0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.13 % 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 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Jul 13 11:13:29 EDT 2021 0.12/0.33 % CPUTime : 0.12/0.33 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 # Version: 2.6rc1-ho 0.12/0.34 # No SInE strategy applied 0.12/0.34 # Trying AutoSched0 for 59 seconds 0.46/0.64 # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y 0.46/0.64 # and selection function SelectMaxLComplexAvoidPosPred. 0.46/0.64 # 0.46/0.64 # Preprocessing time : 0.050 s 0.46/0.64 0.46/0.64 # Proof found! 0.46/0.64 # SZS status Theorem 0.46/0.64 # SZS output start CNFRefutation 0.46/0.64 thf(thm_2Earithmetic_2EMOD__UNIQUE, axiom, ![X36:mono_2Etyop_2Enum_2Enum, X55:mono_2Etyop_2Enum_2Enum, X56:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X55 @ X36)=(X56)<=?[X57:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ X56 @ X36&(X55)=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X57 @ X36) @ X56))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EMOD__UNIQUE)). 0.46/0.64 thf(thm_2Earithmetic_2EADD1, axiom, ![X10:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Enum_2ESUC @ X10)=(mono_2Ec_2Earithmetic_2E_2B @ X10 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EADD1)). 0.46/0.64 thf(thm_2Ebool_2ECOND__CLAUSES, axiom, ![X2:d, X73:u, X74:u]:((s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2EF))) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X74)&(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2ET))) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2ECOND__CLAUSES)). 0.46/0.64 thf(thm_2Ebool_2EIMP__CLAUSES, axiom, ![X16:$o]:(((((X16<=>(mono_2Ec_2Ebool_2ET=>X16))&((mono_2Ec_2Ebool_2ET<=X16)<=>mono_2Ec_2Ebool_2ET))&(mono_2Ec_2Ebool_2ET<=>(mono_2Ec_2Ebool_2EF=>X16)))&(mono_2Ec_2Ebool_2ET<=>(X16<=X16)))&((X16=>mono_2Ec_2Ebool_2EF)<=>~(X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2EIMP__CLAUSES)). 0.46/0.64 thf(thm_2Ebool_2EIMP__F, axiom, ![X16:$o]:((X16=>mono_2Ec_2Ebool_2EF)=>~(X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2EIMP__F)). 0.46/0.64 thf(thm_2Earithmetic_2EONE, axiom, (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EONE)). 0.46/0.64 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum, axiom, ![X7:$o, X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (X7) @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X7))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum)). 0.46/0.64 thf(thm_2Earithmetic_2ELESS__MONO__EQ, axiom, ![X10:mono_2Etyop_2Enum_2Enum, X11:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X10) @ (mono_2Ec_2Enum_2ESUC @ X11)<=>mono_2Ec_2Eprim__rec_2E_3C @ X10 @ X11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2ELESS__MONO__EQ)). 0.46/0.64 thf(thm_2Earithmetic_2EMOD__2, conjecture, ![X36:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2EMOD @ X36 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X36) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EMOD__2)). 0.46/0.64 thf(thm_2Earithmetic_2ETWO, axiom, (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2ETWO)). 0.46/0.64 thf(thm_2Eprim__rec_2ELESS__0, axiom, ![X36:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X36), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eprim__rec_2ELESS__0)). 0.46/0.64 thf(thm_2Earithmetic_2EMULT__COMM, axiom, ![X10:mono_2Etyop_2Enum_2Enum, X11:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2A @ X10 @ X11)=(mono_2Ec_2Earithmetic_2E_2A @ X11 @ X10), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EMULT__COMM)). 0.46/0.64 thf(thm_2Earithmetic_2EEVEN__EXISTS, axiom, ![X36:mono_2Etyop_2Enum_2Enum]:(?[X58:mono_2Etyop_2Enum_2Enum]:(X36)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X58)<=>mono_2Ec_2Earithmetic_2EEVEN @ X36), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EEVEN__EXISTS)). 0.46/0.64 thf(ji_2Emono_2Etyop_2Enum_2Enum, axiom, ![X59:mono_2Etyop_2Enum_2Enum]:(j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X59)))=(X59), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ji_2Emono_2Etyop_2Enum_2Enum)). 