%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU559^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:24:30 AM UTC 2026
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU559^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 13:50:15 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p
% 0.07/0.28 % Version: 3.5.1-ho
% 0.07/0.28 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.07/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.28 % Starting sh5l with 300s (1) cores
% 0.07/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.07/0.28 % new_ho_10 with pid 4025746 completed with status 0
% 0.07/0.28 % Result found by new_ho_10
% 0.07/0.28 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.07/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.28 % No SInE strategy applied
% 0.07/0.28 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.07/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.28 % Starting new_ho_10 with 151s (1) cores
% 0.07/0.28 % Starting sh5l with 136s (1) cores
% 0.07/0.28 % Starting lpo1_def_fix with 136s (1) cores
% 0.07/0.28 % Starting full_lambda_2 with 136s (1) cores
% 0.07/0.28 % SubtermCWHack with pid 4025750 completed with status 0
% 0.07/0.28 % Result found by SubtermCWHack
% 0.07/0.28 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.07/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.28 % No SInE strategy applied
% 0.07/0.28 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.07/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.28 % Preprocessing time : 0.004 s
% 0.07/0.28
% 0.07/0.28 % Proof found!
% 0.07/0.28 % SZS status Theorem
% 0.07/0.28 % SZS output start CNFRefutation
% 0.07/0.28 thf(decl_23, type, in: $i > $i > $o).
% 0.07/0.28 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.07/0.28 thf(decl_25, type, setextAx: $o).
% 0.07/0.28 thf(decl_26, type, emptyset: $i).
% 0.07/0.28 thf(decl_27, type, emptysetAx: $o).
% 0.07/0.28 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.07/0.28 thf(decl_29, type, setadjoinAx: $o).
% 0.07/0.28 thf(decl_30, type, powerset: $i > $i).
% 0.07/0.28 thf(decl_31, type, powersetAx: $o).
% 0.07/0.28 thf(decl_32, type, setunion: $i > $i).
% 0.07/0.28 thf(decl_33, type, setunionAx: $o).
% 0.07/0.28 thf(decl_34, type, omega: $i).
% 0.07/0.28 thf(decl_35, type, omega0Ax: $o).
% 0.07/0.28 thf(decl_36, type, omegaSAx: $o).
% 0.07/0.28 thf(decl_37, type, omegaIndAx: $o).
% 0.07/0.28 thf(decl_38, type, replAx: $o).
% 0.07/0.28 thf(decl_39, type, foundationAx: $o).
% 0.07/0.28 thf(decl_40, type, wellorderingAx: $o).
% 0.07/0.28 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.07/0.28 thf(decl_42, type, descrp: $o).
% 0.07/0.28 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_44, type, dsetconstrI: $o).
% 0.07/0.28 thf(decl_45, type, dsetconstrEL: $o).
% 0.07/0.28 thf(decl_46, type, dsetconstrER: $o).
% 0.07/0.28 thf(decl_47, type, exuE1: $o).
% 0.07/0.28 thf(decl_48, type, prop2set: $o > $i).
% 0.07/0.28 thf(decl_49, type, prop2setE: $o).
% 0.07/0.28 thf(decl_50, type, emptysetE: $o).
% 0.07/0.28 thf(decl_51, type, emptysetimpfalse: $o).
% 0.07/0.28 thf(decl_52, type, notinemptyset: $o).
% 0.07/0.28 thf(decl_53, type, exuE3e: $o).
% 0.07/0.28 thf(decl_54, type, setext: $o).
% 0.07/0.28 thf(decl_55, type, emptyI: $o).
% 0.07/0.28 thf(decl_56, type, noeltsimpempty: $o).
% 0.07/0.28 thf(decl_57, type, setbeta: $o).
% 0.07/0.28 thf(decl_58, type, nonempty: $i > $o).
% 0.07/0.28 thf(decl_59, type, nonemptyE1: $o).
% 0.07/0.28 thf(decl_60, type, nonemptyI: $o).
% 0.07/0.28 thf(decl_61, type, nonemptyI1: $o).
% 0.07/0.28 thf(decl_62, type, setadjoinIL: $o).
% 0.07/0.28 thf(decl_63, type, emptyinunitempty: $o).
% 0.07/0.28 thf(decl_64, type, setadjoinIR: $o).
% 0.07/0.28 thf(decl_65, type, setadjoinE: $o).
% 0.07/0.28 thf(decl_66, type, setadjoinOr: $o).
% 0.07/0.28 thf(decl_67, type, setoftrueEq: $o).
% 0.07/0.28 thf(decl_68, type, powersetI: $o).
% 0.07/0.28 thf(decl_69, type, emptyinPowerset: $o).
% 0.07/0.28 thf(decl_70, type, emptyInPowerset: $o).
% 0.07/0.28 thf(decl_71, type, powersetE: $o).
% 0.07/0.28 thf(decl_72, type, setunionI: $o).
% 0.07/0.28 thf(decl_73, type, setunionE: $o).
% 0.07/0.28 thf(decl_74, type, subPowSU: $o).
% 0.07/0.28 thf(decl_75, type, exuE2: $o).
% 0.07/0.28 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.07/0.28 thf(decl_77, type, uniqinunit: $o).
% 0.07/0.28 thf(decl_78, type, notinsingleton: $o).
% 0.07/0.28 thf(decl_79, type, eqinunit: $o).
% 0.07/0.28 thf(decl_80, type, singletonsswitch: $o).
% 0.07/0.28 thf(decl_81, type, upairsetE: $o).
% 0.07/0.28 thf(decl_82, type, upairsetIL: $o).
% 0.07/0.28 thf(decl_83, type, upairsetIR: $o).
% 0.07/0.28 thf(decl_84, type, emptyE1: $o).
% 0.07/0.28 thf(decl_85, type, vacuousDall: $o).
% 0.07/0.28 thf(decl_86, type, quantDeMorgan1: $o).
% 0.07/0.28 thf(decl_87, type, quantDeMorgan2: $o).
% 0.07/0.28 thf(decl_88, type, quantDeMorgan3: $o).
% 0.07/0.28 thf(decl_89, type, quantDeMorgan4: $o).
% 0.07/0.28 thf(decl_90, type, prop2setI: $o).
% 0.07/0.28 thf(decl_91, type, set2prop: $i > $o).
% 0.07/0.28 thf(decl_92, type, prop2set2propI: $o).
% 0.07/0.28 thf(decl_93, type, notdexE: $o).
% 0.07/0.28 thf(decl_94, type, notdallE: $o).
% 0.07/0.28 thf(decl_95, type, exuI1: $o).
% 0.07/0.28 thf(decl_96, type, exuI3: $o).
% 0.07/0.28 thf(decl_97, type, exuI2: $o).
% 0.07/0.28 thf(decl_98, type, inCongP: $o).
% 0.07/0.28 thf(decl_99, type, in__Cong: $o).
% 0.07/0.28 thf(decl_100, type, exuE3u: $o).
% 0.07/0.28 thf(decl_101, type, exu__Cong: $o).
% 0.07/0.28 thf(decl_102, type, emptyset__Cong: $o).
% 0.07/0.28 thf(decl_103, type, setadjoin__Cong: $o).
% 0.07/0.28 thf(decl_104, type, powerset__Cong: $o).
% 0.07/0.28 thf(decl_105, type, setunion__Cong: $o).
% 0.07/0.28 thf(decl_106, type, omega__Cong: $o).
% 0.07/0.28 thf(decl_107, type, exuEu: $o).
% 0.07/0.28 thf(decl_108, type, descr__Cong: $o).
% 0.07/0.28 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.07/0.28 thf(decl_110, type, subset: $i > $i > $o).
% 0.07/0.28 thf(decl_113, type, epred1_0: $o).
