%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU536^1 : 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 : n010.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 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU536^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:49:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p
% 0.09/0.26 % Version: 3.5.1-ho
% 0.09/0.26 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.26 % Starting sh5l with 300s (1) cores
% 0.09/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.09/0.26 % new_ho_10 with pid 2884551 completed with status 0
% 0.09/0.26 % Result found by new_ho_10
% 0.09/0.26 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.26 % No SInE strategy applied
% 0.09/0.26 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.09/0.26 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.26 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.26 % Starting new_ho_10 with 901s (1) cores
% 0.09/0.26 % Starting sh5l with 151s (1) cores
% 0.09/0.26 % Starting new_bool_1 with 151s (1) cores
% 0.09/0.26 % Starting new_bool_2 with 146s (1) cores
% 0.09/0.26 % SubtermCWHack with pid 2884555 completed with status 0
% 0.09/0.26 % Result found by SubtermCWHack
% 0.09/0.26 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.26 % No SInE strategy applied
% 0.09/0.26 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.09/0.26 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.26 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.26 % Preprocessing time : 0.003 s
% 0.09/0.26
% 0.09/0.26 % Proof found!
% 0.09/0.26 % SZS status Theorem
% 0.09/0.26 % SZS output start CNFRefutation
% 0.09/0.26 thf(decl_23, type, in: $i > $i > $o).
% 0.09/0.26 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.09/0.26 thf(decl_25, type, setextAx: $o).
% 0.09/0.26 thf(decl_26, type, emptyset: $i).
% 0.09/0.26 thf(decl_27, type, emptysetAx: $o).
% 0.09/0.26 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.09/0.26 thf(decl_29, type, setadjoinAx: $o).
% 0.09/0.26 thf(decl_30, type, powerset: $i > $i).
% 0.09/0.26 thf(decl_31, type, powersetAx: $o).
% 0.09/0.26 thf(decl_32, type, setunion: $i > $i).
% 0.09/0.26 thf(decl_33, type, setunionAx: $o).
% 0.09/0.26 thf(decl_34, type, omega: $i).
% 0.09/0.26 thf(decl_35, type, omega0Ax: $o).
% 0.09/0.26 thf(decl_36, type, omegaSAx: $o).
% 0.09/0.26 thf(decl_37, type, omegaIndAx: $o).
% 0.09/0.26 thf(decl_38, type, replAx: $o).
% 0.09/0.26 thf(decl_39, type, foundationAx: $o).
% 0.09/0.26 thf(decl_40, type, wellorderingAx: $o).
% 0.09/0.26 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.09/0.26 thf(decl_42, type, descrp: $o).
% 0.09/0.26 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.09/0.26 thf(decl_44, type, dsetconstrI: $o).
% 0.09/0.26 thf(decl_45, type, dsetconstrEL: $o).
% 0.09/0.26 thf(decl_46, type, dsetconstrER: $o).
% 0.09/0.26 thf(decl_47, type, exuE1: $o).
% 0.09/0.26 thf(decl_48, type, prop2set: $o > $i).
% 0.09/0.26 thf(decl_49, type, prop2setE: $o).
% 0.09/0.26 thf(decl_50, type, emptysetE: $o).
% 0.09/0.26 thf(decl_51, type, emptysetimpfalse: $o).
% 0.09/0.26 thf(decl_52, type, notinemptyset: $o).
% 0.09/0.26 thf(decl_53, type, exuE3e: $o).
% 0.09/0.26 thf(decl_54, type, setext: $o).
% 0.09/0.26 thf(decl_55, type, emptyI: $o).
% 0.09/0.26 thf(decl_56, type, noeltsimpempty: $o).
% 0.09/0.26 thf(decl_57, type, setbeta: $o).
% 0.09/0.26 thf(decl_58, type, nonempty: $i > $o).
% 0.09/0.26 thf(decl_59, type, nonemptyE1: $o).
% 0.09/0.26 thf(decl_60, type, nonemptyI: $o).
% 0.09/0.26 thf(decl_61, type, nonemptyI1: $o).
% 0.09/0.26 thf(decl_62, type, setadjoinIL: $o).
% 0.09/0.26 thf(decl_63, type, emptyinunitempty: $o).
% 0.09/0.26 thf(decl_64, type, setadjoinIR: $o).
% 0.09/0.26 thf(decl_65, type, setadjoinE: $o).
% 0.09/0.26 thf(decl_66, type, setadjoinOr: $o).
% 0.09/0.26 thf(decl_67, type, setoftrueEq: $o).
% 0.09/0.26 thf(decl_68, type, powersetI: $o).
% 0.09/0.26 thf(decl_69, type, emptyinPowerset: $o).
% 0.09/0.26 thf(decl_70, type, emptyInPowerset: $o).
% 0.09/0.26 thf(decl_71, type, powersetE: $o).
