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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU535^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 08:24:25 AM UTC 2026

% Result   : Theorem 0.21s 0.26s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU535^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17  % Computer : n008.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Tue Sep 29 13:49:24 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running higher-order theorem proving
% 0.06/0.23  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p
% 0.21/0.26  % Version: 3.5.1-ho
% 0.21/0.26  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.26  % Starting sh5l with 300s (1) cores
% 0.21/0.26  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.26  % Starting new_bool_2 with 300s (1) cores
% 0.21/0.26  % new_bool_1 with pid 3181454 completed with status 0
% 0.21/0.26  % Result found by new_bool_1
% 0.21/0.26  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.26  % Starting sh5l with 300s (1) cores
% 0.21/0.26  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.26  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.26  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.26  % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.21/0.26  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.26  % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.26  % SubtermCWHack with pid 3181457 completed with status 0
% 0.21/0.26  % Result found by SubtermCWHack
% 0.21/0.26  % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.26  % Starting sh5l with 300s (1) cores
% 0.21/0.26  % Starting new_bool_1 with 300s (1) cores
% 0.21/0.26  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.26  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.26  % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.21/0.26  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.26  % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.26  % Preprocessing time       : 0.003 s
% 0.21/0.26  
% 0.21/0.26  % Proof found!
% 0.21/0.26  % SZS status Theorem
% 0.21/0.26  % SZS output start CNFRefutation
% 0.21/0.26  thf(decl_23, type, in: $i > $i > $o).
% 0.21/0.26  thf(decl_24, type, exu: ($i > $o) > $o).
% 0.21/0.26  thf(decl_25, type, setextAx: $o).
% 0.21/0.26  thf(decl_26, type, emptyset: $i).
% 0.21/0.26  thf(decl_27, type, emptysetAx: $o).
% 0.21/0.26  thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.21/0.26  thf(decl_29, type, setadjoinAx: $o).
% 0.21/0.26  thf(decl_30, type, powerset: $i > $i).
% 0.21/0.26  thf(decl_31, type, powersetAx: $o).
% 0.21/0.26  thf(decl_32, type, setunion: $i > $i).
% 0.21/0.26  thf(decl_33, type, setunionAx: $o).
% 0.21/0.26  thf(decl_34, type, omega: $i).
% 0.21/0.26  thf(decl_35, type, omega0Ax: $o).
% 0.21/0.26  thf(decl_36, type, omegaSAx: $o).
% 0.21/0.26  thf(decl_37, type, omegaIndAx: $o).
% 0.21/0.26  thf(decl_38, type, replAx: $o).
% 0.21/0.26  thf(decl_39, type, foundationAx: $o).
% 0.21/0.26  thf(decl_40, type, wellorderingAx: $o).
% 0.21/0.26  thf(decl_42, type, descrp: $o).
% 0.21/0.26  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.26  thf(decl_44, type, dsetconstrI: $o).
% 0.21/0.26  thf(decl_45, type, dsetconstrEL: $o).
% 0.21/0.26  thf(decl_46, type, dsetconstrER: $o).
% 0.21/0.26  thf(decl_47, type, exuE1: $o).
% 0.21/0.26  thf(decl_48, type, prop2set: $o > $i).
% 0.21/0.26  thf(decl_49, type, prop2setE: $o).
% 0.21/0.26  thf(decl_50, type, emptysetE: $o).
% 0.21/0.26  thf(decl_51, type, emptysetimpfalse: $o).
% 0.21/0.26  thf(decl_52, type, notinemptyset: $o).
% 0.21/0.26  thf(decl_53, type, exuE3e: $o).
% 0.21/0.26  thf(decl_54, type, setext: $o).
% 0.21/0.26  thf(decl_55, type, emptyI: $o).
% 0.21/0.26  thf(decl_56, type, noeltsimpempty: $o).
% 0.21/0.26  thf(decl_57, type, setbeta: $o).
% 0.21/0.26  thf(decl_58, type, nonempty: $i > $o).
% 0.21/0.26  thf(decl_59, type, nonemptyE1: $o).
% 0.21/0.26  thf(decl_60, type, nonemptyI: $o).
% 0.21/0.26  thf(decl_61, type, nonemptyI1: $o).
% 0.21/0.26  thf(decl_62, type, setadjoinIL: $o).
% 0.21/0.26  thf(decl_63, type, emptyinunitempty: $o).
% 0.21/0.26  thf(decl_64, type, setadjoinIR: $o).
% 0.21/0.26  thf(decl_65, type, setadjoinE: $o).
% 0.21/0.26  thf(decl_66, type, setadjoinOr: $o).
% 0.21/0.26  thf(decl_67, type, setoftrueEq: $o).
% 0.21/0.26  thf(decl_68, type, powersetI: $o).
% 0.21/0.26  thf(decl_69, type, emptyinPowerset: $o).
% 0.21/0.26  thf(decl_70, type, emptyInPowerset: $o).
% 0.21/0.26  thf(decl_71, type, powersetE: $o).
% 0.21/0.26  thf(decl_72, type, setunionI: $o).
