%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU519^1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:33 AM UTC 2026
% Result : Theorem 0.30s 0.26s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU519^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:45:41 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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.xtHVkaGnvx/E---3.1_3383753.p
% 0.30/0.26 % Version: 3.5.1-ho
% 0.30/0.26 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.30/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.30/0.26 % Starting sh5l with 300s (1) cores
% 0.30/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.30/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.30/0.26 % sh5l with pid 3383784 completed with status 0
% 0.30/0.26 % Result found by sh5l
% 0.30/0.26 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.30/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.30/0.26 % Starting sh5l with 300s (1) cores
% 0.30/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.30/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.30/0.26 % Search class: HGHSS-FFMS31-SHFSMSBN
% 0.30/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.30/0.26 % SubtermCWHack with pid 3383788 completed with status 0
% 0.30/0.26 % Result found by SubtermCWHack
% 0.30/0.26 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.30/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.30/0.26 % Starting sh5l with 300s (1) cores
% 0.30/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.30/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.30/0.26 % Search class: HGHSS-FFMS31-SHFSMSBN
% 0.30/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.30/0.26 % Preprocessing time : 0.003 s
% 0.30/0.26
% 0.30/0.26 % Proof found!
% 0.30/0.26 % SZS status Theorem
% 0.30/0.26 % SZS output start CNFRefutation
% 0.30/0.26 thf(decl_23, type, in: $i > $i > $o).
% 0.30/0.26 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.30/0.26 thf(decl_25, type, setextAx: $o).
% 0.30/0.26 thf(decl_26, type, emptyset: $i).
% 0.30/0.26 thf(decl_27, type, emptysetAx: $o).
% 0.30/0.26 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.30/0.26 thf(decl_29, type, setadjoinAx: $o).
% 0.30/0.26 thf(decl_30, type, powerset: $i > $i).
% 0.30/0.26 thf(decl_31, type, powersetAx: $o).
% 0.30/0.26 thf(decl_32, type, setunion: $i > $i).
% 0.30/0.26 thf(decl_33, type, setunionAx: $o).
% 0.30/0.26 thf(decl_34, type, omega: $i).
% 0.30/0.26 thf(decl_35, type, omega0Ax: $o).
% 0.30/0.26 thf(decl_36, type, omegaSAx: $o).
% 0.30/0.26 thf(decl_37, type, omegaIndAx: $o).
% 0.30/0.26 thf(decl_38, type, replAx: $o).
% 0.30/0.26 thf(decl_39, type, foundationAx: $o).
% 0.30/0.26 thf(decl_40, type, wellorderingAx: $o).
% 0.30/0.26 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.30/0.26 thf(decl_42, type, descrp: $o).
% 0.30/0.26 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.30/0.26 thf(decl_44, type, dsetconstrI: $o).
% 0.30/0.26 thf(decl_45, type, dsetconstrEL: $o).
% 0.30/0.26 thf(decl_46, type, dsetconstrER: $o).
% 0.30/0.26 thf(decl_47, type, exuE1: $o).
% 0.30/0.26 thf(decl_48, type, prop2set: $o > $i).
% 0.30/0.26 thf(decl_49, type, prop2setE: $o).
% 0.30/0.26 thf(decl_50, type, emptysetE: $o).
% 0.30/0.26 thf(decl_51, type, emptysetimpfalse: $o).
% 0.30/0.26 thf(decl_52, type, notinemptyset: $o).
% 0.30/0.26 thf(decl_53, type, exuE3e: $o).
% 0.30/0.26 thf(decl_54, type, setext: $o).
% 0.30/0.26 thf(decl_55, type, emptyI: $o).
% 0.30/0.26 thf(decl_56, type, noeltsimpempty: $o).
% 0.30/0.26 thf(decl_57, type, setbeta: $o).
% 0.30/0.26 thf(decl_58, type, nonempty: $i > $o).
% 0.30/0.26 thf(decl_59, type, nonemptyE1: $o).
% 0.30/0.26 thf(decl_60, type, nonemptyI: $o).
% 0.30/0.26 thf(decl_61, type, nonemptyI1: $o).
% 0.30/0.26 thf(decl_62, type, setadjoinIL: $o).
