0.07/0.17 % Problem : Vampire---4.8_19149 : TPTP v0.0.0. Released v0.0.0. 0.07/0.18 % Command : run_E %s %d THM 0.16/0.39 % Computer : n012.cluster.edu 0.16/0.39 % Model : x86_64 x86_64 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.39 % Memory : 8042.1875MB 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.39 % CPULimit : 1440 0.16/0.39 % WCLimit : 180 0.16/0.39 % DateTime : Mon Jul 3 12:46:22 EDT 2023 0.16/0.39 % CPUTime : 0.22/0.54 Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149 0.22/0.54 # Version: 3.1pre001-ho 0.78/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 0.78/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.78/0.63 # Starting additional_ho_4 with 900s (5) cores 0.78/0.63 # Starting pre_casc_8 with 180s (1) cores 0.78/0.63 # Starting pre_casc_5 with 180s (1) cores 0.78/0.63 # Starting pre_casc_6 with 180s (1) cores 0.78/0.63 # additional_ho_4 with pid 19327 completed with status 0 0.78/0.63 # Result found by additional_ho_4 0.78/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 0.78/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.78/0.63 # Starting additional_ho_4 with 900s (5) cores 0.78/0.63 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.78/0.63 # Search class: HGHSM-FFLM32-DSFFFFBN 0.78/0.63 # Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.78/0.63 # Starting lpo8_s with 541s (1) cores 0.78/0.63 # Starting pre_casc_8 with 91s (1) cores 0.78/0.63 # Starting additional_ho_4 with 91s (1) cores 0.78/0.63 # Starting pre_casc_6 with 91s (1) cores 0.78/0.63 # Starting pre_casc_5 with 86s (1) cores 0.78/0.63 # pre_casc_8 with pid 19335 completed with status 0 0.78/0.63 # Result found by pre_casc_8 0.78/0.63 # Preprocessing class: HSLSSLSMSSSNSFA. 0.78/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.78/0.63 # Starting additional_ho_4 with 900s (5) cores 0.78/0.63 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.78/0.63 # Search class: HGHSM-FFLM32-DSFFFFBN 0.78/0.63 # Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.78/0.63 # Starting lpo8_s with 541s (1) cores 0.78/0.63 # Starting pre_casc_8 with 91s (1) cores 0.78/0.63 # Preprocessing time : 0.004 s 0.78/0.63 # Presaturation interreduction done 0.78/0.63 0.78/0.63 # Proof found! 0.78/0.63 # SZS status Theorem 0.78/0.63 # SZS output start CNFRefutation 0.78/0.63 thf(decl_22, type, tyop_2Emin_2Ebool: d). 0.78/0.63 thf(decl_24, type, tyop_2Enum_2Enum: d). 0.78/0.63 thf(decl_25, type, s: d > u > du). 0.78/0.63 thf(decl_52, type, c_2Ebool_2ECOND_2E3: du > du > du > u). 0.78/0.63 thf(decl_78, type, mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_79, type, mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_81, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_82, type, mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 0.78/0.63 thf(decl_84, type, mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_85, type, mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_87, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_88, type, mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o). 0.78/0.63 thf(decl_89, type, mono_2Ec_2Ebool_2EF: $o). 0.78/0.63 thf(decl_90, type, mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_91, type, mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_92, type, mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o). 0.78/0.63 thf(decl_93, type, mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_94, type, mono_2Ec_2Ebool_2ET: $o). 0.78/0.63 thf(decl_95, type, mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_98, type, i_mono_2Etyop_2Emin_2Ebool: $o > u). 0.78/0.63 thf(decl_107, type, i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u). 0.78/0.63 thf(decl_117, type, j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_118, type, esk1_0: mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_119, type, esk2_1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(decl_120, type, esk3_1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 0.78/0.63 thf(thm_2Earithmetic_2ELESS__MONO__EQ, axiom, ![X44:mono_2Etyop_2Enum_2Enum, X53:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X44) @ (mono_2Ec_2Enum_2ESUC @ X53))<=>(mono_2Ec_2Eprim__rec_2E_3C @ X44 @ X53))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2ELESS__MONO__EQ)). 