% 0.07/0.28 thf(decl_114, type, esk1_2: $i > $i > $i).
% 0.07/0.28 thf(decl_115, type, esk2_2: $i > $i > $i).
% 0.07/0.28 thf(decl_116, type, esk3_2: $i > $i > $i).
% 0.07/0.28 thf(decl_117, type, esk4_1: $i > $i).
% 0.07/0.28 thf(decl_118, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.07/0.28 thf(decl_119, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.07/0.28 thf(decl_120, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.07/0.28 thf(decl_121, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.07/0.28 thf(decl_122, type, esk9_1: $i > $i).
% 0.07/0.28 thf(decl_123, type, esk10_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_124, type, esk11_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_125, type, esk12_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_126, type, esk13_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_127, type, esk14_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_128, type, esk15_2: $i > $i > $i).
% 0.07/0.28 thf(decl_129, type, esk16_2: $i > $i > $i).
% 0.07/0.28 thf(decl_130, type, esk17_1: $i > $i).
% 0.07/0.28 thf(decl_131, type, esk18_1: $i > $i).
% 0.07/0.28 thf(decl_132, type, esk19_1: $i > $i).
% 0.07/0.28 thf(decl_133, type, esk20_2: $i > $i > $i).
% 0.07/0.28 thf(decl_134, type, esk21_3: $i > $i > $o > $i).
% 0.07/0.28 thf(decl_135, type, esk22_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_136, type, esk23_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_137, type, esk24_1: $i > $i).
% 0.07/0.28 thf(decl_138, type, esk25_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_139, type, esk26_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_140, type, esk27_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_141, type, esk28_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_142, type, esk29_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_143, type, esk30_2: $i > ($i > $o) > $i).
% 0.07/0.28 thf(decl_144, type, esk31_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_145, type, esk32_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_146, type, esk33_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_147, type, esk34_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_148, type, esk35_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_149, type, esk36_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_150, type, esk37_1: ($i > $o) > $i).
% 0.07/0.28 thf(decl_151, type, esk38_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_152, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_153, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_154, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_155, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_156, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_157, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_158, type, esk45_2: ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_159, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_160, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_161, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_162, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.07/0.28 thf(decl_163, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_164, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.07/0.28 thf(decl_165, type, esk52_0: $i).
% 0.07/0.28 thf(decl_166, type, esk53_0: $i).
% 0.07/0.28 thf(decl_167, type, esk54_0: $i).
% 0.07/0.28 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', replAx)).
% 0.07/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exu)).
% 0.07/0.28 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', descrp)).
% 0.07/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuE1)).
% 0.07/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuE3e)).
% 0.07/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', nonempty)).
% 0.07/0.28 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', nonemptyI)).
% 0.07/0.28 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuE2)).
% 0.07/0.28 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuI1)).
% 0.07/0.28 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuI3)).
% 0.07/0.28 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuI2)).
% 0.07/0.28 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuE3u)).
% 0.07/0.28 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exu__Cong)).
% 0.07/0.28 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', exuEu)).
% 0.07/0.28 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', descr__Cong)).
% 0.07/0.28 thf(subsetI1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', subsetI1)).
% 0.07/0.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', dsetconstrI)).
% 0.07/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', dsetconstrEL)).
% 0.07/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', dsetconstrER)).
% 0.07/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setbeta)).
% 0.07/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', nonemptyE1)).
% 0.07/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', nonemptyI1)).
% 0.07/0.28 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setoftrueEq)).
% 0.07/0.28 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', nonemptyImpWitness)).
% 0.07/0.28 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyE1)).
% 0.07/0.28 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', dsetconstr__Cong)).
% 0.07/0.28 thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:((((in @ X2 @ X4))=>((in @ X2 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', subset)).
% 0.07/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setextAx)).
% 0.07/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptysetAx)).
% 0.07/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoinAx)).
% 0.07/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', powersetAx)).
% 0.07/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setunionAx)).
% 0.07/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', omega0Ax)).
% 0.07/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', omegaSAx)).
% 0.07/0.28 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', omegaIndAx)).
% 0.07/0.28 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', foundationAx)).
% 0.07/0.28 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', wellorderingAx)).
% 0.07/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', prop2setE)).
% 0.07/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptysetE)).
% 0.07/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptysetimpfalse)).
% 0.07/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', notinemptyset)).
% 0.07/0.28 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setext)).
% 0.07/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyI)).
% 0.07/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', noeltsimpempty)).
% 0.07/0.28 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoinIL)).
% 0.07/0.28 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyinunitempty)).
% 0.07/0.28 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoinIR)).
% 0.07/0.28 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoinE)).
% 0.07/0.28 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoinOr)).
% 0.07/0.28 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', powersetI)).
% 0.07/0.28 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyinPowerset)).
% 0.07/0.28 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyInPowerset)).
% 0.07/0.28 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', powersetE)).
% 0.07/0.28 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setunionI)).
% 0.07/0.28 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setunionE)).
% 0.07/0.28 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', subPowSU)).
% 0.07/0.28 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', uniqinunit)).
% 0.07/0.28 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', notinsingleton)).
% 0.07/0.28 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', eqinunit)).
% 0.07/0.28 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', singletonsswitch)).
% 0.07/0.28 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', upairsetE)).
% 0.07/0.28 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', upairsetIL)).
% 0.07/0.28 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', upairsetIR)).
% 0.07/0.28 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', vacuousDall)).
% 0.07/0.28 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', quantDeMorgan1)).
% 0.07/0.28 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', quantDeMorgan2)).
% 0.07/0.28 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', quantDeMorgan3)).
% 0.07/0.28 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', quantDeMorgan4)).
% 0.07/0.28 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', prop2setI)).
% 0.07/0.28 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', prop2set2propI)).
% 0.07/0.28 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', notdexE)).
% 0.07/0.28 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', notdallE)).
% 0.07/0.28 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', inCongP)).
% 0.07/0.28 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', in__Cong)).
% 0.07/0.28 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', emptyset__Cong)).
% 0.07/0.28 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setadjoin__Cong)).
% 0.07/0.28 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', powerset__Cong)).
% 0.07/0.28 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', setunion__Cong)).
% 0.07/0.28 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.3mwcvFHgXn/E---3.1_4025723.p', omega__Cong)).
% 0.07/0.28 thf(c_0_79, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.07/0.28 thf(c_0_80, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.07/0.28 thf(c_0_81, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.07/0.28 thf(c_0_82, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.07/0.28 thf(c_0_83, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.07/0.28 thf(c_0_84, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.07/0.28 thf(c_0_85, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.07/0.28 thf(c_0_86, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.07/0.28 thf(c_0_87, 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])).
% 0.07/0.28 thf(c_0_88, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.07/0.28 thf(c_0_89, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.07/0.28 thf(c_0_90, 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])).
% 0.07/0.28 thf(c_0_91, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.07/0.28 thf(c_0_92, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.07/0.28 thf(c_0_93, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.07/0.28 thf(c_0_94, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subsetI1])).
% 0.07/0.28 thf(c_0_95, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X234:$i]:(((((X6 @ X2 @ X234)))&(![X235:$i]:(((((X6 @ X2 @ X235)))=>(((X234)=(X235)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_79, c_0_80])).
% 0.07/0.28 thf(c_0_96, plain, ((descrp)=(![X1:$i > $o]:((((?[X236:$i]:(((((X1 @ X236)))&(![X237:$i]:(((((X1 @ X237)))=>(((X236)=(X237))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_81, c_0_80])).
% 0.07/0.28 thf(c_0_97, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.07/0.28 thf(c_0_98, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.07/0.28 thf(c_0_99, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.07/0.28 thf(c_0_100, plain, ((exuE1)=(![X1:$i > $o]:((((?[X238:$i]:(((((X1 @ X238)))&(![X239:$i]:(((((X1 @ X239)))=>(((X238)=(X239))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_82, c_0_80])).
