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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEU534^1 : 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 : n004.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 08:26:37 AM UTC 2026

% Result   : Theorem 0.23s 0.29s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU534^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n004.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 13:48:37 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.07/0.25  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.UnB5vaycNZ/E---3.1_1314387.p
% 0.23/0.29  % Version: 3.5.1-ho
% 0.23/0.29  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29  % Starting sh5l with 300s (1) cores
% 0.23/0.29  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.29  % Starting new_bool_2 with 300s (1) cores
% 0.23/0.29  % new_ho_10 with pid 1314420 completed with status 0
% 0.23/0.29  % Result found by new_ho_10
% 0.23/0.29  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.29  % No SInE strategy applied
% 0.23/0.29  % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.23/0.29  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.29  % Starting SubtermCWHack with 151s (1) cores
% 0.23/0.29  % Starting new_ho_10 with 901s (1) cores
% 0.23/0.29  % Starting sh5l with 151s (1) cores
% 0.23/0.29  % Starting new_bool_1 with 151s (1) cores
% 0.23/0.29  % Starting new_bool_2 with 146s (1) cores
% 0.23/0.29  % new_bool_2 with pid 1314430 completed with status 0
% 0.23/0.29  % Result found by new_bool_2
% 0.23/0.29  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.29  % No SInE strategy applied
% 0.23/0.29  % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.23/0.29  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.29  % Starting SubtermCWHack with 151s (1) cores
% 0.23/0.29  % Starting new_ho_10 with 901s (1) cores
% 0.23/0.29  % Starting sh5l with 151s (1) cores
% 0.23/0.29  % Starting new_bool_1 with 151s (1) cores
% 0.23/0.29  % Starting new_bool_2 with 146s (1) cores
% 0.23/0.29  % Preprocessing time       : 0.002 s
% 0.23/0.29  % Presaturation interreduction done
% 0.23/0.29  
% 0.23/0.29  % Proof found!
% 0.23/0.29  % SZS status Theorem
% 0.23/0.29  % SZS output start CNFRefutation
% 0.23/0.29  thf(decl_23, type, in: $i > $i > $o).
% 0.23/0.29  thf(decl_24, type, exu: ($i > $o) > $o).
% 0.23/0.29  thf(decl_25, type, setextAx: $o).
% 0.23/0.29  thf(decl_26, type, emptyset: $i).
% 0.23/0.29  thf(decl_27, type, emptysetAx: $o).
% 0.23/0.29  thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.23/0.29  thf(decl_29, type, setadjoinAx: $o).
% 0.23/0.29  thf(decl_30, type, powerset: $i > $i).
% 0.23/0.29  thf(decl_31, type, powersetAx: $o).
% 0.23/0.29  thf(decl_32, type, setunion: $i > $i).
% 0.23/0.29  thf(decl_33, type, setunionAx: $o).
% 0.23/0.29  thf(decl_34, type, omega: $i).
% 0.23/0.29  thf(decl_35, type, omega0Ax: $o).
% 0.23/0.29  thf(decl_36, type, omegaSAx: $o).
% 0.23/0.29  thf(decl_37, type, omegaIndAx: $o).
% 0.23/0.29  thf(decl_38, type, replAx: $o).
% 0.23/0.29  thf(decl_39, type, foundationAx: $o).
% 0.23/0.29  thf(decl_40, type, wellorderingAx: $o).
% 0.23/0.29  thf(decl_41, type, descr: ($i > $o) > $i).
% 0.23/0.29  thf(decl_42, type, descrp: $o).
% 0.23/0.29  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.23/0.29  thf(decl_44, type, dsetconstrI: $o).
% 0.23/0.29  thf(decl_45, type, dsetconstrEL: $o).
% 0.23/0.29  thf(decl_46, type, dsetconstrER: $o).
% 0.23/0.29  thf(decl_47, type, exuE1: $o).
% 0.23/0.29  thf(decl_48, type, prop2set: $o > $i).
% 0.23/0.29  thf(decl_49, type, prop2setE: $o).
% 0.23/0.29  thf(decl_50, type, emptysetE: $o).
% 0.23/0.29  thf(decl_51, type, emptysetimpfalse: $o).
% 0.23/0.29  thf(decl_52, type, notinemptyset: $o).
% 0.23/0.29  thf(decl_53, type, exuE3e: $o).
% 0.23/0.29  thf(decl_54, type, setext: $o).
% 0.23/0.29  thf(decl_55, type, emptyI: $o).
% 0.23/0.29  thf(decl_56, type, noeltsimpempty: $o).
% 0.23/0.29  thf(decl_57, type, setbeta: $o).
% 0.23/0.29  thf(decl_58, type, nonempty: $i > $o).
% 0.23/0.29  thf(decl_59, type, nonemptyE1: $o).
% 0.23/0.29  thf(decl_60, type, nonemptyI: $o).
% 0.23/0.29  thf(decl_61, type, nonemptyI1: $o).
% 0.23/0.29  thf(decl_62, type, setadjoinIL: $o).
% 0.23/0.29  thf(decl_63, type, emptyinunitempty: $o).
% 0.23/0.29  thf(decl_64, type, setadjoinIR: $o).
% 0.23/0.29  thf(decl_65, type, setadjoinE: $o).
