0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E %s %d THM 0.13/0.33 % Computer : n010.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 03:37:05 EDT 2022 0.13/0.33 % CPUTime : 0.19/0.45 Running higher-order on 8 cores theorem proving 0.19/0.45 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.45 # Version: 3.0pre003-ho 0.19/0.46 # Preprocessing class: HSMSSLSSMLLCHFA. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_10 with 600s (5) cores 0.19/0.46 # Starting sh5l with 120s (1) cores 0.19/0.46 # Starting new_bool_1 with 120s (1) cores 0.19/0.46 # Starting new_bool_2 with 120s (1) cores 0.19/0.46 # sh5l with pid 20057 completed with status 0 0.19/0.46 # Result found by sh5l 0.19/0.46 # Preprocessing class: HSMSSLSSMLLCHFA. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_10 with 600s (5) cores 0.19/0.46 # Starting sh5l with 120s (1) cores 0.19/0.46 # SinE strategy is gf500_gu_R04_F100_L20000 0.19/0.46 # ...ProofStateSinE()=40/87 0.19/0.46 # Search class: HGHSS-FFMS31-SHFSMSBN 0.19/0.46 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.19/0.46 # Starting new_ho_10 with 73s (1) cores 0.19/0.46 # new_ho_10 with pid 20060 completed with status 0 0.19/0.46 # Result found by new_ho_10 0.19/0.46 # Preprocessing class: HSMSSLSSMLLCHFA. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_10 with 600s (5) cores 0.19/0.46 # Starting sh5l with 120s (1) cores 0.19/0.46 # SinE strategy is gf500_gu_R04_F100_L20000 0.19/0.46 # ...ProofStateSinE()=40/87 0.19/0.46 # Search class: HGHSS-FFMS31-SHFSMSBN 0.19/0.46 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.19/0.46 # Starting new_ho_10 with 73s (1) cores 0.19/0.46 # Preprocessing time : 0.003 s 0.19/0.46 # Presaturation interreduction done 0.19/0.46 0.19/0.46 # Proof found! 0.19/0.46 # SZS status Theorem 0.19/0.46 # SZS output start CNFRefutation 0.19/0.46 thf(decl_22, type, in: $i > $i > $o). 0.19/0.46 thf(decl_23, type, exu: ($i > $o) > $o). 0.19/0.46 thf(decl_24, type, setextAx: $o). 0.19/0.46 thf(decl_25, type, emptyset: $i). 0.19/0.46 thf(decl_26, type, emptysetAx: $o). 0.19/0.46 thf(decl_27, type, setadjoin: $i > $i > $i). 0.19/0.46 thf(decl_28, type, setadjoinAx: $o). 0.19/0.46 thf(decl_29, type, powerset: $i > $i). 0.19/0.46 thf(decl_30, type, powersetAx: $o). 0.19/0.46 thf(decl_31, type, setunion: $i > $i). 0.19/0.46 thf(decl_32, type, setunionAx: $o). 0.19/0.46 thf(decl_33, type, omega: $i). 0.19/0.46 thf(decl_34, type, omega0Ax: $o). 0.19/0.46 thf(decl_35, type, omegaSAx: $o). 0.19/0.46 thf(decl_36, type, omegaIndAx: $o). 0.19/0.46 thf(decl_37, type, replAx: $o). 0.19/0.46 thf(decl_38, type, foundationAx: $o). 0.19/0.46 thf(decl_39, type, wellorderingAx: $o). 0.19/0.46 thf(decl_40, type, descr: ($i > $o) > $i). 0.19/0.46 thf(decl_41, type, descrp: $o). 0.19/0.46 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.19/0.46 thf(decl_43, type, dsetconstrI: $o). 0.19/0.46 thf(decl_44, type, dsetconstrEL: $o). 0.19/0.46 thf(decl_45, type, dsetconstrER: $o). 0.19/0.46 thf(decl_46, type, exuE1: $o). 0.19/0.46 thf(decl_47, type, prop2set: $o > $i). 0.19/0.46 thf(decl_48, type, prop2setE: $o). 0.19/0.46 thf(decl_49, type, emptysetE: $o). 0.19/0.46 thf(decl_50, type, emptysetimpfalse: $o). 