0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_E %s %d THM 0.09/0.29 % Computer : n026.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1440 0.09/0.29 % WCLimit : 180 0.09/0.29 % DateTime : Thu Jul 4 11:20:39 EDT 2024 0.09/0.29 % CPUTime : 0.15/0.40 Running higher-order theorem proving 0.77/1.02 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p 56.70/8.39 # Version: 3.2.0-ho 56.70/8.39 # Preprocessing class: HMLMSLSLSSSCHFA. 56.70/8.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 56.70/8.39 # Starting new_ho_2 with 720s (4) cores 56.70/8.39 # Starting sh3l with 360s (2) cores 56.70/8.39 # Starting lpo5_rw_fix with 180s (1) cores 56.70/8.39 # Starting full_lambda_7 with 180s (1) cores 56.70/8.39 # sh3l with pid 7365 completed with status 0 56.70/8.39 # Result found by sh3l 56.70/8.39 # Preprocessing class: HMLMSLSLSSSCHFA. 56.70/8.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 56.70/8.39 # Starting new_ho_2 with 720s (4) cores 56.70/8.39 # Starting sh3l with 360s (2) cores 56.70/8.39 # SinE strategy is gf120_gu_RUU_F100_L01000 56.70/8.39 # Search class: HGHSM-FSLM32-DHFFFFBC 56.70/8.39 # partial match(1): HGHSM-FSLM32-DHFFFFBN 56.70/8.39 # Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 56.70/8.39 # Starting new_ho_10 with 195s (1) cores 56.70/8.39 # Starting sh3l with 37s (1) cores 56.70/8.39 # sh3l with pid 7370 completed with status 0 56.70/8.39 # Result found by sh3l 56.70/8.39 # Preprocessing class: HMLMSLSLSSSCHFA. 56.70/8.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 56.70/8.39 # Starting new_ho_2 with 720s (4) cores 56.70/8.39 # Starting sh3l with 360s (2) cores 56.70/8.39 # SinE strategy is gf120_gu_RUU_F100_L01000 56.70/8.39 # Search class: HGHSM-FSLM32-DHFFFFBC 56.70/8.39 # partial match(1): HGHSM-FSLM32-DHFFFFBN 56.70/8.39 # Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 56.70/8.39 # Starting new_ho_10 with 195s (1) cores 56.70/8.39 # Starting sh3l with 37s (1) cores 56.70/8.39 # Preprocessing time : 0.016 s 56.70/8.39 # Presaturation interreduction done 56.70/8.39 # SatCheck found unsatisfiable ground set 56.70/8.39 56.70/8.39 # Proof found! 56.70/8.39 # SZS status Theorem 56.70/8.39 # SZS output start CNFRefutation 56.70/8.39 thf(decl_sort1, type, mono_2Etyop_2Enum_2Enum: $tType). 56.70/8.39 thf(decl_210, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_214, type, mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_522, type, mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 56.70/8.39 thf(decl_524, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_589, type, mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_590, type, mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_591, type, mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_592, type, mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 56.70/8.39 thf(decl_596, type, mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_597, type, mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_598, type, mono_2Ec_2Earithmetic_2EDIV: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_600, type, mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o). 56.70/8.39 thf(decl_605, type, mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_606, type, mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_607, type, mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o). 56.70/8.39 thf(decl_609, type, mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_614, type, esk1_0: mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_625, type, esk12_1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_626, type, esk13_1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_641, type, esk28_3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(decl_642, type, esk29_3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum). 56.70/8.39 thf(thm_2Earithmetic_2ESUB__ELIM__THM, axiom, ![X789:mono_2Etyop_2Enum_2Enum, X790:mono_2Etyop_2Enum_2Enum, X791:mono_2Etyop_2Enum_2Enum > $o]:(((X791 @ (mono_2Ec_2Earithmetic_2E_2D @ X790 @ X789))<=>![X792:mono_2Etyop_2Enum_2Enum]:((((X791 @ X792)<=((X790)=(mono_2Ec_2Earithmetic_2E_2B @ X789 @ X792)))&(((X789)=(mono_2Ec_2Earithmetic_2E_2B @ X790 @ X792))=>(X791 @ mono_2Ec_2Enum_2E0)))))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ESUB__ELIM__THM)). 56.70/8.39 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/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EONE)). 56.70/8.39 thf(thm_2Earithmetic_2EALT__ZERO, axiom, ((mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Enum_2E0)), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EALT__ZERO)). 56.70/8.39 thf(thm_2Earithmetic_2ENUMERAL__DEF, axiom, ![X929:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2ENUMERAL @ X929)=(X929))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ENUMERAL__DEF)). 