%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU552^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:24:29 AM UTC 2026
% Result : Theorem 0.23s 0.30s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU552^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:52:27 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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.wA3lQw8cBb/E---3.1_625352.p
% 0.23/0.30 % Version: 3.5.1-ho
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % Starting sh5l with 300s (1) cores
% 0.23/0.30 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.30 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.30 % sh5l with pid 625378 completed with status 0
% 0.23/0.30 % Result found by sh5l
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % Starting sh5l with 300s (1) cores
% 0.23/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.30 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.30 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.23/0.30 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.30 % SubtermCWHack with pid 625381 completed with status 0
% 0.23/0.30 % Result found by SubtermCWHack
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % Starting sh5l with 300s (1) cores
% 0.23/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.30 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.30 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.23/0.30 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.30 % Preprocessing time : 0.004 s
% 0.23/0.30
% 0.23/0.30 % Proof found!
% 0.23/0.30 % SZS status Theorem
% 0.23/0.30 % SZS output start CNFRefutation
% 0.23/0.30 thf(decl_23, type, in: $i > $i > $o).
% 0.23/0.30 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.23/0.30 thf(decl_25, type, setextAx: $o).
% 0.23/0.30 thf(decl_26, type, emptyset: $i).
% 0.23/0.30 thf(decl_27, type, emptysetAx: $o).
% 0.23/0.30 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.23/0.30 thf(decl_29, type, setadjoinAx: $o).
% 0.23/0.30 thf(decl_30, type, powerset: $i > $i).
% 0.23/0.30 thf(decl_31, type, powersetAx: $o).
% 0.23/0.30 thf(decl_32, type, setunion: $i > $i).
% 0.23/0.30 thf(decl_33, type, setunionAx: $o).
% 0.23/0.30 thf(decl_34, type, omega: $i).
% 0.23/0.30 thf(decl_35, type, omega0Ax: $o).
% 0.23/0.30 thf(decl_36, type, omegaSAx: $o).
% 0.23/0.30 thf(decl_37, type, omegaIndAx: $o).
% 0.23/0.30 thf(decl_38, type, replAx: $o).
% 0.23/0.30 thf(decl_39, type, foundationAx: $o).
% 0.23/0.30 thf(decl_40, type, wellorderingAx: $o).
% 0.23/0.30 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.23/0.30 thf(decl_42, type, descrp: $o).
% 0.23/0.30 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_44, type, dsetconstrI: $o).
% 0.23/0.30 thf(decl_45, type, dsetconstrEL: $o).
% 0.23/0.30 thf(decl_46, type, dsetconstrER: $o).
% 0.23/0.30 thf(decl_47, type, exuE1: $o).
% 0.23/0.30 thf(decl_48, type, prop2set: $o > $i).
% 0.23/0.30 thf(decl_49, type, prop2setE: $o).
% 0.23/0.30 thf(decl_50, type, emptysetE: $o).
% 0.23/0.30 thf(decl_51, type, emptysetimpfalse: $o).
% 0.23/0.30 thf(decl_52, type, notinemptyset: $o).
% 0.23/0.30 thf(decl_53, type, exuE3e: $o).
% 0.23/0.30 thf(decl_54, type, setext: $o).
% 0.23/0.30 thf(decl_55, type, emptyI: $o).
% 0.23/0.30 thf(decl_56, type, noeltsimpempty: $o).
% 0.23/0.30 thf(decl_57, type, setbeta: $o).
% 0.23/0.30 thf(decl_58, type, nonempty: $i > $o).
% 0.23/0.30 thf(decl_59, type, nonemptyE1: $o).
% 0.23/0.30 thf(decl_60, type, nonemptyI: $o).
% 0.23/0.30 thf(decl_61, type, nonemptyI1: $o).
% 0.23/0.30 thf(decl_62, type, setadjoinIL: $o).
% 0.23/0.30 thf(decl_63, type, emptyinunitempty: $o).
% 0.23/0.30 thf(decl_64, type, setadjoinIR: $o).
% 0.23/0.30 thf(decl_65, type, setadjoinE: $o).
% 0.23/0.30 thf(decl_66, type, setadjoinOr: $o).
% 0.23/0.30 thf(decl_67, type, setoftrueEq: $o).
% 0.23/0.30 thf(decl_68, type, powersetI: $o).
% 0.23/0.30 thf(decl_69, type, emptyinPowerset: $o).
% 0.23/0.30 thf(decl_70, type, emptyInPowerset: $o).
% 0.23/0.30 thf(decl_71, type, powersetE: $o).
% 0.23/0.30 thf(decl_72, type, setunionI: $o).
% 0.23/0.30 thf(decl_73, type, setunionE: $o).
% 0.23/0.30 thf(decl_74, type, subPowSU: $o).
% 0.23/0.30 thf(decl_75, type, exuE2: $o).
% 0.23/0.30 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.23/0.30 thf(decl_77, type, uniqinunit: $o).
% 0.23/0.30 thf(decl_78, type, notinsingleton: $o).
% 0.23/0.30 thf(decl_79, type, eqinunit: $o).
% 0.23/0.30 thf(decl_80, type, singletonsswitch: $o).
% 0.23/0.30 thf(decl_81, type, upairsetE: $o).
% 0.23/0.30 thf(decl_82, type, upairsetIL: $o).
% 0.23/0.30 thf(decl_83, type, upairsetIR: $o).
% 0.23/0.30 thf(decl_84, type, emptyE1: $o).
% 0.23/0.30 thf(decl_85, type, vacuousDall: $o).
% 0.23/0.30 thf(decl_86, type, quantDeMorgan1: $o).
% 0.23/0.30 thf(decl_87, type, quantDeMorgan2: $o).
% 0.23/0.30 thf(decl_88, type, quantDeMorgan3: $o).
% 0.23/0.30 thf(decl_89, type, quantDeMorgan4: $o).
% 0.23/0.30 thf(decl_90, type, prop2setI: $o).
% 0.23/0.30 thf(decl_91, type, set2prop: $i > $o).
% 0.23/0.30 thf(decl_92, type, prop2set2propI: $o).
% 0.23/0.30 thf(decl_93, type, notdexE: $o).
% 0.23/0.30 thf(decl_94, type, notdallE: $o).
% 0.23/0.30 thf(decl_95, type, exuI1: $o).
% 0.23/0.30 thf(decl_96, type, exuI3: $o).
% 0.23/0.30 thf(decl_97, type, exuI2: $o).
% 0.23/0.30 thf(decl_98, type, inCongP: $o).
% 0.23/0.30 thf(decl_99, type, in__Cong: $o).
% 0.23/0.30 thf(decl_100, type, exuE3u: $o).
% 0.23/0.30 thf(decl_101, type, exu__Cong: $o).
% 0.23/0.30 thf(decl_102, type, emptyset__Cong: $o).
% 0.23/0.30 thf(decl_103, type, epred1_0: $o).
% 0.23/0.30 thf(decl_104, type, esk1_2: $i > $i > $i).
