%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU519^1 : 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 : n001.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 08:24:21 AM UTC 2026
% Result : Theorem 0.10s 0.24s
% Output : CNFRefutation 0.10s
% 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.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n001.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:53:35 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.21 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.k3Z24DPpk4/E---3.1_1271195.p
% 0.10/0.24 % Version: 3.5.1-ho
% 0.10/0.24 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting sh5l with 300s (1) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % Starting new_bool_2 with 300s (1) cores
% 0.10/0.24 % new_bool_1 with pid 1271210 completed with status 0
% 0.10/0.24 % Result found by new_bool_1
% 0.10/0.24 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting sh5l with 300s (1) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.24 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.24 % Search class: HGHSS-FFMS31-SHFSMSBN
% 0.10/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.24 % SubtermCWHack with pid 1271212 completed with status 0
% 0.10/0.24 % Result found by SubtermCWHack
% 0.10/0.24 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting sh5l with 300s (1) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.24 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.24 % Search class: HGHSS-FFMS31-SHFSMSBN
% 0.10/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.24 % Preprocessing time : 0.003 s
% 0.10/0.24
% 0.10/0.24 % Proof found!
% 0.10/0.24 % SZS status Theorem
% 0.10/0.24 % SZS output start CNFRefutation
% 0.10/0.24 thf(decl_23, type, in: $i > $i > $o).
% 0.10/0.24 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.10/0.24 thf(decl_25, type, setextAx: $o).
% 0.10/0.24 thf(decl_26, type, emptyset: $i).
% 0.10/0.24 thf(decl_27, type, emptysetAx: $o).
% 0.10/0.24 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.10/0.24 thf(decl_29, type, setadjoinAx: $o).
% 0.10/0.24 thf(decl_30, type, powerset: $i > $i).
% 0.10/0.24 thf(decl_31, type, powersetAx: $o).
% 0.10/0.24 thf(decl_33, type, setunionAx: $o).
% 0.10/0.24 thf(decl_34, type, omega: $i).
% 0.10/0.24 thf(decl_35, type, omega0Ax: $o).
% 0.10/0.24 thf(decl_36, type, omegaSAx: $o).
% 0.10/0.24 thf(decl_37, type, omegaIndAx: $o).
% 0.10/0.24 thf(decl_38, type, replAx: $o).
% 0.10/0.24 thf(decl_39, type, foundationAx: $o).
% 0.10/0.24 thf(decl_40, type, wellorderingAx: $o).
% 0.10/0.24 thf(decl_42, type, descrp: $o).
% 0.10/0.24 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.10/0.24 thf(decl_44, type, dsetconstrI: $o).
% 0.10/0.24 thf(decl_45, type, dsetconstrEL: $o).
% 0.10/0.24 thf(decl_46, type, dsetconstrER: $o).
% 0.10/0.24 thf(decl_47, type, exuE1: $o).
% 0.10/0.24 thf(decl_48, type, prop2set: $o > $i).
% 0.10/0.24 thf(decl_49, type, prop2setE: $o).
% 0.10/0.24 thf(decl_50, type, emptysetE: $o).
% 0.10/0.24 thf(decl_51, type, emptysetimpfalse: $o).
% 0.10/0.24 thf(decl_52, type, notinemptyset: $o).
% 0.10/0.24 thf(decl_53, type, exuE3e: $o).
% 0.10/0.24 thf(decl_54, type, setext: $o).
% 0.10/0.24 thf(decl_55, type, emptyI: $o).
% 0.10/0.24 thf(decl_56, type, noeltsimpempty: $o).
% 0.10/0.24 thf(decl_57, type, setbeta: $o).
% 0.10/0.24 thf(decl_58, type, nonempty: $i > $o).
% 0.10/0.24 thf(decl_59, type, nonemptyE1: $o).
% 0.10/0.24 thf(decl_60, type, nonemptyI: $o).
% 0.10/0.24 thf(decl_61, type, nonemptyI1: $o).
% 0.10/0.24 thf(decl_62, type, setadjoinIL: $o).
% 0.10/0.24 thf(decl_63, type, emptyinunitempty: $o).
% 0.10/0.24 thf(decl_64, type, setadjoinIR: $o).