% 0.30/0.26 thf(decl_63, type, emptyinunitempty: $o).
% 0.30/0.26 thf(decl_64, type, setadjoinIR: $o).
% 0.30/0.26 thf(decl_65, type, setadjoinE: $o).
% 0.30/0.26 thf(decl_66, type, setadjoinOr: $o).
% 0.30/0.26 thf(decl_67, type, setoftrueEq: $o).
% 0.30/0.26 thf(decl_68, type, powersetI: $o).
% 0.30/0.26 thf(decl_69, type, epred1_0: $o).
% 0.30/0.26 thf(decl_70, type, esk1_2: $i > $i > $i).
% 0.30/0.26 thf(decl_71, type, esk2_2: $i > $i > $i).
% 0.30/0.26 thf(decl_72, type, esk3_2: $i > $i > $i).
% 0.30/0.26 thf(decl_73, type, esk4_1: $i > $i).
% 0.30/0.26 thf(decl_74, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.30/0.26 thf(decl_75, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.30/0.26 thf(decl_76, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.30/0.26 thf(decl_77, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.30/0.26 thf(decl_78, type, esk9_1: $i > $i).
% 0.30/0.26 thf(decl_79, type, esk10_2: ($i > $o) > $i > $i).
% 0.30/0.26 thf(decl_80, type, esk11_2: ($i > $o) > $i > $i).
% 0.30/0.26 thf(decl_81, type, esk12_1: ($i > $o) > $i).
% 0.30/0.26 thf(decl_82, type, esk13_2: ($i > $o) > $i > $i).
% 0.30/0.26 thf(decl_83, type, esk14_1: ($i > $o) > $i).
% 0.30/0.26 thf(decl_84, type, esk15_2: $i > $i > $i).
% 0.30/0.26 thf(decl_85, type, esk16_2: $i > $i > $i).
% 0.30/0.26 thf(decl_86, type, esk17_1: $i > $i).
% 0.30/0.26 thf(decl_87, type, esk18_1: $i > $i).
% 0.30/0.26 thf(decl_88, type, esk19_1: $i > $i).
% 0.30/0.26 thf(decl_89, type, esk20_2: $i > $i > $i).
% 0.30/0.26 thf(decl_90, type, esk21_0: $i).
% 0.30/0.26 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', nonemptyI)).
% 0.30/0.26 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', nonempty)).
% 0.30/0.26 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', replAx)).
% 0.30/0.26 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', exu)).
% 0.30/0.26 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', prop2set)).
% 0.30/0.26 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', exuE1)).
% 0.30/0.26 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', descrp)).
% 0.30/0.26 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', exuE3e)).
% 0.30/0.26 thf(emptyinPowerset, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptyinPowerset)).
% 0.30/0.26 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', nonemptyI1)).
% 0.30/0.26 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setoftrueEq)).
% 0.30/0.26 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', prop2setE)).
% 0.30/0.26 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', dsetconstrER)).
% 0.30/0.26 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', dsetconstrEL)).
% 0.30/0.26 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', dsetconstrI)).
% 0.30/0.26 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setbeta)).
% 0.30/0.26 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', nonemptyE1)).
% 0.30/0.26 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setadjoinIR)).
% 0.30/0.26 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setadjoinIL)).
% 0.30/0.26 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.xtHVkaGnvx/E---3.1_3383753.p', setadjoinE)).
% 0.30/0.26 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setadjoinOr)).
% 0.30/0.26 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', powersetI)).
% 0.30/0.26 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', omegaIndAx)).
% 0.30/0.26 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', powersetAx)).
% 0.30/0.26 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', omegaSAx)).
% 0.30/0.26 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', omega0Ax)).
% 0.30/0.26 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setunionAx)).
% 0.30/0.26 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setadjoinAx)).
% 0.30/0.26 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptysetAx)).
% 0.30/0.26 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.xtHVkaGnvx/E---3.1_3383753.p', foundationAx)).
% 0.30/0.26 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', wellorderingAx)).
% 0.30/0.26 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptysetE)).
% 0.30/0.26 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', noeltsimpempty)).
% 0.30/0.26 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptyI)).