56.70/8.39 thf(thm_2Earithmetic_2EMOD__2, conjecture, ![X310:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EMOD @ X310 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((mono_2Ec_2Earithmetic_2EEVEN @ X310)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EMOD__2)). 56.70/8.39 thf(thm_2Earithmetic_2EADD1, axiom, ![X963:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X963)=(mono_2Ec_2Earithmetic_2E_2B @ X963 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EADD1)). 56.70/8.39 thf(thm_2Earithmetic_2ENOT__NUM__EQ, axiom, ![X1105:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((~(((X1105)=(X292)))<=>((mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X292) @ X1105)|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X1105) @ X292)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ENOT__NUM__EQ)). 56.70/8.39 thf(thm_2Earithmetic_2ESUC__NOT, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:(~(((mono_2Ec_2Enum_2E0)=(mono_2Ec_2Enum_2ESUC @ X310)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ESUC__NOT)). 56.70/8.39 thf(thm_2Earithmetic_2ELE, axiom, (![X758:mono_2Etyop_2Enum_2Enum, X293:mono_2Etyop_2Enum_2Enum]:(((((X758)=(mono_2Ec_2Enum_2ESUC @ X293))|(mono_2Ec_2Earithmetic_2E_3C_3D @ X758 @ X293))<=>(mono_2Ec_2Earithmetic_2E_3C_3D @ X758 @ (mono_2Ec_2Enum_2ESUC @ X293))))&![X310:mono_2Etyop_2Enum_2Enum]:((((X310)=(mono_2Ec_2Enum_2E0))<=>(mono_2Ec_2Earithmetic_2E_3C_3D @ X310 @ mono_2Ec_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ELE)). 56.70/8.39 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/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ETWO)). 56.70/8.39 thf(thm_2Earithmetic_2EMULT__EQ__DIV, axiom, ![X846:mono_2Etyop_2Enum_2Enum, X847:mono_2Etyop_2Enum_2Enum, X848:mono_2Etyop_2Enum_2Enum]:(((((mono_2Ec_2Earithmetic_2E_2A @ X848 @ X847)=(X846))<=>(((mono_2Ec_2Earithmetic_2EMOD @ X846 @ X848)=(mono_2Ec_2Enum_2E0))&((X847)=(mono_2Ec_2Earithmetic_2EDIV @ X846 @ X848))))<=(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X848))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EMULT__EQ__DIV)). 56.70/8.39 thf(thm_2Earithmetic_2EMULT__CLAUSES, axiom, ![X849:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((((((mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ X849)=(mono_2Ec_2Enum_2E0))&((mono_2Ec_2Earithmetic_2E_2A @ X849 @ (mono_2Ec_2Enum_2ESUC @ X292))=(mono_2Ec_2Earithmetic_2E_2B @ X849 @ (mono_2Ec_2Earithmetic_2E_2A @ X849 @ X292))))&((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ X849) @ X292)=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X849 @ X292) @ X292)))&((mono_2Ec_2Earithmetic_2E_2A @ X849 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))=(X849)))&((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X849)=(X849)))&((mono_2Ec_2Earithmetic_2E_2A @ X849 @ mono_2Ec_2Enum_2E0)=(mono_2Ec_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EMULT__CLAUSES)). 56.70/8.39 thf(thm_2Earithmetic_2EMOD__LESS, axiom, ![X1116:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2EMOD @ X1116 @ X292) @ X292)<=(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X292))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EMOD__LESS)). 56.70/8.39 thf(thm_2Earithmetic_2EEVEN__ODD__EXISTS, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:(((?[X758:mono_2Etyop_2Enum_2Enum]:(((X310)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X758)))<=(mono_2Ec_2Earithmetic_2EEVEN @ X310))&(?[X773:mono_2Etyop_2Enum_2Enum]:(((X310)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X773))))<=(mono_2Ec_2Earithmetic_2EODD @ X310)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EEVEN__ODD__EXISTS)). 56.70/8.39 thf(thm_2Earithmetic_2ESUB, axiom, (![X758:mono_2Etyop_2Enum_2Enum, X293:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X758) @ X293)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ((mono_2Ec_2Eprim__rec_2E_3C @ X758 @ X293)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X758 @ X293)))))&![X1067:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ X1067)=(mono_2Ec_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ESUB)). 56.70/8.39 thf(thm_2Earithmetic_2ESUC__SUB, axiom, ![X308:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X308) @ X308)=(mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ESUC__SUB)). 56.70/8.39 thf(thm_2Eprim__rec_2ELESS__REFL, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:(~((mono_2Ec_2Eprim__rec_2E_3C @ X310 @ X310))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Eprim__rec_2ELESS__REFL)). 56.70/8.39 thf(thm_2Earithmetic_2EEVEN__DOUBLE, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X310))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2EEVEN__DOUBLE)). 