0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n002.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 10:55:13 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.43 Running higher-order theorem proving 0.12/0.44 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=180 /export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p 0.21/0.48 % Version: 3.5.1-ho 0.21/0.48 % Preprocessing class: HSMSSLSSMLLCHFA. 0.21/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.48 % Starting new_ho_10 with 900s (5) cores 0.21/0.48 % Starting sh5l with 180s (1) cores 0.21/0.48 % Starting new_bool_1 with 180s (1) cores 0.21/0.48 % Starting new_bool_2 with 180s (1) cores 0.21/0.48 % new_bool_2 with pid 3227245 completed with status 0 0.21/0.48 % Result found by new_bool_2 0.21/0.48 % Preprocessing class: HSMSSLSSMLLCHFA. 0.21/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.48 % Starting new_ho_10 with 900s (5) cores 0.21/0.48 % Starting sh5l with 180s (1) cores 0.21/0.48 % Starting new_bool_1 with 180s (1) cores 0.21/0.48 % Starting new_bool_2 with 180s (1) cores 0.21/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.21/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.48 % Search class: HGHSM-FFMS31-SHFSMSBN 0.21/0.48 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.21/0.48 % Starting SubtermCWHack with 19s (1) cores 0.21/0.48 % SubtermCWHack with pid 3227246 completed with status 0 0.21/0.48 % Result found by SubtermCWHack 0.21/0.48 % Preprocessing class: HSMSSLSSMLLCHFA. 0.21/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.48 % Starting new_ho_10 with 900s (5) cores 0.21/0.48 % Starting sh5l with 180s (1) cores 0.21/0.48 % Starting new_bool_1 with 180s (1) cores 0.21/0.48 % Starting new_bool_2 with 180s (1) cores 0.21/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.21/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.48 % Search class: HGHSM-FFMS31-SHFSMSBN 0.21/0.48 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.21/0.48 % Starting SubtermCWHack with 19s (1) cores 0.21/0.48 % Preprocessing time : 0.003 s 0.21/0.48 0.21/0.48 % Proof found! 0.21/0.48 % SZS status Theorem 0.21/0.48 % SZS output start CNFRefutation 0.21/0.48 thf(decl_23, type, in: $i > $i > $o). 0.21/0.48 thf(decl_24, type, exu: ($i > $o) > $o). 0.21/0.48 thf(decl_25, type, setextAx: $o). 0.21/0.48 thf(decl_26, type, emptyset: $i). 0.21/0.48 thf(decl_27, type, emptysetAx: $o). 0.21/0.48 thf(decl_28, type, setadjoin: $i > $i > $i). 0.21/0.48 thf(decl_29, type, setadjoinAx: $o). 0.21/0.48 thf(decl_30, type, powerset: $i > $i). 0.21/0.48 thf(decl_31, type, powersetAx: $o). 0.21/0.48 thf(decl_32, type, setunion: $i > $i). 0.21/0.48 thf(decl_33, type, setunionAx: $o). 0.21/0.48 thf(decl_34, type, omega: $i). 0.21/0.48 thf(decl_35, type, omega0Ax: $o). 0.21/0.48 thf(decl_36, type, omegaSAx: $o). 0.21/0.48 thf(decl_37, type, omegaIndAx: $o). 0.21/0.48 thf(decl_38, type, replAx: $o). 0.21/0.48 thf(decl_39, type, foundationAx: $o). 0.21/0.48 thf(decl_40, type, wellorderingAx: $o). 0.21/0.48 thf(decl_42, type, descrp: $o). 0.21/0.48 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i). 0.21/0.48 thf(decl_44, type, dsetconstrI: $o). 0.21/0.48 thf(decl_45, type, dsetconstrEL: $o). 0.21/0.48 thf(decl_46, type, dsetconstrER: $o). 0.21/0.48 thf(decl_47, type, exuE1: $o). 0.21/0.48 thf(decl_48, type, prop2set: $o > $i). 0.21/0.48 thf(decl_49, type, prop2setE: $o). 0.21/0.48 thf(decl_50, type, emptysetE: $o). 0.21/0.48 thf(decl_51, type, emptysetimpfalse: $o). 0.21/0.48 thf(decl_52, type, notinemptyset: $o). 