0.78/0.63 thf(thm_2Eprim__rec_2ELESS__0, axiom, ![X34:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X34))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Eprim__rec_2ELESS__0)). 0.78/0.63 thf(thm_2Earithmetic_2EMOD__UNIQUE, axiom, ![X34:mono_2Etyop_2Enum_2Enum, X35:mono_2Etyop_2Enum_2Enum, X36:mono_2Etyop_2Enum_2Enum]:((?[X37:mono_2Etyop_2Enum_2Enum]:((((X35)=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X37 @ X34) @ X36))&(mono_2Ec_2Eprim__rec_2E_3C @ X36 @ X34)))=>((mono_2Ec_2Earithmetic_2EMOD @ X35 @ X34)=(X36)))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EMOD__UNIQUE)). 0.78/0.63 thf(thm_2Earithmetic_2ETWO, axiom, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2ETWO)). 0.78/0.63 thf(thm_2Earithmetic_2EONE, axiom, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EONE)). 0.78/0.63 thf(thm_2Earithmetic_2EADD1, axiom, ![X44:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X44)=(mono_2Ec_2Earithmetic_2E_2B @ X44 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EADD1)). 0.78/0.63 thf(thm_2Earithmetic_2EEVEN__ODD, axiom, ![X34:mono_2Etyop_2Enum_2Enum]:((~((mono_2Ec_2Earithmetic_2EODD @ X34))<=>(mono_2Ec_2Earithmetic_2EEVEN @ X34))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EEVEN__ODD)). 0.78/0.63 thf(thm_2Ebool_2ECOND__CLAUSES, axiom, ![X3:d, X32:u, X33:u]:((((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2EF)))) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X33))&((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((mono_2Ec_2Ebool_2ET)))) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X32)))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Ebool_2ECOND__CLAUSES)). 0.78/0.63 thf(thm_2Ebool_2EOR__CLAUSES, axiom, ![X2:$o]:((((((((mono_2Ec_2Ebool_2ET)|(X2))<=>(mono_2Ec_2Ebool_2ET))&(((X2)|(mono_2Ec_2Ebool_2EF))<=>(X2)))&(((X2)|(mono_2Ec_2Ebool_2EF))<=>(X2)))&((X2)<=>((X2)|(X2))))&((mono_2Ec_2Ebool_2ET)<=>((X2)|(mono_2Ec_2Ebool_2ET))))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Ebool_2EOR__CLAUSES)). 0.78/0.63 thf(thm_2Earithmetic_2EMOD__2, conjecture, ![X34:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EMOD @ X34 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((mono_2Ec_2Earithmetic_2EEVEN @ X34)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EMOD__2)). 0.78/0.63 thf(thm_2Earithmetic_2EMULT__COMM, axiom, ![X44:mono_2Etyop_2Enum_2Enum, X53:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2A @ X44 @ X53)=(mono_2Ec_2Earithmetic_2E_2A @ X53 @ X44))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EMULT__COMM)). 0.78/0.63 thf(thm_2Earithmetic_2EODD__EXISTS, axiom, ![X34:mono_2Etyop_2Enum_2Enum]:((?[X73:mono_2Etyop_2Enum_2Enum]:(((X34)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X73))))<=>(mono_2Ec_2Earithmetic_2EODD @ X34))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EODD__EXISTS)). 0.78/0.63 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum, axiom, ![X19:$o, X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:(((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((X19)) @ X20 @ X21)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X19)))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X20)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum)). 0.78/0.63 thf(ji_2Emono_2Etyop_2Enum_2Enum, axiom, ![X91:mono_2Etyop_2Enum_2Enum]:(((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X91)))=(X91))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', ji_2Emono_2Etyop_2Enum_2Enum)). 0.78/0.63 thf(thm_2Earithmetic_2EADD__0, axiom, ![X44:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2B @ X44 @ mono_2Ec_2Enum_2E0)=(X44))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EADD__0)). 0.78/0.63 thf(thm_2Earithmetic_2EEVEN__EXISTS, axiom, ![X34:mono_2Etyop_2Enum_2Enum]:((?[X73:mono_2Etyop_2Enum_2Enum]:(((X34)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X73)))<=>(mono_2Ec_2Earithmetic_2EEVEN @ X34))), file('/export/starexec/sandbox/tmp/tmp.3fLFGmE6gH/Vampire---4.8_19149', thm_2Earithmetic_2EEVEN__EXISTS)). 