0.46/0.64 thf(thm_2Earithmetic_2EADD__0, axiom, ![X10:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2B @ X10 @ mono_2Ec_2Enum_2E0)=(X10), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EADD__0)). 0.46/0.64 thf(thm_2Earithmetic_2EODD__EXISTS, axiom, ![X36:mono_2Etyop_2Enum_2Enum]:(?[X58:mono_2Etyop_2Enum_2Enum]:(X36)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X58))<=>mono_2Ec_2Earithmetic_2EODD @ X36), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EODD__EXISTS)). 0.46/0.64 thf(thm_2Earithmetic_2EODD__EVEN, axiom, ![X36:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2EODD @ X36<=>~(mono_2Ec_2Earithmetic_2EEVEN @ X36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Earithmetic_2EODD__EVEN)). 0.46/0.64 thf(c_0_17, plain, ![X36:mono_2Etyop_2Enum_2Enum, X55:mono_2Etyop_2Enum_2Enum, X56:mono_2Etyop_2Enum_2Enum]:(?[X57:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ X56 @ X36&(X55)=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X57 @ X36) @ X56))=>(mono_2Ec_2Earithmetic_2EMOD @ X55 @ X36)=(X56)), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EMOD__UNIQUE])). 0.46/0.64 thf(c_0_18, plain, ![X631:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Enum_2ESUC @ X631)=(mono_2Ec_2Earithmetic_2E_2B @ X631 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EADD1])). 0.46/0.64 thf(c_0_19, axiom, ![X2:d, X73:u, X74:u]:(((~mono_2Ec_2Ebool_2EF|(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X74))&(mono_2Ec_2Ebool_2EF|(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X74)))&((~mono_2Ec_2Ebool_2ET|(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X73))&(mono_2Ec_2Ebool_2ET|(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X2 @ X73) @ (s @ X2 @ X74)))=(s @ X2 @ X73)))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES])). 0.46/0.64 thf(c_0_20, plain, ![X16:$o]:(((((X16<=>(mono_2Ec_2Ebool_2ET=>X16))&((X16=>mono_2Ec_2Ebool_2ET)<=>mono_2Ec_2Ebool_2ET))&(mono_2Ec_2Ebool_2ET<=>(mono_2Ec_2Ebool_2EF=>X16)))&mono_2Ec_2Ebool_2ET)&((X16=>mono_2Ec_2Ebool_2EF)<=>~X16)), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES])). 0.46/0.64 thf(c_0_21, plain, ![X16:$o]:((X16=>mono_2Ec_2Ebool_2EF)=>~X16), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__F])). 0.46/0.64 thf(c_0_22, plain, ![X492:mono_2Etyop_2Enum_2Enum, X493:mono_2Etyop_2Enum_2Enum, X494:mono_2Etyop_2Enum_2Enum, X495:mono_2Etyop_2Enum_2Enum]:(~mono_2Ec_2Eprim__rec_2E_3C @ X494 @ X492|(X493)!=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X495 @ X492) @ X494)|(mono_2Ec_2Earithmetic_2EMOD @ X493 @ X492)=(X494)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 0.46/0.64 thf(c_0_23, plain, ![X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Enum_2ESUC @ X8)=(mono_2Ec_2Earithmetic_2E_2B @ X8 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.46/0.64 thf(c_0_24, plain, (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2EONE])). 0.46/0.64 thf(c_0_25, axiom, ![X7:$o, X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((~X7|((~X7|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))))&(X7|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))))))&(X7|((~X7|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))))&(X7|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum])). 0.46/0.64 thf(c_0_26, plain, ![X558:d, X559:u, X560:u]:(((~mono_2Ec_2Ebool_2EF|(s @ X558 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X558 @ X559) @ (s @ X558 @ X560)))=(s @ X558 @ X560))&(mono_2Ec_2Ebool_2EF|(s @ X558 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X558 @ X559) @ (s @ X558 @ X560)))=(s @ X558 @ X560)))&((~mono_2Ec_2Ebool_2ET|(s @ X558 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X558 @ X559) @ (s @ X558 @ X560)))=(s @ X558 @ X559))&(mono_2Ec_2Ebool_2ET|(s @ X558 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X558 @ X559) @ (s @ X558 @ X560)))=(s @ X558 @ X559)))), inference(variable_rename,[status(thm)],[c_0_19])). 