0.21/0.48 thf(decl_53, type, exuE3e: $o). 0.21/0.48 thf(decl_54, type, setext: $o). 0.21/0.48 thf(decl_55, type, emptyI: $o). 0.21/0.48 thf(decl_56, type, noeltsimpempty: $o). 0.21/0.48 thf(decl_57, type, setbeta: $o). 0.21/0.48 thf(decl_58, type, nonempty: $i > $o). 0.21/0.48 thf(decl_59, type, nonemptyE1: $o). 0.21/0.48 thf(decl_60, type, nonemptyI: $o). 0.21/0.48 thf(decl_61, type, nonemptyI1: $o). 0.21/0.48 thf(decl_62, type, setadjoinIL: $o). 0.21/0.48 thf(decl_63, type, emptyinunitempty: $o). 0.21/0.48 thf(decl_64, type, setadjoinIR: $o). 0.21/0.48 thf(decl_65, type, setadjoinE: $o). 0.21/0.48 thf(decl_66, type, setadjoinOr: $o). 0.21/0.48 thf(decl_67, type, setoftrueEq: $o). 0.21/0.48 thf(decl_68, type, powersetI: $o). 0.21/0.48 thf(decl_69, type, emptyinPowerset: $o). 0.21/0.48 thf(decl_70, type, emptyInPowerset: $o). 0.21/0.48 thf(decl_71, type, powersetE: $o). 0.21/0.48 thf(decl_72, type, setunionI: $o). 0.21/0.48 thf(decl_73, type, epred1_0: $o). 0.21/0.48 thf(decl_74, type, esk1_2: $i > $i > $i). 0.21/0.48 thf(decl_75, type, esk2_2: $i > $i > $i). 0.21/0.48 thf(decl_76, type, esk3_2: $i > $i > $i). 0.21/0.48 thf(decl_77, type, esk4_1: $i > $i). 0.21/0.48 thf(decl_78, type, esk5_2: ($i > $i > $o) > $i > $i). 0.21/0.48 thf(decl_79, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.48 thf(decl_80, type, esk7_2: ($i > $i > $o) > $i > $i). 0.21/0.48 thf(decl_81, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.48 thf(decl_82, type, esk9_1: $i > $i). 0.21/0.48 thf(decl_83, type, esk10_2: ($i > $o) > $i > $i). 0.21/0.48 thf(decl_84, type, esk11_1: ($i > $o) > $i). 0.21/0.48 thf(decl_85, type, esk12_2: ($i > $o) > $i > $i). 0.21/0.48 thf(decl_86, type, esk13_1: ($i > $o) > $i). 0.21/0.48 thf(decl_87, type, esk14_2: $i > $i > $i). 0.21/0.48 thf(decl_88, type, esk15_2: $i > $i > $i). 0.21/0.48 thf(decl_89, type, esk16_1: $i > $i). 0.21/0.48 thf(decl_90, type, esk17_1: $i > $i). 0.21/0.48 thf(decl_91, type, esk18_1: $i > $i). 0.21/0.48 thf(decl_92, type, esk19_2: $i > $i > $i). 0.21/0.48 thf(decl_93, type, esk20_0: $i). 0.21/0.48 thf(decl_94, type, esk21_0: $i). 0.21/0.48 thf(decl_95, type, epred2_0: $o). 0.21/0.48 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', prop2set)). 0.21/0.48 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', replAx)). 0.21/0.48 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', exu)). 0.21/0.48 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', nonempty)). 0.21/0.48 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', exuE3e)). 0.21/0.48 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', exuE1)). 0.21/0.48 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', nonemptyI)). 0.21/0.48 thf(setunionE, conjecture, (((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>(((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>(((((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>((((((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>![X4:$i, X2:$i]:((![X14:$o]:(((X14)<=![X5:$i]:((((in @ X5 @ X4)=>(X14))<=(in @ X2 @ X5)))))<=(in @ X2 @ (setunion @ X4))))))))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))))<=(nonemptyI))<=(nonemptyE1)))<=(noeltsimpempty))<=(emptyI))<=(setext)))))<=(emptysetE))<=(prop2setE))))<=(dsetconstrEL)))<=(descrp)))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax))))))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setunionE)). 0.21/0.48 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', prop2setE)). 0.21/0.48 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', dsetconstrEL)). 