0.02/0.06 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.07 % 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 0.06/0.25 % Computer : n011.cluster.edu 0.06/0.25 % Model : x86_64 x86_64 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.06/0.25 % Memory : 8042.1875MB 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.26 % CPULimit : 1200 0.10/0.26 % WCLimit : 120 0.10/0.26 % DateTime : Tue Jul 13 14:07:25 EDT 2021 0.10/0.26 % CPUTime : 0.10/0.26 % Number of cores: 8 0.10/0.26 % Python version: Python 3.6.8 0.10/0.26 # Version: 2.6rc1-ho 0.10/0.27 # No SInE strategy applied 0.10/0.27 # Trying AutoSched0 for 59 seconds 0.10/0.40 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d 0.10/0.40 # and selection function SelectCQIPrecWNTNp. 0.10/0.40 # 0.10/0.40 # Preprocessing time : 0.039 s 0.10/0.40 # Presaturation interreduction done 0.10/0.40 0.10/0.40 # Proof found! 0.10/0.40 # SZS status Theorem 0.10/0.40 # SZS output start CNFRefutation 0.10/0.40 thf(thm_2Ebool_2Ebool__case__thm, axiom, ![X8:d]:(![X30:u, X31:u]:(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2ET))) @ (s @ X8 @ X30) @ (s @ X8 @ X31)))=(s @ X8 @ X30)&![X32:u, X33:u]:(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2EF))) @ (s @ X8 @ X32) @ (s @ X8 @ X33)))=(s @ X8 @ X33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2Ebool__case__thm)). 0.10/0.40 thf(thm_2Ebool_2EIMP__CLAUSES, axiom, ![X24:$o]:((((((X24=>mono_2Ec_2Ebool_2ET)<=>mono_2Ec_2Ebool_2ET)&((mono_2Ec_2Ebool_2EF=>X24)<=>mono_2Ec_2Ebool_2ET))&(mono_2Ec_2Ebool_2ET<=>(X24<=X24)))&((mono_2Ec_2Ebool_2EF<=X24)<=>~(X24)))&((mono_2Ec_2Ebool_2ET=>X24)<=>X24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2EIMP__CLAUSES)). 0.10/0.40 thf(thm_2Ewords_2EWORD__LITERAL__ADD, axiom, ![X8:d, X9:d]:(![X61:mono_2Etyop_2Enum_2Enum, X62:mono_2Etyop_2Enum_2Enum]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X61)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X62))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X62 @ X61))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X61 @ X62))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X62 @ X61)))))))))&![X63:mono_2Etyop_2Enum_2Enum, X64:mono_2Etyop_2Enum_2Enum]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X63)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X64))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X63 @ X64)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ewords_2EWORD__LITERAL__ADD)). 0.10/0.40 thf(thm_2Ewords_2Eword__sub__def, axiom, ![X8:d, X55:u, X56:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X55) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X56)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X55) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X56))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ewords_2Eword__sub__def)). 0.10/0.40 thf(thm_2Ewords_2En2w__sub, conjecture, ![X8:d, X65:mono_2Etyop_2Enum_2Enum, X66:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_3C_3D @ X66 @ X65=>(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X65 @ X66)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X65)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X66))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ewords_2En2w__sub)). 0.10/0.40 thf(c_0_5, axiom, ![X8:d]:(![X30:u, X31:u]:((~mono_2Ec_2Ebool_2ET|(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X8 @ X30) @ (s @ X8 @ X31)))=(s @ X8 @ X30))&(mono_2Ec_2Ebool_2ET|(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X8 @ X30) @ (s @ X8 @ X31)))=(s @ X8 @ X30)))&![X32:u, X33:u]:((~mono_2Ec_2Ebool_2EF|(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X8 @ X32) @ (s @ X8 @ X33)))=(s @ X8 @ X33))&(mono_2Ec_2Ebool_2EF|(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X8 @ X32) @ (s @ X8 @ X33)))=(s @ X8 @ X33)))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2Ebool__case__thm])). 0.10/0.40 thf(c_0_6, plain, ![X24:$o]:((((((X24=>mono_2Ec_2Ebool_2ET)<=>mono_2Ec_2Ebool_2ET)&((mono_2Ec_2Ebool_2EF=>X24)<=>mono_2Ec_2Ebool_2ET))&mono_2Ec_2Ebool_2ET)&((X24=>mono_2Ec_2Ebool_2EF)<=>~X24))&((mono_2Ec_2Ebool_2ET=>X24)<=>X24)), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES])). 0.10/0.40 thf(c_0_7, axiom, ![X8:d, X9:d]:(![X61:mono_2Etyop_2Enum_2Enum, X62:mono_2Etyop_2Enum_2Enum]:((~mono_2Ec_2Earithmetic_2E_3C_3D @ X62 @ X61|(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X61)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X62))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X61 @ X62))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X62 @ X61))))))))))&(mono_2Ec_2Earithmetic_2E_3C_3D @ X62 @ X61|(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X61)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X62))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X61 @ X62))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X9) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X62 @ X61)))))))))))&![X63:mono_2Etyop_2Enum_2Enum, X64:mono_2Etyop_2Enum_2Enum]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X63)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X64))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X63 @ X64)))))))), inference(fool_unroll,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD])). 