0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.08/0.35 % Computer : n012.cluster.edu 0.08/0.35 % Model : x86_64 x86_64 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.35 % Memory : 8046.5625MB 0.08/0.35 % OS : Linux 6.8.0-71-generic 0.08/0.35 % CPULimit : 1440 0.08/0.35 % WCLimit : 180 0.08/0.35 % DateTime : Mon Jul 27 13:02:03 UTC 2026 0.08/0.36 % CPUTime : 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.40 Running higher-order theorem proving 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p 33.55/6.17 % Version: 3.5.1-ho 33.55/6.17 % Preprocessing class: HSLSSMSMSSSNSFA. 33.55/6.17 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 33.55/6.17 % Starting new_ho_10 with 540s (3) cores 33.55/6.17 % Starting sh2lt with 180s (1) cores 33.55/6.17 % Starting new_ho_5 with 180s (1) cores 33.55/6.17 % Starting full_lambda_5 with 180s (1) cores 33.55/6.17 % Starting sh9 with 180s (1) cores 33.55/6.17 % Starting ehoh_best8_lambda with 180s (1) cores 33.55/6.17 % new_ho_5 with pid 2050601 completed with status 0 33.55/6.17 % Result found by new_ho_5 33.55/6.17 % Preprocessing class: HSLSSMSMSSSNSFA. 33.55/6.17 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 33.55/6.17 % Starting new_ho_10 with 540s (3) cores 33.55/6.17 % Starting sh2lt with 180s (1) cores 33.55/6.17 % Starting new_ho_5 with 180s (1) cores 33.55/6.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)) 33.55/6.17 % SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true) 33.55/6.17 % Search class: HGHSM-FFMM31-DSFFFFBN 33.55/6.17 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 33.55/6.17 % Starting SubtermCWHack with 19s (1) cores 33.55/6.17 % SubtermCWHack with pid 2050609 completed with status 0 33.55/6.17 % Result found by SubtermCWHack 33.55/6.17 % Preprocessing class: HSLSSMSMSSSNSFA. 33.55/6.17 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 33.55/6.17 % Starting new_ho_10 with 540s (3) cores 33.55/6.17 % Starting sh2lt with 180s (1) cores 33.55/6.17 % Starting new_ho_5 with 180s (1) cores 33.55/6.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)) 33.55/6.17 % SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true) 33.55/6.17 % Search class: HGHSM-FFMM31-DSFFFFBN 33.55/6.17 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 33.55/6.17 % Starting SubtermCWHack with 19s (1) cores 33.55/6.17 % Preprocessing time : 0.002 s 33.55/6.17 33.55/6.17 % Proof found! 33.55/6.17 % SZS status Theorem 33.55/6.17 % SZS output start CNFRefutation 33.55/6.17 thf(decl_sort1, type, tp__ty_2Enum_2Enum: $tType). 33.55/6.17 thf(decl_sort2, type, del: $tType). 33.55/6.17 thf(decl_sort3, type, tp__ty_2Einteger_2Eint: $tType). 33.55/6.17 thf(decl_23, type, bool: del). 33.55/6.17 thf(decl_25, type, arr: del > del > del). 33.55/6.17 thf(decl_26, type, mem: $i > del > $o). 33.55/6.17 thf(decl_27, type, ap: $i > $i > $i). 33.55/6.17 thf(decl_29, type, p: $i > $o). 33.55/6.17 thf(decl_30, type, inj__o: $o > $i). 33.55/6.17 thf(decl_32, type, c_2Ebool_2ET: $i). 33.55/6.17 thf(decl_33, type, c_2Ebool_2EF: $i). 33.55/6.17 thf(decl_36, type, ty_2Einteger_2Eint: del). 33.55/6.17 thf(decl_37, type, inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i). 33.55/6.17 thf(decl_38, type, surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint). 33.55/6.17 thf(decl_39, type, c_2Einteger_2Eint__neg: $i). 33.55/6.17 thf(decl_40, type, fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint). 33.55/6.17 thf(decl_41, type, ty_2Enum_2Enum: del). 33.55/6.17 thf(decl_42, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 33.55/6.17 thf(decl_43, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum). 33.55/6.17 thf(decl_44, type, c_2Einteger_2ENum: $i). 33.55/6.17 thf(decl_45, type, fo__c_2Einteger_2ENum: tp__ty_2Einteger_2Eint > tp__ty_2Enum_2Enum). 33.55/6.17 thf(decl_46, type, c_2Einteger_2Eint__of__num: $i). 33.55/6.17 thf(decl_47, type, fo__c_2Einteger_2Eint__of__num: tp__ty_2Enum_2Enum > tp__ty_2Einteger_2Eint). 33.55/6.17 thf(decl_48, type, c_2Einteger_2Eint__lt: $i). 33.55/6.17 thf(decl_49, type, c_2Ebool_2ECOND: del > $i). 33.55/6.17 thf(decl_50, type, ty_2Efcp_2Ecart: del > del > del). 33.55/6.17 thf(decl_51, type, c_2Einteger__word_2Ei2w: del > $i). 33.55/6.17 thf(decl_52, type, c_2Eprim__rec_2E_3C: $i). 33.55/6.17 thf(decl_60, type, c_2Enum_2E0: $i). 