0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % 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 0.10/0.30 % Computer : n007.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1200 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Jul 13 14:31:19 EDT 2021 0.10/0.30 % CPUTime : 0.10/0.31 % Number of cores: 8 0.10/0.31 % Python version: Python 3.6.8 0.16/0.31 # Version: 2.6rc1-ho 0.16/0.31 # No SInE strategy applied 0.16/0.31 # Trying AutoSched0 for 59 seconds 0.16/0.37 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d 0.16/0.37 # and selection function SelectCQIPrecWNTNp. 0.16/0.37 # 0.16/0.37 # Preprocessing time : 0.039 s 0.16/0.37 # Presaturation interreduction done 0.16/0.37 0.16/0.37 # Proof found! 0.16/0.37 # SZS status Theorem 0.16/0.37 # SZS output start CNFRefutation 0.16/0.37 thf(thm_2Ebool_2ECOND__CLAUSES, axiom, ![X1:d, X6:u, X7:u]:((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2ET))) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X6)&(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Ebool_2EF))) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2ECOND__CLAUSES)). 0.16/0.37 thf(thm_2Ebool_2EEQ__CLAUSES, axiom, ![X12:$o]:((((X12<=>(mono_2Ec_2Ebool_2ET<=>X12))&(X12<=>(X12<=>mono_2Ec_2Ebool_2ET)))&(~(X12)<=>(X12<=>mono_2Ec_2Ebool_2EF)))&((mono_2Ec_2Ebool_2EF<=>X12)<=>~(X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2EEQ__CLAUSES)). 0.16/0.37 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal, axiom, ![X41:$o, X5:mono_2Etyop_2Eextreal_2Eextreal, X42:mono_2Etyop_2Eextreal_2Eextreal]:(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (X41) @ X5 @ X42)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X41))) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X42)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal)). 0.16/0.37 thf(thm_2Eextreal_2Eextreal__max__def, axiom, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X23:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__max @ X22 @ X23)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X23) @ X23 @ X22), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eextreal_2Eextreal__max__def)). 0.16/0.37 thf(ji_2Emono_2Etyop_2Eextreal_2Eextreal, axiom, ![X68:mono_2Etyop_2Eextreal_2Eextreal]:(j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X68)))=(X68), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ji_2Emono_2Etyop_2Eextreal_2Eextreal)). 0.16/0.37 thf(thm_2Eextreal_2Emax__le, conjecture, ![X55:mono_2Etyop_2Eextreal_2Eextreal, X56:mono_2Etyop_2Eextreal_2Eextreal, X57:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__le @ X56 @ X55&mono_2Ec_2Eextreal_2Eextreal__le @ X57 @ X55)<=>mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X56 @ X57) @ X55), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eextreal_2Emax__le)). 0.16/0.37 thf(thm_2Eextreal_2Ele__trans, axiom, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X23:mono_2Etyop_2Eextreal_2Eextreal, X53:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__le @ X23 @ X53&mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X23)=>mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X53), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eextreal_2Ele__trans)). 0.16/0.37 thf(thm_2Eextreal_2Ele__total, axiom, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X23:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ X23 @ X22|mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X23), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eextreal_2Ele__total)). 0.16/0.37 thf(c_0_8, axiom, ![X1:d, X6:u, X7:u]:(((~mono_2Ec_2Ebool_2ET|(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X6))&(mono_2Ec_2Ebool_2ET|(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X6)))&((~mono_2Ec_2Ebool_2EF|(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X7))&(mono_2Ec_2Ebool_2EF|(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X6) @ (s @ X1 @ X7)))=(s @ X1 @ X7)))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES])). 0.16/0.37 thf(c_0_9, plain, ![X12:$o]:((((X12<=>(mono_2Ec_2Ebool_2ET<=>X12))&(X12<=>(X12<=>mono_2Ec_2Ebool_2ET)))&(~X12<=>(X12<=>mono_2Ec_2Ebool_2EF)))&((mono_2Ec_2Ebool_2EF<=>X12)<=>~X12)), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES])). 0.16/0.37 thf(c_0_10, axiom, ![X41:$o, X5:mono_2Etyop_2Eextreal_2Eextreal, X42:mono_2Etyop_2Eextreal_2Eextreal]:((~X41|((~X41|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X42)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X42)))))&(X41|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X42)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X42)))))))&(X41|((~X41|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X42)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X42)))))&(X41|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X42)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X42)))))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal])). 