 @ X740))|~(X740 @ X741))&(~(X740 @ X745)|((esk35_1 @ X740)=(X745))|(X740 @ (esk33_1 @ X740))|~(X740 @ X741)))&((((X740 @ (esk35_1 @ X740))|(X740 @ (esk34_1 @ X740))|~(X740 @ X741))&(~(X740 @ X745)|((esk35_1 @ X740)=(X745))|(X740 @ (esk34_1 @ X740))|~(X740 @ X741)))&(((X740 @ (esk35_1 @ X740))|((esk33_1 @ X740)!=(esk34_1 @ X740))|~(X740 @ X741))&(~(X740 @ X745)|((esk35_1 @ X740)=(X745))|((esk33_1 @ X740)!=(esk34_1 @ X740))|~(X740 @ X741)))))&(((((X746 @ (esk37_1 @ X746))|(~(X746 @ (esk36_2 @ X746 @ X747))|((esk36_2 @ X746 @ X747)!=(X747))))&(~(X746 @ X750)|((esk37_1 @ X746)=(X750))|(~(X746 @ (esk36_2 @ X746 @ X747))|((esk36_2 @ X746 @ X747)!=(X747)))))&(((X746 @ (esk37_1 @ X746))|((X746 @ (esk36_2 @ X746 @ X747))|((esk36_2 @ X746 @ X747)=(X747))))&(~(X746 @ X750)|((esk37_1 @ X746)=(X750))|((X746 @ (esk36_2 @ X746 @ X747))|((esk36_2 @ X746 @ X747)=(X747))))))&((((X751)!=(X752))|(((X753)!=(X754))|(~(in @ X753 @ X751)|(in @ X754 @ X752))))&(((~(in @ X757 @ X755)|(in @ X758 @ X756)|((X757)!=(X758))|((X755)!=(X756)))&(~(in @ X758 @ X756)|(in @ X757 @ X755)|((X757)!=(X758))|((X755)!=(X756))))&((((X759 @ (esk38_2 @ X759 @ X760))|~(X759 @ X760)|(~(X759 @ X762)|(~(X759 @ X763)|((X762)=(X763)))))&(((X760)!=(esk38_2 @ X759 @ X760))|~(X759 @ X760)|(~(X759 @ X762)|(~(X759 @ X763)|((X762)=(X763))))))&(((((((X765 @ (esk42_2 @ X764 @ X765))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765)))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765))))&(((X765 @ (esk42_2 @ X764 @ X765))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765)))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765)))))&((((X764 @ (esk44_2 @ X764 @ X765))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765)))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765))))&(((X764 @ (esk44_2 @ X764 @ X765))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765)))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((esk39_2 @ X764 @ X765)=(esk40_2 @ X764 @ X765))))))&((((((X765 @ (esk42_2 @ X764 @ X765))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765))))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765)))))&(((X765 @ (esk42_2 @ X764 @ X765))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765))))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765))))))&((((X764 @ (esk44_2 @ X764 @ X765))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765))))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765)))))&(((X764 @ (esk44_2 @ X764 @ X765))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765))))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|(~(X764 @ (esk39_2 @ X764 @ X765))|~(X765 @ (esk40_2 @ X764 @ X765)))))))&(((((X765 @ (esk42_2 @ X764 @ X765))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765))))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|((X764 @ (esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765)))))&(((X765 @ (esk42_2 @ X764 @ X765))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765))))&(~(X765 @ X771)|((esk42_2 @ X764 @ X765)=(X771))|(((X768)!=(esk41_3 @ X764 @ X765 @ X768))|~(X764 @ X768))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765))))))&((((X764 @ (esk44_2 @ X764 @ X765))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765))))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|((X765 @ (esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765)))))&(((X764 @ (esk44_2 @ X764 @ X765))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765))))&(~(X764 @ X775)|((esk44_2 @ X764 @ X765)=(X775))|(((X772)!=(esk43_3 @ X764 @ X765 @ X772))|~(X765 @ X772))|((X764 @ (esk39_2 @ X764 @ X765))|(X765 @ (esk40_2 @ X764 @ X765)))))))))&(((emptyset)=(emptyset))&((((X776)!=(X777))|(((X778)!=(X779))|((setadjoin @ X776 @ X778)=(setadjoin @ X777 @ X779))))&((((X780)!=(X781))|((powerset @ X780)=(powerset @ X781)))&((((X782)!=(X783))|((setunion @ X782)=(setunion @ X783)))&(((omega)=(omega))&((((X784 @ (esk45_2 @ X784 @ X785))|~(X784 @ X785)|(~(X784 @ X787)|(~(X784 @ X788)|((X787)=(X788)))))&(((X785)!