0.21/0.48 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', dsetconstrI)). 0.21/0.48 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', dsetconstrER)). 0.21/0.48 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', nonemptyI1)). 0.21/0.48 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setbeta)). 0.21/0.48 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setoftrueEq)). 0.21/0.48 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', nonemptyE1)). 0.21/0.48 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setadjoinAx)). 0.21/0.48 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', noeltsimpempty)). 0.21/0.48 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptyI)). 0.21/0.48 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setext)). 0.21/0.48 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptysetE)). 0.21/0.48 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', foundationAx)). 0.21/0.48 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', omegaSAx)). 0.21/0.48 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', omega0Ax)). 0.21/0.48 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setextAx)). 0.21/0.48 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.oMooeJCPqT/E---3.1_3227229.p', wellorderingAx)). 0.21/0.48 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', omegaIndAx)). 0.21/0.48 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', powersetAx)). 0.21/0.48 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptysetAx)). 0.21/0.48 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setadjoinIL)). 0.21/0.48 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', notinemptyset)). 0.21/0.48 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptysetimpfalse)). 0.21/0.48 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptyinPowerset)). 0.21/0.48 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setadjoinOr)). 0.21/0.48 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', powersetI)). 0.21/0.48 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setunionAx)). 0.21/0.48 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setunionI)). 0.21/0.48 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', powersetE)). 0.21/0.48 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptyInPowerset)). 0.21/0.48 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', setadjoinIR)). 0.21/0.48 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.oMooeJCPqT/E---3.1_3227229.p', emptyinunitempty)). 0.21/0.48 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.oMooeJCPqT/E---3.1_3227229.p', setadjoinE)). 0.21/0.48 thf(c_0_42, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.21/0.48 thf(c_0_43, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.21/0.48 thf(c_0_44, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.21/0.48 thf(c_0_45, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.21/0.48 thf(c_0_46, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.21/0.48 thf(c_0_47, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.21/0.48 thf(c_0_48, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.21/0.48 thf(c_0_49, negated_conjecture, ~((((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>(((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>(((((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>((((((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>![X4:$i, X2:$i]:((![X14:$o]:(((X14)<=![X5:$i]:((((in @ X5 @ X4)=>(X14))<=(in @ X2 @ X5)))))<=(in @ X2 @ (setunion @ X4))))))))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))))<=(nonemptyI))<=(nonemptyE1)))<=(noeltsimpempty))<=(emptyI))<=(setext)))))<=(emptysetE))<=(prop2setE))))<=(dsetconstrEL)))<=(descrp)))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax))))))<=(setextAx))), inference(assume_negation,[status(cth)],[setunionE])). 