0.16/0.37 thf(c_0_11, plain, ![X225:d, X226:u, X227:u]:(((~mono_2Ec_2Ebool_2ET|(s @ X225 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X225 @ X226) @ (s @ X225 @ X227)))=(s @ X225 @ X226))&(mono_2Ec_2Ebool_2ET|(s @ X225 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X225 @ X226) @ (s @ X225 @ X227)))=(s @ X225 @ X226)))&((~mono_2Ec_2Ebool_2EF|(s @ X225 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X225 @ X226) @ (s @ X225 @ X227)))=(s @ X225 @ X227))&(mono_2Ec_2Ebool_2EF|(s @ X225 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X225 @ X226) @ (s @ X225 @ X227)))=(s @ X225 @ X227)))), inference(variable_rename,[status(thm)],[c_0_8])). 0.16/0.37 thf(c_0_12, plain, ![X233:$o]:((((((~mono_2Ec_2Ebool_2ET|X233|~X233)&(~X233|mono_2Ec_2Ebool_2ET|~X233))&((~mono_2Ec_2Ebool_2ET|~X233|X233)&(mono_2Ec_2Ebool_2ET|X233|X233)))&(((~X233|mono_2Ec_2Ebool_2ET|~X233)&(~mono_2Ec_2Ebool_2ET|X233|~X233))&((~X233|~mono_2Ec_2Ebool_2ET|X233)&(X233|mono_2Ec_2Ebool_2ET|X233))))&(((~X233|mono_2Ec_2Ebool_2EF|X233)&(~mono_2Ec_2Ebool_2EF|X233|X233))&((~X233|~mono_2Ec_2Ebool_2EF|~X233)&(X233|mono_2Ec_2Ebool_2EF|~X233))))&(((~mono_2Ec_2Ebool_2EF|~X233|~X233)&(mono_2Ec_2Ebool_2EF|X233|~X233))&((~mono_2Ec_2Ebool_2EF|X233|X233)&(~X233|mono_2Ec_2Ebool_2EF|X233)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 0.16/0.37 thf(c_0_13, plain, ![X282:$o, X283:mono_2Etyop_2Eextreal_2Eextreal, X284:mono_2Etyop_2Eextreal_2Eextreal]:(((~X282|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X283 @ X284)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X283)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X284))))|~X282)&(X282|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X283 @ X284)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X283)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X284))))|~X282))&((~X282|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X283 @ X284)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X283)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X284))))|X282)&(X282|(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X283 @ X284)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X283)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X284))))|X282))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])])). 0.16/0.37 thf(c_0_14, plain, ![X1:d, X2:u, X3:u]:(mono_2Ec_2Ebool_2EF|(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X3)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.37 thf(c_0_15, plain, ~mono_2Ec_2Ebool_2EF, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12])])])). 0.16/0.37 thf(c_0_16, axiom, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X23:mono_2Etyop_2Eextreal_2Eextreal]:((~mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X23|(mono_2Ec_2Eextreal_2Eextreal__max @ X22 @ X23)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X23 @ X22))&(mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X23|(mono_2Ec_2Eextreal_2Eextreal__max @ X22 @ X23)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X23 @ X22))), inference(fool_unroll,[status(thm)],[thm_2Eextreal_2Eextreal__max__def])). 0.16/0.37 thf(c_0_17, plain, ![X350:mono_2Etyop_2Eextreal_2Eextreal]:(j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X350)))=(X350), inference(variable_rename,[status(thm)],[ji_2Emono_2Etyop_2Eextreal_2Eextreal])). 0.16/0.37 thf(c_0_18, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X22)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X22)))), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])])). 0.16/0.37 thf(c_0_19, plain, ![X1:d, X2:u, X3:u]:(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X3), inference(sr,[status(thm)],[c_0_14, c_0_15])). 0.16/0.37 thf(c_0_20, negated_conjecture, ~(![X55:mono_2Etyop_2Eextreal_2Eextreal, X56:mono_2Etyop_2Eextreal_2Eextreal, X57:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__le @ X56 @ X55&mono_2Ec_2Eextreal_2Eextreal__le @ X57 @ X55)<=>mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X56 @ X57) @ X55)), inference(assume_negation,[status(cth)],[thm_2Eextreal_2Emax__le])). 0.16/0.37 thf(c_0_21, plain, ![X336:mono_2Etyop_2Eextreal_2Eextreal, X337:mono_2Etyop_2Eextreal_2Eextreal]:((~mono_2Ec_2Eextreal_2Eextreal__le @ X336 @ X337|(mono_2Ec_2Eextreal_2Eextreal__max @ X336 @ X337)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X337 @ X336))&(mono_2Ec_2Eextreal_2Eextreal__le @ X336 @ X337|(mono_2Ec_2Eextreal_2Eextreal__max @ X336 @ X337)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X337 @ X336))), inference(variable_rename,[status(thm)],[c_0_16])). 0.16/0.37 thf(c_0_22, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal]:(j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)))=(X5), inference(split_conjunct,[status(thm)],[c_0_17])). 0.16/0.37 thf(c_0_23, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X22)))=(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X22)), inference(rw,[status(thm)],[c_0_18, c_0_19])). 0.16/0.37 thf(c_0_24, negated_conjecture, ((~mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|~mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0|~mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0)&((mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0)&(mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])). 