0.10/0.40 thf(c_0_8, plain, ![X250:d, X251:u, X252:u, X253:u, X254:u]:(((~mono_2Ec_2Ebool_2ET|(s @ X250 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X250 @ X251) @ (s @ X250 @ X252)))=(s @ X250 @ X251))&(mono_2Ec_2Ebool_2ET|(s @ X250 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X250 @ X251) @ (s @ X250 @ X252)))=(s @ X250 @ X251)))&((~mono_2Ec_2Ebool_2EF|(s @ X250 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X250 @ X253) @ (s @ X250 @ X254)))=(s @ X250 @ X254))&(mono_2Ec_2Ebool_2EF|(s @ X250 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X250 @ X253) @ (s @ X250 @ X254)))=(s @ X250 @ X254)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])])). 0.10/0.40 thf(c_0_9, plain, ![X241:$o]:(((((((X241|mono_2Ec_2Ebool_2ET)&(~mono_2Ec_2Ebool_2ET|mono_2Ec_2Ebool_2ET))&(~mono_2Ec_2Ebool_2ET|(~X241|mono_2Ec_2Ebool_2ET)))&(((mono_2Ec_2Ebool_2EF|mono_2Ec_2Ebool_2ET)&(~X241|mono_2Ec_2Ebool_2ET))&(~mono_2Ec_2Ebool_2ET|(~mono_2Ec_2Ebool_2EF|X241))))&mono_2Ec_2Ebool_2ET)&(((X241|~X241)&(~mono_2Ec_2Ebool_2EF|~X241))&(X241|(~X241|mono_2Ec_2Ebool_2EF))))&(((mono_2Ec_2Ebool_2ET|X241)&(~X241|X241))&(~X241|(~mono_2Ec_2Ebool_2ET|X241)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 0.10/0.40 thf(c_0_10, plain, ![X339:d, X340:d, X341:mono_2Etyop_2Enum_2Enum, X342:mono_2Etyop_2Enum_2Enum, X343:mono_2Etyop_2Enum_2Enum, X344:mono_2Etyop_2Enum_2Enum]:(((~mono_2Ec_2Earithmetic_2E_3C_3D @ X342 @ X341|(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X341)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X342))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X341 @ X342))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X342 @ X341))))))))))&(mono_2Ec_2Earithmetic_2E_3C_3D @ X342 @ X341|(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X341)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X342))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X341 @ X342))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X340) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X342 @ X341)))))))))))&(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X343)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X344))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X339) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X343 @ X344)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])])). 0.10/0.40 thf(c_0_11, plain, ![X8:d, X11:u, X10:u]:((s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X8 @ X10) @ (s @ X8 @ X11)))=(s @ X8 @ X10)|~mono_2Ec_2Ebool_2ET), inference(split_conjunct,[status(thm)],[c_0_8])). 0.10/0.40 thf(c_0_12, plain, mono_2Ec_2Ebool_2ET, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 0.10/0.40 thf(c_0_13, plain, ![X315:d, X316:u, X317:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ X316) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ X317)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ X316) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X315) @ X317))))), inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def])). 0.10/0.40 thf(c_0_14, negated_conjecture, ~(![X8:d, X65:mono_2Etyop_2Enum_2Enum, X66:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_3C_3D @ X66 @ X65=>(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X65 @ X66)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X65)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X66)))))))), inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub])). 0.10/0.40 thf(c_0_15, plain, ![X2:mono_2Etyop_2Enum_2Enum, X8:d, X15:mono_2Etyop_2Enum_2Enum]:((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X15)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X15 @ X2))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X15)))))))))|~mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X15), inference(split_conjunct,[status(thm)],[c_0_10])). 0.10/0.40 thf(c_0_16, plain, ![X8:d, X11:u, X10:u]:(s @ X8 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X8 @ X10) @ (s @ X8 @ X11)))=(s @ X8 @ X10), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])). 