0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n021.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.31 % CPULimit : 1440 0.16/0.31 % WCLimit : 180 0.16/0.31 % DateTime : Thu Jul 4 10:50:54 EDT 2024 0.16/0.31 % CPUTime : 0.17/0.44 Running higher-order theorem proving 0.17/0.45 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.lTGc7g1TI4/E---3.1_31406.p 62.26/8.36 # Version: 3.2.0-ho 62.26/8.36 # Preprocessing class: HSLSSMSMSSSNSFA. 62.26/8.36 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 62.26/8.36 # Starting new_ho_10 with 540s (3) cores 62.26/8.36 # Starting sh2lt with 180s (1) cores 62.26/8.36 # Starting new_ho_5 with 180s (1) cores 62.26/8.36 # Starting full_lambda_5 with 180s (1) cores 62.26/8.36 # Starting sh9 with 180s (1) cores 62.26/8.36 # Starting ehoh_best8_lambda with 180s (1) cores 62.26/8.36 # new_ho_10 with pid 31484 completed with status 0 62.26/8.36 # Result found by new_ho_10 62.26/8.36 # Preprocessing class: HSLSSMSMSSSNSFA. 62.26/8.36 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 62.26/8.36 # Starting new_ho_10 with 540s (3) cores 62.26/8.36 # No SInE strategy applied 62.26/8.36 # Search class: HGHSM-FFMM31-DSFFFFBN 62.26/8.36 # Scheduled 6 strats onto 3 cores with 540 seconds (540 total) 62.26/8.36 # Starting sh5 with 292s (1) cores 62.26/8.36 # Starting new_ho_10 with 55s (1) cores 62.26/8.36 # Starting new_ho_5 with 49s (1) cores 62.26/8.36 # new_ho_5 with pid 31496 completed with status 0 62.26/8.36 # Result found by new_ho_5 62.26/8.36 # Preprocessing class: HSLSSMSMSSSNSFA. 62.26/8.36 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 62.26/8.36 # Starting new_ho_10 with 540s (3) cores 62.26/8.36 # No SInE strategy applied 62.26/8.36 # Search class: HGHSM-FFMM31-DSFFFFBN 62.26/8.36 # Scheduled 6 strats onto 3 cores with 540 seconds (540 total) 62.26/8.36 # Starting sh5 with 292s (1) cores 62.26/8.36 # Starting new_ho_10 with 55s (1) cores 62.26/8.36 # Starting new_ho_5 with 49s (1) cores 62.26/8.36 # Preprocessing time : 0.002 s 62.26/8.36 # Presaturation interreduction done 62.26/8.36 62.26/8.36 # Proof found! 62.26/8.36 # SZS status Theorem 62.26/8.36 # SZS output start CNFRefutation 62.26/8.36 thf(decl_sort1, type, del: $tType). 62.26/8.36 thf(decl_sort2, type, tp__ty_2Enum_2Enum: $tType). 62.26/8.36 thf(decl_22, type, bool: del). 62.26/8.36 thf(decl_24, type, arr: del > del > del). 62.26/8.36 thf(decl_25, type, mem: $i > del > $o). 62.26/8.36 thf(decl_26, type, ap: $i > $i > $i). 62.26/8.36 thf(decl_28, type, p: $i > $o). 62.26/8.36 thf(decl_29, type, inj__o: $o > $i). 62.26/8.36 thf(decl_32, type, c_2Ebool_2EF: $i). 62.26/8.36 thf(decl_33, type, c_2Ebool_2ET: $i). 62.26/8.36 thf(decl_34, type, ty_2Efcp_2Ecart: del > del > del). 62.26/8.36 thf(decl_35, type, c_2Ewords_2Eword__sub: del > $i). 62.26/8.36 thf(decl_36, type, ty_2Enum_2Enum: del). 62.26/8.36 thf(decl_37, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 62.26/8.36 thf(decl_39, type, c_2Earithmetic_2E_2D: $i). 62.26/8.36 thf(decl_40, type, fo__c_2Earithmetic_2E_2D: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum). 62.26/8.36 thf(decl_41, type, c_2Earithmetic_2E_3C_3D: $i). 62.26/8.36 thf(decl_42, type, c_2Ebool_2ECOND: del > $i). 62.26/8.36 thf(decl_43, type, c_2Earithmetic_2E_2B: $i). 62.26/8.36 thf(decl_45, type, c_2Ewords_2En2w: del > $i). 62.26/8.36 thf(decl_46, type, c_2Ewords_2Eword__2comp: del > $i). 62.26/8.36 thf(decl_47, type, c_2Ewords_2Eword__add: del > $i). 62.26/8.36 thf(decl_54, type, esk4_0: del). 62.26/8.36 thf(decl_55, type, esk5_0: tp__ty_2Enum_2Enum). 62.26/8.36 thf(decl_56, type, esk6_0: tp__ty_2Enum_2Enum). 62.26/8.36 thf(ap_tp, axiom, ![X1:del, X2:del, X3:$i]:((![X4:$i]:(((mem @ (ap @ X3 @ X4) @ X2)<=(mem @ X4 @ X1)))<=(mem @ X3 @ (arr @ X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', ap_tp)). 62.26/8.36 thf(mem_c_2Earithmetic_2E_3C_3D, axiom, (mem @ c_2Earithmetic_2E_3C_3D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ bool))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', mem_c_2Earithmetic_2E_3C_3D)). 