% 0.23/0.29  thf(decl_66, type, setadjoinOr: $o).
% 0.23/0.29  thf(decl_67, type, setoftrueEq: $o).
% 0.23/0.29  thf(decl_68, type, powersetI: $o).
% 0.23/0.29  thf(decl_69, type, emptyinPowerset: $o).
% 0.23/0.29  thf(decl_70, type, emptyInPowerset: $o).
% 0.23/0.29  thf(decl_71, type, powersetE: $o).
% 0.23/0.29  thf(decl_72, type, setunionI: $o).
% 0.23/0.29  thf(decl_73, type, setunionE: $o).
% 0.23/0.29  thf(decl_74, type, subPowSU: $o).
% 0.23/0.29  thf(decl_75, type, exuE2: $o).
% 0.23/0.29  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.23/0.29  thf(decl_77, type, uniqinunit: $o).
% 0.23/0.29  thf(decl_78, type, notinsingleton: $o).
% 0.23/0.29  thf(decl_79, type, eqinunit: $o).
% 0.23/0.29  thf(decl_80, type, singletonsswitch: $o).
% 0.23/0.29  thf(decl_81, type, upairsetE: $o).
% 0.23/0.29  thf(decl_82, type, upairsetIL: $o).
% 0.23/0.29  thf(decl_83, type, upairsetIR: $o).
% 0.23/0.29  thf(decl_84, type, epred1_0: $o).
% 0.23/0.29  thf(decl_85, type, esk1_2: $i > $i > $i).
% 0.23/0.29  thf(decl_86, type, esk2_2: $i > $i > $i).
% 0.23/0.29  thf(decl_87, type, esk3_2: $i > $i > $i).
% 0.23/0.29  thf(decl_88, type, esk4_1: $i > $i).
% 0.23/0.29  thf(decl_89, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.23/0.29  thf(decl_90, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.29  thf(decl_91, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.23/0.29  thf(decl_92, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.29  thf(decl_93, type, esk9_1: $i > $i).
% 0.23/0.29  thf(decl_94, type, esk10_2: ($i > $o) > $i > $i).
% 0.23/0.29  thf(decl_95, type, esk11_2: ($i > $o) > $i > $i).
% 0.23/0.29  thf(decl_96, type, esk12_1: ($i > $o) > $i).
% 0.23/0.29  thf(decl_97, type, esk13_2: ($i > $o) > $i > $i).
% 0.23/0.29  thf(decl_98, type, esk14_1: ($i > $o) > $i).
% 0.23/0.29  thf(decl_99, type, esk15_2: $i > $i > $i).
% 0.23/0.29  thf(decl_100, type, esk16_2: $i > $i > $i).
% 0.23/0.29  thf(decl_101, type, esk17_1: $i > $i).
% 0.23/0.29  thf(decl_102, type, esk18_1: $i > $i).
% 0.23/0.29  thf(decl_103, type, esk19_1: $i > $i).
% 0.23/0.29  thf(decl_104, type, esk20_2: $i > $i > $i).
% 0.23/0.29  thf(decl_105, type, esk21_3: $i > $i > $o > $i).
% 0.23/0.29  thf(decl_106, type, esk22_2: ($i > $o) > $i > $i).
% 0.23/0.29  thf(decl_107, type, esk23_1: ($i > $o) > $i).
% 0.23/0.29  thf(decl_108, type, esk24_1: $i > $i).
% 0.23/0.29  thf(decl_109, type, esk25_0: $i).
% 0.23/0.29  thf(decl_110, type, epred2_0: $i > $o).
% 0.23/0.29  thf(decl_111, type, esk26_0: $i).
% 0.23/0.29  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', replAx)).
% 0.23/0.29  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', exu)).
% 0.23/0.29  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', descrp)).
% 0.23/0.29  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', exuE1)).
% 0.23/0.29  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', exuE3e)).
% 0.23/0.29  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', nonempty)).
% 0.23/0.29  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', nonemptyI)).
% 0.23/0.29  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', exuE2)).
% 0.23/0.29  thf(emptyE1, 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)=>![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.UnB5vaycNZ/E---3.1_1314387.p', emptyE1)).
% 0.23/0.29  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', dsetconstrI)).
% 0.23/0.29  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', dsetconstrEL)).
% 0.23/0.29  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', dsetconstrER)).
% 0.23/0.29  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setbeta)).
% 0.23/0.29  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', nonemptyE1)).
% 0.23/0.29  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', nonemptyI1)).
% 0.23/0.29  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setoftrueEq)).
% 0.23/0.29  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', nonemptyImpWitness)).
% 0.23/0.29  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setextAx)).
% 0.23/0.29  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptysetAx)).
% 0.23/0.29  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setadjoinAx)).
% 0.23/0.29  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', powersetAx)).
% 0.23/0.29  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setunionAx)).
% 0.23/0.29  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', omega0Ax)).
% 0.23/0.29  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', omegaSAx)).
% 0.23/0.29  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.UnB5vaycNZ/E---3.1_1314387.p', omegaIndAx)).
% 0.23/0.29  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.UnB5vaycNZ/E---3.1_1314387.p', foundationAx)).
% 0.23/0.29  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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', wellorderingAx)).
% 0.23/0.29  thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', prop2setE)).