0.16/0.37 thf(c_0_25, plain, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22|(mono_2Ec_2Eextreal_2Eextreal__max @ X5 @ X22)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X22 @ X5)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.16/0.37 thf(c_0_26, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X22)=(X22), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_22])). 0.16/0.37 thf(c_0_27, plain, ![X309:mono_2Etyop_2Eextreal_2Eextreal, X310:mono_2Etyop_2Eextreal_2Eextreal, X311:mono_2Etyop_2Eextreal_2Eextreal]:(~mono_2Ec_2Eextreal_2Eextreal__le @ X310 @ X311|~mono_2Ec_2Eextreal_2Eextreal__le @ X309 @ X310|mono_2Ec_2Eextreal_2Eextreal__le @ X309 @ X311), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__trans])])). 0.16/0.37 thf(c_0_28, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_24])). 0.16/0.37 thf(c_0_29, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__max @ X5 @ X22)=(X5)|mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.16/0.37 thf(c_0_30, plain, ![X23:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ X23 @ X22|~mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22|~mono_2Ec_2Eextreal_2Eextreal__le @ X23 @ X5), inference(split_conjunct,[status(thm)],[c_0_27])). 0.16/0.37 thf(c_0_31, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk6_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.16/0.37 thf(c_0_32, plain, ![X246:mono_2Etyop_2Eextreal_2Eextreal, X247:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ X247 @ X246|mono_2Ec_2Eextreal_2Eextreal__le @ X246 @ X247), inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__total])). 0.16/0.37 thf(c_0_33, plain, ![X1:d, X3:u, X2:u]:((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X2)|~mono_2Ec_2Ebool_2ET), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.37 thf(c_0_34, plain, mono_2Ec_2Ebool_2ET, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12])])])). 0.16/0.37 thf(c_0_35, negated_conjecture, ![X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ X5|~mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ X5), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.16/0.37 thf(c_0_36, plain, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22|mono_2Ec_2Eextreal_2Eextreal__le @ X22 @ X5), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.37 thf(c_0_37, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X22)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X22)))), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])])). 0.16/0.37 thf(c_0_38, plain, ![X1:d, X3:u, X2:u]:(s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])). 0.16/0.37 thf(c_0_39, negated_conjecture, ![X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ esk6_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ X5), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.16/0.37 thf(c_0_40, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__max @ X5 @ X22)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X22 @ X5)|~mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22), inference(split_conjunct,[status(thm)],[c_0_21])). 0.16/0.37 thf(c_0_41, plain, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X22)))=(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X5)), inference(rw,[status(thm)],[c_0_37, c_0_38])). 0.16/0.37 thf(c_0_42, negated_conjecture, (~mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|~mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0|~mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_24])). 0.16/0.37 thf(c_0_43, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0), inference(ef,[status(thm)],[c_0_39])). 0.16/0.37 thf(c_0_44, negated_conjecture, ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ esk6_0 @ esk5_0)=(mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)|mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0), inference(spm,[status(thm)],[c_0_40, c_0_31])). 0.16/0.37 thf(c_0_45, plain, ![X22:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X22)=(X5), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_41]), c_0_22])). 0.16/0.37 thf(c_0_46, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0|~mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_36])). 0.16/0.37 thf(c_0_47, negated_conjecture, ((mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)=(esk6_0)|mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0), inference(rw,[status(thm)],[c_0_44, c_0_45])). 0.16/0.37 thf(c_0_48, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk6_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_29]), c_0_43])). 0.16/0.37 thf(c_0_49, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0), inference(spm,[status(thm)],[c_0_28, c_0_47])). 0.16/0.37 thf(c_0_50, negated_conjecture, ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ esk6_0 @ esk5_0)=(mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)|mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0), inference(spm,[status(thm)],[c_0_40, c_0_48])). 0.16/0.37 thf(c_0_51, negated_conjecture, mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk4_0, inference(spm,[status(thm)],[c_0_35, c_0_49])). 