0.46/0.64 thf(c_0_27, plain, ![X425:$o]:((((((~X425|(~mono_2Ec_2Ebool_2ET|X425))&((mono_2Ec_2Ebool_2ET|X425)&(~X425|X425)))&(((X425|mono_2Ec_2Ebool_2ET)&(~mono_2Ec_2Ebool_2ET|mono_2Ec_2Ebool_2ET))&(~mono_2Ec_2Ebool_2ET|(~X425|mono_2Ec_2Ebool_2ET))))&((~mono_2Ec_2Ebool_2ET|(~mono_2Ec_2Ebool_2EF|X425))&((mono_2Ec_2Ebool_2EF|mono_2Ec_2Ebool_2ET)&(~X425|mono_2Ec_2Ebool_2ET))))&mono_2Ec_2Ebool_2ET)&(((X425|~X425)&(~mono_2Ec_2Ebool_2EF|~X425))&(X425|(~X425|mono_2Ec_2Ebool_2EF)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])). 0.46/0.64 thf(c_0_28, plain, ![X366:$o]:((X366|~X366)&(~mono_2Ec_2Ebool_2EF|~X366)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])). 0.46/0.64 thf(c_0_29, plain, ![X9:mono_2Etyop_2Enum_2Enum, X11:mono_2Etyop_2Enum_2Enum, X10:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X10 @ X9)=(X8)|~mono_2Ec_2Eprim__rec_2E_3C @ X8 @ X9|(X10)!=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X11 @ X9) @ X8)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.46/0.64 thf(c_0_30, plain, ![X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2B @ X8 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ X8), inference(rw,[status(thm)],[c_0_23, c_0_24])). 0.46/0.64 thf(c_0_31, plain, ![X352:mono_2Etyop_2Enum_2Enum, X353:mono_2Etyop_2Enum_2Enum]:((~mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X352) @ (mono_2Ec_2Enum_2ESUC @ X353)|mono_2Ec_2Eprim__rec_2E_3C @ X352 @ X353)&(~mono_2Ec_2Eprim__rec_2E_3C @ X352 @ X353|mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X352) @ (mono_2Ec_2Enum_2ESUC @ X353))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2ELESS__MONO__EQ])])). 0.46/0.64 thf(c_0_32, negated_conjecture, ~(![X36:mono_2Etyop_2Enum_2Enum]:((~mono_2Ec_2Earithmetic_2EEVEN @ X36|(mono_2Ec_2Earithmetic_2EMOD @ X36 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))&(mono_2Ec_2Earithmetic_2EEVEN @ X36|(mono_2Ec_2Earithmetic_2EMOD @ X36 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Earithmetic_2EMOD__2])])). 0.46/0.64 thf(c_0_33, plain, ![X349:$o, X350:mono_2Etyop_2Enum_2Enum, X351:mono_2Etyop_2Enum_2Enum]:(((~X349|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X350 @ X351)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X350)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X351))))|~X349)&(X349|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X350 @ X351)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X350)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X351))))|~X349))&((~X349|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X350 @ X351)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X350)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X351))))|X349)&(X349|(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X350 @ X351)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X350)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X351))))|X349))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])). 0.46/0.64 thf(c_0_34, plain, ![X2:d, X4:u, X3:u]:((s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X2 @ X3) @ (s @ X2 @ X4)))=(s @ X2 @ X3)|~mono_2Ec_2Ebool_2ET), inference(split_conjunct,[status(thm)],[c_0_26])). 0.46/0.64 thf(c_0_35, plain, mono_2Ec_2Ebool_2ET, inference(split_conjunct,[status(thm)],[c_0_27])). 0.46/0.64 thf(c_0_36, plain, ![X2:d, X3:u, X4:u]:(mono_2Ec_2Ebool_2EF|(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X2 @ X3) @ (s @ X2 @ X4)))=(s @ X2 @ X4)), inference(split_conjunct,[status(thm)],[c_0_26])). 0.46/0.64 thf(c_0_37, plain, ~mono_2Ec_2Ebool_2EF, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_28])])])). 0.46/0.64 thf(c_0_38, plain, ![X10:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ X9)=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)|(X8)!=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ X10 @ X9))|~mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ X9), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.46/0.64 thf(c_0_39, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X8) @ (mono_2Ec_2Enum_2ESUC @ X9)|~mono_2Ec_2Eprim__rec_2E_3C @ X8 @ X9), inference(split_conjunct,[status(thm)],[c_0_31])). 