% 0.23/0.30 thf(decl_105, type, esk2_2: $i > $i > $i).
% 0.23/0.30 thf(decl_106, type, esk3_2: $i > $i > $i).
% 0.23/0.30 thf(decl_107, type, esk4_1: $i > $i).
% 0.23/0.30 thf(decl_108, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.23/0.30 thf(decl_109, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.30 thf(decl_110, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.23/0.30 thf(decl_111, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.30 thf(decl_112, type, esk9_1: $i > $i).
% 0.23/0.30 thf(decl_113, type, esk10_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_114, type, esk11_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_115, type, esk12_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_116, type, esk13_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_117, type, esk14_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_118, type, esk15_2: $i > $i > $i).
% 0.23/0.30 thf(decl_119, type, esk16_2: $i > $i > $i).
% 0.23/0.30 thf(decl_120, type, esk17_1: $i > $i).
% 0.23/0.30 thf(decl_121, type, esk18_1: $i > $i).
% 0.23/0.30 thf(decl_122, type, esk19_1: $i > $i).
% 0.23/0.30 thf(decl_123, type, esk20_2: $i > $i > $i).
% 0.23/0.30 thf(decl_124, type, esk21_3: $i > $i > $o > $i).
% 0.23/0.30 thf(decl_125, type, esk22_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_126, type, esk23_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_127, type, esk24_1: $i > $i).
% 0.23/0.30 thf(decl_128, type, esk25_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_129, type, esk26_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_130, type, esk27_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_131, type, esk28_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_132, type, esk29_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_133, type, esk30_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_134, type, esk31_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_135, type, esk32_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_136, type, esk33_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_137, type, esk34_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_138, type, esk35_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_139, type, esk36_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_140, type, esk37_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_141, type, esk38_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_142, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_143, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_144, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_145, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_146, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_147, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_148, type, esk45_0: $i).
% 0.23/0.30 thf(decl_149, type, esk46_0: $i).
% 0.23/0.30 thf(decl_150, type, esk47_0: $i).
% 0.23/0.30 thf(decl_151, type, esk48_0: $i).
% 0.23/0.30 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuI1)).
% 0.23/0.30 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exu)).
% 0.23/0.30 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', descrp)).
% 0.23/0.30 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuI3)).
% 0.23/0.30 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuI2)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', exuE3u)).
% 0.23/0.30 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exu__Cong)).
% 0.23/0.30 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuE1)).
% 0.23/0.30 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuE3e)).
% 0.23/0.30 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', nonempty)).
% 0.23/0.30 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', nonemptyI)).
% 0.23/0.30 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', exuE2)).
% 0.23/0.30 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', replAx)).
% 0.23/0.30 thf(setadjoin__Cong, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setadjoin__Cong)).
% 0.23/0.30 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', dsetconstrI)).
% 0.23/0.30 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setoftrueEq)).
% 0.23/0.30 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', dsetconstrER)).
% 0.23/0.30 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', dsetconstrEL)).
% 0.23/0.30 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', nonemptyI1)).
% 0.23/0.30 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', nonemptyE1)).
% 0.23/0.30 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setbeta)).
% 0.23/0.30 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', nonemptyImpWitness)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', emptyE1)).
% 0.23/0.30 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', notdexE)).
% 0.23/0.30 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', quantDeMorgan2)).
% 0.23/0.30 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', quantDeMorgan3)).
% 0.23/0.30 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', quantDeMorgan4)).
% 0.23/0.30 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', notdallE)).
% 0.23/0.30 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.wA3lQw8cBb/E---3.1_625352.p', wellorderingAx)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', foundationAx)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', inCongP)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', in__Cong)).
% 0.23/0.30 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptyset__Cong)).
% 0.23/0.30 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', powersetI)).
% 0.23/0.30 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', notinemptyset)).
% 0.23/0.30 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptysetimpfalse)).
% 0.23/0.30 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptysetE)).
% 0.23/0.30 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', prop2setE)).
% 0.23/0.30 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', noeltsimpempty)).
% 0.23/0.30 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptyI)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', setext)).
% 0.23/0.30 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setadjoinIL)).
% 0.23/0.30 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptyinPowerset)).
% 0.23/0.30 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setadjoinOr)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', setadjoinE)).
% 0.23/0.30 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setadjoinIR)).
% 0.23/0.30 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptyinunitempty)).
% 0.23/0.30 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptyInPowerset)).
% 0.23/0.30 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', uniqinunit)).
% 0.23/0.30 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', subPowSU)).
% 0.23/0.30 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.wA3lQw8cBb/E---3.1_625352.p', setunionE)).
% 0.23/0.30 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setunionI)).
% 0.23/0.30 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', powersetE)).
% 0.23/0.30 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', notinsingleton)).
% 0.23/0.30 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', vacuousDall)).
% 0.23/0.30 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', upairsetIR)).
% 0.23/0.30 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', upairsetIL)).
% 0.23/0.30 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', upairsetE)).
% 0.23/0.30 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', singletonsswitch)).
% 0.23/0.30 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', eqinunit)).
% 0.23/0.30 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', prop2setI)).
% 0.23/0.30 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', quantDeMorgan1)).
% 0.23/0.30 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', prop2set2propI)).
% 0.23/0.30 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', omegaIndAx)).
% 0.23/0.30 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', omegaSAx)).
% 0.23/0.30 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', omega0Ax)).
% 0.23/0.30 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setunionAx)).
% 0.23/0.30 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', powersetAx)).
% 0.23/0.30 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setadjoinAx)).
% 0.23/0.30 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', emptysetAx)).
% 0.23/0.30 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wA3lQw8cBb/E---3.1_625352.p', setextAx)).
% 0.23/0.30 thf(c_0_71, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.23/0.30 thf(c_0_72, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.23/0.30 thf(c_0_73, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.23/0.30 thf(c_0_74, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.23/0.30 thf(c_0_75, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.23/0.30 thf(c_0_76, 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])).
% 0.23/0.30 thf(c_0_77, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.23/0.30 thf(c_0_78, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.23/0.30 thf(c_0_79, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.23/0.30 thf(c_0_80, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.23/0.30 thf(c_0_81, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.23/0.30 thf(c_0_82, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.23/0.30 thf(c_0_83, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.23/0.30 thf(c_0_84, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoin__Cong])).
% 0.23/0.30 thf(c_0_85, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X224:$i]:(((((X1 @ X224)))&(![X225:$i]:(((((X1 @ X225)))=>(((X224)=(X225)))))))))))))), inference(apply_def,[status(thm)],[c_0_71, c_0_72])).
% 0.23/0.30 thf(c_0_86, plain, ((descrp)=(![X1:$i > $o]:((((?[X216:$i]:(((((X1 @ X216)))&(![X217:$i]:(((((X1 @ X217)))=>(((X216)=(X217))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_73, c_0_72])).
