0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n019.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 07:36:21 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.49 Running higher-order on 8 cores theorem proving 0.19/0.49 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.49 # Version: 3.0pre003-ho 352.17/50.77 # Preprocessing class: HSLSSMSMSSSNSFA. 352.17/50.77 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 352.17/50.77 # Starting new_ho_10 with 360s (3) cores 352.17/50.77 # Starting sh2lt with 120s (1) cores 352.17/50.77 # Starting new_ho_5 with 120s (1) cores 352.17/50.77 # Starting full_lambda_5 with 120s (1) cores 352.17/50.77 # Starting sh9 with 120s (1) cores 352.17/50.77 # Starting ehoh_best8_lambda with 120s (1) cores 352.17/50.77 # new_ho_10 with pid 16590 completed with status 0 352.17/50.77 # Result found by new_ho_10 352.17/50.77 # Preprocessing class: HSLSSMSMSSSNSFA. 352.17/50.77 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 352.17/50.77 # Starting new_ho_10 with 360s (3) cores 352.17/50.77 # No SInE strategy applied 352.17/50.77 # Search class: HGHSM-FSLM32-DSFFFFBN 352.17/50.77 # partial match(1): HGHSM-FSLM32-SSFFFFBN 352.17/50.77 # Scheduled 6 strats onto 3 cores with 360 seconds (360 total) 352.17/50.77 # Starting new_bool_3 with 195s (1) cores 352.17/50.77 # Starting new_ho_10 with 37s (1) cores 352.17/50.77 # Starting new_bool_1 with 33s (1) cores 352.17/50.77 # new_bool_1 with pid 16603 completed with status 7 352.17/50.77 # Starting new_bool_4 with 33s (1) cores 352.17/50.77 # new_ho_10 with pid 16602 completed with status 7 352.17/50.77 # Starting sh9 with 33s (1) cores 352.17/50.77 # sh9 with pid 16659 completed with status 0 352.17/50.77 # Result found by sh9 352.17/50.77 # Preprocessing class: HSLSSMSMSSSNSFA. 352.17/50.77 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 352.17/50.77 # Starting new_ho_10 with 360s (3) cores 352.17/50.77 # No SInE strategy applied 352.17/50.77 # Search class: HGHSM-FSLM32-DSFFFFBN 352.17/50.77 # partial match(1): HGHSM-FSLM32-SSFFFFBN 352.17/50.77 # Scheduled 6 strats onto 3 cores with 360 seconds (360 total) 352.17/50.77 # Starting new_bool_3 with 195s (1) cores 352.17/50.77 # Starting new_ho_10 with 37s (1) cores 352.17/50.77 # Starting new_bool_1 with 33s (1) cores 352.17/50.77 # new_bool_1 with pid 16603 completed with status 7 352.17/50.77 # Starting new_bool_4 with 33s (1) cores 352.17/50.77 # new_ho_10 with pid 16602 completed with status 7 352.17/50.77 # Starting sh9 with 33s (1) cores 352.17/50.77 # Preprocessing time : 0.003 s 352.17/50.77 # Presaturation interreduction done 352.17/50.77 352.17/50.77 # Proof found! 352.17/50.77 # SZS status Theorem 352.17/50.77 # SZS output start CNFRefutation 352.17/50.77 thf(decl_22, type, bool: del). 352.17/50.77 thf(decl_23, type, ind: del). 352.17/50.77 thf(decl_24, type, arr: del > del > del). 352.17/50.77 thf(decl_25, type, mem: $i > del > $o). 352.17/50.77 thf(decl_26, type, ap: $i > $i > $i). 352.17/50.77 thf(decl_27, type, lam: del > ($i > $i) > $i). 352.17/50.77 thf(decl_28, type, p: $i > $o). 352.17/50.77 thf(decl_29, type, inj__o: $o > $i). 352.17/50.77 thf(decl_30, type, ty_2Enum_2Enum: del). 352.17/50.77 thf(decl_31, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 352.17/50.77 thf(decl_32, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_33, type, c_2Earithmetic_2EBIT1: $i). 352.17/50.77 thf(decl_34, type, fo__c_2Earithmetic_2EBIT1: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_35, type, c_2Earithmetic_2EEVEN: $i). 352.17/50.77 thf(decl_36, type, c_2Earithmetic_2EZERO: $i). 352.17/50.77 thf(decl_37, type, fo__c_2Earithmetic_2EZERO: tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_38, type, c_2Earithmetic_2EBIT2: $i). 352.17/50.77 thf(decl_39, type, fo__c_2Earithmetic_2EBIT2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_40, type, c_2Earithmetic_2ENUMERAL: $i). 352.17/50.77 thf(decl_41, type, fo__c_2Earithmetic_2ENUMERAL: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_42, type, c_2Earithmetic_2EODD: $i). 352.17/50.77 thf(decl_43, type, c_2Earithmetic_2EMOD: $i). 352.17/50.77 thf(decl_44, type, fo__c_2Earithmetic_2EMOD: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_45, type, c_2Earithmetic_2E_2A: $i). 352.17/50.77 thf(decl_46, type, fo__c_2Earithmetic_2E_2A: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_47, type, c_2Earithmetic_2E_2B: $i). 352.17/50.77 thf(decl_48, type, fo__c_2Earithmetic_2E_2B: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_49, type, c_2Ebool_2ET: $i). 352.17/50.77 thf(decl_50, type, c_2Ebool_2ECOND: del > $i). 352.17/50.77 thf(decl_51, type, c_2Ebool_2E_3F: del > $i). 352.17/50.77 thf(decl_52, type, c_2Enum_2ESUC: $i). 352.17/50.77 thf(decl_53, type, fo__c_2Enum_2ESUC: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_54, type, c_2Enum_2E0: $i). 352.17/50.77 thf(decl_55, type, fo__c_2Enum_2E0: tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_56, type, c_2Eprim__rec_2E_3C: $i). 352.17/50.77 thf(decl_57, type, c_2Ebool_2EF: $i). 352.17/50.77 thf(decl_58, type, c_2Ebool_2E_2F_5C: $i). 352.17/50.77 thf(decl_59, type, c_2Emin_2E_3D: del > $i). 352.17/50.77 thf(decl_60, type, c_2Ebool_2E_5C_2F: $i). 352.17/50.77 thf(decl_61, type, c_2Ebool_2E_7E: $i). 352.17/50.77 thf(decl_62, type, c_2Emin_2E_3D_3D_3E: $i). 352.17/50.77 thf(decl_63, type, c_2Ebool_2E_21: del > $i). 352.17/50.77 thf(decl_64, type, epred1_3: $i > $i > $i > $o). 352.17/50.77 thf(decl_65, type, epred2_2: $i > $i > $o). 352.17/50.77 thf(decl_66, type, epred3_3: $i > $i > $i > $o). 352.17/50.77 thf(decl_67, type, epred4_3: $i > $i > $i > $o). 352.17/50.77 thf(decl_68, type, epred5_3: $i > $i > $i > $o). 352.17/50.77 thf(decl_69, type, esk1_4: del > del > $i > $i > $i). 352.17/50.77 thf(decl_70, type, esk2_3: del > del > ($i > $i) > $i). 352.17/50.77 thf(decl_71, type, esk3_3: del > $i > $i > $i). 352.17/50.77 thf(decl_72, type, esk4_3: del > $i > $i > $i). 