% 0.10/0.24 thf(decl_65, type, setadjoinE: $o).
% 0.10/0.24 thf(decl_66, type, setadjoinOr: $o).
% 0.10/0.24 thf(decl_67, type, setoftrueEq: $o).
% 0.10/0.24 thf(decl_68, type, powersetI: $o).
% 0.10/0.24 thf(decl_69, type, epred1_0: $o).
% 0.10/0.24 thf(decl_70, type, esk1_2: $i > $i > $i).
% 0.10/0.24 thf(decl_71, type, esk2_2: $i > $i > $i).
% 0.10/0.24 thf(decl_72, type, esk3_1: $i > $i).
% 0.10/0.24 thf(decl_73, type, esk4_2: ($i > $i > $o) > $i > $i).
% 0.10/0.24 thf(decl_74, type, esk5_3: ($i > $i > $o) > $i > $i > $i).
% 0.10/0.24 thf(decl_75, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.10/0.24 thf(decl_76, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.10/0.24 thf(decl_77, type, esk8_1: $i > $i).
% 0.10/0.24 thf(decl_78, type, esk9_2: ($i > $o) > $i > $i).
% 0.10/0.24 thf(decl_79, type, esk10_1: ($i > $o) > $i).
% 0.10/0.24 thf(decl_80, type, esk11_2: ($i > $o) > $i > $i).
% 0.10/0.24 thf(decl_81, type, esk12_1: ($i > $o) > $i).
% 0.10/0.24 thf(decl_82, type, esk13_2: $i > $i > $i).
% 0.10/0.24 thf(decl_83, type, esk14_2: $i > $i > $i).
% 0.10/0.24 thf(decl_84, type, esk15_1: $i > $i).
% 0.10/0.24 thf(decl_85, type, esk16_1: $i > $i).
% 0.10/0.24 thf(decl_86, type, esk17_1: $i > $i).
% 0.10/0.24 thf(decl_87, type, esk18_2: $i > $i > $i).
% 0.10/0.24 thf(decl_88, type, esk19_0: $i).
% 0.10/0.24 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', nonempty)).
% 0.10/0.24 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', nonemptyI)).
% 0.10/0.24 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', replAx)).
% 0.10/0.24 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', exu)).
% 0.10/0.24 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', prop2set)).
% 0.10/0.24 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', exuE1)).
% 0.10/0.24 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', exuE3e)).
% 0.10/0.24 thf(emptyinPowerset, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptyinPowerset)).
% 0.10/0.24 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setbeta)).
% 0.10/0.24 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', nonemptyE1)).
% 0.10/0.24 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', nonemptyI1)).
% 0.10/0.24 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setoftrueEq)).
% 0.10/0.24 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', prop2setE)).
% 0.10/0.24 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', dsetconstrER)).
% 0.10/0.24 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', dsetconstrEL)).
% 0.10/0.24 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', dsetconstrI)).
% 0.10/0.24 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', noeltsimpempty)).
% 0.10/0.24 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setadjoinIL)).
% 0.10/0.24 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptyinunitempty)).
% 0.10/0.24 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setadjoinIR)).
% 0.10/0.24 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.k3Z24DPpk4/E---3.1_1271195.p', setadjoinE)).
% 0.10/0.24 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setadjoinOr)).
% 0.10/0.24 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', powersetI)).
% 0.10/0.24 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setextAx)).
% 0.10/0.24 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.k3Z24DPpk4/E---3.1_1271195.p', omegaIndAx)).
% 0.10/0.24 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', omegaSAx)).
% 0.10/0.24 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', omega0Ax)).
% 0.10/0.24 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', powersetAx)).
% 0.10/0.24 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', setadjoinAx)).
% 0.10/0.24 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptysetAx)).
% 0.10/0.24 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.k3Z24DPpk4/E---3.1_1271195.p', foundationAx)).
% 0.10/0.24 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptysetE)).
% 0.10/0.24 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', wellorderingAx)).
% 0.10/0.24 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', notinemptyset)).
% 0.10/0.24 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.k3Z24DPpk4/E---3.1_1271195.p', setext)).