0.46/0.64 thf(c_0_40, plain, (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2ETWO])). 0.46/0.64 thf(c_0_41, plain, ![X514:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X514), inference(variable_rename,[status(thm)],[thm_2Eprim__rec_2ELESS__0])). 0.46/0.64 thf(c_0_42, plain, ![X483:mono_2Etyop_2Enum_2Enum, X484:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2A @ X483 @ X484)=(mono_2Ec_2Earithmetic_2E_2A @ X484 @ X483), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EMULT__COMM])). 0.46/0.64 thf(c_0_43, plain, ![X561:mono_2Etyop_2Enum_2Enum, X562:mono_2Etyop_2Enum_2Enum, X563:mono_2Etyop_2Enum_2Enum]:(((X561)!=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X562)|mono_2Ec_2Earithmetic_2EEVEN @ X561)&(~mono_2Ec_2Earithmetic_2EEVEN @ X563|(X563)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk18_1 @ X563)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2EEVEN__EXISTS])])])])])). 0.46/0.64 thf(c_0_44, negated_conjecture, (((~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|mono_2Ec_2Earithmetic_2EEVEN @ esk11_0)&((mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))|mono_2Ec_2Earithmetic_2EEVEN @ esk11_0))&((~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))&((mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])). 0.46/0.64 thf(c_0_45, plain, ![X503:mono_2Etyop_2Enum_2Enum]:(j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X503)))=(X503), inference(variable_rename,[status(thm)],[ji_2Emono_2Etyop_2Enum_2Enum])). 0.46/0.64 thf(c_0_46, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_33])])])). 0.46/0.64 thf(c_0_47, plain, ![X2:d, X4:u, X3:u]:(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X2 @ X3) @ (s @ X2 @ X4)))=(s @ X2 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])). 0.46/0.64 thf(c_0_48, plain, ![X393:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2B @ X393 @ mono_2Ec_2Enum_2E0)=(X393), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EADD__0])). 0.46/0.64 thf(c_0_49, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)))), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_33])])])). 0.46/0.64 thf(c_0_50, plain, ![X2:d, X3:u, X4:u]:(s @ X2 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X2 @ X3) @ (s @ X2 @ X4)))=(s @ X2 @ X4), inference(sr,[status(thm)],[c_0_36, c_0_37])). 0.46/0.64 thf(c_0_51, plain, ![X10:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ (mono_2Ec_2Enum_2ESUC @ X9))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)|(X8)!=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ X10 @ (mono_2Ec_2Enum_2ESUC @ X9)))|~mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X9), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.46/0.64 thf(c_0_52, plain, (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)), inference(rw,[status(thm)],[c_0_40, c_0_24])). 0.46/0.64 thf(c_0_53, plain, ![X8:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X8), inference(split_conjunct,[status(thm)],[c_0_41])). 0.46/0.64 thf(c_0_54, plain, ![X9:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2A @ X8 @ X9)=(mono_2Ec_2Earithmetic_2E_2A @ X9 @ X8), inference(split_conjunct,[status(thm)],[c_0_42])). 0.46/0.64 thf(c_0_55, plain, ![X8:mono_2Etyop_2Enum_2Enum]:((X8)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk18_1 @ X8))|~mono_2Ec_2Earithmetic_2EEVEN @ X8), inference(split_conjunct,[status(thm)],[c_0_43])). 0.46/0.64 thf(c_0_56, negated_conjecture, (~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.46/0.64 thf(c_0_57, plain, ![X8:mono_2Etyop_2Enum_2Enum]:(j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)))=(X8), inference(split_conjunct,[status(thm)],[c_0_45])). 0.46/0.64 thf(c_0_58, plain, ![X9:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum]:(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8)), inference(rw,[status(thm)],[c_0_46, c_0_47])). 0.46/0.64 thf(c_0_59, plain, ![X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_2B @ X8 @ mono_2Ec_2Enum_2E0)=(X8), inference(split_conjunct,[status(thm)],[c_0_48])). 