352.17/50.77 thf(decl_73, type, esk5_3: del > $i > $i > $i). 352.17/50.77 thf(decl_74, type, esk6_3: del > $i > $i > $i). 352.17/50.77 thf(decl_75, type, esk7_0: tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_76, type, esk8_2: del > $i > $i). 352.17/50.77 thf(decl_77, type, esk9_1: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_78, type, esk10_3: del > $i > $i > $i). 352.17/50.77 thf(decl_79, type, esk11_3: del > $i > $i > $i). 352.17/50.77 thf(decl_80, type, esk12_3: del > $i > $i > $i). 352.17/50.77 thf(decl_81, type, esk13_3: del > $i > $i > $i). 352.17/50.77 thf(decl_82, type, esk14_3: del > $i > $i > $i). 352.17/50.77 thf(decl_83, type, esk15_3: del > $i > $i > $i). 352.17/50.77 thf(decl_84, type, esk16_3: del > $i > $i > $i). 352.17/50.77 thf(decl_85, type, esk17_2: del > $i > $i). 352.17/50.77 thf(decl_86, type, esk18_2: del > $i > $i). 352.17/50.77 thf(decl_87, type, esk19_2: del > $i > $i). 352.17/50.77 thf(decl_88, type, esk20_1: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 352.17/50.77 thf(decl_89, type, esk21_4: del > del > $i > $i > $i). 352.17/50.77 thf(decl_90, type, esk22_4: del > del > $i > $i > $i). 352.17/50.77 thf(decl_91, type, esk23_3: del > del > $i > $i). 352.17/50.77 thf(decl_92, type, esk24_3: del > del > $i > $i). 352.17/50.77 thf(decl_93, type, esk25_3: del > $i > $i > $i). 352.17/50.77 thf(decl_94, type, esk26_3: del > $i > $i > $i). 352.17/50.77 thf(decl_95, type, esk27_3: del > $i > $i > $i). 352.17/50.77 thf(decl_96, type, esk28_3: del > $i > $i > $i). 352.17/50.77 thf(stp_eq_fo_c_2Enum_2ESUC, axiom, ![X30:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X30))=(ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X30)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Enum_2ESUC)). 352.17/50.77 thf(stp_inj_surj_ty_2Enum_2Enum, axiom, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X18))=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_inj_surj_ty_2Enum_2Enum)). 352.17/50.77 thf(stp_eq_fo_c_2Enum_2E0, axiom, ((inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)=(c_2Enum_2E0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Enum_2E0)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2EBIT1, axiom, ![X30:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT1 @ X30))=(ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ X30)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2EBIT1)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EONE, axiom, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EONE)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2EZERO, axiom, ((inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)=(c_2Earithmetic_2EZERO)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2EZERO)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2ENUMERAL, axiom, ![X30:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ X30))=(ap @ c_2Earithmetic_2ENUMERAL @ (inj__ty_2Enum_2Enum @ X30)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2ENUMERAL)). 352.17/50.77 thf(stp_iso_mem_o, axiom, ![X3:$i]:(((mem @ X3 @ bool)=>((X3)=(inj__o @ ((p @ X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001^2.ax', stp_iso_mem_o)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2EBIT2, axiom, ![X30:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT2 @ X30))=(ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ X30)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2EBIT2)). 352.17/50.77 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_false_p)). 352.17/50.77 thf(ap_tp, axiom, ![X1:del, X4:del, X7:$i]:((![X3:$i]:(((mem @ (ap @ X7 @ X3) @ X4)<=(mem @ X3 @ X1)))<=(mem @ X7 @ (arr @ X1 @ X4)))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001^2.ax', ap_tp)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EADD1, axiom, ![X37:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X37)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X37)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EADD1)). 352.17/50.77 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2EF)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2E_2B, axiom, ![X30:tp__ty_2Enum_2Enum, X45:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2B @ X30 @ X45))=(ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X30)) @ (inj__ty_2Enum_2Enum @ X45)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2E_2B)). 352.17/50.77 thf(conj_thm_2Earithmetic_2ELESS__MONO__EQ, axiom, ![X37:tp__ty_2Enum_2Enum, X38:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X37))) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X38))))<=>(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X37)) @ (inj__ty_2Enum_2Enum @ X38))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2ELESS__MONO__EQ)). 352.17/50.77 thf(conj_thm_2Earithmetic_2ETWO, axiom, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2ETWO)). 352.17/50.77 thf(conj_thm_2Eprim__rec_2ELESS__0, axiom, ![X21:tp__ty_2Enum_2Enum]:((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X21))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Eprim__rec_2ELESS__0)). 352.17/50.77 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2ET)). 352.17/50.77 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_true_p)). 352.17/50.77 thf(mem_c_2Earithmetic_2EODD, axiom, (mem @ c_2Earithmetic_2EODD @ (arr @ ty_2Enum_2Enum @ bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Earithmetic_2EODD)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EMOD__2, conjecture, ![X21:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X21)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X21))) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EMOD__2)). 352.17/50.77 thf(mem_c_2Earithmetic_2EEVEN, axiom, (mem @ c_2Earithmetic_2EEVEN @ (arr @ ty_2Enum_2Enum @ bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Earithmetic_2EEVEN)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EMOD__UNIQUE, axiom, ![X21:tp__ty_2Enum_2Enum, X22:tp__ty_2Enum_2Enum, X23:tp__ty_2Enum_2Enum]:((?