0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.34 % Computer : n015.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 : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 14:06:19 EDT 2021 0.13/0.34 % CPUTime : 0.20/0.35 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 # Version: 2.6rc1-ho 0.20/0.35 # No SInE strategy applied 0.20/0.35 # Trying AutoSched0 for 59 seconds 59.17/59.35 # AutoSched0-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y 59.17/59.35 # and selection function SelectMaxLComplexAvoidPosPred. 59.17/59.35 # 59.17/59.35 # Preprocessing time : 0.035 s 59.17/59.35 # Presaturation interreduction done 59.22/59.44 # No success with AutoSched0 59.22/59.44 # Trying AutoSched1 for 26 seconds 74.36/74.53 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 74.36/74.53 # and selection function PSelectComplexExceptUniqMaxHorn. 74.36/74.53 # 74.36/74.53 # Preprocessing time : 0.035 s 74.36/74.53 # Presaturation interreduction done 74.36/74.53 74.36/74.53 # Proof found! 74.36/74.53 # SZS status Theorem 74.36/74.53 # SZS output start CNFRefutation 74.36/74.53 thf(stp_iso_mem_o, axiom, ![X4:$i]:(mem @ X4 @ bool=>(X4)=(inj__o @ (p @ X4))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001^2.ax', stp_iso_mem_o)). 74.36/74.53 thf(ap_tp, axiom, ![X1:del, X2:del, X7:$i]:(![X4:$i]:(mem @ (ap @ X7 @ X4) @ X2<=mem @ X4 @ X1)<=mem @ X7 @ (arr @ X1 @ X2)), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001^2.ax', ap_tp)). 74.36/74.53 thf(stp_inj_surj_ty_2Einteger_2Eint, axiom, ![X23:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X23))=(X23), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_inj_surj_ty_2Einteger_2Eint)). 74.36/74.53 thf(stp_eq_fo_c_2Einteger_2Eint__of__num, axiom, ![X10:tp__ty_2Enum_2Enum]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X10))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2Eint__of__num)). 74.36/74.53 thf(ax_false_p, axiom, ~(p @ c_2Ebool_2EF), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_false_p)). 74.36/74.53 thf(mem_c_2Ebool_2EF, axiom, mem @ c_2Ebool_2EF @ bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2EF)). 74.36/74.53 thf(mem_c_2Einteger_2Eint__lt, axiom, mem @ c_2Einteger_2Eint__lt @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Einteger_2Eint__lt)). 74.36/74.53 thf(conj_thm_2Einteger_2EINT__LT__CALCULATE, axiom, ![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:((((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14))))&(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14))))<=>~$true))&(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14)))<=>((X13)!=(fo__c_2Enum_2E0)|(X14)!=(fo__c_2Enum_2E0))))&(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14))))<=>p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X14)) @ (inj__ty_2Enum_2Enum @ X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Einteger_2EINT__LT__CALCULATE)). 74.36/74.53 thf(stp_eq_fo_c_2Einteger_2Eint__neg, axiom, ![X30:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X30))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2Eint__neg)). 74.36/74.53 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)). 74.36/74.53 thf(stp_inj_surj_ty_2Enum_2Enum, axiom, ![X40:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X40))=(X40), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_inj_surj_ty_2Enum_2Enum)). 74.36/74.53 thf(stp_eq_fo_c_2Einteger_2ENum, axiom, ![X31:tp__ty_2Einteger_2Eint]:(inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X31))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2ENum)). 74.36/74.53 thf(conj_thm_2Einteger_2ENUM__OF__INT, axiom, ![X13:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13))))=(X13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Einteger_2ENUM__OF__INT)). 74.36/74.53 thf(stp_inj_mem_ty_2Einteger_2Eint, axiom, ![X28:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X28) @ ty_2Einteger_2Eint, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', stp_inj_mem_ty_2Einteger_2Eint)). 74.36/74.53 thf(conj_thm_2Einteger_2EINT__NEG__0, axiom, (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Einteger_2EINT__NEG__0)). 