% 0.21/0.26  thf(decl_73, type, setunionE: $o).
% 0.21/0.26  thf(decl_74, type, subPowSU: $o).
% 0.21/0.26  thf(decl_75, type, exuE2: $o).
% 0.21/0.26  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.21/0.26  thf(decl_77, type, uniqinunit: $o).
% 0.21/0.26  thf(decl_78, type, notinsingleton: $o).
% 0.21/0.26  thf(decl_79, type, eqinunit: $o).
% 0.21/0.26  thf(decl_80, type, singletonsswitch: $o).
% 0.21/0.26  thf(decl_81, type, upairsetE: $o).
% 0.21/0.26  thf(decl_82, type, upairsetIL: $o).
% 0.21/0.26  thf(decl_83, type, upairsetIR: $o).
% 0.21/0.26  thf(decl_84, type, emptyE1: $o).
% 0.21/0.26  thf(decl_85, type, epred1_0: $o).
% 0.21/0.26  thf(decl_86, type, esk1_2: $i > $i > $i).
% 0.21/0.26  thf(decl_87, type, esk2_2: $i > $i > $i).
% 0.21/0.26  thf(decl_88, type, esk3_2: $i > $i > $i).
% 0.21/0.26  thf(decl_89, type, esk4_1: $i > $i).
% 0.21/0.26  thf(decl_90, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.21/0.26  thf(decl_91, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.26  thf(decl_92, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.21/0.26  thf(decl_93, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.26  thf(decl_94, type, esk9_1: $i > $i).
% 0.21/0.26  thf(decl_95, type, esk10_2: ($i > $o) > $i > $i).
% 0.21/0.26  thf(decl_96, type, esk11_1: ($i > $o) > $i).
% 0.21/0.26  thf(decl_97, type, esk12_2: ($i > $o) > $i > $i).
% 0.21/0.26  thf(decl_98, type, esk13_1: ($i > $o) > $i).
% 0.21/0.26  thf(decl_99, type, esk14_2: $i > $i > $i).
% 0.21/0.26  thf(decl_100, type, esk15_2: $i > $i > $i).
% 0.21/0.26  thf(decl_101, type, esk16_1: $i > $i).
% 0.21/0.26  thf(decl_102, type, esk17_1: $i > $i).
% 0.21/0.26  thf(decl_103, type, esk18_1: $i > $i).
% 0.21/0.26  thf(decl_104, type, esk19_2: $i > $i > $i).
% 0.21/0.26  thf(decl_105, type, esk20_3: $i > $i > $o > $i).
% 0.21/0.26  thf(decl_106, type, esk21_2: ($i > $o) > $i > $i).
% 0.21/0.26  thf(decl_107, type, esk22_1: ($i > $o) > $i).
% 0.21/0.26  thf(decl_108, type, esk23_1: $i > $i).
% 0.21/0.26  thf(decl_109, type, epred2_0: $i > $o).
% 0.21/0.26  thf(decl_110, type, esk24_0: $i).
% 0.21/0.26  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', exuE2)).
% 0.21/0.26  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', exu)).
% 0.21/0.26  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', nonempty)).
% 0.21/0.26  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', replAx)).
% 0.21/0.26  thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', prop2set)).
% 0.21/0.26  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', exuE1)).
% 0.21/0.26  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', exuE3e)).
% 0.21/0.26  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', nonemptyI)).
% 0.21/0.26  thf(vacuousDall, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', vacuousDall)).
% 0.21/0.26  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', nonemptyImpWitness)).
% 0.21/0.26  thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptyE1)).
% 0.21/0.26  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', dsetconstrI)).
% 0.21/0.26  thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', prop2setE)).
% 0.21/0.26  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', dsetconstrER)).
% 0.21/0.26  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', dsetconstrEL)).
% 0.21/0.26  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', nonemptyI1)).
% 0.21/0.26  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', nonemptyE1)).
% 0.21/0.26  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setbeta)).
% 0.21/0.26  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setoftrueEq)).
% 0.21/0.26  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', uniqinunit)).
% 0.21/0.26  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', notinsingleton)).
% 0.21/0.26  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', eqinunit)).
% 0.21/0.26  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', singletonsswitch)).
% 0.21/0.26  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', upairsetE)).
% 0.21/0.26  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', upairsetIL)).
% 0.21/0.26  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', upairsetIR)).
% 0.21/0.26  thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', wellorderingAx)).
% 0.21/0.26  thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', foundationAx)).
% 0.21/0.26  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', omegaIndAx)).
% 0.21/0.26  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', omegaSAx)).
% 0.21/0.26  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', omega0Ax)).
% 0.21/0.26  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setunionAx)).
% 0.21/0.26  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setadjoinOr)).
% 0.21/0.26  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/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setadjoinE)).
% 0.21/0.26  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', notinemptyset)).
% 0.21/0.26  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptysetimpfalse)).
% 0.21/0.26  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptysetE)).
% 0.21/0.26  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', noeltsimpempty)).
% 0.21/0.26  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptyI)).