[X24:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X23)) @ (inj__ty_2Enum_2Enum @ X21)))&((X22)=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X24)) @ (inj__ty_2Enum_2Enum @ X21))) @ (inj__ty_2Enum_2Enum @ X23))))))=>((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X22)) @ (inj__ty_2Enum_2Enum @ X21)))=(X23)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EMOD__UNIQUE)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2EMOD, axiom, ![X30:tp__ty_2Enum_2Enum, X45:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EMOD @ X30 @ X45))=(ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X30)) @ (inj__ty_2Enum_2Enum @ X45)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2EMOD)). 352.17/50.77 thf(stp_eq_fo_c_2Earithmetic_2E_2A, axiom, ![X30:tp__ty_2Enum_2Enum, X45:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2A @ X30 @ X45))=(ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X30)) @ (inj__ty_2Enum_2Enum @ X45)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Earithmetic_2E_2A)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EODD__EXISTS, axiom, ![X21:tp__ty_2Enum_2Enum]:(((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X21)))<=>?[X35:tp__ty_2Enum_2Enum]:(((X21)=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ X35)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EODD__EXISTS)). 352.17/50.77 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X26:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X26) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_inj_mem_ty_2Enum_2Enum)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EADD__0, axiom, ![X37:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X37)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X37))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EADD__0)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EMULT__COMM, axiom, ![X37:tp__ty_2Enum_2Enum, X38:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X37)) @ (inj__ty_2Enum_2Enum @ X38)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X38)) @ (inj__ty_2Enum_2Enum @ X37))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EMULT__COMM)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EEVEN__ODD, axiom, ![X21:tp__ty_2Enum_2Enum]:((~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X21))))<=>(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X21))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EEVEN__ODD)). 352.17/50.77 thf(conj_thm_2Earithmetic_2EEVEN__EXISTS, axiom, ![X21:tp__ty_2Enum_2Enum]:(((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X21)))<=>?[X35:tp__ty_2Enum_2Enum]:(((X21)=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ X35))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Earithmetic_2EEVEN__EXISTS)). 352.17/50.77 thf(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X11:del, X19:$i]:(((mem @ X19 @ X11)=>![X20:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X19) @ X20)=(X19))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X19) @ X20)=(X20)))<=(mem @ X20 @ X11))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ebool_2ECOND__CLAUSES)). 352.17/50.77 thf(mem_c_2Enum_2E0, axiom, (mem @ c_2Enum_2E0 @ ty_2Enum_2Enum), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Enum_2E0)). 352.17/50.77 thf(c_0_33, plain, ![X347:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X347))=(ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X347)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Enum_2ESUC])). 352.17/50.77 thf(c_0_34, plain, ![X271:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X271))=(X271))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Enum_2Enum])). 352.17/50.77 thf(c_0_35, plain, ![X18:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X18))=(ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X18)))), inference(split_conjunct,[status(thm)],[c_0_33])). 352.17/50.77 thf(c_0_36, plain, ((inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)=(c_2Enum_2E0)), inference(split_conjunct,[status(thm)],[stp_eq_fo_c_2Enum_2E0])). 352.17/50.77 thf(c_0_37, plain, ![X383:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT1 @ X383))=(ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ X383)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2EBIT1])). 352.17/50.77 thf(c_0_38, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[conj_thm_2Earithmetic_2EONE])). 352.17/50.77 thf(c_0_39, plain, ((inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)=(c_2Earithmetic_2EZERO)), inference(split_conjunct,[status(thm)],[stp_eq_fo_c_2Earithmetic_2EZERO])). 352.17/50.77 thf(c_0_40, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X18))=(X18))), inference(split_conjunct,[status(thm)],[c_0_34])). 352.17/50.77 thf(c_0_41, plain, ((inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))=(ap @ c_2Enum_2ESUC @ c_2Enum_2E0)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 352.17/50.77 thf(c_0_42, plain, ![X292:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ X292))=(ap @ c_2Earithmetic_2ENUMERAL @ (inj__ty_2Enum_2Enum @ X292)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2ENUMERAL])). 352.17/50.77 thf(c_0_43, plain, ![X18:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT1 @ X18))=(ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ X18)))), inference(split_conjunct,[status(thm)],[c_0_37])). 352.17/50.77 thf(c_0_44, axiom, ![X3:$i]:(((mem @ X3 @ bool)=>((~(p @ X3)|((X3)=(inj__o @ $true)))&((p @ X3)|((X3)=(inj__o @ $false)))))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 352.17/50.77 thf(c_0_45, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)))=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39]), c_0_36])). 352.17/50.77 thf(c_0_46, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 352.17/50.77 thf(c_0_47, plain, ![X18:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ X18))=(ap @ c_2Earithmetic_2ENUMERAL @ (inj__ty_2Enum_2Enum @ X18)))), inference(split_conjunct,[status(thm)],[c_0_42])). 