% 0.10/0.24 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptyI)).
% 0.10/0.24 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.k3Z24DPpk4/E---3.1_1271195.p', emptysetimpfalse)).
% 0.10/0.24 thf(c_0_37, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.10/0.24 thf(c_0_38, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.10/0.24 thf(c_0_39, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.10/0.24 thf(c_0_40, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.10/0.24 thf(c_0_41, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.10/0.24 thf(c_0_42, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.10/0.24 thf(c_0_43, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.10/0.24 thf(c_0_44, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[emptyinPowerset])).
% 0.10/0.24 thf(c_0_45, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.10/0.24 thf(c_0_46, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_37])).
% 0.10/0.24 thf(c_0_47, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_38, c_0_37])).
% 0.10/0.24 thf(c_0_48, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_37])).
% 0.10/0.24 thf(c_0_49, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.10/0.24 thf(c_0_50, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X112:$i]:(((((X6 @ X2 @ X112)))&(![X113:$i]:(((((X6 @ X2 @ X113)))=>(((X112)=(X113)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_39, c_0_40])).
% 0.10/0.24 thf(c_0_51, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_41])).
% 0.10/0.24 thf(c_0_52, plain, ((exuE1)=(![X1:$i > $o]:((((?[X114:$i]:(((((X1 @ X114)))&(![X115:$i]:(((((X1 @ X115)))=>(((X114)=(X115))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_42, c_0_40])).
% 0.10/0.24 thf(c_0_53, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.10/0.24 thf(c_0_54, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.10/0.24 thf(c_0_55, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.10/0.24 thf(c_0_56, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X116:$i]:(((((X1 @ X116)))&(![X117:$i]:(((((X1 @ X117)))=>(((X116)=(X117))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_43, c_0_40])).
% 0.10/0.24 thf(c_0_57, plain, ((epred1_0)<=>![X144:$i]:(?[X145:$i]:((((![X146:$i]:(((in @ X146 @ X145)=>![X147:$i]:(((in @ X147 @ X146)=>(in @ X147 @ X144)))))&![X148:$i, X149:$i]:((((in @ X148 @ X144)&(in @ X149 @ X144))=>(![X150:$i]:(((in @ X150 @ X145)=>((in @ X148 @ X150)<=>(in @ X149 @ X150))))=>((X148)=(X149))))))&![X151:$i, X152:$i]:((((in @ X151 @ X145)&(in @ X152 @ X145))=>(![X153:$i]:(((in @ X153 @ X151)=>(in @ X153 @ X152)))|![X154:$i]:(((in @ X154 @ X152)=>(in @ X154 @ X151)))))))&![X155:$i]:(((![X156:$i]:(((in @ X156 @ X155)=>(in @ X156 @ X144)))&?[X157:$i]:((in @ X157 @ X155)))=>?[X158:$i, X159:$i]:(((((in @ X158 @ X145)&(in @ X159 @ X155))&~(?[X160:$i]:(((in @ X160 @ X158)&(in @ X160 @ X155)))))&![X161:$i]:(((in @ X161 @ X145)=>(![X162:$i]:(((in @ X162 @ X161)=>(in @ X162 @ X158)))|(in @ X159 @ X161)))))))))))), introduced(definition)).