33.55/6.17 thf(decl_61, type, fo__c_2Enum_2E0: tp__ty_2Enum_2Enum). 33.55/6.17 thf(decl_62, type, c_2Ewords_2En2w: del > $i). 33.55/6.17 thf(decl_63, type, c_2Ewords_2Eword__2comp: del > $i). 33.55/6.17 thf(decl_65, type, esk1_0: del). 33.55/6.17 thf(conj_thm_2Eprim__rec_2ENOT__LESS__0, axiom, ![X11:tp__ty_2Enum_2Enum]:(~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Eprim__rec_2ENOT__LESS__0)). 33.55/6.17 thf(stp_iso_mem_o, axiom, ![X4:$i]:((((X4)=(inj__o @ ((p @ X4))))<=(mem @ X4 @ bool))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_iso_mem_o)). 33.55/6.17 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', ax_false_p)). 33.55/6.17 thf(conj_thm_2Einteger_2EINT__LT__CALCULATE, axiom, ![X11:tp__ty_2Enum_2Enum, X24:tp__ty_2Enum_2Enum]:((((((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24))))<=>(((X11)!=(fo__c_2Enum_2E0))|((X24)!=(fo__c_2Enum_2E0))))&(~($true)<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24)))))))&((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X24)) @ (inj__ty_2Enum_2Enum @ X11)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24)))))))&((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24))))<=>(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ X24)))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Einteger_2EINT__LT__CALCULATE)). 33.55/6.17 thf(stp_inj_surj_ty_2Einteger_2Eint, axiom, ![X33:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X33))=(X33))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_inj_surj_ty_2Einteger_2Eint)). 33.55/6.17 thf(stp_eq_fo_c_2Einteger_2Eint__of__num, axiom, ![X17:tp__ty_2Enum_2Enum]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X17))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X17)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_eq_fo_c_2Einteger_2Eint__of__num)). 33.55/6.17 thf(stp_inj_mem_ty_2Einteger_2Eint, axiom, ![X31:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X31) @ ty_2Einteger_2Eint)), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_inj_mem_ty_2Einteger_2Eint)). 33.55/6.17 thf(stp_eq_fo_c_2Einteger_2Eint__neg, axiom, ![X32:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X32))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X32)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_eq_fo_c_2Einteger_2Eint__neg)). 33.55/6.17 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X16:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X16) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_inj_mem_ty_2Enum_2Enum)). 33.55/6.17 thf(stp_eq_fo_c_2Einteger_2ENum, axiom, ![X23:tp__ty_2Einteger_2Eint]:(((inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X23))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X23)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_eq_fo_c_2Einteger_2ENum)). 33.55/6.17 thf(stp_eq_fo_c_2Enum_2E0, axiom, ((inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)=(c_2Enum_2E0)), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_eq_fo_c_2Enum_2E0)). 33.55/6.17 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', mem_c_2Ebool_2EF)). 33.55/6.17 thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', ap_tp)). 33.55/6.17 thf(mem_c_2Einteger_2Eint__lt, axiom, (mem @ c_2Einteger_2Eint__lt @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ bool))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', mem_c_2Einteger_2Eint__lt)). 33.55/6.17 thf(conj_thm_2Einteger_2ENUM__OF__INT, axiom, ![X11:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))))=(X11))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Einteger_2ENUM__OF__INT)). 33.55/6.17 thf(ax_thm_2Einteger__word_2Ei2w__def, axiom, ![X10:del, X15:tp__ty_2Einteger_2Eint]:(((ap @ (c_2Einteger__word_2Ei2w @ X10) @ (inj__ty_2Einteger_2Eint @ X15))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X10)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X15)) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X10) @ (ap @ (c_2Ewords_2En2w @ X10) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X15)))))) @ (ap @ (c_2Ewords_2En2w @ X10) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X15)))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', ax_thm_2Einteger__word_2Ei2w__def)). 33.55/6.17 thf(stp_iso_mem_ty_2Einteger_2Eint, axiom, ![X4:$i]:(((mem @ X4 @ ty_2Einteger_2Eint)=>((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_iso_mem_ty_2Einteger_2Eint)). 