352.17/50.77 thf(c_0_48, plain, ((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT1 @ fo__c_2Earithmetic_2EZERO))=(ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)), inference(spm,[status(thm)],[c_0_43, c_0_39])). 352.17/50.77 thf(c_0_49, plain, ![X439:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT2 @ X439))=(ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ X439)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2EBIT2])). 352.17/50.77 thf(c_0_50, plain, ![X259:$i]:(((~(p @ X259)|((X259)=(inj__o @ $true))|~(mem @ X259 @ bool))&((p @ X259)|((X259)=(inj__o @ $false))|~(mem @ X259 @ bool)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])). 352.17/50.77 thf(c_0_51, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 352.17/50.77 thf(c_0_52, plain, ![X1:del, X4:del, X7:$i]:(((mem @ X7 @ (arr @ X1 @ X4))=>![X3:$i]:(((mem @ X3 @ X1)=>(mem @ (ap @ X7 @ X3) @ X4))))), inference(fof_simplification,[status(thm)],[ap_tp])). 352.17/50.77 thf(c_0_53, plain, ![X416:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X416)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X416)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))))), inference(variable_rename,[status(thm)],[conj_thm_2Earithmetic_2EADD1])). 352.17/50.77 thf(c_0_54, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0)), inference(rw,[status(thm)],[c_0_45, c_0_46])). 352.17/50.77 thf(c_0_55, plain, ((ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))=(inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT1 @ fo__c_2Earithmetic_2EZERO)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 352.17/50.77 thf(c_0_56, plain, ![X18:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT2 @ X18))=(ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ X18)))), inference(split_conjunct,[status(thm)],[c_0_49])). 352.17/50.77 thf(c_0_57, plain, ![X3:$i]:(((p @ X3)|((X3)=(inj__o @ (~($true))))|~((mem @ X3 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_50])). 352.17/50.77 thf(c_0_58, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 352.17/50.77 thf(c_0_59, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_51])). 352.17/50.77 thf(c_0_60, plain, ![X253:del, X254:del, X255:$i, X256:$i]:((~(mem @ X255 @ (arr @ X253 @ X254))|(~(mem @ X256 @ X253)|(mem @ (ap @ X255 @ X256) @ X254)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])). 352.17/50.77 thf(c_0_61, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X18)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))))), inference(split_conjunct,[status(thm)],[c_0_53])). 352.17/50.77 thf(c_0_62, plain, ((fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT1 @ fo__c_2Earithmetic_2EZERO))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55]), c_0_40])). 352.17/50.77 thf(c_0_63, plain, ![X425:tp__ty_2Enum_2Enum, X426:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2B @ X425 @ X426))=(ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X425)) @ (inj__ty_2Enum_2Enum @ X426)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2E_2B])). 352.17/50.77 thf(c_0_64, plain, ![X371:tp__ty_2Enum_2Enum, X372:tp__ty_2Enum_2Enum]:(((~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X371))) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X372))))|(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X371)) @ (inj__ty_2Enum_2Enum @ X372))))&(~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X371)) @ (inj__ty_2Enum_2Enum @ X372)))|(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X371))) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X372))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2ELESS__MONO__EQ])])). 352.17/50.77 thf(c_0_65, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), inference(split_conjunct,[status(thm)],[conj_thm_2Earithmetic_2ETWO])). 352.17/50.77 thf(c_0_66, plain, ((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))=(ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO)), inference(spm,[status(thm)],[c_0_56, c_0_39])). 352.17/50.77 thf(c_0_67, plain, ![X417:tp__ty_2Enum_2Enum]:((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X417))))), inference(variable_rename,[status(thm)],[conj_thm_2Eprim__rec_2ELESS__0])). 352.17/50.77 thf(c_0_68, plain, ![X3:$i]:((((X3)=(inj__o @ (($true))))|~((p @ X3))|~((mem @ X3 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_50])). 352.17/50.77 thf(c_0_69, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 352.17/50.77 thf(c_0_70, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 352.17/50.77 thf(c_0_71, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])). 352.17/50.77 thf(c_0_72, plain, ![X3:$i, X5:$i, X4:del, X1:del]:(((mem @ (ap @ X3 @ X5) @ X4)|~((mem @ X3 @ (arr @ X1 @ X4)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_60])). 352.17/50.77 thf(c_0_73, plain, (mem @ c_2Earithmetic_2EODD @ (arr @ ty_2Enum_2Enum @ bool)), inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2EODD])). 352.17/50.77 thf(c_0_74, negated_conjecture, ~(![X21:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X21)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X21))) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))))), inference(assume_negation,[status(cth)],[conj_thm_2Earithmetic_2EMOD__2])). 352.17/50.77 thf(c_0_75, plain, (mem @ c_2Earithmetic_2EEVEN @ (arr @ ty_2Enum_2Enum @ bool)), inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2EEVEN])). 352.17/50.77 thf(c_0_76, plain, ![X274:tp__ty_2Enum_2Enum, X275:tp__ty_2Enum_2Enum, X276:tp__ty_2Enum_2Enum, X277:tp__ty_2Enum_2Enum]:((~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X276)) @ (inj__ty_2Enum_2Enum @ X274)))|((X275)!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X277)) @ (inj__ty_2Enum_2Enum @ X274))) @ (inj__ty_2Enum_2Enum @ X276))))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X275)) @ (inj__ty_2Enum_2Enum @ X274)))=(X276)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2EMOD__UNIQUE])])])). 