0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.34 % Computer : n017.cluster.edu 0.11/0.34 % Model : x86_64 x86_64 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.34 % Memory : 8042.1875MB 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.34 % CPULimit : 1920 0.11/0.34 % WCLimit : 240 0.11/0.34 % DateTime : Wed Jul 30 07:36:04 EDT 2025 0.11/0.34 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p 1.37/0.63 # Version: 3.0.0-ho 1.37/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 1.37/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.37/0.63 # Starting additional_ho_4 with 1200s (5) cores 1.37/0.63 # Starting pre_casc_8 with 240s (1) cores 1.37/0.63 # Starting pre_casc_5 with 240s (1) cores 1.37/0.63 # Starting pre_casc_6 with 240s (1) cores 1.37/0.63 # pre_casc_8 with pid 8664 completed with status 0 1.37/0.63 # Result found by pre_casc_8 1.37/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 1.37/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.37/0.63 # Starting additional_ho_4 with 1200s (5) cores 1.37/0.63 # Starting pre_casc_8 with 240s (1) cores 1.37/0.63 # SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true) 1.37/0.63 # Search class: HGHSM-FFMM31-DSFFFFBN 1.37/0.63 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 1.37/0.63 # Starting sh5 with 145s (1) cores 1.37/0.63 # sh5 with pid 8672 completed with status 0 1.37/0.63 # Result found by sh5 1.37/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 1.37/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.37/0.63 # Starting additional_ho_4 with 1200s (5) cores 1.37/0.63 # Starting pre_casc_8 with 240s (1) cores 1.37/0.63 # SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true) 1.37/0.63 # Search class: HGHSM-FFMM31-DSFFFFBN 1.37/0.63 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 1.37/0.63 # Starting sh5 with 145s (1) cores 1.37/0.63 # Preprocessing time : 0.004 s 1.37/0.63 # Presaturation interreduction done 1.37/0.63 1.37/0.63 # Proof found! 1.37/0.63 # SZS status Theorem 1.37/0.63 # SZS output start CNFRefutation 1.37/0.63 thf(decl_sort1, type, d: $tType). 1.37/0.63 thf(decl_sort2, type, u: $tType). 1.37/0.63 thf(decl_sort3, type, du: $tType). 1.37/0.63 thf(decl_sort4, type, mono_2Etyop_2Eextreal_2Eextreal: $tType). 1.37/0.63 thf(decl_23, type, tyop_2Eextreal_2Eextreal: d). 1.37/0.63 thf(decl_24, type, tyop_2Emin_2Ebool: d). 1.37/0.63 thf(decl_26, type, s: d > u > du). 1.37/0.63 thf(decl_42, type, c_2Ebool_2ECOND_2E3: du > du > du > u). 1.37/0.63 thf(decl_62, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(decl_63, type, mono_2Ec_2Ebool_2EF: $o). 1.37/0.63 thf(decl_64, type, mono_2Ec_2Ebool_2ET: $o). 1.37/0.63 thf(decl_66, type, mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o). 1.37/0.63 thf(decl_67, type, mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(decl_69, type, i_mono_2Etyop_2Emin_2Ebool: $o > u). 1.37/0.63 thf(decl_70, type, i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u). 1.37/0.63 thf(decl_79, type, j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(decl_87, type, esk1_0: mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(decl_88, type, esk2_0: mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(decl_89, type, esk3_0: mono_2Etyop_2Eextreal_2Eextreal). 1.37/0.63 thf(thm_2Ebool_2ECOND__CLAUSES, axiom, ![X7:d, X68:u, X69:u]:((((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2ET)))) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X68))&((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2EF)))) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X69)))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Ebool_2ECOND__CLAUSES)). 1.37/0.63 thf(thm_2Ebool_2EFALSITY, axiom, ![X3:$o]:(((X3)<=(mono_2Ec_2Ebool_2EF))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Ebool_2EFALSITY)). 1.37/0.63 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal, axiom, ![X40:$o, X2:mono_2Etyop_2Eextreal_2Eextreal, X41:mono_2Etyop_2Eextreal_2Eextreal]:(((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ((X40)) @ X2 @ X41)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X40)))) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X2)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X41)))))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal)). 