% 0.30/0.26 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setext)).
% 0.30/0.26 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', notinemptyset)).
% 0.30/0.26 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptysetimpfalse)).
% 0.30/0.26 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', emptyinunitempty)).
% 0.30/0.26 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.xtHVkaGnvx/E---3.1_3383753.p', setextAx)).
% 0.30/0.26 thf(c_0_39, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.30/0.26 thf(c_0_40, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.30/0.26 thf(c_0_41, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.30/0.26 thf(c_0_42, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.30/0.26 thf(c_0_43, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.30/0.26 thf(c_0_44, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.30/0.26 thf(c_0_45, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.30/0.26 thf(c_0_46, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.30/0.26 thf(c_0_47, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[emptyinPowerset])).
% 0.30/0.26 thf(c_0_48, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_39, c_0_40])).
% 0.30/0.26 thf(c_0_49, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_40])).
% 0.30/0.26 thf(c_0_50, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.30/0.26 thf(c_0_51, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X116:$i]:(((((X6 @ X2 @ X116)))&(![X117:$i]:(((((X6 @ X2 @ X117)))=>(((X116)=(X117)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_41, c_0_42])).
% 0.30/0.26 thf(c_0_52, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_43])).
% 0.30/0.26 thf(c_0_53, plain, ((exuE1)=(![X1:$i > $o]:((((?[X120:$i]:(((((X1 @ X120)))&(![X121:$i]:(((((X1 @ X121)))=>(((X120)=(X121))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_44, c_0_42])).
% 0.30/0.26 thf(c_0_54, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.30/0.26 thf(c_0_55, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.30/0.26 thf(c_0_56, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.30/0.26 thf(c_0_57, plain, ((descrp)=(![X1:$i > $o]:((((?[X118:$i]:(((((X1 @ X118)))&(![X119:$i]:(((((X1 @ X119)))=>(((X118)=(X119))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_45, c_0_42])).
% 0.30/0.26 thf(c_0_58, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.30/0.26 thf(c_0_59, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X122:$i]:(((((X1 @ X122)))&(![X123:$i]:(((((X1 @ X123)))=>(((X122)=(X123))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_42])).
% 0.30/0.26 thf(c_0_60, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_40])).
% 0.30/0.26 thf(c_0_61, plain, ((epred1_0)<=>![X153:$i]:(?[X154:$i]:((((![X155:$i]:(((in @ X155 @ X154)=>![X156:$i]:(((in @ X156 @ X155)=>(in @ X156 @ X153)))))&![X157:$i, X158:$i]:((((in @ X157 @ X153)&(in @ X158 @ X153))=>(![X159:$i]:(((in @ X159 @ X154)=>((in @ X157 @ X159)<=>(in @ X158 @ X159))))=>((X157)=(X158))))))&![X160:$i, X161:$i]:((((in @ X160 @ X154)&(in @ X161 @ X154))=>(![X162:$i]:(((in @ X162 @ X160)=>(in @ X162 @ X161)))|![X163:$i]:(((in @ X163 @ X161)=>(in @ X163 @ X160)))))))&![X164:$i]:(((![X165:$i]:(((in @ X165 @ X164)=>(in @ X165 @ X153)))&?[X166:$i]:((in @ X166 @ X164)))=>?[X167:$i, X168:$i]:(((((in @ X167 @ X154)&(in @ X168 @ X164))&~(?[X169:$i]:(((in @ X169 @ X167)&(in @ X169 @ X164)))))&![X170:$i]:(((in @ X170 @ X154)=>(![X171:$i]:(((in @ X171 @ X170)=>(in @ X171 @ X167)))|(in @ X168 @ X170)))))))))))), introduced(definition)).