% 0.21/0.26  thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setext)).
% 0.21/0.26  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setadjoinIL)).
% 0.21/0.26  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptyinPowerset)).
% 0.21/0.26  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', powersetI)).
% 0.21/0.26  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setadjoinIR)).
% 0.21/0.26  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptyinunitempty)).
% 0.21/0.26  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', powersetE)).
% 0.21/0.26  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setunionI)).
% 0.21/0.26  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/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setunionE)).
% 0.21/0.26  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', subPowSU)).
% 0.21/0.26  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptyInPowerset)).
% 0.21/0.26  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', powersetAx)).
% 0.21/0.26  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setadjoinAx)).
% 0.21/0.26  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', emptysetAx)).
% 0.21/0.26  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.PXoQCRLGHO/E---3.1_3181414.p', setextAx)).
% 0.21/0.26  thf(c_0_54, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.21/0.26  thf(c_0_55, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.21/0.26  thf(c_0_56, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.21/0.26  thf(c_0_57, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.21/0.26  thf(c_0_58, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.21/0.26  thf(c_0_59, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.21/0.26  thf(c_0_60, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.21/0.26  thf(c_0_61, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.21/0.26  thf(c_0_62, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[vacuousDall])).
% 0.21/0.26  thf(c_0_63, plain, ((exuE2)=(![X1:$i > $o]:((((?[X161:$i]:(((((X1 @ X161)))&(![X162:$i]:(((((X1 @ X162)))=>(((X161)=(X162))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_54, c_0_55])).
% 0.21/0.26  thf(c_0_64, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_56])).
% 0.21/0.26  thf(c_0_65, 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])).
% 0.21/0.26  thf(c_0_66, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X155:$i]:(((((X6 @ X2 @ X155)))&(![X156:$i]:(((((X6 @ X2 @ X156)))=>(((X155)=(X156)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_57, c_0_55])).
% 0.21/0.26  thf(c_0_67, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.21/0.26  thf(c_0_68, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_58])).
% 0.21/0.26  thf(c_0_69, plain, ((exuE1)=(![X1:$i > $o]:((((?[X157:$i]:(((((X1 @ X157)))&(![X158:$i]:(((((X1 @ X158)))=>(((X157)=(X158))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_59, c_0_55])).
% 0.21/0.26  thf(c_0_70, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.21/0.26  thf(c_0_71, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.21/0.26  thf(c_0_72, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X159:$i]:(((((X1 @ X159)))&(![X160:$i]:(((((X1 @ X160)))=>(((X159)=(X160))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_55])).
% 0.21/0.26  thf(c_0_73, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_56])).
% 0.21/0.26  thf(c_0_74, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_61, c_0_56])).
% 0.21/0.26  thf(c_0_75, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_56])).
% 0.21/0.26  thf(c_0_76, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.21/0.26  thf(c_0_77, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.21/0.26  thf(c_0_78, plain, ((epred1_0)<=>![X192:$i]:(?[X193:$i]:((((![X194:$i]:(((in @ X194 @ X193)=>![X195:$i]:(((in @ X195 @ X194)=>(in @ X195 @ X192)))))&![X196:$i, X197:$i]:((((in @ X196 @ X192)&(in @ X197 @ X192))=>(![X198:$i]:(((in @ X198 @ X193)=>((in @ X196 @ X198)<=>(in @ X197 @ X198))))=>((X196)=(X197))))))&![X199:$i, X200:$i]:((((in @ X199 @ X193)&(in @ X200 @ X193))=>(![X201:$i]:(((in @ X201 @ X199)=>(in @ X201 @ X200)))|![X202:$i]:(((in @ X202 @ X200)=>(in @ X202 @ X199)))))))&![X203:$i]:(((![X204:$i]:(((in @ X204 @ X203)=>(in @ X204 @ X192)))&?[X205:$i]:((in @ X205 @ X203)))=>?[X206:$i, X207:$i]:(((((in @ X206 @ X193)&(in @ X207 @ X203))&~(?[X208:$i]:(((in @ X208 @ X206)&(in @ X208 @ X203)))))&![X209:$i]:(((in @ X209 @ X193)=>(![X210:$i]:(((in @ X210 @ X209)=>(in @ X210 @ X206)))|(in @ X207 @ X209)))))))))))), introduced(definition)).
