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 : n018.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 15:07:23 EDT 2021 0.12/0.33 % CPUTime : 0.12/0.33 % Number of cores: 8 0.12/0.33 % 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 42.98/43.32 # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S070I 42.98/43.32 # and selection function SelectVGNonCR. 42.98/43.32 # 42.98/43.32 # Preprocessing time : 0.044 s 42.98/43.32 # Presaturation interreduction done 42.98/43.32 42.98/43.32 # Proof found! 42.98/43.32 # SZS status Theorem 42.98/43.32 # SZS output start CNFRefutation 42.98/43.32 thf(ij_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X18:u]:(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X18))))=(s @ tyop_2Emin_2Ebool @ X18), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ij_2Emono_2Etyop_2Emin_2Ebool)). 42.98/43.32 thf(reserved_2Equant_2E_21, axiom, ![X13:d, X26:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X26)))<=>![X30:u]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X26) @ (s @ X13 @ X30)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Equant_2E_21)). 42.98/43.32 thf(reserved_2Eho_2Ei__thm, axiom, ![X13:d, X49:u]:(s @ X13 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ X13) @ combin_i_2E0) @ (s @ X13 @ X49)))=(s @ X13 @ X49), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Eho_2Ei__thm)). 42.98/43.32 thf(thm_2Eutil__prob_2ENUM__2D__BIJ__INV, conjecture, ?[X63:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X63 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ__INV)). 42.98/43.32 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, axiom, ![X64:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, X65:mono_2Etyop_2Enum_2Enum > $o, X66:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o]:(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X64 @ X65 @ X66)))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X64)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X65)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X66)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)). 42.98/43.32 thf(ji_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X44:$o]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X44)))<=>X44), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ji_2Emono_2Etyop_2Emin_2Ebool)). 42.98/43.32 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum, axiom, ![X93:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum, X94:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o, X95:mono_2Etyop_2Enum_2Enum > $o]:(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X93 @ X94 @ X95)))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X93)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X94)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X95)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum)). 42.98/43.32 thf(thm_2Eutil__prob_2ENUM__2D__BIJ, axiom, ?[X57:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X57 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ)). 42.98/43.32 thf(monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum, axiom, (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))=(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)). 42.98/43.32 thf(thm_2Epred__set_2EBIJ__SYM, axiom, ![X13:d, X24:d, X88:u, X89:u]:(?[X90:u]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X24 @ X13) @ X90) @ (s @ (tyop_2Emin_2Efun @ X24 @ tyop_2Emin_2Ebool) @ X89) @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X88)))<=>?[X91:u]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X13 @ X24) @ X91) @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X88) @ (s @ (tyop_2Emin_2Efun @ X24 @ tyop_2Emin_2Ebool) @ X89)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Epred__set_2EBIJ__SYM)). 42.98/43.32 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29, axiom, ![X18:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X18))))=(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X18), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)). 42.98/43.32 thf(c_0_11, axiom, ![X18:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X18)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X18))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X18)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X18))), inference(fool_unroll,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Ebool])). 42.98/43.32 thf(c_0_12, plain, ![X528:d, X529:u, X530:u, X531:d, X532:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X528 @ tyop_2Emin_2Ebool) @ X529)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X528 @ tyop_2Emin_2Ebool) @ X529) @ (s @ X528 @ X530))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X531 @ tyop_2Emin_2Ebool) @ X532) @ (s @ X531 @ (esk22_2 @ X531 @ X532))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X531 @ tyop_2Emin_2Ebool) @ X532))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Equant_2E_21])])])])])). 