0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 07:01:34 EDT 2025 0.13/0.34 % CPUTime : 0.21/0.48 Running higher-order theorem proving 0.21/0.51 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.5Z07keqfLX/E---3.1_21469.p 0.21/0.54 # Version: 3.0.0-ho 0.21/0.54 # partial match(1): HSLSSLSMSSSNSFA 0.21/0.54 # Preprocessing class: HSLMSLSMSSSNSFA. 0.21/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.54 # Starting additional_ho_4 with 1200s (5) cores 0.21/0.54 # Starting pre_casc_8 with 240s (1) cores 0.21/0.54 # Starting pre_casc_5 with 240s (1) cores 0.21/0.54 # Starting pre_casc_6 with 240s (1) cores 0.21/0.54 # pre_casc_6 with pid 21562 completed with status 0 0.21/0.54 # Result found by pre_casc_6 0.21/0.54 # partial match(1): HSLSSLSMSSSNSFA 0.21/0.54 # Preprocessing class: HSLMSLSMSSSNSFA. 0.21/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.54 # Starting additional_ho_4 with 1200s (5) cores 0.21/0.54 # Starting pre_casc_8 with 240s (1) cores 0.21/0.54 # Starting pre_casc_5 with 240s (1) cores 0.21/0.54 # Starting pre_casc_6 with 240s (1) cores 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.21/0.54 # Search class: HGHSM-FFMS31-DSFFFSBN 0.21/0.54 # partial match(2): HGHSM-FFMM31-DSFFFFBN 0.21/0.54 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.54 # Starting sh5 with 130s (1) cores 0.21/0.54 # sh5 with pid 21564 completed with status 0 0.21/0.54 # Result found by sh5 0.21/0.54 # partial match(1): HSLSSLSMSSSNSFA 0.21/0.54 # Preprocessing class: HSLMSLSMSSSNSFA. 0.21/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.54 # Starting additional_ho_4 with 1200s (5) cores 0.21/0.54 # Starting pre_casc_8 with 240s (1) cores 0.21/0.54 # Starting pre_casc_5 with 240s (1) cores 0.21/0.54 # Starting pre_casc_6 with 240s (1) cores 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.21/0.54 # Search class: HGHSM-FFMS31-DSFFFSBN 0.21/0.54 # partial match(2): HGHSM-FFMM31-DSFFFFBN 0.21/0.54 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.54 # Starting sh5 with 130s (1) cores 0.21/0.54 # Preprocessing time : 0.004 s 0.21/0.54 # Presaturation interreduction done 0.21/0.54 0.21/0.54 # Proof found! 0.21/0.54 # SZS status Theorem 0.21/0.54 # SZS output start CNFRefutation 0.21/0.54 thf(decl_sort1, type, d: $tType). 0.21/0.54 thf(decl_sort2, type, u: $tType). 0.21/0.54 thf(decl_sort3, type, du: $tType). 0.21/0.54 thf(decl_sort4, type, mono_2Etyop_2Einteger_2Eint: $tType). 0.21/0.54 thf(decl_sort5, type, mono_2Etyop_2Enum_2Enum: $tType). 0.21/0.54 thf(decl_24, type, tyop_2Efcp_2Ecart: d > d > d). 0.21/0.54 thf(decl_25, type, tyop_2Einteger_2Eint: d). 0.21/0.54 thf(decl_26, type, tyop_2Emin_2Ebool: d). 0.21/0.54 thf(decl_28, type, tyop_2Enum_2Enum: d). 0.21/0.54 thf(decl_29, type, s: d > u > du). 0.21/0.54 thf(decl_48, type, c_2Ebool_2ECOND_2E3: du > du > du > u). 0.21/0.54 thf(decl_60, type, c_2Einteger__word_2Ei2w_2E1: du > u). 0.21/0.54 thf(decl_68, type, c_2Ewords_2En2w_2E1: du > u). 0.21/0.54 thf(decl_71, type, c_2Ewords_2Eword__2comp_2E1: du > u). 0.21/0.54 thf(decl_86, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum). 0.21/0.54 thf(decl_87, type, mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 0.21/0.54 thf(decl_89, type, mono_2Ec_2Ebool_2EF: $o). 0.21/0.54 thf(decl_91, type, mono_2Ec_2Einteger_2ENum: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum). 0.21/0.54 thf(decl_92, type, mono_2Ec_2Ebool_2ET: $o). 0.21/0.54 thf(decl_94, type, mono_2Ec_2Einteger_2Eint__lt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o). 0.21/0.54 thf(decl_95, type, mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint). 0.21/0.54 thf(decl_96, type, mono_2Ec_2Einteger_2Eint__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint). 0.21/0.54 thf(decl_98, type, i_mono_2Etyop_2Emin_2Ebool: $o > u). 0.21/0.54 thf(decl_110, type, i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u). 0.21/0.54 thf(decl_111, type, i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u). 0.21/0.54 thf(decl_126, type, esk1_0: d). 0.21/0.54 thf(thm_2Ebool_2Ebool__case__thm, axiom, ![X1:d]:((![X76:u, X77:u]:(((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2ET)))) @ (s @ X1 @ X76) @ (s @ X1 @ X77)))=(s @ X1 @ X76)))&![X78:u, X79:u]:(((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2EF)))) @ (s @ X1 @ X78) @ (s @ X1 @ X79)))=(s @ X1 @ X79))))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Ebool_2Ebool__case__thm)). 