% 0.10/0.24 thf(c_0_58, negated_conjecture, ~((![X118:$i, X119:$i]:((![X120:$i]:(((in @ X120 @ X118)<=>(in @ X120 @ X119)))=>((X118)=(X119))))=>(![X121:$i]:(~(in @ X121 @ emptyset))=>(![X122:$i, X123:$i, X124:$i]:(((in @ X124 @ (setadjoin @ X122 @ X123))<=>(((X124)=(X122))|(in @ X124 @ X123))))=>(![X125:$i, X126:$i]:(((in @ X126 @ (powerset @ X125))<=>![X127:$i]:(((in @ X127 @ X126)=>(in @ X127 @ X125)))))=>((setunionAx)=>((in @ emptyset @ omega)=>(![X128:$i]:(((in @ X128 @ omega)=>(in @ (setadjoin @ X128 @ X128) @ omega)))=>(![X129:$i]:((((in @ emptyset @ X129)&![X130:$i]:((((in @ X130 @ omega)&(in @ X130 @ X129))=>(in @ (setadjoin @ X130 @ X130) @ X129))))=>![X131:$i]:(((in @ X131 @ omega)=>(in @ X131 @ X129)))))=>(![X132:$i > $i > $o, X133:$i]:((![X134:$i]:(((in @ X134 @ X133)=>?[X135:$i]:(((X132 @ X134 @ X135)&![X136:$i]:(((X132 @ X134 @ X136)=>((X135)=(X136))))))))=>?[X137:$i]:(![X138:$i]:(((in @ X138 @ X137)<=>?[X139:$i]:(((in @ X139 @ X133)&(X132 @ X139 @ X138))))))))=>(![X140:$i]:((?[X141:$i]:((in @ X141 @ X140))=>?[X142:$i]:(((in @ X142 @ X140)&~(?[X143:$i]:(((in @ X143 @ X142)&(in @ X143 @ X140))))))))=>((epred1_0)=>((descrp)=>(![X163:$i, X164:$i > $o, X165:$i]:(((in @ X165 @ X163)=>((X164 @ X165)=>(in @ X165 @ (dsetconstr @ X163 @ X164)))))=>(![X166:$i, X167:$i > $o, X168:$i]:(((in @ X168 @ (dsetconstr @ X166 @ X167))=>(in @ X168 @ X166)))=>(![X169:$i, X170:$i > $o, X171:$i]:(((in @ X171 @ (dsetconstr @ X169 @ X170))=>(X170 @ X171)))=>(![X172:$i > $o]:((?[X173:$i]:(((X172 @ X173)&![X174:$i]:(((X172 @ X174)=>((X173)=(X174))))))=>?[X175:$i]:(((X172 @ X175)&![X176:$i]:(((X172 @ X176)=>((X175)=(X176))))))))=>(![X177:$o, X178:$i]:(((in @ X178 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X177)))))=>(X177)))=>(![X179:$i]:(((in @ X179 @ emptyset)=>![X180:$o]:((X180))))=>(![X181:$i]:(((in @ X181 @ emptyset)=>~($true)))=>(![X182:$i]:(~(in @ X182 @ emptyset))=>(![X183:$i > $o]:((?[X184:$i]:(((X183 @ X184)&![X185:$i]:(((X183 @ X185)=>((X184)=(X185))))))=>?[X186:$i]:((X183 @ X186))))=>(![X187:$i, X188:$i]:((![X189:$i]:(((in @ X189 @ X187)=>(in @ X189 @ X188)))=>(![X190:$i]:(((in @ X190 @ X188)=>(in @ X190 @ X187)))=>((X187)=(X188)))))=>(![X191:$i]:((![X192:$i]:(~(in @ X192 @ X191))=>((X191)=(emptyset))))=>(![X193:$i]:((![X194:$i]:(~(in @ X194 @ X193))=>((X193)=(emptyset))))=>(![X195:$i, X196:$i > $o, X197:$i]:(((in @ X197 @ X195)=>((in @ X197 @ (dsetconstr @ X195 @ X196))<=>(X196 @ X197))))=>(![X198:$i]:((((X198)!=(emptyset))=>?[X199:$i]:((in @ X199 @ X198))))=>(![X200:$i, X201:$i > $o, X202:$i]:(((in @ X202 @ X200)=>((X201 @ X202)=>((dsetconstr @ X200 @ X201)!=(emptyset)))))=>(![X203:$i]:((?[X204:$i]:((in @ X204 @ X203))=>((X203)!=(emptyset))))=>(![X205:$i, X206:$i]:((in @ X205 @ (setadjoin @ X205 @ X206)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X207:$i, X208:$i, X209:$i]:(((in @ X209 @ X208)=>(in @ X209 @ (setadjoin @ X207 @ X208))))=>(![X210:$i, X211:$i, X212:$i]:(((in @ X212 @ (setadjoin @ X210 @ X211))=>![X213:$o]:(((((X212)=(X210))=>(X213))=>(((in @ X212 @ X211)=>(X213))=>(X213))))))=>(![X214:$i, X215:$i, X216:$i]:(((in @ X216 @ (setadjoin @ X214 @ X215))=>(((X216)=(X214))|(in @ X216 @ X215))))=>(![X217:$i]:(((dsetconstr @ X217 @ (^[Z0:$i]:($true)))=(X217)))=>(![X218:$i, X219:$i]:((![X220:$i]:(((in @ X220 @ X219)=>(in @ X220 @ X218)))=>(in @ X219 @ (powerset @ X218))))=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_44, noeltsimpempty]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_49]), powersetI]), setextAx]), c_0_50]), omegaIndAx]), omegaSAx]), omega0Ax]), powersetAx]), setadjoinAx]), emptysetAx]), foundationAx]), emptysetE]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), wellorderingAx]), notinemptyset]), c_0_56]), setext]), emptyI]), emptysetimpfalse])])]), c_0_57])).
