0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.09/0.29	% Computer   : n025.cluster.edu
0.09/0.29	% Model      : x86_64 x86_64
0.09/0.29	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory     : 8042.1875MB
0.09/0.29	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1200
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Tue Jul 13 12:16:57 EDT 2021
0.09/0.30	% CPUTime    : 
0.09/0.30	% Number of cores: 8
0.09/0.30	% Python version: Python 3.6.8
0.09/0.30	# Version: 2.6rc1-ho
0.09/0.30	# No SInE strategy applied
0.09/0.30	# Trying AutoSched0 for 59 seconds
0.15/0.35	# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S049N
0.15/0.35	# and selection function PSelectComplexPreferEQ.
0.15/0.35	#
0.15/0.35	# Preprocessing time       : 0.033 s
0.15/0.35	# Presaturation interreduction done
0.15/0.35	
0.15/0.35	# Proof found!
0.15/0.35	# SZS status Theorem
0.15/0.35	# SZS output start CNFRefutation
0.15/0.35	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:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)).
0.15/0.35	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)).
0.15/0.35	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)).
0.15/0.35	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)).
0.15/0.35	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)).
0.15/0.35	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)).
0.15/0.35	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)).
0.15/0.35	thf(nonemptyI, conjecture, (setextAx=>((((((omegaSAx=>(omegaIndAx=>((foundationAx=>(wellorderingAx=>(descrp=>((dsetconstrEL=>(((prop2setE=>(emptysetE=>(emptysetimpfalse=>(notinemptyset=>((setext=>((noeltsimpempty=>((nonemptyE1=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=X1 @ X2)))<=setbeta))<=emptyI))<=exuE3e)))))<=exuE1)<=dsetconstrER))<=dsetconstrI))))<=replAx)))<=omega0Ax)<=setunionAx)<=powersetAx)<=setadjoinAx)<=emptysetAx)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)).
0.15/0.35	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)).
0.15/0.35	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)).
0.15/0.35	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)).
0.15/0.35	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)).
0.15/0.35	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)).
0.15/0.35	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)).
0.15/0.35	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)).
0.15/0.35	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$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/benchmark/theBenchmark.p', omegaIndAx)).
0.15/0.35	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/benchmark/theBenchmark.p', foundationAx)).
0.15/0.35	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:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)).
0.15/0.35	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)).
0.15/0.35	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)).
0.15/0.35	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)).
0.15/0.35	thf(prop2setE, axiom, (prop2setE<=>![X11:$o, X2:$i]:(in @ X2 @ (prop2set @ (X11))=>X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)).
0.15/0.35	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X12:$o]:X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)).
0.15/0.35	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)).
0.15/0.35	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)).
0.15/0.35	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/benchmark/theBenchmark.p', setext)).
0.15/0.35	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)).
0.15/0.35	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)).
0.15/0.35	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)).
0.15/0.35	thf(c_0_29, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X96:$i]:(X6 @ X2 @ X96&![X98:$i]:(X6 @ X2 @ X98=>(X96)=(X98))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
0.15/0.35	thf(c_0_30, axiom, (descrp)=(![X1:$i > $o]:(?[X99:$i]:(X1 @ X99&![X100:$i]:(X1 @ X100=>(X99)=(X100)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
0.15/0.35	thf(c_0_31, axiom, (exuE1)=(![X1:$i > $o]:(?[X101:$i]:(X1 @ X101&![X102:$i]:(X1 @ X102=>(X101)=(X102)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
0.15/0.35	thf(c_0_32, axiom, (exuE3e)=(![X1:$i > $o]:(?[X103:$i]:(X1 @ X103&![X104:$i]:(X1 @ X104=>(X103)=(X104)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
0.15/0.35	thf(c_0_33, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
0.15/0.35	thf(c_0_34, plain, ![X2:$i, X1:$i > $o]:(epred2_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)).
0.15/0.35	thf(c_0_35, plain, (epred3_0<=>![X4:$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)))))), introduced(definition)).