% 0.23/0.30 thf(c_0_87, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X226:$i]:(((((X1 @ X226)))&(![X227:$i]:(((((X1 @ X227)))=>(((X226)=(X227)))))))))))))))), inference(apply_def,[status(thm)],[c_0_74, c_0_72])).
% 0.23/0.30 thf(c_0_88, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X228:$i]:(((((X1 @ X228)))&(![X229:$i]:(((((X1 @ X229)))=>(((X228)=(X229)))))))))))))), inference(apply_def,[status(thm)],[c_0_75, c_0_72])).
% 0.23/0.30 thf(c_0_89, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.23/0.30 thf(c_0_90, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X230:$i]:(((((X1 @ X230)))&(![X231:$i]:(((((X1 @ X231)))=>(((X230)=(X231))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_76, c_0_72])).
% 0.23/0.30 thf(c_0_91, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X232:$i]:(((((X1 @ X232)))&(![X233:$i]:(((((X1 @ X233)))=>(((X232)=(X233))))))))))<=>((?[X234:$i]:(((((X17 @ X234)))&(![X235:$i]:(((((X17 @ X235)))=>(((X234)=(X235)))))))))))))))), inference(apply_def,[status(thm)],[c_0_77, c_0_72])).
% 0.23/0.30 thf(c_0_92, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.23/0.30 thf(c_0_93, plain, ((exuE1)=(![X1:$i > $o]:((((?[X218:$i]:(((((X1 @ X218)))&(![X219:$i]:(((((X1 @ X219)))=>(((X218)=(X219))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_78, c_0_72])).
% 0.23/0.30 thf(c_0_94, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.23/0.30 thf(c_0_95, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.23/0.30 thf(c_0_96, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X220:$i]:(((((X1 @ X220)))&(![X221:$i]:(((((X1 @ X221)))=>(((X220)=(X221))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_79, c_0_72])).
% 0.23/0.30 thf(c_0_97, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_80])).
% 0.23/0.30 thf(c_0_98, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_81, c_0_80])).
% 0.23/0.30 thf(c_0_99, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_80])).
% 0.23/0.30 thf(c_0_100, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.23/0.30 thf(c_0_101, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_80])).
% 0.23/0.30 thf(c_0_102, plain, ((exuE2)=(![X1:$i > $o]:((((?[X222:$i]:(((((X1 @ X222)))&(![X223:$i]:(((((X1 @ X223)))=>(((X222)=(X223))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_82, c_0_72])).
% 0.23/0.30 thf(c_0_103, plain, ((emptyE1)<=>![X4:$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])).
% 0.23/0.30 thf(c_0_104, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X214:$i]:(((((X6 @ X2 @ X214)))&(![X215:$i]:(((((X6 @ X2 @ X215)))=>(((X214)=(X215)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_83, c_0_72])).
% 0.23/0.30 thf(c_0_105, plain, ((epred1_0)<=>![X265:$i]:(?[X266:$i]:((((![X267:$i]:(((in @ X267 @ X266)=>![X268:$i]:(((in @ X268 @ X267)=>(in @ X268 @ X265)))))&![X269:$i, X270:$i]:((((in @ X269 @ X265)&(in @ X270 @ X265))=>(![X271:$i]:(((in @ X271 @ X266)=>((in @ X269 @ X271)<=>(in @ X270 @ X271))))=>((X269)=(X270))))))&![X272:$i, X273:$i]:((((in @ X272 @ X266)&(in @ X273 @ X266))=>(![X274:$i]:(((in @ X274 @ X272)=>(in @ X274 @ X273)))|![X275:$i]:(((in @ X275 @ X273)=>(in @ X275 @ X272)))))))&![X276:$i]:(((![X277:$i]:(((in @ X277 @ X276)=>(in @ X277 @ X265)))&?[X278:$i]:((in @ X278 @ X276)))=>?[X279:$i, X280:$i]:(((((in @ X279 @ X266)&(in @ X280 @ X276))&~(?[X281:$i]:(((in @ X281 @ X279)&(in @ X281 @ X276)))))&![X282:$i]:(((in @ X282 @ X266)=>(![X283:$i]:(((in @ X283 @ X282)=>(in @ X283 @ X279)))|(in @ X280 @ X282)))))))))))), introduced(definition)).
% 0.23/0.30 thf(c_0_106, negated_conjecture, ~((![X236:$i, X237:$i]:((![X238:$i]:(((in @ X238 @ X236)<=>(in @ X238 @ X237)))=>((X236)=(X237))))=>(![X239:$i]:(~(in @ X239 @ emptyset))=>(![X240:$i, X241:$i, X242:$i]:(((in @ X242 @ (setadjoin @ X240 @ X241))<=>(((X242)=(X240))|(in @ X242 @ X241))))=>(![X243:$i, X244:$i]:(((in @ X244 @ (powerset @ X243))<=>![X245:$i]:(((in @ X245 @ X244)=>(in @ X245 @ X243)))))=>(![X246:$i, X247:$i]:(((in @ X247 @ (setunion @ X246))<=>?[X248:$i]:(((in @ X247 @ X248)&(in @ X248 @ X246)))))=>((in @ emptyset @ omega)=>(![X249:$i]:(((in @ X249 @ omega)=>(in @ (setadjoin @ X249 @ X249) @ omega)))=>(![X250:$i]:((((in @ emptyset @ X250)&![X251:$i]:((((in @ X251 @ omega)&(in @ X251 @ X250))=>(in @ (setadjoin @ X251 @ X251) @ X250))))=>![X252:$i]:(((in @ X252 @ omega)=>(in @ X252 @ X250)))))=>(![X253:$i > $i > $o, X254:$i]:((![X255:$i]:(((in @ X255 @ X254)=>?[X256:$i]:(((X253 @ X255 @ X256)&![X257:$i]:(((X253 @ X255 @ X257)=>((X256)=(X257))))))))=>?[X258:$i]:(![X259:$i]:(((in @ X259 @ X258)<=>?[X260:$i]:(((in @ X260 @ X254)&(X253 @ X260 @ X259))))))))=>(![X261:$i]:((?[X262:$i]:((in @ X262 @ X261))=>?[X263:$i]:(((in @ X263 @ X261)&~(?[X264:$i]:(((in @ X264 @ X263)&(in @ X264 @ X261))))))))=>((epred1_0)=>(![X284:$i > $o]:((?