% 0.07/0.28 thf(c_0_101, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X240:$i]:(((((X1 @ X240)))&(![X241:$i]:(((((X1 @ X241)))=>(((X240)=(X241))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_83, c_0_80])).
% 0.07/0.28 thf(c_0_102, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.07/0.28 thf(c_0_103, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_84])).
% 0.07/0.28 thf(c_0_104, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_84])).
% 0.07/0.28 thf(c_0_105, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_84])).
% 0.07/0.28 thf(c_0_106, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.07/0.28 thf(c_0_107, plain, ((exuE2)=(![X1:$i > $o]:((((?[X242:$i]:(((((X1 @ X242)))&(![X243:$i]:(((((X1 @ X243)))=>(((X242)=(X243))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_80])).
% 0.07/0.28 thf(c_0_108, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_84])).
% 0.07/0.28 thf(c_0_109, 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])).
% 0.07/0.28 thf(c_0_110, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X244:$i]:(((((X1 @ X244)))&(![X245:$i]:(((((X1 @ X245)))=>(((X244)=(X245)))))))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_80])).
% 0.07/0.28 thf(c_0_111, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X246:$i]:(((((X1 @ X246)))&(![X247:$i]:(((((X1 @ X247)))=>(((X246)=(X247)))))))))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_80])).
% 0.07/0.28 thf(c_0_112, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X248:$i]:(((((X1 @ X248)))&(![X249:$i]:(((((X1 @ X249)))=>(((X248)=(X249)))))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_80])).
% 0.07/0.28 thf(c_0_113, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X250:$i]:(((((X1 @ X250)))&(![X251:$i]:(((((X1 @ X251)))=>(((X250)=(X251))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_80])).
% 0.07/0.28 thf(c_0_114, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X252:$i]:(((((X1 @ X252)))&(![X253:$i]:(((((X1 @ X253)))=>(((X252)=(X253))))))))))<=>((?[X254:$i]:(((((X17 @ X254)))&(![X255:$i]:(((((X17 @ X255)))=>(((X254)=(X255)))))))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_80])).
% 0.07/0.28 thf(c_0_115, plain, ((exuEu)=(![X1:$i > $o]:((((?[X256:$i]:(((((X1 @ X256)))&(![X257:$i]:(((((X1 @ X257)))=>(((X256)=(X257))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_80])).
% 0.07/0.28 thf(c_0_116, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X258:$i]:(((((X1 @ X258)))&(![X259:$i]:(((((X1 @ X259)))=>(((X258)=(X259))))))))))=>((((?[X260:$i]:(((((X17 @ X260)))&(![X261:$i]:(((((X17 @ X261)))=>(((X260)=(X261))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_80])).
% 0.07/0.28 thf(c_0_117, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.07/0.28 thf(c_0_118, plain, ((subset)=(^[Z0:$i, Z1:$i]:(![X2:$i]:((((in @ X2 @ Z0))=>((in @ X2 @ Z1))))))), inference(fof_simplification,[status(thm)],[subset])).
% 0.07/0.28 thf(c_0_119, plain, ((epred1_0)<=>![X291:$i]:(?[X292:$i]:((((![X293:$i]:(((in @ X293 @ X292)=>![X294:$i]:(((in @ X294 @ X293)=>(in @ X294 @ X291)))))&![X295:$i, X296:$i]:((((in @ X295 @ X291)&(in @ X296 @ X291))=>(![X297:$i]:(((in @ X297 @ X292)=>((in @ X295 @ X297)<=>(in @ X296 @ X297))))=>((X295)=(X296))))))&![X298:$i, X299:$i]:((((in @ X298 @ X292)&(in @ X299 @ X292))=>(![X300:$i]:(((in @ X300 @ X298)=>(in @ X300 @ X299)))|![X301:$i]:(((in @ X301 @ X299)=>(in @ X301 @ X298)))))))&![X302:$i]:(((![X303:$i]:(((in @ X303 @ X302)=>(in @ X303 @ X291)))&?[X304:$i]:((in @ X304 @ X302)))=>?[X305:$i, X306:$i]:(((((in @ X305 @ X292)&(in @ X306 @ X302))&~(?[X307:$i]:(((in @ X307 @ X305)&(in @ X307 @ X302)))))&![X308:$i]:(((in @ X308 @ X292)=>(![X309:$i]:(((in @ X309 @ X308)=>(in @ X309 @ X305)))|(in @ X306 @ X308)))))))))))), introduced(definition)).
% 0.07/0.28 thf(c_0_120, negated_conjecture, ~((![X262:$i, X263:$i]:((![X264:$i]:(((in @ X264 @ X262)<=>(in @ X264 @ X263)))=>((X262)=(X263))))=>(![X265:$i]:(~(in @ X265 @ emptyset))=>(![X266:$i, X267:$i, X268:$i]:(((in @ X268 @ (setadjoin @ X266 @ X267))<=>(((X268)=(X266))|(in @ X268 @ X267))))=>(![X269:$i, X270:$i]:(((in @ X270 @ (powerset @ X269))<=>![X271:$i]:(((in @ X271 @ X270)=>(in @ X271 @ X269)))))=>(![X272:$i, X273:$i]:(((in @ X273 @ (setunion @ X272))<=>?[X274:$i]:(((in @ X273 @ X274)&(in @ X274 @ X272)))))=>((in @ emptyset @ omega)=>(![X275:$i]:(((in @ X275 @ omega)=>(in @ (setadjoin @ X275 @ X275) @ omega)))=>(![X276:$i]:((((in @ emptyset @ X276)&![X277:$i]:((((in @ X277 @ omega)&(in @ X277 @ X276))=>(in @ (setadjoin @ X277 @ X277) @ X276))))=>![X278:$i]:(((in @ X278 @ omega)=>(in @ X278 @ X276)))))=>(![X279:$i > $i > $o, X280:$i]:((![X281:$i]:(((in @ X281 @ X280)=>?[X282:$i]:(((X279 @ X281 @ X282)&![X283:$i]:(((X279 @ X281 @ X283)=>((X282)=(X283))))))))=>?[X284:$i]:(![X285:$i]:(((in @ X285 @ X284)<=>?[X286:$i]:(((in @ X286 @ X280)&(X279 @ X286 @ X285))))))))=>(![X287:$i]:((?[X288:$i]:((in @ X288 @ X287))=>?[X289:$i]:(((in @ X289 @ X287)&~(?[X290:$i]:(((in @ X290 @ X289)&(in @ X290 @ X287))))))))=>((epred1_0)=>(![X310:$i > $o]:((?[X311:$i]:(((X310 @ X311)&![X312:$i]:(((X310 @ X312)=>((X311)=(X312))))))=>(X310 @ (descr @ (^[Z0:$i]:(X310 @ Z0))))))=>(![X313:$i, X314:$i > $o, X315:$i]:(((in @ X315 @ X313)=>((X314 @ X315)=>(in @ X315 @ (dsetconstr @ X313 @ X314)))))=>(![X316:$i, X317:$i > $o, X318:$i]:(((in @ X318 @ (dsetconstr @ X316 @ X317))=>(in @ X318 @ X316)))=>(![X319:$i, X320:$i > $o, X321:$i]:(((in @ X321 @ (dsetconstr @ X319 @ X320))=>(X320 @ X321)))=>(![X322:$i > $o]:((?