352.17/50.77 thf(c_0_77, plain, ![X369:tp__ty_2Enum_2Enum, X370:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EMOD @ X369 @ X370))=(ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X369)) @ (inj__ty_2Enum_2Enum @ X370)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2EMOD])). 352.17/50.77 thf(c_0_78, plain, ![X407:tp__ty_2Enum_2Enum, X408:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2A @ X407 @ X408))=(ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X407)) @ (inj__ty_2Enum_2Enum @ X408)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2E_2A])). 352.17/50.77 thf(c_0_79, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))))=(fo__c_2Enum_2ESUC @ X18))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_39]), c_0_35]), c_0_40])). 352.17/50.77 thf(c_0_80, plain, ((ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))=(ap @ c_2Enum_2ESUC @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_62]), c_0_41])). 352.17/50.77 thf(c_0_81, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2B @ X18 @ X21))=(ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))), inference(split_conjunct,[status(thm)],[c_0_63])). 352.17/50.77 thf(c_0_82, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X18))) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X21))))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))))), inference(split_conjunct,[status(thm)],[c_0_64])). 352.17/50.77 thf(c_0_83, plain, ((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))))=(surj__ty_2Enum_2Enum @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_39]), c_0_39])). 352.17/50.77 thf(c_0_84, plain, ((ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO))=(inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))), inference(spm,[status(thm)],[c_0_47, c_0_66])). 352.17/50.77 thf(c_0_85, plain, ((ap @ c_2Enum_2ESUC @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0))=(inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ (fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0)))), inference(spm,[status(thm)],[c_0_35, c_0_41])). 352.17/50.77 thf(c_0_86, plain, ![X18:tp__ty_2Enum_2Enum]:((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Enum_2ESUC @ (inj__ty_2Enum_2Enum @ X18))))), inference(split_conjunct,[status(thm)],[c_0_67])). 352.17/50.77 thf(c_0_87, plain, ![X306:tp__ty_2Enum_2Enum, X308:tp__ty_2Enum_2Enum, X309:tp__ty_2Enum_2Enum]:(((~(p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X306)))|((X306)=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ (esk9_1 @ X306)))))))&(((X308)!=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ X309)))))|(p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X308)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2EODD__EXISTS])])])])])). 352.17/50.77 thf(c_0_88, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])])). 352.17/50.77 thf(c_0_89, plain, ![X3:$i]:((((X3)=(c_2Ebool_2EF))|(p @ X3)|~((mem @ X3 @ bool)))), inference(rw,[status(thm)],[c_0_57, c_0_71])). 352.17/50.77 thf(c_0_90, plain, ![X3:$i]:(((mem @ (ap @ c_2Earithmetic_2EODD @ X3) @ bool)|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 352.17/50.77 thf(c_0_91, plain, ![X287:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X287) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])). 352.17/50.77 thf(c_0_92, plain, ![X390:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X390)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X390))), inference(variable_rename,[status(thm)],[conj_thm_2Earithmetic_2EADD__0])). 352.17/50.77 thf(c_0_93, negated_conjecture, ((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ esk7_0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])). 352.17/50.77 thf(c_0_94, plain, ![X3:$i]:(((mem @ (ap @ c_2Earithmetic_2EEVEN @ X3) @ bool)|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_72, c_0_75])). 352.17/50.77 thf(c_0_95, plain, ![X23:tp__ty_2Enum_2Enum, X22:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum, X18:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X22)) @ (inj__ty_2Enum_2Enum @ X21)))=(X18))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21))))|((X22)!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X23)) @ (inj__ty_2Enum_2Enum @ X21))) @ (inj__ty_2Enum_2Enum @ X18)))))), inference(split_conjunct,[status(thm)],[c_0_76])). 352.17/50.77 thf(c_0_96, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2EMOD @ X18 @ X21))=(ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))), inference(split_conjunct,[status(thm)],[c_0_77])). 352.17/50.77 thf(c_0_97, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2A @ X18 @ X21))=(ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))), inference(split_conjunct,[status(thm)],[c_0_78])). 352.17/50.77 thf(c_0_98, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)))=(fo__c_2Enum_2ESUC @ X18))), inference(spm,[status(thm)],[c_0_79, c_0_80])). 352.17/50.77 thf(c_0_99, plain, ![X18:tp__ty_2Enum_2Enum]:(((ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0))=(inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2B @ X18 @ (fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))))), inference(spm,[status(thm)],[c_0_81, c_0_41])). 352.17/50.77 thf(c_0_100, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X18))) @ (inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X21))))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_35]), c_0_35])). 352.17/50.77 thf(c_0_101, plain, ((fo__c_2Enum_2ESUC @ (fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))=(fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_55]), c_0_62]), c_0_41]), c_0_84]), c_0_40]), c_0_85]), c_0_40])). 352.17/50.77 thf(c_0_102, plain, ![X18:tp__ty_2Enum_2Enum]:((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ c_2Enum_2E0) @ (inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X18))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_36]), c_0_35])). 