% 0.21/0.26  thf(c_0_79, negated_conjecture, ~((![X163:$i, X164:$i]:((![X165:$i]:(((in @ X165 @ X163)<=>(in @ X165 @ X164)))=>((X163)=(X164))))=>(![X166:$i]:(~(in @ X166 @ emptyset))=>(![X167:$i, X168:$i, X169:$i]:(((in @ X169 @ (setadjoin @ X167 @ X168))<=>(((X169)=(X167))|(in @ X169 @ X168))))=>(![X170:$i, X171:$i]:(((in @ X171 @ (powerset @ X170))<=>![X172:$i]:(((in @ X172 @ X171)=>(in @ X172 @ X170)))))=>(![X173:$i, X174:$i]:(((in @ X174 @ (setunion @ X173))<=>?[X175:$i]:(((in @ X174 @ X175)&(in @ X175 @ X173)))))=>((in @ emptyset @ omega)=>(![X176:$i]:(((in @ X176 @ omega)=>(in @ (setadjoin @ X176 @ X176) @ omega)))=>(![X177:$i]:((((in @ emptyset @ X177)&![X178:$i]:((((in @ X178 @ omega)&(in @ X178 @ X177))=>(in @ (setadjoin @ X178 @ X178) @ X177))))=>![X179:$i]:(((in @ X179 @ omega)=>(in @ X179 @ X177)))))=>(![X180:$i > $i > $o, X181:$i]:((![X182:$i]:(((in @ X182 @ X181)=>?[X183:$i]:(((X180 @ X182 @ X183)&![X184:$i]:(((X180 @ X182 @ X184)=>((X183)=(X184))))))))=>?[X185:$i]:(![X186:$i]:(((in @ X186 @ X185)<=>?[X187:$i]:(((in @ X187 @ X181)&(X180 @ X187 @ X186))))))))=>(![X188:$i]:((?[X189:$i]:((in @ X189 @ X188))=>?[X190:$i]:(((in @ X190 @ X188)&~(?[X191:$i]:(((in @ X191 @ X190)&(in @ X191 @ X188))))))))=>((epred1_0)=>((descrp)=>(![X211:$i, X212:$i > $o, X213:$i]:(((in @ X213 @ X211)=>((X212 @ X213)=>(in @ X213 @ (dsetconstr @ X211 @ X212)))))=>(![X214:$i, X215:$i > $o, X216:$i]:(((in @ X216 @ (dsetconstr @ X214 @ X215))=>(in @ X216 @ X214)))=>(![X217:$i, X218:$i > $o, X219:$i]:(((in @ X219 @ (dsetconstr @ X217 @ X218))=>(X218 @ X219)))=>(![X220:$i > $o]:((?[X221:$i]:(((X220 @ X221)&![X222:$i]:(((X220 @ X222)=>((X221)=(X222))))))=>?[X223:$i]:(((X220 @ X223)&![X224:$i]:(((X220 @ X224)=>((X223)=(X224))))))))=>(![X225:$o, X226:$i]:(((in @ X226 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X225)))))=>(X225)))=>(![X227:$i]:(((in @ X227 @ emptyset)=>![X228:$o]:((X228))))=>(![X229:$i]:(((in @ X229 @ emptyset)=>~($true)))=>(![X230:$i]:(~(in @ X230 @ emptyset))=>(![X231:$i > $o]:((?[X232:$i]:(((X231 @ X232)&![X233:$i]:(((X231 @ X233)=>((X232)=(X233))))))=>?[X234:$i]:((X231 @ X234))))=>(![X235:$i, X236:$i]:((![X237:$i]:(((in @ X237 @ X235)=>(in @ X237 @ X236)))=>(![X238:$i]:(((in @ X238 @ X236)=>(in @ X238 @ X235)))=>((X235)=(X236)))))=>(![X239:$i]:((![X240:$i]:(~(in @ X240 @ X239))=>((X239)=(emptyset))))=>(![X241:$i]:((![X242:$i]:(~(in @ X242 @ X241))=>((X241)=(emptyset))))=>(![X243:$i, X244:$i > $o, X245:$i]:(((in @ X245 @ X243)=>((in @ X245 @ (dsetconstr @ X243 @ X244))<=>(X244 @ X245))))=>(![X246:$i]:((((X246)!=(emptyset))=>?[X247:$i]:((in @ X247 @ X246))))=>(![X248:$i, X249:$i > $o, X250:$i]:(((in @ X250 @ X248)=>((X249 @ X250)=>((dsetconstr @ X248 @ X249)!=(emptyset)))))=>(![X251:$i]:((?[X252:$i]:((in @ X252 @ X251))=>((X251)!=(emptyset))))=>(![X253:$i, X254:$i]:((in @ X253 @ (setadjoin @ X253 @ X254)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X255:$i, X256:$i, X257:$i]:(((in @ X257 @ X256)=>(in @ X257 @ (setadjoin @ X255 @ X256))))=>(![X258:$i, X259:$i, X260:$i]:(((in @ X260 @ (setadjoin @ X258 @ X259))=>![X261:$o]:(((((X260)=(X258))=>(X261))=>(((in @ X260 @ X259)=>(X261))=>(X261))))))=>(![X262:$i, X263:$i, X264:$i]:(((in @ X264 @ (setadjoin @ X262 @ X263))=>(((X264)=(X262))|(in @ X264 @ X263))))=>(![X265:$i]:(((dsetconstr @ X265 @ (^[Z0:$i]:($true)))=(X265)))=>(![X266:$i, X267:$i]:((![X268:$i]:(((in @ X268 @ X267)=>(in @ X268 @ X266)))=>(in @ X267 @ (powerset @ X266))))=>(![X269:$i]:((in @ emptyset @ (powerset @ X269)))=>(![X270:$i]:((in @ emptyset @ (powerset @ X270)))=>(![X271:$i, X272:$i, X273:$i]:(((in @ X272 @ (powerset @ X271))=>((in @ X273 @ X272)=>(in @ X273 @ X271))))=>(![X274:$i, X275:$i, X276:$i]:(((in @ X275 @ X276)=>((in @ X276 @ X274)=>(in @ X275 @ (setunion @ X274)))))=>(![X277:$i, X278:$i]:(((in @ X278 @ (setunion @ X277))=>![X279:$o]:((![X280:$i]:(((in @ X278 @ X280)=>((in @ X280 @ X277)=>(X279))))=>(X279)))))=>(![X281:$i, X282:$i]:(((in @ X282 @ X281)=>(in @ X282 @ (powerset @ (setunion @ X281)))))=>(![X283:$i > $o]:((?[X284:$i]:(((X283 @ X284)&![X285:$i]:(((X283 @ X285)=>((X284)=(X285))))))=>?[X286:$i]:(![X287:$i]:(((X283 @ X287)<=>((X287)=(X286)))))))=>(![X288:$i]:((((X288)!=(emptyset))=>?[X289:$i]:(((in @ X289 @ X288)&$true))))=>(![X290:$i, X291:$i]:(((in @ X290 @ (setadjoin @ X291 @ emptyset))=>((X290)=(X291))))=>(![X292:$i, X293:$i]:((((X292)!=(X293))=>~(in @ X293 @ (setadjoin @ X292 @ emptyset))))=>(![X294:$i, X295:$i]:((((X294)=(X295))=>(in @ X294 @ (setadjoin @ X295 @ emptyset))))=>(![X296:$i, X297:$i]:(((in @ X296 @ (setadjoin @ X297 @ emptyset))=>(in @ X297 @ (setadjoin @ X296 @ emptyset))))=>(![X298:$i, X299:$i, X300:$i]:(((in @ X300 @ (setadjoin @ X298 @ (setadjoin @ X299 @ emptyset)))=>(((X300)=(X298))|((X300)=(X299)))))=>(![X301:$i, X302:$i]:((in @ X301 @ (setadjoin @ X301 @ (setadjoin @ X302 @ emptyset))))=>(![X303:$i, X304:$i]:((in @ X304 @ (setadjoin @ X303 @ (setadjoin @ X304 @ emptyset))))=>(![X305:$i, X306:$i > $o]:((?[X307:$i]:(((in @ X307 @ X305)&(X306 @ X307)))=>(((dsetconstr @ X305 @ X306)=(emptyset))=>~($true))))=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_62, c_0_63]), c_0_64]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_65]), wellorderingAx]), foundationAx]), c_0_66]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), c_0_67]), setadjoinOr]), setadjoinE]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), noeltsimpempty]), emptyI]), setext]), setadjoinIL]), emptyinPowerset]), powersetI]), c_0_77]), setadjoinIR]), emptyinunitempty]), powersetE]), setunionI]), setunionE]), subPowSU]), emptyInPowerset]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_78])).
% 0.21/0.26  thf(c_0_80, negated_conjecture, ![X308:$i, X309:$i, X311:$i, X312:$i, X313:$i, X314:$i, X315:$i, X316:$i, X317:$i, X318:$i, X319:$i, X321:$i, X322:$i, X324:$i, X325:$i, X326:$i, X327:$i, X328:$i, X330:$i, X331:$i > $i > $o, X332:$i, X334:$i, X337:$i, X339:$i, X340:$i, X341:$i, X342:$i, X344:$i, X345:$i, X346:$i > $o, X347:$i, X348:$i, X349:$i > $o, X350:$i, X351:$i, X352:$i > $o, X353:$i, X354:$i > $o, X355:$i, X358:$i, X359:$o, X360:$i, X361:$i, X362:$o, X363:$i, X364:$i, X365:$i > $o, X366:$i, X369:$i, X370:$i, X373:$i, X375:$i, X377:$i, X378:$i > $o, X379:$i, X380:$i, X382:$i, X383:$i > $o, X384:$i, X385:$i, X386:$i, X387:$i, X388:$i, X389:$i, X390:$i, X391:$i, X392:$i, X393:$i, X394:$i, X395:$o, X396:$i, X397:$i, X398:$i, X399:$i, X400:$i, X401:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X408:$i, X409:$i, X410:$i, X411:$i, X412:$i, X413:$o, X415:$i, X416:$i, X417:$i > $o, X418:$i, X421:$i, X422:$i, X423:$i, X425:$i, X426:$i, X427:$i, X428:$i, X429:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i > $o, X442:$i]:((((~(in @ (esk1_2 @ X308 @ X309) @ X308)|~(in @ (esk1_2 @ X308 @ X309) @ X309)|((X308)=(X309)))&((in @ (esk1_2 @ X308 @ X309) @ X308)|(in @ (esk1_2 @ X308 @ X309) @ X309)|((X308)=(X309))))&(~(in @ X311 @ emptyset)&(((~(in @ X314 @ (setadjoin @ X312 @ X313))|(((X314)=(X312))|(in @ X314 @ X313)))&((((X314)!