33.55/6.17 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/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Einteger_2EINT__NEG__0)). 33.55/6.17 thf(stp_iso_mem_ty_2Enum_2Enum, axiom, ![X4:$i]:(((mem @ X4 @ ty_2Enum_2Enum)=>((X4)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', stp_iso_mem_ty_2Enum_2Enum)). 33.55/6.17 thf(conj_thm_2Ewords_2EWORD__NEG__0, axiom, ![X10:del]:(((ap @ (c_2Ewords_2Eword__2comp @ X10) @ (ap @ (c_2Ewords_2En2w @ X10) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X10) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Ewords_2EWORD__NEG__0)). 33.55/6.17 thf(conj_thm_2Ebool_2Ebool__case__thm, axiom, ![X10:del]:((![X36:$i]:(((mem @ X36 @ X10)=>![X37:$i]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2EF) @ X36) @ X37)=(X37))<=(mem @ X37 @ X10)))))&![X19:$i]:(((mem @ X19 @ X10)=>![X20:$i]:(((mem @ X20 @ X10)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2ET) @ X19) @ X20)=(X19)))))))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Ebool_2Ebool__case__thm)). 33.55/6.17 thf(conj_thm_2Einteger__word_2Ei2w__0, conjecture, ![X10:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X10) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X10) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', conj_thm_2Einteger__word_2Ei2w__0)). 33.55/6.17 thf(mem_c_2Ewords_2En2w, axiom, ![X10:del]:((mem @ (c_2Ewords_2En2w @ X10) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X10)))), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', mem_c_2Ewords_2En2w)). 33.55/6.17 thf(mem_c_2Enum_2E0, axiom, (mem @ c_2Enum_2E0 @ ty_2Enum_2Enum), file('/export/starexec/sandbox2/tmp/tmp.oW1T2h51Ng/E---3.1_2050586.p', mem_c_2Enum_2E0)). 33.55/6.17 thf(c_0_24, plain, ![X11:tp__ty_2Enum_2Enum]:(~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(fof_simplification,[status(thm)],[conj_thm_2Eprim__rec_2ENOT__LESS__0])). 33.55/6.17 thf(c_0_25, plain, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[stp_iso_mem_o])])). 33.55/6.17 thf(c_0_26, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 33.55/6.17 thf(c_0_27, plain, ![X11:tp__ty_2Enum_2Enum, X24:tp__ty_2Enum_2Enum]:((((((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24))))<=>(((X11)!=(fo__c_2Enum_2E0))|((X24)!=(fo__c_2Enum_2E0))))&(~($true)<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24)))))))&((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X24)) @ (inj__ty_2Enum_2Enum @ X11)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24)))))))&((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X24))))<=>(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ X24)))))), inference(fof_simplification,[status(thm)],[conj_thm_2Einteger_2EINT__LT__CALCULATE])). 33.55/6.17 thf(c_0_28, plain, ![X130:tp__ty_2Enum_2Enum]:(~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X130)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])])). 33.55/6.17 thf(c_0_29, plain, ![X158:$i]:(((~(p @ X158)|((X158)=(inj__o @ $true))|~(mem @ X158 @ bool))&((p @ X158)|((X158)=(inj__o @ $false))|~(mem @ X158 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])). 33.55/6.17 thf(c_0_30, plain, ~(p @ c_2Ebool_2EF), inference(fof_nnf,[status(thm)],[c_0_26])). 33.55/6.17 thf(c_0_31, plain, ![X159:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X159))=(X159))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint])). 33.55/6.17 thf(c_0_32, plain, ![X135:tp__ty_2Enum_2Enum]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X135))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X135)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__of__num])). 33.55/6.17 thf(c_0_33, plain, ![X142:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X142) @ ty_2Einteger_2Eint)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint])). 33.55/6.17 thf(c_0_34, plain, ![X161:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X161))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X161)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__neg])). 33.55/6.17 thf(c_0_35, plain, ![X124:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X124) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])). 