% 0.09/0.26 thf(decl_72, type, setunionI: $o).
% 0.09/0.26 thf(decl_73, type, setunionE: $o).
% 0.09/0.26 thf(decl_74, type, subPowSU: $o).
% 0.09/0.26 thf(decl_75, type, exuE2: $o).
% 0.09/0.26 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.09/0.26 thf(decl_77, type, uniqinunit: $o).
% 0.09/0.26 thf(decl_78, type, notinsingleton: $o).
% 0.09/0.26 thf(decl_79, type, eqinunit: $o).
% 0.09/0.26 thf(decl_80, type, singletonsswitch: $o).
% 0.09/0.26 thf(decl_81, type, upairsetE: $o).
% 0.09/0.26 thf(decl_82, type, upairsetIL: $o).
% 0.09/0.26 thf(decl_83, type, upairsetIR: $o).
% 0.09/0.26 thf(decl_84, type, emptyE1: $o).
% 0.09/0.26 thf(decl_85, type, vacuousDall: $o).
% 0.09/0.26 thf(decl_86, type, epred1_0: $o).
% 0.09/0.26 thf(decl_87, type, esk1_2: $i > $i > $i).
% 0.09/0.26 thf(decl_88, type, esk2_2: $i > $i > $i).
% 0.09/0.26 thf(decl_89, type, esk3_2: $i > $i > $i).
% 0.09/0.26 thf(decl_90, type, esk4_1: $i > $i).
% 0.09/0.26 thf(decl_91, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.09/0.26 thf(decl_92, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.09/0.26 thf(decl_93, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.09/0.26 thf(decl_94, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.09/0.26 thf(decl_95, type, esk9_1: $i > $i).
% 0.09/0.26 thf(decl_96, type, esk10_2: ($i > $o) > $i > $i).
% 0.09/0.26 thf(decl_97, type, esk11_2: ($i > $o) > $i > $i).
% 0.09/0.26 thf(decl_98, type, esk12_1: ($i > $o) > $i).
% 0.09/0.26 thf(decl_99, type, esk13_2: ($i > $o) > $i > $i).
% 0.09/0.26 thf(decl_100, type, esk14_1: ($i > $o) > $i).
% 0.09/0.26 thf(decl_101, type, esk15_2: $i > $i > $i).
% 0.09/0.26 thf(decl_102, type, esk16_2: $i > $i > $i).
% 0.09/0.26 thf(decl_103, type, esk17_1: $i > $i).
% 0.09/0.26 thf(decl_104, type, esk18_1: $i > $i).
% 0.09/0.26 thf(decl_105, type, esk19_1: $i > $i).
% 0.09/0.26 thf(decl_106, type, esk20_2: $i > $i > $i).
% 0.09/0.26 thf(decl_107, type, esk21_3: $i > $i > $o > $i).
% 0.09/0.26 thf(decl_108, type, esk22_2: ($i > $o) > $i > $i).
% 0.09/0.26 thf(decl_109, type, esk23_1: ($i > $o) > $i).
% 0.09/0.26 thf(decl_110, type, esk24_1: $i > $i).
% 0.09/0.26 thf(decl_111, type, esk25_0: $i).
% 0.09/0.26 thf(decl_112, type, epred2_0: $i > $o).
% 0.09/0.26 thf(decl_113, type, esk26_0: $i).
% 0.09/0.26 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', replAx)).
% 0.09/0.26 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', exu)).
% 0.09/0.26 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', descrp)).
% 0.09/0.26 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', exuE1)).
% 0.09/0.26 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', exuE3e)).
% 0.09/0.26 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', nonempty)).
% 0.09/0.26 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', nonemptyI)).
% 0.09/0.26 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', exuE2)).
% 0.09/0.26 thf(quantDeMorgan1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', quantDeMorgan1)).
% 0.09/0.26 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', dsetconstrI)).
% 0.09/0.26 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', dsetconstrEL)).
% 0.09/0.26 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', dsetconstrER)).
% 0.09/0.26 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setbeta)).
% 0.09/0.26 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', nonemptyE1)).
% 0.09/0.26 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', nonemptyI1)).
% 0.09/0.26 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setoftrueEq)).
% 0.09/0.26 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', nonemptyImpWitness)).
% 0.09/0.26 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptyE1)).
% 0.09/0.26 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setextAx)).
% 0.09/0.26 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptysetAx)).
% 0.09/0.26 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setadjoinAx)).
% 0.09/0.26 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', powersetAx)).
% 0.09/0.26 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setunionAx)).
% 0.09/0.26 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', omega0Ax)).
% 0.09/0.26 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', omegaSAx)).
% 0.09/0.26 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', omegaIndAx)).
% 0.09/0.26 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', foundationAx)).
% 0.09/0.26 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', wellorderingAx)).
% 0.09/0.26 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', prop2setE)).
% 0.09/0.26 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptysetE)).