0.19/0.46 thf(decl_51, type, notinemptyset: $o). 0.19/0.46 thf(decl_52, type, exuE3e: $o). 0.19/0.46 thf(decl_53, type, setext: $o). 0.19/0.46 thf(decl_54, type, emptyI: $o). 0.19/0.46 thf(decl_55, type, noeltsimpempty: $o). 0.19/0.46 thf(decl_56, type, setbeta: $o). 0.19/0.46 thf(decl_57, type, nonempty: $i > $o). 0.19/0.46 thf(decl_58, type, nonemptyE1: $o). 0.19/0.46 thf(decl_59, type, nonemptyI: $o). 0.19/0.46 thf(decl_60, type, nonemptyI1: $o). 0.19/0.46 thf(decl_61, type, setadjoinIL: $o). 0.19/0.46 thf(decl_62, type, emptyinunitempty: $o). 0.19/0.46 thf(decl_63, type, setadjoinIR: $o). 0.19/0.46 thf(decl_64, type, setadjoinE: $o). 0.19/0.46 thf(decl_65, type, setadjoinOr: $o). 0.19/0.46 thf(decl_66, type, setoftrueEq: $o). 0.19/0.46 thf(decl_67, type, powersetI: $o). 0.19/0.46 thf(decl_68, type, emptyinPowerset: $o). 0.19/0.46 thf(decl_69, type, epred1_0: $o). 0.19/0.46 thf(decl_70, type, esk1_2: $i > $i > $i). 0.19/0.46 thf(decl_71, type, esk2_2: $i > $i > $i). 0.19/0.46 thf(decl_72, type, esk3_2: $i > $i > $i). 0.19/0.46 thf(decl_73, type, esk4_1: $i > $i). 0.19/0.46 thf(decl_74, type, esk5_2: ($i > $i > $o) > $i > $i). 0.19/0.46 thf(decl_75, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.19/0.46 thf(decl_76, type, esk7_2: ($i > $i > $o) > $i > $i). 0.19/0.46 thf(decl_77, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.19/0.46 thf(decl_78, type, esk9_1: $i > $i). 0.19/0.46 thf(decl_79, type, esk10_2: ($i > $o) > $i > $i). 0.19/0.46 thf(decl_80, type, esk11_2: ($i > $o) > $i > $i). 0.19/0.46 thf(decl_81, type, esk12_1: ($i > $o) > $i). 0.19/0.46 thf(decl_82, type, esk13_2: ($i > $o) > $i > $i). 0.19/0.46 thf(decl_83, type, esk14_1: ($i > $o) > $i). 0.19/0.46 thf(decl_84, type, esk15_2: $i > $i > $i). 0.19/0.46 thf(decl_85, type, esk16_2: $i > $i > $i). 0.19/0.46 thf(decl_86, type, esk17_1: $i > $i). 0.19/0.46 thf(decl_87, type, esk18_1: $i > $i). 0.19/0.46 thf(decl_88, type, esk19_1: $i > $i). 0.19/0.46 thf(decl_89, type, esk20_2: $i > $i > $i). 0.19/0.46 thf(decl_90, type, esk21_0: $i). 0.19/0.46 thf(decl_91, type, esk22_1: $i > $i). 0.19/0.46 thf(decl_92, type, esk23_3: $i > $i > $i > $i). 0.19/0.46 thf(decl_93, type, esk24_2: $i > $i > $i). 0.19/0.46 thf(decl_94, type, esk25_2: $i > $i > $i). 0.19/0.46 thf(decl_95, type, esk26_2: $i > $i > $i). 0.19/0.46 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set)). 0.19/0.46 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)). 0.19/0.46 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)). 0.19/0.46 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)). 0.19/0.46 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)). 0.19/0.46 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)). 0.19/0.46 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)). 0.19/0.46 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)). 0.19/0.46 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)). 0.19/0.46 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)). 0.19/0.46 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)). 0.19/0.46 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)). 0.19/0.46 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)). 0.19/0.46 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)). 