=(X312))|(in @ X314 @ (setadjoin @ X312 @ X313)))&(~(in @ X314 @ X313)|(in @ X314 @ (setadjoin @ X312 @ X313)))))&(((~(in @ X316 @ (powerset @ X315))|(~(in @ X317 @ X316)|(in @ X317 @ X315)))&(((in @ (esk2_2 @ X318 @ X319) @ X319)|(in @ X319 @ (powerset @ X318)))&(~(in @ (esk2_2 @ X318 @ X319) @ X318)|(in @ X319 @ (powerset @ X318)))))&(((((in @ X322 @ (esk3_2 @ X321 @ X322))|~(in @ X322 @ (setunion @ X321)))&((in @ (esk3_2 @ X321 @ X322) @ X321)|~(in @ X322 @ (setunion @ X321))))&(~(in @ X325 @ X326)|~(in @ X326 @ X324)|(in @ X325 @ (setunion @ X324))))&((in @ emptyset @ omega)&((~(in @ X327 @ omega)|(in @ (setadjoin @ X327 @ X327) @ omega))&(((((in @ (esk4_1 @ X328) @ omega)|~(in @ emptyset @ X328)|(~(in @ X330 @ omega)|(in @ X330 @ X328)))&((in @ (esk4_1 @ X328) @ X328)|~(in @ emptyset @ X328)|(~(in @ X330 @ omega)|(in @ X330 @ X328))))&(~(in @ (setadjoin @ (esk4_1 @ X328) @ (esk4_1 @ X328)) @ X328)|~(in @ emptyset @ X328)|(~(in @ X330 @ omega)|(in @ X330 @ X328))))&((((((in @ (esk8_3 @ X331 @ X332 @ X337) @ X332)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|(in @ (esk5_2 @ X331 @ X332) @ X332))&((X331 @ (esk8_3 @ X331 @ X332 @ X337) @ X337)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|(in @ (esk5_2 @ X331 @ X332) @ X332)))&(~(in @ X340 @ X332)|~(X331 @ X340 @ X339)|(in @ X339 @ (esk7_2 @ X331 @ X332))|(in @ (esk5_2 @ X331 @ X332) @ X332)))&(((((in @ (esk8_3 @ X331 @ X332 @ X337) @ X332)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|((X331 @ (esk5_2 @ X331 @ X332) @ (esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334)))&((X331 @ (esk8_3 @ X331 @ X332 @ X337) @ X337)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|((X331 @ (esk5_2 @ X331 @ X332) @ (esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334))))&(~(in @ X340 @ X332)|~(X331 @ X340 @ X339)|(in @ X339 @ (esk7_2 @ X331 @ X332))|((X331 @ (esk5_2 @ X331 @ X332) @ (esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334))))&((((in @ (esk8_3 @ X331 @ X332 @ X337) @ X332)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|(((X334)!=(esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334)))&((X331 @ (esk8_3 @ X331 @ X332 @ X337) @ X337)|~(in @ X337 @ (esk7_2 @ X331 @ X332))|(((X334)!=(esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334))))&(~(in @ X340 @ X332)|~(X331 @ X340 @ X339)|(in @ X339 @ (esk7_2 @ X331 @ X332))|(((X334)!=(esk6_3 @ X331 @ X332 @ X334))|~(X331 @ (esk5_2 @ X331 @ X332) @ X334))))))&((((in @ (esk9_1 @ X341) @ X341)|~(in @ X342 @ X341))&(~(in @ X344 @ (esk9_1 @ X341))|~(in @ X344 @ X341)|~(in @ X342 @ X341)))&((epred1_0)&((descrp)&((~(in @ X347 @ X345)|(~(X346 @ X347)|(in @ X347 @ (dsetconstr @ X345 @ X346))))&((~(in @ X350 @ (dsetconstr @ X348 @ X349))|(in @ X350 @ X348))&((~(in @ X353 @ (dsetconstr @ X351 @ X352))|(X352 @ X353))&(((((X354 @ (esk11_1 @ X354))|((X354 @ (esk10_2 @ X354 @ X355))|~(X354 @ X355)))&(~(X354 @ X358)|((esk11_1 @ X354)=(X358))|((X354 @ (esk10_2 @ X354 @ X355))|~(X354 @ X355))))&(((X354 @ (esk11_1 @ X354))|(((X355)!=(esk10_2 @ X354 @ X355))|~(X354 @ X355)))&(~(X354 @ X358)|((esk11_1 @ X354)=(X358))|(((X355)!=(esk10_2 @ X354 @ X355))|~(X354 @ X355)))))&((~(in @ X360 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X359)))))|(X359))&((~(in @ X361 @ emptyset)|(X362))&((~(in @ X363 @ emptyset)|~($true))&(~(in @ X364 @ emptyset)&((((X365 @ (esk12_2 @ X365 @ X366))|~(X365 @ X366)|(X365 @ (esk13_1 @ X365)))&(((X366)!