352.17/50.77 thf(c_0_103, plain, ![X18:tp__ty_2Enum_2Enum]:((((X18)=(surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ (esk9_1 @ X18))))))|~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))))), inference(split_conjunct,[status(thm)],[c_0_87])). 352.17/50.77 thf(c_0_104, plain, ![X314:tp__ty_2Enum_2Enum, X315:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X314)) @ (inj__ty_2Enum_2Enum @ X315)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X315)) @ (inj__ty_2Enum_2Enum @ X314))))), inference(variable_rename,[status(thm)],[conj_thm_2Earithmetic_2EMULT__COMM])). 352.17/50.77 thf(c_0_105, plain, ![X21:tp__ty_2Enum_2Enum]:((~(p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X21)))<=>(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X21))))), inference(fof_simplification,[status(thm)],[conj_thm_2Earithmetic_2EEVEN__ODD])). 352.17/50.77 thf(c_0_106, plain, ![X3:$i]:((((X3)=(c_2Ebool_2ET))|~((mem @ X3 @ bool))|~((p @ X3)))), inference(rw,[status(thm)],[c_0_68, c_0_88])). 352.17/50.77 thf(c_0_107, plain, ![X3:$i]:((((ap @ c_2Earithmetic_2EODD @ X3)=(c_2Ebool_2EF))|(p @ (ap @ c_2Earithmetic_2EODD @ X3))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_89, c_0_90])). 352.17/50.77 thf(c_0_108, plain, ![X18:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X18) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_91])). 352.17/50.77 thf(c_0_109, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X18))), inference(split_conjunct,[status(thm)],[c_0_92])). 352.17/50.77 thf(c_0_110, plain, ![X384:tp__ty_2Enum_2Enum, X386:tp__ty_2Enum_2Enum, X387:tp__ty_2Enum_2Enum]:(((~(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X384)))|((X384)=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ (esk20_1 @ X384))))))&(((X386)!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ X387))))|(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X386)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2EEVEN__EXISTS])])])])])). 352.17/50.77 thf(c_0_111, negated_conjecture, ((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ esk7_0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), inference(split_conjunct,[status(thm)],[c_0_93])). 352.17/50.77 thf(c_0_112, plain, ![X3:$i]:((((ap @ c_2Earithmetic_2EEVEN @ X3)=(c_2Ebool_2EF))|(p @ (ap @ c_2Earithmetic_2EEVEN @ X3))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_89, c_0_94])). 352.17/50.77 thf(c_0_113, plain, ![X18:tp__ty_2Enum_2Enum, X22:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ (fo__c_2Earithmetic_2E_2B @ (fo__c_2Earithmetic_2E_2A @ X18 @ X21) @ X22) @ X21)=(X22))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X22)) @ (inj__ty_2Enum_2Enum @ X21)))))), inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_96]), c_0_40]), c_0_97]), c_0_81]), c_0_40])])). 352.17/50.77 thf(c_0_114, plain, ![X18:tp__ty_2Enum_2Enum]:(((fo__c_2Earithmetic_2E_2B @ X18 @ (fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))=(fo__c_2Enum_2ESUC @ X18))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_99]), c_0_40])). 352.17/50.77 thf(c_0_115, plain, ![X18:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ (fo__c_2Enum_2ESUC @ X18))) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X18)) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_41])). 352.17/50.77 thf(c_0_116, plain, (p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ c_2Enum_2E0) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_102, c_0_41])). 352.17/50.77 thf(c_0_117, plain, ![X18:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ c_2Enum_2ESUC @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO))) @ (inj__ty_2Enum_2Enum @ (esk9_1 @ X18)))))=(X18))|~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))))), inference(rw,[status(thm)],[c_0_103, c_0_39])). 352.17/50.77 thf(c_0_118, plain, ![X21:tp__ty_2Enum_2Enum, X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X21)))=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (inj__ty_2Enum_2Enum @ X21)) @ (inj__ty_2Enum_2Enum @ X18))))), inference(split_conjunct,[status(thm)],[c_0_104])). 352.17/50.77 thf(c_0_119, plain, ![X278:tp__ty_2Enum_2Enum]:((((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X278)))|(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X278))))&(~(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X278)))|~(p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X278)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])). 352.17/50.77 thf(c_0_120, plain, ![X3:$i]:((((ap @ c_2Earithmetic_2EODD @ X3)=(c_2Ebool_2ET))|~((p @ (ap @ c_2Earithmetic_2EODD @ X3)))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_106, c_0_90])). 352.17/50.77 thf(c_0_121, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2EF))|(p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))))), inference(spm,[status(thm)],[c_0_107, c_0_108])). 352.17/50.77 thf(c_0_122, plain, ![X18:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ c_2Enum_2E0))=(X18))), inference(rw,[status(thm)],[c_0_109, c_0_36])). 352.17/50.77 thf(c_0_123, plain, ![X18:tp__ty_2Enum_2Enum]:(((ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X18)) @ c_2Enum_2E0)=(inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2B @ X18 @ fo__c_2Enum_2E0)))), inference(spm,[status(thm)],[c_0_81, c_0_36])). 352.17/50.77 thf(c_0_124, plain, ![X18:tp__ty_2Enum_2Enum]:((((X18)=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))) @ (inj__ty_2Enum_2Enum @ (esk20_1 @ X18)))))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18)))))), inference(split_conjunct,[status(thm)],[c_0_110])). 352.17/50.77 thf(c_0_125, negated_conjecture, ((surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))) @ c_2Enum_2E0) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))))!=(surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2EMOD @ (inj__ty_2Enum_2Enum @ esk7_0)) @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_36]), c_0_39]), c_0_39])). 352.17/50.77 thf(c_0_126, plain, ![X3:$i]:((((ap @ c_2Earithmetic_2EEVEN @ X3)=(c_2Ebool_2ET))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ X3)))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_106, c_0_94])). 