0.19/0.46 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)). 0.19/0.46 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)). 0.19/0.46 thf(emptyInPowerset, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>(((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>((((dsetconstrEL)=>(((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((((noeltsimpempty)=>((((((setadjoinIL)=>((emptyinunitempty)=>((((setadjoinOr)=>((((emptyinPowerset)=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext)))))<=(emptysetE))<=(prop2setE)))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp)))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax))<=(setunionAx))))<=(emptysetAx))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)). 0.19/0.46 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)). 0.19/0.46 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)). 0.19/0.46 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)). 0.19/0.46 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)). 0.19/0.46 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)). 0.19/0.46 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)). 0.19/0.46 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)). 0.19/0.47 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)). 0.19/0.47 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)). 0.19/0.47 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)). 0.19/0.47 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)). 0.19/0.47 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)). 0.19/0.47 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)). 0.19/0.47 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)). 0.19/0.47 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/benchmark/theBenchmark.p', setadjoinE)). 0.19/0.47 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)). 0.19/0.47 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)). 0.19/0.47 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)). 0.19/0.47 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)). 0.19/0.47 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/benchmark/theBenchmark.p', wellorderingAx)). 0.19/0.47 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)). 0.19/0.47 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)). 0.19/0.47 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)). 0.19/0.47 thf(c_0_40, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.19/0.47 thf(c_0_41, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.19/0.47 thf(c_0_42, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.19/0.47 thf(c_0_43, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.19/0.47 thf(c_0_44, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.19/0.47 thf(c_0_45, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.19/0.47 thf(c_0_46, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.19/0.47 thf(c_0_47, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.19/0.47 thf(c_0_48, axiom, ((prop2setE)=(![X11:$o, X2:$i]:(((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11))))))=>(X11))))), inference(apply_def,[status(thm)],[prop2setE, c_0_40])). 