% 0.10/0.24 thf(c_0_59, negated_conjecture, ![X221:$i, X222:$i, X224:$i, X225:$i, X226:$i, X227:$i, X228:$i, X229:$i, X230:$i, X231:$i, X232:$i, X234:$i, X235:$i, X237:$i, X238:$i > $i > $o, X239:$i, X241:$i, X244:$i, X246:$i, X247:$i, X248:$i, X249:$i, X251:$i, X252:$i, X253:$i > $o, X254:$i, X255:$i, X256:$i > $o, X257:$i, X258:$i, X259:$i > $o, X260:$i, X261:$i > $o, X262:$i, X265:$i, X266:$o, X267:$i, X268:$i, X269:$o, X270:$i, X271:$i, X272:$i > $o, X273:$i, X276:$i, X277:$i, X280:$i, X282:$i, X284:$i, X285:$i > $o, X286:$i, X287:$i, X289:$i, X290:$i > $o, X291:$i, X292:$i, X293:$i, X294:$i, X295:$i, X296:$i, X297:$i, X298:$i, X299:$i, X300:$i, X301:$i, X302:$o, X303:$i, X304:$i, X305:$i, X306:$i, X307:$i, X308:$i]:((((~(in @ (esk1_2 @ X221 @ X222) @ X221)|~(in @ (esk1_2 @ X221 @ X222) @ X222)|((X221)=(X222)))&((in @ (esk1_2 @ X221 @ X222) @ X221)|(in @ (esk1_2 @ X221 @ X222) @ X222)|((X221)=(X222))))&(~(in @ X224 @ emptyset)&(((~(in @ X227 @ (setadjoin @ X225 @ X226))|(((X227)=(X225))|(in @ X227 @ X226)))&((((X227)!=(X225))|(in @ X227 @ (setadjoin @ X225 @ X226)))&(~(in @ X227 @ X226)|(in @ X227 @ (setadjoin @ X225 @ X226)))))&(((~(in @ X229 @ (powerset @ X228))|(~(in @ X230 @ X229)|(in @ X230 @ X228)))&(((in @ (esk2_2 @ X231 @ X232) @ X232)|(in @ X232 @ (powerset @ X231)))&(~(in @ (esk2_2 @ X231 @ X232) @ X231)|(in @ X232 @ (powerset @ X231)))))&((setunionAx)&((in @ emptyset @ omega)&((~(in @ X234 @ omega)|(in @ (setadjoin @ X234 @ X234) @ omega))&(((((in @ (esk3_1 @ X235) @ omega)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235)))&((in @ (esk3_1 @ X235) @ X235)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235))))&(~(in @ (setadjoin @ (esk3_1 @ X235) @ (esk3_1 @ X235)) @ X235)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235))))&((((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239)))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239)))&(((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241)))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241)))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))))&((((in @ (esk8_1 @ X248) @ X248)|~(in @ X249 @ X248))&(~(in @ X251 @ (esk8_1 @ X248))|~(in @ X251 @ X248)|~(in @ X249 @ X248)))&((epred1_0)&((descrp)&((~(in @ X254 @ X252)|(~(X253 @ X254)|(in @ X254 @ (dsetconstr @ X252 @ X253))))&((~(in @ X257 @ (dsetconstr @ X255 @ X256))|(in @ X257 @ X255))&((~(in @ X260 @ (dsetconstr @ X258 @ X259))|(X259 @ X260))&(((((X261 @ (esk10_1 @ X261))|((X261 @ (esk9_2 @ X261 @ X262))|~(X261 @ X262)))&(~(X261 @ X265)|((esk10_1 @ X261)=(X265))|((X261 @ (esk9_2 @ X261 @ X262))|~(X261 @ X262))))&(((X261 @ (esk10_1 @ X261))|(((X262)!