0.21/0.48 thf(c_0_50, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_42])). 0.21/0.48 thf(c_0_51, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.21/0.48 thf(c_0_52, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.21/0.48 thf(c_0_53, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X127:$i]:(((((X6 @ X2 @ X127)))&(![X128:$i]:(((((X6 @ X2 @ X128)))=>(((X127)=(X128)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_43, c_0_44])). 0.21/0.48 thf(c_0_54, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.21/0.48 thf(c_0_55, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_45])). 0.21/0.48 thf(c_0_56, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.21/0.48 thf(c_0_57, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X131:$i]:(((((X1 @ X131)))&(![X132:$i]:(((((X1 @ X132)))=>(((X131)=(X132))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_44])). 0.21/0.48 thf(c_0_58, plain, ((exuE1)=(![X1:$i > $o]:((((?[X129:$i]:(((((X1 @ X129)))&(![X130:$i]:(((((X1 @ X130)))=>(((X129)=(X130))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_44])). 0.21/0.48 thf(c_0_59, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.21/0.48 thf(c_0_60, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_48, c_0_45])). 0.21/0.48 thf(c_0_61, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_45])). 0.21/0.48 thf(c_0_62, plain, ((epred1_0)<=>![X154:$i]:(?[X155:$i]:((((![X156:$i]:(((in @ X156 @ X155)=>![X157:$i]:(((in @ X157 @ X156)=>(in @ X157 @ X154)))))&![X158:$i, X159:$i]:((((in @ X158 @ X154)&(in @ X159 @ X154))=>(![X160:$i]:(((in @ X160 @ X155)=>((in @ X158 @ X160)<=>(in @ X159 @ X160))))=>((X158)=(X159))))))&![X161:$i, X162:$i]:((((in @ X161 @ X155)&(in @ X162 @ X155))=>(![X163:$i]:(((in @ X163 @ X161)=>(in @ X163 @ X162)))|![X164:$i]:(((in @ X164 @ X162)=>(in @ X164 @ X161)))))))&![X165:$i]:(((![X166:$i]:(((in @ X166 @ X165)=>(in @ X166 @ X154)))&?[X167:$i]:((in @ X167 @ X165)))=>?[X168:$i, X169:$i]:(((((in @ X168 @ X155)&(in @ X169 @ X165))&~(?[X170:$i]:(((in @ X170 @ X168)&(in @ X170 @ X165)))))&![X171:$i]:(((in @ X171 @ X155)=>(![X172:$i]:(((in @ X172 @ X171)=>(in @ X172 @ X168)))|(in @ X169 @ X171)))))))))))), introduced(definition)). 0.21/0.48 thf(c_0_63, negated_conjecture, ~((![X244:$i, X245:$i]:((![X246:$i]:(((in @ X246 @ X244)<=>(in @ X246 @ X245)))=>((X244)=(X245))))=>(![X133:$i]:(~(in @ X133 @ emptyset))=>(![X134:$i, X135:$i, X136:$i]:(((in @ X136 @ (setadjoin @ X134 @ X135))<=>(((X136)=(X134))|(in @ X136 @ X135))))=>(![X137:$i, X138:$i]:(((in @ X138 @ (powerset @ X137))<=>![X139:$i]:(((in @ X139 @ X138)=>(in @ X139 @ X137)))))=>(![X140:$i, X141:$i]:(((in @ X141 @ (setunion @ X140))<=>?[X142:$i]:(((in @ X141 @ X142)&(in @ X142 @ X140)))))=>((in @ emptyset @ omega)=>(![X243:$i]:(((in @ X243 @ omega)=>(in @ (setadjoin @ X243 @ X243) @ omega)))=>(![X143:$i]:((((in @ emptyset @ X143)&![X144:$i]:((((in @ X144 @ omega)&(in @ X144 @ X143))=>(in @ (setadjoin @ X144 @ X144) @ X143))))=>![X145:$i]:(((in @ X145 @ omega)=>(in @ X145 @ X143)))))=>(![X146:$i > $i > $o, X147:$i]:((![X148:$i]:(((in @ X148 @ X147)=>?[X149:$i]:(((X146 @ X148 @ X149)&![X150:$i]:(((X146 @ X148 @ X150)=>((X149)=(X150))))))))=>?[X151:$i]:(![X152:$i]:(((in @ X152 @ X151)<=>?[X153:$i]:(((in @ X153 @ X147)&(X146 @ X153 @ X152))))))))=>(![X239:$i]:((?