0.19/0.47 thf(c_0_49, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.19/0.47 thf(c_0_50, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.19/0.47 thf(c_0_51, plain, ((descrp)=(![X1:$i > $o]:(((?[X119:$i]:((((X1 @ X119))&![X120:$i]:((((X1 @ X120))=>((X119)=(X120)))))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_41, c_0_42])). 0.19/0.47 thf(c_0_52, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X123:$i]:((((X1 @ X123))&![X124:$i]:((((X1 @ X124))=>((X123)=(X124)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_43, c_0_42])). 0.19/0.47 thf(c_0_53, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.19/0.47 thf(c_0_54, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_44])). 0.19/0.47 thf(c_0_55, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_45, c_0_44])). 0.19/0.47 thf(c_0_56, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_44])). 0.19/0.47 thf(c_0_57, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.19/0.47 thf(c_0_58, plain, ((exuE1)=(![X1:$i > $o]:(((?[X121:$i]:((((X1 @ X121))&![X122:$i]:((((X1 @ X122))=>((X121)=(X122)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_42])). 0.19/0.47 thf(c_0_59, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.19/0.47 thf(c_0_60, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X117:$i]:((((X6 @ X2 @ X117))&![X118:$i]:((((X6 @ X2 @ X118))=>((X117)=(X118)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_42])). 0.19/0.47 thf(c_0_61, plain, ((epred1_0)<=>![X145:$i]:(?[X146:$i]:((((![X147:$i]:(((in @ X147 @ X146)=>![X148:$i]:(((in @ X148 @ X147)=>(in @ X148 @ X145)))))&![X149:$i, X150:$i]:((((in @ X149 @ X145)&(in @ X150 @ X145))=>(![X151:$i]:(((in @ X151 @ X146)=>((in @ X149 @ X151)<=>(in @ X150 @ X151))))=>((X149)=(X150))))))&![X152:$i, X153:$i]:((((in @ X152 @ X146)&(in @ X153 @ X146))=>(![X154:$i]:(((in @ X154 @ X152)=>(in @ X154 @ X153)))|![X155:$i]:(((in @ X155 @ X153)=>(in @ X155 @ X152)))))))&![X156:$i]:(((![X157:$i]:(((in @ X157 @ X156)=>(in @ X157 @ X145)))&?[X158:$i]:((in @ X158 @ X156)))=>?[X159:$i, X160:$i]:(((((in @ X159 @ X146)&(in @ X160 @ X156))&~(?[X161:$i]:(((in @ X161 @ X159)&(in @ X161 @ X156)))))&![X162:$i]:(((in @ X162 @ X146)=>(![X163:$i]:(((in @ X163 @ X162)=>(in @ X163 @ X159)))|(in @ X160 @ X162)))))))))))), introduced(definition)). 0.19/0.47 thf(c_0_62, negated_conjecture, ~((![X125:$i, X126:$i]:((![X127:$i]:(((in @ X127 @ X125)<=>(in @ X127 @ X126)))=>((X125)=(X126))))=>(![X234:$i]:(~(in @ X234 @ emptyset))=>(![X128:$i, X129:$i, X130:$i]:(((in @ X130 @ (setadjoin @ X128 @ X129))<=>(((X130)=(X128))|(in @ X130 @ X129))))=>(![X131:$i, X132:$i]:(((in @ X132 @ (powerset @ X131))<=>![X133:$i]:(((in @ X133 @ X132)=>(in @ X133 @ X131)))))=>(![X231:$i, X232:$i]:(((in @ X232 @ (setunion @ X231))<=>?[X233:$i]:(((in @ X232 @ X233)&(in @ X233 @ X231)))))=>((in @ emptyset @ omega)=>(![X230:$i]:(((in @ X230 @ omega)=>(in @ (setadjoin @ X230 @ X230) @ omega)))=>(![X134:$i]:((((in @ emptyset @ X134)&![X135:$i]:((((in @ X135 @ omega)&(in @ X135 @ X134))=>(in @ (setadjoin @ X135 @ X135) @ X134))))=>![X136:$i]:(((in @ X136 @ omega)=>(in @ X136 @ X134)))))=>(![X137:$i > $i > $o, X138:$i]:((![X139:$i]:(((in @ X139 @ X138)=>?[X140:$i]:(((X137 @ X139 @ X140)&![X141:$i]:(((X137 @ X139 @ X141)=>((X140)=(X141))))))))=>?[X142:$i]:(![X143:$i]:(((in @ X143 @ X142)<=>?