0.78/0.63 thf(c_0_16, plain, ![X437:mono_2Etyop_2Enum_2Enum, X438:mono_2Etyop_2Enum_2Enum]:(((~(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X437) @ (mono_2Ec_2Enum_2ESUC @ X438))|(mono_2Ec_2Eprim__rec_2E_3C @ X437 @ X438))&(~(mono_2Ec_2Eprim__rec_2E_3C @ X437 @ X438)|(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X437) @ (mono_2Ec_2Enum_2ESUC @ X438))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2ELESS__MONO__EQ])])). 0.78/0.63 thf(c_0_17, plain, ![X273:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X273))), inference(variable_rename,[status(thm)],[thm_2Eprim__rec_2ELESS__0])). 0.78/0.63 thf(c_0_18, plain, ![X276:mono_2Etyop_2Enum_2Enum, X277:mono_2Etyop_2Enum_2Enum, X278:mono_2Etyop_2Enum_2Enum, X279:mono_2Etyop_2Enum_2Enum]:((((X277)!=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X279 @ X276) @ X278))|~(mono_2Ec_2Eprim__rec_2E_3C @ X278 @ X276)|((mono_2Ec_2Earithmetic_2EMOD @ X277 @ X276)=(X278)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2EMOD__UNIQUE])])])). 0.78/0.63 thf(c_0_19, plain, ![X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X20) @ (mono_2Ec_2Enum_2ESUC @ X21))|~((mono_2Ec_2Eprim__rec_2E_3C @ X20 @ X21)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.78/0.63 thf(c_0_20, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X20))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.78/0.63 thf(c_0_21, plain, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2ETWO])). 0.78/0.63 thf(c_0_22, plain, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2EONE])). 0.78/0.63 thf(c_0_23, plain, ![X271:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X271)=(mono_2Ec_2Earithmetic_2E_2B @ X271 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EADD1])). 0.78/0.63 thf(c_0_24, plain, ![X21:mono_2Etyop_2Enum_2Enum, X20:mono_2Etyop_2Enum_2Enum, X34:mono_2Etyop_2Enum_2Enum, X30:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X20 @ X30)=(X34))|((X20)!=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X21 @ X30) @ X34))|~((mono_2Ec_2Eprim__rec_2E_3C @ X34 @ X30)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.78/0.63 thf(c_0_25, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ X20)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.78/0.63 thf(c_0_26, plain, ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))), inference(rw,[status(thm)],[c_0_21, c_0_22])). 0.78/0.63 thf(c_0_27, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X20)=(mono_2Ec_2Earithmetic_2E_2B @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.78/0.63 thf(c_0_28, plain, ![X34:mono_2Etyop_2Enum_2Enum]:((~(mono_2Ec_2Earithmetic_2EODD @ X34)<=>(mono_2Ec_2Earithmetic_2EEVEN @ X34))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EEVEN__ODD])). 0.78/0.63 thf(c_0_29, axiom, ![X3:d, X32:u, X33:u]:((((~(mono_2Ec_2Ebool_2EF)|((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X33)))&((mono_2Ec_2Ebool_2EF)|((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X33))))&((~(mono_2Ec_2Ebool_2ET)|((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X32)))&((mono_2Ec_2Ebool_2ET)|((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X3 @ X32) @ (s @ X3 @ X33)))=(s @ X3 @ X32)))))), inference(fool_unroll,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES])). 0.78/0.63 thf(c_0_30, plain, ![X2:$o]:(((((((mono_2Ec_2Ebool_2ET)|(X2))<=>(mono_2Ec_2Ebool_2ET))&(((X2)|(mono_2Ec_2Ebool_2EF))<=>(X2)))&(((X2)|(mono_2Ec_2Ebool_2EF))<=>(X2)))&((mono_2Ec_2Ebool_2ET)<=>((X2)|(mono_2Ec_2Ebool_2ET))))), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EOR__CLAUSES])). 0.78/0.63 thf(c_0_31, negated_conjecture, ~(![X34:mono_2Etyop_2Enum_2Enum]:(((~(mono_2Ec_2Earithmetic_2EEVEN @ X34)|((mono_2Ec_2Earithmetic_2EMOD @ X34 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))&((mono_2Ec_2Earithmetic_2EEVEN @ X34)|((mono_2Ec_2Earithmetic_2EMOD @ X34 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Earithmetic_2EMOD__2])])). 0.78/0.63 thf(c_0_32, plain, ![X30:mono_2Etyop_2Enum_2Enum, X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X20 @ X21) @ X30) @ X21)=(X30))|~((mono_2Ec_2Eprim__rec_2E_3C @ X30 @ X21)))), inference(er,[status(thm)],[c_0_24])). 0.78/0.63 thf(c_0_33, plain, (mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.78/0.63 thf(c_0_34, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2B @ X20 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ X20))), inference(rw,[status(thm)],[c_0_27, c_0_22])). 