% 0.23/0.29  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptysetE)).
% 0.23/0.29  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptysetimpfalse)).
% 0.23/0.29  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', notinemptyset)).
% 0.23/0.29  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.UnB5vaycNZ/E---3.1_1314387.p', setext)).
% 0.23/0.29  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptyI)).
% 0.23/0.29  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', noeltsimpempty)).
% 0.23/0.29  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setadjoinIL)).
% 0.23/0.29  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptyinunitempty)).
% 0.23/0.29  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setadjoinIR)).
% 0.23/0.29  thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setadjoinE)).
% 0.23/0.29  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setadjoinOr)).
% 0.23/0.29  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', powersetI)).
% 0.23/0.29  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptyinPowerset)).
% 0.23/0.29  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', emptyInPowerset)).
% 0.23/0.29  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', powersetE)).
% 0.23/0.29  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setunionI)).
% 0.23/0.29  thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', setunionE)).
% 0.23/0.29  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', subPowSU)).
% 0.23/0.29  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', uniqinunit)).
% 0.23/0.29  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', notinsingleton)).
% 0.23/0.29  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', eqinunit)).
% 0.23/0.29  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', singletonsswitch)).
% 0.23/0.29  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', upairsetE)).
% 0.23/0.29  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', upairsetIL)).
% 0.23/0.29  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.UnB5vaycNZ/E---3.1_1314387.p', upairsetIR)).
% 0.23/0.29  thf(c_0_53, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.23/0.29  thf(c_0_54, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.23/0.29  thf(c_0_55, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.23/0.29  thf(c_0_56, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.23/0.29  thf(c_0_57, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.23/0.29  thf(c_0_58, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.23/0.29  thf(c_0_59, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.23/0.29  thf(c_0_60, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.23/0.29  thf(c_0_61, 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)=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[emptyE1])).
% 0.23/0.29  thf(c_0_62, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X154:$i]:(((((X6 @ X2 @ X154)))&(![X155:$i]:(((((X6 @ X2 @ X155)))=>(((X154)=(X155)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_53, c_0_54])).
% 0.23/0.29  thf(c_0_63, plain, ((descrp)=(![X1:$i > $o]:((((?[X156:$i]:(((((X1 @ X156)))&(![X157:$i]:(((((X1 @ X157)))=>(((X156)=(X157))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_55, c_0_54])).
% 0.23/0.29  thf(c_0_64, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.23/0.29  thf(c_0_65, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.23/0.29  thf(c_0_66, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.23/0.29  thf(c_0_67, plain, ((exuE1)=(![X1:$i > $o]:((((?[X158:$i]:(((((X1 @ X158)))&(![X159:$i]:(((((X1 @ X159)))=>(((X158)=(X159))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_54])).
% 0.23/0.29  thf(c_0_68, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X160:$i]:(((((X1 @ X160)))&(![X161:$i]:(((((X1 @ X161)))=>(((X160)=(X161))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_57, c_0_54])).
% 0.23/0.29  thf(c_0_69, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.23/0.29  thf(c_0_70, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_58])).
% 0.23/0.29  thf(c_0_71, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_59, c_0_58])).
% 0.23/0.29  thf(c_0_72, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_58])).
% 0.23/0.29  thf(c_0_73, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.23/0.29  thf(c_0_74, plain, ((exuE2)=(![X1:$i > $o]:((((?[X162:$i]:(((((X1 @ X162)))&(![X163:$i]:(((((X1 @ X163)))=>(((X162)=(X163))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_54])).
% 0.23/0.29  thf(c_0_75, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_58])).
% 0.23/0.29  thf(c_0_76, plain, ((epred1_0)<=>![X193:$i]:(?[X194:$i]:((((![X195:$i]:(((in @ X195 @ X194)=>![X196:$i]:(((in @ X196 @ X195)=>(in @ X196 @ X193)))))&![X197:$i, X198:$i]:((((in @ X197 @ X193)&(in @ X198 @ X193))=>(![X199:$i]:(((in @ X199 @ X194)=>((in @ X197 @ X199)<=>(in @ X198 @ X199))))=>((X197)=(X198))))))&![X200:$i, X201:$i]:((((in @ X200 @ X194)&(in @ X201 @ X194))=>(![X202:$i]:(((in @ X202 @ X200)=>(in @ X202 @ X201)))|![X203:$i]:(((in @ X203 @ X201)=>(in @ X203 @ X200)))))))&![X204:$i]:(((![X205:$i]:(((in @ X205 @ X204)=>(in @ X205 @ X193)))&?[X206:$i]:((in @ X206 @ X204)))=>?[X207:$i, X208:$i]:(((((in @ X207 @ X194)&(in @ X208 @ X204))&~(?[X209:$i]:(((in @ X209 @ X207)&(in @ X209 @ X204)))))&![X210:$i]:(((in @ X210 @ X194)=>(![X211:$i]:(((in @ X211 @ X210)=>(in @ X211 @ X207)))|(in @ X208 @ X210)))))))))))), introduced(definition)).