0.21/0.54 thf(thm_2Einteger_2EINT__LT__CALCULATE, axiom, ![X25:mono_2Etyop_2Enum_2Enum, X26:mono_2Etyop_2Enum_2Enum]:((((((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X26))<=>(~(((X25)=(mono_2Ec_2Enum_2E0)))|~(((X26)=(mono_2Ec_2Enum_2E0)))))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X25) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X26)))<=>(mono_2Ec_2Ebool_2EF)))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X26)))<=>(mono_2Ec_2Eprim__rec_2E_3C @ X26 @ X25)))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X25) @ (mono_2Ec_2Einteger_2Eint__of__num @ X26))<=>(mono_2Ec_2Eprim__rec_2E_3C @ X25 @ X26)))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Einteger_2EINT__LT__CALCULATE)). 0.21/0.54 thf(thm_2Einteger__word_2Ei2w__def, axiom, ![X1:d, X15:mono_2Etyop_2Einteger_2Eint]:(((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X15))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Einteger_2Eint__lt @ X15 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X15)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X15))))))))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Einteger__word_2Ei2w__def)). 0.21/0.54 thf(thm_2Ebool_2EFALSITY, axiom, ![X51:$o]:(((mono_2Ec_2Ebool_2EF)=>(X51))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Ebool_2EFALSITY)). 0.21/0.54 thf(thm_2Einteger__word_2Ei2w__0, conjecture, ![X1:d]:(((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Einteger__word_2Ei2w__0)). 0.21/0.54 thf(thm_2Einteger_2ENUM__OF__INT, axiom, ![X25:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X25))=(X25))), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Einteger_2ENUM__OF__INT)). 0.21/0.54 thf(thm_2Einteger_2EINT__NEG__0, axiom, ((mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)), file('/export/starexec/sandbox/tmp/tmp.5Z07keqfLX/E---3.1_21469.p', thm_2Einteger_2EINT__NEG__0)). 0.21/0.54 thf(c_0_7, axiom, ![X1:d]:((![X76:u, X77:u]:(((~(mono_2Ec_2Ebool_2ET)|((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X76) @ (s @ X1 @ X77)))=(s @ X1 @ X76)))&((mono_2Ec_2Ebool_2ET)|((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X76) @ (s @ X1 @ X77)))=(s @ X1 @ X76)))))&![X78:u, X79:u]:(((~(mono_2Ec_2Ebool_2EF)|((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X78) @ (s @ X1 @ X79)))=(s @ X1 @ X79)))&((mono_2Ec_2Ebool_2EF)|((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X78) @ (s @ X1 @ X79)))=(s @ X1 @ X79))))))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2Ebool__case__thm])). 0.21/0.54 thf(c_0_8, plain, ![X25:mono_2Etyop_2Enum_2Enum, X26:mono_2Etyop_2Enum_2Enum]:((((((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X26))<=>(((X25)!=(mono_2Ec_2Enum_2E0))|((X26)!=(mono_2Ec_2Enum_2E0))))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X25) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X26)))<=>(mono_2Ec_2Ebool_2EF)))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X26)))<=>(mono_2Ec_2Eprim__rec_2E_3C @ X26 @ X25)))&((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X25) @ (mono_2Ec_2Einteger_2Eint__of__num @ X26))<=>(mono_2Ec_2Eprim__rec_2E_3C @ X25 @ X26)))), inference(fof_simplification,[status(thm)],[thm_2Einteger_2EINT__LT__CALCULATE])). 0.21/0.54 thf(c_0_9, axiom, ![X1:d, X15:mono_2Etyop_2Einteger_2Eint]:(((~(mono_2Ec_2Einteger_2Eint__lt @ X15 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))|((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X15))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X15)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X15)))))))))&((mono_2Ec_2Einteger_2Eint__lt @ X15 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))|((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X15))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X15)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X15))))))))))), inference(fool_unroll,[status(thm)],[thm_2Einteger__word_2Ei2w__def])). 0.21/0.54 thf(c_0_10, plain, ![X197:d, X198:u, X199:u, X200:u, X201:u]:((((~(mono_2Ec_2Ebool_2ET)|((s @ X197 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X197 @ X198) @ (s @ X197 @ X199)))=(s @ X197 @ X198)))&((mono_2Ec_2Ebool_2ET)|((s @ X197 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X197 @ X198) @ (s @ X197 @ X199)))=(s @ X197 @ X198))))&((~(mono_2Ec_2Ebool_2EF)|((s @ X197 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X197 @ X200) @ (s @ X197 @ X201)))=(s @ X197 @ X201)))&((mono_2Ec_2Ebool_2EF)|((s @ X197 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X197 @ X200) @ (s @ X197 @ X201)))=(s @ X197 @ X201)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])])])). 