74.36/74.53 thf(ax_thm_2Einteger__word_2Ei2w__def, axiom, ![X11:del, X29:tp__ty_2Einteger_2Eint]:(ap @ (c_2Einteger__word_2Ei2w @ X11) @ (inj__ty_2Einteger_2Eint @ X29))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X11)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X29)) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X29)))))) @ (ap @ (c_2Ewords_2En2w @ X11) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X29)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_thm_2Einteger__word_2Ei2w__def)). 74.36/74.53 thf(conj_thm_2Ewords_2EWORD__NEG__0, axiom, ![X11:del]:(ap @ (c_2Ewords_2Eword__2comp @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ewords_2EWORD__NEG__0)). 74.36/74.53 thf(conj_thm_2Ebool_2Ebool__case__thm, axiom, ![X11:del]:(![X18:$i]:(mem @ X18 @ X11=>![X19:$i]:((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X18) @ X19)=(X18)<=mem @ X19 @ X11))&![X20:$i]:(mem @ X20 @ X11=>![X21:$i]:((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X20) @ X21)=(X21)<=mem @ X21 @ X11))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ebool_2Ebool__case__thm)). 74.36/74.53 thf(conj_thm_2Einteger__word_2Ei2w__0, conjecture, ![X11:del]:(ap @ (c_2Einteger__word_2Ei2w @ X11) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Einteger__word_2Ei2w__0)). 74.36/74.53 thf(mem_c_2Ewords_2En2w, axiom, ![X11:del]:mem @ (c_2Ewords_2En2w @ X11) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ewords_2En2w)). 74.36/74.53 thf(mem_c_2Enum_2E0, axiom, mem @ c_2Enum_2E0 @ ty_2Enum_2Enum, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Enum_2E0)). 74.36/74.53 thf(c_0_21, axiom, ![X4:$i]:(mem @ X4 @ bool=>((~p @ X4|(X4)=(inj__o @ $true))&(p @ X4|(X4)=(inj__o @ $false)))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 74.36/74.53 thf(c_0_22, plain, ![X1:del, X2:del, X7:$i]:(mem @ X7 @ (arr @ X1 @ X2)=>![X4:$i]:(mem @ X4 @ X1=>mem @ (ap @ X7 @ X4) @ X2)), inference(fof_simplification,[status(thm)],[ap_tp])). 74.36/74.53 thf(c_0_23, plain, ![X171:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X171))=(X171), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint])). 74.36/74.53 thf(c_0_24, plain, ![X145:tp__ty_2Enum_2Enum]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X145))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X145)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__of__num])). 74.36/74.53 thf(c_0_25, plain, ![X139:$i]:((~p @ X139|(X139)=(inj__o @ $true)|~mem @ X139 @ bool)&(p @ X139|(X139)=(inj__o @ $false)|~mem @ X139 @ bool)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])). 74.36/74.53 thf(c_0_26, plain, ~p @ c_2Ebool_2EF, inference(fof_simplification,[status(thm)],[ax_false_p])). 74.36/74.53 thf(c_0_27, plain, ![X135:del, X136:del, X137:$i, X138:$i]:(~mem @ X137 @ (arr @ X135 @ X136)|(~mem @ X138 @ X135|mem @ (ap @ X137 @ X138) @ X136)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 74.36/74.53 thf(c_0_28, plain, ![X23:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X23))=(X23), inference(split_conjunct,[status(thm)],[c_0_23])). 74.36/74.53 thf(c_0_29, plain, ![X10:tp__ty_2Enum_2Enum]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X10))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10)), inference(split_conjunct,[status(thm)],[c_0_24])). 74.36/74.53 thf(c_0_30, plain, ![X4:$i]:(p @ X4|(X4)=(inj__o @ $false)|~mem @ X4 @ bool), inference(split_conjunct,[status(thm)],[c_0_25])). 74.36/74.53 thf(c_0_31, plain, mem @ c_2Ebool_2EF @ bool, inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 74.36/74.53 thf(c_0_32, plain, ~p @ c_2Ebool_2EF, inference(split_conjunct,[status(thm)],[c_0_26])). 74.36/74.53 thf(c_0_33, plain, ![X2:del, X7:$i, X4:$i, X1:del]:(mem @ (ap @ X4 @ X7) @ X2|~mem @ X4 @ (arr @ X1 @ X2)|~mem @ X7 @ X1), inference(split_conjunct,[status(thm)],[c_0_27])). 74.36/74.53 thf(c_0_34, plain, mem @ c_2Einteger_2Eint__lt @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ bool)), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__lt])). 74.36/74.53 thf(c_0_35, plain, ![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:((((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14))))&~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14)))))&(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14)))<=>((X13)!=(fo__c_2Enum_2E0)|(X14)!