% 0.09/0.26 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptysetimpfalse)).
% 0.09/0.26 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', notinemptyset)).
% 0.09/0.26 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setext)).
% 0.09/0.26 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptyI)).
% 0.09/0.26 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', noeltsimpempty)).
% 0.09/0.26 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setadjoinIL)).
% 0.09/0.26 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptyinunitempty)).
% 0.09/0.26 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setadjoinIR)).
% 0.09/0.26 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/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setadjoinE)).
% 0.09/0.26 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setadjoinOr)).
% 0.09/0.26 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', powersetI)).
% 0.09/0.26 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptyinPowerset)).
% 0.09/0.26 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', emptyInPowerset)).
% 0.09/0.26 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', powersetE)).
% 0.09/0.26 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setunionI)).
% 0.09/0.26 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/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', setunionE)).
% 0.09/0.26 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', subPowSU)).
% 0.09/0.26 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', uniqinunit)).
% 0.09/0.26 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', notinsingleton)).
% 0.09/0.26 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', eqinunit)).
% 0.09/0.26 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', singletonsswitch)).
% 0.09/0.26 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', upairsetE)).
% 0.09/0.26 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', upairsetIL)).
% 0.09/0.26 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', upairsetIR)).
% 0.09/0.26 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hTDs02vAEL/E---3.1_2884519.p', vacuousDall)).
% 0.09/0.26 thf(c_0_55, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.09/0.26 thf(c_0_56, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.09/0.26 thf(c_0_57, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.09/0.26 thf(c_0_58, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.09/0.26 thf(c_0_59, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.09/0.26 thf(c_0_60, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.09/0.26 thf(c_0_61, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.09/0.26 thf(c_0_62, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.09/0.26 thf(c_0_63, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[quantDeMorgan1])).
% 0.09/0.26 thf(c_0_64, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X160:$i]:(((((X6 @ X2 @ X160)))&(![X161:$i]:(((((X6 @ X2 @ X161)))=>(((X160)=(X161)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_55, c_0_56])).
% 0.09/0.26 thf(c_0_65, plain, ((descrp)=(![X1:$i > $o]:((((?[X162:$i]:(((((X1 @ X162)))&(![X163:$i]:(((((X1 @ X163)))=>(((X162)=(X163))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_57, c_0_56])).
% 0.09/0.26 thf(c_0_66, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.09/0.26 thf(c_0_67, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.09/0.26 thf(c_0_68, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.09/0.26 thf(c_0_69, plain, ((exuE1)=(![X1:$i > $o]:((((?[X164:$i]:(((((X1 @ X164)))&(![X165:$i]:(((((X1 @ X165)))=>(((X164)=(X165))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_58, c_0_56])).
% 0.09/0.26 thf(c_0_70, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X166:$i]:(((((X1 @ X166)))&(![X167:$i]:(((((X1 @ X167)))=>(((X166)=(X167))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_59, c_0_56])).
% 0.09/0.26 thf(c_0_71, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.09/0.26 thf(c_0_72, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_60])).
% 0.09/0.26 thf(c_0_73, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_61, c_0_60])).
% 0.09/0.26 thf(c_0_74, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_60])).
% 0.09/0.26 thf(c_0_75, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.09/0.26 thf(c_0_76, plain, ((exuE2)=(![X1:$i > $o]:((((?[X168:$i]:(((((X1 @ X168)))&(![X169:$i]:(((((X1 @ X169)))=>(((X168)=(X169))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_56])).
% 0.09/0.26 thf(c_0_77, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_60])).
% 0.09/0.26 thf(c_0_78, 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])).
% 0.09/0.26 thf(c_0_79, plain, ((epred1_0)<=>![X199:$i]:(?[X200:$i]:((((![X201:$i]:(((in @ X201 @ X200)=>![X202:$i]:(((in @ X202 @ X201)=>(in @ X202 @ X199)))))&![X203:$i, X204:$i]:((((in @ X203 @ X199)&(in @ X204 @ X199))=>(![X205:$i]:(((in @ X205 @ X200)=>((in @ X203 @ X205)<=>(in @ X204 @ X205))))=>((X203)=(X204))))))&![X206:$i, X207:$i]:((((in @ X206 @ X200)&(in @ X207 @ X200))=>(![X208:$i]:(((in @ X208 @ X206)=>(in @ X208 @ X207)))|![X209:$i]:(((in @ X209 @ X207)=>(in @ X209 @ X206)))))))&![X210:$i]:(((![X211:$i]:(((in @ X211 @ X210)=>(in @ X211 @ X199)))&?[X212:$i]:((in @ X212 @ X210)))=>?[X213:$i, X214:$i]:(((((in @ X213 @ X200)&(in @ X214 @ X210))&~(?[X215:$i]:(((in @ X215 @ X213)&(in @ X215 @ X210)))))&![X216:$i]:(((in @ X216 @ X200)=>(![X217:$i]:(((in @ X217 @ X216)=>(in @ X217 @ X213)))|(in @ X214 @ X216)))))))))))), introduced(definition)).