% 0.30/0.26 thf(c_0_62, negated_conjecture, ~((![X124:$i, X125:$i]:((![X126:$i]:(((in @ X126 @ X124)<=>(in @ X126 @ X125)))=>((X124)=(X125))))=>(![X127:$i]:(~(in @ X127 @ emptyset))=>(![X128:$i, X129:$i, X130:$i]:(((in @ X130 @ (setadjoin @ X128 @ X129))<=>(((X130)=(X128))|(in @ X130 @ X129))))=>(![X131:$i, X132:$i]:(((in @ X132 @ (powerset @ X131))<=>![X133:$i]:(((in @ X133 @ X132)=>(in @ X133 @ X131)))))=>(![X134:$i, X135:$i]:(((in @ X135 @ (setunion @ X134))<=>?[X136:$i]:(((in @ X135 @ X136)&(in @ X136 @ X134)))))=>((in @ emptyset @ omega)=>(![X137:$i]:(((in @ X137 @ omega)=>(in @ (setadjoin @ X137 @ X137) @ omega)))=>(![X138:$i]:((((in @ emptyset @ X138)&![X139:$i]:((((in @ X139 @ omega)&(in @ X139 @ X138))=>(in @ (setadjoin @ X139 @ X139) @ X138))))=>![X140:$i]:(((in @ X140 @ omega)=>(in @ X140 @ X138)))))=>(![X141:$i > $i > $o, X142:$i]:((![X143:$i]:(((in @ X143 @ X142)=>?[X144:$i]:(((X141 @ X143 @ X144)&![X145:$i]:(((X141 @ X143 @ X145)=>((X144)=(X145))))))))=>?[X146:$i]:(![X147:$i]:(((in @ X147 @ X146)<=>?[X148:$i]:(((in @ X148 @ X142)&(X141 @ X148 @ X147))))))))=>(![X149:$i]:((?[X150:$i]:((in @ X150 @ X149))=>?[X151:$i]:(((in @ X151 @ X149)&~(?[X152:$i]:(((in @ X152 @ X151)&(in @ X152 @ X149))))))))=>((epred1_0)=>(![X172:$i > $o]:((?[X173:$i]:(((X172 @ X173)&![X174:$i]:(((X172 @ X174)=>((X173)=(X174))))))=>(X172 @ (descr @ (^[Z0:$i]:(X172 @ Z0))))))=>(![X175:$i, X176:$i > $o, X177:$i]:(((in @ X177 @ X175)=>((X176 @ X177)=>(in @ X177 @ (dsetconstr @ X175 @ X176)))))=>(![X178:$i, X179:$i > $o, X180:$i]:(((in @ X180 @ (dsetconstr @ X178 @ X179))=>(in @ X180 @ X178)))=>(![X181:$i, X182:$i > $o, X183:$i]:(((in @ X183 @ (dsetconstr @ X181 @ X182))=>(X182 @ X183)))=>(![X184:$i > $o]:((?[X185:$i]:(((X184 @ X185)&![X186:$i]:(((X184 @ X186)=>((X185)=(X186))))))=>?[X187:$i]:(((X184 @ X187)&![X188:$i]:(((X184 @ X188)=>((X187)=(X188))))))))=>(![X189:$o, X190:$i]:(((in @ X190 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X189)))))=>(X189)))=>(![X191:$i]:(((in @ X191 @ emptyset)=>![X192:$o]:((X192))))=>(![X193:$i]:(((in @ X193 @ emptyset)=>~($true)))=>(![X194:$i]:(~(in @ X194 @ emptyset))=>(![X195:$i > $o]:((?[X196:$i]:(((X195 @ X196)&![X197:$i]:(((X195 @ X197)=>((X196)=(X197))))))=>?[X198:$i]:((X195 @ X198))))=>(![X199:$i, X200:$i]:((![X201:$i]:(((in @ X201 @ X199)=>(in @ X201 @ X200)))=>(![X202:$i]:(((in @ X202 @ X200)=>(in @ X202 @ X199)))=>((X199)=(X200)))))=>(![X203:$i]:((![X204:$i]:(~(in @ X204 @ X203))=>((X203)=(emptyset))))=>(![X205:$i]:((![X206:$i]:(~(in @ X206 @ X205))=>((X205)=(emptyset))))=>(![X207:$i, X208:$i > $o, X209:$i]:(((in @ X209 @ X207)=>((in @ X209 @ (dsetconstr @ X207 @ X208))<=>(X208 @ X209))))=>(![X210:$i]:((((X210)!=(emptyset))=>?[X211:$i]:((in @ X211 @ X210))))=>(![X212:$i, X213:$i > $o, X214:$i]:(((in @ X214 @ X212)=>((X213 @ X214)=>((dsetconstr @ X212 @ X213)!