1.37/0.63 thf(thm_2Ebool_2EIMP__CLAUSES, axiom, ![X3:$o]:(((((((mono_2Ec_2Ebool_2ET)<=>((X3)<=(mono_2Ec_2Ebool_2EF)))&(((X3)<=(X3))<=>(mono_2Ec_2Ebool_2ET)))&(~((X3))<=>((X3)=>(mono_2Ec_2Ebool_2EF))))&((mono_2Ec_2Ebool_2ET)<=>((mono_2Ec_2Ebool_2ET)<=(X3))))&(((mono_2Ec_2Ebool_2ET)=>(X3))<=>(X3)))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Ebool_2EIMP__CLAUSES)). 1.37/0.63 thf(thm_2Eextreal_2Eextreal__max__def, axiom, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__max @ X4 @ X5)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ((mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5)) @ X5 @ X4))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Eextreal_2Eextreal__max__def)). 1.37/0.63 thf(ji_2Emono_2Etyop_2Eextreal_2Eextreal, axiom, ![X34:mono_2Etyop_2Eextreal_2Eextreal]:(((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X34)))=(X34))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', ji_2Emono_2Etyop_2Eextreal_2Eextreal)). 1.37/0.63 thf(thm_2Eextreal_2Ele__trans, axiom, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal, X6:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X6)<=((mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X6)&(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Eextreal_2Ele__trans)). 1.37/0.63 thf(thm_2Eextreal_2Emax__le, conjecture, ![X14:mono_2Etyop_2Eextreal_2Eextreal, X15:mono_2Etyop_2Eextreal_2Eextreal, X16:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X15 @ X16) @ X14)<=>((mono_2Ec_2Eextreal_2Eextreal__le @ X15 @ X14)&(mono_2Ec_2Eextreal_2Eextreal__le @ X16 @ X14)))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Eextreal_2Emax__le)). 1.37/0.63 thf(thm_2Eextreal_2Ele__total, axiom, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X4)|(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5))), file('/export/starexec/sandbox/tmp/tmp.TrNOCSVsf8/E---3.1_8585.p', thm_2Eextreal_2Ele__total)). 1.37/0.63 thf(c_0_9, axiom, ![X7:d, X68:u, X69:u]:((((~(mono_2Ec_2Ebool_2ET)|((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X68)))&((mono_2Ec_2Ebool_2ET)|((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X68))))&((~(mono_2Ec_2Ebool_2EF)|((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X69)))&((mono_2Ec_2Ebool_2EF)|((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X7 @ X68) @ (s @ X7 @ X69)))=(s @ X7 @ X69)))))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES])). 1.37/0.63 thf(c_0_10, plain, ![X3:$o]:(((mono_2Ec_2Ebool_2EF)=>(X3))), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EFALSITY])). 1.37/0.63 thf(c_0_11, plain, ![X166:d, X167:u, X168:u]:((((~(mono_2Ec_2Ebool_2ET)|((s @ X166 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X166 @ X167) @ (s @ X166 @ X168)))=(s @ X166 @ X167)))&((mono_2Ec_2Ebool_2ET)|((s @ X166 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X166 @ X167) @ (s @ X166 @ X168)))=(s @ X166 @ X167))))&((~(mono_2Ec_2Ebool_2EF)|((s @ X166 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X166 @ X167) @ (s @ X166 @ X168)))=(s @ X166 @ X168)))&((mono_2Ec_2Ebool_2EF)|((s @ X166 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X166 @ X167) @ (s @ X166 @ X168)))=(s @ X166 @ X168)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])])). 1.37/0.63 thf(c_0_12, plain, ![X194:$o]:((~(mono_2Ec_2Ebool_2EF)|(X194))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])). 1.37/0.63 thf(c_0_13, plain, ![X7:d, X8:u, X13:u]:(((mono_2Ec_2Ebool_2EF)|((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X7 @ X8) @ (s @ X7 @ X13)))=(s @ X7 @ X13)))), inference(split_conjunct,[status(thm)],[c_0_11])). 1.37/0.63 thf(c_0_14, plain, ~((mono_2Ec_2Ebool_2EF)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12])])])). 1.37/0.63 thf(c_0_15, plain, ![X156:$o, X157:mono_2Etyop_2Eextreal_2Eextreal, X158:mono_2Etyop_2Eextreal_2Eextreal]:(((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ((X156)) @ X157 @ X158)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X156)))) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X157)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X158)))))), inference(variable_rename,[status(thm)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal])). 