% 0.09/0.26 thf(c_0_80, negated_conjecture, ~((![X170:$i, X171:$i]:((![X172:$i]:(((in @ X172 @ X170)<=>(in @ X172 @ X171)))=>((X170)=(X171))))=>(![X173:$i]:(~(in @ X173 @ emptyset))=>(![X174:$i, X175:$i, X176:$i]:(((in @ X176 @ (setadjoin @ X174 @ X175))<=>(((X176)=(X174))|(in @ X176 @ X175))))=>(![X177:$i, X178:$i]:(((in @ X178 @ (powerset @ X177))<=>![X179:$i]:(((in @ X179 @ X178)=>(in @ X179 @ X177)))))=>(![X180:$i, X181:$i]:(((in @ X181 @ (setunion @ X180))<=>?[X182:$i]:(((in @ X181 @ X182)&(in @ X182 @ X180)))))=>((in @ emptyset @ omega)=>(![X183:$i]:(((in @ X183 @ omega)=>(in @ (setadjoin @ X183 @ X183) @ omega)))=>(![X184:$i]:((((in @ emptyset @ X184)&![X185:$i]:((((in @ X185 @ omega)&(in @ X185 @ X184))=>(in @ (setadjoin @ X185 @ X185) @ X184))))=>![X186:$i]:(((in @ X186 @ omega)=>(in @ X186 @ X184)))))=>(![X187:$i > $i > $o, X188:$i]:((![X189:$i]:(((in @ X189 @ X188)=>?[X190:$i]:(((X187 @ X189 @ X190)&![X191:$i]:(((X187 @ X189 @ X191)=>((X190)=(X191))))))))=>?[X192:$i]:(![X193:$i]:(((in @ X193 @ X192)<=>?[X194:$i]:(((in @ X194 @ X188)&(X187 @ X194 @ X193))))))))=>(![X195:$i]:((?[X196:$i]:((in @ X196 @ X195))=>?[X197:$i]:(((in @ X197 @ X195)&~(?[X198:$i]:(((in @ X198 @ X197)&(in @ X198 @ X195))))))))=>((epred1_0)=>(![X218:$i > $o]:((?[X219:$i]:(((X218 @ X219)&![X220:$i]:(((X218 @ X220)=>((X219)=(X220))))))=>(X218 @ (descr @ (^[Z0:$i]:(X218 @ Z0))))))=>(![X221:$i, X222:$i > $o, X223:$i]:(((in @ X223 @ X221)=>((X222 @ X223)=>(in @ X223 @ (dsetconstr @ X221 @ X222)))))=>(![X224:$i, X225:$i > $o, X226:$i]:(((in @ X226 @ (dsetconstr @ X224 @ X225))=>(in @ X226 @ X224)))=>(![X227:$i, X228:$i > $o, X229:$i]:(((in @ X229 @ (dsetconstr @ X227 @ X228))=>(X228 @ X229)))=>(![X230:$i > $o]:((?[X231:$i]:(((X230 @ X231)&![X232:$i]:(((X230 @ X232)=>((X231)=(X232))))))=>?[X233:$i]:(((X230 @ X233)&![X234:$i]:(((X230 @ X234)=>((X233)=(X234))))))))=>(![X235:$o, X236:$i]:(((in @ X236 @ (prop2set @ ((X235))))=>(X235)))=>(![X237:$i]:(((in @ X237 @ emptyset)=>![X238:$o]:((X238))))=>(![X239:$i]:(((in @ X239 @ emptyset)=>~($true)))=>(![X240:$i]:(~(in @ X240 @ emptyset))=>(![X241:$i > $o]:((?[X242:$i]:(((X241 @ X242)&![X243:$i]:(((X241 @ X243)=>((X242)=(X243))))))=>?[X244:$i]:((X241 @ X244))))=>(![X245:$i, X246:$i]:((![X247:$i]:(((in @ X247 @ X245)=>(in @ X247 @ X246)))=>(![X248:$i]:(((in @ X248 @ X246)=>(in @ X248 @ X245)))=>((X245)=(X246)))))=>(![X249:$i]:((![X250:$i]:(~(in @ X250 @ X249))=>((X249)=(emptyset))))=>(![X251:$i]:((![X252:$i]:(~(in @ X252 @ X251))=>((X251)=(emptyset))))=>(![X253:$i, X254:$i > $o, X255:$i]:(((in @ X255 @ X253)=>((in @ X255 @ (dsetconstr @ X253 @ X254))<=>(X254 @ X255))))=>(![X256:$i]:((((X256)!=(emptyset))=>?[X257:$i]:((in @ X257 @ X256))))=>(![X258:$i, X259:$i > $o, X260:$i]:(((in @ X260 @ X258)=>((X259 @ X260)=>((dsetconstr @ X258 @ X259)!=(emptyset)))))=>(![X261:$i]:((?