[X144:$i]:(((in @ X144 @ X138)&(X137 @ X144 @ X143))))))))=>(![X226:$i]:((?[X227:$i]:((in @ X227 @ X226))=>?[X228:$i]:(((in @ X228 @ X226)&~(?[X229:$i]:(((in @ X229 @ X228)&(in @ X229 @ X226))))))))=>((epred1_0)=>(![X223:$i > $o]:((?[X224:$i]:(((X223 @ X224)&![X225:$i]:(((X223 @ X225)=>((X224)=(X225))))))=>(X223 @ (descr @ (^[Z0:$i]:((X223 @ Z0)))))))=>(![X220:$i, X221:$i > $o, X222:$i]:(((in @ X222 @ X220)=>((X221 @ X222)=>(in @ X222 @ (dsetconstr @ X220 @ (^[Z0:$i]:((X221 @ Z0))))))))=>(![X164:$i, X165:$i > $o, X166:$i]:(((in @ X166 @ (dsetconstr @ X164 @ (^[Z0:$i]:((X165 @ Z0)))))=>(in @ X166 @ X164)))=>(![X217:$i, X218:$i > $o, X219:$i]:(((in @ X219 @ (dsetconstr @ X217 @ (^[Z0:$i]:((X218 @ Z0)))))=>(X218 @ X219)))=>(![X167:$i > $o]:((?[X168:$i]:(((X167 @ X168)&![X169:$i]:(((X167 @ X169)=>((X168)=(X169))))))=>?[X170:$i]:(((X167 @ X170)&![X171:$i]:(((X167 @ X171)=>((X170)=(X171))))))))=>(![X215:$o, X216:$i]:(((in @ X216 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X215)))))=>(X215)))=>(![X213:$i]:(((in @ X213 @ emptyset)=>![X214:$o]:((X214))))=>(![X172:$i]:(~(in @ X172 @ emptyset))=>(![X173:$i]:(~(in @ X173 @ emptyset))=>(![X174:$i > $o]:((?[X175:$i]:(((X174 @ X175)&![X176:$i]:(((X174 @ X176)=>((X175)=(X176))))))=>?[X177:$i]:((X174 @ X177))))=>(![X209:$i, X210:$i]:((![X211:$i]:(((in @ X211 @ X209)=>(in @ X211 @ X210)))=>(![X212:$i]:(((in @ X212 @ X210)=>(in @ X212 @ X209)))=>((X209)=(X210)))))=>(![X207:$i]:((![X208:$i]:(~(in @ X208 @ X207))=>((X207)=(emptyset))))=>(![X178:$i]:((![X179:$i]:(~(in @ X179 @ X178))=>((X178)=(emptyset))))=>(![X204:$i, X205:$i > $o, X206:$i]:(((in @ X206 @ X204)=>((in @ X206 @ (dsetconstr @ X204 @ (^[Z0:$i]:((X205 @ Z0)))))<=>(X205 @ X206))))=>(![X202:$i]:((((X202)!=(emptyset))=>?[X203:$i]:((in @ X203 @ X202))))=>(![X199:$i, X200:$i > $o, X201:$i]:(((in @ X201 @ X199)=>((X200 @ X201)=>((dsetconstr @ X199 @ (^[Z0:$i]:((X200 @ Z0))))!=(emptyset)))))=>(![X197:$i]:((?[X198:$i]:((in @ X198 @ X197))=>((X197)!=(emptyset))))=>(![X180:$i, X181:$i]:((in @ X180 @ (setadjoin @ X180 @ X181)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X194:$i, X195:$i, X196:$i]:(((in @ X196 @ X195)=>(in @ X196 @ (setadjoin @ X194 @ X195))))=>(![X190:$i, X191:$i, X192:$i]:(((in @ X192 @ (setadjoin @ X190 @ X191))=>![X193:$o]:(((((X192)=(X190))=>(X193))=>(((in @ X192 @ X191)=>(X193))=>(X193))))))=>(![X182:$i, X183:$i, X184:$i]:(((in @ X184 @ (setadjoin @ X182 @ X183))=>(((X184)=(X182))|(in @ X184 @ X183))))=>(![X189:$i]:(((dsetconstr @ X189 @ (^[Z0:$i]:(($true))))=(X189)))=>(![X186:$i, X187:$i]:((![X188:$i]:(((in @ X188 @ X187)=>(in @ X188 @ X186)))=>(in @ X187 @ (powerset @ X186))))=>(![X185:$i]:((in @ emptyset @ (powerset @ X185)))=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[emptyInPowerset]), emptysetAx]), c_0_48]), c_0_49]), c_0_50]), emptysetimpfalse]), c_0_51]), foundationAx]), notinemptyset]), omegaSAx]), omega0Ax]), c_0_52]), setunionAx]), noeltsimpempty]), setadjoinIL]), emptyinunitempty]), setadjoinOr]), emptyinPowerset]), powersetAx]), powersetI]), c_0_53]), setadjoinE]), setadjoinIR]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), emptyI]), setext]), emptysetE]), c_0_58]), c_0_59]), wellorderingAx]), c_0_60]), omegaIndAx]), setadjoinAx]), setextAx])]), c_0_61])). 