[X240:$i]:((in @ X240 @ X239))=>?[X241:$i]:(((in @ X241 @ X239)&~(?[X242:$i]:(((in @ X242 @ X241)&(in @ X242 @ X239))))))))=>((epred1_0)=>((descrp)=>(![X173:$i, X174:$i > $o, X175:$i]:(((in @ X175 @ X173)=>((X174 @ X175)=>(in @ X175 @ (dsetconstr @ X173 @ (^[Z0:$i]:((X174 @ Z0))))))))=>(![X236:$i, X237:$i > $o, X238:$i]:(((in @ X238 @ (dsetconstr @ X236 @ (^[Z0:$i]:((X237 @ Z0)))))=>(in @ X238 @ X236)))=>(![X176:$i, X177:$i > $o, X178:$i]:(((in @ X178 @ (dsetconstr @ X176 @ (^[Z0:$i]:((X177 @ Z0)))))=>(X177 @ X178)))=>(![X179:$i > $o]:((?[X180:$i]:(((X179 @ X180)&![X181:$i]:(((X179 @ X181)=>((X180)=(X181))))))=>?[X182:$i]:(((X179 @ X182)&![X183:$i]:(((X179 @ X183)=>((X182)=(X183))))))))=>(![X234:$o, X235:$i]:(((in @ X235 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X234)))))=>(X234)))=>(![X232:$i]:(((in @ X232 @ emptyset)=>![X233:$o]:((X233))))=>(![X184:$i]:(~(in @ X184 @ emptyset))=>(![X185:$i]:(~(in @ X185 @ emptyset))=>(![X186:$i > $o]:((?[X187:$i]:(((X186 @ X187)&![X188:$i]:(((X186 @ X188)=>((X187)=(X188))))))=>?[X189:$i]:((X186 @ X189))))=>(![X228:$i, X229:$i]:((![X230:$i]:(((in @ X230 @ X228)=>(in @ X230 @ X229)))=>(![X231:$i]:(((in @ X231 @ X229)=>(in @ X231 @ X228)))=>((X228)=(X229)))))=>(![X226:$i]:((![X227:$i]:(~(in @ X227 @ X226))=>((X226)=(emptyset))))=>(![X224:$i]:((![X225:$i]:(~(in @ X225 @ X224))=>((X224)=(emptyset))))=>(![X190:$i, X191:$i > $o, X192:$i]:(((in @ X192 @ X190)=>((in @ X192 @ (dsetconstr @ X190 @ (^[Z0:$i]:((X191 @ Z0)))))<=>(X191 @ X192))))=>(![X222:$i]:((((X222)!=(emptyset))=>?[X223:$i]:((in @ X223 @ X222))))=>(![X219:$i, X220:$i > $o, X221:$i]:(((in @ X221 @ X219)=>((X220 @ X221)=>((dsetconstr @ X219 @ (^[Z0:$i]:((X220 @ Z0))))!=(emptyset)))))=>(![X193:$i]:((?[X194:$i]:((in @ X194 @ X193))=>((X193)!=(emptyset))))=>(![X195:$i, X196:$i]:((in @ X195 @ (setadjoin @ X195 @ X196)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X216:$i, X217:$i, X218:$i]:(((in @ X218 @ X217)=>(in @ X218 @ (setadjoin @ X216 @ X217))))=>(![X212:$i, X213:$i, X214:$i]:(((in @ X214 @ (setadjoin @ X212 @ X213))=>![X215:$o]:(((((X214)=(X212))=>(X215))=>(((in @ X214 @ X213)=>(X215))=>(X215))))))=>(![X209:$i, X210:$i, X211:$i]:(((in @ X211 @ (setadjoin @ X209 @ X210))=>(((X211)=(X209))|(in @ X211 @ X210))))=>(![X208:$i]:(((dsetconstr @ X208 @ (^[Z0:$i]:(($true))))=(X208)))=>(![X205:$i, X206:$i]:((![X207:$i]:(((in @ X207 @ X206)=>(in @ X207 @ X205)))=>(in @ X206 @ (powerset @ X205))))=>(![X197:$i]:((in @ emptyset @ (powerset @ X197)))=>(![X198:$i]:((in @ emptyset @ (powerset @ X198)))=>(![X199:$i, X200:$i, X201:$i]:(((in @ X200 @ (powerset @ X199))=>((in @ X201 @ X200)=>(in @ X201 @ X199))))=>(![X202:$i, X203:$i, X204:$i]:(((in @ X203 @ X204)=>((in @ X204 @ X202)=>(in @ X203 @ (setunion @ X202)))))=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49, setadjoinAx]), noeltsimpempty]), emptyI]), setext]), emptysetE]), c_0_50]), c_0_51]), foundationAx]), omegaSAx]), omega0Ax]), setextAx]), c_0_52]), wellorderingAx]), c_0_53]), omegaIndAx]), powersetAx]), emptysetAx]), c_0_54]), setadjoinIL]), c_0_55]), c_0_56]), c_0_57]), notinemptyset]), emptysetimpfalse]), c_0_58]), emptyinPowerset]), setadjoinOr]), c_0_59]), powersetI]), setunionAx]), setunionI]), powersetE]), emptyInPowerset]), setadjoinIR]), emptyinunitempty]), c_0_60]), c_0_61]), setadjoinE])]), c_0_62])). 