62.26/8.36 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X34:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X34) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', stp_inj_mem_ty_2Enum_2Enum)). 62.26/8.36 thf(stp_iso_mem_o, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((X4)=(inj__o @ ((p @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', stp_iso_mem_o)). 62.26/8.36 thf(conj_thm_2Ewords_2En2w__sub, conjecture, ![X13:del, X39:tp__ty_2Enum_2Enum, X40:tp__ty_2Enum_2Enum]:((((ap @ (c_2Ewords_2En2w @ X13) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X39)) @ (inj__ty_2Enum_2Enum @ X40)))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X13) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X39))) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X40))))<=(p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X40)) @ (inj__ty_2Enum_2Enum @ X39))))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', conj_thm_2Ewords_2En2w__sub)). 62.26/8.36 thf(mem_c_2Ewords_2En2w, axiom, ![X13:del]:((mem @ (c_2Ewords_2En2w @ X13) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X13)))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', mem_c_2Ewords_2En2w)). 62.26/8.36 thf(conj_thm_2Ebool_2Ebool__case__thm, axiom, ![X13:del]:((![X20:$i]:((![X21:$i]:(((mem @ X21 @ X13)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X13) @ c_2Ebool_2ET) @ X20) @ X21)=(X20))))<=(mem @ X20 @ X13)))&![X42:$i]:((![X43:$i]:(((mem @ X43 @ X13)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X13) @ c_2Ebool_2EF) @ X42) @ X43)=(X43))))<=(mem @ X42 @ X13))))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', conj_thm_2Ebool_2Ebool__case__thm)). 62.26/8.36 thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD, axiom, ![X13:del, X15:del]:((![X16:tp__ty_2Enum_2Enum, X17:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X13) @ (ap @ (c_2Ewords_2Eword__2comp @ X13) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X16)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X13) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X17))))=(ap @ (c_2Ewords_2Eword__2comp @ X13) @ (ap @ (c_2Ewords_2En2w @ X13) @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X16)) @ (inj__ty_2Enum_2Enum @ X17))))))&![X18:tp__ty_2Enum_2Enum, X19:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X15) @ (ap @ (c_2Ewords_2En2w @ X15) @ (inj__ty_2Enum_2Enum @ X18))) @ (ap @ (c_2Ewords_2Eword__2comp @ X15) @ (ap @ (c_2Ewords_2En2w @ X15) @ (inj__ty_2Enum_2Enum @ X19))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X15)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X19)) @ (inj__ty_2Enum_2Enum @ X18))) @ (ap @ (c_2Ewords_2En2w @ X15) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X18)) @ (inj__ty_2Enum_2Enum @ X19)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X15) @ (ap @ (c_2Ewords_2En2w @ X15) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X19)) @ (inj__ty_2Enum_2Enum @ X18))))))))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', conj_thm_2Ewords_2EWORD__LITERAL__ADD)). 62.26/8.36 thf(stp_eq_fo_c_2Earithmetic_2E_2D, axiom, ![X23:tp__ty_2Enum_2Enum, X24:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X23 @ X24))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X23)) @ (inj__ty_2Enum_2Enum @ X24)))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', stp_eq_fo_c_2Earithmetic_2E_2D)). 62.26/8.36 thf(mem_c_2Ewords_2Eword__2comp, axiom, ![X13:del]:((mem @ (c_2Ewords_2Eword__2comp @ X13) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X13) @ (ty_2Efcp_2Ecart @ bool @ X13)))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', mem_c_2Ewords_2Eword__2comp)). 62.26/8.36 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', mem_c_2Ebool_2ET)). 62.26/8.36 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', ax_true_p)). 