0.15/0.35	thf(c_0_36, negated_conjecture, ~((![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))=>(![X2:$i]:~in @ X2 @ emptyset=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))=>(![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))=>(in @ emptyset @ omega=>(![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)=>(![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))=>(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X96:$i]:(X6 @ X2 @ X96&![X98:$i]:(X6 @ X2 @ X98=>(X96)=(X98))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))=>(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))=>(epred3_0=>(![X1:$i > $o]:(?[X99:$i]:(X1 @ X99&![X100:$i]:(X1 @ X100=>(X99)=(X100)))=>X1 @ (descr @ (epred2_2 @ X1)))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))=>in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))=>X1 @ X2)=>(![X1:$i > $o]:(?[X101:$i]:(X1 @ X101&![X102:$i]:(X1 @ X102=>(X101)=(X102)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))=>(![X11:$o, X2:$i]:(((~X11|in @ X2 @ (prop2set @ $true))&(X11|in @ X2 @ (prop2set @ $false)))=>X11)=>(![X2:$i]:(in @ X2 @ emptyset=>![X12:$o]:X12)=>(![X2:$i]:~in @ X2 @ emptyset=>(![X2:$i]:~in @ X2 @ emptyset=>(![X1:$i > $o]:(?[X103:$i]:(X1 @ X103&![X104:$i]:(X1 @ X104=>(X103)=(X104)))=>?[X2:$i]:X1 @ X2)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))<=>X1 @ X2))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (epred2_2 @ X1))!=(emptyset)))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[nonemptyI]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_29]), foundationAx]), wellorderingAx]), c_0_30]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_31]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_32]), setext]), emptyI]), noeltsimpempty]), setbeta]), nonempty]), c_0_33]), c_0_34]), c_0_34]), c_0_34]), c_0_34]), c_0_34]), c_0_34])])]), c_0_35])).
0.15/0.35	thf(c_0_37, negated_conjecture, ![X107:$i, X108:$i, X110:$i, X111:$i, X112:$i, X113:$i, X114:$i, X115:$i, X116:$i, X117:$i, X118:$i, X120:$i, X121:$i, X123:$i, X124:$i, X125:$i, X126:$i, X127:$i, X129:$i, X130:$i > $i > $o, X131:$i, X133:$i, X136:$i, X138:$i, X139:$i, X140:$i, X141:$i, X143:$i, X144:$i > $o, X145:$i, X147:$i, X148:$i > $o, X149:$i, X150:$i, X151:$i > $o, X152:$i, X153:$i, X154:$i > $o, X155:$i, X156:$i > $o, X157:$i, X160:$i, X161:$o, X162:$i, X163:$i, X164:$o, X165:$i, X166:$i, X167:$i > $o, X168:$i, X171:$i, X172:$i, X175:$i, X177:$i, X179:$i, X180:$i > $o, X181:$i, X182:$i]:(((~in @ (esk1_2 @ X107 @ X108) @ X107|~in @ (esk1_2 @ X107 @ X108) @ X108|(X107)=(X108))&(in @ (esk1_2 @ X107 @ X108) @ X107|in @ (esk1_2 @ X107 @ X108) @ X108|(X107)=(X108)))&(~in @ X110 @ emptyset&(((~in @ X113 @ (setadjoin @ X111 @ X112)|((X113)=(X111)|in @ X113 @ X112))&(((X113)!