1.37/0.63 thf(c_0_16, plain, ![X3:$o]:(((((((mono_2Ec_2Ebool_2ET)<=>((mono_2Ec_2Ebool_2EF)=>(X3)))&(mono_2Ec_2Ebool_2ET))&(~(X3)<=>((X3)=>(mono_2Ec_2Ebool_2EF))))&((mono_2Ec_2Ebool_2ET)<=>((X3)=>(mono_2Ec_2Ebool_2ET))))&(((mono_2Ec_2Ebool_2ET)=>(X3))<=>(X3)))), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES])). 1.37/0.63 thf(c_0_17, axiom, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(((~(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5)|((mono_2Ec_2Eextreal_2Eextreal__max @ X4 @ X5)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X5 @ X4)))&((mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5)|((mono_2Ec_2Eextreal_2Eextreal__max @ X4 @ X5)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X5 @ X4))))), inference(fool_unroll,[status(thm)],[thm_2Eextreal_2Eextreal__max__def])). 1.37/0.63 thf(c_0_18, plain, ![X176:mono_2Etyop_2Eextreal_2Eextreal]:(((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X176)))=(X176))), inference(variable_rename,[status(thm)],[ji_2Emono_2Etyop_2Eextreal_2Eextreal])). 1.37/0.63 thf(c_0_19, plain, ![X7:d, X8:u, X13:u]:(((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X7 @ X8) @ (s @ X7 @ X13)))=(s @ X7 @ X13))), inference(sr,[status(thm)],[c_0_13, c_0_14])). 1.37/0.63 thf(c_0_20, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X3:$o, X4:mono_2Etyop_2Eextreal_2Eextreal]:(((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ((X3)) @ X2 @ X4)))=(s @ tyop_2Eextreal_2Eextreal @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X3)))) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X2)) @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X4)))))), inference(split_conjunct,[status(thm)],[c_0_15])). 1.37/0.63 thf(c_0_21, plain, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal, X6:mono_2Etyop_2Eextreal_2Eextreal]:((((mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X6)&(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5))=>(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X6))), inference(fof_simplification,[status(thm)],[thm_2Eextreal_2Ele__trans])). 1.37/0.63 thf(c_0_22, plain, ![X199:$o]:(((((((~(mono_2Ec_2Ebool_2ET)|(~(mono_2Ec_2Ebool_2EF)|(X199)))&(((mono_2Ec_2Ebool_2EF)|(mono_2Ec_2Ebool_2ET))&(~(X199)|(mono_2Ec_2Ebool_2ET))))&(mono_2Ec_2Ebool_2ET))&(((X199)|(~(X199)|(mono_2Ec_2Ebool_2EF)))&(((X199)|~(X199))&(~(mono_2Ec_2Ebool_2EF)|~(X199)))))&((~(mono_2Ec_2Ebool_2ET)|(~(X199)|(mono_2Ec_2Ebool_2ET)))&(((X199)|(mono_2Ec_2Ebool_2ET))&(~(mono_2Ec_2Ebool_2ET)|(mono_2Ec_2Ebool_2ET)))))&((((mono_2Ec_2Ebool_2ET)|(X199))&(~(X199)|(X199)))&(~(X199)|(~(mono_2Ec_2Ebool_2ET)|(X199)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])). 1.37/0.63 thf(c_0_23, negated_conjecture, ~(![X14:mono_2Etyop_2Eextreal_2Eextreal, X15:mono_2Etyop_2Eextreal_2Eextreal, X16:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ X15 @ X16) @ X14)<=>((mono_2Ec_2Eextreal_2Eextreal__le @ X15 @ X14)&(mono_2Ec_2Eextreal_2Eextreal__le @ X16 @ X14))))), inference(assume_negation,[status(cth)],[thm_2Eextreal_2Emax__le])). 1.37/0.63 thf(c_0_24, plain, ![X149:mono_2Etyop_2Eextreal_2Eextreal, X150:mono_2Etyop_2Eextreal_2Eextreal]:(((~(mono_2Ec_2Eextreal_2Eextreal__le @ X149 @ X150)|((mono_2Ec_2Eextreal_2Eextreal__max @ X149 @ X150)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X150 @ X149)))&((mono_2Ec_2Eextreal_2Eextreal__le @ X149 @ X150)|((mono_2Ec_2Eextreal_2Eextreal__max @ X149 @ X150)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X150 @ X149))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])])). 1.37/0.63 thf(c_0_25, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal]:(((j_mono_2Etyop_2Eextreal_2Eextreal @ (s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X2)))=(X2))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.37/0.63 thf(c_0_26, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal]:(((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (~($true)) @ X2 @ X4)))=(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X4)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 1.37/0.63 thf(c_0_27, plain, ![X151:mono_2Etyop_2Eextreal_2Eextreal, X152:mono_2Etyop_2Eextreal_2Eextreal, X153:mono_2Etyop_2Eextreal_2Eextreal]:((~(mono_2Ec_2Eextreal_2Eextreal__le @ X152 @ X153)|~(mono_2Ec_2Eextreal_2Eextreal__le @ X151 @ X152)|(mono_2Ec_2Eextreal_2Eextreal__le @ X151 @ X153))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])). 