=(esk12_2 @ X365 @ X366))|~(X365 @ X366)|(X365 @ (esk13_1 @ X365))))&(((((in @ (esk15_2 @ X369 @ X370) @ X370)|((X369)=(X370))|(in @ (esk14_2 @ X369 @ X370) @ X369))&(~(in @ (esk15_2 @ X369 @ X370) @ X369)|((X369)=(X370))|(in @ (esk14_2 @ X369 @ X370) @ X369)))&(((in @ (esk15_2 @ X369 @ X370) @ X370)|((X369)=(X370))|~(in @ (esk14_2 @ X369 @ X370) @ X370))&(~(in @ (esk15_2 @ X369 @ X370) @ X369)|((X369)=(X370))|~(in @ (esk14_2 @ X369 @ X370) @ X370))))&(((in @ (esk16_1 @ X373) @ X373)|((X373)=(emptyset)))&(((in @ (esk17_1 @ X375) @ X375)|((X375)=(emptyset)))&(((~(in @ X379 @ (dsetconstr @ X377 @ X378))|(X378 @ X379)|~(in @ X379 @ X377))&(~(X378 @ X379)|(in @ X379 @ (dsetconstr @ X377 @ X378))|~(in @ X379 @ X377)))&((((X380)=(emptyset))|(in @ (esk18_1 @ X380) @ X380))&((~(in @ X384 @ X382)|(~(X383 @ X384)|((dsetconstr @ X382 @ X383)!=(emptyset))))&((~(in @ X386 @ X385)|((X385)!=(emptyset)))&((in @ X387 @ (setadjoin @ X387 @ X388))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X391 @ X390)|(in @ X391 @ (setadjoin @ X389 @ X390)))&(((((in @ X394 @ X393)|(X395)|((X394)=(X392))|~(in @ X394 @ (setadjoin @ X392 @ X393)))&(~(X395)|(X395)|((X394)=(X392))|~(in @ X394 @ (setadjoin @ X392 @ X393))))&(((in @ X394 @ X393)|(X395)|~(X395)|~(in @ X394 @ (setadjoin @ X392 @ X393)))&(~(X395)|(X395)|~(X395)|~(in @ X394 @ (setadjoin @ X392 @ X393)))))&((~(in @ X398 @ (setadjoin @ X396 @ X397))|(((X398)=(X396))|(in @ X398 @ X397)))&(((dsetconstr @ X399 @ (^[Z0:$i]:($true)))=(X399))&((((in @ (esk19_2 @ X400 @ X401) @ X401)|(in @ X401 @ (powerset @ X400)))&(~(in @ (esk19_2 @ X400 @ X401) @ X400)|(in @ X401 @ (powerset @ X400))))&((in @ emptyset @ (powerset @ X403))&((in @ emptyset @ (powerset @ X404))&((~(in @ X406 @ (powerset @ X405))|(~(in @ X407 @ X406)|(in @ X407 @ X405)))&((~(in @ X409 @ X410)|(~(in @ X410 @ X408)|(in @ X409 @ (setunion @ X408))))&((((in @ X412 @ (esk20_3 @ X411 @ X412 @ X413))|(X413)|~(in @ X412 @ (setunion @ X411)))&(((in @ (esk20_3 @ X411 @ X412 @ X413) @ X411)|(X413)|~(in @ X412 @ (setunion @ X411)))&(~(X413)|(X413)|~(in @ X412 @ (setunion @ X411)))))&((~(in @ X416 @ X415)|(in @ X416 @ (powerset @ (setunion @ X415))))&((((~(X417 @ X421)|((X421)=(esk22_1 @ X417))|((X417 @ (esk21_2 @ X417 @ X418))|~(X417 @ X418)))&(((X422)!=(esk22_1 @ X417))|(X417 @ X422)|((X417 @ (esk21_2 @ X417 @ X418))|~(X417 @ X418))))&((~(X417 @ X421)|((X421)=(esk22_1 @ X417))|(((X418)!=(esk21_2 @ X417 @ X418))|~(X417 @ X418)))&(((X422)!=(esk22_1 @ X417))|(X417 @ X422)|(((X418)!=(esk21_2 @ X417 @ X418))|~(X417 @ X418)))))&((((in @ (esk23_1 @ X423) @ X423)|((X423)=(emptyset)))&(($true)|((X423)=(emptyset))))&((~(in @ X425 @ (setadjoin @ X426 @ emptyset))|((X425)=(X426)))&((((X427)=(X428))|~(in @ X428 @ (setadjoin @ X427 @ emptyset)))&((((X429)!=(X430))|(in @ X429 @ (setadjoin @ X430 @ emptyset)))&((~(in @ X431 @ (setadjoin @ X432 @ emptyset))|(in @ X432 @ (setadjoin @ X431 @ emptyset)))&((~(in @ X435 @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset)))|(((X435)=(X433))|((X435)=(X434))))&((in @ X436 @ (setadjoin @ X436 @ (setadjoin @ X437 @ emptyset)))&((in @ X439 @ (setadjoin @ X438 @ (setadjoin @ X439 @ emptyset)))&((~(in @ X442 @ X440)|~(X441 @ X442)|(((dsetconstr @ X440 @ X441)!=(emptyset))|~($true)))&((in @ esk24_0 @ emptyset)&~(epred2_0 @ esk24_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_79])])])])])])])).