0.21/0.48 thf(c_0_64, negated_conjecture, ![X247:$i, X248:$i, X250:$i, X251:$i, X252:$i, X253:$i, X254:$i, X255:$i, X256:$i, X257:$i, X258:$i, X260:$i, X261:$i, X263:$i, X264:$i, X265:$i, X266:$i, X267:$i, X269:$i, X270:$i > $i > $o, X271:$i, X273:$i, X276:$i, X278:$i, X279:$i, X280:$i, X281:$i, X283:$i, X284:$i, X285:$i > $o, X286:$i, X287:$i, X288:$i > $o, X289:$i, X290:$i, X291:$i > $o, X292:$i, X293:$i > $o, X294:$i, X297:$i, X298:$o, X299:$i, X300:$i, X301:$o, X302:$i, X303:$i, X304:$i > $o, X305:$i, X308:$i, X309:$i, X312:$i, X314:$i, X316:$i, X317:$i > $o, X318:$i, X319:$i, X321:$i, X322:$i > $o, X323:$i, X324:$i, X325:$i, X326:$i, X327:$i, X328:$i, X329:$i, X330:$i, X331:$i, X332:$i, X333:$i, X334:$o, X335:$i, X336:$i, X337:$i, X338:$i, X339:$i, X340:$i, X342:$i, X343:$i, X344:$i, X345:$i, X346:$i, X347:$i, X348:$i, X349:$i, X353:$i]:((((~(in @ (esk1_2 @ X247 @ X248) @ X247)|~(in @ (esk1_2 @ X247 @ X248) @ X248)|((X247)=(X248)))&((in @ (esk1_2 @ X247 @ X248) @ X247)|(in @ (esk1_2 @ X247 @ X248) @ X248)|((X247)=(X248))))&(~(in @ X250 @ emptyset)&(((~(in @ X253 @ (setadjoin @ X251 @ X252))|(((X253)=(X251))|(in @ X253 @ X252)))&((((X253)!=(X251))|(in @ X253 @ (setadjoin @ X251 @ X252)))&(~(in @ X253 @ X252)|(in @ X253 @ (setadjoin @ X251 @ X252)))))&(((~(in @ X255 @ (powerset @ X254))|(~(in @ X256 @ X255)|(in @ X256 @ X254)))&(((in @ (esk2_2 @ X257 @ X258) @ X258)|(in @ X258 @ (powerset @ X257)))&(~(in @ (esk2_2 @ X257 @ X258) @ X257)|(in @ X258 @ (powerset @ X257)))))&(((((in @ X261 @ (esk3_2 @ X260 @ X261))|~(in @ X261 @ (setunion @ X260)))&((in @ (esk3_2 @ X260 @ X261) @ X260)|~(in @ X261 @ (setunion @ X260))))&(~(in @ X264 @ X265)|~(in @ X265 @ X263)|(in @ X264 @ (setunion @ X263))))&((in @ emptyset @ omega)&((~(in @ X266 @ omega)|(in @ (setadjoin @ X266 @ X266) @ omega))&(((((in @ (esk4_1 @ X267) @ omega)|~(in @ emptyset @ X267)|(~(in @ X269 @ omega)|(in @ X269 @ X267)))&((in @ (esk4_1 @ X267) @ X267)|~(in @ emptyset @ X267)|(~(in @ X269 @ omega)|(in @ X269 @ X267))))&(~(in @ (setadjoin @ (esk4_1 @ X267) @ (esk4_1 @ X267)) @ X267)|~(in @ emptyset @ X267)|(~(in @ X269 @ omega)|(in @ X269 @ X267))))&((((((in @ (esk8_3 @ X270 @ X271 @ X276) @ X271)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|(in @ (esk5_2 @ X270 @ X271) @ X271))&((X270 @ (esk8_3 @ X270 @ X271 @ X276) @ X276)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|(in @ (esk5_2 @ X270 @ X271) @ X271)))&(~(in @ X279 @ X271)|~(X270 @ X279 @ X278)|(in @ X278 @ (esk7_2 @ X270 @ X271))|(in @ (esk5_2 @ X270 @ X271) @ X271)))&(((((in @ (esk8_3 @ X270 @ X271 @ X276) @ X271)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|((X270 @ (esk5_2 @ X270 @ X271) @ (esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273)))&((X270 @ (esk8_3 @ X270 @ X271 @ X276) @ X276)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|((X270 @ (esk5_2 @ X270 @ X271) @ (esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273))))&(~(in @ X279 @ X271)|~(X270 @ X279 @ X278)|(in @ X278 @ (esk7_2 @ X270 @ X271))|((X270 @ (esk5_2 @ X270 @ X271) @ (esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273))))&((((in @ (esk8_3 @ X270 @ X271 @ X276) @ X271)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|(((X273)!=(esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273)))&((X270 @ (esk8_3 @ X270 @ X271 @ X276) @ X276)|~(in @ X276 @ (esk7_2 @ X270 @ X271))|(((X273)!=(esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273))))&(~(in @ X279 @ X271)|~(X270 @ X279 @ X278)|(in @ X278 @ (esk7_2 @ X270 @ X271))|(((X273)!