=(fo__c_2Enum_2E0))))&(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X13)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X14))))<=>p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X14)) @ (inj__ty_2Enum_2Enum @ X13)))), inference(fof_simplification,[status(thm)],[conj_thm_2Einteger_2EINT__LT__CALCULATE])). 74.36/74.53 thf(c_0_36, plain, ![X192:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X192))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X192)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__neg])). 74.36/74.53 thf(c_0_37, plain, ![X10:tp__ty_2Enum_2Enum]:(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10)))=(fo__c_2Einteger_2Eint__of__num @ X10), inference(spm,[status(thm)],[c_0_28, c_0_29])). 74.36/74.53 thf(c_0_38, plain, (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)=(c_2Enum_2E0), inference(split_conjunct,[status(thm)],[stp_eq_fo_c_2Enum_2E0])). 74.36/74.53 thf(c_0_39, plain, ![X209:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X209))=(X209), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Enum_2Enum])). 74.36/74.53 thf(c_0_40, plain, ![X193:tp__ty_2Einteger_2Eint]:(inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X193))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X193)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2ENum])). 74.36/74.53 thf(c_0_41, plain, ![X178:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X178))))=(X178), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2ENUM__OF__INT])). 74.36/74.53 thf(c_0_42, plain, (inj__o @ $false)=(c_2Ebool_2EF), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])). 74.36/74.53 thf(c_0_43, plain, ![X4:$i]:(mem @ (ap @ c_2Einteger_2Eint__lt @ X4) @ (arr @ ty_2Einteger_2Eint @ bool)|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_33, c_0_34])). 74.36/74.53 thf(c_0_44, plain, ![X188:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X188) @ ty_2Einteger_2Eint, inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint])). 74.36/74.53 thf(c_0_45, plain, ![X150:tp__ty_2Enum_2Enum, X151:tp__ty_2Enum_2Enum]:(((((~p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X150)) @ (inj__ty_2Enum_2Enum @ X151))|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151))))&(~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151)))|p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X150)) @ (inj__ty_2Enum_2Enum @ X151))))&~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151)))))&((~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151)))|((X150)!=(fo__c_2Enum_2E0)|(X151)!=(fo__c_2Enum_2E0)))&(((X150)=(fo__c_2Enum_2E0)|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151))))&((X151)=(fo__c_2Enum_2E0)|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151)))))))&((~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151))))|p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X151)) @ (inj__ty_2Enum_2Enum @ X150)))&(~p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X151)) @ (inj__ty_2Enum_2Enum @ X150))|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X150)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X151))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])). 74.36/74.53 thf(c_0_46, plain, ![X23:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X23))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)), inference(split_conjunct,[status(thm)],[c_0_36])). 74.36/74.53 thf(c_0_47, plain, (fo__c_2Einteger_2Eint__of__num @ fo__c_2Enum_2E0)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 74.36/74.53 thf(c_0_48, plain, (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), inference(split_conjunct,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__0])). 74.36/74.53 thf(c_0_49, plain, ![X10:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X10))=(X10), inference(split_conjunct,[status(thm)],[c_0_39])). 74.36/74.53 thf(c_0_50, plain, ![X23:tp__ty_2Einteger_2Eint]:(inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X23))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X23)), inference(split_conjunct,[status(thm)],[c_0_40])). 74.36/74.53 thf(c_0_51, plain, ![X10:tp__ty_2Enum_2Enum]:(surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10))))=(X10), inference(split_conjunct,[status(thm)],[c_0_41])). 74.36/74.53 thf(c_0_52, plain, ![X4:$i]:((X4)=(c_2Ebool_2EF)|p @ X4|~mem @ X4 @ bool), inference(rw,[status(thm)],[c_0_30, c_0_42])). 