% 0.23/0.29  thf(c_0_77, negated_conjecture, ~((![X164:$i, X165:$i]:((![X166:$i]:(((in @ X166 @ X164)<=>(in @ X166 @ X165)))=>((X164)=(X165))))=>(![X167:$i]:(~(in @ X167 @ emptyset))=>(![X168:$i, X169:$i, X170:$i]:(((in @ X170 @ (setadjoin @ X168 @ X169))<=>(((X170)=(X168))|(in @ X170 @ X169))))=>(![X171:$i, X172:$i]:(((in @ X172 @ (powerset @ X171))<=>![X173:$i]:(((in @ X173 @ X172)=>(in @ X173 @ X171)))))=>(![X174:$i, X175:$i]:(((in @ X175 @ (setunion @ X174))<=>?[X176:$i]:(((in @ X175 @ X176)&(in @ X176 @ X174)))))=>((in @ emptyset @ omega)=>(![X177:$i]:(((in @ X177 @ omega)=>(in @ (setadjoin @ X177 @ X177) @ omega)))=>(![X178:$i]:((((in @ emptyset @ X178)&![X179:$i]:((((in @ X179 @ omega)&(in @ X179 @ X178))=>(in @ (setadjoin @ X179 @ X179) @ X178))))=>![X180:$i]:(((in @ X180 @ omega)=>(in @ X180 @ X178)))))=>(![X181:$i > $i > $o, X182:$i]:((![X183:$i]:(((in @ X183 @ X182)=>?[X184:$i]:(((X181 @ X183 @ X184)&![X185:$i]:(((X181 @ X183 @ X185)=>((X184)=(X185))))))))=>?[X186:$i]:(![X187:$i]:(((in @ X187 @ X186)<=>?[X188:$i]:(((in @ X188 @ X182)&(X181 @ X188 @ X187))))))))=>(![X189:$i]:((?[X190:$i]:((in @ X190 @ X189))=>?[X191:$i]:(((in @ X191 @ X189)&~(?[X192:$i]:(((in @ X192 @ X191)&(in @ X192 @ X189))))))))=>((epred1_0)=>(![X212:$i > $o]:((?[X213:$i]:(((X212 @ X213)&![X214:$i]:(((X212 @ X214)=>((X213)=(X214))))))=>(X212 @ (descr @ (^[Z0:$i]:(X212 @ Z0))))))=>(![X215:$i, X216:$i > $o, X217:$i]:(((in @ X217 @ X215)=>((X216 @ X217)=>(in @ X217 @ (dsetconstr @ X215 @ X216)))))=>(![X218:$i, X219:$i > $o, X220:$i]:(((in @ X220 @ (dsetconstr @ X218 @ X219))=>(in @ X220 @ X218)))=>(![X221:$i, X222:$i > $o, X223:$i]:(((in @ X223 @ (dsetconstr @ X221 @ X222))=>(X222 @ X223)))=>(![X224:$i > $o]:((?[X225:$i]:(((X224 @ X225)&![X226:$i]:(((X224 @ X226)=>((X225)=(X226))))))=>?[X227:$i]:(((X224 @ X227)&![X228:$i]:(((X224 @ X228)=>((X227)=(X228))))))))=>(![X229:$o, X230:$i]:(((in @ X230 @ (prop2set @ ((X229))))=>(X229)))=>(![X231:$i]:(((in @ X231 @ emptyset)=>![X232:$o]:((X232))))=>(![X233:$i]:(((in @ X233 @ emptyset)=>~($true)))=>(![X234:$i]:(~(in @ X234 @ emptyset))=>(![X235:$i > $o]:((?[X236:$i]:(((X235 @ X236)&![X237:$i]:(((X235 @ X237)=>((X236)=(X237))))))=>?[X238:$i]:((X235 @ X238))))=>(![X239:$i, X240:$i]:((![X241:$i]:(((in @ X241 @ X239)=>(in @ X241 @ X240)))=>(![X242:$i]:(((in @ X242 @ X240)=>(in @ X242 @ X239)))=>((X239)=(X240)))))=>(![X243:$i]:((![X244:$i]:(~(in @ X244 @ X243))=>((X243)=(emptyset))))=>(![X245:$i]:((![X246:$i]:(~(in @ X246 @ X245))=>((X245)=(emptyset))))=>(![X247:$i, X248:$i > $o, X249:$i]:(((in @ X249 @ X247)=>((in @ X249 @ (dsetconstr @ X247 @ X248))<=>(X248 @ X249))))=>(![X250:$i]:((((X250)!=(emptyset))=>?[X251:$i]:((in @ X251 @ X250))))=>(![X252:$i, X253:$i > $o, X254:$i]:(((in @ X254 @ X252)=>((X253 @ X254)=>((dsetconstr @ X252 @ X253)!=(emptyset)))))=>(![X255:$i]:((?[X256:$i]:((in @ X256 @ X255))=>((X255)!=(emptyset))))=>(![X257:$i, X258:$i]:((in @ X257 @ (setadjoin @ X257 @ X258)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X259:$i, X260:$i, X261:$i]:(((in @ X261 @ X260)=>(in @ X261 @ (setadjoin @ X259 @ X260))))=>(![X262:$i, X263:$i, X264:$i]:(((in @ X264 @ (setadjoin @ X262 @ X263))=>![X265:$o]:(((((X264)=(X262))=>(X265))=>(((in @ X264 @ X263)=>(X265))=>(X265))))))=>(![X266:$i, X267:$i, X268:$i]:(((in @ X268 @ (setadjoin @ X266 @ X267))=>(((X268)=(X266))|(in @ X268 @ X267))))=>(![X269:$i]:(((dsetconstr @ X269 @ (^[Z0:$i]:($true)))=(X269)))=>(![X270:$i, X271:$i]:((![X272:$i]:(((in @ X272 @ X271)=>(in @ X272 @ X270)))=>(in @ X271 @ (powerset @ X270))))=>(![X273:$i]:((in @ emptyset @ (powerset @ X273)))=>(![X274:$i]:((in @ emptyset @ (powerset @ X274)))=>(![X275:$i, X276:$i, X277:$i]:(((in @ X276 @ (powerset @ X275))=>((in @ X277 @ X276)=>(in @ X277 @ X275))))=>(![X278:$i, X279:$i, X280:$i]:(((in @ X279 @ X280)=>((in @ X280 @ X278)=>(in @ X279 @ (setunion @ X278)))))=>(![X281:$i, X282:$i]:(((in @ X282 @ (setunion @ X281))=>![X283:$o]:((![X284:$i]:(((in @ X282 @ X284)=>((in @ X284 @ X281)=>(X283))))=>(X283)))))=>(![X285:$i, X286:$i]:(((in @ X286 @ X285)=>(in @ X286 @ (powerset @ (setunion @ X285)))))=>(![X287:$i > $o]:((?[X288:$i]:(((X287 @ X288)&![X289:$i]:(((X287 @ X289)=>((X288)=(X289))))))=>?[X290:$i]:(![X291:$i]:(((X287 @ X291)<=>((X291)=(X290)))))))=>(![X292:$i]:((((X292)!=(emptyset))=>?[X293:$i]:(((in @ X293 @ X292)&$true))))=>(![X294:$i, X295:$i]:(((in @ X294 @ (setadjoin @ X295 @ emptyset))=>((X294)=(X295))))=>(![X296:$i, X297:$i]:((((X296)!=(X297))=>~(in @ X297 @ (setadjoin @ X296 @ emptyset))))=>(![X298:$i, X299:$i]:((((X298)=(X299))=>(in @ X298 @ (setadjoin @ X299 @ emptyset))))=>(![X300:$i, X301:$i]:(((in @ X300 @ (setadjoin @ X301 @ emptyset))=>(in @ X301 @ (setadjoin @ X300 @ emptyset))))=>(![X302:$i, X303:$i, X304:$i]:(((in @ X304 @ (setadjoin @ X302 @ (setadjoin @ X303 @ emptyset)))=>(((X304)=(X302))|((X304)=(X303)))))=>(![X305:$i, X306:$i]:((in @ X305 @ (setadjoin @ X305 @ (setadjoin @ X306 @ emptyset))))=>(![X307:$i, X308:$i]:((in @ X308 @ (setadjoin @ X307 @ (setadjoin @ X308 @ emptyset))))=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ X1)=(emptyset))=>~($true))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(fof_simplification,[status(thm)],[c_0_61]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_62]), foundationAx]), wellorderingAx]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_68]), setext]), emptyI]), noeltsimpempty]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_73]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_74]), c_0_75]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR])])]), c_0_76])).
% 0.23/0.29  thf(c_0_78, negated_conjecture, ![X311:$i, X312:$i, X314:$i, X315:$i, X316:$i, X317:$i, X318:$i, X319:$i, X320:$i, X321:$i, X322:$i, X324:$i, X325:$i, X327:$i, X328:$i, X329:$i, X330:$i, X331:$i, X333:$i, X334:$i > $i > $o, X335:$i, X337:$i, X340:$i, X342:$i, X343:$i, X344:$i, X345:$i, X347:$i, X348:$i > $o, X349:$i, X351:$i, X352:$i > $o, X353:$i, X354:$i, X355:$i > $o, X356:$i, X357:$i, X358:$i > $o, X359:$i, X360:$i > $o, X361:$i, X364:$i, X365:$o, X366:$i, X367:$i, X368:$o, X369:$i, X370:$i, X371:$i > $o, X372:$i, X375:$i, X376:$i, X379:$i, X381:$i, X383:$i, X384:$i > $o, X385:$i, X386:$i, X388:$i, X389:$i > $o, X390:$i, X391:$i, X392:$i, X393:$i, X394:$i, X395:$i, X396:$i, X397:$i, X398:$i, X399:$i, X400:$i, X401:$o, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X409:$i, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X419:$o, X421:$i, X422:$i, X423:$i > $o, X424:$i, X427:$i, X428:$i, X429:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i]:((((~(in @ (esk1_2 @ X311 @ X312) @ X311)|~(in @ (esk1_2 @ X311 @ X312) @ X312)|((X311)=(X312)))&((in @ (esk1_2 @ X311 @ X312) @ X311)|(in @ (esk1_2 @ X311 @ X312) @ X312)|((X311)=(X312))))&(~(in @ X314 @ emptyset)&(((~(in @ X317 @ (setadjoin @ X315 @ X316))|(((X317)=(X315))|(in @ X317 @ X316)))&((((X317)!