352.17/50.77 thf(c_0_127, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2EF))|(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))))), inference(spm,[status(thm)],[c_0_112, c_0_108])). 352.17/50.77 thf(c_0_128, plain, ![X11:del, X19:$i]:(((mem @ X19 @ X11)=>![X20:$i]:(((mem @ X20 @ X11)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X19) @ X20)=(X19))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X19) @ X20)=(X20))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])). 352.17/50.77 thf(c_0_129, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ (fo__c_2Enum_2ESUC @ (fo__c_2Earithmetic_2E_2A @ X18 @ X21)) @ X21)=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)) @ (inj__ty_2Enum_2Enum @ X21)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_41]), c_0_114])). 352.17/50.77 thf(c_0_130, plain, (p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_41]), c_0_36]), c_0_116])])). 352.17/50.77 thf(c_0_131, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Enum_2ESUC @ (fo__c_2Earithmetic_2E_2A @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)) @ (esk9_1 @ X18)))=(X18))|~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_84]), c_0_97]), c_0_35]), c_0_40])). 352.17/50.77 thf(c_0_132, plain, ![X21:tp__ty_2Enum_2Enum, X18:tp__ty_2Enum_2Enum]:(((fo__c_2Earithmetic_2E_2A @ X18 @ X21)=(fo__c_2Earithmetic_2E_2A @ X21 @ X18))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118, c_0_97]), c_0_40]), c_0_97]), c_0_40])). 352.17/50.77 thf(c_0_133, plain, ![X18:tp__ty_2Enum_2Enum]:(((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))|(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))))), inference(split_conjunct,[status(thm)],[c_0_119])). 352.17/50.77 thf(c_0_134, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2EF))|((ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_108])])). 352.17/50.77 thf(c_0_135, plain, ![X18:tp__ty_2Enum_2Enum]:(((fo__c_2Earithmetic_2E_2B @ X18 @ fo__c_2Enum_2E0)=(X18))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123]), c_0_40])). 352.17/50.77 thf(c_0_136, plain, ![X18:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2A @ (ap @ c_2Earithmetic_2ENUMERAL @ (ap @ c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO))) @ (inj__ty_2Enum_2Enum @ (esk20_1 @ X18))))=(X18))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18)))))), inference(rw,[status(thm)],[c_0_124, c_0_39])). 352.17/50.77 thf(c_0_137, negated_conjecture, ((surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))) @ c_2Enum_2E0) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)))!=(fo__c_2Earithmetic_2EMOD @ esk7_0 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125, c_0_55]), c_0_62]), c_0_41]), c_0_84]), c_0_96]), c_0_40])). 352.17/50.77 thf(c_0_138, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2EF))|((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_108])])). 352.17/50.77 thf(c_0_139, plain, ![X409:del, X410:$i, X411:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X409) @ c_2Ebool_2ET) @ X410) @ X411)=(X410))|~(mem @ X411 @ X409)|~(mem @ X410 @ X409))&(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X409) @ c_2Ebool_2EF) @ X410) @ X411)=(X411))|~(mem @ X411 @ X409)|~(mem @ X410 @ X409)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])])])). 352.17/50.77 thf(c_0_140, plain, ![X18:tp__ty_2Enum_2Enum]:(((fo__c_2Earithmetic_2EMOD @ (fo__c_2Enum_2ESUC @ (fo__c_2Earithmetic_2E_2A @ X18 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))) @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_129, c_0_130])). 352.17/50.77 thf(c_0_141, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Enum_2ESUC @ (fo__c_2Earithmetic_2E_2A @ (esk9_1 @ X18) @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))))=(X18))|~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))))), inference(spm,[status(thm)],[c_0_131, c_0_132])). 352.17/50.77 thf(c_0_142, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET))|(p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_59])). 352.17/50.77 thf(c_0_143, plain, ![X18:tp__ty_2Enum_2Enum, X21:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ (fo__c_2Earithmetic_2E_2A @ X18 @ X21) @ X21)=(fo__c_2Enum_2E0))|~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ c_2Enum_2E0) @ (inj__ty_2Enum_2Enum @ X21)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_36]), c_0_135])). 352.17/50.77 thf(c_0_144, plain, (p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ c_2Enum_2E0) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))))), inference(spm,[status(thm)],[c_0_102, c_0_101])). 352.17/50.77 thf(c_0_145, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2E_2A @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)) @ (esk20_1 @ X18))=(X18))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136, c_0_84]), c_0_97]), c_0_40])). 352.17/50.77 thf(c_0_146, negated_conjecture, (((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))=(c_2Ebool_2ET))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ c_2Ebool_2EF) @ c_2Enum_2E0) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)))!=(fo__c_2Earithmetic_2EMOD @ esk7_0 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))))), inference(spm,[status(thm)],[c_0_137, c_0_138])). 352.17/50.77 thf(c_0_147, plain, ![X3:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X3) @ X5)=(X5))|~((mem @ X5 @ X1))|~((mem @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_139])). 352.17/50.77 thf(c_0_148, plain, (mem @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0) @ ty_2Enum_2Enum), inference(spm,[status(thm)],[c_0_108, c_0_41])). 352.17/50.77 thf(c_0_149, plain, (mem @ c_2Enum_2E0 @ ty_2Enum_2Enum), inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0])). 352.17/50.77 thf(c_0_150, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ X18 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))|~((p @ (ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18)))))), inference(spm,[status(thm)],[c_0_140, c_0_141])). 