0.19/0.47 thf(c_0_63, negated_conjecture, ![X235:$i, X236:$i, X238:$i, X239:$i, X240:$i, X241:$i, X242:$i, X243:$i, X244:$i, X245:$i, X246:$i, X248:$i, X249:$i, X251:$i, X252:$i, X253:$i, X254:$i, X255:$i, X257:$i, X258:$i > $i > $o, X259:$i, X261:$i, X264:$i, X266:$i, X267:$i, X268:$i, X269:$i, X271:$i, X272:$i > $o, X273:$i, X275:$i, X276:$i > $o, X277:$i, X278:$i, X279:$i > $o, X280:$i, X281:$i, X282:$i > $o, X283:$i, X284:$i > $o, X285:$i, X288:$i, X289:$o, X290:$i, X291:$i, X292:$o, X293:$i, X294:$i, X295:$i > $o, X296:$i, X299:$i, X300:$i, X303:$i, X305:$i, X307:$i, X308:$i > $o, X309:$i, X310:$i, X312:$i, X313:$i > $o, X314:$i, X315:$i, X316:$i, X317:$i, X318:$i, X319:$i, X320:$i, X321:$i, X322:$i, X323:$i, X324:$i, X325:$o, X326:$i, X327:$i, X328:$i, X329:$i, X330:$i, X331:$i, X333:$i]:((((~(in @ (esk1_2 @ X235 @ X236) @ X235)|~(in @ (esk1_2 @ X235 @ X236) @ X236)|((X235)=(X236)))&((in @ (esk1_2 @ X235 @ X236) @ X235)|(in @ (esk1_2 @ X235 @ X236) @ X236)|((X235)=(X236))))&(~(in @ X238 @ emptyset)&(((~(in @ X241 @ (setadjoin @ X239 @ X240))|(((X241)=(X239))|(in @ X241 @ X240)))&((((X241)!=(X239))|(in @ X241 @ (setadjoin @ X239 @ X240)))&(~(in @ X241 @ X240)|(in @ X241 @ (setadjoin @ X239 @ X240)))))&(((~(in @ X243 @ (powerset @ X242))|(~(in @ X244 @ X243)|(in @ X244 @ X242)))&(((in @ (esk2_2 @ X245 @ X246) @ X246)|(in @ X246 @ (powerset @ X245)))&(~(in @ (esk2_2 @ X245 @ X246) @ X245)|(in @ X246 @ (powerset @ X245)))))&(((((in @ X249 @ (esk3_2 @ X248 @ X249))|~(in @ X249 @ (setunion @ X248)))&((in @ (esk3_2 @ X248 @ X249) @ X248)|~(in @ X249 @ (setunion @ X248))))&(~(in @ X252 @ X253)|~(in @ X253 @ X251)|(in @ X252 @ (setunion @ X251))))&((in @ emptyset @ omega)&((~(in @ X254 @ omega)|(in @ (setadjoin @ X254 @ X254) @ omega))&(((((in @ (esk4_1 @ X255) @ omega)|~(in @ emptyset @ X255)|(~(in @ X257 @ omega)|(in @ X257 @ X255)))&((in @ (esk4_1 @ X255) @ X255)|~(in @ emptyset @ X255)|(~(in @ X257 @ omega)|(in @ X257 @ X255))))&(~(in @ (setadjoin @ (esk4_1 @ X255) @ (esk4_1 @ X255)) @ X255)|~(in @ emptyset @ X255)|(~(in @ X257 @ omega)|(in @ X257 @ X255))))&((((((in @ (esk8_3 @ X258 @ X259 @ X264) @ X259)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|(in @ (esk5_2 @ X258 @ X259) @ X259))&((X258 @ (esk8_3 @ X258 @ X259 @ X264) @ X264)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|(in @ (esk5_2 @ X258 @ X259) @ X259)))&(~(in @ X267 @ X259)|~(X258 @ X267 @ X266)|(in @ X266 @ (esk7_2 @ X258 @ X259))|(in @ (esk5_2 @ X258 @ X259) @ X259)))&(((((in @ (esk8_3 @ X258 @ X259 @ X264) @ X259)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|((X258 @ (esk5_2 @ X258 @ X259) @ (esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261)))&((X258 @ (esk8_3 @ X258 @ X259 @ X264) @ X264)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|((X258 @ (esk5_2 @ X258 @ X259) @ (esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261))))&(~(in @ X267 @ X259)|~(X258 @ X267 @ X266)|(in @ X266 @ (esk7_2 @ X258 @ X259))|((X258 @ (esk5_2 @ X258 @ X259) @ (esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261))))&((((in @ (esk8_3 @ X258 @ X259 @ X264) @ X259)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|(((X261)!