=(X315))|(in @ X317 @ (setadjoin @ X315 @ X316)))&(~(in @ X317 @ X316)|(in @ X317 @ (setadjoin @ X315 @ X316)))))&(((~(in @ X319 @ (powerset @ X318))|(~(in @ X320 @ X319)|(in @ X320 @ X318)))&(((in @ (esk2_2 @ X321 @ X322) @ X322)|(in @ X322 @ (powerset @ X321)))&(~(in @ (esk2_2 @ X321 @ X322) @ X321)|(in @ X322 @ (powerset @ X321)))))&(((((in @ X325 @ (esk3_2 @ X324 @ X325))|~(in @ X325 @ (setunion @ X324)))&((in @ (esk3_2 @ X324 @ X325) @ X324)|~(in @ X325 @ (setunion @ X324))))&(~(in @ X328 @ X329)|~(in @ X329 @ X327)|(in @ X328 @ (setunion @ X327))))&((in @ emptyset @ omega)&((~(in @ X330 @ omega)|(in @ (setadjoin @ X330 @ X330) @ omega))&(((((in @ (esk4_1 @ X331) @ omega)|~(in @ emptyset @ X331)|(~(in @ X333 @ omega)|(in @ X333 @ X331)))&((in @ (esk4_1 @ X331) @ X331)|~(in @ emptyset @ X331)|(~(in @ X333 @ omega)|(in @ X333 @ X331))))&(~(in @ (setadjoin @ (esk4_1 @ X331) @ (esk4_1 @ X331)) @ X331)|~(in @ emptyset @ X331)|(~(in @ X333 @ omega)|(in @ X333 @ X331))))&((((((in @ (esk8_3 @ X334 @ X335 @ X340) @ X335)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|(in @ (esk5_2 @ X334 @ X335) @ X335))&((X334 @ (esk8_3 @ X334 @ X335 @ X340) @ X340)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|(in @ (esk5_2 @ X334 @ X335) @ X335)))&(~(in @ X343 @ X335)|~(X334 @ X343 @ X342)|(in @ X342 @ (esk7_2 @ X334 @ X335))|(in @ (esk5_2 @ X334 @ X335) @ X335)))&(((((in @ (esk8_3 @ X334 @ X335 @ X340) @ X335)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|((X334 @ (esk5_2 @ X334 @ X335) @ (esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337)))&((X334 @ (esk8_3 @ X334 @ X335 @ X340) @ X340)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|((X334 @ (esk5_2 @ X334 @ X335) @ (esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337))))&(~(in @ X343 @ X335)|~(X334 @ X343 @ X342)|(in @ X342 @ (esk7_2 @ X334 @ X335))|((X334 @ (esk5_2 @ X334 @ X335) @ (esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337))))&((((in @ (esk8_3 @ X334 @ X335 @ X340) @ X335)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|(((X337)!=(esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337)))&((X334 @ (esk8_3 @ X334 @ X335 @ X340) @ X340)|~(in @ X340 @ (esk7_2 @ X334 @ X335))|(((X337)!=(esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337))))&(~(in @ X343 @ X335)|~(X334 @ X343 @ X342)|(in @ X342 @ (esk7_2 @ X334 @ X335))|(((X337)!=(esk6_3 @ X334 @ X335 @ X337))|~(X334 @ (esk5_2 @ X334 @ X335) @ X337))))))&((((in @ (esk9_1 @ X344) @ X344)|~(in @ X345 @ X344))&(~(in @ X347 @ (esk9_1 @ X344))|~(in @ X347 @ X344)|~(in @ X345 @ X344)))&((epred1_0)&((((X348 @ (esk10_2 @ X348 @ X349))|~(X348 @ X349)|(X348 @ (descr @ X348)))&(((X349)!=(esk10_2 @ X348 @ X349))|~(X348 @ X349)|(X348 @ (descr @ X348))))&((~(in @ X353 @ X351)|(~(X352 @ X353)|(in @ X353 @ (dsetconstr @ X351 @ X352))))&((~(in @ X356 @ (dsetconstr @ X354 @ X355))|(in @ X356 @ X354))&((~(in @ X359 @ (dsetconstr @ X357 @ X358))|(X358 @ X359))&(((((X360 @ (esk12_1 @ X360))|((X360 @ (esk11_2 @ X360 @ X361))|~(X360 @ X361)))&(~(X360 @ X364)|((esk12_1 @ X360)=(X364))|((X360 @ (esk11_2 @ X360 @ X361))|~(X360 @ X361))))&(((X360 @ (esk12_1 @ X360))|(((X361)!=(esk11_2 @ X360 @ X361))|~(X360 @ X361)))&(~(X360 @ X364)|((esk12_1 @ X360)=(X364))|(((X361)!=(esk11_2 @ X360 @ X361))|~(X360 @ X361)))))&((~(in @ X366 @ (prop2set @ ((X365))))|(X365))&((~(in @ X367 @ emptyset)|(X368))&((~(in @ X369 @ emptyset)|~($true))&(~(in @ X370 @ emptyset)&((((X371 @ (esk13_2 @ X371 @ X372))|~(X371 @ X372)|(X371 @ (esk14_1 @ X371)))&(((X372)!