[X262:$i]:((in @ X262 @ X261))=>((X261)!=(emptyset))))=>(![X263:$i, X264:$i]:((in @ X263 @ (setadjoin @ X263 @ X264)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X265:$i, X266:$i, X267:$i]:(((in @ X267 @ X266)=>(in @ X267 @ (setadjoin @ X265 @ X266))))=>(![X268:$i, X269:$i, X270:$i]:(((in @ X270 @ (setadjoin @ X268 @ X269))=>![X271:$o]:(((((X270)=(X268))=>(X271))=>(((in @ X270 @ X269)=>(X271))=>(X271))))))=>(![X272:$i, X273:$i, X274:$i]:(((in @ X274 @ (setadjoin @ X272 @ X273))=>(((X274)=(X272))|(in @ X274 @ X273))))=>(![X275:$i]:(((dsetconstr @ X275 @ (^[Z0:$i]:($true)))=(X275)))=>(![X276:$i, X277:$i]:((![X278:$i]:(((in @ X278 @ X277)=>(in @ X278 @ X276)))=>(in @ X277 @ (powerset @ X276))))=>(![X279:$i]:((in @ emptyset @ (powerset @ X279)))=>(![X280:$i]:((in @ emptyset @ (powerset @ X280)))=>(![X281:$i, X282:$i, X283:$i]:(((in @ X282 @ (powerset @ X281))=>((in @ X283 @ X282)=>(in @ X283 @ X281))))=>(![X284:$i, X285:$i, X286:$i]:(((in @ X285 @ X286)=>((in @ X286 @ X284)=>(in @ X285 @ (setunion @ X284)))))=>(![X287:$i, X288:$i]:(((in @ X288 @ (setunion @ X287))=>![X289:$o]:((![X290:$i]:(((in @ X288 @ X290)=>((in @ X290 @ X287)=>(X289))))=>(X289)))))=>(![X291:$i, X292:$i]:(((in @ X292 @ X291)=>(in @ X292 @ (powerset @ (setunion @ X291)))))=>(![X293:$i > $o]:((?[X294:$i]:(((X293 @ X294)&![X295:$i]:(((X293 @ X295)=>((X294)=(X295))))))=>?[X296:$i]:(![X297:$i]:(((X293 @ X297)<=>((X297)=(X296)))))))=>(![X298:$i]:((((X298)!=(emptyset))=>?[X299:$i]:(((in @ X299 @ X298)&$true))))=>(![X300:$i, X301:$i]:(((in @ X300 @ (setadjoin @ X301 @ emptyset))=>((X300)=(X301))))=>(![X302:$i, X303:$i]:((((X302)!=(X303))=>~(in @ X303 @ (setadjoin @ X302 @ emptyset))))=>(![X304:$i, X305:$i]:((((X304)=(X305))=>(in @ X304 @ (setadjoin @ X305 @ emptyset))))=>(![X306:$i, X307:$i]:(((in @ X306 @ (setadjoin @ X307 @ emptyset))=>(in @ X307 @ (setadjoin @ X306 @ emptyset))))=>(![X308:$i, X309:$i, X310:$i]:(((in @ X310 @ (setadjoin @ X308 @ (setadjoin @ X309 @ emptyset)))=>(((X310)=(X308))|((X310)=(X309)))))=>(![X311:$i, X312:$i]:((in @ X311 @ (setadjoin @ X311 @ (setadjoin @ X312 @ emptyset))))=>(![X313:$i, X314:$i]:((in @ X314 @ (setadjoin @ X313 @ (setadjoin @ X314 @ emptyset))))=>(![X315:$i, X316:$i > $o]:((?[X317:$i]:(((in @ X317 @ X315)&(X316 @ X317)))=>(((dsetconstr @ X315 @ X316)=(emptyset))=>~($true))))=>(![X318:$i > $o, X319:$i]:(((in @ X319 @ emptyset)=>(X318 @ X319)))=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_63, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_64]), foundationAx]), wellorderingAx]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_70]), setext]), emptyI]), noeltsimpempty]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_75]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_76]), c_0_77]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_78]), vacuousDall])])]), c_0_79])).