=(emptyset)))))=>(![X215:$i]:((?[X216:$i]:((in @ X216 @ X215))=>((X215)!=(emptyset))))=>(![X217:$i, X218:$i]:((in @ X217 @ (setadjoin @ X217 @ X218)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X219:$i, X220:$i, X221:$i]:(((in @ X221 @ X220)=>(in @ X221 @ (setadjoin @ X219 @ X220))))=>(![X222:$i, X223:$i, X224:$i]:(((in @ X224 @ (setadjoin @ X222 @ X223))=>![X225:$o]:(((((X224)=(X222))=>(X225))=>(((in @ X224 @ X223)=>(X225))=>(X225))))))=>(![X226:$i, X227:$i, X228:$i]:(((in @ X228 @ (setadjoin @ X226 @ X227))=>(((X228)=(X226))|(in @ X228 @ X227))))=>(![X229:$i]:(((dsetconstr @ X229 @ (^[Z0:$i]:($true)))=(X229)))=>(![X230:$i, X231:$i]:((![X232:$i]:(((in @ X232 @ X231)=>(in @ X232 @ X230)))=>(in @ X231 @ (powerset @ X230))))=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_47, setadjoinIR]), c_0_48]), setadjoinIL]), c_0_49]), setadjoinE]), setadjoinOr]), c_0_50]), powersetI]), c_0_51]), omegaIndAx]), powersetAx]), omegaSAx]), omega0Ax]), setunionAx]), setadjoinAx]), emptysetAx]), foundationAx]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), wellorderingAx]), emptysetE]), c_0_58]), noeltsimpempty]), emptyI]), setext]), c_0_59]), notinemptyset]), emptysetimpfalse]), emptyinunitempty]), c_0_60]), setextAx])])]), c_0_61])).
% 0.30/0.26 thf(c_0_63, negated_conjecture, ![X233:$i, X234:$i, X236:$i, X237:$i, X238:$i, X239:$i, X240:$i, X241:$i, X242:$i, X243:$i, X244:$i, X246:$i, X247:$i, X249:$i, X250:$i, X251:$i, X252:$i, X253:$i, X255:$i, X256:$i > $i > $o, X257:$i, X259:$i, X262:$i, X264:$i, X265:$i, X266:$i, X267:$i, X269:$i, X270:$i > $o, X271:$i, X273:$i, X274:$i > $o, X275:$i, X276:$i, X277:$i > $o, X278:$i, X279:$i, X280:$i > $o, X281:$i, X282:$i > $o, X283:$i, X286:$i, X287:$o, X288:$i, X289:$i, X290:$o, X291:$i, X292:$i, X293:$i > $o, X294:$i, X297:$i, X298:$i, X301:$i, X303:$i, X305:$i, X306:$i > $o, X307:$i, X308:$i, X310:$i, X311:$i > $o, X312:$i, X313:$i, X314:$i, X315:$i, X316:$i, X317:$i, X318:$i, X319:$i, X320:$i, X321:$i, X322:$i, X323:$o, X324:$i, X325:$i, X326:$i, X327:$i, X328:$i, X329:$i]:((((~(in @ (esk1_2 @ X233 @ X234) @ X233)|~(in @ (esk1_2 @ X233 @ X234) @ X234)|((X233)=(X234)))&((in @ (esk1_2 @ X233 @ X234) @ X233)|(in @ (esk1_2 @ X233 @ X234) @ X234)|((X233)=(X234))))&(~(in @ X236 @ emptyset)&(((~(in @ X239 @ (setadjoin @ X237 @ X238))|(((X239)=(X237))|(in @ X239 @ X238)))&((((X239)!