0.78/0.63 thf(c_0_35, plain, ![X439:mono_2Etyop_2Enum_2Enum, X440:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2A @ X439 @ X440)=(mono_2Ec_2Earithmetic_2E_2A @ X440 @ X439))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EMULT__COMM])). 0.78/0.63 thf(c_0_36, plain, ![X267:mono_2Etyop_2Enum_2Enum, X268:mono_2Etyop_2Enum_2Enum, X269:mono_2Etyop_2Enum_2Enum]:(((((X267)!=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X268)))|(mono_2Ec_2Earithmetic_2EODD @ X267))&(~(mono_2Ec_2Earithmetic_2EODD @ X269)|((X269)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk3_1 @ X269))))))), 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_2Earithmetic_2EODD__EXISTS])])])])])). 0.78/0.63 thf(c_0_37, plain, ![X274:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EODD @ X274)|(mono_2Ec_2Earithmetic_2EEVEN @ X274))&(~(mono_2Ec_2Earithmetic_2EEVEN @ X274)|~(mono_2Ec_2Earithmetic_2EODD @ X274)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])). 0.78/0.63 thf(c_0_38, plain, ![X389:d, X390:u, X391:u]:((((~(mono_2Ec_2Ebool_2EF)|((s @ X389 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X389 @ X390) @ (s @ X389 @ X391)))=(s @ X389 @ X391)))&((mono_2Ec_2Ebool_2EF)|((s @ X389 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X389 @ X390) @ (s @ X389 @ X391)))=(s @ X389 @ X391))))&((~(mono_2Ec_2Ebool_2ET)|((s @ X389 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X389 @ X390) @ (s @ X389 @ X391)))=(s @ X389 @ X390)))&((mono_2Ec_2Ebool_2ET)|((s @ X389 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X389 @ X390) @ (s @ X389 @ X391)))=(s @ X389 @ X390)))))), inference(variable_rename,[status(thm)],[c_0_29])). 0.78/0.63 thf(c_0_39, plain, ![X444:$o]:(((((((~(mono_2Ec_2Ebool_2ET)|(mono_2Ec_2Ebool_2ET))&(~(X444)|(mono_2Ec_2Ebool_2ET)))&(~(mono_2Ec_2Ebool_2ET)|((mono_2Ec_2Ebool_2ET)|(X444))))&(((~(X444)|(X444))&(~(mono_2Ec_2Ebool_2EF)|(X444)))&(~(X444)|((X444)|(mono_2Ec_2Ebool_2EF)))))&(((~(X444)|(X444))&(~(mono_2Ec_2Ebool_2EF)|(X444)))&(~(X444)|((X444)|(mono_2Ec_2Ebool_2EF)))))&((~(mono_2Ec_2Ebool_2ET)|((X444)|(mono_2Ec_2Ebool_2ET)))&((~(X444)|(mono_2Ec_2Ebool_2ET))&(~(mono_2Ec_2Ebool_2ET)|(mono_2Ec_2Ebool_2ET)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])). 0.78/0.63 thf(c_0_40, negated_conjecture, (((~(mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|(mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))&(((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))|(mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)))&((~(mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))&(((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])). 0.78/0.63 thf(c_0_41, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])). 0.78/0.63 thf(c_0_42, plain, ![X21:mono_2Etyop_2Enum_2Enum, X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2A @ X20 @ X21)=(mono_2Ec_2Earithmetic_2E_2A @ X21 @ X20))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.78/0.63 thf(c_0_43, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((((X20)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk3_1 @ X20))))|~((mono_2Ec_2Earithmetic_2EODD @ X20)))), inference(split_conjunct,[status(thm)],[c_0_36])). 0.78/0.63 thf(c_0_44, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EODD @ X20)|(mono_2Ec_2Earithmetic_2EEVEN @ X20))), inference(split_conjunct,[status(thm)],[c_0_37])). 0.78/0.63 thf(c_0_45, plain, ![X260:$o, X261:mono_2Etyop_2Enum_2Enum, X262:mono_2Etyop_2Enum_2Enum]:(((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((X260)) @ X261 @ X262)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X260)))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X261)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X262)))))), inference(variable_rename,[status(thm)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum])). 0.78/0.63 thf(c_0_46, plain, ![X3:d, X4:u, X6:u]:(((mono_2Ec_2Ebool_2EF)|((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X3 @ X4) @ (s @ X3 @ X6)))=(s @ X3 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.78/0.63 thf(c_0_47, plain, ~((mono_2Ec_2Ebool_2EF)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_39])])])). 