[X285:$i]:(((X284 @ X285)&![X286:$i]:(((X284 @ X286)=>((X285)=(X286))))))=>(X284 @ (descr @ (^[Z0:$i]:(X284 @ Z0))))))=>(![X287:$i, X288:$i > $o, X289:$i]:(((in @ X289 @ X287)=>((X288 @ X289)=>(in @ X289 @ (dsetconstr @ X287 @ X288)))))=>(![X290:$i, X291:$i > $o, X292:$i]:(((in @ X292 @ (dsetconstr @ X290 @ X291))=>(in @ X292 @ X290)))=>(![X293:$i, X294:$i > $o, X295:$i]:(((in @ X295 @ (dsetconstr @ X293 @ X294))=>(X294 @ X295)))=>(![X296:$i > $o]:((?[X297:$i]:(((X296 @ X297)&![X298:$i]:(((X296 @ X298)=>((X297)=(X298))))))=>?[X299:$i]:(((X296 @ X299)&![X300:$i]:(((X296 @ X300)=>((X299)=(X300))))))))=>(![X301:$o, X302:$i]:(((in @ X302 @ (prop2set @ ((X301))))=>(X301)))=>(![X303:$i]:(((in @ X303 @ emptyset)=>![X304:$o]:((X304))))=>(![X305:$i]:(((in @ X305 @ emptyset)=>~($true)))=>(![X306:$i]:(~(in @ X306 @ emptyset))=>(![X307:$i > $o]:((?[X308:$i]:(((X307 @ X308)&![X309:$i]:(((X307 @ X309)=>((X308)=(X309))))))=>?[X310:$i]:((X307 @ X310))))=>(![X311:$i, X312:$i]:((![X313:$i]:(((in @ X313 @ X311)=>(in @ X313 @ X312)))=>(![X314:$i]:(((in @ X314 @ X312)=>(in @ X314 @ X311)))=>((X311)=(X312)))))=>(![X315:$i]:((![X316:$i]:(~(in @ X316 @ X315))=>((X315)=(emptyset))))=>(![X317:$i]:((![X318:$i]:(~(in @ X318 @ X317))=>((X317)=(emptyset))))=>(![X319:$i, X320:$i > $o, X321:$i]:(((in @ X321 @ X319)=>((in @ X321 @ (dsetconstr @ X319 @ X320))<=>(X320 @ X321))))=>(![X322:$i]:((((X322)!=(emptyset))=>?[X323:$i]:((in @ X323 @ X322))))=>(![X324:$i, X325:$i > $o, X326:$i]:(((in @ X326 @ X324)=>((X325 @ X326)=>((dsetconstr @ X324 @ X325)!=(emptyset)))))=>(![X327:$i]:((?[X328:$i]:((in @ X328 @ X327))=>((X327)!=(emptyset))))=>(![X329:$i, X330:$i]:((in @ X329 @ (setadjoin @ X329 @ X330)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X331:$i, X332:$i, X333:$i]:(((in @ X333 @ X332)=>(in @ X333 @ (setadjoin @ X331 @ X332))))=>(![X334:$i, X335:$i, X336:$i]:(((in @ X336 @ (setadjoin @ X334 @ X335))=>![X337:$o]:(((((X336)=(X334))=>(X337))=>(((in @ X336 @ X335)=>(X337))=>(X337))))))=>(![X338:$i, X339:$i, X340:$i]:(((in @ X340 @ (setadjoin @ X338 @ X339))=>(((X340)=(X338))|(in @ X340 @ X339))))=>(![X341:$i]:(((dsetconstr @ X341 @ (^[Z0:$i]:($true)))=(X341)))=>(![X342:$i, X343:$i]:((![X344:$i]:(((in @ X344 @ X343)=>(in @ X344 @ X342)))=>(in @ X343 @ (powerset @ X342))))=>(![X345:$i]:((in @ emptyset @ (powerset @ X345)))=>(![X346:$i]:((in @ emptyset @ (powerset @ X346)))=>(![X347:$i, X348:$i, X349:$i]:(((in @ X348 @ (powerset @ X347))=>((in @ X349 @ X348)=>(in @ X349 @ X347))))=>(![X350:$i, X351:$i, X352:$i]:(((in @ X351 @ X352)=>((in @ X352 @ X350)=>(in @ X351 @ (setunion @ X350)))))=>(![X353:$i, X354:$i]:(((in @ X354 @ (setunion @ X353))=>![X355:$o]:((![X356:$i]:(((in @ X354 @ X356)=>((in @ X356 @ X353)=>(X355))))=>(X355)))))=>(![X357:$i, X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ (powerset @ (setunion @ X357)))))=>(![X359:$i > $o]:((?[X360:$i]:(((X359 @ X360)&![X361:$i]:(((X359 @ X361)=>((X360)=(X361))))))=>?[X362:$i]:(![X363:$i]:(((X359 @ X363)<=>((X363)=(X362)))))))=>(![X364:$i]:((((X364)!=(emptyset))=>?[X365:$i]:(((in @ X365 @ X364)&$true))))=>(![X366:$i, X367:$i]:(((in @ X366 @ (setadjoin @ X367 @ emptyset))=>((X366)=(X367))))=>(![X368:$i, X369:$i]:((((X368)!=(X369))=>~(in @ X369 @ (setadjoin @ X368 @ emptyset))))=>(![X370:$i, X371:$i]:((((X370)=(X371))=>(in @ X370 @ (setadjoin @ X371 @ emptyset))))=>(![X372:$i, X373:$i]:(((in @ X372 @ (setadjoin @ X373 @ emptyset))=>(in @ X373 @ (setadjoin @ X372 @ emptyset))))=>(![X374:$i, X375:$i, X376:$i]:(((in @ X376 @ (setadjoin @ X374 @ (setadjoin @ X375 @ emptyset)))=>(((X376)=(X374))|((X376)=(X375)))))=>(![X377:$i, X378:$i]:((in @ X377 @ (setadjoin @ X377 @ (setadjoin @ X378 @ emptyset))))=>(![X379:$i, X380:$i]:((in @ X380 @ (setadjoin @ X379 @ (setadjoin @ X380 @ emptyset))))=>(![X381:$i, X382:$i > $o]:((?[X383:$i]:(((in @ X383 @ X381)&(X382 @ X383)))=>(((dsetconstr @ X381 @ X382)=(emptyset))=>~($true))))=>(![X384:$i > $o, X385:$i]:(((in @ X385 @ emptyset)=>(X384 @ X385)))=>(![X386:$i, X387:$i > $o]:((~(![X388:$i]:(((in @ X388 @ X386)=>(X387 @ X388))))=>?[X389:$i]:(((in @ X389 @ X386)&~((X387 @ X389))))))=>(![X390:$i, X391:$i > $o]:((![X392:$i]:(((in @ X392 @ X390)=>~((X391 @ X392))))=>~(?[X393:$i]:(((in @ X393 @ X390)&(X391 @ X393))))))=>(![X394:$i, X395:$i > $o]:((~(?[X396:$i]:(((in @ X396 @ X394)&(X395 @ X396))))=>![X397:$i]:(((in @ X397 @ X394)=>~((X395 @ X397))))))=>(![X398:$i, X399:$i > $o]:((?[X400:$i]:(((in @ X400 @ X398)&~((X399 @ X400))))=>~(![X401:$i]:(((in @ X401 @ X398)=>(X399 @ X401))))))=>(![X402:$o]:(((X402)=>(in @ emptyset @ (prop2set @ ((X402))))))=>(![X403:$o]:(((X403)=>(set2prop @ (prop2set @ ((X403))))))=>(![X404:$i, X405:$i > $o]:((~(?[X406:$i]:(((in @ X406 @ X404)&(X405 @ X406))))=>![X407:$i]:(((in @ X407 @ X404)=>~((X405 @ X407))))))=>(![X408:$i, X409:$i > $o]:((~(![X410:$i]:(((in @ X410 @ X408)=>(X409 @ X410))))=>?[X411:$i]:(((in @ X411 @ X408)&~((X409 @ X411))))))=>(![X412:$i > $o]:((?[X413:$i]:(((X412 @ X413)&![X414:$i]:(((X412 @ X414)=>((X413)=(X414))))))=>?