33.55/6.17 thf(c_0_36, plain, ![X151:tp__ty_2Einteger_2Eint]:(((inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X151))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X151)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2ENum])). 33.55/6.17 thf(c_0_37, plain, ![X126:tp__ty_2Enum_2Enum, X127:tp__ty_2Enum_2Enum]:((((((~(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127))))|(((X126)!=(fo__c_2Enum_2E0))|((X127)!=(fo__c_2Enum_2E0))))&((((X126)=(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 @ X126)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127)))))&(((X127)=(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 @ X126)))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127)))))))&((($true)|(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127))))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127)))))|~($true))))&((~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X127)) @ (inj__ty_2Enum_2Enum @ X126)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127))))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126)))) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127)))))|(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X127)) @ (inj__ty_2Enum_2Enum @ X126))))))&((~(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127))))|(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X126)) @ (inj__ty_2Enum_2Enum @ X127))))&(~(p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X126)) @ (inj__ty_2Enum_2Enum @ X127)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X126))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X127)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])). 33.55/6.17 thf(c_0_38, plain, ![X11:tp__ty_2Enum_2Enum]:(~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(split_conjunct,[status(thm)],[c_0_28])). 33.55/6.17 thf(c_0_39, plain, ((inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)=(c_2Enum_2E0)), inference(split_conjunct,[status(thm)],[stp_eq_fo_c_2Enum_2E0])). 33.55/6.17 thf(c_0_40, plain, ![X4:$i]:(((p @ X4)|((X4)=(inj__o @ (~($true))))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_29])). 33.55/6.17 thf(c_0_41, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 33.55/6.17 thf(c_0_42, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_30])). 33.55/6.17 thf(c_0_43, plain, ![X110:del, X111:del, X112:$i, X113:$i]:((~(mem @ X112 @ (arr @ X110 @ X111))|(~(mem @ X113 @ X110)|(mem @ (ap @ X112 @ X113) @ X111)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 33.55/6.17 thf(c_0_44, plain, ![X15:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X15))=(X15))), inference(split_conjunct,[status(thm)],[c_0_31])). 33.55/6.17 thf(c_0_45, plain, ![X11:tp__ty_2Enum_2Enum]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__of__num @ X11))=(ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))), inference(split_conjunct,[status(thm)],[c_0_32])). 33.55/6.17 thf(c_0_46, plain, ![X15:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X15) @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[c_0_33])). 33.55/6.17 thf(c_0_47, plain, ![X15:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X15))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X15)))), inference(split_conjunct,[status(thm)],[c_0_34])). 33.55/6.17 thf(c_0_48, plain, ![X11:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X11) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_35])). 33.55/6.17 thf(c_0_49, plain, ![X15:tp__ty_2Einteger_2Eint]:(((inj__ty_2Enum_2Enum @ (fo__c_2Einteger_2ENum @ X15))=(ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X15)))), inference(split_conjunct,[status(thm)],[c_0_36])). 33.55/6.17 thf(c_0_50, plain, ![X11:tp__ty_2Enum_2Enum, X12:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ (inj__ty_2Enum_2Enum @ X12)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X12))))))), inference(split_conjunct,[status(thm)],[c_0_37])). 33.55/6.17 thf(c_0_51, plain, ![X11:tp__ty_2Enum_2Enum]:(~((p @ (ap @ (ap @ c_2Eprim__rec_2E_3C @ (inj__ty_2Enum_2Enum @ X11)) @ c_2Enum_2E0)))), inference(rw,[status(thm)],[c_0_38, c_0_39])). 33.55/6.17 thf(c_0_52, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 33.55/6.17 thf(c_0_53, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_43])). 33.55/6.17 thf(c_0_54, 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])). 