=(X111)|in @ X113 @ (setadjoin @ X111 @ X112))&(~in @ X113 @ X112|in @ X113 @ (setadjoin @ X111 @ X112))))&(((~in @ X115 @ (powerset @ X114)|(~in @ X116 @ X115|in @ X116 @ X114))&((in @ (esk2_2 @ X117 @ X118) @ X118|in @ X118 @ (powerset @ X117))&(~in @ (esk2_2 @ X117 @ X118) @ X117|in @ X118 @ (powerset @ X117))))&((((in @ X121 @ (esk3_2 @ X120 @ X121)|~in @ X121 @ (setunion @ X120))&(in @ (esk3_2 @ X120 @ X121) @ X120|~in @ X121 @ (setunion @ X120)))&(~in @ X124 @ X125|~in @ X125 @ X123|in @ X124 @ (setunion @ X123)))&(in @ emptyset @ omega&((~in @ X126 @ omega|in @ (setadjoin @ X126 @ X126) @ omega)&((((in @ (esk4_1 @ X127) @ omega|~in @ emptyset @ X127|(~in @ X129 @ omega|in @ X129 @ X127))&(in @ (esk4_1 @ X127) @ X127|~in @ emptyset @ X127|(~in @ X129 @ omega|in @ X129 @ X127)))&(~in @ (setadjoin @ (esk4_1 @ X127) @ (esk4_1 @ X127)) @ X127|~in @ emptyset @ X127|(~in @ X129 @ omega|in @ X129 @ X127)))&(((((in @ (esk8_3 @ X130 @ X131 @ X136) @ X131|~in @ X136 @ (esk7_2 @ X130 @ X131)|in @ (esk5_2 @ X130 @ X131) @ X131)&(X130 @ (esk8_3 @ X130 @ X131 @ X136) @ X136|~in @ X136 @ (esk7_2 @ X130 @ X131)|in @ (esk5_2 @ X130 @ X131) @ X131))&(~in @ X139 @ X131|~X130 @ X139 @ X138|in @ X138 @ (esk7_2 @ X130 @ X131)|in @ (esk5_2 @ X130 @ X131) @ X131))&((((in @ (esk8_3 @ X130 @ X131 @ X136) @ X131|~in @ X136 @ (esk7_2 @ X130 @ X131)|(X130 @ (esk5_2 @ X130 @ X131) @ (esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133))&(X130 @ (esk8_3 @ X130 @ X131 @ X136) @ X136|~in @ X136 @ (esk7_2 @ X130 @ X131)|(X130 @ (esk5_2 @ X130 @ X131) @ (esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133)))&(~in @ X139 @ X131|~X130 @ X139 @ X138|in @ X138 @ (esk7_2 @ X130 @ X131)|(X130 @ (esk5_2 @ X130 @ X131) @ (esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133)))&(((in @ (esk8_3 @ X130 @ X131 @ X136) @ X131|~in @ X136 @ (esk7_2 @ X130 @ X131)|((X133)!=(esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133))&(X130 @ (esk8_3 @ X130 @ X131 @ X136) @ X136|~in @ X136 @ (esk7_2 @ X130 @ X131)|((X133)!=(esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133)))&(~in @ X139 @ X131|~X130 @ X139 @ X138|in @ X138 @ (esk7_2 @ X130 @ X131)|((X133)!=(esk6_3 @ X130 @ X131 @ X133)|~X130 @ (esk5_2 @ X130 @ X131) @ X133)))))&(((in @ (esk9_1 @ X140) @ X140|~in @ X141 @ X140)&(~in @ X143 @ (esk9_1 @ X140)|~in @ X143 @ X140|~in @ X141 @ X140))&(epred3_0&(((X144 @ (esk10_2 @ X144 @ X145)|~X144 @ X145|X144 @ (descr @ (epred2_2 @ X144)))&((X145)!