0.46/0.64 thf(c_0_60, negated_conjecture, (mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.46/0.64 thf(c_0_61, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X8 @ X9)))=(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)), inference(rw,[status(thm)],[c_0_49, c_0_50])). 0.46/0.64 thf(c_0_62, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)|(X8)!=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ X9 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])])). 0.46/0.64 thf(c_0_63, plain, ![X8:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2E_2A @ (esk18_1 @ X8) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(X8)|~mono_2Ec_2Earithmetic_2EEVEN @ X8), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.46/0.64 thf(c_0_64, plain, ![X496:mono_2Etyop_2Enum_2Enum, X497:mono_2Etyop_2Enum_2Enum, X498:mono_2Etyop_2Enum_2Enum]:(((X496)!=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X497))|mono_2Ec_2Earithmetic_2EODD @ X496)&(~mono_2Ec_2Earithmetic_2EODD @ X498|(X498)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk10_1 @ X498))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2EODD__EXISTS])])])])])). 0.46/0.64 thf(c_0_65, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2EEVEN @ X8|(X8)!=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X9)), inference(split_conjunct,[status(thm)],[c_0_43])). 0.46/0.64 thf(c_0_66, negated_conjecture, ((mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))|~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0), inference(rw,[status(thm)],[c_0_56, c_0_24])). 0.46/0.64 thf(c_0_67, plain, ![X9:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X8 @ X9)=(X8), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_57])). 0.46/0.64 thf(c_0_68, plain, ![X10:mono_2Etyop_2Enum_2Enum, X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ X9)=(mono_2Ec_2Enum_2E0)|(X8)!=(mono_2Ec_2Earithmetic_2E_2A @ X10 @ X9)|~mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X9), inference(spm,[status(thm)],[c_0_29, c_0_59])). 0.46/0.64 thf(c_0_69, plain, mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)), inference(spm,[status(thm)],[c_0_53, c_0_52])). 0.46/0.64 thf(c_0_70, negated_conjecture, (mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[c_0_60, c_0_24])). 0.46/0.64 thf(c_0_71, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ X8 @ X9)=(X9), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_61]), c_0_57])). 0.46/0.64 thf(c_0_72, plain, ![X8:mono_2Etyop_2Enum_2Enum, X9:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)|(X8)!=(mono_2Ec_2Enum_2ESUC @ X9)|~mono_2Ec_2Earithmetic_2EEVEN @ X9), inference(spm,[status(thm)],[c_0_62, c_0_63])). 0.46/0.64 thf(c_0_73, plain, ![X8:mono_2Etyop_2Enum_2Enum]:((X8)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk10_1 @ X8)))|~mono_2Ec_2Earithmetic_2EODD @ X8), inference(split_conjunct,[status(thm)],[c_0_64])). 0.46/0.64 thf(c_0_74, plain, ![X8:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X8), inference(er,[status(thm)],[c_0_65])). 0.46/0.64 thf(c_0_75, negated_conjecture, ((mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Enum_2E0)|~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0), inference(rw,[status(thm)],[c_0_66, c_0_67])). 0.46/0.64 thf(c_0_76, plain, ![X8:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2E0)|~mono_2Ec_2Earithmetic_2EEVEN @ X8), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_63]), c_0_69])])])). 0.46/0.64 thf(c_0_77, plain, ![X36:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2EODD @ X36<=>~mono_2Ec_2Earithmetic_2EEVEN @ X36), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EODD__EVEN])). 0.46/0.64 thf(c_0_78, negated_conjecture, (mono_2Ec_2Earithmetic_2EEVEN @ esk11_0|(mono_2Ec_2Earithmetic_2EMOD @ esk11_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), inference(rw,[status(thm)],[c_0_70, c_0_71])). 0.46/0.64 thf(c_0_79, plain, ![X8:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EMOD @ X8 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)|~mono_2Ec_2Earithmetic_2EODD @ X8), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74])])])). 