1.37/0.63 thf(c_0_28, plain, ![X154:mono_2Etyop_2Eextreal_2Eextreal, X155:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X155 @ X154)|(mono_2Ec_2Eextreal_2Eextreal__le @ X154 @ X155))), inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__total])). 1.37/0.63 thf(c_0_29, plain, ![X7:d, X13:u, X8:u]:((((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true)))) @ (s @ X7 @ X8) @ (s @ X7 @ X13)))=(s @ X7 @ X8))|~((mono_2Ec_2Ebool_2ET)))), inference(split_conjunct,[status(thm)],[c_0_11])). 1.37/0.63 thf(c_0_30, plain, (mono_2Ec_2Ebool_2ET), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22])])])). 1.37/0.63 thf(c_0_31, negated_conjecture, ((~(mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0)|(~(mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0)|~(mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ esk1_0)))&(((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0)|(mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0))&((mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ esk1_0)|(mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])). 1.37/0.63 thf(c_0_32, plain, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X2:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4)|((mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X4)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (~($true)) @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.37/0.63 thf(c_0_33, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (~($true)) @ X2 @ X4)=(X4))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_25])). 1.37/0.63 thf(c_0_34, plain, ![X5:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal, X2:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X4)|~((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4))|~((mono_2Ec_2Eextreal_2Eextreal__le @ X5 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_27])). 1.37/0.63 thf(c_0_35, plain, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X2:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4)|(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X2))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.37/0.63 thf(c_0_36, plain, ![X7:d, X13:u, X8:u]:(((s @ X7 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true)))) @ (s @ X7 @ X8) @ (s @ X7 @ X13)))=(s @ X7 @ X8))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])). 1.37/0.63 thf(c_0_37, negated_conjecture, (~((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0))|~((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0))|~((mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_31])). 1.37/0.63 thf(c_0_38, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal]:((((mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X4)=(X2))|(mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 1.37/0.63 thf(c_0_39, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal, X5:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4)|(mono_2Ec_2Eextreal_2Eextreal__le @ X4 @ X5)|~((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X5)))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 1.37/0.63 thf(c_0_40, plain, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X2:mono_2Etyop_2Eextreal_2Eextreal]:(((s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (($true)) @ X2 @ X4)))=(s @ tyop_2Eextreal_2Eextreal @ (i_mono_2Etyop_2Eextreal_2Eextreal @ X2)))), inference(spm,[status(thm)],[c_0_36, c_0_20])). 1.37/0.63 thf(c_0_41, negated_conjecture, ((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0)|(mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 1.37/0.63 thf(c_0_42, negated_conjecture, ((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk3_0)|~((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])). 1.37/0.63 thf(c_0_43, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal]:((((mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X4)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (($true)) @ X4 @ X2))|~((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.37/0.63 thf(c_0_44, plain, ![X4:mono_2Etyop_2Eextreal_2Eextreal, X2:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ (($true)) @ X2 @ X4)=(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_40]), c_0_25])). 1.37/0.63 thf(c_0_45, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_38]), c_0_42])). 