62.26/8.36 thf(ax_thm_2Ewords_2Eword__sub__def, axiom, ![X13:del, X26:$i]:(((mem @ X26 @ (ty_2Efcp_2Ecart @ bool @ X13))=>![X27:$i]:(((mem @ X27 @ (ty_2Efcp_2Ecart @ bool @ X13))=>((ap @ (ap @ (c_2Ewords_2Eword__sub @ X13) @ X26) @ X27)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X13) @ X26) @ (ap @ (c_2Ewords_2Eword__2comp @ X13) @ X27))))))), file('/export/starexec/sandbox2/tmp/tmp.lTGc7g1TI4/E---3.1_31406.p', ax_thm_2Ewords_2Eword__sub__def)). 62.26/8.36 thf(c_0_13, plain, ![X1:del, X2:del, X3:$i]:(((mem @ X3 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X3 @ X4) @ X2))))), inference(fof_simplification,[status(thm)],[ap_tp])). 62.26/8.36 thf(c_0_14, plain, ![X126:del, X127:del, X128:$i, X129:$i]:((~(mem @ X128 @ (arr @ X126 @ X127))|(~(mem @ X129 @ X126)|(mem @ (ap @ X128 @ X129) @ X127)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])). 62.26/8.36 thf(c_0_15, plain, ![X2:del, X4:$i, X3:$i, X1:del]:(((mem @ (ap @ X3 @ X4) @ X2)|~((mem @ X3 @ (arr @ X1 @ X2)))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_14])). 62.26/8.36 thf(c_0_16, plain, (mem @ c_2Earithmetic_2E_3C_3D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2E_3C_3D])). 62.26/8.36 thf(c_0_17, plain, ![X182:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X182) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])). 62.26/8.36 thf(c_0_18, plain, ![X3:$i]:(((mem @ (ap @ c_2Earithmetic_2E_3C_3D @ X3) @ (arr @ ty_2Enum_2Enum @ bool))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 62.26/8.36 thf(c_0_19, plain, ![X12:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X12) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_17])). 62.26/8.36 thf(c_0_20, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 62.26/8.36 thf(c_0_21, plain, ![X12:tp__ty_2Enum_2Enum]:((mem @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ (arr @ ty_2Enum_2Enum @ bool))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 62.26/8.36 thf(c_0_22, plain, ![X130:$i]:(((~(p @ X130)|((X130)=(inj__o @ $true))|~(mem @ X130 @ bool))&((p @ X130)|((X130)=(inj__o @ $false))|~(mem @ X130 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])). 62.26/8.36 thf(c_0_23, plain, ![X12:tp__ty_2Enum_2Enum, X3:$i]:(((mem @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ X3) @ bool)|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_15, c_0_21])). 62.26/8.36 thf(c_0_24, negated_conjecture, ~(![X13:del, X39:tp__ty_2Enum_2Enum, X40:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X40)) @ (inj__ty_2Enum_2Enum @ X39)))=>((ap @ (c_2Ewords_2En2w @ X13) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X39)) @ (inj__ty_2Enum_2Enum @ X40)))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X13) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X39))) @ (ap @ (c_2Ewords_2En2w @ X13) @ (inj__ty_2Enum_2Enum @ X40))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Ewords_2En2w__sub])])). 62.26/8.36 thf(c_0_25, plain, ![X185:del]:((mem @ (c_2Ewords_2En2w @ X185) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X185)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w])). 62.26/8.36 thf(c_0_26, plain, ![X13:del]:((![X20:$i]:(((mem @ X20 @ X13)=>![X21:$i]:(((mem @ X21 @ X13)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X13) @ c_2Ebool_2ET) @ X20) @ X21)=(X20))))))&![X42:$i]:(((mem @ X42 @ X13)=>![X43:$i]:(((mem @ X43 @ X13)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X13) @ c_2Ebool_2EF) @ X42) @ X43)=(X43)))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2Ebool__case__thm])). 