[X415:$i]:(((X412 @ X415)&![X416:$i]:(((X412 @ X416)=>((X415)=(X416))))))))=>(![X417:$i > $o]:((?[X418:$i]:((X417 @ X418))=>(![X419:$i, X420:$i]:(((X417 @ X419)=>((X417 @ X420)=>((X419)=(X420)))))=>?[X421:$i]:(((X417 @ X421)&![X422:$i]:(((X417 @ X422)=>((X421)=(X422)))))))))=>(![X423:$i > $o]:((?[X424:$i]:(![X425:$i]:(((X423 @ X425)<=>((X425)=(X424)))))=>?[X426:$i]:(((X423 @ X426)&![X427:$i]:(((X423 @ X427)=>((X426)=(X427))))))))=>(![X428:$i, X429:$i]:((((X428)=(X429))=>![X430:$i, X431:$i]:((((X430)=(X431))=>((in @ X430 @ X428)=>(in @ X431 @ X429))))))=>(![X432:$i, X433:$i]:((((X432)=(X433))=>![X434:$i, X435:$i]:((((X434)=(X435))=>((in @ X434 @ X432)<=>(in @ X435 @ X433))))))=>(![X436:$i > $o]:((?[X437:$i]:(((X436 @ X437)&![X438:$i]:(((X436 @ X438)=>((X437)=(X438))))))=>![X439:$i, X440:$i]:(((X436 @ X439)=>((X436 @ X440)=>((X439)=(X440)))))))=>(![X441:$i > $o, X442:$i > $o]:((![X443:$i, X444:$i]:((((X443)=(X444))=>((X441 @ X443)<=>(X442 @ X444))))=>(?[X445:$i]:(((X441 @ X445)&![X446:$i]:(((X441 @ X446)=>((X445)=(X446))))))<=>?[X447:$i]:(((X442 @ X447)&![X448:$i]:(((X442 @ X448)=>((X447)=(X448)))))))))=>(((emptyset)=(emptyset))=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_84, notdexE]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), notdallE]), c_0_85]), c_0_86]), c_0_87]), wellorderingAx]), c_0_88]), foundationAx]), inCongP]), c_0_89]), in__Cong]), c_0_90]), c_0_91]), emptyset__Cong]), powersetI]), c_0_92]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97]), c_0_98]), c_0_99]), c_0_100]), noeltsimpempty]), emptyI]), setext]), setadjoinIL]), emptyinPowerset]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), emptyInPowerset]), uniqinunit]), c_0_101]), c_0_102]), subPowSU]), setunionE]), setunionI]), powersetE]), notinsingleton]), vacuousDall]), c_0_103]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), prop2setI]), quantDeMorgan1]), prop2set2propI]), c_0_104]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_105])).
% 0.23/0.30 thf(c_0_107, negated_conjecture, ![X449:$i, X450:$i, X452:$i, X453:$i, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i, X462:$i, X463:$i, X465:$i, X466:$i, X467:$i, X468:$i, X469:$i, X471:$i, X472:$i > $i > $o, X473:$i, X475:$i, X478:$i, X480:$i, X481:$i, X482:$i, X483:$i, X485:$i, X486:$i > $o, X487:$i, X489:$i, X490:$i > $o, X491:$i, X492:$i, X493:$i > $o, X494:$i, X495:$i, X496:$i > $o, X497:$i, X498:$i > $o, X499:$i, X502:$i, X503:$o, X504:$i, X505:$i, X506:$o, X507:$i, X508:$i, X509:$i > $o, X510:$i, X513:$i, X514:$i, X517:$i, X519:$i, X521:$i, X522:$i > $o, X523:$i, X524:$i, X526:$i, X527:$i > $o, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$o, X540:$i, X541:$i, X542:$i, X543:$i, X544:$i, X545:$i, X547:$i, X548:$i, X549:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$o, X559:$i, X560:$i, X561:$i > $o, X562:$i, X565:$i, X566:$i, X567:$i, X569:$i, X570:$i, X571:$i, X572:$i, X573:$i, X574:$i, X575:$i, X576:$i, X577:$i, X578:$i, X579:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X585:$i > $o, X586:$i, X587:$i > $o, X588:$i, X589:$i, X590:$i > $o, X591:$i, X593:$i, X594:$i > $o, X596:$i, X597:$i, X598:$i > $o, X600:$i, X601:$i, X602:$i > $o, X603:$i, X605:$o, X606:$o, X607:$i, X608:$i > $o, X610:$i, X611:$i, X612:$i > $o, X613:$i, X615:$i > $o, X616:$i, X619:$i, X620:$i > $o, X621:$i, X625:$i, X626:$i > $o, X627:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i > $o, X640:$i, X642:$i, X643:$i, X644:$i > $o, X645:$i > $o, X648:$i, X651:$i, X652:$i, X655:$i]:((((~(in @ (esk1_2 @ X449 @ X450) @ X449)|~(in @ (esk1_2 @ X449 @ X450) @ X450)|((X449)=(X450)))&((in @ (esk1_2 @ X449 @ X450) @ X449)|(in @ (esk1_2 @ X449 @ X450) @ X450)|((X449)=(X450))))&(~(in @ X452 @ emptyset)&(((~(in @ X455 @ (setadjoin @ X453 @ X454))|(((X455)=(X453))|(in @ X455 @ X454)))&((((X455)!=(X453))|(in @ X455 @ (setadjoin @ X453 @ X454)))&(~(in @ X455 @ X454)|(in @ X455 @ (setadjoin @ X453 @ X454)))))&(((~(in @ X457 @ (powerset @ X456))|(~(in @ X458 @ X457)|(in @ X458 @ X456)))&(((in @ (esk2_2 @ X459 @ X460) @ X460)|(in @ X460 @ (powerset @ X459)))&(~(in @ (esk2_2 @ X459 @ X460) @ X459)|(in @ X460 @ (powerset @ X459)))))&(((((in @ X463 @ (esk3_2 @ X462 @ X463))|~(in @ X463 @ (setunion @ X462)))&((in @ (esk3_2 @ X462 @ X463) @ X462)|~(in @ X463 @ (setunion @ X462))))&(~(in @ X466 @ X467)|~(in @ X467 @ X465)|(in @ X466 @ (setunion @ X465))))&((in @ emptyset @ omega)&((~(in @ X468 @ omega)|(in @ (setadjoin @ X468 @ X468) @ omega))&(((((in @ (esk4_1 @ X469) @ omega)|~(in @ emptyset @ X469)|(~(in @ X471 @ omega)|(in @ X471 @ X469)))&((in @ (esk4_1 @ X469) @ X469)|~(in @ emptyset @ X469)|(~(in @ X471 @ omega)|(in @ X471 @ X469))))&(~(in @ (setadjoin @ (esk4_1 @ X469) @ (esk4_1 @ X469)) @ X469)|~(in @ emptyset @ X469)|(~(in @ X471 @ omega)|(in @ X471 @ X469))))&((((((in @ (esk8_3 @ X472 @ X473 @ X478) @ X473)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|(in @ (esk5_2 @ X472 @ X473) @ X473))&((X472 @ (esk8_3 @ X472 @ X473 @ X478) @ X478)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|(in @ (esk5_2 @ X472 @ X473) @ X473)))&(~(in @ X481 @ X473)|~(X472 @ X481 @ X480)|(in @ X480 @ (esk7_2 @ X472 @ X473))|(in @ (esk5_2 @ X472 @ X473) @ X473)))&(((((in @ (esk8_3 @ X472 @ X473 @ X478) @ X473)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|((X472 @ (esk5_2 @ X472 @ X473) @ (esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475)))&((X472 @ (esk8_3 @ X472 @ X473 @ X478) @ X478)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|((X472 @ (esk5_2 @ X472 @ X473) @ (esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475))))&(~(in @ X481 @ X473)|~(X472 @ X481 @ X480)|(in @ X480 @ (esk7_2 @ X472 @ X473))|((X472 @ (esk5_2 @ X472 @ X473) @ (esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475))))&((((in @ (esk8_3 @ X472 @ X473 @ X478) @ X473)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|(((X475)!=(esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475)))&((X472 @ (esk8_3 @ X472 @ X473 @ X478) @ X478)|~(in @ X478 @ (esk7_2 @ X472 @ X473))|(((X475)!=(esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475))))&(~(in @ X481 @ X473)|~(X472 @ X481 @ X480)|(in @ X480 @ (esk7_2 @ X472 @ X473))|(((X475)!=(esk6_3 @ X472 @ X473 @ X475))|~(X472 @ (esk5_2 @ X472 @ X473) @ X475))))))&((((in @ (esk9_1 @ X482) @ X482)|~(in @ X483 @ X482))&(~(in @ X485 @ (esk9_1 @ X482))|~(in @ X485 @ X482)|~(in @ X483 @ X482)))&((epred1_0)&((((X486 @ (esk10_2 @ X486 @ X487))|~(X486 @ X487)|(X486 @ (descr @ X486)))&(((X487)!=(esk10_2 @ X486 @ X487))|~(X486 @ X487)|(X486 @ (descr @ X486))))&((~(in @ X491 @ X489)|(~(X490 @ X491)|(in @ X491 @ (dsetconstr @ X489 @ X490))))&((~(in @ X494 @ (dsetconstr @ X492 @ X493))|(in @ X494 @ X492))&((~(in @ X497 @ (dsetconstr @ X495 @ X496))|(X496 @ X497))&(((((X498 @ (esk12_1 @ X498))|((X498 @ (esk11_2 @ X498 @ X499))|~(X498 @ X499)))&(~(X498 @ X502)|((esk12_1 @ X498)=(X502))|((X498 @ (esk11_2 @ X498 @ X499))|~(X498 @ X499))))&(((X498 @ (esk12_1 @ X498))|(((X499)!=(esk11_2 @ X498 @ X499))|~(X498 @ X499)))&(~(X498 @ X502)|((esk12_1 @ X498)=(X502))|(((X499)!=(esk11_2 @ X498 @ X499))|~(X498 @ X499)))))&((~(in @ X504 @ (prop2set @ ((X503))))|(X503))&((~(in @ X505 @ emptyset)|(X506))&((~(in @ X507 @ emptyset)|~($true))&(~(in @ X508 @ emptyset)&((((X509 @ (esk13_2 @ X509 @ X510))|~(X509 @ X510)|(X509 @ (esk14_1 @ X509)))&(((X510)!=(esk13_2 @ X509 @ X510))|~(X509 @ X510)|(X509 @ (esk14_1 @ X509))))&(((((in @ (esk16_2 @ X513 @ X514) @ X514)|((X513)=(X514))|(in @ (esk15_2 @ X513 @ X514) @ X513))&(~(in @ (esk16_2 @ X513 @ X514) @ X513)|((X513)=(X514))|(in @ (esk15_2 @ X513 @ X514) @ X513)))&(((in @ (esk16_2 @ X513 @ X514) @ X514)|((X513)=(X514))|~(in @ (esk15_2 @ X513 @ X514) @ X514))&(~(in @ (esk16_2 @ X513 @ X514) @ X513)|((X513)=(X514))|~(in @ (esk15_2 @ X513 @ X514) @ X514))))&(((in @ (esk17_1 @ X517) @ X517)|((X517)=(emptyset)))&(((in @ (esk18_1 @ X519) @ X519)|((X519)=(emptyset)))&(((~(in @ X523 @ (dsetconstr @ X521 @ X522))|(X522 @ X523)|~(in @ X523 @ X521))&(~(X522 @ X523)|(in @ X523 @ (dsetconstr @ X521 @ X522))|~(in @ X523 @ X521)))&((((X524)=(emptyset))|(in @ (esk19_1 @ X524) @ X524))&((~(in @ X528 @ X526)|(~(X527 @ X528)|((dsetconstr @ X526 @ X527)!=(emptyset))))&((~(in @ X530 @ X529)|((X529)!=(emptyset)))&((in @ X531 @ (setadjoin @ X531 @ X532))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X535 @ X534)|(in @ X535 @ (setadjoin @ X533 @ X534)))&(((((in @ X538 @ X537)|(X539)|((X538)=(X536))|~(in @ X538 @ (setadjoin @ X536 @ X537)))&(~(X539)|(X539)|((X538)=(X536))|~(in @ X538 @ (setadjoin @ X536 @ X537))))&(((in @ X538 @ X537)|(X539)|~(X539)|~(in @ X538 @ (setadjoin @ X536 @ X537)))&(~(X539)|(X539)|~(X539)|~(in @ X538 @ (setadjoin @ X536 @ X537)))))&((~(in @ X542 @ (setadjoin @ X540 @ X541))|(((X542)=(X540))|(in @ X542 @ X541)))&(((dsetconstr @ X543 @ (^[Z0:$i]:($true)))=(X543))&((((in @ (esk20_2 @ X544 @ X545) @ X545)|(in @ X545 @ (powerset @ X544)))&(~(in @ (esk20_2 @ X544 @ X545) @ X544)|(in @ X545 @ (powerset @ X544))))&((in @ emptyset @ (powerset @ X547))&((in @ emptyset @ (powerset @ X548))&((~(in @ X550 @ (powerset @ X549))|(~(in @ X551 @ X550)|(in @ X551 @ X549)))&((~(in @ X553 @ X554)|(~(in @ X554 @ X552)|(in @ X553 @ (setunion @ X552))))&((((in @ X556 @ (esk21_3 @ X555 @ X556 @ X557))|(X557)|~(in @ X556 @ (setunion @ X555)))&(((in @ (esk21_3 @ X555 @ X556 @ X557) @ X555)|(X557)|~(in @ X556 @ (setunion @ X555)))&(~(X557)|(X557)|~(in @ X556 @ (setunion @ X555)))))&((~(in @ X560 @ X559)|(in @ X560 @ (powerset @ (setunion @ X559))))&((((~(X561 @ X565)|((X565)=(esk23_1 @ X561))|((X561 @ (esk22_2 @ X561 @ X562))|~(X561 @ X562)))&(((X566)!=(esk23_1 @ X561))|(X561 @ X566)|((X561 @ (esk22_2 @ X561 @ X562))|~(X561 @ X562))))&((~(X561 @ X565)|((X565)=(esk23_1 @ X561))|(((X562)!