33.55/6.17 thf(c_0_55, plain, ![X11:tp__ty_2Enum_2Enum]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)))=(fo__c_2Einteger_2Eint__of__num @ X11))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 33.55/6.17 thf(c_0_56, plain, ![X15:tp__ty_2Einteger_2Eint]:((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X15)) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_46, c_0_47])). 33.55/6.17 thf(c_0_57, plain, ![X114:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X114))))=(X114))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2ENUM__OF__INT])). 33.55/6.17 thf(c_0_58, plain, ![X15:tp__ty_2Einteger_2Eint]:((mem @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X15)) @ ty_2Enum_2Enum)), inference(spm,[status(thm)],[c_0_48, c_0_49])). 33.55/6.17 thf(c_0_59, plain, ![X11:tp__ty_2Enum_2Enum]:(~((p @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_39]), c_0_51])). 33.55/6.17 thf(c_0_60, plain, ![X4:$i]:((((X4)=(c_2Ebool_2EF))|(p @ X4)|~((mem @ X4 @ bool)))), inference(rw,[status(thm)],[c_0_40, c_0_52])). 33.55/6.17 thf(c_0_61, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__lt @ X4) @ (arr @ ty_2Einteger_2Eint @ bool))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 33.55/6.17 thf(c_0_62, plain, ![X11:tp__ty_2Enum_2Enum]:((mem @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11)) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_46, c_0_45])). 33.55/6.17 thf(c_0_63, plain, ![X122:del, X123:tp__ty_2Einteger_2Eint]:(((ap @ (c_2Einteger__word_2Ei2w @ X122) @ (inj__ty_2Einteger_2Eint @ X123))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X122)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X123)) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X122) @ (ap @ (c_2Ewords_2En2w @ X122) @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X123)))))) @ (ap @ (c_2Ewords_2En2w @ X122) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X123)))))), inference(variable_rename,[status(thm)],[ax_thm_2Einteger__word_2Ei2w__def])). 33.55/6.17 thf(c_0_64, plain, ![X160:$i]:((~(mem @ X160 @ ty_2Einteger_2Eint)|((X160)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X160))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])])])). 33.55/6.17 thf(c_0_65, plain, ((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__0])). 33.55/6.17 thf(c_0_66, plain, ((fo__c_2Einteger_2Eint__of__num @ fo__c_2Enum_2E0)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))), inference(spm,[status(thm)],[c_0_55, c_0_39])). 33.55/6.17 thf(c_0_67, plain, ![X11:tp__ty_2Enum_2Enum]:((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_56, c_0_45])). 33.55/6.17 thf(c_0_68, plain, ![X128:$i]:((~(mem @ X128 @ ty_2Enum_2Enum)|((X128)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X128))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Enum_2Enum])])])). 33.55/6.17 thf(c_0_69, plain, ![X11:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))))=(X11))), inference(split_conjunct,[status(thm)],[c_0_57])). 33.55/6.17 thf(c_0_70, plain, ![X11:tp__ty_2Enum_2Enum]:((mem @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ ty_2Enum_2Enum)), inference(spm,[status(thm)],[c_0_58, c_0_45])). 33.55/6.17 thf(c_0_71, plain, ![X125:del]:(((ap @ (c_2Ewords_2Eword__2comp @ X125) @ (ap @ (c_2Ewords_2En2w @ X125) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X125) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(variable_rename,[status(thm)],[conj_thm_2Ewords_2EWORD__NEG__0])). 33.55/6.17 thf(c_0_72, plain, ![X11:tp__ty_2Enum_2Enum]:((((ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(c_2Ebool_2EF))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ bool)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 33.55/6.17 thf(c_0_73, plain, ![X5:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Einteger_2Eint__lt @ X4) @ X5) @ bool)|~((mem @ X5 @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_53, c_0_61])). 33.55/6.17 thf(c_0_74, plain, (mem @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0) @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_62, c_0_39])). 33.55/6.17 thf(c_0_75, plain, ![X10:del]:((![X36:$i]:(((mem @ X36 @ X10)=>![X37:$i]:(((mem @ X37 @ X10)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2EF) @ X36) @ X37)=(X37))))))&![X19:$i]:(((mem @ X19 @ X10)=>![X20:$i]:(((mem @ X20 @ X10)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2ET) @ X19) @ X20)=(X19)))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2Ebool__case__thm])). 