352.17/50.77 thf(c_0_151, plain, ![X18:tp__ty_2Enum_2Enum]:((((ap @ c_2Earithmetic_2EODD @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET))|((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_142]), c_0_108])])). 352.17/50.77 thf(c_0_152, plain, ![X18:tp__ty_2Enum_2Enum]:(((fo__c_2Earithmetic_2EMOD @ (fo__c_2Earithmetic_2E_2A @ X18 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO))) @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_143, c_0_144])). 352.17/50.77 thf(c_0_153, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2E_2A @ (esk20_1 @ X18) @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(X18))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18)))))), inference(spm,[status(thm)],[c_0_132, c_0_145])). 352.17/50.77 thf(c_0_154, negated_conjecture, (((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))=(c_2Ebool_2ET))|((fo__c_2Earithmetic_2EMOD @ esk7_0 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))!=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_46]), c_0_148]), c_0_149])])). 352.17/50.77 thf(c_0_155, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ X18 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2ESUC @ fo__c_2Enum_2E0))|((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_151]), c_0_70])])). 352.17/50.77 thf(c_0_156, plain, ![X18:tp__ty_2Enum_2Enum]:((((fo__c_2Earithmetic_2EMOD @ X18 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2E0))|~((p @ (ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ X18)))))), inference(spm,[status(thm)],[c_0_152, c_0_153])). 352.17/50.77 thf(c_0_157, negated_conjecture, ((ap @ c_2Earithmetic_2EEVEN @ (inj__ty_2Enum_2Enum @ esk7_0))=(c_2Ebool_2ET)), inference(spm,[status(thm)],[c_0_154, c_0_155])). 352.17/50.77 thf(c_0_158, negated_conjecture, ((fo__c_2Earithmetic_2EMOD @ esk7_0 @ (fo__c_2Earithmetic_2ENUMERAL @ (fo__c_2Earithmetic_2EBIT2 @ fo__c_2Earithmetic_2EZERO)))=(fo__c_2Enum_2E0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_157]), c_0_70])])). 352.17/50.77 thf(c_0_159, negated_conjecture, ((surj__ty_2Enum_2Enum @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Enum_2Enum) @ c_2Ebool_2ET) @ c_2Enum_2E0) @ (ap @ c_2Enum_2ESUC @ c_2Enum_2E0)))!=(fo__c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_157]), c_0_158])). 352.17/50.77 thf(c_0_160, plain, ![X3:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X3) @ X5)=(X3))|~((mem @ X5 @ X1))|~((mem @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_139])). 352.17/50.77 thf(c_0_161, plain, ((surj__ty_2Enum_2Enum @ c_2Enum_2E0)=(fo__c_2Enum_2E0)), inference(spm,[status(thm)],[c_0_40, c_0_36])). 352.17/50.77 thf(c_0_162, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_160]), c_0_161]), c_0_148]), c_0_149])]), ['proof']). 352.17/50.77 # SZS output end CNFRefutation 352.17/50.77 # Parsed axioms : 152 352.17/50.77 # Removed by relevancy pruning/SinE : 0 352.17/50.77 # Initial clauses : 458 352.17/50.77 # Removed in clause preprocessing : 285 352.17/50.77 # Initial clauses in saturation : 173 352.17/50.77 # Processed clauses : 9672 352.17/50.77 # ...of these trivial : 706 352.17/50.77 # ...subsumed : 4726 352.17/50.77 # ...remaining for further processing : 4240 352.17/50.77 # Other redundant clauses eliminated : 6 352.17/50.77 # Clauses deleted for lack of memory : 0 352.17/50.77 # Backward-subsumed : 64 352.17/50.77 # Backward-rewritten : 211 352.17/50.77 # Generated clauses : 222224 352.17/50.77 # ...of the previous two non-redundant : 203871 352.17/50.77 # ...aggressively subsumed : 0 352.17/50.77 # Contextual simplify-reflections : 19 352.17/50.77 # Paramodulations : 221633 352.17/50.77 # Factorizations : 580 352.17/50.77 # NegExts : 0 352.17/50.77 # Equation resolutions : 7 352.17/50.77 # Propositional unsat checks : 0 352.17/50.77 # Propositional check models : 0 352.17/50.77 # Propositional check unsatisfiable : 0 352.17/50.77 # Propositional clauses : 0 352.17/50.77 # Propositional clauses after purity: 0 352.17/50.77 # Propositional unsat core size : 0 352.17/50.77 # Propositional preprocessing time : 0.000 352.17/50.77 # Propositional encoding time : 0.000 352.17/50.77 # Propositional solver time : 0.000 352.17/50.77 # Success case prop preproc time : 0.000 352.17/50.77 # Success case prop encoding time : 0.000 352.17/50.77 # Success case prop solver time : 0.000 352.17/50.77 # Current number of processed clauses : 3805 352.17/50.77 # Positive orientable unit clauses : 584 352.17/50.77 # Positive unorientable unit clauses: 1 352.17/50.77 # Negative unit clauses : 3 352.17/50.77 # Non-unit-clauses : 3217 352.17/50.77 # Current number of unprocessed clauses: 192605 352.17/50.77 # ...number of literals in the above : 1297655 352.17/50.77 # Current number of archived formulas : 0 352.17/50.77 # Current number of archived clauses : 431 352.17/50.77 # Clause-clause subsumption calls (NU) : 1076782 352.17/50.77 # Rec. Clause-clause subsumption calls : 254848 352.17/50.77 # Non-unit clause-clause subsumptions : 2754 352.17/50.77 # Unit Clause-clause subsumption calls : 17540 352.17/50.77 # Rewrite failures with RHS unbound : 0 352.17/50.77 # BW rewrite match attempts : 1364 352.17/50.77 # BW rewrite match successes : 124 352.17/50.77 # Condensation attempts : 9672 352.17/50.77 # Condensation successes : 0 352.17/50.77 # Termbank termtop insertions : 11089596 352.17/50.77 352.17/50.77 # ------------------------------------------------- 352.17/50.77 # User time : 74.372 s 352.17/50.77 # System time : 2.587 s 352.17/50.77 # Total time : 76.958 s 352.17/50.77 # Maximum resident set size: 3248 pages 352.17/50.77 352.17/50.77 # ------------------------------------------------- 352.17/50.77 # User time : 125.971 s 352.17/50.77 # System time : 4.613 s 352.17/50.77 # Total time : 130.583 s 352.17/50.77 # Maximum resident set size: 1936 pages 352.17/50.95 EOF