[X323:$i]:(((X322 @ X323)&![X324:$i]:(((X322 @ X324)=>((X323)=(X324))))))=>?[X325:$i]:(((X322 @ X325)&![X326:$i]:(((X322 @ X326)=>((X325)=(X326))))))))=>(![X327:$o, X328:$i]:(((in @ X328 @ (prop2set @ ((X327))))=>(X327)))=>(![X329:$i]:(((in @ X329 @ emptyset)=>![X330:$o]:((X330))))=>(![X331:$i]:(((in @ X331 @ emptyset)=>~($true)))=>(![X332:$i]:(~(in @ X332 @ emptyset))=>(![X333:$i > $o]:((?[X334:$i]:(((X333 @ X334)&![X335:$i]:(((X333 @ X335)=>((X334)=(X335))))))=>?[X336:$i]:((X333 @ X336))))=>(![X337:$i, X338:$i]:((![X339:$i]:(((in @ X339 @ X337)=>(in @ X339 @ X338)))=>(![X340:$i]:(((in @ X340 @ X338)=>(in @ X340 @ X337)))=>((X337)=(X338)))))=>(![X341:$i]:((![X342:$i]:(~(in @ X342 @ X341))=>((X341)=(emptyset))))=>(![X343:$i]:((![X344:$i]:(~(in @ X344 @ X343))=>((X343)=(emptyset))))=>(![X345:$i, X346:$i > $o, X347:$i]:(((in @ X347 @ X345)=>((in @ X347 @ (dsetconstr @ X345 @ X346))<=>(X346 @ X347))))=>(![X348:$i]:((((X348)!=(emptyset))=>?[X349:$i]:((in @ X349 @ X348))))=>(![X350:$i, X351:$i > $o, X352:$i]:(((in @ X352 @ X350)=>((X351 @ X352)=>((dsetconstr @ X350 @ X351)!=(emptyset)))))=>(![X353:$i]:((?[X354:$i]:((in @ X354 @ X353))=>((X353)!=(emptyset))))=>(![X355:$i, X356:$i]:((in @ X355 @ (setadjoin @ X355 @ X356)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X357:$i, X358:$i, X359:$i]:(((in @ X359 @ X358)=>(in @ X359 @ (setadjoin @ X357 @ X358))))=>(![X360:$i, X361:$i, X362:$i]:(((in @ X362 @ (setadjoin @ X360 @ X361))=>![X363:$o]:(((((X362)=(X360))=>(X363))=>(((in @ X362 @ X361)=>(X363))=>(X363))))))=>(![X364:$i, X365:$i, X366:$i]:(((in @ X366 @ (setadjoin @ X364 @ X365))=>(((X366)=(X364))|(in @ X366 @ X365))))=>(![X367:$i]:(((dsetconstr @ X367 @ (^[Z0:$i]:($true)))=(X367)))=>(![X368:$i, X369:$i]:((![X370:$i]:(((in @ X370 @ X369)=>(in @ X370 @ X368)))=>(in @ X369 @ (powerset @ X368))))=>(![X371:$i]:((in @ emptyset @ (powerset @ X371)))=>(![X372:$i]:((in @ emptyset @ (powerset @ X372)))=>(![X373:$i, X374:$i, X375:$i]:(((in @ X374 @ (powerset @ X373))=>((in @ X375 @ X374)=>(in @ X375 @ X373))))=>(![X376:$i, X377:$i, X378:$i]:(((in @ X377 @ X378)=>((in @ X378 @ X376)=>(in @ X377 @ (setunion @ X376)))))=>(![X379:$i, X380:$i]:(((in @ X380 @ (setunion @ X379))=>![X381:$o]:((![X382:$i]:(((in @ X380 @ X382)=>((in @ X382 @ X379)=>(X381))))=>(X381)))))=>(![X383:$i, X384:$i]:(((in @ X384 @ X383)=>(in @ X384 @ (powerset @ (setunion @ X383)))))=>(![X385:$i > $o]:((?[X386:$i]:(((X385 @ X386)&![X387:$i]:(((X385 @ X387)=>((X386)=(X387))))))=>?[X388:$i]:(![X389:$i]:(((X385 @ X389)<=>((X389)=(X388)))))))=>(![X390:$i]:((((X390)!=(emptyset))=>?[X391:$i]:(((in @ X391 @ X390)&$true))))=>(![X392:$i, X393:$i]:(((in @ X392 @ (setadjoin @ X393 @ emptyset))=>((X392)=(X393))))=>(![X394:$i, X395:$i]:((((X394)!=(X395))=>~(in @ X395 @ (setadjoin @ X394 @ emptyset))))=>(![X396:$i, X397:$i]:((((X396)=(X397))=>(in @ X396 @ (setadjoin @ X397 @ emptyset))))=>(![X398:$i, X399:$i]:(((in @ X398 @ (setadjoin @ X399 @ emptyset))=>(in @ X399 @ (setadjoin @ X398 @ emptyset))))=>(![X400:$i, X401:$i, X402:$i]:(((in @ X402 @ (setadjoin @ X400 @ (setadjoin @ X401 @ emptyset)))=>(((X402)=(X400))|((X402)=(X401)))))=>(![X403:$i, X404:$i]:((in @ X403 @ (setadjoin @ X403 @ (setadjoin @ X404 @ emptyset))))=>(![X405:$i, X406:$i]:((in @ X406 @ (setadjoin @ X405 @ (setadjoin @ X406 @ emptyset))))=>(![X407:$i, X408:$i > $o]:((?[X409:$i]:(((in @ X409 @ X407)&(X408 @ X409)))=>(((dsetconstr @ X407 @ X408)=(emptyset))=>~($true))))=>(![X410:$i > $o, X411:$i]:(((in @ X411 @ emptyset)=>(X410 @ X411)))=>(![X412:$i, X413:$i > $o]:((~(![X414:$i]:(((in @ X414 @ X412)=>(X413 @ X414))))=>?[X415:$i]:(((in @ X415 @ X412)&~((X413 @ X415))))))=>(![X416:$i, X417:$i > $o]:((![X418:$i]:(((in @ X418 @ X416)=>~((X417 @ X418))))=>~(?[X419:$i]:(((in @ X419 @ X416)&(X417 @ X419))))))=>(![X420:$i, X421:$i > $o]:((~(?[X422:$i]:(((in @ X422 @ X420)&(X421 @ X422))))=>![X423:$i]:(((in @ X423 @ X420)=>~((X421 @ X423))))))=>(![X424:$i, X425:$i > $o]:((?[X426:$i]:(((in @ X426 @ X424)&~((X425 @ X426))))=>~(![X427:$i]:(((in @ X427 @ X424)=>(X425 @ X427))))))=>(![X428:$o]:(((X428)=>(in @ emptyset @ (prop2set @ ((X428))))))=>(![X429:$o]:(((X429)=>(set2prop @ (prop2set @ ((X429))))))=>(![X430:$i, X431:$i > $o]:((~(?[X432:$i]:(((in @ X432 @ X430)&(X431 @ X432))))=>![X433:$i]:(((in @ X433 @ X430)=>~((X431 @ X433))))))=>(![X434:$i, X435:$i > $o]:((~(![X436:$i]:(((in @ X436 @ X434)=>(X435 @ X436))))=>?[X437:$i]:(((in @ X437 @ X434)&~((X435 @ X437))))))=>(![X438:$i > $o]:((?[X439:$i]:(((X438 @ X439)&![X440:$i]:(((X438 @ X440)=>((X439)=(X440))))))=>?[X441:$i]:(((X438 @ X441)&![X442:$i]:(((X438 @ X442)=>((X441)=(X442))))))))=>(![X443:$i > $o]:((?[X444:$i]:((X443 @ X444))=>(![X445:$i, X446:$i]:(((X443 @ X445)=>((X443 @ X446)=>((X445)=(X446)))))=>?[X447:$i]:(((X443 @ X447)&![X448:$i]:(((X443 @ X448)=>((X447)=(X448)))))))))=>(![X449:$i > $o]:((?[X450:$i]:(![X451:$i]:(((X449 @ X451)<=>((X451)=(X450)))))=>?[X452:$i]:(((X449 @ X452)&![X453:$i]:(((X449 @ X453)=>((X452)=(X453))))))))=>(![X454:$i, X455:$i]:((((X454)=(X455))=>![X456:$i, X457:$i]:((((X456)=(X457))=>((in @ X456 @ X454)=>(in @ X457 @ X455))))))=>(![X458:$i, X459:$i]:((((X458)=(X459))=>![X460:$i, X461:$i]:((((X460)=(X461))=>((in @ X460 @ X458)<=>(in @ X461 @ X459))))))=>(![X462:$i > $o]:((?[X463:$i]:(((X462 @ X463)&![X464:$i]:(((X462 @ X464)=>((X463)=(X464))))))=>![X465:$i, X466:$i]:(((X462 @ X465)=>((X462 @ X466)=>((X465)=(X466)))))))=>(![X467:$i > $o, X468:$i > $o]:((![X469:$i, X470:$i]:((((X469)=(X470))=>((X467 @ X469)<=>(X468 @ X470))))=>(?