=(esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261)))&((X258 @ (esk8_3 @ X258 @ X259 @ X264) @ X264)|~(in @ X264 @ (esk7_2 @ X258 @ X259))|(((X261)!=(esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261))))&(~(in @ X267 @ X259)|~(X258 @ X267 @ X266)|(in @ X266 @ (esk7_2 @ X258 @ X259))|(((X261)!=(esk6_3 @ X258 @ X259 @ X261))|~(X258 @ (esk5_2 @ X258 @ X259) @ X261))))))&((((in @ (esk9_1 @ X268) @ X268)|~(in @ X269 @ X268))&(~(in @ X271 @ (esk9_1 @ X268))|~(in @ X271 @ X268)|~(in @ X269 @ X268)))&((epred1_0)&((((X272 @ (esk10_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (descr @ (^[Z0:$i]:((X272 @ Z0))))))&(((X273)!=(esk10_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (descr @ (^[Z0:$i]:((X272 @ Z0)))))))&((~(in @ X277 @ X275)|(~(X276 @ X277)|(in @ X277 @ (dsetconstr @ X275 @ (^[Z0:$i]:((X276 @ Z0)))))))&((~(in @ X280 @ (dsetconstr @ X278 @ (^[Z0:$i]:((X279 @ Z0)))))|(in @ X280 @ X278))&((~(in @ X283 @ (dsetconstr @ X281 @ (^[Z0:$i]:((X282 @ Z0)))))|(X282 @ X283))&(((((X284 @ (esk12_1 @ X284))|((X284 @ (esk11_2 @ X284 @ X285))|~(X284 @ X285)))&(~(X284 @ X288)|((esk12_1 @ X284)=(X288))|((X284 @ (esk11_2 @ X284 @ X285))|~(X284 @ X285))))&(((X284 @ (esk12_1 @ X284))|(((X285)!=(esk11_2 @ X284 @ X285))|~(X284 @ X285)))&(~(X284 @ X288)|((esk12_1 @ X284)=(X288))|(((X285)!=(esk11_2 @ X284 @ X285))|~(X284 @ X285)))))&((~(in @ X290 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X289)))))|(X289))&((~(in @ X291 @ emptyset)|(X292))&(~(in @ X293 @ emptyset)&(~(in @ X294 @ emptyset)&((((X295 @ (esk13_2 @ X295 @ X296))|~(X295 @ X296)|(X295 @ (esk14_1 @ X295)))&(((X296)!=(esk13_2 @ X295 @ X296))|~(X295 @ X296)|(X295 @ (esk14_1 @ X295))))&(((((in @ (esk16_2 @ X299 @ X300) @ X300)|((X299)=(X300))|(in @ (esk15_2 @ X299 @ X300) @ X299))&(~(in @ (esk16_2 @ X299 @ X300) @ X299)|((X299)=(X300))|(in @ (esk15_2 @ X299 @ X300) @ X299)))&(((in @ (esk16_2 @ X299 @ X300) @ X300)|((X299)=(X300))|~(in @ (esk15_2 @ X299 @ X300) @ X300))&(~(in @ (esk16_2 @ X299 @ X300) @ X299)|((X299)=(X300))|~(in @ (esk15_2 @ X299 @ X300) @ X300))))&(((in @ (esk17_1 @ X303) @ X303)|((X303)=(emptyset)))&(((in @ (esk18_1 @ X305) @ X305)|((X305)=(emptyset)))&(((~(in @ X309 @ (dsetconstr @ X307 @ (^[Z0:$i]:((X308 @ Z0)))))|(X308 @ X309)|~(in @ X309 @ X307))&(~(X308 @ X309)|(in @ X309 @ (dsetconstr @ X307 @ (^[Z0:$i]:((X308 @ Z0)))))|~(in @ X309 @ X307)))&((((X310)=(emptyset))|(in @ (esk19_1 @ X310) @ X310))&((~(in @ X314 @ X312)|(~(X313 @ X314)|((dsetconstr @ X312 @ (^[Z0:$i]:((X313 @ Z0))))!=(emptyset))))&((~(in @ X316 @ X315)|((X315)!=(emptyset)))&((in @ X317 @ (setadjoin @ X317 @ X318))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X321 @ X320)|(in @ X321 @ (setadjoin @ X319 @ X320)))&(((((in @ X324 @ X323)|(X325)|((X324)=(X322))|~(in @ X324 @ (setadjoin @ X322 @ X323)))&(~(X325)|(X325)|((X324)=(X322))|~(in @ X324 @ (setadjoin @ X322 @ X323))))&(((in @ X324 @ X323)|(X325)|~(X325)|~(in @ X324 @ (setadjoin @ X322 @ X323)))&(~(X325)|(X325)|~(X325)|~(in @ X324 @ (setadjoin @ X322 @ X323)))))&((~(in @ X328 @ (setadjoin @ X326 @ X327))|(((X328)=(X326))|(in @ X328 @ X327)))&(((dsetconstr @ X329 @ (^[Z0:$i]:(($true))))=(X329))&((((in @ (esk20_2 @ X330 @ X331) @ X331)|(in @ X331 @ (powerset @ X330)))&(~(in @ (esk20_2 @ X330 @ X331) @ X330)|(in @ X331 @ (powerset @ X330))))&((in @ emptyset @ (powerset @ X333))&~(in @ emptyset @ (powerset @ esk21_0))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])])])). 