74.36/74.53 thf(c_0_53, plain, ![X7:$i, X4:$i]:(mem @ (ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ X7) @ bool|~mem @ X7 @ ty_2Einteger_2Eint|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_33, c_0_43])). 74.36/74.53 thf(c_0_54, plain, ![X23:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X23) @ ty_2Einteger_2Eint, inference(split_conjunct,[status(thm)],[c_0_44])). 74.36/74.53 thf(c_0_55, plain, ![X10:tp__ty_2Enum_2Enum, X12:tp__ty_2Enum_2Enum]:~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X12)))), inference(split_conjunct,[status(thm)],[c_0_45])). 74.36/74.53 thf(c_0_56, plain, ![X23:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)))=(fo__c_2Einteger_2Eint__neg @ X23), inference(spm,[status(thm)],[c_0_28, c_0_46])). 74.36/74.53 thf(c_0_57, plain, (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_47]), c_0_38])). 74.36/74.53 thf(c_0_58, plain, (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_38]), c_0_38])). 74.36/74.53 thf(c_0_59, plain, ![X189:del, X190:tp__ty_2Einteger_2Eint]:(ap @ (c_2Einteger__word_2Ei2w @ X189) @ (inj__ty_2Einteger_2Eint @ X190))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X189)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X190)) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X189) @ (ap @ (c_2Ewords_2En2w @ X189) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X190)))))) @ (ap @ (c_2Ewords_2En2w @ X189) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X190)))), inference(variable_rename,[status(thm)],[ax_thm_2Einteger__word_2Ei2w__def])). 74.36/74.53 thf(c_0_60, plain, ![X23:tp__ty_2Einteger_2Eint]:(surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X23)))=(fo__c_2Einteger_2ENum @ X23), inference(spm,[status(thm)],[c_0_49, c_0_50])). 74.36/74.53 thf(c_0_61, plain, (surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(fo__c_2Enum_2E0), inference(spm,[status(thm)],[c_0_51, c_0_38])). 74.36/74.53 thf(c_0_62, plain, ![X146:del]:(ap @ (c_2Ewords_2Eword__2comp @ X146) @ (ap @ (c_2Ewords_2En2w @ X146) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X146) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), inference(variable_rename,[status(thm)],[conj_thm_2Ewords_2EWORD__NEG__0])). 74.36/74.53 thf(c_0_63, plain, ![X7:$i, X4:$i]:((ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ X7)=(c_2Ebool_2EF)|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ X7)|~mem @ X7 @ ty_2Einteger_2Eint|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_52, c_0_53])). 74.36/74.53 thf(c_0_64, plain, ![X10:tp__ty_2Enum_2Enum]:mem @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10)) @ ty_2Einteger_2Eint, inference(spm,[status(thm)],[c_0_54, c_0_29])). 74.36/74.53 thf(c_0_65, plain, ![X10:tp__ty_2Enum_2Enum]:~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X10))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_55, c_0_38])). 74.36/74.53 thf(c_0_66, plain, (fo__c_2Einteger_2Eint__neg @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])). 74.36/74.53 thf(c_0_67, plain, ![X1:del, X23:tp__ty_2Einteger_2Eint]:(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (inj__ty_2Einteger_2Eint @ X23))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X23)) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)))))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X23)))), inference(split_conjunct,[status(thm)],[c_0_59])). 74.36/74.53 thf(c_0_68, plain, (fo__c_2Einteger_2ENum @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(fo__c_2Enum_2E0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_57]), c_0_61])). 74.36/74.53 thf(c_0_69, plain, ![X1:del]:(ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), inference(split_conjunct,[status(thm)],[c_0_62])). 74.36/74.53 thf(c_0_70, plain, ![X23:tp__ty_2Einteger_2Eint, X4:$i]:((ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ (inj__ty_2Einteger_2Eint @ X23))=(c_2Ebool_2EF)|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ (inj__ty_2Einteger_2Eint @ X23))|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_63, c_0_54])). 74.36/74.53 thf(c_0_71, plain, mem @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0) @ ty_2Einteger_2Eint, inference(spm,[status(thm)],[c_0_64, c_0_38])). 