[X471:$i]:(((X467 @ X471)&![X472:$i]:(((X467 @ X472)=>((X471)=(X472))))))<=>?[X473:$i]:(((X468 @ X473)&![X474:$i]:(((X468 @ X474)=>((X473)=(X474)))))))))=>(((emptyset)=(emptyset))=>(![X475:$i, X476:$i]:((((X475)=(X476))=>![X477:$i, X478:$i]:((((X477)=(X478))=>((setadjoin @ X475 @ X477)=(setadjoin @ X476 @ X478))))))=>(![X479:$i, X480:$i]:((((X479)=(X480))=>((powerset @ X479)=(powerset @ X480))))=>(![X481:$i, X482:$i]:((((X481)=(X482))=>((setunion @ X481)=(setunion @ X482))))=>(((omega)=(omega))=>(![X483:$i > $o]:((?[X484:$i]:(((X483 @ X484)&![X485:$i]:(((X483 @ X485)=>((X484)=(X485))))))=>![X486:$i, X487:$i]:(((X483 @ X486)=>((X483 @ X487)=>((X486)=(X487)))))))=>(![X488:$i > $o, X489:$i > $o]:((![X490:$i, X491:$i]:((((X490)=(X491))=>((X488 @ X490)<=>(X489 @ X491))))=>(?[X492:$i]:(((X488 @ X492)&![X493:$i]:(((X488 @ X493)=>((X492)=(X493))))))=>(?[X494:$i]:(((X489 @ X494)&![X495:$i]:(((X489 @ X495)=>((X494)=(X495))))))=>((descr @ X488)=(descr @ X489))))))=>(![X496:$i, X497:$i]:((((X496)=(X497))=>![X498:$i > $o, X499:$i > $o]:((![X500:$i]:(((in @ X500 @ X496)=>![X501:$i]:(((in @ X501 @ X497)=>(((X500)=(X501))=>((X498 @ X500)<=>(X499 @ X501)))))))=>((dsetconstr @ X496 @ X498)=(dsetconstr @ X497 @ X499))))))=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>![X502:$i]:(((in @ X502 @ X4)=>(in @ X502 @ 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)],[c_0_94, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_95]), foundationAx]), wellorderingAx]), c_0_96]), c_0_97]), c_0_98]), c_0_99]), c_0_100]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_101]), setext]), emptyI]), noeltsimpempty]), c_0_102]), c_0_103]), c_0_104]), c_0_105]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_106]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_107]), c_0_108]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_109]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_110]), c_0_111]), c_0_112]), inCongP]), in__Cong]), c_0_113]), c_0_114]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_115]), c_0_116]), c_0_117]), c_0_118])])]), c_0_119])).
% 0.07/0.28 thf(c_0_121, negated_conjecture, ![X503:$i, X504:$i, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i, X511:$i, X512:$i, X513:$i, X514:$i, X516:$i, X517:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$i, X525:$i, X526:$i > $i > $o, X527:$i, X529:$i, X532:$i, X534:$i, X535:$i, X536:$i, X537:$i, X539:$i, X540:$i > $o, X541:$i, X543:$i, X544:$i > $o, X545:$i, X546:$i, X547:$i > $o, X548:$i, X549:$i, X550:$i > $o, X551:$i, X552:$i > $o, X553:$i, X556:$i, X557:$o, X558:$i, X559:$i, X560:$o, X561:$i, X562:$i, X563:$i > $o, X564:$i, X567:$i, X568:$i, X571:$i, X573:$i, X575:$i, X576:$i > $o, X577:$i, X578:$i, X580:$i, X581:$i > $o, X582:$i, X583:$i, X584:$i, X585:$i, X586:$i, X587:$i, X588:$i, X589:$i, X590:$i, X591:$i, X592:$i, X593:$o, X594:$i, X595:$i, X596:$i, X597:$i, X598:$i, X599:$i, X601:$i, X602:$i, X603:$i, X604:$i, X605:$i, X606:$i, X607:$i, X608:$i, X609:$i, X610:$i, X611:$o, X613:$i, X614:$i, X615:$i > $o, X616:$i, X619:$i, X620:$i, X621:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i > $o, X640:$i, X641:$i > $o, X642:$i, X643:$i, X644:$i > $o, X645:$i, X647:$i, X648:$i > $o, X650:$i, X651:$i, X652:$i > $o, X654:$i, X655:$i, X656:$i > $o, X657:$i, X659:$o, X660:$o, X661:$i, X662:$i > $o, X664:$i, X665:$i, X666:$i > $o, X667:$i, X669:$i > $o, X670:$i, X673:$i, X674:$i > $o, X675:$i, X679:$i, X680:$i > $o, X681:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i > $o, X694:$i, X696:$i, X697:$i, X698:$i > $o, X699:$i > $o, X702:$i, X705:$i, X706:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i > $o, X719:$i, X721:$i, X722:$i, X723:$i > $o, X724:$i > $o, X727:$i, X729:$i, X731:$i, X732:$i, X733:$i > $o, X734:$i > $o, X739:$i]:((((~(in @ (esk1_2 @ X503 @ X504) @ X503)|~(in @ (esk1_2 @ X503 @ X504) @ X504)|((X503)=(X504)))&((in @ (esk1_2 @ X503 @ X504) @ X503)|(in @ (esk1_2 @ X503 @ X504) @ X504)|((X503)=(X504))))&(~(in @ X506 @ emptyset)&(((~(in @ X509 @ (setadjoin @ X507 @ X508))|(((X509)=(X507))|(in @ X509 @ X508)))&((((X509)!=(X507))|(in @ X509 @ (setadjoin @ X507 @ X508)))&(~(in @ X509 @ X508)|(in @ X509 @ (setadjoin @ X507 @ X508)))))&(((~(in @ X511 @ (powerset @ X510))|(~(in @ X512 @ X511)|(in @ X512 @ X510)))&(((in @ (esk2_2 @ X513 @ X514) @ X514)|(in @ X514 @ (powerset @ X513)))&(~(in @ (esk2_2 @ X513 @ X514) @ X513)|(in @ X514 @ (powerset @ X513)))))&(((((in @ X517 @ (esk3_2 @ X516 @ X517))|~(in @ X517 @ (setunion @ X516)))&((in @ (esk3_2 @ X516 @ X517) @ X516)|~(in @ X517 @ (setunion @ X516))))&(~(in @ X520 @ X521)|~(in @ X521 @ X519)|(in @ X520 @ (setunion @ X519))))&((in @ emptyset @ omega)&((~(in @ X522 @ omega)|(in @ (setadjoin @ X522 @ X522) @ omega))&(((((in @ (esk4_1 @ X523) @ omega)|~(in @ emptyset @ X523)|(~(in @ X525 @ omega)|(in @ X525 @ X523)))&((in @ (esk4_1 @ X523) @ X523)|~(in @ emptyset @ X523)|(~(in @ X525 @ omega)|(in @ X525 @ X523))))&(~(in @ (setadjoin @ (esk4_1 @ X523) @ (esk4_1 @ X523)) @ X523)|~(in @ emptyset @ X523)|(~(in @ X525 @ omega)|(in @ X525 @ X523))))&((((((in @ (esk8_3 @ X526 @ X527 @ X532) @ X527)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|(in @ (esk5_2 @ X526 @ X527) @ X527))&((X526 @ (esk8_3 @ X526 @ X527 @ X532) @ X532)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|(in @ (esk5_2 @ X526 @ X527) @ X527)))&(~(in @ X535 @ X527)|~(X526 @ X535 @ X534)|(in @ X534 @ (esk7_2 @ X526 @ X527))|(in @ (esk5_2 @ X526 @ X527) @ X527)))&(((((in @ (esk8_3 @ X526 @ X527 @ X532) @ X527)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|((X526 @ (esk5_2 @ X526 @ X527) @ (esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529)))&((X526 @ (esk8_3 @ X526 @ X527 @ X532) @ X532)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|((X526 @ (esk5_2 @ X526 @ X527) @ (esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529))))&(~(in @ X535 @ X527)|~(X526 @ X535 @ X534)|(in @ X534 @ (esk7_2 @ X526 @ X527))|((X526 @ (esk5_2 @ X526 @ X527) @ (esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529))))&((((in @ (esk8_3 @ X526 @ X527 @ X532) @ X527)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|(((X529)!