42.98/43.32 thf(c_0_13, plain, ![X430:d, X431:u]:(s @ X430 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X430 @ X430) @ combin_i_2E0) @ (s @ X430 @ X431)))=(s @ X430 @ X431), inference(variable_rename,[status(thm)],[reserved_2Eho_2Ei__thm])). 42.98/43.32 thf(c_0_14, plain, ![X580:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X580)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X580))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X580)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X580))), inference(variable_rename,[status(thm)],[c_0_11])). 42.98/43.32 thf(c_0_15, negated_conjecture, ~(?[X63:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X63 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)), inference(assume_negation,[status(cth)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV])). 42.98/43.32 thf(c_0_16, axiom, ![X64:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, X65:mono_2Etyop_2Enum_2Enum > $o, X66:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o]:((~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X64 @ X65 @ X66|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X64)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X65)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X66)))))&(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X64 @ X65 @ X66|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X64)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X65)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X66)))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29])). 42.98/43.32 thf(c_0_17, axiom, ![X44:$o]:(((~X44|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))&(X44|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))<=>X44), inference(fool_unroll,[status(thm)],[ji_2Emono_2Etyop_2Emin_2Ebool])). 42.98/43.32 thf(c_0_18, plain, ![X13:d, X16:u, X14:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14) @ (s @ X13 @ X16)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14)))), inference(split_conjunct,[status(thm)],[c_0_12])). 42.98/43.32 thf(c_0_19, plain, ![X13:d, X14:u]:(s @ X13 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ X13) @ combin_i_2E0) @ (s @ X13 @ X14)))=(s @ X13 @ X14), inference(split_conjunct,[status(thm)],[c_0_13])). 42.98/43.32 thf(c_0_20, plain, ![X13:d, X14:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14) @ (s @ X13 @ (esk22_2 @ X13 @ X14))))), inference(split_conjunct,[status(thm)],[c_0_12])). 42.98/43.32 thf(c_0_21, plain, ![X14:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X14)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X14)), inference(split_conjunct,[status(thm)],[c_0_14])). 42.98/43.32 thf(c_0_22, axiom, ![X93:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum, X94:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o, X95:mono_2Etyop_2Enum_2Enum > $o]:((~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X93 @ X94 @ X95|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X93)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X94)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X95)))))&(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X93 @ X94 @ X95|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X93)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X94)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X95)))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum])). 42.98/43.32 thf(c_0_23, negated_conjecture, ![X468:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X468 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])). 42.98/43.32 thf(c_0_24, plain, ![X487:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, X488:mono_2Etyop_2Enum_2Enum > $o, X489:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o]:((~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X487 @ X488 @ X489|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X487)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X488)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X489)))))&(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X487 @ X488 @ X489|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X487)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X488)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X489)))))), inference(variable_rename,[status(thm)],[c_0_16])). 