=(esk10_2 @ X144 @ X145)|~X144 @ X145|X144 @ (descr @ (epred2_2 @ X144))))&((~in @ X149 @ X147|(~X148 @ X149|in @ X149 @ (dsetconstr @ X147 @ (epred2_2 @ X148))))&((~in @ X152 @ (dsetconstr @ X150 @ (epred2_2 @ X151))|in @ X152 @ X150)&((~in @ X155 @ (dsetconstr @ X153 @ (epred2_2 @ X154))|X154 @ X155)&((((X156 @ (esk12_1 @ X156)|(X156 @ (esk11_2 @ X156 @ X157)|~X156 @ X157))&(~X156 @ X160|(esk12_1 @ X156)=(X160)|(X156 @ (esk11_2 @ X156 @ X157)|~X156 @ X157)))&((X156 @ (esk12_1 @ X156)|((X157)!=(esk11_2 @ X156 @ X157)|~X156 @ X157))&(~X156 @ X160|(esk12_1 @ X156)=(X160)|((X157)!=(esk11_2 @ X156 @ X157)|~X156 @ X157))))&((((~X161|X161|X161)&(~in @ X162 @ (prop2set @ $false)|X161|X161))&((~X161|~in @ X162 @ (prop2set @ $true)|X161)&(~in @ X162 @ (prop2set @ $false)|~in @ X162 @ (prop2set @ $true)|X161)))&((~in @ X163 @ emptyset|X164)&(~in @ X165 @ emptyset&(~in @ X166 @ emptyset&(((X167 @ (esk13_2 @ X167 @ X168)|~X167 @ X168|X167 @ (esk14_1 @ X167))&((X168)!=(esk13_2 @ X167 @ X168)|~X167 @ X168|X167 @ (esk14_1 @ X167)))&((((in @ (esk16_2 @ X171 @ X172) @ X172|(X171)=(X172)|in @ (esk15_2 @ X171 @ X172) @ X171)&(~in @ (esk16_2 @ X171 @ X172) @ X171|(X171)=(X172)|in @ (esk15_2 @ X171 @ X172) @ X171))&((in @ (esk16_2 @ X171 @ X172) @ X172|(X171)=(X172)|~in @ (esk15_2 @ X171 @ X172) @ X172)&(~in @ (esk16_2 @ X171 @ X172) @ X171|(X171)=(X172)|~in @ (esk15_2 @ X171 @ X172) @ X172)))&((in @ (esk17_1 @ X175) @ X175|(X175)=(emptyset))&((in @ (esk18_1 @ X177) @ X177|(X177)=(emptyset))&(((~in @ X181 @ (dsetconstr @ X179 @ (epred2_2 @ X180))|X180 @ X181|~in @ X181 @ X179)&(~X180 @ X181|in @ X181 @ (dsetconstr @ X179 @ (epred2_2 @ X180))|~in @ X181 @ X179))&(((X182)=(emptyset)|in @ (esk19_1 @ X182) @ X182)&(in @ esk21_0 @ esk20_0&(epred4_0 @ esk21_0&(dsetconstr @ esk20_0 @ (epred2_2 @ epred4_0))=(emptyset))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])])).
0.15/0.35	thf(c_0_38, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(in @ X2 @ (dsetconstr @ X3 @ (epred2_2 @ X1))|~X1 @ X2|~in @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_37])).
0.15/0.35	thf(c_0_39, negated_conjecture, (dsetconstr @ esk20_0 @ (epred2_2 @ epred4_0))=(emptyset), inference(split_conjunct,[status(thm)],[c_0_37])).
0.15/0.35	thf(c_0_40, negated_conjecture, ![X2:$i]:~in @ X2 @ emptyset, inference(split_conjunct,[status(thm)],[c_0_37])).
0.15/0.35	thf(c_0_41, negated_conjecture, ![X2:$i]:(~in @ X2 @ esk20_0|~epred4_0 @ X2), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])).
0.15/0.35	thf(c_0_42, negated_conjecture, in @ esk21_0 @ esk20_0, inference(split_conjunct,[status(thm)],[c_0_37])).
0.15/0.35	thf(c_0_43, negated_conjecture, epred4_0 @ esk21_0, inference(split_conjunct,[status(thm)],[c_0_37])).
0.15/0.35	thf(c_0_44, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])]), ['proof']).