62.26/8.36 thf(c_0_27, plain, ![X154:del, X155:del, X156:tp__ty_2Enum_2Enum, X157:tp__ty_2Enum_2Enum, X158:tp__ty_2Enum_2Enum, X159:tp__ty_2Enum_2Enum]:((((ap @ (ap @ (c_2Ewords_2Eword__add @ X154) @ (ap @ (c_2Ewords_2Eword__2comp @ X154) @ (ap @ (c_2Ewords_2En2w @ X154) @ (inj__ty_2Enum_2Enum @ X156)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X154) @ (ap @ (c_2Ewords_2En2w @ X154) @ (inj__ty_2Enum_2Enum @ X157))))=(ap @ (c_2Ewords_2Eword__2comp @ X154) @ (ap @ (c_2Ewords_2En2w @ X154) @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X156)) @ (inj__ty_2Enum_2Enum @ X157)))))&((ap @ (ap @ (c_2Ewords_2Eword__add @ X155) @ (ap @ (c_2Ewords_2En2w @ X155) @ (inj__ty_2Enum_2Enum @ X158))) @ (ap @ (c_2Ewords_2Eword__2comp @ X155) @ (ap @ (c_2Ewords_2En2w @ X155) @ (inj__ty_2Enum_2Enum @ X159))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X155)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X159)) @ (inj__ty_2Enum_2Enum @ X158))) @ (ap @ (c_2Ewords_2En2w @ X155) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X158)) @ (inj__ty_2Enum_2Enum @ X159)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X155) @ (ap @ (c_2Ewords_2En2w @ X155) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X159)) @ (inj__ty_2Enum_2Enum @ X158)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[conj_thm_2Ewords_2EWORD__LITERAL__ADD])])). 62.26/8.36 thf(c_0_28, plain, ![X183:tp__ty_2Enum_2Enum, X184:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X183 @ X184))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X183)) @ (inj__ty_2Enum_2Enum @ X184)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2E_2D])). 62.26/8.36 thf(c_0_29, plain, ![X3:$i]:((((X3)=(inj__o @ (($true))))|~((p @ X3))|~((mem @ X3 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_22])). 62.26/8.36 thf(c_0_30, plain, ![X12:tp__ty_2Enum_2Enum, X16:tp__ty_2Enum_2Enum]:((mem @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16)) @ bool)), inference(spm,[status(thm)],[c_0_23, c_0_19])). 62.26/8.36 thf(c_0_31, negated_conjecture, ((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk6_0)) @ (inj__ty_2Enum_2Enum @ esk5_0)))&((ap @ (c_2Ewords_2En2w @ esk4_0) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ esk5_0)) @ (inj__ty_2Enum_2Enum @ esk6_0)))!=(ap @ (ap @ (c_2Ewords_2Eword__sub @ esk4_0) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk6_0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])). 62.26/8.36 thf(c_0_32, plain, ![X164:del]:((mem @ (c_2Ewords_2Eword__2comp @ X164) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X164) @ (ty_2Efcp_2Ecart @ bool @ X164)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2Eword__2comp])). 62.26/8.36 thf(c_0_33, plain, ![X1:del]:((mem @ (c_2Ewords_2En2w @ X1) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X1)))), inference(split_conjunct,[status(thm)],[c_0_25])). 62.26/8.36 thf(c_0_34, plain, ![X203:del, X204:$i, X205:$i, X206:$i, X207:$i]:(((~(mem @ X204 @ X203)|(~(mem @ X205 @ X203)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X203) @ c_2Ebool_2ET) @ X204) @ X205)=(X204))))&(~(mem @ X206 @ X203)|(~(mem @ X207 @ X203)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X203) @ c_2Ebool_2EF) @ X206) @ X207)=(X207)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])). 62.26/8.36 thf(c_0_35, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 62.26/8.36 thf(c_0_36, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 62.26/8.36 thf(c_0_37, plain, ![X1:del, X16:tp__ty_2Enum_2Enum, X12:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X12))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X16))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X16)) @ (inj__ty_2Enum_2Enum @ X12))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X16)) @ (inj__ty_2Enum_2Enum @ X12))))))), inference(split_conjunct,[status(thm)],[c_0_27])). 62.26/8.36 thf(c_0_38, plain, ![X12:tp__ty_2Enum_2Enum, X16:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X12 @ X16))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16)))), inference(split_conjunct,[status(thm)],[c_0_28])). 62.26/8.36 thf(c_0_39, plain, ![X12:tp__ty_2Enum_2Enum, X16:tp__ty_2Enum_2Enum]:((((ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16))=(inj__o @ (($true))))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16)))))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 62.26/8.36 thf(c_0_40, negated_conjecture, (p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk6_0)) @ (inj__ty_2Enum_2Enum @ esk5_0))), inference(split_conjunct,[status(thm)],[c_0_31])). 