0.46/0.64 thf(c_0_80, negated_conjecture, ~mono_2Ec_2Earithmetic_2EEVEN @ esk11_0, inference(spm,[status(thm)],[c_0_75, c_0_76])). 0.46/0.64 thf(c_0_81, plain, ![X399:mono_2Etyop_2Enum_2Enum]:((~mono_2Ec_2Earithmetic_2EODD @ X399|~mono_2Ec_2Earithmetic_2EEVEN @ X399)&(mono_2Ec_2Earithmetic_2EEVEN @ X399|mono_2Ec_2Earithmetic_2EODD @ X399)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])). 0.46/0.64 thf(c_0_82, negated_conjecture, ~mono_2Ec_2Earithmetic_2EODD @ esk11_0, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_80])). 0.46/0.64 thf(c_0_83, plain, ![X8:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2EEVEN @ X8|mono_2Ec_2Earithmetic_2EODD @ X8), inference(split_conjunct,[status(thm)],[c_0_81])). 0.46/0.64 thf(c_0_84, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_80]), ['proof']). 0.46/0.64 # SZS output end CNFRefutation 0.46/0.64 # Proof object total steps : 85 0.46/0.64 # Proof object clause steps : 46 0.46/0.64 # Proof object formula steps : 39 0.46/0.64 # Proof object conjectures : 12 0.46/0.64 # Proof object clause conjectures : 9 0.46/0.64 # Proof object formula conjectures : 3 0.46/0.64 # Proof object initial clauses used : 21 0.46/0.64 # Proof object initial formulas used : 17 0.46/0.64 # Proof object generating inferences : 15 0.46/0.64 # Proof object simplifying inferences : 26 0.46/0.64 # Training examples: 0 positive, 0 negative 0.46/0.64 # Parsed axioms : 215 0.46/0.64 # Removed by relevancy pruning/SinE : 0 0.46/0.64 # Initial clauses : 888 0.46/0.64 # Removed in clause preprocessing : 598 0.46/0.64 # Initial clauses in saturation : 290 0.46/0.64 # Processed clauses : 931 0.46/0.64 # ...of these trivial : 79 0.46/0.64 # ...subsumed : 410 0.46/0.64 # ...remaining for further processing : 442 0.46/0.64 # Other redundant clauses eliminated : 15 0.46/0.64 # Clauses deleted for lack of memory : 0 0.46/0.64 # Backward-subsumed : 14 0.46/0.64 # Backward-rewritten : 77 0.46/0.64 # Generated clauses : 10636 0.46/0.64 # ...of the previous two non-trivial : 9020 0.46/0.64 # Contextual simplify-reflections : 0 0.46/0.64 # Paramodulations : 10506 0.46/0.64 # Factorizations : 2 0.46/0.64 # NegExts : 7 0.46/0.64 # Equation resolutions : 45 0.46/0.64 # Propositional unsat checks : 0 0.46/0.64 # Propositional check models : 0 0.46/0.64 # Propositional check unsatisfiable : 0 0.46/0.64 # Propositional clauses : 0 0.46/0.64 # Propositional clauses after purity: 0 0.46/0.64 # Propositional unsat core size : 0 0.46/0.64 # Propositional preprocessing time : 0.000 0.46/0.64 # Propositional encoding time : 0.000 0.46/0.64 # Propositional solver time : 0.000 0.46/0.64 # Success case prop preproc time : 0.000 0.46/0.64 # Success case prop encoding time : 0.000 0.46/0.64 # Success case prop solver time : 0.000 0.46/0.64 # Current number of processed clauses : 347 0.46/0.64 # Positive orientable unit clauses : 141 0.46/0.64 # Positive unorientable unit clauses: 2 0.46/0.64 # Negative unit clauses : 25 0.46/0.64 # Non-unit-clauses : 179 0.46/0.64 # Current number of unprocessed clauses: 7928 0.46/0.64 # ...number of literals in the above : 17133 0.46/0.64 # Current number of archived formulas : 0 0.46/0.64 # Current number of archived clauses : 95 0.46/0.64 # Clause-clause subsumption calls (NU) : 5864 0.46/0.64 # Rec. Clause-clause subsumption calls : 5232 0.46/0.64 # Non-unit clause-clause subsumptions : 316 0.46/0.64 # Unit Clause-clause subsumption calls : 1120 0.46/0.64 # Rewrite failures with RHS unbound : 0 0.46/0.64 # BW rewrite match attempts : 2021 0.46/0.64 # BW rewrite match successes : 70 0.46/0.64 # Condensation attempts : 0 0.46/0.64 # Condensation successes : 0 0.46/0.64 # Termbank termtop insertions : 421738 0.46/0.64 0.46/0.64 # ------------------------------------------------- 0.46/0.64 # User time : 0.294 s 0.46/0.64 # System time : 0.013 s 0.46/0.64 # Total time : 0.307 s 0.46/0.64 # Maximum resident set size: 1928 pages 0.46/0.65 EOF