=(esk22_2 @ X561 @ X562))|~(X561 @ X562)))&(((X566)!=(esk23_1 @ X561))|(X561 @ X566)|(((X562)!=(esk22_2 @ X561 @ X562))|~(X561 @ X562)))))&((((in @ (esk24_1 @ X567) @ X567)|((X567)=(emptyset)))&(($true)|((X567)=(emptyset))))&((~(in @ X569 @ (setadjoin @ X570 @ emptyset))|((X569)=(X570)))&((((X571)=(X572))|~(in @ X572 @ (setadjoin @ X571 @ emptyset)))&((((X573)!=(X574))|(in @ X573 @ (setadjoin @ X574 @ emptyset)))&((~(in @ X575 @ (setadjoin @ X576 @ emptyset))|(in @ X576 @ (setadjoin @ X575 @ emptyset)))&((~(in @ X579 @ (setadjoin @ X577 @ (setadjoin @ X578 @ emptyset)))|(((X579)=(X577))|((X579)=(X578))))&((in @ X580 @ (setadjoin @ X580 @ (setadjoin @ X581 @ emptyset)))&((in @ X583 @ (setadjoin @ X582 @ (setadjoin @ X583 @ emptyset)))&((~(in @ X586 @ X584)|~(X585 @ X586)|(((dsetconstr @ X584 @ X585)!=(emptyset))|~($true)))&((~(in @ X588 @ emptyset)|(X587 @ X588))&((((in @ (esk25_2 @ X589 @ X590) @ X589)|(~(in @ X591 @ X589)|(X590 @ X591)))&(~(X590 @ (esk25_2 @ X589 @ X590))|(~(in @ X591 @ X589)|(X590 @ X591))))&((((in @ (esk26_2 @ X593 @ X594) @ X593)|(~(in @ X596 @ X593)|~(X594 @ X596)))&((X594 @ (esk26_2 @ X593 @ X594))|(~(in @ X596 @ X593)|~(X594 @ X596))))&((((in @ (esk27_2 @ X597 @ X598) @ X597)|(~(in @ X600 @ X597)|~(X598 @ X600)))&((X598 @ (esk27_2 @ X597 @ X598))|(~(in @ X600 @ X597)|~(X598 @ X600))))&((((in @ (esk28_2 @ X601 @ X602) @ X601)|(~(in @ X603 @ X601)|(X602 @ X603)))&(~(X602 @ (esk28_2 @ X601 @ X602))|(~(in @ X603 @ X601)|(X602 @ X603))))&((~(X605)|(in @ emptyset @ (prop2set @ ((X605)))))&((~(X606)|(set2prop @ (prop2set @ ((X606)))))&((((in @ (esk29_2 @ X607 @ X608) @ X607)|(~(in @ X610 @ X607)|~(X608 @ X610)))&((X608 @ (esk29_2 @ X607 @ X608))|(~(in @ X610 @ X607)|~(X608 @ X610))))&((((in @ (esk30_2 @ X611 @ X612) @ X611)|(~(in @ X613 @ X611)|(X612 @ X613)))&(~(X612 @ (esk30_2 @ X611 @ X612))|(~(in @ X613 @ X611)|(X612 @ X613))))&(((((X615 @ (esk32_1 @ X615))|((X615 @ (esk31_2 @ X615 @ X616))|~(X615 @ X616)))&(~(X615 @ X619)|((esk32_1 @ X615)=(X619))|((X615 @ (esk31_2 @ X615 @ X616))|~(X615 @ X616))))&(((X615 @ (esk32_1 @ X615))|(((X616)!=(esk31_2 @ X615 @ X616))|~(X615 @ X616)))&(~(X615 @ X619)|((esk32_1 @ X615)=(X619))|(((X616)!=(esk31_2 @ X615 @ X616))|~(X615 @ X616)))))&(((((X620 @ (esk35_1 @ X620))|(X620 @ (esk33_1 @ X620))|~(X620 @ X621))&(~(X620 @ X625)|((esk35_1 @ X620)=(X625))|(X620 @ (esk33_1 @ X620))|~(X620 @ X621)))&((((X620 @ (esk35_1 @ X620))|(X620 @ (esk34_1 @ X620))|~(X620 @ X621))&(~(X620 @ X625)|((esk35_1 @ X620)=(X625))|(X620 @ (esk34_1 @ X620))|~(X620 @ X621)))&(((X620 @ (esk35_1 @ X620))|((esk33_1 @ X620)!=(esk34_1 @ X620))|~(X620 @ X621))&(~(X620 @ X625)|((esk35_1 @ X620)=(X625))|((esk33_1 @ X620)!=(esk34_1 @ X620))|~(X620 @ X621)))))&(((((X626 @ (esk37_1 @ X626))|(~(X626 @ (esk36_2 @ X626 @ X627))|((esk36_2 @ X626 @ X627)!=(X627))))&(~(X626 @ X630)|((esk37_1 @ X626)=(X630))|(~(X626 @ (esk36_2 @ X626 @ X627))|((esk36_2 @ X626 @ X627)!=(X627)))))&(((X626 @ (esk37_1 @ X626))|((X626 @ (esk36_2 @ X626 @ X627))|((esk36_2 @ X626 @ X627)=(X627))))&(~(X626 @ X630)|((esk37_1 @ X626)=(X630))|((X626 @ (esk36_2 @ X626 @ X627))|((esk36_2 @ X626 @ X627)=(X627))))))&((((X631)!=(X632))|(((X633)!=(X634))|(~(in @ X633 @ X631)|(in @ X634 @ X632))))&(((~(in @ X637 @ X635)|(in @ X638 @ X636)|((X637)!=(X638))|((X635)!=(X636)))&(~(in @ X638 @ X636)|(in @ X637 @ X635)|((X637)!=(X638))|((X635)!=(X636))))&((((X639 @ (esk38_2 @ X639 @ X640))|~(X639 @ X640)|(~(X639 @ X642)|(~(X639 @ X643)|((X642)=(X643)))))&(((X640)!=(esk38_2 @ X639 @ X640))|~(X639 @ X640)|(~(X639 @ X642)|(~(X639 @ X643)|((X642)=(X643))))))&(((((((X645 @ (esk42_2 @ X644 @ X645))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645)))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645))))&(((X645 @ (esk42_2 @ X644 @ X645))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645)))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645)))))&((((X644 @ (esk44_2 @ X644 @ X645))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645)))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645))))&(((X644 @ (esk44_2 @ X644 @ X645))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645)))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((esk39_2 @ X644 @ X645)=(esk40_2 @ X644 @ X645))))))&((((((X645 @ (esk42_2 @ X644 @ X645))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645))))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645)))))&(((X645 @ (esk42_2 @ X644 @ X645))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645))))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645))))))&((((X644 @ (esk44_2 @ X644 @ X645))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645))))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645)))))&(((X644 @ (esk44_2 @ X644 @ X645))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645))))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|(~(X644 @ (esk39_2 @ X644 @ X645))|~(X645 @ (esk40_2 @ X644 @ X645)))))))&(((((X645 @ (esk42_2 @ X644 @ X645))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645))))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|((X644 @ (esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645)))))&(((X645 @ (esk42_2 @ X644 @ X645))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645))))&(~(X645 @ X651)|((esk42_2 @ X644 @ X645)=(X651))|(((X648)!