62.26/8.36 thf(c_0_41, plain, ![X1:del]:((mem @ (c_2Ewords_2Eword__2comp @ X1) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X1) @ (ty_2Efcp_2Ecart @ bool @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 62.26/8.36 thf(c_0_42, plain, ![X1:del, X3:$i]:(((mem @ (ap @ (c_2Ewords_2En2w @ X1) @ X3) @ (ty_2Efcp_2Ecart @ bool @ X1))|~((mem @ X3 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_15, c_0_33])). 62.26/8.36 thf(c_0_43, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X3) @ X4)=(X3))|~((mem @ X3 @ X1))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_34])). 62.26/8.36 thf(c_0_44, plain, ((c_2Ebool_2ET)=(inj__o @ (($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_35]), c_0_36])])). 62.26/8.36 thf(c_0_45, plain, ![X1:del, X16:tp__ty_2Enum_2Enum, X12:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X12)) @ (inj__ty_2Enum_2Enum @ X16))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X16 @ X12)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X12 @ X16)))))=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X16))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X12)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_38])). 62.26/8.36 thf(c_0_46, negated_conjecture, ((ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk6_0)) @ (inj__ty_2Enum_2Enum @ esk5_0))=(inj__o @ (($true)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 62.26/8.36 thf(c_0_47, plain, ![X3:$i, X1:del]:(((mem @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ X3) @ (ty_2Efcp_2Ecart @ bool @ X1))|~((mem @ X3 @ (ty_2Efcp_2Ecart @ bool @ X1))))), inference(spm,[status(thm)],[c_0_15, c_0_41])). 62.26/8.36 thf(c_0_48, plain, ![X12:tp__ty_2Enum_2Enum, X1:del]:((mem @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X12)) @ (ty_2Efcp_2Ecart @ bool @ X1))), inference(spm,[status(thm)],[c_0_42, c_0_19])). 62.26/8.36 thf(c_0_49, plain, ![X172:del, X173:$i, X174:$i]:((~(mem @ X173 @ (ty_2Efcp_2Ecart @ bool @ X172))|(~(mem @ X174 @ (ty_2Efcp_2Ecart @ bool @ X172))|((ap @ (ap @ (c_2Ewords_2Eword__sub @ X172) @ X173) @ X174)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X172) @ X173) @ (ap @ (c_2Ewords_2Eword__2comp @ X172) @ X174)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Ewords_2Eword__sub__def])])])])). 62.26/8.36 thf(c_0_50, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ (inj__o @ (($true)))) @ X3) @ X4)=(X3))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(rw,[status(thm)],[c_0_43, c_0_44])). 62.26/8.36 thf(c_0_51, negated_conjecture, ![X1:del]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (inj__o @ (($true)))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk5_0 @ esk6_0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk6_0 @ esk5_0)))))=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk6_0)))))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 62.26/8.36 thf(c_0_52, plain, ![X12:tp__ty_2Enum_2Enum, X1:del]:((mem @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X12))) @ (ty_2Efcp_2Ecart @ bool @ X1))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 62.26/8.36 thf(c_0_53, negated_conjecture, ((ap @ (c_2Ewords_2En2w @ esk4_0) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ esk5_0)) @ (inj__ty_2Enum_2Enum @ esk6_0)))!=(ap @ (ap @ (c_2Ewords_2Eword__sub @ esk4_0) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 62.26/8.36 thf(c_0_54, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ X3) @ X4)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ X3) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ X4)))|~((mem @ X3 @ (ty_2Efcp_2Ecart @ bool @ X1)))|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X1))))), inference(split_conjunct,[status(thm)],[c_0_49])). 62.26/8.36 thf(c_0_55, negated_conjecture, ![X1:del]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk6_0))))=(ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk5_0 @ esk6_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_48])])). 