1.37/0.63 thf(c_0_46, negated_conjecture, ((mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ esk1_0)|(mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 1.37/0.63 thf(c_0_47, plain, ![X2:mono_2Etyop_2Eextreal_2Eextreal, X4:mono_2Etyop_2Eextreal_2Eextreal]:((((mono_2Ec_2Eextreal_2Eextreal__max @ X2 @ X4)=(X4))|~((mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 1.37/0.63 thf(c_0_48, negated_conjecture, ![X2:mono_2Etyop_2Eextreal_2Eextreal]:(((mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ X2)|~((mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ X2)))), inference(spm,[status(thm)],[c_0_34, c_0_45])). 1.37/0.63 thf(c_0_49, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk3_0 @ esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_45])])). 1.37/0.63 thf(c_0_50, negated_conjecture, (mono_2Ec_2Eextreal_2Eextreal__le @ esk2_0 @ esk1_0), inference(spm,[status(thm)],[c_0_48, c_0_49])). 1.37/0.63 thf(c_0_51, negated_conjecture, ~((mono_2Ec_2Eextreal_2Eextreal__le @ (mono_2Ec_2Eextreal_2Eextreal__max @ esk2_0 @ esk3_0) @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_49])]), c_0_50])])). 1.37/0.63 thf(c_0_52, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_47]), c_0_49]), c_0_45])]), ['proof']). 1.37/0.63 # SZS output end CNFRefutation 1.37/0.63 # Parsed axioms : 145 1.37/0.63 # Removed by relevancy pruning/SinE : 99 1.37/0.63 # Initial clauses : 104 1.37/0.63 # Removed in clause preprocessing : 38 1.37/0.63 # Initial clauses in saturation : 66 1.37/0.63 # Processed clauses : 701 1.37/0.63 # ...of these trivial : 23 1.37/0.63 # ...subsumed : 452 1.37/0.63 # ...remaining for further processing : 226 1.37/0.63 # Other redundant clauses eliminated : 0 1.37/0.63 # Clauses deleted for lack of memory : 0 1.37/0.63 # Backward-subsumed : 6 1.37/0.63 # Backward-rewritten : 42 1.37/0.63 # Generated clauses : 4002 1.37/0.63 # ...of the previous two non-redundant : 3116 1.37/0.63 # ...aggressively subsumed : 0 1.37/0.63 # Contextual simplify-reflections : 11 1.37/0.63 # Paramodulations : 3893 1.37/0.63 # Factorizations : 42 1.37/0.63 # NegExts : 0 1.37/0.63 # Equation resolutions : 1 1.37/0.63 # Disequality decompositions : 0 1.37/0.63 # Total rewrite steps : 968 1.37/0.63 # ...of those cached : 750 1.37/0.63 # Propositional unsat checks : 0 1.37/0.63 # Propositional check models : 0 1.37/0.63 # Propositional check unsatisfiable : 0 1.37/0.63 # Propositional clauses : 0 1.37/0.63 # Propositional clauses after purity: 0 1.37/0.63 # Propositional unsat core size : 0 1.37/0.63 # Propositional preprocessing time : 0.000 1.37/0.63 # Propositional encoding time : 0.000 1.37/0.63 # Propositional solver time : 0.000 1.37/0.63 # Success case prop preproc time : 0.000 1.37/0.63 # Success case prop encoding time : 0.000 1.37/0.63 # Success case prop solver time : 0.000 1.37/0.63 # Current number of processed clauses : 130 1.37/0.63 # Positive orientable unit clauses : 45 1.37/0.63 # Positive unorientable unit clauses: 0 1.37/0.63 # Negative unit clauses : 3 1.37/0.63 # Non-unit-clauses : 82 1.37/0.63 # Current number of unprocessed clauses: 2466 1.37/0.63 # ...number of literals in the above : 13301 1.37/0.63 # Current number of archived formulas : 0 1.37/0.63 # Current number of archived clauses : 96 1.37/0.63 # Clause-clause subsumption calls (NU) : 12085 1.37/0.63 # Rec. Clause-clause subsumption calls : 5041 1.37/0.63 # Non-unit clause-clause subsumptions : 505 1.37/0.63 # Unit Clause-clause subsumption calls : 244 1.37/0.63 # Rewrite failures with RHS unbound : 0 1.37/0.63 # BW rewrite match attempts : 53 1.37/0.63 # BW rewrite match successes : 9 1.37/0.63 # Condensation attempts : 701 1.37/0.63 # Condensation successes : 50 1.37/0.63 # Termbank termtop insertions : 93410 1.37/0.63 # Search garbage collected termcells : 1442 1.37/0.63 1.37/0.63 # ------------------------------------------------- 1.37/0.63 # User time : 0.125 s 1.37/0.63 # System time : 0.006 s 1.37/0.63 # Total time : 0.131 s 1.37/0.63 # Maximum resident set size: 2320 pages 1.37/0.63 1.37/0.63 # ------------------------------------------------- 1.37/0.63 # User time : 0.129 s 1.37/0.63 # System time : 0.006 s 1.37/0.63 # Total time : 0.136 s 1.37/0.63 # Maximum resident set size: 1932 pages 1.37/0.63 % E exiting 1.37/0.63 % E exiting 1.37/0.63 EOF