% 0.09/0.26 thf(c_0_81, negated_conjecture, ![X322:$i, X323:$i, X325:$i, X326:$i, X327:$i, X328:$i, X329:$i, X330:$i, X331:$i, X332:$i, X333:$i, X335:$i, X336:$i, X338:$i, X339:$i, X340:$i, X341:$i, X342:$i, X344:$i, X345:$i > $i > $o, X346:$i, X348:$i, X351:$i, X353:$i, X354:$i, X355:$i, X356:$i, X358:$i, X359:$i > $o, X360:$i, X362:$i, X363:$i > $o, X364:$i, X365:$i, X366:$i > $o, X367:$i, X368:$i, X369:$i > $o, X370:$i, X371:$i > $o, X372:$i, X375:$i, X376:$o, X377:$i, X378:$i, X379:$o, X380:$i, X381:$i, X382:$i > $o, X383:$i, X386:$i, X387:$i, X390:$i, X392:$i, X394:$i, X395:$i > $o, X396:$i, X397:$i, X399:$i, X400:$i > $o, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X408:$i, X409:$i, X410:$i, X411:$i, X412:$o, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X427:$i, X428:$i, X429:$i, X430:$o, X432:$i, X433:$i, X434:$i > $o, X435:$i, X438:$i, X439:$i, X440:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X448:$i, X449:$i, X450:$i, X451:$i, X452:$i, X453:$i, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i > $o, X459:$i, X460:$i > $o, X461:$i, X465:$i]:((((~(in @ (esk1_2 @ X322 @ X323) @ X322)|~(in @ (esk1_2 @ X322 @ X323) @ X323)|((X322)=(X323)))&((in @ (esk1_2 @ X322 @ X323) @ X322)|(in @ (esk1_2 @ X322 @ X323) @ X323)|((X322)=(X323))))&(~(in @ X325 @ emptyset)&(((~(in @ X328 @ (setadjoin @ X326 @ X327))|(((X328)=(X326))|(in @ X328 @ X327)))&((((X328)!=(X326))|(in @ X328 @ (setadjoin @ X326 @ X327)))&(~(in @ X328 @ X327)|(in @ X328 @ (setadjoin @ X326 @ X327)))))&(((~(in @ X330 @ (powerset @ X329))|(~(in @ X331 @ X330)|(in @ X331 @ X329)))&(((in @ (esk2_2 @ X332 @ X333) @ X333)|(in @ X333 @ (powerset @ X332)))&(~(in @ (esk2_2 @ X332 @ X333) @ X332)|(in @ X333 @ (powerset @ X332)))))&(((((in @ X336 @ (esk3_2 @ X335 @ X336))|~(in @ X336 @ (setunion @ X335)))&((in @ (esk3_2 @ X335 @ X336) @ X335)|~(in @ X336 @ (setunion @ X335))))&(~(in @ X339 @ X340)|~(in @ X340 @ X338)|(in @ X339 @ (setunion @ X338))))&((in @ emptyset @ omega)&((~(in @ X341 @ omega)|(in @ (setadjoin @ X341 @ X341) @ omega))&(((((in @ (esk4_1 @ X342) @ omega)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342)))&((in @ (esk4_1 @ X342) @ X342)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342))))&(~(in @ (setadjoin @ (esk4_1 @ X342) @ (esk4_1 @ X342)) @ X342)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342))))&((((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346)))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346)))&(((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348)))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348)))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))))&((((in @ (esk9_1 @ X355) @ X355)|~(in @ X356 @ X355))&(~(in @ X358 @ (esk9_1 @ X355))|~(in @ X358 @ X355)|~(in @ X356 @ X355)))&((epred1_0)&((((X359 @ (esk10_2 @ X359 @ X360))|~(X359 @ X360)|(X359 @ (descr @ X359)))&(((X360)!=(esk10_2 @ X359 @ X360))|~(X359 @ X360)|(X359 @ (descr @ X359))))&((~(in @ X364 @ X362)|(~(X363 @ X364)|(in @ X364 @ (dsetconstr @ X362 @ X363))))&((~(in @ X367 @ (dsetconstr @ X365 @ X366))|(in @ X367 @ X365))&((~(in @ X370 @ (dsetconstr @ X368 @ X369))|(X369 @ X370))&(((((X371 @ (esk12_1 @ X371))|((X371 @ (esk11_2 @ X371 @ X372))|~(X371 @ X372)))&(~(X371 @ X375)|((esk12_1 @ X371)=(X375))|((X371 @ (esk11_2 @ X371 @ X372))|~(X371 @ X372))))&(((X371 @ (esk12_1 @ X371))|(((X372)!=(esk11_2 @ X371 @ X372))|~(X371 @ X372)))&(~(X371 @ X375)|((esk12_1 @ X371)=(X375))|(((X372)!