0.78/0.63 thf(c_0_48, plain, ![X3:d, X6:u, X4:u]:((((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true)))) @ (s @ X3 @ X4) @ (s @ X3 @ X6)))=(s @ X3 @ X4))|~((mono_2Ec_2Ebool_2ET)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.78/0.63 thf(c_0_49, plain, (mono_2Ec_2Ebool_2ET), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_39])])])). 0.78/0.63 thf(c_0_50, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.78/0.63 thf(c_0_51, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X20)) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.78/0.63 thf(c_0_52, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk3_1 @ X20)))=(X20))|(mono_2Ec_2Earithmetic_2EEVEN @ X20))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.78/0.63 thf(c_0_53, plain, ![X426:mono_2Etyop_2Enum_2Enum]:(((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X426)))=(X426))), inference(variable_rename,[status(thm)],[ji_2Emono_2Etyop_2Enum_2Enum])). 0.78/0.63 thf(c_0_54, plain, ![X1:$o, X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:(((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((X1)) @ X20 @ X21)))=(s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X1)))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X20)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X21)))))), inference(split_conjunct,[status(thm)],[c_0_45])). 0.78/0.63 thf(c_0_55, plain, ![X3:d, X4:u, X6:u]:(((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))) @ (s @ X3 @ X4) @ (s @ X3 @ X6)))=(s @ X3 @ X6))), inference(sr,[status(thm)],[c_0_46, c_0_47])). 0.78/0.63 thf(c_0_56, plain, ![X3:d, X6:u, X4:u]:(((s @ X3 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true)))) @ (s @ X3 @ X4) @ (s @ X3 @ X6)))=(s @ X3 @ X4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])). 0.78/0.63 thf(c_0_57, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))), inference(rw,[status(thm)],[c_0_50, c_0_22])). 0.78/0.63 thf(c_0_58, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))|(mono_2Ec_2Earithmetic_2EEVEN @ X20))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.78/0.63 thf(c_0_59, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X20)))=(X20))), inference(split_conjunct,[status(thm)],[c_0_53])). 0.78/0.63 thf(c_0_60, plain, ![X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:(((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ X20 @ X21)))=(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X21)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.78/0.63 thf(c_0_61, negated_conjecture, (~((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.78/0.63 thf(c_0_62, plain, ![X21:mono_2Etyop_2Enum_2Enum, X20:mono_2Etyop_2Enum_2Enum]:(((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ X20 @ X21)))=(s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X20)))), inference(spm,[status(thm)],[c_0_56, c_0_54])). 0.78/0.63 thf(c_0_63, plain, ![X272:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2B @ X272 @ mono_2Ec_2Enum_2E0)=(X272))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EADD__0])). 0.78/0.63 thf(c_0_64, plain, ![X263:mono_2Etyop_2Enum_2Enum, X264:mono_2Etyop_2Enum_2Enum, X265:mono_2Etyop_2Enum_2Enum]:(((((X263)!=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X264))|(mono_2Ec_2Earithmetic_2EEVEN @ X263))&(~(mono_2Ec_2Earithmetic_2EEVEN @ X265)|((X265)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk2_1 @ X265)))))), 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_2Earithmetic_2EEVEN__EXISTS])])])])])). 0.78/0.63 thf(c_0_65, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))!=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.78/0.63 thf(c_0_66, plain, ![X20:mono_2Etyop_2Enum_2Enum, X21:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ X20 @ X21)=(X21))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_59])). 0.78/0.63 thf(c_0_67, negated_conjecture, (((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))|~((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))), inference(rw,[status(thm)],[c_0_61, c_0_22])). 0.78/0.63 thf(c_0_68, plain, ![X21:mono_2Etyop_2Enum_2Enum, X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ X20 @ X21)=(X20))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_62]), c_0_59])). 0.78/0.63 thf(c_0_69, plain, (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))), inference(spm,[status(thm)],[c_0_20, c_0_26])). 