=(esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529)))&((X526 @ (esk8_3 @ X526 @ X527 @ X532) @ X532)|~(in @ X532 @ (esk7_2 @ X526 @ X527))|(((X529)!=(esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529))))&(~(in @ X535 @ X527)|~(X526 @ X535 @ X534)|(in @ X534 @ (esk7_2 @ X526 @ X527))|(((X529)!=(esk6_3 @ X526 @ X527 @ X529))|~(X526 @ (esk5_2 @ X526 @ X527) @ X529))))))&((((in @ (esk9_1 @ X536) @ X536)|~(in @ X537 @ X536))&(~(in @ X539 @ (esk9_1 @ X536))|~(in @ X539 @ X536)|~(in @ X537 @ X536)))&((epred1_0)&((((X540 @ (esk10_2 @ X540 @ X541))|~(X540 @ X541)|(X540 @ (descr @ X540)))&(((X541)!=(esk10_2 @ X540 @ X541))|~(X540 @ X541)|(X540 @ (descr @ X540))))&((~(in @ X545 @ X543)|(~(X544 @ X545)|(in @ X545 @ (dsetconstr @ X543 @ X544))))&((~(in @ X548 @ (dsetconstr @ X546 @ X547))|(in @ X548 @ X546))&((~(in @ X551 @ (dsetconstr @ X549 @ X550))|(X550 @ X551))&(((((X552 @ (esk12_1 @ X552))|((X552 @ (esk11_2 @ X552 @ X553))|~(X552 @ X553)))&(~(X552 @ X556)|((esk12_1 @ X552)=(X556))|((X552 @ (esk11_2 @ X552 @ X553))|~(X552 @ X553))))&(((X552 @ (esk12_1 @ X552))|(((X553)!=(esk11_2 @ X552 @ X553))|~(X552 @ X553)))&(~(X552 @ X556)|((esk12_1 @ X552)=(X556))|(((X553)!=(esk11_2 @ X552 @ X553))|~(X552 @ X553)))))&((~(in @ X558 @ (prop2set @ ((X557))))|(X557))&((~(in @ X559 @ emptyset)|(X560))&((~(in @ X561 @ emptyset)|~($true))&(~(in @ X562 @ emptyset)&((((X563 @ (esk13_2 @ X563 @ X564))|~(X563 @ X564)|(X563 @ (esk14_1 @ X563)))&(((X564)!=(esk13_2 @ X563 @ X564))|~(X563 @ X564)|(X563 @ (esk14_1 @ X563))))&(((((in @ (esk16_2 @ X567 @ X568) @ X568)|((X567)=(X568))|(in @ (esk15_2 @ X567 @ X568) @ X567))&(~(in @ (esk16_2 @ X567 @ X568) @ X567)|((X567)=(X568))|(in @ (esk15_2 @ X567 @ X568) @ X567)))&(((in @ (esk16_2 @ X567 @ X568) @ X568)|((X567)=(X568))|~(in @ 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X591)))&(~(X593)|(X593)|~(X593)|~(in @ X592 @ (setadjoin @ X590 @ X591)))))&((~(in @ X596 @ (setadjoin @ X594 @ X595))|(((X596)=(X594))|(in @ X596 @ X595)))&(((dsetconstr @ X597 @ (^[Z0:$i]:($true)))=(X597))&((((in @ (esk20_2 @ X598 @ X599) @ X599)|(in @ X599 @ (powerset @ X598)))&(~(in @ (esk20_2 @ X598 @ X599) @ X598)|(in @ X599 @ (powerset @ X598))))&((in @ emptyset @ (powerset @ X601))&((in @ emptyset @ (powerset @ X602))&((~(in @ X604 @ (powerset @ X603))|(~(in @ X605 @ X604)|(in @ X605 @ X603)))&((~(in @ X607 @ X608)|(~(in @ X608 @ X606)|(in @ X607 @ (setunion @ X606))))&((((in @ X610 @ (esk21_3 @ X609 @ X610 @ X611))|(X611)|~(in @ X610 @ (setunion @ X609)))&(((in @ (esk21_3 @ X609 @ X610 @ X611) @ X609)|(X611)|~(in @ X610 @ (setunion @ X609)))&(~(X611)|(X611)|~(in @ X610 @ (setunion @ X609)))))&((~(in @ X614 @ X613)|(in @ X614 @ (powerset @ (setunion @ X613))))&((((~(X615 @ X619)|((X619)=(esk23_1 @ X615))|((X615 @ (esk22_2 @ X615 @ X616))|~(X615 @ X616)))&(((X620)!=(esk23_1 @ X615))|(X615 @ X620)|((X615 @ (esk22_2 @ X615 @ X616))|~(X615 @ X616))))&((~(X615 @ X619)|((X619)=(esk23_1 @ X615))|(((X616)!=(esk22_2 @ X615 @ X616))|~(X615 @ X616)))&(((X620)!=(esk23_1 @ X615))|(X615 @ X620)|(((X616)!=(esk22_2 @ X615 @ X616))|~(X615 @ X616)))))&((((in @ (esk24_1 @ X621) @ X621)|((X621)=(emptyset)))&(($true)|((X621)=(emptyset))))&((~(in @ X623 @ (setadjoin @ X624 @ emptyset))|((X623)=(X624)))&((((X625)=(X626))|~(in @ X626 @ (setadjoin @ X625 @ emptyset)))&((((X627)!=(X628))|(in @ X627 @ (setadjoin @ X628 @ emptyset)))&((~(in @ X629 @ (setadjoin @ X630 @ emptyset))|(in @ X630 @ (setadjoin @ X629 @ emptyset)))&((~(in @ X633 @ (setadjoin @ X631 @ (setadjoin @ X632 @ emptyset)))|(((X633)=(X631))|((X633)=(X632))))&((in @ X634 @ (setadjoin @ X634 @ (setadjoin @ X635 @ emptyset)))&((in @ X637 @ (setadjoin @ X636 @ (setadjoin @ X637 @ emptyset)))&((~(in @ X640 @ X638)|~(X639 @ X640)|(((dsetconstr @ X638 @ X639)!=(emptyset))|~($true)))&((~(in @ X642 @ emptyset)|(X641 @ X642))&((((in @ (esk25_2 @ X643 @ X644) @ X643)|(~(in @ X645 @ X643)|(X644 @ X645)))&(~(X644 @ (esk25_2 @ X643 @ X644))|(~(in @ X645 @ X643)|(X644 @ X645))))&((((in @ (esk26_2 @ X647 @ X648) @ X647)|(~(in @ X650 @ X647)|~(X648 @ X650)))&((X648 @ (esk26_2 @ X647 @ X648))|(~(in @ X650 @ X647)|~(X648 @ X650))))&((((in @ (esk27_2 @ X651 @ X652) @ X651)|(~(in @ X654 @ X651)|~(X652 @ X654)))&((X652 @ (esk27_2 @ X651 @ X652))|(~(in @ X654 @ X651)|~(X652 @ X654))))&((((in @ (esk28_2 @ X655 @ X656) @ X655)|(~(in @ X657 @ X655)|(X656 @ X657)))&(~(X656 @ (esk28_2 @ X655 @ X656))|(~(in @ X657 @ X655)|(X656 @ X657))))&((~(X659)|(in @ emptyset @ (prop2set @ ((X659)))))&((~(X660)|(set2prop @ (prop2set @ ((X660)))))&((((in @ (esk29_2 @ X661 @ X662) @ X661)|(~(in @ X664 @ X661)|~(X662 @ X664)))&((X662 @ (esk29_2 @ X661 @ X662))|(~(in @ X664 @ X661)|~(X662 @ X664))))&((((in @ (esk30_2 @ X665 @ X666) @ X665)|(~(in @ X667 @ X665)|(X666 @ X667)))&(~(X666 @ (esk30_2 @ X665 @ X666))|(~(in @ X667 @ X665)|(X666 @ X667))))&(((((X669 @ (esk32_1 @ X669))|((X669 @ (esk31_2 @ X669 @ X670))|~(X669 @ X670)))&(~(X669 @ X673)|((esk32_1 @ X669)=(X673))|((X669 @ (esk31_2 @ X669 @ X670))|~(X669 @ X670))))&(((X669 @ (esk32_1 @ X669))|(((X670)!