56.70/8.39 thf(thm_2Earithmetic_2ELT__MULT__CANCEL__RBARE, axiom, ![X310:mono_2Etyop_2Enum_2Enum, X758:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X758 @ X310) @ X310)<=>(((X758)=(mono_2Ec_2Enum_2E0))&(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X310)))&((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X758 @ X310) @ X758)<=>(((X310)=(mono_2Ec_2Enum_2E0))&(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X758))))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ELT__MULT__CANCEL__RBARE)). 56.70/8.39 thf(thm_2Eprim__rec_2ELESS__LEMMA1, axiom, ![X681:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ X681 @ (mono_2Ec_2Enum_2ESUC @ X292))=>(((X681)=(X292))|(mono_2Ec_2Eprim__rec_2E_3C @ X681 @ X292)))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Eprim__rec_2ELESS__LEMMA1)). 56.70/8.39 thf(thm_2Eprim__rec_2ELESS__0, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X310))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Eprim__rec_2ELESS__0)). 56.70/8.39 thf(thm_2Earithmetic_2ESUB__EQUAL__0, axiom, ![X1001:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ X1001 @ X1001)=(mono_2Ec_2Enum_2E0))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Earithmetic_2ESUB__EQUAL__0)). 56.70/8.39 thf(thm_2Eprim__rec_2ELESS__SUC__REFL, axiom, ![X310:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ X310 @ (mono_2Ec_2Enum_2ESUC @ X310))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Eprim__rec_2ELESS__SUC__REFL)). 56.70/8.39 thf(thm_2Eprim__rec_2ELESS__SUC__SUC, axiom, ![X728:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ X728 @ (mono_2Ec_2Enum_2ESUC @ X728))&(mono_2Ec_2Eprim__rec_2E_3C @ X728 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ X728))))), file('/export/starexec/sandbox2/tmp/tmp.RUL5Mwiz4c/E---3.1_7286.p', thm_2Eprim__rec_2ELESS__SUC__SUC)). 56.70/8.39 thf(c_0_24, plain, ![X789:mono_2Etyop_2Enum_2Enum, X790:mono_2Etyop_2Enum_2Enum, X791:mono_2Etyop_2Enum_2Enum > $o]:(((X791 @ (mono_2Ec_2Earithmetic_2E_2D @ X790 @ X789))<=>![X792:mono_2Etyop_2Enum_2Enum]:(((((X790)=(mono_2Ec_2Earithmetic_2E_2B @ X789 @ X792))=>(X791 @ X792))&(((X789)=(mono_2Ec_2Earithmetic_2E_2B @ X790 @ X792))=>(X791 @ mono_2Ec_2Enum_2E0)))))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2ESUB__ELIM__THM])). 56.70/8.39 thf(c_0_25, 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])). 56.70/8.39 thf(c_0_26, plain, ((mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Enum_2E0)), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2EALT__ZERO])). 56.70/8.39 thf(c_0_27, plain, ![X2509:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2ENUMERAL @ X2509)=(X2509))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2ENUMERAL__DEF])). 56.70/8.39 thf(c_0_28, negated_conjecture, ~(![X310:mono_2Etyop_2Enum_2Enum]:(((~(mono_2Ec_2Earithmetic_2EEVEN @ X310)|((mono_2Ec_2Earithmetic_2EMOD @ X310 @ (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 @ X310)|((mono_2Ec_2Earithmetic_2EMOD @ X310 @ (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])])). 56.70/8.39 thf(c_0_29, plain, ![X2804:mono_2Etyop_2Enum_2Enum, X2805:mono_2Etyop_2Enum_2Enum, X2806:mono_2Etyop_2Enum_2Enum > $o, X2807:mono_2Etyop_2Enum_2Enum, X2808:mono_2Etyop_2Enum_2Enum, X2809:mono_2Etyop_2Enum_2Enum, X2810:mono_2Etyop_2Enum_2Enum, X2811:mono_2Etyop_2Enum_2Enum > $o]:((((((X2805)!=(mono_2Ec_2Earithmetic_2E_2B @ X2804 @ X2807))|(X2806 @ X2807)|~(X2806 @ (mono_2Ec_2Earithmetic_2E_2D @ X2805 @ X2804)))&(((X2804)!=(mono_2Ec_2Earithmetic_2E_2B @ X2805 @ X2808))|(X2806 @ mono_2Ec_2Enum_2E0)|~(X2806 @ (mono_2Ec_2Earithmetic_2E_2D @ X2805 @ X2804))))&(((((X2809)=(mono_2Ec_2Earithmetic_2E_2B @ X2810 @ (esk29_3 @ X2809 @ X2810 @ X2811)))|((X2810)=(mono_2Ec_2Earithmetic_2E_2B @ X2809 @ (esk28_3 @ X2809 @ X2810 @ X2811)))|(X2811 @ (mono_2Ec_2Earithmetic_2E_2D @ X2810 @ X2809)))&(~(X2811 @ mono_2Ec_2Enum_2E0)|((X2810)=(mono_2Ec_2Earithmetic_2E_2B @ X2809 @ (esk28_3 @ X2809 @ X2810 @ X2811)))|(X2811 @ (mono_2Ec_2Earithmetic_2E_2D @ X2810 @ X2809))))&((((X2809)=(mono_2Ec_2Earithmetic_2E_2B @ X2810 @ (esk29_3 @ X2809 @ X2810 @ X2811)))|~(X2811 @ (esk28_3 @ X2809 @ X2810 @ X2811))|(X2811 @ (mono_2Ec_2Earithmetic_2E_2D @ X2810 @ X2809)))&(~(X2811 @ mono_2Ec_2Enum_2E0)|~(X2811 @ (esk28_3 @ X2809 @ X2810 @ X2811))|(X2811 @ (mono_2Ec_2Earithmetic_2E_2D @ X2810 @ X2809))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])])). 56.70/8.39 thf(c_0_30, plain, ![X2511:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X2511)=(mono_2Ec_2Earithmetic_2E_2B @ X2511 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EADD1])). 56.70/8.39 thf(c_0_31, plain, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), inference(rw,[status(thm)],[c_0_25, c_0_26])). 56.70/8.39 thf(c_0_32, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2ENUMERAL @ X286)=(X286))), inference(split_conjunct,[status(thm)],[c_0_27])). 56.70/8.39 thf(c_0_33, plain, ![X1105:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((X1105)!=(X292))<=>((mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X292) @ X1105)|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X1105) @ X292)))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2ENOT__NUM__EQ])). 