=(X237))|(in @ X239 @ (setadjoin @ X237 @ X238)))&(~(in @ X239 @ X238)|(in @ X239 @ (setadjoin @ X237 @ X238)))))&(((~(in @ X241 @ (powerset @ X240))|(~(in @ X242 @ X241)|(in @ X242 @ X240)))&(((in @ (esk2_2 @ X243 @ X244) @ X244)|(in @ X244 @ (powerset @ X243)))&(~(in @ (esk2_2 @ X243 @ X244) @ X243)|(in @ X244 @ (powerset @ X243)))))&(((((in @ X247 @ (esk3_2 @ X246 @ X247))|~(in @ X247 @ (setunion @ X246)))&((in @ (esk3_2 @ X246 @ X247) @ X246)|~(in @ X247 @ (setunion @ X246))))&(~(in @ X250 @ X251)|~(in @ X251 @ X249)|(in @ X250 @ (setunion @ X249))))&((in @ emptyset @ omega)&((~(in @ X252 @ omega)|(in @ (setadjoin @ X252 @ X252) @ omega))&(((((in @ (esk4_1 @ X253) @ omega)|~(in @ emptyset @ X253)|(~(in @ X255 @ omega)|(in @ X255 @ X253)))&((in @ (esk4_1 @ X253) @ X253)|~(in @ emptyset @ X253)|(~(in @ X255 @ omega)|(in @ X255 @ X253))))&(~(in @ (setadjoin @ (esk4_1 @ X253) @ (esk4_1 @ X253)) @ X253)|~(in @ emptyset @ X253)|(~(in @ X255 @ omega)|(in @ X255 @ X253))))&((((((in @ (esk8_3 @ X256 @ X257 @ X262) @ X257)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|(in @ (esk5_2 @ X256 @ X257) @ X257))&((X256 @ (esk8_3 @ X256 @ X257 @ X262) @ X262)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|(in @ (esk5_2 @ X256 @ X257) @ X257)))&(~(in @ X265 @ X257)|~(X256 @ X265 @ X264)|(in @ X264 @ (esk7_2 @ X256 @ X257))|(in @ (esk5_2 @ X256 @ X257) @ X257)))&(((((in @ (esk8_3 @ X256 @ X257 @ X262) @ X257)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|((X256 @ (esk5_2 @ X256 @ X257) @ (esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259)))&((X256 @ (esk8_3 @ X256 @ X257 @ X262) @ X262)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|((X256 @ (esk5_2 @ X256 @ X257) @ (esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259))))&(~(in @ X265 @ X257)|~(X256 @ X265 @ X264)|(in @ X264 @ (esk7_2 @ X256 @ X257))|((X256 @ (esk5_2 @ X256 @ X257) @ (esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259))))&((((in @ (esk8_3 @ X256 @ X257 @ X262) @ X257)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|(((X259)!=(esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259)))&((X256 @ (esk8_3 @ X256 @ X257 @ X262) @ X262)|~(in @ X262 @ (esk7_2 @ X256 @ X257))|(((X259)!=(esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259))))&(~(in @ X265 @ X257)|~(X256 @ X265 @ X264)|(in @ X264 @ (esk7_2 @ X256 @ X257))|(((X259)!=(esk6_3 @ X256 @ X257 @ X259))|~(X256 @ (esk5_2 @ X256 @ X257) @ X259))))))&((((in @ (esk9_1 @ X266) @ X266)|~(in @ X267 @ X266))&(~(in @ X269 @ (esk9_1 @ X266))|~(in @ X269 @ X266)|~(in @ X267 @ X266)))&((epred1_0)&((((X270 @ (esk10_2 @ X270 @ X271))|~(X270 @ X271)|(X270 @ (descr @ X270)))&(((X271)!=(esk10_2 @ X270 @ X271))|~(X270 @ X271)|(X270 @ (descr @ X270))))&((~(in @ X275 @ X273)|(~(X274 @ X275)|(in @ X275 @ (dsetconstr @ X273 @ X274))))&((~(in @ X278 @ (dsetconstr @ X276 @ X277))|(in @ X278 @ X276))&((~(in @ X281 @ (dsetconstr @ X279 @ X280))|(X280 @ X281))&(((((X282 @ (esk12_1 @ X282))|((X282 @ (esk11_2 @ X282 @ X283))|~(X282 @ X283)))&(~(X282 @ X286)|((esk12_1 @ X282)=(X286))|((X282 @ (esk11_2 @ X282 @ X283))|~(X282 @ X283))))&(((X282 @ (esk12_1 @ X282))|(((X283)!