62.26/8.36 thf(c_0_56, negated_conjecture, ((ap @ (ap @ (c_2Ewords_2Eword__sub @ esk4_0) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ esk6_0)))!=(ap @ (c_2Ewords_2En2w @ esk4_0) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk5_0 @ esk6_0)))), inference(rw,[status(thm)],[c_0_53, c_0_38])). 62.26/8.36 thf(c_0_57, negated_conjecture, ![X1:del]:(((ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk5_0))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk6_0)))=(ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk5_0 @ esk6_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_48]), c_0_48])])). 62.26/8.36 thf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])]), ['proof']). 62.26/8.36 # SZS output end CNFRefutation 62.26/8.36 # Parsed axioms : 77 62.26/8.36 # Removed by relevancy pruning/SinE : 0 62.26/8.36 # Initial clauses : 156 62.26/8.36 # Removed in clause preprocessing : 99 62.26/8.36 # Initial clauses in saturation : 57 62.26/8.36 # Processed clauses : 16604 62.26/8.36 # ...of these trivial : 110 62.26/8.36 # ...subsumed : 12765 62.26/8.36 # ...remaining for further processing : 3729 62.26/8.36 # Other redundant clauses eliminated : 26 62.26/8.36 # Clauses deleted for lack of memory : 0 62.26/8.36 # Backward-subsumed : 102 62.26/8.36 # Backward-rewritten : 141 62.26/8.36 # Generated clauses : 294457 62.26/8.36 # ...of the previous two non-redundant : 271038 62.26/8.36 # ...aggressively subsumed : 0 62.26/8.36 # Contextual simplify-reflections : 1 62.26/8.36 # Paramodulations : 293720 62.26/8.36 # Factorizations : 680 62.26/8.36 # NegExts : 0 62.26/8.36 # Equation resolutions : 58 62.26/8.36 # Disequality decompositions : 0 62.26/8.36 # Total rewrite steps : 84113 62.26/8.36 # ...of those cached : 82499 62.26/8.36 # Propositional unsat checks : 0 62.26/8.36 # Propositional check models : 0 62.26/8.36 # Propositional check unsatisfiable : 0 62.26/8.36 # Propositional clauses : 0 62.26/8.36 # Propositional clauses after purity: 0 62.26/8.36 # Propositional unsat core size : 0 62.26/8.36 # Propositional preprocessing time : 0.000 62.26/8.36 # Propositional encoding time : 0.000 62.26/8.36 # Propositional solver time : 0.000 62.26/8.36 # Success case prop preproc time : 0.000 62.26/8.36 # Success case prop encoding time : 0.000 62.26/8.36 # Success case prop solver time : 0.000 62.26/8.36 # Current number of processed clauses : 3423 62.26/8.36 # Positive orientable unit clauses : 518 62.26/8.36 # Positive unorientable unit clauses: 0 62.26/8.36 # Negative unit clauses : 397 62.26/8.36 # Non-unit-clauses : 2508 62.26/8.36 # Current number of unprocessed clauses: 251883 62.26/8.36 # ...number of literals in the above : 873685 62.26/8.36 # Current number of archived formulas : 0 62.26/8.36 # Current number of archived clauses : 301 62.26/8.36 # Clause-clause subsumption calls (NU) : 403360 62.26/8.36 # Rec. Clause-clause subsumption calls : 323810 62.26/8.36 # Non-unit clause-clause subsumptions : 4868 62.26/8.36 # Unit Clause-clause subsumption calls : 96455 62.26/8.36 # Rewrite failures with RHS unbound : 0 62.26/8.36 # BW rewrite match attempts : 18532 62.26/8.36 # BW rewrite match successes : 83 62.26/8.36 # Condensation attempts : 0 62.26/8.36 # Condensation successes : 0 62.26/8.36 # Termbank termtop insertions : 8400810 62.26/8.36 # Search garbage collected termcells : 2407 62.26/8.36 62.26/8.36 # ------------------------------------------------- 62.26/8.36 # User time : 7.326 s 62.26/8.36 # System time : 0.265 s 62.26/8.36 # Total time : 7.591 s 62.26/8.36 # Maximum resident set size: 2280 pages 62.26/8.36 62.26/8.36 # ------------------------------------------------- 62.26/8.36 # User time : 22.360 s 62.26/8.36 # System time : 0.632 s 62.26/8.36 # Total time : 22.992 s 62.26/8.36 # Maximum resident set size: 1824 pages 62.26/8.36 % E---3.1 exiting 62.26/8.36 % E exiting 62.26/8.36 EOF