=(esk45_2 @ X784 @ X785))|~(X784 @ X785)|(~(X784 @ X787)|(~(X784 @ X788)|((X787)=(X788))))))&((((((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk46_2 @ X789 @ X790)=(esk47_2 @ X789 @ X790)))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk46_2 @ X789 @ X790)=(esk47_2 @ X789 @ X790))))&(((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk46_2 @ X789 @ X790)=(esk47_2 @ X789 @ X790)))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk46_2 @ X789 @ X790)=(esk47_2 @ X789 @ X790)))))&(((((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk46_2 @ X789 @ X790))|~(X790 @ (esk47_2 @ X789 @ X790))))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk46_2 @ X789 @ X790))|~(X790 @ (esk47_2 @ X789 @ X790)))))&(((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk46_2 @ X789 @ X790))|~(X790 @ (esk47_2 @ X789 @ X790))))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk46_2 @ X789 @ X790))|~(X790 @ (esk47_2 @ X789 @ X790))))))&((((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk46_2 @ X789 @ X790))|(X790 @ (esk47_2 @ X789 @ X790))))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|((X789 @ (esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk46_2 @ X789 @ X790))|(X790 @ (esk47_2 @ X789 @ X790)))))&(((X790 @ (esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk46_2 @ X789 @ X790))|(X790 @ (esk47_2 @ X789 @ X790))))&(((X795)!=(esk49_3 @ X789 @ X790 @ X795))|~(X790 @ X795)|((descr @ X789)=(descr @ X790))|(((X793)!=(esk48_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk46_2 @ X789 @ X790))|(X790 @ (esk47_2 @ X789 @ X790))))))))&((((in @ (esk50_4 @ X797 @ X798 @ X799 @ X800) @ X797)|((dsetconstr @ X797 @ X799)=(dsetconstr @ X798 @ X800))|((X797)!=(X798)))&(((in @ (esk51_4 @ X797 @ X798 @ X799 @ X800) @ X798)|((dsetconstr @ X797 @ X799)=(dsetconstr @ X798 @ X800))|((X797)!=(X798)))&((((esk50_4 @ X797 @ X798 @ X799 @ X800)=(esk51_4 @ X797 @ X798 @ X799 @ X800))|((dsetconstr @ X797 @ X799)=(dsetconstr @ X798 @ X800))|((X797)!=(X798)))&((~(X799 @ (esk50_4 @ X797 @ X798 @ X799 @ X800))|~(X800 @ (esk51_4 @ X797 @ X798 @ X799 @ X800))|((dsetconstr @ X797 @ X799)=(dsetconstr @ X798 @ X800))|((X797)!=(X798)))&((X799 @ (esk50_4 @ X797 @ X798 @ X799 @ X800))|(X800 @ (esk51_4 @ X797 @ X798 @ X799 @ X800))|((dsetconstr @ X797 @ X799)=(dsetconstr @ X798 @ X800))|((X797)!=(X798)))))))&((((in @ (esk52_2 @ X803 @ X804) @ X803)|(subset @ X803 @ X804))&(~(in @ (esk52_2 @ X803 @ X804) @ X804)|(subset @ X803 @ X804)))&((((X806)!=(X807))|(subset @ X807 @ X806))&((((X808)!=(X809))|(subset @ X808 @ X809))&((((in @ (esk53_2 @ X810 @ X811) @ X810)|(subset @ X810 @ X811))&(~(in @ (esk53_2 @ X810 @ X811) @ X811)|(subset @ X810 @ X811)))&((subset @ emptyset @ X813)&((~(subset @ X814 @ X815)|(~(in @ X816 @ X814)|(in @ X816 @ X815)))&((~(subset @ X817 @ X818)|((in @ X819 @ X818)|~(in @ X819 @ X817)))&((~(in @ X822 @ X820)|((in @ X822 @ X821)|~(subset @ X820 @ X821)))&(((subset @ X823 @ X824)|((X823)!=(X824)))&((~(in @ X827 @ X825)|((in @ X827 @ X826)|((X825)!=(X826))))&((subset @ X828 @ X828)&((~(subset @ X829 @ X830)|(~(subset @ X830 @ X831)|(subset @ X829 @ X831)))&((subset @ X833 @ (setadjoin @ X832 @ X833))&((~(subset @ X834 @ X836)|(subset @ X834 @ (setadjoin @ X835 @ X836)))&((subset @ esk54_0 @ esk55_0)&~(in @ esk54_0 @ (powerset @ esk55_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_132])])])])])])])).
% 0.20/0.32 thf(c_0_134, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_133])).
% 0.20/0.32 thf(c_0_135, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_133])).
% 0.20/0.32 thf(c_0_136, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X3 @ (powerset @ X2))|~((in @ (esk2_2 @ X2 @ X3) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_133])).
% 0.20/0.32 thf(c_0_137, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk54_0)))), inference(spm,[status(thm)],[c_0_134, c_0_135])).