=(esk11_2 @ X282 @ X283))|~(X282 @ X283)))&(~(X282 @ X286)|((esk12_1 @ X282)=(X286))|(((X283)!=(esk11_2 @ X282 @ X283))|~(X282 @ X283)))))&((~(in @ X288 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X287)))))|(X287))&((~(in @ X289 @ emptyset)|(X290))&((~(in @ X291 @ emptyset)|~($true))&(~(in @ X292 @ emptyset)&((((X293 @ (esk13_2 @ X293 @ X294))|~(X293 @ X294)|(X293 @ (esk14_1 @ X293)))&(((X294)!=(esk13_2 @ X293 @ X294))|~(X293 @ X294)|(X293 @ (esk14_1 @ X293))))&(((((in @ (esk16_2 @ X297 @ X298) @ X298)|((X297)=(X298))|(in @ (esk15_2 @ X297 @ X298) @ X297))&(~(in @ (esk16_2 @ X297 @ X298) @ X297)|((X297)=(X298))|(in @ (esk15_2 @ X297 @ X298) @ X297)))&(((in @ (esk16_2 @ X297 @ X298) @ X298)|((X297)=(X298))|~(in @ (esk15_2 @ X297 @ X298) @ X298))&(~(in @ (esk16_2 @ X297 @ X298) @ X297)|((X297)=(X298))|~(in @ (esk15_2 @ X297 @ X298) @ X298))))&(((in @ (esk17_1 @ X301) @ X301)|((X301)=(emptyset)))&(((in @ (esk18_1 @ X303) @ X303)|((X303)=(emptyset)))&(((~(in @ X307 @ (dsetconstr @ X305 @ X306))|(X306 @ X307)|~(in @ X307 @ X305))&(~(X306 @ X307)|(in @ X307 @ (dsetconstr @ X305 @ X306))|~(in @ X307 @ X305)))&((((X308)=(emptyset))|(in @ (esk19_1 @ X308) @ X308))&((~(in @ X312 @ X310)|(~(X311 @ X312)|((dsetconstr @ X310 @ X311)!=(emptyset))))&((~(in @ X314 @ X313)|((X313)!=(emptyset)))&((in @ X315 @ (setadjoin @ X315 @ X316))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X319 @ X318)|(in @ X319 @ (setadjoin @ X317 @ X318)))&(((((in @ X322 @ X321)|(X323)|((X322)=(X320))|~(in @ X322 @ (setadjoin @ X320 @ X321)))&(~(X323)|(X323)|((X322)=(X320))|~(in @ X322 @ (setadjoin @ X320 @ X321))))&(((in @ X322 @ X321)|(X323)|~(X323)|~(in @ X322 @ (setadjoin @ X320 @ X321)))&(~(X323)|(X323)|~(X323)|~(in @ X322 @ (setadjoin @ X320 @ X321)))))&((~(in @ X326 @ (setadjoin @ X324 @ X325))|(((X326)=(X324))|(in @ X326 @ X325)))&(((dsetconstr @ X327 @ (^[Z0:$i]:($true)))=(X327))&((((in @ (esk20_2 @ X328 @ X329) @ X329)|(in @ X329 @ (powerset @ X328)))&(~(in @ (esk20_2 @ X328 @ X329) @ X328)|(in @ X329 @ (powerset @ X328))))&~(in @ emptyset @ (powerset @ esk21_0)))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])])])])).
% 0.30/0.26 thf(c_0_64, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_63])).
% 0.30/0.26 thf(c_0_65, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk2_2 @ X2 @ X3) @ X3)|(in @ X3 @ (powerset @ X2)))), inference(split_conjunct,[status(thm)],[c_0_63])).
% 0.30/0.26 thf(c_0_66, negated_conjecture, ~((in @ emptyset @ (powerset @ esk21_0))), inference(split_conjunct,[status(thm)],[c_0_63])).
% 0.30/0.26 thf(c_0_67, negated_conjecture, ![X2:$i]:((in @ emptyset @ (powerset @ X2))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 0.30/0.26 thf(c_0_68, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])]), ['proof']).