=(esk9_2 @ X261 @ X262))|~(X261 @ X262)))&(~(X261 @ X265)|((esk10_1 @ X261)=(X265))|(((X262)!=(esk9_2 @ X261 @ X262))|~(X261 @ X262)))))&((~(in @ X267 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X266)))))|(X266))&((~(in @ X268 @ emptyset)|(X269))&((~(in @ X270 @ emptyset)|~($true))&(~(in @ X271 @ emptyset)&((((X272 @ (esk11_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (esk12_1 @ X272)))&(((X273)!=(esk11_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (esk12_1 @ X272))))&(((((in @ (esk14_2 @ X276 @ X277) @ X277)|((X276)=(X277))|(in @ (esk13_2 @ X276 @ X277) @ X276))&(~(in @ (esk14_2 @ X276 @ X277) @ X276)|((X276)=(X277))|(in @ (esk13_2 @ X276 @ X277) @ X276)))&(((in @ (esk14_2 @ X276 @ X277) @ X277)|((X276)=(X277))|~(in @ (esk13_2 @ X276 @ X277) @ X277))&(~(in @ (esk14_2 @ X276 @ X277) @ X276)|((X276)=(X277))|~(in @ (esk13_2 @ X276 @ X277) @ X277))))&(((in @ (esk15_1 @ X280) @ X280)|((X280)=(emptyset)))&(((in @ (esk16_1 @ X282) @ X282)|((X282)=(emptyset)))&(((~(in @ X286 @ (dsetconstr @ X284 @ X285))|(X285 @ X286)|~(in @ X286 @ X284))&(~(X285 @ X286)|(in @ X286 @ (dsetconstr @ X284 @ X285))|~(in @ X286 @ X284)))&((((X287)=(emptyset))|(in @ (esk17_1 @ X287) @ X287))&((~(in @ X291 @ X289)|(~(X290 @ X291)|((dsetconstr @ X289 @ X290)!=(emptyset))))&((~(in @ X293 @ X292)|((X292)!=(emptyset)))&((in @ X294 @ (setadjoin @ X294 @ X295))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X298 @ X297)|(in @ X298 @ (setadjoin @ X296 @ X297)))&(((((in @ X301 @ X300)|(X302)|((X301)=(X299))|~(in @ X301 @ (setadjoin @ X299 @ X300)))&(~(X302)|(X302)|((X301)=(X299))|~(in @ X301 @ (setadjoin @ X299 @ X300))))&(((in @ X301 @ X300)|(X302)|~(X302)|~(in @ X301 @ (setadjoin @ X299 @ X300)))&(~(X302)|(X302)|~(X302)|~(in @ X301 @ (setadjoin @ X299 @ X300)))))&((~(in @ X305 @ (setadjoin @ X303 @ X304))|(((X305)=(X303))|(in @ X305 @ X304)))&(((dsetconstr @ X306 @ (^[Z0:$i]:($true)))=(X306))&((((in @ (esk18_2 @ X307 @ X308) @ X308)|(in @ X308 @ (powerset @ X307)))&(~(in @ (esk18_2 @ X307 @ X308) @ X307)|(in @ X308 @ (powerset @ X307))))&~(in @ emptyset @ (powerset @ esk19_0)))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])])])])).
% 0.10/0.24 thf(c_0_60, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_59])).
% 0.10/0.24 thf(c_0_61, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk2_2 @ X2 @ X3) @ X3)|(in @ X3 @ (powerset @ X2)))), inference(split_conjunct,[status(thm)],[c_0_59])).
% 0.10/0.24 thf(c_0_62, negated_conjecture, ~((in @ emptyset @ (powerset @ esk19_0))), inference(split_conjunct,[status(thm)],[c_0_59])).