% 0.21/0.26  thf(c_0_81, negated_conjecture, (in @ esk24_0 @ emptyset), inference(split_conjunct,[status(thm)],[c_0_80])).
% 0.21/0.26  thf(c_0_82, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_80])).
% 0.21/0.26  thf(c_0_83, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_81, c_0_82]), ['proof']).
% 0.21/0.26  % SZS output end CNFRefutation
% 0.21/0.26  % Parsed axioms                        : 117
% 0.21/0.26  % Removed by relevancy pruning/SinE    : 63
% 0.21/0.26  % Initial clauses                      : 102
% 0.21/0.26  % Removed in clause preprocessing      : 5
% 0.21/0.26  % Initial clauses in saturation        : 97
% 0.21/0.26  % Processed clauses                    : 6
% 0.21/0.26  % ...of these trivial                  : 0
% 0.21/0.26  % ...subsumed                          : 0
% 0.21/0.26  % ...remaining for further processing  : 6
% 0.21/0.26  % Other redundant clauses eliminated   : 0
% 0.21/0.26  % Clauses deleted for lack of memory   : 0
% 0.21/0.26  % Backward-subsumed                    : 0
% 0.21/0.26  % Backward-rewritten                   : 0
% 0.21/0.26  % Generated clauses                    : 1
% 0.21/0.26  % ...of the previous two non-redundant : 0
% 0.21/0.26  % ...aggressively subsumed             : 0
% 0.21/0.26  % Contextual simplify-reflections      : 0
% 0.21/0.26  % Paramodulations                      : 0
% 0.21/0.26  % Factorizations                       : 0
% 0.21/0.26  % NegExts                              : 0
% 0.21/0.26  % Equation resolutions                 : 0
% 0.21/0.26  % Disequality decompositions           : 0
% 0.21/0.26  % Total rewrite steps                  : 0
% 0.21/0.26  % ...of those cached                   : 0
% 0.21/0.26  % Propositional unsat checks           : 0
% 0.21/0.26  %    Propositional check models        : 0
% 0.21/0.26  %    Propositional check unsatisfiable : 0
% 0.21/0.26  %    Propositional clauses             : 0
% 0.21/0.26  %    Propositional clauses after purity: 0
% 0.21/0.26  %    Propositional unsat core size     : 0
% 0.21/0.26  %    Propositional preprocessing time  : 0.000
% 0.21/0.26  %    Propositional encoding time       : 0.000
% 0.21/0.26  %    Propositional solver time         : 0.000
% 0.21/0.26  %    Success case prop preproc time    : 0.000
% 0.21/0.26  %    Success case prop encoding time   : 0.000
% 0.21/0.26  %    Success case prop solver time     : 0.000
% 0.21/0.26  % Current number of processed clauses  : 5
% 0.21/0.26  %    Positive orientable unit clauses  : 3
% 0.21/0.26  %    Positive unorientable unit clauses: 0
% 0.21/0.26  %    Negative unit clauses             : 2
% 0.21/0.26  %    Non-unit-clauses                  : 0
% 0.21/0.26  % Current number of unprocessed clauses: 91
% 0.21/0.26  % ...number of literals in the above   : 273
% 0.21/0.26  % Current number of archived formulas  : 0
% 0.21/0.26  % Current number of archived clauses   : 1
% 0.21/0.26  % Clause-clause subsumption calls (NU) : 0
% 0.21/0.26  % Rec. Clause-clause subsumption calls : 0
% 0.21/0.26  % Non-unit clause-clause subsumptions  : 0
% 0.21/0.26  % Unit Clause-clause subsumption calls : 0
% 0.21/0.26  % Rewrite failures with RHS unbound    : 0
% 0.21/0.26  % BW rewrite match attempts            : 0
% 0.21/0.26  % BW rewrite match successes           : 0
% 0.21/0.26  % Condensation attempts                : 0
% 0.21/0.26  % Condensation successes               : 0
% 0.21/0.26  % Termbank termtop insertions          : 12783
% 0.21/0.26  % Search garbage collected termcells   : 5103
% 0.21/0.26  
% 0.21/0.26  % -------------------------------------------------
% 0.21/0.26  % User time                : 0.008 s
% 0.21/0.26  % System time              : 0.005 s
% 0.21/0.26  % Total time               : 0.013 s
% 0.21/0.26  % Maximum resident set size: 5292 pages
% 0.21/0.26  
% 0.21/0.26  % -------------------------------------------------
% 0.21/0.26  % User time                : 0.012 s
% 0.21/0.26  % System time              : 0.009 s
% 0.21/0.26  % Total time               : 0.021 s
% 0.21/0.26  % Maximum resident set size: 5120 pages
% 0.21/0.26  % E exiting
%------------------------------------------------------------------------------