=(esk11_2 @ X371 @ X372))|~(X371 @ X372)))))&((~(in @ X377 @ (prop2set @ ((X376))))|(X376))&((~(in @ X378 @ emptyset)|(X379))&((~(in @ X380 @ emptyset)|~($true))&(~(in @ X381 @ emptyset)&((((X382 @ (esk13_2 @ X382 @ X383))|~(X382 @ X383)|(X382 @ (esk14_1 @ X382)))&(((X383)!=(esk13_2 @ X382 @ X383))|~(X382 @ X383)|(X382 @ (esk14_1 @ X382))))&(((((in @ (esk16_2 @ X386 @ X387) @ X387)|((X386)=(X387))|(in @ (esk15_2 @ X386 @ X387) @ X386))&(~(in @ (esk16_2 @ X386 @ X387) @ X386)|((X386)=(X387))|(in @ (esk15_2 @ X386 @ X387) @ X386)))&(((in @ (esk16_2 @ X386 @ X387) @ X387)|((X386)=(X387))|~(in @ (esk15_2 @ X386 @ X387) @ X387))&(~(in @ (esk16_2 @ X386 @ X387) @ X386)|((X386)=(X387))|~(in @ (esk15_2 @ X386 @ X387) @ X387))))&(((in @ (esk17_1 @ X390) @ X390)|((X390)=(emptyset)))&(((in @ (esk18_1 @ X392) @ X392)|((X392)=(emptyset)))&(((~(in @ X396 @ (dsetconstr @ X394 @ X395))|(X395 @ X396)|~(in @ X396 @ X394))&(~(X395 @ X396)|(in @ X396 @ (dsetconstr @ X394 @ X395))|~(in @ X396 @ X394)))&((((X397)=(emptyset))|(in @ (esk19_1 @ X397) @ X397))&((~(in @ X401 @ X399)|(~(X400 @ X401)|((dsetconstr @ X399 @ X400)!=(emptyset))))&((~(in @ X403 @ X402)|((X402)!=(emptyset)))&((in @ X404 @ (setadjoin @ X404 @ X405))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X408 @ X407)|(in @ X408 @ (setadjoin @ X406 @ X407)))&(((((in @ X411 @ X410)|(X412)|((X411)=(X409))|~(in @ X411 @ (setadjoin @ X409 @ X410)))&(~(X412)|(X412)|((X411)=(X409))|~(in @ X411 @ (setadjoin @ X409 @ X410))))&(((in @ X411 @ X410)|(X412)|~(X412)|~(in @ X411 @ (setadjoin @ X409 @ X410)))&(~(X412)|(X412)|~(X412)|~(in @ X411 @ (setadjoin @ X409 @ X410)))))&((~(in @ X415 @ (setadjoin @ X413 @ X414))|(((X415)=(X413))|(in @ X415 @ X414)))&(((dsetconstr @ X416 @ (^[Z0:$i]:($true)))=(X416))&((((in @ (esk20_2 @ X417 @ X418) @ X418)|(in @ X418 @ (powerset @ X417)))&(~(in @ (esk20_2 @ X417 @ X418) @ X417)|(in @ X418 @ (powerset @ X417))))&((in @ emptyset @ (powerset @ X420))&((in @ emptyset @ (powerset @ X421))&((~(in @ X423 @ (powerset @ X422))|(~(in @ X424 @ X423)|(in @ X424 @ X422)))&((~(in @ X426 @ X427)|(~(in @ X427 @ X425)|(in @ X426 @ (setunion @ X425))))&((((in @ X429 @ (esk21_3 @ X428 @ X429 @ X430))|(X430)|~(in @ X429 @ (setunion @ X428)))&(((in @ (esk21_3 @ X428 @ X429 @ X430) @ X428)|(X430)|~(in @ X429 @ (setunion @ X428)))&(~(X430)|(X430)|~(in @ X429 @ (setunion @ X428)))))&((~(in @ X433 @ X432)|(in @ X433 @ (powerset @ (setunion @ X432))))&((((~(X434 @ X438)|((X438)=(esk23_1 @ X434))|((X434 @ (esk22_2 @ X434 @ X435))|~(X434 @ X435)))&(((X439)!=(esk23_1 @ X434))|(X434 @ X439)|((X434 @ (esk22_2 @ X434 @ X435))|~(X434 @ X435))))&((~(X434 @ X438)|((X438)=(esk23_1 @ X434))|(((X435)!=(esk22_2 @ X434 @ X435))|~(X434 @ X435)))&(((X439)!=(esk23_1 @ X434))|(X434 @ X439)|(((X435)!=(esk22_2 @ X434 @ X435))|~(X434 @ X435)))))&((((in @ (esk24_1 @ X440) @ X440)|((X440)=(emptyset)))&(($true)|((X440)=(emptyset))))&((~(in @ X442 @ (setadjoin @ X443 @ emptyset))|((X442)=(X443)))&((((X444)=(X445))|~(in @ X445 @ (setadjoin @ X444 @ emptyset)))&((((X446)!=(X447))|(in @ X446 @ (setadjoin @ X447 @ emptyset)))&((~(in @ X448 @ (setadjoin @ X449 @ emptyset))|(in @ X449 @ (setadjoin @ X448 @ emptyset)))&((~(in @ X452 @ (setadjoin @ X450 @ (setadjoin @ X451 @ emptyset)))|(((X452)=(X450))|((X452)=(X451))))&((in @ X453 @ (setadjoin @ X453 @ (setadjoin @ X454 @ emptyset)))&((in @ X456 @ (setadjoin @ X455 @ (setadjoin @ X456 @ emptyset)))&((~(in @ X459 @ X457)|~(X458 @ X459)|(((dsetconstr @ X457 @ X458)!=(emptyset))|~($true)))&((~(in @ X461 @ emptyset)|(X460 @ X461))&(((in @ esk26_0 @ esk25_0)&~(epred2_0 @ esk26_0))&(~(in @ X465 @ esk25_0)|(epred2_0 @ X465)))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_80])])])])])])])).