56.70/8.39 thf(c_0_34, plain, ![X310:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2E0)!=(mono_2Ec_2Enum_2ESUC @ X310))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2ESUC__NOT])). 56.70/8.39 thf(c_0_35, 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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])). 56.70/8.39 thf(c_0_36, plain, ![X293:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum, X291:mono_2Etyop_2Enum_2Enum > $o, X286:mono_2Etyop_2Enum_2Enum]:(((X291 @ mono_2Ec_2Enum_2E0)|((X286)!=(mono_2Ec_2Earithmetic_2E_2B @ X292 @ X293))|~((X291 @ (mono_2Ec_2Earithmetic_2E_2D @ X292 @ X286))))), inference(split_conjunct,[status(thm)],[c_0_29])). 56.70/8.39 thf(c_0_37, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ X286)=(mono_2Ec_2Earithmetic_2E_2B @ X286 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(split_conjunct,[status(thm)],[c_0_30])). 56.70/8.39 thf(c_0_38, plain, ((mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0)=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), inference(rw,[status(thm)],[c_0_31, c_0_32])). 56.70/8.39 thf(c_0_39, plain, ![X3012:mono_2Etyop_2Enum_2Enum, X3013:mono_2Etyop_2Enum_2Enum, X3014:mono_2Etyop_2Enum_2Enum]:(((((((X3012)!=(mono_2Ec_2Enum_2ESUC @ X3013))|(mono_2Ec_2Earithmetic_2E_3C_3D @ X3012 @ (mono_2Ec_2Enum_2ESUC @ X3013)))&(~(mono_2Ec_2Earithmetic_2E_3C_3D @ X3012 @ X3013)|(mono_2Ec_2Earithmetic_2E_3C_3D @ X3012 @ (mono_2Ec_2Enum_2ESUC @ X3013))))&(~(mono_2Ec_2Earithmetic_2E_3C_3D @ X3012 @ (mono_2Ec_2Enum_2ESUC @ X3013))|(((X3012)=(mono_2Ec_2Enum_2ESUC @ X3013))|(mono_2Ec_2Earithmetic_2E_3C_3D @ X3012 @ X3013))))&((((X3014)!=(mono_2Ec_2Enum_2E0))|(mono_2Ec_2Earithmetic_2E_3C_3D @ X3014 @ mono_2Ec_2Enum_2E0))&(~(mono_2Ec_2Earithmetic_2E_3C_3D @ X3014 @ mono_2Ec_2Enum_2E0)|((X3014)=(mono_2Ec_2Enum_2E0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2ELE])])])])])). 56.70/8.39 thf(c_0_40, plain, ![X3036:mono_2Etyop_2Enum_2Enum, X3037:mono_2Etyop_2Enum_2Enum]:(((((X3036)=(X3037))|((mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X3037) @ X3036)|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X3036) @ X3037)))&((~(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X3037) @ X3036)|((X3036)!=(X3037)))&(~(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X3036) @ X3037)|((X3036)!=(X3037)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])). 56.70/8.39 thf(c_0_41, plain, ![X3126:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2E0)!=(mono_2Ec_2Enum_2ESUC @ X3126))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])])). 56.70/8.39 thf(c_0_42, 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])). 56.70/8.39 thf(c_0_43, plain, ![X846:mono_2Etyop_2Enum_2Enum, X847:mono_2Etyop_2Enum_2Enum, X848:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X848)=>(((mono_2Ec_2Earithmetic_2E_2A @ X848 @ X847)=(X846))<=>(((mono_2Ec_2Earithmetic_2EMOD @ X846 @ X848)=(mono_2Ec_2Enum_2E0))&((X847)=(mono_2Ec_2Earithmetic_2EDIV @ X846 @ X848)))))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EMULT__EQ__DIV])). 56.70/8.39 thf(c_0_44, plain, ![X2497:mono_2Etyop_2Enum_2Enum, X2498:mono_2Etyop_2Enum_2Enum]:((((((((mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ X2497)=(mono_2Ec_2Enum_2E0))&((mono_2Ec_2Earithmetic_2E_2A @ X2497 @ (mono_2Ec_2Enum_2ESUC @ X2498))=(mono_2Ec_2Earithmetic_2E_2B @ X2497 @ (mono_2Ec_2Earithmetic_2E_2A @ X2497 @ X2498))))&((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ X2497) @ X2498)=(mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X2497 @ X2498) @ X2498)))&((mono_2Ec_2Earithmetic_2E_2A @ X2497 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))=(X2497)))&((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2497)=(X2497)))&((mono_2Ec_2Earithmetic_2E_2A @ X2497 @ mono_2Ec_2Enum_2E0)=(mono_2Ec_2Enum_2E0)))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EMULT__CLAUSES])). 56.70/8.39 thf(c_0_45, plain, ![X1116:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X292)=>(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2EMOD @ X1116 @ X292) @ X292))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EMOD__LESS])). 56.70/8.39 thf(c_0_46, plain, ![X310:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EEVEN @ X310)=>?[X758:mono_2Etyop_2Enum_2Enum]:(((X310)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X758))))&((mono_2Ec_2Earithmetic_2EODD @ X310)=>?[X773:mono_2Etyop_2Enum_2Enum]:(((X310)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X773))))))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EEVEN__ODD__EXISTS])). 56.70/8.39 thf(c_0_47, 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_35])). 