74.36/74.53 thf(c_0_72, plain, ~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_65, c_0_38])). 74.36/74.53 thf(c_0_73, plain, (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_66]), c_0_57]), c_0_57])). 74.36/74.53 thf(c_0_74, plain, ![X11:del]:(![X18:$i]:(mem @ X18 @ X11=>![X19:$i]:(mem @ X19 @ X11=>(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X18) @ X19)=(X18)))&![X20:$i]:(mem @ X20 @ X11=>![X21:$i]:(mem @ X21 @ X11=>(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X20) @ X21)=(X21)))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2Ebool__case__thm])). 74.36/74.53 thf(c_0_75, plain, ![X1:del, X23:tp__ty_2Einteger_2Eint]:(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X23)) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)))))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X23))))=(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (inj__ty_2Einteger_2Eint @ X23)), inference(rw,[status(thm)],[c_0_67, c_0_38])). 74.36/74.53 thf(c_0_76, plain, (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(c_2Enum_2E0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_68]), c_0_38]), c_0_57])). 74.36/74.53 thf(c_0_77, plain, ![X1:del]:(ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0))=(ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_38]), c_0_38])). 74.36/74.53 thf(c_0_78, plain, ![X23:tp__ty_2Einteger_2Eint]:((ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (inj__ty_2Einteger_2Eint @ X23))=(c_2Ebool_2EF)|p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (inj__ty_2Einteger_2Eint @ X23))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 74.36/74.53 thf(c_0_79, plain, ~p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[c_0_72, c_0_73])). 74.36/74.53 thf(c_0_80, negated_conjecture, ~(![X11:del]:(ap @ (c_2Einteger__word_2Ei2w @ X11) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0])). 74.36/74.53 thf(c_0_81, plain, ![X159:del, X160:$i, X161:$i, X162:$i, X163:$i]:((~mem @ X160 @ X159|(~mem @ X161 @ X159|(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X159) @ c_2Ebool_2ET) @ X160) @ X161)=(X160)))&(~mem @ X162 @ X159|(~mem @ X163 @ X159|(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X159) @ c_2Ebool_2EF) @ X162) @ X163)=(X163)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])). 74.36/74.53 thf(c_0_82, plain, ![X1:del]:(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))) @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0)) @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0))=(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_57]), c_0_73]), c_0_76]), c_0_77]), c_0_76])). 74.36/74.53 thf(c_0_83, plain, (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(c_2Ebool_2EF), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_57]), c_0_79])). 74.36/74.53 thf(c_0_84, plain, ![X173:del]:mem @ (c_2Ewords_2En2w @ X173) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X173)), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w])). 74.36/74.53 thf(c_0_85, negated_conjecture, (ap @ (c_2Einteger__word_2Ei2w @ esk3_0) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))!=(ap @ (c_2Ewords_2En2w @ esk3_0) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])). 74.36/74.53 thf(c_0_86, plain, ![X7:$i, X4:$i, X1:del]:((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X4) @ X7)=(X7)|~mem @ X4 @ X1|~mem @ X7 @ X1), inference(split_conjunct,[status(thm)],[c_0_81])). 74.36/74.53 thf(c_0_87, plain, ![X1:del]:(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ c_2Ebool_2EF) @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0)) @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0))=(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[c_0_82, c_0_83])). 74.36/74.53 thf(c_0_88, plain, ![X1:del]:mem @ (c_2Ewords_2En2w @ X1) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X1)), inference(split_conjunct,[status(thm)],[c_0_84])). 74.36/74.53 thf(c_0_89, negated_conjecture, (ap @ (c_2Einteger__word_2Ei2w @ esk3_0) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))!=(ap @ (c_2Ewords_2En2w @ esk3_0) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)), inference(split_conjunct,[status(thm)],[c_0_85])). 