% 0.09/0.26 thf(c_0_82, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ esk25_0)))), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.09/0.26 thf(c_0_83, negated_conjecture, (in @ esk26_0 @ esk25_0), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.09/0.26 thf(c_0_84, negated_conjecture, ~((epred2_0 @ esk26_0)), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.09/0.26 thf(c_0_85, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84]), ['proof']).
% 0.09/0.26 % SZS output end CNFRefutation
% 0.09/0.26 % Parsed axioms : 119
% 0.09/0.26 % Removed by relevancy pruning/SinE : 0
% 0.09/0.26 % Initial clauses : 171
% 0.09/0.26 % Removed in clause preprocessing : 68
% 0.09/0.26 % Initial clauses in saturation : 103
% 0.09/0.26 % Processed clauses : 15
% 0.09/0.26 % ...of these trivial : 1
% 0.09/0.26 % ...subsumed : 3
% 0.09/0.26 % ...remaining for further processing : 11
% 0.09/0.26 % Other redundant clauses eliminated : 0
% 0.09/0.26 % Clauses deleted for lack of memory : 0
% 0.09/0.26 % Backward-subsumed : 0
% 0.09/0.26 % Backward-rewritten : 0
% 0.09/0.26 % Generated clauses : 1
% 0.09/0.26 % ...of the previous two non-redundant : 0
% 0.09/0.26 % ...aggressively subsumed : 0
% 0.09/0.26 % Contextual simplify-reflections : 0
% 0.09/0.26 % Paramodulations : 1
% 0.09/0.26 % Factorizations : 0
% 0.09/0.26 % NegExts : 0
% 0.09/0.26 % Equation resolutions : 0
% 0.09/0.26 % Disequality decompositions : 0
% 0.09/0.26 % Total rewrite steps : 1
% 0.09/0.26 % ...of those cached : 0
% 0.09/0.26 % Propositional unsat checks : 0
% 0.09/0.26 % Propositional check models : 0
% 0.09/0.26 % Propositional check unsatisfiable : 0
% 0.09/0.26 % Propositional clauses : 0
% 0.09/0.26 % Propositional clauses after purity: 0
% 0.09/0.26 % Propositional unsat core size : 0
% 0.09/0.26 % Propositional preprocessing time : 0.000
% 0.09/0.26 % Propositional encoding time : 0.000
% 0.09/0.26 % Propositional solver time : 0.000
% 0.09/0.26 % Success case prop preproc time : 0.000
% 0.09/0.26 % Success case prop encoding time : 0.000
% 0.09/0.26 % Success case prop solver time : 0.000
% 0.09/0.26 % Current number of processed clauses : 11
% 0.09/0.26 % Positive orientable unit clauses : 6
% 0.09/0.26 % Positive unorientable unit clauses: 0
% 0.09/0.26 % Negative unit clauses : 4
% 0.09/0.26 % Non-unit-clauses : 1
% 0.09/0.26 % Current number of unprocessed clauses: 88
% 0.09/0.26 % ...number of literals in the above : 275
% 0.09/0.26 % Current number of archived formulas : 0
% 0.09/0.26 % Current number of archived clauses : 0
% 0.09/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.26 % Non-unit clause-clause subsumptions : 0
% 0.09/0.26 % Unit Clause-clause subsumption calls : 0
% 0.09/0.26 % Rewrite failures with RHS unbound : 0
% 0.09/0.26 % BW rewrite match attempts : 0
% 0.09/0.26 % BW rewrite match successes : 0
% 0.09/0.26 % Condensation attempts : 0
% 0.09/0.26 % Condensation successes : 0
% 0.09/0.26 % Termbank termtop insertions : 14211
% 0.09/0.26 % Search garbage collected termcells : 5391
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.012 s
% 0.09/0.26 % System time : 0.004 s
% 0.09/0.26 % Total time : 0.015 s
% 0.09/0.26 % Maximum resident set size: 5040 pages
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.031 s
% 0.09/0.26 % System time : 0.019 s
% 0.09/0.26 % Total time : 0.050 s
% 0.09/0.26 % Maximum resident set size: 4864 pages
% 0.09/0.26 % E exiting
%------------------------------------------------------------------------------