56.70/8.39 thf(c_0_48, axiom, (![X758:mono_2Etyop_2Enum_2Enum, X293:mono_2Etyop_2Enum_2Enum]:(((~(mono_2Ec_2Eprim__rec_2E_3C @ X758 @ X293)|((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X758) @ X293)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X758 @ X293)))))&((mono_2Ec_2Eprim__rec_2E_3C @ X758 @ X293)|((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X758) @ X293)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X758 @ X293)))))))&![X1067:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ X1067)=(mono_2Ec_2Enum_2E0)))), inference(fool_unroll,[status(thm)],[thm_2Earithmetic_2ESUB])). 56.70/8.39 thf(c_0_49, plain, ![X2496:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X2496) @ X2496)=(mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2ESUC__SUB])). 56.70/8.39 thf(c_0_50, plain, ![X310:mono_2Etyop_2Enum_2Enum]:(~(mono_2Ec_2Eprim__rec_2E_3C @ X310 @ X310)), inference(fof_simplification,[status(thm)],[thm_2Eprim__rec_2ELESS__REFL])). 56.70/8.39 thf(c_0_51, negated_conjecture, (~((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), inference(split_conjunct,[status(thm)],[c_0_35])). 56.70/8.39 thf(c_0_52, plain, ![X286:mono_2Etyop_2Enum_2Enum, X291:mono_2Etyop_2Enum_2Enum > $o, X292:mono_2Etyop_2Enum_2Enum]:(((X291 @ mono_2Ec_2Enum_2E0)|~((X291 @ (mono_2Ec_2Earithmetic_2E_2D @ X286 @ (mono_2Ec_2Earithmetic_2E_2B @ X286 @ X292)))))), inference(er,[status(thm)],[c_0_36])). 56.70/8.39 thf(c_0_53, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2B @ X286 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ X286))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_26]), c_0_38]), c_0_32])). 56.70/8.39 thf(c_0_54, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((X286)=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Earithmetic_2E_3C_3D @ X286 @ mono_2Ec_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_39])). 56.70/8.39 thf(c_0_55, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((X286)=(X292))|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X292) @ X286)|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X292))), inference(split_conjunct,[status(thm)],[c_0_40])). 56.70/8.39 thf(c_0_56, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2E0)!=(mono_2Ec_2Enum_2ESUC @ X286))), inference(split_conjunct,[status(thm)],[c_0_41])). 56.70/8.39 thf(c_0_57, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((~((mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X292))|((X286)!=(X292)))), inference(split_conjunct,[status(thm)],[c_0_40])). 56.70/8.39 thf(c_0_58, plain, ![X2550:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2550))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EEVEN__DOUBLE])). 56.70/8.39 thf(c_0_59, plain, ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_26]), c_0_26]), c_0_31])). 56.70/8.39 thf(c_0_60, plain, ![X2576:mono_2Etyop_2Enum_2Enum, X2577:mono_2Etyop_2Enum_2Enum, X2578:mono_2Etyop_2Enum_2Enum]:((((((mono_2Ec_2Earithmetic_2EMOD @ X2576 @ X2578)=(mono_2Ec_2Enum_2E0))|((mono_2Ec_2Earithmetic_2E_2A @ X2578 @ X2577)!=(X2576))|~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2578))&(((X2577)=(mono_2Ec_2Earithmetic_2EDIV @ X2576 @ X2578))|((mono_2Ec_2Earithmetic_2E_2A @ X2578 @ X2577)!=(X2576))|~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2578)))&(((mono_2Ec_2Earithmetic_2EMOD @ X2576 @ X2578)!=(mono_2Ec_2Enum_2E0))|((X2577)!=(mono_2Ec_2Earithmetic_2EDIV @ X2576 @ X2578))|((mono_2Ec_2Earithmetic_2E_2A @ X2578 @ X2577)=(X2576))|~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2578)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])). 56.70/8.39 thf(c_0_61, plain, ![X3312:mono_2Etyop_2Enum_2Enum, X3313:mono_2Etyop_2Enum_2Enum]:(((((((X3313)=(mono_2Ec_2Enum_2E0))|~(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3312))&((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X3312)|~(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3312)))&(((X3313)!=(mono_2Ec_2Enum_2E0))|~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X3312)|(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3312)))&(((((X3312)=(mono_2Ec_2Enum_2E0))|~(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3313))&((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X3313)|~(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3313)))&(((X3312)!=(mono_2Ec_2Enum_2E0))|~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X3313)|(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X3313 @ X3312) @ X3313))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Earithmetic_2ELT__MULT__CANCEL__RBARE])])])])). 56.70/8.39 thf(c_0_62, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X286)=(X286))), inference(split_conjunct,[status(thm)],[c_0_44])). 56.70/8.39 thf(c_0_63, plain, ![X3069:mono_2Etyop_2Enum_2Enum, X3070:mono_2Etyop_2Enum_2Enum]:((~(mono_2Ec_2Eprim__rec_2E_3C @ X3069 @ (mono_2Ec_2Enum_2ESUC @ X3070))|(((X3069)=(X3070))|(mono_2Ec_2Eprim__rec_2E_3C @ X3069 @ X3070)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eprim__rec_2ELESS__LEMMA1])])])). 