% 0.10/0.24 thf(c_0_63, negated_conjecture, ![X2:$i]:((in @ emptyset @ (powerset @ X2))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 0.10/0.24 thf(c_0_64, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])]), ['proof']).
% 0.10/0.24 % SZS output end CNFRefutation
% 0.10/0.24 % Parsed axioms : 85
% 0.10/0.24 % Removed by relevancy pruning/SinE : 48
% 0.10/0.24 % Initial clauses : 77
% 0.10/0.24 % Removed in clause preprocessing : 3
% 0.10/0.24 % Initial clauses in saturation : 74
% 0.10/0.24 % Processed clauses : 34
% 0.10/0.24 % ...of these trivial : 0
% 0.10/0.24 % ...subsumed : 10
% 0.10/0.24 % ...remaining for further processing : 24
% 0.10/0.24 % Other redundant clauses eliminated : 2
% 0.10/0.24 % Clauses deleted for lack of memory : 0
% 0.10/0.24 % Backward-subsumed : 0
% 0.10/0.24 % Backward-rewritten : 3
% 0.10/0.24 % Generated clauses : 21
% 0.10/0.24 % ...of the previous two non-redundant : 18
% 0.10/0.24 % ...aggressively subsumed : 0
% 0.10/0.24 % Contextual simplify-reflections : 0
% 0.10/0.24 % Paramodulations : 19
% 0.10/0.24 % Factorizations : 0
% 0.10/0.24 % NegExts : 0
% 0.10/0.24 % Equation resolutions : 2
% 0.10/0.24 % Disequality decompositions : 0
% 0.10/0.24 % Total rewrite steps : 6
% 0.10/0.24 % ...of those cached : 1
% 0.10/0.24 % Propositional unsat checks : 0
% 0.10/0.24 % Propositional check models : 0
% 0.10/0.24 % Propositional check unsatisfiable : 0
% 0.10/0.24 % Propositional clauses : 0
% 0.10/0.24 % Propositional clauses after purity: 0
% 0.10/0.24 % Propositional unsat core size : 0
% 0.10/0.24 % Propositional preprocessing time : 0.000
% 0.10/0.24 % Propositional encoding time : 0.000
% 0.10/0.24 % Propositional solver time : 0.000
% 0.10/0.24 % Success case prop preproc time : 0.000
% 0.10/0.24 % Success case prop encoding time : 0.000
% 0.10/0.24 % Success case prop solver time : 0.000
% 0.10/0.24 % Current number of processed clauses : 19
% 0.10/0.24 % Positive orientable unit clauses : 9
% 0.10/0.24 % Positive unorientable unit clauses: 0
% 0.10/0.24 % Negative unit clauses : 1
% 0.10/0.24 % Non-unit-clauses : 9
% 0.10/0.24 % Current number of unprocessed clauses: 58
% 0.10/0.24 % ...number of literals in the above : 204
% 0.10/0.24 % Current number of archived formulas : 0
% 0.10/0.24 % Current number of archived clauses : 3
% 0.10/0.24 % Clause-clause subsumption calls (NU) : 24
% 0.10/0.24 % Rec. Clause-clause subsumption calls : 23
% 0.10/0.24 % Non-unit clause-clause subsumptions : 4
% 0.10/0.24 % Unit Clause-clause subsumption calls : 10
% 0.10/0.24 % Rewrite failures with RHS unbound : 0
% 0.10/0.24 % BW rewrite match attempts : 3
% 0.10/0.24 % BW rewrite match successes : 3
% 0.10/0.24 % Condensation attempts : 0
% 0.10/0.24 % Condensation successes : 0
% 0.10/0.24 % Termbank termtop insertions : 9567
% 0.10/0.24 % Search garbage collected termcells : 3656
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.011 s
% 0.10/0.24 % System time : 0.002 s
% 0.10/0.24 % Total time : 0.012 s
% 0.10/0.24 % Maximum resident set size: 4488 pages
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.015 s
% 0.10/0.24 % System time : 0.006 s
% 0.10/0.24 % Total time : 0.020 s
% 0.10/0.24 % Maximum resident set size: 4864 pages
% 0.10/0.24 % E exiting
%------------------------------------------------------------------------------