0.10/0.40 thf(c_0_17, plain, ![X8:d, X10:u, X11:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X10) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X11)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X10) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ X11))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.10/0.40 thf(c_0_18, negated_conjecture, (mono_2Ec_2Earithmetic_2E_3C_3D @ esk6_0 @ esk5_0&(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ esk5_0 @ esk6_0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk5_0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk6_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])). 0.10/0.40 thf(c_0_19, plain, ![X15:mono_2Etyop_2Enum_2Enum, X8:d, X2:mono_2Etyop_2Enum_2Enum]:((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X15))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X15)))))|~mono_2Ec_2Earithmetic_2E_3C_3D @ X15 @ X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16]), c_0_17])). 0.10/0.40 thf(c_0_20, negated_conjecture, mono_2Ec_2Earithmetic_2E_3C_3D @ esk6_0 @ esk5_0, inference(split_conjunct,[status(thm)],[c_0_18])). 0.10/0.40 thf(c_0_21, negated_conjecture, (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ esk5_0 @ esk6_0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk5_0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk4_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk6_0)))))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.10/0.40 thf(c_0_22, negated_conjecture, ![X8:d]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk5_0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk6_0))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X8) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ esk5_0 @ esk6_0))))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.10/0.40 thf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), ['proof']). 0.10/0.40 # SZS output end CNFRefutation 0.10/0.40 # Proof object total steps : 24 0.10/0.40 # Proof object clause steps : 10 0.10/0.40 # Proof object formula steps : 14 0.10/0.40 # Proof object conjectures : 7 0.10/0.40 # Proof object clause conjectures : 4 0.10/0.40 # Proof object formula conjectures : 3 0.10/0.40 # Proof object initial clauses used : 6 0.10/0.40 # Proof object initial formulas used : 5 0.10/0.40 # Proof object generating inferences : 1 0.10/0.40 # Proof object simplifying inferences : 7 0.10/0.40 # Training examples: 0 positive, 0 negative 0.10/0.40 # Parsed axioms : 139 0.10/0.40 # Removed by relevancy pruning/SinE : 0 0.10/0.40 # Initial clauses : 343 0.10/0.40 # Removed in clause preprocessing : 188 0.10/0.40 # Initial clauses in saturation : 155 0.10/0.40 # Processed clauses : 610 0.10/0.40 # ...of these trivial : 34 0.10/0.40 # ...subsumed : 267 0.10/0.40 # ...remaining for further processing : 309 0.10/0.40 # Other redundant clauses eliminated : 0 0.10/0.40 # Clauses deleted for lack of memory : 0 0.10/0.40 # Backward-subsumed : 2 0.10/0.40 # Backward-rewritten : 13 0.10/0.40 # Generated clauses : 4525 0.10/0.40 # ...of the previous two non-trivial : 3154 0.10/0.40 # Contextual simplify-reflections : 0 0.10/0.40 # Paramodulations : 4458 0.10/0.40 # Factorizations : 2 0.10/0.40 # NegExts : 0 0.10/0.40 # Equation resolutions : 41 0.10/0.40 # Propositional unsat checks : 0 0.10/0.40 # Propositional check models : 0 0.10/0.40 # Propositional check unsatisfiable : 0 0.10/0.40 # Propositional clauses : 0 0.10/0.40 # Propositional clauses after purity: 0 0.10/0.40 # Propositional unsat core size : 0 0.10/0.40 # Propositional preprocessing time : 0.000 0.10/0.40 # Propositional encoding time : 0.000 0.10/0.40 # Propositional solver time : 0.000 0.10/0.40 # Success case prop preproc time : 0.000 0.10/0.40 # Success case prop encoding time : 0.000 0.10/0.40 # Success case prop solver time : 0.000 0.10/0.40 # Current number of processed clauses : 200 0.10/0.40 # Positive orientable unit clauses : 103 0.10/0.40 # Positive unorientable unit clauses: 1 0.10/0.40 # Negative unit clauses : 12 0.10/0.40 # Non-unit-clauses : 84 0.10/0.40 # Current number of unprocessed clauses: 2765 0.10/0.40 # ...number of literals in the above : 5530 0.10/0.40 # Current number of archived formulas : 0 0.10/0.40 # Current number of archived clauses : 109 0.10/0.40 # Clause-clause subsumption calls (NU) : 1874 0.10/0.40 # Rec. Clause-clause subsumption calls : 1668 0.10/0.40 # Non-unit clause-clause subsumptions : 226 0.10/0.40 # Unit Clause-clause subsumption calls : 262 0.10/0.40 # Rewrite failures with RHS unbound : 0 0.10/0.40 # BW rewrite match attempts : 685 0.10/0.40 # BW rewrite match successes : 12 0.10/0.40 # Condensation attempts : 0 0.10/0.40 # Condensation successes : 0 0.10/0.40 # Termbank termtop insertions : 144759 0.10/0.40 0.10/0.40 # ------------------------------------------------- 0.10/0.40 # User time : 0.126 s 0.10/0.40 # System time : 0.010 s 0.10/0.40 # Total time : 0.136 s 0.10/0.40 # Maximum resident set size: 1852 pages 0.10/0.40 EOF