=(esk6_3 @ X270 @ X271 @ X273))|~(X270 @ (esk5_2 @ X270 @ X271) @ X273))))))&((((in @ (esk9_1 @ X280) @ X280)|~(in @ X281 @ X280))&(~(in @ X283 @ (esk9_1 @ X280))|~(in @ X283 @ X280)|~(in @ X281 @ X280)))&((epred1_0)&((descrp)&((~(in @ X286 @ X284)|(~(X285 @ X286)|(in @ X286 @ (dsetconstr @ X284 @ (^[Z0:$i]:((X285 @ Z0)))))))&((~(in @ X289 @ (dsetconstr @ X287 @ (^[Z0:$i]:((X288 @ Z0)))))|(in @ X289 @ X287))&((~(in @ X292 @ (dsetconstr @ X290 @ (^[Z0:$i]:((X291 @ Z0)))))|(X291 @ X292))&(((((X293 @ (esk11_1 @ X293))|((X293 @ (esk10_2 @ X293 @ X294))|~(X293 @ X294)))&(~(X293 @ X297)|((esk11_1 @ X293)=(X297))|((X293 @ (esk10_2 @ X293 @ X294))|~(X293 @ X294))))&(((X293 @ (esk11_1 @ X293))|(((X294)!=(esk10_2 @ X293 @ X294))|~(X293 @ X294)))&(~(X293 @ X297)|((esk11_1 @ X293)=(X297))|(((X294)!=(esk10_2 @ X293 @ X294))|~(X293 @ X294)))))&((~(in @ X299 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X298)))))|(X298))&((~(in @ X300 @ emptyset)|(X301))&(~(in @ X302 @ emptyset)&(~(in @ X303 @ emptyset)&((((X304 @ (esk12_2 @ X304 @ X305))|~(X304 @ X305)|(X304 @ (esk13_1 @ X304)))&(((X305)!=(esk12_2 @ X304 @ X305))|~(X304 @ X305)|(X304 @ (esk13_1 @ X304))))&(((((in @ (esk15_2 @ X308 @ X309) @ X309)|((X308)=(X309))|(in @ (esk14_2 @ X308 @ X309) @ X308))&(~(in @ (esk15_2 @ X308 @ X309) @ X308)|((X308)=(X309))|(in @ (esk14_2 @ X308 @ X309) @ X308)))&(((in @ (esk15_2 @ X308 @ X309) @ X309)|((X308)=(X309))|~(in @ (esk14_2 @ X308 @ X309) @ X309))&(~(in @ (esk15_2 @ X308 @ X309) @ X308)|((X308)=(X309))|~(in @ (esk14_2 @ X308 @ X309) @ X309))))&(((in @ (esk16_1 @ X312) @ X312)|((X312)=(emptyset)))&(((in @ (esk17_1 @ X314) @ X314)|((X314)=(emptyset)))&(((~(in @ X318 @ (dsetconstr @ X316 @ (^[Z0:$i]:((X317 @ Z0)))))|(X317 @ X318)|~(in @ X318 @ X316))&(~(X317 @ X318)|(in @ X318 @ (dsetconstr @ X316 @ (^[Z0:$i]:((X317 @ Z0)))))|~(in @ X318 @ X316)))&((((X319)=(emptyset))|(in @ (esk18_1 @ X319) @ X319))&((~(in @ X323 @ X321)|(~(X322 @ X323)|((dsetconstr @ X321 @ (^[Z0:$i]:((X322 @ Z0))))!=(emptyset))))&((~(in @ X325 @ X324)|((X324)!=(emptyset)))&((in @ X326 @ (setadjoin @ X326 @ X327))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X330 @ X329)|(in @ X330 @ (setadjoin @ X328 @ X329)))&(((((in @ X333 @ X332)|(X334)|((X333)=(X331))|~(in @ X333 @ (setadjoin @ X331 @ X332)))&(~(X334)|(X334)|((X333)=(X331))|~(in @ X333 @ (setadjoin @ X331 @ X332))))&(((in @ X333 @ X332)|(X334)|~(X334)|~(in @ X333 @ (setadjoin @ X331 @ X332)))&(~(X334)|(X334)|~(X334)|~(in @ X333 @ (setadjoin @ X331 @ X332)))))&((~(in @ X337 @ (setadjoin @ X335 @ X336))|(((X337)=(X335))|(in @ X337 @ X336)))&(((dsetconstr @ X338 @ (^[Z0:$i]:(($true))))=(X338))&((((in @ (esk19_2 @ X339 @ X340) @ X340)|(in @ X340 @ (powerset @ X339)))&(~(in @ (esk19_2 @ X339 @ X340) @ X339)|(in @ X340 @ (powerset @ X339))))&((in @ emptyset @ (powerset @ X342))&((in @ emptyset @ (powerset @ X343))&((~(in @ X345 @ (powerset @ X344))|(~(in @ X346 @ X345)|(in @ X346 @ X344)))&((~(in @ X348 @ X349)|(~(in @ X349 @ X347)|(in @ X348 @ (setunion @ X347))))&((in @ esk21_0 @ (setunion @ esk20_0))&((~(in @ esk21_0 @ X353)|(~(in @ X353 @ esk20_0)|(epred2_0)))&~(epred2_0))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])])])])). 0.21/0.48 thf(c_0_65, negated_conjecture, ![X2:$i]:(((epred2_0)|~((in @ esk21_0 @ X2))|~((in @ X2 @ esk20_0)))), inference(split_conjunct,[status(thm)],[c_0_64])). 0.21/0.48 thf(c_0_66, negated_conjecture, ~((epred2_0)), inference(split_conjunct,[status(thm)],[c_0_64])). 0.21/0.48 thf(c_0_67, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk20_0))|~((in @ esk21_0 @ X2)))), inference(sr,[status(thm)],[c_0_65, c_0_66])). 0.21/0.48 thf(c_0_68, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk3_2 @ X2 @ X3) @ X2)|~((in @ X3 @ (setunion @ X2))))), inference(split_conjunct,[status(thm)],[c_0_64])). 