0.19/0.47 thf(c_0_64, negated_conjecture, ~((in @ emptyset @ (powerset @ esk21_0))), inference(split_conjunct,[status(thm)],[c_0_63])). 0.19/0.47 thf(c_0_65, negated_conjecture, ![X2:$i]:((in @ emptyset @ (powerset @ X2))), inference(split_conjunct,[status(thm)],[c_0_63])). 0.19/0.47 thf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])]), ['proof']). 0.19/0.47 # SZS output end CNFRefutation 0.19/0.47 # Parsed axioms : 87 0.19/0.47 # Removed by relevancy pruning/SinE : 47 0.19/0.47 # Initial clauses : 81 0.19/0.47 # Removed in clause preprocessing : 3 0.19/0.47 # Initial clauses in saturation : 78 0.19/0.47 # Processed clauses : 9 0.19/0.47 # ...of these trivial : 0 0.19/0.47 # ...subsumed : 3 0.19/0.47 # ...remaining for further processing : 6 0.19/0.47 # Other redundant clauses eliminated : 0 0.19/0.47 # Clauses deleted for lack of memory : 0 0.19/0.47 # Backward-subsumed : 0 0.19/0.47 # Backward-rewritten : 1 0.19/0.47 # Generated clauses : 0 0.19/0.47 # ...of the previous two non-redundant : 0 0.19/0.47 # ...aggressively subsumed : 0 0.19/0.47 # Contextual simplify-reflections : 0 0.19/0.47 # Paramodulations : 0 0.19/0.47 # Factorizations : 0 0.19/0.47 # NegExts : 0 0.19/0.47 # Equation resolutions : 0 0.19/0.47 # Propositional unsat checks : 0 0.19/0.47 # Propositional check models : 0 0.19/0.47 # Propositional check unsatisfiable : 0 0.19/0.47 # Propositional clauses : 0 0.19/0.47 # Propositional clauses after purity: 0 0.19/0.47 # Propositional unsat core size : 0 0.19/0.47 # Propositional preprocessing time : 0.000 0.19/0.47 # Propositional encoding time : 0.000 0.19/0.47 # Propositional solver time : 0.000 0.19/0.47 # Success case prop preproc time : 0.000 0.19/0.47 # Success case prop encoding time : 0.000 0.19/0.47 # Success case prop solver time : 0.000 0.19/0.47 # Current number of processed clauses : 5 0.19/0.47 # Positive orientable unit clauses : 4 0.19/0.47 # Positive unorientable unit clauses: 0 0.19/0.47 # Negative unit clauses : 1 0.19/0.47 # Non-unit-clauses : 0 0.19/0.47 # Current number of unprocessed clauses: 69 0.19/0.47 # ...number of literals in the above : 227 0.19/0.47 # Current number of archived formulas : 0 0.19/0.47 # Current number of archived clauses : 1 0.19/0.47 # Clause-clause subsumption calls (NU) : 0 0.19/0.47 # Rec. Clause-clause subsumption calls : 0 0.19/0.47 # Non-unit clause-clause subsumptions : 0 0.19/0.47 # Unit Clause-clause subsumption calls : 1 0.19/0.47 # Rewrite failures with RHS unbound : 0 0.19/0.47 # BW rewrite match attempts : 1 0.19/0.47 # BW rewrite match successes : 1 0.19/0.47 # Condensation attempts : 9 0.19/0.47 # Condensation successes : 0 0.19/0.47 # Termbank termtop insertions : 9196 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.006 s 0.19/0.47 # System time : 0.005 s 0.19/0.47 # Total time : 0.011 s 0.19/0.47 # Maximum resident set size: 2788 pages 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.009 s 0.19/0.47 # System time : 0.006 s 0.19/0.47 # Total time : 0.015 s 0.19/0.47 # Maximum resident set size: 1816 pages 0.19/0.47 EOF