42.98/43.32 thf(c_0_25, plain, ![X402:$o]:((((~X402|X402|X402)&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|X402|X402))&((~X402|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|X402)&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|X402)))&((~X402|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|~X402)&(X402|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|~X402))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 42.98/43.32 thf(c_0_26, plain, ![X14:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X14)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 42.98/43.32 thf(c_0_27, plain, ![X13:d, X14:u]:((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14) @ (s @ X13 @ (esk22_2 @ X13 @ X14))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X14)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 42.98/43.32 thf(c_0_28, plain, ![X558:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum, X559:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o, X560:mono_2Etyop_2Enum_2Enum > $o]:((~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X558 @ X559 @ X560|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X558)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X559)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X560)))))&(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X558 @ X559 @ X560|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X558)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X559)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X560)))))), inference(variable_rename,[status(thm)],[c_0_22])). 42.98/43.32 thf(c_0_29, plain, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ esk11_0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum, inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[thm_2Eutil__prob_2ENUM__2D__BIJ])])). 42.98/43.32 thf(c_0_30, negated_conjecture, ![X2:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X2 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum), inference(split_conjunct,[status(thm)],[c_0_23])). 42.98/43.32 thf(c_0_31, plain, ![X2:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, X21:mono_2Etyop_2Enum_2Enum > $o, X8:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o]:(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X2 @ X21 @ X8|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X21)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X8))))), inference(split_conjunct,[status(thm)],[c_0_24])). 42.98/43.32 thf(c_0_32, plain, (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))=(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0), inference(split_conjunct,[status(thm)],[monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum])). 42.98/43.32 thf(c_0_33, plain, ~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 42.98/43.32 thf(c_0_34, plain, ![X14:u]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (esk22_2 @ tyop_2Emin_2Ebool @ combin_i_2E0))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X14)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_19])). 42.98/43.32 thf(c_0_35, plain, ![X542:d, X543:d, X544:u, X545:u, X546:u, X548:d, X549:d, X550:u, X551:u, X552:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X543 @ X542) @ X546) @ (s @ (tyop_2Emin_2Efun @ X543 @ tyop_2Emin_2Ebool) @ X545) @ (s @ (tyop_2Emin_2Efun @ X542 @ tyop_2Emin_2Ebool) @ X544)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X542 @ X543) @ (esk23_4 @ X542 @ X543 @ X544 @ X545)) @ (s @ (tyop_2Emin_2Efun @ X542 @ tyop_2Emin_2Ebool) @ X544) @ (s @ (tyop_2Emin_2Efun @ X543 @ tyop_2Emin_2Ebool) @ X545))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X548 @ X549) @ X552) @ (s @ (tyop_2Emin_2Efun @ X548 @ tyop_2Emin_2Ebool) @ X550) @ (s @ (tyop_2Emin_2Efun @ X549 @ tyop_2Emin_2Ebool) @ X551)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X549 @ X548) @ (esk24_4 @ X548 @ X549 @ X550 @ X551)) @ (s @ (tyop_2Emin_2Efun @ X549 @ tyop_2Emin_2Ebool) @ X551) @ (s @ (tyop_2Emin_2Efun @ X548 @ tyop_2Emin_2Ebool) @ X550))))), 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_2Epred__set_2EBIJ__SYM])])])])])). 42.98/43.32 thf(c_0_36, plain, ![X8:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o, X12:mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum > $o]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X12)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X8)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X21))))|~mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X12 @ X8 @ X21), inference(split_conjunct,[status(thm)],[c_0_28])). 42.98/43.32 thf(c_0_37, plain, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ esk11_0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum, inference(split_conjunct,[status(thm)],[c_0_29])). 42.98/43.32 thf(c_0_38, negated_conjecture, ![X2:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])). 42.98/43.32 thf(c_0_39, plain, (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (esk22_2 @ tyop_2Emin_2Ebool @ combin_i_2E0)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 42.98/43.32 thf(c_0_40, plain, ![X436:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X436))))=(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X436), inference(variable_rename,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29])). 42.98/43.32 thf(c_0_41, plain, ![X13:d, X14:u, X16:u, X24:d, X17:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X24 @ X13) @ (esk23_4 @ X24 @ X13 @ X17 @ X16)) @ (s @ (tyop_2Emin_2Efun @ X24 @ tyop_2Emin_2Ebool) @ X17) @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X16)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X13 @ X24) @ X14) @ (s @ (tyop_2Emin_2Efun @ X13 @ tyop_2Emin_2Ebool) @ X16) @ (s @ (tyop_2Emin_2Efun @ X24 @ tyop_2Emin_2Ebool) @ X17)))), inference(split_conjunct,[status(thm)],[c_0_35])). 