33.55/6.17 thf(c_0_76, plain, ![X1:del, X15:tp__ty_2Einteger_2Eint]:(((ap @ (c_2Einteger__word_2Ei2w @ X1) @ (inj__ty_2Einteger_2Eint @ X15))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Einteger_2Eint__lt @ (inj__ty_2Einteger_2Eint @ X15)) @ (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 @ X15)))))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X15)))))), inference(split_conjunct,[status(thm)],[c_0_63])). 33.55/6.17 thf(c_0_77, plain, ![X4:$i]:((((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(split_conjunct,[status(thm)],[c_0_64])). 33.55/6.17 thf(c_0_78, plain, ((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_39]), c_0_39])). 33.55/6.17 thf(c_0_79, plain, ((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)))=(ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_66]), c_0_39])). 33.55/6.17 thf(c_0_80, plain, (mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_67, c_0_39])). 33.55/6.17 thf(c_0_81, plain, ![X4:$i]:((((X4)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X4)))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(split_conjunct,[status(thm)],[c_0_68])). 33.55/6.17 thf(c_0_82, 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_69, c_0_39])). 33.55/6.17 thf(c_0_83, plain, (mem @ (ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0)) @ ty_2Enum_2Enum), inference(spm,[status(thm)],[c_0_70, c_0_39])). 33.55/6.17 thf(c_0_84, 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_71])). 33.55/6.17 thf(c_0_85, plain, ![X11:tp__ty_2Enum_2Enum]:(((ap @ (ap @ c_2Einteger_2Eint__lt @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ X11))) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(c_2Ebool_2EF))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), c_0_62])])). 33.55/6.17 thf(c_0_86, negated_conjecture, ~(![X10:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X10) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X10) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0])). 33.55/6.17 thf(c_0_87, plain, ![X152:del, X153:$i, X154:$i, X155:$i, X156:$i]:(((~(mem @ X153 @ X152)|(~(mem @ X154 @ X152)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X152) @ c_2Ebool_2EF) @ X153) @ X154)=(X154))))&(~(mem @ X155 @ X152)|(~(mem @ X156 @ X152)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X152) @ c_2Ebool_2ET) @ X155) @ X156)=(X155)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])). 33.55/6.17 thf(c_0_88, plain, ![X1:del, X15: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 @ X15)) @ (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 @ X15)))))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ c_2Einteger_2ENum @ (inj__ty_2Einteger_2Eint @ X15))))=(ap @ (c_2Einteger__word_2Ei2w @ X1) @ (inj__ty_2Einteger_2Eint @ X15)))), inference(rw,[status(thm)],[c_0_76, c_0_39])). 33.55/6.17 thf(c_0_89, 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79]), c_0_80])])). 33.55/6.17 thf(c_0_90, plain, ((ap @ c_2Einteger_2ENum @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(c_2Enum_2E0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_39]), c_0_83])])). 33.55/6.17 thf(c_0_91, 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_84, c_0_39]), c_0_39])). 33.55/6.17 thf(c_0_92, 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(spm,[status(thm)],[c_0_85, c_0_39])). 33.55/6.17 thf(c_0_93, plain, ![X134:del]:((mem @ (c_2Ewords_2En2w @ X134) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X134)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w])). 33.55/6.17 thf(c_0_94, negated_conjecture, ((ap @ (c_2Einteger__word_2Ei2w @ esk1_0) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))!=(ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])])). 33.55/6.17 thf(c_0_95, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X4) @ X5)=(X5))|~((mem @ X4 @ X1))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_87])). 33.55/6.17 thf(c_0_96, 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_79]), c_0_89]), c_0_90]), c_0_91]), c_0_90]), c_0_92])). 33.55/6.17 thf(c_0_97, plain, ![X1:del]:((mem @ (c_2Ewords_2En2w @ X1) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X1)))), inference(split_conjunct,[status(thm)],[c_0_93])). 33.55/6.17 thf(c_0_98, negated_conjecture, ((ap @ (c_2Einteger__word_2Ei2w @ esk1_0) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))!