=(esk13_2 @ X371 @ X372))|~(X371 @ X372)|(X371 @ (esk14_1 @ X371))))&(((((in @ (esk16_2 @ X375 @ X376) @ X376)|((X375)=(X376))|(in @ (esk15_2 @ X375 @ X376) @ X375))&(~(in @ (esk16_2 @ X375 @ X376) @ X375)|((X375)=(X376))|(in @ (esk15_2 @ X375 @ X376) @ X375)))&(((in @ (esk16_2 @ X375 @ X376) @ X376)|((X375)=(X376))|~(in @ (esk15_2 @ X375 @ X376) @ X376))&(~(in @ (esk16_2 @ X375 @ X376) @ X375)|((X375)=(X376))|~(in @ (esk15_2 @ X375 @ X376) @ X376))))&(((in @ (esk17_1 @ X379) @ X379)|((X379)=(emptyset)))&(((in @ (esk18_1 @ X381) @ X381)|((X381)=(emptyset)))&(((~(in @ X385 @ (dsetconstr @ X383 @ X384))|(X384 @ X385)|~(in @ X385 @ X383))&(~(X384 @ X385)|(in @ X385 @ (dsetconstr @ X383 @ X384))|~(in @ X385 @ X383)))&((((X386)=(emptyset))|(in @ (esk19_1 @ X386) @ X386))&((~(in @ X390 @ X388)|(~(X389 @ X390)|((dsetconstr @ X388 @ X389)!=(emptyset))))&((~(in @ X392 @ X391)|((X391)!=(emptyset)))&((in @ X393 @ (setadjoin @ X393 @ X394))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X397 @ X396)|(in @ X397 @ (setadjoin @ X395 @ X396)))&(((((in @ X400 @ X399)|(X401)|((X400)=(X398))|~(in @ X400 @ (setadjoin @ X398 @ X399)))&(~(X401)|(X401)|((X400)=(X398))|~(in @ X400 @ (setadjoin @ X398 @ X399))))&(((in @ X400 @ X399)|(X401)|~(X401)|~(in @ X400 @ (setadjoin @ X398 @ X399)))&(~(X401)|(X401)|~(X401)|~(in @ X400 @ (setadjoin @ X398 @ X399)))))&((~(in @ X404 @ (setadjoin @ X402 @ X403))|(((X404)=(X402))|(in @ X404 @ X403)))&(((dsetconstr @ X405 @ (^[Z0:$i]:($true)))=(X405))&((((in @ (esk20_2 @ X406 @ X407) @ X407)|(in @ X407 @ (powerset @ X406)))&(~(in @ (esk20_2 @ X406 @ X407) @ X406)|(in @ X407 @ (powerset @ X406))))&((in @ emptyset @ (powerset @ X409))&((in @ emptyset @ (powerset @ X410))&((~(in @ X412 @ (powerset @ X411))|(~(in @ X413 @ X412)|(in @ X413 @ X411)))&((~(in @ X415 @ X416)|(~(in @ X416 @ X414)|(in @ X415 @ (setunion @ X414))))&((((in @ X418 @ (esk21_3 @ X417 @ X418 @ X419))|(X419)|~(in @ X418 @ (setunion @ X417)))&(((in @ (esk21_3 @ X417 @ X418 @ X419) @ X417)|(X419)|~(in @ X418 @ (setunion @ X417)))&(~(X419)|(X419)|~(in @ X418 @ (setunion @ X417)))))&((~(in @ X422 @ X421)|(in @ X422 @ (powerset @ (setunion @ X421))))&((((~(X423 @ X427)|((X427)=(esk23_1 @ X423))|((X423 @ (esk22_2 @ X423 @ X424))|~(X423 @ X424)))&(((X428)!=(esk23_1 @ X423))|(X423 @ X428)|((X423 @ (esk22_2 @ X423 @ X424))|~(X423 @ X424))))&((~(X423 @ X427)|((X427)=(esk23_1 @ X423))|(((X424)!=(esk22_2 @ X423 @ X424))|~(X423 @ X424)))&(((X428)!=(esk23_1 @ X423))|(X423 @ X428)|(((X424)!=(esk22_2 @ X423 @ X424))|~(X423 @ X424)))))&((((in @ (esk24_1 @ X429) @ X429)|((X429)=(emptyset)))&(($true)|((X429)=(emptyset))))&((~(in @ X431 @ (setadjoin @ X432 @ emptyset))|((X431)=(X432)))&((((X433)=(X434))|~(in @ X434 @ (setadjoin @ X433 @ emptyset)))&((((X435)!=(X436))|(in @ X435 @ (setadjoin @ X436 @ emptyset)))&((~(in @ X437 @ (setadjoin @ X438 @ emptyset))|(in @ X438 @ (setadjoin @ X437 @ emptyset)))&((~(in @ X441 @ (setadjoin @ X439 @ (setadjoin @ X440 @ emptyset)))|(((X441)=(X439))|((X441)=(X440))))&((in @ X442 @ (setadjoin @ X442 @ (setadjoin @ X443 @ emptyset)))&((in @ X445 @ (setadjoin @ X444 @ (setadjoin @ X445 @ emptyset)))&(((in @ esk26_0 @ esk25_0)&(epred2_0 @ esk26_0))&(((dsetconstr @ esk25_0 @ epred2_0)=(emptyset))&($true)))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])])])])).