42.98/43.32 thf(c_0_42, plain, (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ esk11_0)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_32])). 42.98/43.32 thf(c_0_43, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 42.98/43.32 thf(c_0_44, negated_conjecture, ![X2:mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29]:(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))))=(s @ tyop_2Emin_2Ebool @ (esk22_2 @ tyop_2Emin_2Ebool @ combin_i_2E0)), inference(rw,[status(thm)],[c_0_38, c_0_39])). 42.98/43.32 thf(c_0_45, plain, ![X14:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X14))))=(s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X14), inference(split_conjunct,[status(thm)],[c_0_40])). 42.98/43.32 thf(c_0_46, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (esk23_4 @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV_2E0 @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])). 42.98/43.32 thf(c_0_47, negated_conjecture, ![X14:u]:(s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X14) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))))=(s @ tyop_2Emin_2Ebool @ (esk22_2 @ tyop_2Emin_2Ebool @ combin_i_2E0)), inference(spm,[status(thm)],[c_0_44, c_0_45])). 42.98/43.32 thf(c_0_48, plain, ~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (esk22_2 @ tyop_2Emin_2Ebool @ combin_i_2E0)), inference(rw,[status(thm)],[c_0_33, c_0_39])). 42.98/43.32 thf(c_0_49, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47]), c_0_48]), ['proof']). 42.98/43.32 # SZS output end CNFRefutation 42.98/43.32 # Proof object total steps : 50 42.98/43.32 # Proof object clause steps : 24 42.98/43.32 # Proof object formula steps : 26 42.98/43.32 # Proof object conjectures : 7 42.98/43.32 # Proof object clause conjectures : 4 42.98/43.32 # Proof object formula conjectures : 3 42.98/43.32 # Proof object initial clauses used : 13 42.98/43.32 # Proof object initial formulas used : 11 42.98/43.32 # Proof object generating inferences : 8 42.98/43.32 # Proof object simplifying inferences : 11 42.98/43.32 # Training examples: 0 positive, 0 negative 42.98/43.32 # Parsed axioms : 190 42.98/43.32 # Removed by relevancy pruning/SinE : 0 42.98/43.32 # Initial clauses : 596 42.98/43.32 # Removed in clause preprocessing : 385 42.98/43.32 # Initial clauses in saturation : 211 42.98/43.32 # Processed clauses : 73503 42.98/43.32 # ...of these trivial : 1327 42.98/43.32 # ...subsumed : 49916 42.98/43.32 # ...remaining for further processing : 22260 42.98/43.32 # Other redundant clauses eliminated : 2127 42.98/43.32 # Clauses deleted for lack of memory : 0 42.98/43.32 # Backward-subsumed : 809 42.98/43.32 # Backward-rewritten : 598 42.98/43.32 # Generated clauses : 1197857 42.98/43.32 # ...of the previous two non-trivial : 1021731 42.98/43.32 # Contextual simplify-reflections : 792 42.98/43.32 # Paramodulations : 1119018 42.98/43.32 # Factorizations : 813 42.98/43.32 # NegExts : 7492 42.98/43.32 # Equation resolutions : 2585 42.98/43.32 # Propositional unsat checks : 0 42.98/43.32 # Propositional check models : 0 42.98/43.32 # Propositional check unsatisfiable : 0 42.98/43.32 # Propositional clauses : 0 42.98/43.32 # Propositional clauses after purity: 0 42.98/43.32 # Propositional unsat core size : 0 42.98/43.32 # Propositional preprocessing time : 0.000 42.98/43.32 # Propositional encoding time : 0.000 42.98/43.32 # Propositional solver time : 0.000 42.98/43.32 # Success case prop preproc time : 0.000 42.98/43.32 # Success case prop encoding time : 0.000 42.98/43.32 # Success case prop solver time : 0.000 42.98/43.32 # Current number of processed clauses : 16478 42.98/43.32 # Positive orientable unit clauses : 465 42.98/43.32 # Positive unorientable unit clauses: 9 42.98/43.32 # Negative unit clauses : 225 42.98/43.32 # Non-unit-clauses : 15779 42.98/43.32 # Current number of unprocessed clauses: 896905 42.98/43.32 # ...number of literals in the above : 3041944 42.98/43.32 # Current number of archived formulas : 0 42.98/43.32 # Current number of archived clauses : 5771 42.98/43.32 # Clause-clause subsumption calls (NU) : 26491429 42.98/43.32 # Rec. Clause-clause subsumption calls : 5026729 42.98/43.32 # Non-unit clause-clause subsumptions : 19113 42.98/43.32 # Unit Clause-clause subsumption calls : 144688 42.98/43.32 # Rewrite failures with RHS unbound : 0 42.98/43.32 # BW rewrite match attempts : 93715 42.98/43.32 # BW rewrite match successes : 291 42.98/43.32 # Condensation attempts : 0 42.98/43.32 # Condensation successes : 0 42.98/43.32 # Termbank termtop insertions : 57055673 43.03/43.41 43.03/43.41 # ------------------------------------------------- 43.03/43.41 # User time : 42.164 s 43.03/43.41 # System time : 0.751 s 43.03/43.41 # Total time : 42.915 s 43.03/43.41 # Maximum resident set size: 1944 pages 43.03/43.41 EOF