0.16/0.37 thf(c_0_52, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)|mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0), inference(spm,[status(thm)],[c_0_46, c_0_36])). 0.16/0.37 thf(c_0_53, negated_conjecture, ((mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)=(esk6_0)|mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0), inference(rw,[status(thm)],[c_0_50, c_0_45])). 0.16/0.37 thf(c_0_54, negated_conjecture, ![X5:mono_2Etyop_2Eextreal_2Eextreal]:(mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ X5|~mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ X5), inference(spm,[status(thm)],[c_0_30, c_0_51])). 0.16/0.37 thf(c_0_55, negated_conjecture, mono_2Ec_2Eextreal_2Eextreal__le @ esk4_0 @ esk6_0, inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.16/0.37 thf(c_0_56, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X22:mono_2Etyop_2Eextreal_2Eextreal]:((mono_2Ec_2Eextreal_2Eextreal__max @ X5 @ X22)=(X22)|~mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X22), inference(rw,[status(thm)],[c_0_40, c_0_45])). 0.16/0.37 thf(c_0_57, negated_conjecture, mono_2Ec_2Eextreal_2Eextreal__le @ esk5_0 @ esk6_0, inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.16/0.37 thf(c_0_58, negated_conjecture, (~mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0|~mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_51])])). 0.16/0.37 thf(c_0_59, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)=(esk6_0), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.16/0.37 thf(c_0_60, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0|mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0) @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_24])). 0.16/0.37 thf(c_0_61, negated_conjecture, ~mono_2Ec_2Eextreal_2Eextreal__le @ esk6_0 @ esk4_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])). 0.16/0.37 thf(c_0_62, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_59])]), c_0_61]), ['proof']). 0.16/0.37 # SZS output end CNFRefutation 0.16/0.37 # Proof object total steps : 63 0.16/0.37 # Proof object clause steps : 42 0.16/0.37 # Proof object formula steps : 21 0.16/0.37 # Proof object conjectures : 26 0.16/0.37 # Proof object clause conjectures : 23 0.16/0.37 # Proof object formula conjectures : 3 0.16/0.37 # Proof object initial clauses used : 14 0.16/0.37 # Proof object initial formulas used : 8 0.16/0.37 # Proof object generating inferences : 18 0.16/0.37 # Proof object simplifying inferences : 23 0.16/0.37 # Training examples: 0 positive, 0 negative 0.16/0.37 # Parsed axioms : 145 0.16/0.37 # Removed by relevancy pruning/SinE : 0 0.16/0.37 # Initial clauses : 546 0.16/0.37 # Removed in clause preprocessing : 370 0.16/0.37 # Initial clauses in saturation : 176 0.16/0.37 # Processed clauses : 439 0.16/0.37 # ...of these trivial : 41 0.16/0.37 # ...subsumed : 150 0.16/0.37 # ...remaining for further processing : 247 0.16/0.37 # Other redundant clauses eliminated : 0 0.16/0.37 # Clauses deleted for lack of memory : 0 0.16/0.37 # Backward-subsumed : 10 0.16/0.37 # Backward-rewritten : 54 0.16/0.37 # Generated clauses : 678 0.16/0.37 # ...of the previous two non-trivial : 459 0.16/0.37 # Contextual simplify-reflections : 2 0.16/0.37 # Paramodulations : 660 0.16/0.37 # Factorizations : 6 0.16/0.37 # NegExts : 0 0.16/0.37 # Equation resolutions : 0 0.16/0.37 # Propositional unsat checks : 0 0.16/0.37 # Propositional check models : 0 0.16/0.37 # Propositional check unsatisfiable : 0 0.16/0.37 # Propositional clauses : 0 0.16/0.37 # Propositional clauses after purity: 0 0.16/0.37 # Propositional unsat core size : 0 0.16/0.37 # Propositional preprocessing time : 0.000 0.16/0.37 # Propositional encoding time : 0.000 0.16/0.37 # Propositional solver time : 0.000 0.16/0.37 # Success case prop preproc time : 0.000 0.16/0.37 # Success case prop encoding time : 0.000 0.16/0.37 # Success case prop solver time : 0.000 0.16/0.37 # Current number of processed clauses : 88 0.16/0.37 # Positive orientable unit clauses : 49 0.16/0.37 # Positive unorientable unit clauses: 0 0.16/0.37 # Negative unit clauses : 16 0.16/0.37 # Non-unit-clauses : 23 0.16/0.37 # Current number of unprocessed clauses: 257 0.16/0.37 # ...number of literals in the above : 773 0.16/0.37 # Current number of archived formulas : 0 0.16/0.37 # Current number of archived clauses : 159 0.16/0.37 # Clause-clause subsumption calls (NU) : 1907 0.16/0.37 # Rec. Clause-clause subsumption calls : 1334 0.16/0.37 # Non-unit clause-clause subsumptions : 119 0.16/0.37 # Unit Clause-clause subsumption calls : 131 0.16/0.37 # Rewrite failures with RHS unbound : 0 0.16/0.37 # BW rewrite match attempts : 169 0.16/0.37 # BW rewrite match successes : 13 0.16/0.37 # Condensation attempts : 0 0.16/0.37 # Condensation successes : 0 0.16/0.37 # Termbank termtop insertions : 33492 0.16/0.37 0.16/0.37 # ------------------------------------------------- 0.16/0.37 # User time : 0.061 s 0.16/0.37 # System time : 0.004 s 0.16/0.37 # Total time : 0.065 s 0.16/0.37 # Maximum resident set size: 1852 pages 0.16/0.37 EOF