74.36/74.53 thf(c_0_90, plain, ![X1:del]:((ap @ (c_2Einteger__word_2Ei2w @ X1) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0)|~mem @ (ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0) @ (ty_2Efcp_2Ecart @ bool @ X1)), inference(spm,[status(thm)],[c_0_86, c_0_87])). 74.36/74.53 thf(c_0_91, plain, ![X1:del, X4:$i]:(mem @ (ap @ (c_2Ewords_2En2w @ X1) @ X4) @ (ty_2Efcp_2Ecart @ bool @ X1)|~mem @ X4 @ ty_2Enum_2Enum), inference(spm,[status(thm)],[c_0_33, c_0_88])). 74.36/74.53 thf(c_0_92, plain, mem @ c_2Enum_2E0 @ ty_2Enum_2Enum, inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0])). 74.36/74.53 thf(c_0_93, negated_conjecture, (ap @ (c_2Einteger__word_2Ei2w @ esk3_0) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))!=(ap @ (c_2Ewords_2En2w @ esk3_0) @ c_2Enum_2E0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_38]), c_0_38])). 74.36/74.53 thf(c_0_94, plain, ![X1:del]:(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])])). 74.36/74.53 thf(c_0_95, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])]), ['proof']). 74.36/74.53 # SZS output end CNFRefutation 74.36/74.53 # Proof object total steps : 96 74.36/74.53 # Proof object clause steps : 54 74.36/74.53 # Proof object formula steps : 42 74.36/74.53 # Proof object conjectures : 6 74.36/74.53 # Proof object clause conjectures : 3 74.36/74.53 # Proof object formula conjectures : 3 74.36/74.53 # Proof object initial clauses used : 21 74.36/74.53 # Proof object initial formulas used : 21 74.36/74.53 # Proof object generating inferences : 25 74.36/74.53 # Proof object simplifying inferences : 27 74.36/74.53 # Training examples: 0 positive, 0 negative 74.36/74.53 # Parsed axioms : 108 74.36/74.53 # Removed by relevancy pruning/SinE : 0 74.36/74.53 # Initial clauses : 156 74.36/74.53 # Removed in clause preprocessing : 71 74.36/74.53 # Initial clauses in saturation : 85 74.36/74.53 # Processed clauses : 80912 74.36/74.53 # ...of these trivial : 1358 74.36/74.53 # ...subsumed : 70570 74.36/74.53 # ...remaining for further processing : 8984 74.36/74.53 # Other redundant clauses eliminated : 740 74.36/74.53 # Clauses deleted for lack of memory : 0 74.36/74.53 # Backward-subsumed : 50 74.36/74.53 # Backward-rewritten : 250 74.36/74.53 # Generated clauses : 1330580 74.36/74.53 # ...of the previous two non-trivial : 1287628 74.36/74.53 # Contextual simplify-reflections : 43 74.36/74.53 # Paramodulations : 1329454 74.36/74.53 # Factorizations : 22 74.36/74.53 # NegExts : 33 74.36/74.53 # Equation resolutions : 746 74.36/74.53 # Propositional unsat checks : 1 74.36/74.53 # Propositional check models : 0 74.36/74.53 # Propositional check unsatisfiable : 0 74.36/74.53 # Propositional clauses : 0 74.36/74.53 # Propositional clauses after purity: 0 74.36/74.53 # Propositional unsat core size : 0 74.36/74.53 # Propositional preprocessing time : 0.000 74.36/74.53 # Propositional encoding time : 1.034 74.36/74.53 # Propositional solver time : 0.193 74.36/74.53 # Success case prop preproc time : 0.000 74.36/74.53 # Success case prop encoding time : 0.000 74.36/74.53 # Success case prop solver time : 0.000 74.36/74.53 # Current number of processed clauses : 8594 74.36/74.53 # Positive orientable unit clauses : 871 74.36/74.53 # Positive unorientable unit clauses: 0 74.36/74.53 # Negative unit clauses : 1944 74.36/74.53 # Non-unit-clauses : 5779 74.36/74.53 # Current number of unprocessed clauses: 1204902 74.36/74.53 # ...number of literals in the above : 2945353 74.36/74.53 # Current number of archived formulas : 0 74.36/74.53 # Current number of archived clauses : 384 74.36/74.53 # Clause-clause subsumption calls (NU) : 2403637 74.36/74.53 # Rec. Clause-clause subsumption calls : 1423195 74.36/74.53 # Non-unit clause-clause subsumptions : 23374 74.36/74.53 # Unit Clause-clause subsumption calls : 236172 74.36/74.53 # Rewrite failures with RHS unbound : 0 74.36/74.53 # BW rewrite match attempts : 166449 74.36/74.53 # BW rewrite match successes : 219 74.36/74.53 # Condensation attempts : 0 74.36/74.53 # Condensation successes : 0 74.36/74.53 # Termbank termtop insertions : 52851888 74.36/74.58 74.36/74.58 # ------------------------------------------------- 74.36/74.58 # User time : 72.539 s 74.36/74.58 # System time : 1.697 s 74.36/74.58 # Total time : 74.236 s 74.36/74.58 # Maximum resident set size: 1784 pages 74.36/74.59 EOF