=(esk41_3 @ X644 @ X645 @ X648))|~(X644 @ X648))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645))))))&((((X644 @ (esk44_2 @ X644 @ X645))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645))))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|((X645 @ (esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645)))))&(((X644 @ (esk44_2 @ X644 @ X645))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645))))&(~(X644 @ X655)|((esk44_2 @ X644 @ X645)=(X655))|(((X652)!=(esk43_3 @ X644 @ X645 @ X652))|~(X645 @ X652))|((X644 @ (esk39_2 @ X644 @ X645))|(X645 @ (esk40_2 @ X644 @ X645)))))))))&(((emptyset)=(emptyset))&(((esk45_0)=(esk46_0))&(((esk47_0)=(esk48_0))&((setadjoin @ esk45_0 @ esk47_0)!=(setadjoin @ esk46_0 @ esk48_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_106])])])])])])])).
% 0.23/0.30 thf(c_0_108, negated_conjecture, ((setadjoin @ esk45_0 @ esk47_0)!=(setadjoin @ esk46_0 @ esk48_0)), inference(split_conjunct,[status(thm)],[c_0_107])).
% 0.23/0.30 thf(c_0_109, negated_conjecture, ((esk45_0)=(esk46_0)), inference(split_conjunct,[status(thm)],[c_0_107])).
% 0.23/0.30 thf(c_0_110, negated_conjecture, ((esk47_0)=(esk48_0)), inference(split_conjunct,[status(thm)],[c_0_107])).
% 0.23/0.30 thf(c_0_111, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109]), c_0_110])]), ['proof']).
% 0.23/0.30 % SZS output end CNFRefutation
% 0.23/0.30 % Parsed axioms : 151
% 0.23/0.30 % Removed by relevancy pruning/SinE : 80
% 0.23/0.30 % Initial clauses : 163
% 0.23/0.30 % Removed in clause preprocessing : 9
% 0.23/0.30 % Initial clauses in saturation : 154
% 0.23/0.30 % Processed clauses : 26
% 0.23/0.30 % ...of these trivial : 1
% 0.23/0.30 % ...subsumed : 6
% 0.23/0.30 % ...remaining for further processing : 18
% 0.23/0.30 % Other redundant clauses eliminated : 1
% 0.23/0.30 % Clauses deleted for lack of memory : 0
% 0.23/0.30 % Backward-subsumed : 0
% 0.23/0.30 % Backward-rewritten : 2
% 0.23/0.30 % Generated clauses : 2
% 0.23/0.30 % ...of the previous two non-redundant : 3
% 0.23/0.30 % ...aggressively subsumed : 0
% 0.23/0.30 % Contextual simplify-reflections : 0
% 0.23/0.30 % Paramodulations : 1
% 0.23/0.30 % Factorizations : 0
% 0.23/0.30 % NegExts : 0
% 0.23/0.30 % Equation resolutions : 1
% 0.23/0.30 % Disequality decompositions : 0
% 0.23/0.30 % Total rewrite steps : 5
% 0.23/0.30 % ...of those cached : 0
% 0.23/0.30 % Propositional unsat checks : 0
% 0.23/0.30 % Propositional check models : 0
% 0.23/0.30 % Propositional check unsatisfiable : 0
% 0.23/0.30 % Propositional clauses : 0
% 0.23/0.30 % Propositional clauses after purity: 0
% 0.23/0.30 % Propositional unsat core size : 0
% 0.23/0.30 % Propositional preprocessing time : 0.000
% 0.23/0.30 % Propositional encoding time : 0.000
% 0.23/0.30 % Propositional solver time : 0.000
% 0.23/0.30 % Success case prop preproc time : 0.000
% 0.23/0.30 % Success case prop encoding time : 0.000
% 0.23/0.30 % Success case prop solver time : 0.000
% 0.23/0.30 % Current number of processed clauses : 15
% 0.23/0.30 % Positive orientable unit clauses : 10
% 0.23/0.30 % Positive unorientable unit clauses: 0
% 0.23/0.30 % Negative unit clauses : 1
% 0.23/0.30 % Non-unit-clauses : 4
% 0.23/0.30 % Current number of unprocessed clauses: 131
% 0.23/0.30 % ...number of literals in the above : 479
% 0.23/0.30 % Current number of archived formulas : 0
% 0.23/0.30 % Current number of archived clauses : 2
% 0.23/0.30 % Clause-clause subsumption calls (NU) : 3
% 0.23/0.30 % Rec. Clause-clause subsumption calls : 3
% 0.23/0.30 % Non-unit clause-clause subsumptions : 0
% 0.23/0.30 % Unit Clause-clause subsumption calls : 0
% 0.23/0.30 % Rewrite failures with RHS unbound : 0
% 0.23/0.30 % BW rewrite match attempts : 2
% 0.23/0.30 % BW rewrite match successes : 2
% 0.23/0.31 % Condensation attempts : 0
% 0.23/0.31 % Condensation successes : 0
% 0.23/0.31 % Termbank termtop insertions : 19620
% 0.23/0.31 % Search garbage collected termcells : 7907
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.018 s
% 0.23/0.31 % System time : 0.005 s
% 0.23/0.31 % Total time : 0.024 s
% 0.23/0.31 % Maximum resident set size: 5836 pages
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.022 s
% 0.23/0.31 % System time : 0.011 s
% 0.23/0.31 % Total time : 0.034 s
% 0.23/0.31 % Maximum resident set size: 5120 pages
% 0.23/0.31 % E exiting
%------------------------------------------------------------------------------