0.78/0.63 thf(c_0_70, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2B @ X20 @ mono_2Ec_2Enum_2E0)=(X20))), inference(split_conjunct,[status(thm)],[c_0_63])). 0.78/0.63 thf(c_0_71, plain, ![X20:mono_2Etyop_2Enum_2Enum]:((((X20)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk2_1 @ X20)))|~((mono_2Ec_2Earithmetic_2EEVEN @ X20)))), inference(split_conjunct,[status(thm)],[c_0_64])). 0.78/0.63 thf(c_0_72, negated_conjecture, (mono_2Ec_2Earithmetic_2EEVEN @ esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])). 0.78/0.63 thf(c_0_73, negated_conjecture, (((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))), inference(rw,[status(thm)],[c_0_67, c_0_68])). 0.78/0.63 thf(c_0_74, plain, ![X20:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Earithmetic_2E_2A @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_69]), c_0_70])). 0.78/0.63 thf(c_0_75, negated_conjecture, ((mono_2Ec_2Earithmetic_2E_2A @ (esk2_1 @ esk1_0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(esk1_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_42])). 0.78/0.63 thf(c_0_76, negated_conjecture, ((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Enum_2E0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_72])])). 0.78/0.63 thf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76]), ['proof']). 0.78/0.63 # SZS output end CNFRefutation 0.78/0.63 # Parsed axioms : 215 0.78/0.63 # Removed by relevancy pruning/SinE : 137 0.78/0.63 # Initial clauses : 196 0.78/0.63 # Removed in clause preprocessing : 71 0.78/0.63 # Initial clauses in saturation : 125 0.78/0.63 # Processed clauses : 342 0.78/0.63 # ...of these trivial : 26 0.78/0.63 # ...subsumed : 69 0.78/0.63 # ...remaining for further processing : 247 0.78/0.63 # Other redundant clauses eliminated : 3 0.78/0.63 # Clauses deleted for lack of memory : 0 0.78/0.63 # Backward-subsumed : 0 0.78/0.63 # Backward-rewritten : 8 0.78/0.63 # Generated clauses : 1693 0.78/0.63 # ...of the previous two non-redundant : 1146 0.78/0.63 # ...aggressively subsumed : 0 0.78/0.63 # Contextual simplify-reflections : 0 0.78/0.63 # Paramodulations : 1627 0.78/0.63 # Factorizations : 0 0.78/0.63 # NegExts : 0 0.78/0.63 # Equation resolutions : 4 0.78/0.63 # Total rewrite steps : 602 0.78/0.63 # Propositional unsat checks : 0 0.78/0.63 # Propositional check models : 0 0.78/0.63 # Propositional check unsatisfiable : 0 0.78/0.63 # Propositional clauses : 0 0.78/0.63 # Propositional clauses after purity: 0 0.78/0.63 # Propositional unsat core size : 0 0.78/0.63 # Propositional preprocessing time : 0.000 0.78/0.63 # Propositional encoding time : 0.000 0.78/0.63 # Propositional solver time : 0.000 0.78/0.63 # Success case prop preproc time : 0.000 0.78/0.63 # Success case prop encoding time : 0.000 0.78/0.63 # Success case prop solver time : 0.000 0.78/0.63 # Current number of processed clauses : 146 0.78/0.63 # Positive orientable unit clauses : 71 0.78/0.63 # Positive unorientable unit clauses: 1 0.78/0.63 # Negative unit clauses : 8 0.78/0.63 # Non-unit-clauses : 66 0.78/0.63 # Current number of unprocessed clauses: 1013 0.78/0.63 # ...number of literals in the above : 2237 0.78/0.63 # Current number of archived formulas : 0 0.78/0.63 # Current number of archived clauses : 98 0.78/0.63 # Clause-clause subsumption calls (NU) : 1096 0.78/0.63 # Rec. Clause-clause subsumption calls : 1033 0.78/0.63 # Non-unit clause-clause subsumptions : 46 0.78/0.63 # Unit Clause-clause subsumption calls : 324 0.78/0.63 # Rewrite failures with RHS unbound : 0 0.78/0.63 # BW rewrite match attempts : 112 0.78/0.63 # BW rewrite match successes : 10 0.78/0.63 # Condensation attempts : 342 0.78/0.63 # Condensation successes : 0 0.78/0.63 # Termbank termtop insertions : 85481 0.78/0.63 0.78/0.63 # ------------------------------------------------- 0.78/0.63 # User time : 0.066 s 0.78/0.63 # System time : 0.012 s 0.78/0.63 # Total time : 0.078 s 0.78/0.63 # Maximum resident set size: 2772 pages 0.78/0.64 0.78/0.64 # ------------------------------------------------- 0.78/0.64 # User time : 0.296 s 0.78/0.64 # System time : 0.033 s 0.78/0.64 # Total time : 0.329 s 0.78/0.64 # Maximum resident set size: 2044 pages 0.78/0.64 % E---3.1 exiting 0.78/0.64 EOF