% 0.23/0.29  thf(c_0_79, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:((~((in @ X2 @ X3))|~((X1 @ X2))|((dsetconstr @ X3 @ X1)!=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_78])).
% 0.23/0.29  thf(c_0_80, negated_conjecture, ((dsetconstr @ esk25_0 @ epred2_0)=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_78])).
% 0.23/0.29  thf(c_0_81, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk25_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_79, c_0_80])).
% 0.23/0.29  thf(c_0_82, negated_conjecture, (in @ esk26_0 @ esk25_0), inference(split_conjunct,[status(thm)],[c_0_78])).
% 0.23/0.29  thf(c_0_83, negated_conjecture, (epred2_0 @ esk26_0), inference(split_conjunct,[status(thm)],[c_0_78])).
% 0.23/0.29  thf(c_0_84, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83])]), ['proof']).
% 0.23/0.29  % SZS output end CNFRefutation
% 0.23/0.29  % Parsed axioms                        : 115
% 0.23/0.29  % Removed by relevancy pruning/SinE    : 0
% 0.23/0.29  % Initial clauses                      : 168
% 0.23/0.29  % Removed in clause preprocessing      : 67
% 0.23/0.29  % Initial clauses in saturation        : 101
% 0.23/0.29  % Processed clauses                    : 122
% 0.23/0.29  % ...of these trivial                  : 2
% 0.23/0.29  % ...subsumed                          : 13
% 0.23/0.29  % ...remaining for further processing  : 107
% 0.23/0.29  % Other redundant clauses eliminated   : 7
% 0.23/0.29  % Clauses deleted for lack of memory   : 0
% 0.23/0.29  % Backward-subsumed                    : 0
% 0.23/0.29  % Backward-rewritten                   : 1
% 0.23/0.29  % Generated clauses                    : 31
% 0.23/0.29  % ...of the previous two non-redundant : 21
% 0.23/0.29  % ...aggressively subsumed             : 0
% 0.23/0.29  % Contextual simplify-reflections      : 0
% 0.23/0.29  % Paramodulations                      : 8
% 0.23/0.29  % Factorizations                       : 0
% 0.23/0.29  % NegExts                              : 0
% 0.23/0.29  % Equation resolutions                 : 7
% 0.23/0.29  % Disequality decompositions           : 0
% 0.23/0.29  % Total rewrite steps                  : 21
% 0.23/0.29  % ...of those cached                   : 12
% 0.23/0.29  % Propositional unsat checks           : 0
% 0.23/0.29  %    Propositional check models        : 0
% 0.23/0.29  %    Propositional check unsatisfiable : 0
% 0.23/0.29  %    Propositional clauses             : 0
% 0.23/0.29  %    Propositional clauses after purity: 0
% 0.23/0.29  %    Propositional unsat core size     : 0
% 0.23/0.29  %    Propositional preprocessing time  : 0.000
% 0.23/0.29  %    Propositional encoding time       : 0.000
% 0.23/0.29  %    Propositional solver time         : 0.000
% 0.23/0.29  %    Success case prop preproc time    : 0.000
% 0.23/0.29  %    Success case prop encoding time   : 0.000
% 0.23/0.29  %    Success case prop solver time     : 0.000
% 0.23/0.29  % Current number of processed clauses  : 17
% 0.23/0.29  %    Positive orientable unit clauses  : 10
% 0.23/0.29  %    Positive unorientable unit clauses: 0
% 0.23/0.29  %    Negative unit clauses             : 3
% 0.23/0.29  %    Non-unit-clauses                  : 4
% 0.23/0.29  % Current number of unprocessed clauses: 84
% 0.23/0.29  % ...number of literals in the above   : 252
% 0.23/0.29  % Current number of archived formulas  : 0
% 0.23/0.29  % Current number of archived clauses   : 85
% 0.23/0.29  % Clause-clause subsumption calls (NU) : 1820
% 0.23/0.29  % Rec. Clause-clause subsumption calls : 695
% 0.23/0.29  % Non-unit clause-clause subsumptions  : 8
% 0.23/0.29  % Unit Clause-clause subsumption calls : 5
% 0.23/0.29  % Rewrite failures with RHS unbound    : 0
% 0.23/0.29  % BW rewrite match attempts            : 2
% 0.23/0.29  % BW rewrite match successes           : 1
% 0.23/0.29  % Condensation attempts                : 0
% 0.23/0.29  % Condensation successes               : 0
% 0.23/0.29  % Termbank termtop insertions          : 18468
% 0.23/0.29  % Search garbage collected termcells   : 5261
% 0.23/0.29  
% 0.23/0.29  % -------------------------------------------------
% 0.23/0.29  % User time                : 0.014 s
% 0.23/0.29  % System time              : 0.003 s
% 0.23/0.29  % Total time               : 0.018 s
% 0.23/0.29  % Maximum resident set size: 4776 pages
% 0.23/0.29  
% 0.23/0.29  % -------------------------------------------------
% 0.23/0.29  % User time                : 0.060 s
% 0.23/0.29  % System time              : 0.014 s
% 0.23/0.29  % Total time               : 0.074 s
% 0.23/0.29  % Maximum resident set size: 4864 pages
% 0.23/0.29  % E exiting
%------------------------------------------------------------------------------