0.21/0.48 thf(c_0_69, negated_conjecture, ![X2:$i]:((~((in @ esk21_0 @ (esk3_2 @ esk20_0 @ X2)))|~((in @ X2 @ (setunion @ esk20_0))))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.21/0.48 thf(c_0_70, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (esk3_2 @ X3 @ X2))|~((in @ X2 @ (setunion @ X3))))), inference(split_conjunct,[status(thm)],[c_0_64])). 0.21/0.48 thf(c_0_71, negated_conjecture, (in @ esk21_0 @ (setunion @ esk20_0)), inference(split_conjunct,[status(thm)],[c_0_64])). 0.21/0.48 thf(c_0_72, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])]), ['proof']). 0.21/0.48 % SZS output end CNFRefutation 0.21/0.48 % Parsed axioms : 93 0.21/0.48 % Removed by relevancy pruning/SinE : 51 0.21/0.48 % Initial clauses : 85 0.21/0.48 % Removed in clause preprocessing : 3 0.21/0.48 % Initial clauses in saturation : 82 0.21/0.48 % Processed clauses : 83 0.21/0.48 % ...of these trivial : 2 0.21/0.48 % ...subsumed : 23 0.21/0.48 % ...remaining for further processing : 58 0.21/0.48 % Other redundant clauses eliminated : 2 0.21/0.48 % Clauses deleted for lack of memory : 0 0.21/0.48 % Backward-subsumed : 2 0.21/0.48 % Backward-rewritten : 3 0.21/0.48 % Generated clauses : 142 0.21/0.48 % ...of the previous two non-redundant : 126 0.21/0.48 % ...aggressively subsumed : 0 0.21/0.48 % Contextual simplify-reflections : 0 0.21/0.48 % Paramodulations : 140 0.21/0.48 % Factorizations : 0 0.21/0.48 % NegExts : 0 0.21/0.48 % Equation resolutions : 2 0.21/0.48 % Disequality decompositions : 0 0.21/0.48 % Total rewrite steps : 22 0.21/0.48 % ...of those cached : 10 0.21/0.48 % Propositional unsat checks : 0 0.21/0.48 % Propositional check models : 0 0.21/0.48 % Propositional check unsatisfiable : 0 0.21/0.48 % Propositional clauses : 0 0.21/0.48 % Propositional clauses after purity: 0 0.21/0.48 % Propositional unsat core size : 0 0.21/0.48 % Propositional preprocessing time : 0.000 0.21/0.48 % Propositional encoding time : 0.000 0.21/0.48 % Propositional solver time : 0.000 0.21/0.48 % Success case prop preproc time : 0.000 0.21/0.48 % Success case prop encoding time : 0.000 0.21/0.48 % Success case prop solver time : 0.000 0.21/0.48 % Current number of processed clauses : 51 0.21/0.48 % Positive orientable unit clauses : 15 0.21/0.48 % Positive unorientable unit clauses: 0 0.21/0.48 % Negative unit clauses : 3 0.21/0.48 % Non-unit-clauses : 33 0.21/0.48 % Current number of unprocessed clauses: 118 0.21/0.48 % ...number of literals in the above : 344 0.21/0.48 % Current number of archived formulas : 0 0.21/0.48 % Current number of archived clauses : 5 0.21/0.48 % Clause-clause subsumption calls (NU) : 229 0.21/0.48 % Rec. Clause-clause subsumption calls : 204 0.21/0.48 % Non-unit clause-clause subsumptions : 11 0.21/0.48 % Unit Clause-clause subsumption calls : 42 0.21/0.48 % Rewrite failures with RHS unbound : 0 0.21/0.48 % BW rewrite match attempts : 7 0.21/0.48 % BW rewrite match successes : 3 0.21/0.48 % Condensation attempts : 0 0.21/0.48 % Condensation successes : 0 0.21/0.48 % Termbank termtop insertions : 10703 0.21/0.48 % Search garbage collected termcells : 3450 0.21/0.48 0.21/0.48 % ------------------------------------------------- 0.21/0.48 % User time : 0.017 s 0.21/0.48 % System time : 0.003 s 0.21/0.48 % Total time : 0.020 s 0.21/0.48 % Maximum resident set size: 4496 pages 0.21/0.48 0.21/0.48 % ------------------------------------------------- 0.21/0.48 % User time : 0.021 s 0.21/0.48 % System time : 0.007 s 0.21/0.48 % Total time : 0.028 s 0.21/0.48 % Maximum resident set size: 4864 pages 0.21/0.48 % E exiting 0.21/0.49 EOF