0.15/0.35	# SZS output end CNFRefutation
0.15/0.35	# Proof object total steps             : 45
0.15/0.35	# Proof object clause steps            : 7
0.15/0.35	# Proof object formula steps           : 38
0.15/0.35	# Proof object conjectures             : 10
0.15/0.35	# Proof object clause conjectures      : 7
0.15/0.35	# Proof object formula conjectures     : 3
0.15/0.35	# Proof object initial clauses used    : 5
0.15/0.35	# Proof object initial formulas used   : 29
0.15/0.35	# Proof object generating inferences   : 2
0.15/0.35	# Proof object simplifying inferences  : 3
0.15/0.35	# Training examples: 0 positive, 0 negative
0.15/0.35	# Parsed axioms                        : 67
0.15/0.35	# Removed by relevancy pruning/SinE    : 0
0.15/0.35	# Initial clauses                      : 114
0.15/0.35	# Removed in clause preprocessing      : 39
0.15/0.35	# Initial clauses in saturation        : 75
0.15/0.35	# Processed clauses                    : 166
0.15/0.35	# ...of these trivial                  : 1
0.15/0.35	# ...subsumed                          : 10
0.15/0.35	# ...remaining for further processing  : 155
0.15/0.35	# Other redundant clauses eliminated   : 16
0.15/0.35	# Clauses deleted for lack of memory   : 0
0.15/0.35	# Backward-subsumed                    : 0
0.15/0.35	# Backward-rewritten                   : 1
0.15/0.35	# Generated clauses                    : 483
0.15/0.35	# ...of the previous two non-trivial   : 274
0.15/0.35	# Contextual simplify-reflections      : 0
0.15/0.35	# Paramodulations                      : 305
0.15/0.35	# Factorizations                       : 2
0.15/0.35	# NegExts                              : 0
0.15/0.35	# Equation resolutions                 : 16
0.15/0.35	# Propositional unsat checks           : 0
0.15/0.35	#    Propositional check models        : 0
0.15/0.35	#    Propositional check unsatisfiable : 0
0.15/0.35	#    Propositional clauses             : 0
0.15/0.35	#    Propositional clauses after purity: 0
0.15/0.35	#    Propositional unsat core size     : 0
0.15/0.35	#    Propositional preprocessing time  : 0.000
0.15/0.35	#    Propositional encoding time       : 0.000
0.15/0.35	#    Propositional solver time         : 0.000
0.15/0.35	#    Success case prop preproc time    : 0.000
0.15/0.35	#    Success case prop encoding time   : 0.000
0.15/0.35	#    Success case prop solver time     : 0.000
0.15/0.35	# Current number of processed clauses  : 84
0.15/0.35	#    Positive orientable unit clauses  : 44
0.15/0.35	#    Positive unorientable unit clauses: 0
0.15/0.35	#    Negative unit clauses             : 2
0.15/0.35	#    Non-unit-clauses                  : 38
0.15/0.35	# Current number of unprocessed clauses: 248
0.15/0.35	# ...number of literals in the above   : 574
0.15/0.35	# Current number of archived formulas  : 0
0.15/0.35	# Current number of archived clauses   : 70
0.15/0.35	# Clause-clause subsumption calls (NU) : 2069
0.15/0.35	# Rec. Clause-clause subsumption calls : 990
0.15/0.35	# Non-unit clause-clause subsumptions  : 3
0.15/0.35	# Unit Clause-clause subsumption calls : 236
0.15/0.35	# Rewrite failures with RHS unbound    : 0
0.15/0.35	# BW rewrite match attempts            : 19
0.15/0.35	# BW rewrite match successes           : 1
0.15/0.35	# Condensation attempts                : 0
0.15/0.35	# Condensation successes               : 0
0.15/0.35	# Termbank termtop insertions          : 15010
0.15/0.35	
0.15/0.35	# -------------------------------------------------
0.15/0.35	# User time                : 0.044 s
0.15/0.35	# System time              : 0.005 s
0.15/0.35	# Total time               : 0.049 s
0.15/0.35	# Maximum resident set size: 1716 pages
0.15/0.35	EOF