56.70/8.39 thf(c_0_64, plain, ![X2642:mono_2Etyop_2Enum_2Enum, X2643:mono_2Etyop_2Enum_2Enum]:((~(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2643)|(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2EMOD @ X2642 @ X2643) @ X2643))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])). 56.70/8.39 thf(c_0_65, plain, ![X3081:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X3081))), inference(variable_rename,[status(thm)],[thm_2Eprim__rec_2ELESS__0])). 56.70/8.39 thf(c_0_66, plain, ![X2543:mono_2Etyop_2Enum_2Enum, X2545:mono_2Etyop_2Enum_2Enum]:(((~(mono_2Ec_2Earithmetic_2EEVEN @ X2543)|((X2543)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk12_1 @ X2543))))&(~(mono_2Ec_2Earithmetic_2EODD @ X2545)|((X2545)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk13_1 @ X2545))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])])])). 56.70/8.39 thf(c_0_67, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_26]), c_0_26])). 56.70/8.39 thf(c_0_68, plain, ![X2480:mono_2Etyop_2Enum_2Enum, X2481:mono_2Etyop_2Enum_2Enum, X2482:mono_2Etyop_2Enum_2Enum]:((((~(mono_2Ec_2Eprim__rec_2E_3C @ X2480 @ X2481)|((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X2480) @ X2481)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X2480 @ X2481)))))&((mono_2Ec_2Eprim__rec_2E_3C @ X2480 @ X2481)|((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X2480) @ X2481)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $false @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X2480 @ X2481))))))&((mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ X2482)=(mono_2Ec_2Enum_2E0)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])])])). 56.70/8.39 thf(c_0_69, plain, ![X2861:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ X2861 @ X2861)=(mono_2Ec_2Enum_2E0))), inference(variable_rename,[status(thm)],[thm_2Earithmetic_2ESUB__EQUAL__0])). 56.70/8.39 thf(c_0_70, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X286)=(mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), inference(split_conjunct,[status(thm)],[c_0_49])). 56.70/8.39 thf(c_0_71, plain, ![X3201:mono_2Etyop_2Enum_2Enum]:(~(mono_2Ec_2Eprim__rec_2E_3C @ X3201 @ X3201)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_50])])). 56.70/8.39 thf(c_0_72, negated_conjecture, (((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0))))|~((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_26]), c_0_26])). 56.70/8.39 thf(c_0_73, plain, ![X291:mono_2Etyop_2Enum_2Enum > $o, X286:mono_2Etyop_2Enum_2Enum]:(((X291 @ mono_2Ec_2Enum_2E0)|~((X291 @ (mono_2Ec_2Earithmetic_2E_2D @ X286 @ (mono_2Ec_2Enum_2ESUC @ X286)))))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 56.70/8.39 thf(c_0_74, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((X286)=(mono_2Ec_2Enum_2E0))|(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ X286))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])). 56.70/8.39 thf(c_0_75, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(~((mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X286))), inference(er,[status(thm)],[c_0_57])). 56.70/8.39 thf(c_0_76, plain, ![X3066:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ X3066 @ (mono_2Ec_2Enum_2ESUC @ X3066))), inference(variable_rename,[status(thm)],[thm_2Eprim__rec_2ELESS__SUC__REFL])). 56.70/8.39 thf(c_0_77, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X286))), inference(split_conjunct,[status(thm)],[c_0_58])). 56.70/8.39 thf(c_0_78, plain, ((mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)=(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[c_0_59, c_0_32])). 56.70/8.39 thf(c_0_79, plain, ![X286:mono_2Etyop_2Enum_2Enum, X293:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2E_2A @ X292 @ X293)=(X286))|((mono_2Ec_2Earithmetic_2EMOD @ X286 @ X292)!=(mono_2Ec_2Enum_2E0))|((X293)!=(mono_2Ec_2Earithmetic_2EDIV @ X286 @ X292))|~((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X292)))), inference(split_conjunct,[status(thm)],[c_0_60])). 56.70/8.39 thf(c_0_80, plain, ![X3082:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ X3082 @ (mono_2Ec_2Enum_2ESUC @ X3082))&(mono_2Ec_2Eprim__rec_2E_3C @ X3082 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ X3082))))), inference(variable_rename,[status(thm)],[thm_2Eprim__rec_2ELESS__SUC__SUC])). 56.70/8.39 thf(c_0_81, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((X286)=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2E_2A @ X292 @ X286) @ X292)))), inference(split_conjunct,[status(thm)],[c_0_61])). 56.70/8.39 thf(c_0_82, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ X286)=(X286))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_26]), c_0_38]), c_0_32])). 