% 0.20/0.32 thf(c_0_138, negated_conjecture, ![X2:$i]:(((in @ X2 @ (powerset @ esk55_0))|~((in @ (esk2_2 @ esk55_0 @ X2) @ esk54_0)))), inference(spm,[status(thm)],[c_0_136, c_0_137])).
% 0.20/0.32 thf(c_0_139, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk2_2 @ X2 @ X3) @ X3)|(in @ X3 @ (powerset @ X2)))), inference(split_conjunct,[status(thm)],[c_0_133])).
% 0.20/0.32 thf(c_0_140, negated_conjecture, ~((in @ esk54_0 @ (powerset @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_133])).
% 0.20/0.32 thf(c_0_141, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_140]), ['proof']).
% 0.20/0.32 % SZS output end CNFRefutation
% 0.20/0.32 % Parsed axioms : 196
% 0.20/0.32 % Removed by relevancy pruning/SinE : 0
% 0.20/0.32 % Initial clauses : 305
% 0.20/0.32 % Removed in clause preprocessing : 118
% 0.20/0.32 % Initial clauses in saturation : 187
% 0.20/0.32 % Processed clauses : 241
% 0.20/0.32 % ...of these trivial : 3
% 0.20/0.32 % ...subsumed : 107
% 0.20/0.32 % ...remaining for further processing : 131
% 0.20/0.32 % Other redundant clauses eliminated : 8
% 0.20/0.32 % Clauses deleted for lack of memory : 0
% 0.20/0.32 % Backward-subsumed : 0
% 0.20/0.32 % Backward-rewritten : 4
% 0.20/0.32 % Generated clauses : 878
% 0.20/0.32 % ...of the previous two non-redundant : 805
% 0.20/0.32 % ...aggressively subsumed : 0
% 0.20/0.32 % Contextual simplify-reflections : 0
% 0.20/0.32 % Paramodulations : 870
% 0.20/0.32 % Factorizations : 0
% 0.20/0.32 % NegExts : 0
% 0.20/0.32 % Equation resolutions : 8
% 0.20/0.32 % Disequality decompositions : 0
% 0.20/0.32 % Total rewrite steps : 87
% 0.20/0.32 % ...of those cached : 61
% 0.20/0.32 % Propositional unsat checks : 0
% 0.20/0.32 % Propositional check models : 0
% 0.20/0.32 % Propositional check unsatisfiable : 0
% 0.20/0.32 % Propositional clauses : 0
% 0.20/0.32 % Propositional clauses after purity: 0
% 0.20/0.32 % Propositional unsat core size : 0
% 0.20/0.32 % Propositional preprocessing time : 0.000
% 0.20/0.32 % Propositional encoding time : 0.000
% 0.20/0.32 % Propositional solver time : 0.000
% 0.20/0.32 % Success case prop preproc time : 0.000
% 0.20/0.32 % Success case prop encoding time : 0.000
% 0.20/0.32 % Success case prop solver time : 0.000
% 0.20/0.32 % Current number of processed clauses : 120
% 0.20/0.32 % Positive orientable unit clauses : 20
% 0.20/0.32 % Positive unorientable unit clauses: 0
% 0.20/0.32 % Negative unit clauses : 2
% 0.20/0.32 % Non-unit-clauses : 98
% 0.20/0.32 % Current number of unprocessed clauses: 740
% 0.20/0.32 % ...number of literals in the above : 2201
% 0.20/0.32 % Current number of archived formulas : 0
% 0.20/0.32 % Current number of archived clauses : 4
% 0.20/0.32 % Clause-clause subsumption calls (NU) : 1708
% 0.20/0.32 % Rec. Clause-clause subsumption calls : 1498
% 0.20/0.32 % Non-unit clause-clause subsumptions : 87
% 0.20/0.32 % Unit Clause-clause subsumption calls : 66
% 0.20/0.32 % Rewrite failures with RHS unbound : 0
% 0.20/0.32 % BW rewrite match attempts : 12
% 0.20/0.32 % BW rewrite match successes : 3
% 0.20/0.32 % Condensation attempts : 0
% 0.20/0.32 % Condensation successes : 0
% 0.20/0.32 % Termbank termtop insertions : 37063
% 0.20/0.32 % Search garbage collected termcells : 10065
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.034 s
% 0.20/0.32 % System time : 0.011 s
% 0.20/0.32 % Total time : 0.045 s
% 0.20/0.32 % Maximum resident set size: 6132 pages
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.095 s
% 0.20/0.32 % System time : 0.032 s
% 0.20/0.32 % Total time : 0.127 s
% 0.20/0.32 % Maximum resident set size: 5120 pages
% 0.20/0.32 % E exiting
%------------------------------------------------------------------------------