=(esk31_2 @ X669 @ X670))|~(X669 @ X670)))&(~(X669 @ X673)|((esk32_1 @ X669)=(X673))|(((X670)!=(esk31_2 @ X669 @ X670))|~(X669 @ X670)))))&(((((X674 @ (esk35_1 @ X674))|(X674 @ (esk33_1 @ X674))|~(X674 @ X675))&(~(X674 @ X679)|((esk35_1 @ X674)=(X679))|(X674 @ (esk33_1 @ X674))|~(X674 @ X675)))&((((X674 @ (esk35_1 @ X674))|(X674 @ (esk34_1 @ X674))|~(X674 @ X675))&(~(X674 @ X679)|((esk35_1 @ X674)=(X679))|(X674 @ (esk34_1 @ X674))|~(X674 @ X675)))&(((X674 @ (esk35_1 @ X674))|((esk33_1 @ X674)!=(esk34_1 @ X674))|~(X674 @ X675))&(~(X674 @ X679)|((esk35_1 @ X674)=(X679))|((esk33_1 @ X674)!=(esk34_1 @ X674))|~(X674 @ X675)))))&(((((X680 @ (esk37_1 @ X680))|(~(X680 @ (esk36_2 @ X680 @ X681))|((esk36_2 @ X680 @ X681)!=(X681))))&(~(X680 @ X684)|((esk37_1 @ X680)=(X684))|(~(X680 @ (esk36_2 @ X680 @ X681))|((esk36_2 @ X680 @ X681)!=(X681)))))&(((X680 @ (esk37_1 @ X680))|((X680 @ (esk36_2 @ X680 @ X681))|((esk36_2 @ X680 @ X681)=(X681))))&(~(X680 @ X684)|((esk37_1 @ X680)=(X684))|((X680 @ (esk36_2 @ X680 @ X681))|((esk36_2 @ X680 @ X681)=(X681))))))&((((X685)!=(X686))|(((X687)!=(X688))|(~(in @ X687 @ X685)|(in @ X688 @ X686))))&(((~(in @ X691 @ X689)|(in @ X692 @ X690)|((X691)!=(X692))|((X689)!=(X690)))&(~(in @ X692 @ X690)|(in @ X691 @ X689)|((X691)!=(X692))|((X689)!=(X690))))&((((X693 @ (esk38_2 @ X693 @ X694))|~(X693 @ X694)|(~(X693 @ X696)|(~(X693 @ X697)|((X696)=(X697)))))&(((X694)!=(esk38_2 @ X693 @ X694))|~(X693 @ X694)|(~(X693 @ X696)|(~(X693 @ X697)|((X696)=(X697))))))&(((((((X699 @ (esk42_2 @ X698 @ X699))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699)))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699))))&(((X699 @ (esk42_2 @ X698 @ X699))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699)))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699)))))&((((X698 @ (esk44_2 @ X698 @ X699))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699)))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699))))&(((X698 @ (esk44_2 @ X698 @ X699))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699)))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((esk39_2 @ X698 @ X699)=(esk40_2 @ X698 @ X699))))))&((((((X699 @ (esk42_2 @ X698 @ X699))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699))))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699)))))&(((X699 @ (esk42_2 @ X698 @ X699))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699))))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699))))))&((((X698 @ (esk44_2 @ X698 @ X699))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699))))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699)))))&(((X698 @ (esk44_2 @ X698 @ X699))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699))))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|(~(X698 @ (esk39_2 @ X698 @ X699))|~(X699 @ (esk40_2 @ X698 @ X699)))))))&(((((X699 @ (esk42_2 @ X698 @ X699))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699))))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|((X698 @ (esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699)))))&(((X699 @ (esk42_2 @ X698 @ X699))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699))))&(~(X699 @ X705)|((esk42_2 @ X698 @ X699)=(X705))|(((X702)!=(esk41_3 @ X698 @ X699 @ X702))|~(X698 @ X702))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699))))))&((((X698 @ (esk44_2 @ X698 @ X699))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699))))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|((X699 @ (esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699)))))&(((X698 @ (esk44_2 @ X698 @ X699))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699))))&(~(X698 @ X709)|((esk44_2 @ X698 @ X699)=(X709))|(((X706)!=(esk43_3 @ X698 @ X699 @ X706))|~(X699 @ X706))|((X698 @ (esk39_2 @ X698 @ X699))|(X699 @ (esk40_2 @ X698 @ X699)))))))))&(((emptyset)=(emptyset))&((((X710)!=(X711))|(((X712)!=(X713))|((setadjoin @ X710 @ X712)=(setadjoin @ X711 @ X713))))&((((X714)!=(X715))|((powerset @ X714)=(powerset @ X715)))&((((X716)!=(X717))|((setunion @ X716)=(setunion @ X717)))&(((omega)=(omega))&((((X718 @ (esk45_2 @ X718 @ X719))|~(X718 @ X719)|(~(X718 @ X721)|(~(X718 @ X722)|((X721)=(X722)))))&(((X719)!=(esk45_2 @ X718 @ X719))|~(X718 @ X719)|(~(X718 @ X721)|(~(X718 @ X722)|((X721)=(X722))))))&((((((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((esk46_2 @ X723 @ X724)=(esk47_2 @ X723 @ X724)))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((esk46_2 @ X723 @ X724)=(esk47_2 @ X723 @ X724))))&(((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((esk46_2 @ X723 @ X724)=(esk47_2 @ X723 @ X724)))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((esk46_2 @ X723 @ X724)=(esk47_2 @ X723 @ X724)))))&(((((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|(~(X723 @ (esk46_2 @ X723 @ X724))|~(X724 @ (esk47_2 @ X723 @ X724))))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|(~(X723 @ (esk46_2 @ X723 @ X724))|~(X724 @ (esk47_2 @ X723 @ X724)))))&(((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|(~(X723 @ (esk46_2 @ X723 @ X724))|~(X724 @ (esk47_2 @ X723 @ X724))))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|(~(X723 @ (esk46_2 @ X723 @ X724))|~(X724 @ (esk47_2 @ X723 @ X724))))))&((((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((X723 @ (esk46_2 @ X723 @ X724))|(X724 @ (esk47_2 @ X723 @ X724))))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|((X723 @ (esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((X723 @ (esk46_2 @ X723 @ X724))|(X724 @ (esk47_2 @ X723 @ X724)))))&(((X724 @ (esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((X723 @ (esk46_2 @ X723 @ X724))|(X724 @ (esk47_2 @ X723 @ X724))))&(((X729)!