56.70/8.39 thf(c_0_83, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((X286)=(X292))|(mono_2Ec_2Eprim__rec_2E_3C @ X286 @ X292)|~((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ (mono_2Ec_2Enum_2ESUC @ X292))))), inference(split_conjunct,[status(thm)],[c_0_63])). 56.70/8.39 thf(c_0_84, plain, ![X292:mono_2Etyop_2Enum_2Enum, X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2EMOD @ X292 @ X286) @ X286)|~((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X286)))), inference(split_conjunct,[status(thm)],[c_0_64])). 56.70/8.39 thf(c_0_85, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X286))), inference(split_conjunct,[status(thm)],[c_0_65])). 56.70/8.39 thf(c_0_86, plain, ![X286:mono_2Etyop_2Enum_2Enum, X293:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X286 @ X292)=(mono_2Ec_2Enum_2E0))|((mono_2Ec_2Earithmetic_2E_2A @ X292 @ X293)!=(X286))|~((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X292)))), inference(split_conjunct,[status(thm)],[c_0_60])). 56.70/8.39 thf(c_0_87, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((X286)=(mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (esk12_1 @ X286)))|~((mono_2Ec_2Earithmetic_2EEVEN @ X286)))), inference(split_conjunct,[status(thm)],[c_0_66])). 56.70/8.39 thf(c_0_88, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)))!=(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_67, c_0_31])). 56.70/8.39 thf(c_0_89, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ X292)|((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X292)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X286 @ X292)))))), inference(split_conjunct,[status(thm)],[c_0_68])). 56.70/8.39 thf(c_0_90, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ X286 @ X286)=(mono_2Ec_2Enum_2E0))), inference(split_conjunct,[status(thm)],[c_0_69])). 56.70/8.39 thf(c_0_91, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X286)=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_26]), c_0_38]), c_0_32])). 56.70/8.39 thf(c_0_92, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(~((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ X286))), inference(split_conjunct,[status(thm)],[c_0_71])). 56.70/8.39 thf(c_0_93, negated_conjecture, (((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($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_72, c_0_31])). 56.70/8.39 thf(c_0_94, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X286) @ X292)=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X286 @ X292))))|~((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ X292)))), inference(split_conjunct,[status(thm)],[c_0_68])). 56.70/8.39 thf(c_0_95, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2E_2D @ X286 @ (mono_2Ec_2Enum_2ESUC @ X286))=(mono_2Ec_2Enum_2E0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75])). 56.70/8.39 thf(c_0_96, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ (mono_2Ec_2Enum_2ESUC @ X286))), inference(split_conjunct,[status(thm)],[c_0_76])). 56.70/8.39 thf(c_0_97, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) @ X286))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_26]), c_0_78]), c_0_32])). 56.70/8.39 thf(c_0_98, plain, ![X292:mono_2Etyop_2Enum_2Enum, X286:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2E_2A @ X286 @ (mono_2Ec_2Earithmetic_2EDIV @ X292 @ X286))=(X292))|((mono_2Ec_2Earithmetic_2EMOD @ X292 @ X286)!=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X286)))), inference(er,[status(thm)],[c_0_79])). 56.70/8.39 thf(c_0_99, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ X286)))), inference(split_conjunct,[status(thm)],[c_0_80])). 56.70/8.39 thf(c_0_100, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((X286)=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Eprim__rec_2E_3C @ X286 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))))), inference(spm,[status(thm)],[c_0_81, c_0_82])). 56.70/8.39 thf(c_0_101, plain, ![X286:mono_2Etyop_2Enum_2Enum, X292:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ X292))=(X292))|(mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ X292)) @ X292))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])])). 56.70/8.39 thf(c_0_102, plain, ![X292:mono_2Etyop_2Enum_2Enum, X286:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Earithmetic_2E_2A @ X286 @ X292) @ X286)=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X286)))), inference(er,[status(thm)],[c_0_86])). 56.70/8.39 thf(c_0_103, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) @ (esk12_1 @ X286))=(X286))|~((mono_2Ec_2Earithmetic_2EEVEN @ X286)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_26]), c_0_78]), c_0_32])). 56.70/8.39 thf(c_0_104, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))!=(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_88, c_0_59])). 56.70/8.39 thf(c_0_105, plain, ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (~($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91]), c_0_92])). 