0.21/0.54 thf(c_0_11, plain, ![X210:$o]:((~(mono_2Ec_2Ebool_2EF)|(X210))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ebool_2EFALSITY])])])). 0.21/0.54 thf(c_0_12, plain, ![X174:mono_2Etyop_2Enum_2Enum, X175:mono_2Etyop_2Enum_2Enum]:((((((~(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X174)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X175))|(((X174)!=(mono_2Ec_2Enum_2E0))|((X175)!=(mono_2Ec_2Enum_2E0))))&((((X174)=(mono_2Ec_2Enum_2E0))|(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X174)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X175)))&(((X175)=(mono_2Ec_2Enum_2E0))|(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X174)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X175)))))&((~(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X174) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X175)))|(mono_2Ec_2Ebool_2EF))&(~(mono_2Ec_2Ebool_2EF)|(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X174) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X175))))))&((~(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X174)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X175)))|(mono_2Ec_2Eprim__rec_2E_3C @ X175 @ X174))&(~(mono_2Ec_2Eprim__rec_2E_3C @ X175 @ X174)|(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X174)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X175))))))&((~(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X174) @ (mono_2Ec_2Einteger_2Eint__of__num @ X175))|(mono_2Ec_2Eprim__rec_2E_3C @ X174 @ X175))&(~(mono_2Ec_2Eprim__rec_2E_3C @ X174 @ X175)|(mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X174) @ (mono_2Ec_2Einteger_2Eint__of__num @ X175)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 0.21/0.54 thf(c_0_13, plain, ![X171:d, X172:mono_2Etyop_2Einteger_2Eint]:(((~(mono_2Ec_2Einteger_2Eint__lt @ X172 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))|((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X172))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X172)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X172)))))))))&((mono_2Ec_2Einteger_2Eint__lt @ X172 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))|((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X172))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X172)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X171) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X172))))))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])])). 0.21/0.54 thf(c_0_14, plain, ![X1:d, X2:u, X3:u]:(((mono_2Ec_2Ebool_2EF)|((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.21/0.54 thf(c_0_15, plain, ~((mono_2Ec_2Ebool_2EF)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])])). 0.21/0.54 thf(c_0_16, plain, ![X13:mono_2Etyop_2Enum_2Enum, X25:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Ebool_2EF)|~((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X13) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25)))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.21/0.54 thf(c_0_17, negated_conjecture, ~(![X1:d]:(((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))), inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0])). 0.21/0.54 thf(c_0_18, plain, ![X1:d, X6:mono_2Etyop_2Einteger_2Eint]:(((mono_2Ec_2Einteger_2Eint__lt @ X6 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))|((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X6))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X6)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X6)))))))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.54 thf(c_0_19, plain, ![X1:d, X2:u, X3:u]:(((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X1 @ X2) @ (s @ X1 @ X3)))=(s @ X1 @ X3))), inference(sr,[status(thm)],[c_0_14, c_0_15])). 0.21/0.54 thf(c_0_20, plain, ![X181:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X181))=(X181))), inference(variable_rename,[status(thm)],[thm_2Einteger_2ENUM__OF__INT])). 0.21/0.54 thf(c_0_21, plain, ![X13:mono_2Etyop_2Enum_2Enum, X25:mono_2Etyop_2Enum_2Enum]:(~((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X13) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X25))))), inference(sr,[status(thm)],[c_0_16, c_0_15])). 