=(esk49_3 @ X723 @ X724 @ X729))|~(X724 @ X729)|((descr @ X723)=(descr @ X724))|(((X727)!=(esk48_3 @ X723 @ X724 @ X727))|~(X723 @ X727))|((X723 @ (esk46_2 @ X723 @ X724))|(X724 @ (esk47_2 @ X723 @ X724))))))))&((((in @ (esk50_4 @ X731 @ X732 @ X733 @ X734) @ X731)|((dsetconstr @ X731 @ X733)=(dsetconstr @ X732 @ X734))|((X731)!=(X732)))&(((in @ (esk51_4 @ X731 @ X732 @ X733 @ X734) @ X732)|((dsetconstr @ X731 @ X733)=(dsetconstr @ X732 @ X734))|((X731)!=(X732)))&((((esk50_4 @ X731 @ X732 @ X733 @ X734)=(esk51_4 @ X731 @ X732 @ X733 @ X734))|((dsetconstr @ X731 @ X733)=(dsetconstr @ X732 @ X734))|((X731)!=(X732)))&((~(X733 @ (esk50_4 @ X731 @ X732 @ X733 @ X734))|~(X734 @ (esk51_4 @ X731 @ X732 @ X733 @ X734))|((dsetconstr @ X731 @ X733)=(dsetconstr @ X732 @ X734))|((X731)!=(X732)))&((X733 @ (esk50_4 @ X731 @ X732 @ X733 @ X734))|(X734 @ (esk51_4 @ X731 @ X732 @ X733 @ X734))|((dsetconstr @ X731 @ X733)=(dsetconstr @ X732 @ X734))|((X731)!=(X732)))))))&((~(in @ X739 @ esk52_0)|(in @ X739 @ esk53_0))&((in @ esk54_0 @ esk52_0)&~(in @ esk54_0 @ esk53_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_120])])])])])])])).
% 0.07/0.28 thf(c_0_122, negated_conjecture, ~((in @ esk54_0 @ esk53_0)), inference(split_conjunct,[status(thm)],[c_0_121])).
% 0.07/0.28 thf(c_0_123, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk53_0)|~((in @ X2 @ esk52_0)))), inference(split_conjunct,[status(thm)],[c_0_121])).
% 0.07/0.28 thf(c_0_124, negated_conjecture, (in @ esk54_0 @ esk52_0), inference(split_conjunct,[status(thm)],[c_0_121])).
% 0.07/0.28 thf(c_0_125, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_124])]), ['proof']).
% 0.07/0.28 % SZS output end CNFRefutation
% 0.07/0.28 % Parsed axioms : 169
% 0.07/0.28 % Removed by relevancy pruning/SinE : 0
% 0.07/0.28 % Initial clauses : 278
% 0.07/0.28 % Removed in clause preprocessing : 104
% 0.07/0.28 % Initial clauses in saturation : 174
% 0.07/0.28 % Processed clauses : 21
% 0.07/0.28 % ...of these trivial : 1
% 0.07/0.28 % ...subsumed : 5
% 0.07/0.28 % ...remaining for further processing : 15
% 0.07/0.28 % Other redundant clauses eliminated : 1
% 0.07/0.28 % Clauses deleted for lack of memory : 0
% 0.07/0.28 % Backward-subsumed : 0
% 0.07/0.28 % Backward-rewritten : 1
% 0.07/0.28 % Generated clauses : 2
% 0.07/0.28 % ...of the previous two non-redundant : 1
% 0.07/0.28 % ...aggressively subsumed : 0
% 0.07/0.28 % Contextual simplify-reflections : 0
% 0.07/0.28 % Paramodulations : 1
% 0.07/0.28 % Factorizations : 0
% 0.07/0.28 % NegExts : 0
% 0.07/0.28 % Equation resolutions : 1
% 0.07/0.28 % Disequality decompositions : 0
% 0.07/0.28 % Total rewrite steps : 3
% 0.07/0.28 % ...of those cached : 0
% 0.07/0.28 % Propositional unsat checks : 0
% 0.07/0.28 % Propositional check models : 0
% 0.07/0.28 % Propositional check unsatisfiable : 0
% 0.07/0.28 % Propositional clauses : 0
% 0.07/0.28 % Propositional clauses after purity: 0
% 0.07/0.28 % Propositional unsat core size : 0
% 0.07/0.28 % Propositional preprocessing time : 0.000
% 0.07/0.28 % Propositional encoding time : 0.000
% 0.07/0.28 % Propositional solver time : 0.000
% 0.07/0.28 % Success case prop preproc time : 0.000
% 0.07/0.28 % Success case prop encoding time : 0.000
% 0.07/0.28 % Success case prop solver time : 0.000
% 0.07/0.28 % Current number of processed clauses : 13
% 0.07/0.28 % Positive orientable unit clauses : 9
% 0.07/0.28 % Positive unorientable unit clauses: 0
% 0.07/0.28 % Negative unit clauses : 3
% 0.07/0.28 % Non-unit-clauses : 1
% 0.07/0.28 % Current number of unprocessed clauses: 154
% 0.07/0.28 % ...number of literals in the above : 594
% 0.07/0.28 % Current number of archived formulas : 0
% 0.07/0.28 % Current number of archived clauses : 1
% 0.07/0.28 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.28 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.28 % Non-unit clause-clause subsumptions : 0
% 0.07/0.28 % Unit Clause-clause subsumption calls : 2
% 0.07/0.28 % Rewrite failures with RHS unbound : 0
% 0.07/0.28 % BW rewrite match attempts : 1
% 0.07/0.28 % BW rewrite match successes : 1
% 0.07/0.28 % Condensation attempts : 0
% 0.07/0.28 % Condensation successes : 0
% 0.07/0.28 % Termbank termtop insertions : 23668
% 0.07/0.28 % Search garbage collected termcells : 9155
% 0.07/0.28
% 0.07/0.28 % -------------------------------------------------
% 0.07/0.28 % User time : 0.019 s
% 0.07/0.28 % System time : 0.006 s
% 0.07/0.28 % Total time : 0.024 s
% 0.07/0.28 % Maximum resident set size: 5852 pages
% 0.07/0.28
% 0.07/0.28 % -------------------------------------------------
% 0.07/0.28 % User time : 0.047 s
% 0.07/0.28 % System time : 0.023 s
% 0.07/0.28 % Total time : 0.070 s
% 0.07/0.28 % Maximum resident set size: 4864 pages
% 0.07/0.28 % E exiting
%------------------------------------------------------------------------------