% 0.30/0.26 % SZS output end CNFRefutation
% 0.30/0.26 % Parsed axioms : 85
% 0.30/0.26 % Removed by relevancy pruning/SinE : 46
% 0.30/0.26 % Initial clauses : 80
% 0.30/0.26 % Removed in clause preprocessing : 3
% 0.30/0.26 % Initial clauses in saturation : 77
% 0.30/0.26 % Processed clauses : 34
% 0.30/0.26 % ...of these trivial : 0
% 0.30/0.26 % ...subsumed : 11
% 0.30/0.26 % ...remaining for further processing : 23
% 0.30/0.26 % Other redundant clauses eliminated : 2
% 0.30/0.26 % Clauses deleted for lack of memory : 0
% 0.30/0.26 % Backward-subsumed : 0
% 0.30/0.26 % Backward-rewritten : 3
% 0.30/0.26 % Generated clauses : 28
% 0.30/0.26 % ...of the previous two non-redundant : 24
% 0.30/0.26 % ...aggressively subsumed : 0
% 0.30/0.26 % Contextual simplify-reflections : 0
% 0.30/0.26 % Paramodulations : 26
% 0.30/0.26 % Factorizations : 0
% 0.30/0.26 % NegExts : 0
% 0.30/0.26 % Equation resolutions : 2
% 0.30/0.26 % Disequality decompositions : 0
% 0.30/0.26 % Total rewrite steps : 6
% 0.30/0.26 % ...of those cached : 1
% 0.30/0.26 % Propositional unsat checks : 0
% 0.30/0.26 % Propositional check models : 0
% 0.30/0.26 % Propositional check unsatisfiable : 0
% 0.30/0.26 % Propositional clauses : 0
% 0.30/0.26 % Propositional clauses after purity: 0
% 0.30/0.26 % Propositional unsat core size : 0
% 0.30/0.26 % Propositional preprocessing time : 0.000
% 0.30/0.26 % Propositional encoding time : 0.000
% 0.30/0.26 % Propositional solver time : 0.000
% 0.30/0.26 % Success case prop preproc time : 0.000
% 0.30/0.26 % Success case prop encoding time : 0.000
% 0.30/0.26 % Success case prop solver time : 0.000
% 0.30/0.26 % Current number of processed clauses : 18
% 0.30/0.26 % Positive orientable unit clauses : 7
% 0.30/0.26 % Positive unorientable unit clauses: 0
% 0.30/0.26 % Negative unit clauses : 1
% 0.30/0.26 % Non-unit-clauses : 10
% 0.30/0.26 % Current number of unprocessed clauses: 67
% 0.30/0.26 % ...number of literals in the above : 225
% 0.30/0.26 % Current number of archived formulas : 0
% 0.30/0.26 % Current number of archived clauses : 3
% 0.30/0.26 % Clause-clause subsumption calls (NU) : 24
% 0.30/0.26 % Rec. Clause-clause subsumption calls : 23
% 0.30/0.26 % Non-unit clause-clause subsumptions : 4
% 0.30/0.26 % Unit Clause-clause subsumption calls : 4
% 0.30/0.26 % Rewrite failures with RHS unbound : 0
% 0.30/0.26 % BW rewrite match attempts : 3
% 0.30/0.26 % BW rewrite match successes : 3
% 0.30/0.26 % Condensation attempts : 0
% 0.30/0.26 % Condensation successes : 0
% 0.30/0.26 % Termbank termtop insertions : 10229
% 0.30/0.26 % Search garbage collected termcells : 3916
% 0.30/0.26
% 0.30/0.26 % -------------------------------------------------
% 0.30/0.26 % User time : 0.008 s
% 0.30/0.26 % System time : 0.004 s
% 0.30/0.26 % Total time : 0.013 s
% 0.30/0.26 % Maximum resident set size: 4488 pages
% 0.30/0.26
% 0.30/0.26 % -------------------------------------------------
% 0.30/0.26 % User time : 0.012 s
% 0.30/0.26 % System time : 0.008 s
% 0.30/0.26 % Total time : 0.021 s
% 0.30/0.26 % Maximum resident set size: 4864 pages
% 0.30/0.26 % E exiting
%------------------------------------------------------------------------------