0.21/0.54 thf(c_0_22, plain, ((mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)), inference(split_conjunct,[status(thm)],[thm_2Einteger_2EINT__NEG__0])). 0.21/0.54 thf(c_0_23, negated_conjecture, ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])). 0.21/0.54 thf(c_0_24, plain, ![X1:d, X6:mono_2Etyop_2Einteger_2Eint]:((((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X6)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X6)))))|(mono_2Ec_2Einteger_2Eint__lt @ X6 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))), inference(rw,[status(thm)],[c_0_18, c_0_19])). 0.21/0.54 thf(c_0_25, plain, ![X13:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X13))=(X13))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.21/0.54 thf(c_0_26, plain, ![X13:mono_2Etyop_2Enum_2Enum]:(~((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X13) @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.21/0.54 thf(c_0_27, negated_conjecture, ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.21/0.54 thf(c_0_28, plain, ![X1:d, X13:mono_2Etyop_2Enum_2Enum]:(((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ X13)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X13)))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 0.21/0.54 thf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), ['proof']). 0.21/0.54 # SZS output end CNFRefutation 0.21/0.54 # Parsed axioms : 194 0.21/0.54 # Removed by relevancy pruning/SinE : 156 0.21/0.54 # Initial clauses : 64 0.21/0.54 # Removed in clause preprocessing : 9 0.21/0.54 # Initial clauses in saturation : 55 0.21/0.54 # Processed clauses : 112 0.21/0.54 # ...of these trivial : 5 0.21/0.54 # ...subsumed : 16 0.21/0.54 # ...remaining for further processing : 91 0.21/0.54 # Other redundant clauses eliminated : 2 0.21/0.54 # Clauses deleted for lack of memory : 0 0.21/0.54 # Backward-subsumed : 1 0.21/0.54 # Backward-rewritten : 1 0.21/0.54 # Generated clauses : 122 0.21/0.54 # ...of the previous two non-redundant : 43 0.21/0.54 # ...aggressively subsumed : 0 0.21/0.54 # Contextual simplify-reflections : 0 0.21/0.54 # Paramodulations : 95 0.21/0.54 # Factorizations : 2 0.21/0.54 # NegExts : 0 0.21/0.54 # Equation resolutions : 2 0.21/0.54 # Disequality decompositions : 0 0.21/0.54 # Total rewrite steps : 69 0.21/0.54 # ...of those cached : 21 0.21/0.54 # Propositional unsat checks : 0 0.21/0.54 # Propositional check models : 0 0.21/0.54 # Propositional check unsatisfiable : 0 0.21/0.54 # Propositional clauses : 0 0.21/0.54 # Propositional clauses after purity: 0 0.21/0.54 # Propositional unsat core size : 0 0.21/0.54 # Propositional preprocessing time : 0.000 0.21/0.54 # Propositional encoding time : 0.000 0.21/0.54 # Propositional solver time : 0.000 0.21/0.54 # Success case prop preproc time : 0.000 0.21/0.54 # Success case prop encoding time : 0.000 0.21/0.54 # Success case prop solver time : 0.000 0.21/0.54 # Current number of processed clauses : 39 0.21/0.54 # Positive orientable unit clauses : 17 0.21/0.54 # Positive unorientable unit clauses: 0 0.21/0.54 # Negative unit clauses : 5 0.21/0.54 # Non-unit-clauses : 17 0.21/0.54 # Current number of unprocessed clauses: 34 0.21/0.54 # ...number of literals in the above : 55 0.21/0.54 # Current number of archived formulas : 0 0.21/0.54 # Current number of archived clauses : 51 0.21/0.54 # Clause-clause subsumption calls (NU) : 52 0.21/0.54 # Rec. Clause-clause subsumption calls : 44 0.21/0.54 # Non-unit clause-clause subsumptions : 8 0.21/0.54 # Unit Clause-clause subsumption calls : 15 0.21/0.54 # Rewrite failures with RHS unbound : 0 0.21/0.54 # BW rewrite match attempts : 16 0.21/0.54 # BW rewrite match successes : 1 0.21/0.54 # Condensation attempts : 112 0.21/0.54 # Condensation successes : 0 0.21/0.54 # Termbank termtop insertions : 11305 0.21/0.54 # Search garbage collected termcells : 1281 0.21/0.54 0.21/0.54 # ------------------------------------------------- 0.21/0.54 # User time : 0.012 s 0.21/0.54 # System time : 0.008 s 0.21/0.54 # Total time : 0.020 s 0.21/0.54 # Maximum resident set size: 2316 pages 0.21/0.54 0.21/0.54 # ------------------------------------------------- 0.21/0.54 # User time : 0.019 s 0.21/0.54 # System time : 0.010 s 0.21/0.54 # Total time : 0.029 s 0.21/0.54 # Maximum resident set size: 1988 pages 0.21/0.54 % E exiting 0.21/0.55 % E exiting 0.21/0.55 EOF