=(ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), inference(split_conjunct,[status(thm)],[c_0_94])). 33.55/6.17 thf(c_0_99, 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_95, c_0_96])). 33.55/6.17 thf(c_0_100, plain, ![X1:del, X4:$i]:(((mem @ (ap @ (c_2Ewords_2En2w @ X1) @ X4) @ (ty_2Efcp_2Ecart @ bool @ X1))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_53, c_0_97])). 33.55/6.17 thf(c_0_101, plain, (mem @ c_2Enum_2E0 @ ty_2Enum_2Enum), inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0])). 33.55/6.17 thf(c_0_102, negated_conjecture, ((ap @ (c_2Einteger__word_2Ei2w @ esk1_0) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))!=(ap @ (c_2Ewords_2En2w @ esk1_0) @ c_2Enum_2E0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_39]), c_0_39])). 33.55/6.17 thf(c_0_103, plain, ![X1:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X1) @ (ap @ c_2Einteger_2Eint__of__num @ c_2Enum_2E0))=(ap @ (c_2Ewords_2En2w @ X1) @ c_2Enum_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_101])])). 33.55/6.17 thf(c_0_104, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_103])]), ['proof']). 33.55/6.17 % SZS output end CNFRefutation 33.55/6.17 % Parsed axioms : 108 33.55/6.17 % Removed by relevancy pruning/SinE : 60 33.55/6.17 % Initial clauses : 82 33.55/6.17 % Removed in clause preprocessing : 24 33.55/6.17 % Initial clauses in saturation : 58 33.55/6.17 % Processed clauses : 9217 33.55/6.17 % ...of these trivial : 983 33.55/6.17 % ...subsumed : 5815 33.55/6.17 % ...remaining for further processing : 2419 33.55/6.17 % Other redundant clauses eliminated : 26 33.55/6.17 % Clauses deleted for lack of memory : 0 33.55/6.17 % Backward-subsumed : 6 33.55/6.17 % Backward-rewritten : 63 33.55/6.17 % Generated clauses : 156210 33.55/6.17 % ...of the previous two non-redundant : 129736 33.55/6.17 % ...aggressively subsumed : 0 33.55/6.17 % Contextual simplify-reflections : 13 33.55/6.17 % Paramodulations : 156174 33.55/6.17 % Factorizations : 4 33.55/6.17 % NegExts : 0 33.55/6.17 % Equation resolutions : 35 33.55/6.17 % Disequality decompositions : 0 33.55/6.17 % Total rewrite steps : 74318 33.55/6.17 % ...of those cached : 68627 33.55/6.17 % Propositional unsat checks : 0 33.55/6.17 % Propositional check models : 0 33.55/6.17 % Propositional check unsatisfiable : 0 33.55/6.17 % Propositional clauses : 0 33.55/6.17 % Propositional clauses after purity: 0 33.55/6.17 % Propositional unsat core size : 0 33.55/6.17 % Propositional preprocessing time : 0.000 33.55/6.17 % Propositional encoding time : 0.000 33.55/6.17 % Propositional solver time : 0.000 33.55/6.17 % Success case prop preproc time : 0.000 33.55/6.17 % Success case prop encoding time : 0.000 33.55/6.17 % Success case prop solver time : 0.000 33.55/6.17 % Current number of processed clauses : 2345 33.55/6.17 % Positive orientable unit clauses : 1172 33.55/6.17 % Positive unorientable unit clauses: 0 33.55/6.17 % Negative unit clauses : 4 33.55/6.17 % Non-unit-clauses : 1169 33.55/6.17 % Current number of unprocessed clauses: 120162 33.55/6.17 % ...number of literals in the above : 242056 33.55/6.17 % Current number of archived formulas : 0 33.55/6.17 % Current number of archived clauses : 69 33.55/6.17 % Clause-clause subsumption calls (NU) : 278817 33.55/6.17 % Rec. Clause-clause subsumption calls : 266746 33.55/6.17 % Non-unit clause-clause subsumptions : 4445 33.55/6.17 % Unit Clause-clause subsumption calls : 1071 33.55/6.17 % Rewrite failures with RHS unbound : 0 33.55/6.17 % BW rewrite match attempts : 138035 33.55/6.17 % BW rewrite match successes : 52 33.55/6.17 % Condensation attempts : 0 33.55/6.17 % Condensation successes : 0 33.55/6.17 % Termbank termtop insertions : 3814815 33.55/6.17 % Search garbage collected termcells : 1503 33.55/6.17 33.55/6.17 % ------------------------------------------------- 33.55/6.17 % User time : 2.666 s 33.55/6.17 % System time : 0.105 s 33.55/6.17 % Total time : 2.771 s 33.55/6.17 % Maximum resident set size: 4016 pages 33.55/6.17 33.55/6.17 % ------------------------------------------------- 33.55/6.17 % User time : 2.669 s 33.55/6.17 % System time : 0.110 s 33.55/6.17 % Total time : 2.779 s 33.55/6.17 % Maximum resident set size: 4864 pages 33.55/6.17 % E exiting 33.55/6.17 EOF