56.70/8.39 thf(c_0_106, negated_conjecture, (((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($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_93, c_0_59])). 56.70/8.39 thf(c_0_107, plain, ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (($true)) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2E0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_90]), c_0_96])])). 56.70/8.39 thf(c_0_108, plain, ![X286:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Earithmetic_2EEVEN @ X286)|((mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Enum_2E0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_99])])). 56.70/8.39 thf(c_0_109, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))=(mono_2Ec_2Enum_2E0))|((mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))), inference(spm,[status(thm)],[c_0_100, c_0_101])). 56.70/8.39 thf(c_0_110, plain, ![X286:mono_2Etyop_2Enum_2Enum]:((((mono_2Ec_2Earithmetic_2EMOD @ X286 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))=(mono_2Ec_2Enum_2E0))|~((mono_2Ec_2Earithmetic_2EEVEN @ X286)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_99])])). 56.70/8.39 thf(c_0_111, negated_conjecture, ((mono_2Ec_2Earithmetic_2EEVEN @ esk1_0)|((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), inference(rw,[status(thm)],[c_0_104, c_0_105])). 56.70/8.39 thf(c_0_112, negated_conjecture, ((mono_2Ec_2Earithmetic_2EMOD @ esk1_0 @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))!=(mono_2Ec_2Enum_2E0)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107]), c_0_108])). 56.70/8.39 thf(c_0_113, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_109, c_0_110, c_0_111, c_0_112]), ['proof']). 56.70/8.39 # SZS output end CNFRefutation 56.70/8.39 # Parsed axioms : 3527 56.70/8.39 # Removed by relevancy pruning/SinE : 3045 56.70/8.39 # Initial clauses : 1073 56.70/8.39 # Removed in clause preprocessing : 180 56.70/8.39 # Initial clauses in saturation : 893 56.70/8.39 # Processed clauses : 21654 56.70/8.39 # ...of these trivial : 542 56.70/8.39 # ...subsumed : 16112 56.70/8.39 # ...remaining for further processing : 5000 56.70/8.39 # Other redundant clauses eliminated : 4229 56.70/8.39 # Clauses deleted for lack of memory : 0 56.70/8.39 # Backward-subsumed : 373 56.70/8.39 # Backward-rewritten : 312 56.70/8.39 # Generated clauses : 259187 56.70/8.39 # ...of the previous two non-redundant : 230574 56.70/8.39 # ...aggressively subsumed : 0 56.70/8.39 # Contextual simplify-reflections : 38 56.70/8.39 # Paramodulations : 254682 56.70/8.39 # Factorizations : 24 56.70/8.39 # NegExts : 0 56.70/8.39 # Equation resolutions : 4267 56.70/8.39 # Disequality decompositions : 0 56.70/8.39 # Total rewrite steps : 91381 56.70/8.39 # ...of those cached : 81153 56.70/8.39 # Propositional unsat checks : 1 56.70/8.39 # Propositional check models : 0 56.70/8.39 # Propositional check unsatisfiable : 1 56.70/8.39 # Propositional clauses : 212491 56.70/8.39 # Propositional clauses after purity: 64319 56.70/8.39 # Propositional unsat core size : 4 56.70/8.39 # Propositional preprocessing time : 0.000 56.70/8.39 # Propositional encoding time : 0.582 56.70/8.39 # Propositional solver time : 0.047 56.70/8.39 # Success case prop preproc time : 0.000 56.70/8.39 # Success case prop encoding time : 0.582 56.70/8.39 # Success case prop solver time : 0.047 56.70/8.39 # Current number of processed clauses : 3667 56.70/8.39 # Positive orientable unit clauses : 451 56.70/8.39 # Positive unorientable unit clauses: 17 56.70/8.39 # Negative unit clauses : 1430 56.70/8.39 # Non-unit-clauses : 1769 56.70/8.39 # Current number of unprocessed clauses: 208824 56.70/8.39 # ...number of literals in the above : 465130 56.70/8.39 # Current number of archived formulas : 0 56.70/8.39 # Current number of archived clauses : 1255 56.70/8.39 # Clause-clause subsumption calls (NU) : 807532 56.70/8.39 # Rec. Clause-clause subsumption calls : 560072 56.70/8.39 # Non-unit clause-clause subsumptions : 3843 56.70/8.39 # Unit Clause-clause subsumption calls : 377060 56.70/8.39 # Rewrite failures with RHS unbound : 0 56.70/8.39 # BW rewrite match attempts : 4018 56.70/8.39 # BW rewrite match successes : 1449 56.70/8.39 # Condensation attempts : 0 56.70/8.39 # Condensation successes : 0 56.70/8.39 # Termbank termtop insertions : 10402618 56.70/8.39 # Search garbage collected termcells : 38648 56.70/8.39 56.70/8.39 # ------------------------------------------------- 56.70/8.39 # User time : 6.821 s 56.70/8.39 # System time : 0.244 s 56.70/8.39 # Total time : 7.065 s 56.70/8.39 # Maximum resident set size: 9660 pages 56.70/8.39 56.70/8.39 # ------------------------------------------------- 56.70/8.39 # User time : 13.745 s 56.70/8.39 # System time : 0.479 s 56.70/8.39 # Total time : 14.224 s 56.70/8.39 # Maximum resident set size: 6584 pages 56.70/8.39 % E---3.1 exiting 56.70/8.39 % E exiting 56.70/8.39 EOF