2.48/2.51 % Problem : Vampire---4.8_26562 : TPTP v0.0.0. Released v0.0.0. 2.48/2.52 % Command : run_E %s %d THM 2.51/2.73 % Computer : n008.cluster.edu 2.51/2.73 % Model : x86_64 x86_64 2.51/2.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 2.51/2.73 % Memory : 8042.1875MB 2.51/2.73 % OS : Linux 3.10.0-693.el7.x86_64 2.51/2.73 % CPULimit : 1440 2.51/2.73 % WCLimit : 180 2.51/2.73 % DateTime : Mon Jul 3 12:56:08 EDT 2023 2.51/2.73 % CPUTime : 7.21/7.40 Running higher-order theorem provingRunning: /export/starexec/sandbox/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/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562 7.21/7.40 # Version: 3.1pre001-ho 54.38/15.07 # Preprocessing class: HMLLSMLLSSLNSFA. 54.38/15.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 54.38/15.07 # Starting new_bool_8 with 716s (4) cores 54.38/15.07 # Starting post_as_ho5 with 358s (2) cores 54.38/15.07 # Starting new_bool_9 with 179s (1) cores 54.38/15.07 # Starting new_bool_3 with 179s (1) cores 54.38/15.07 # post_as_ho5 with pid 26746 completed with status 0 54.38/15.07 # Result found by post_as_ho5 54.38/15.07 # Preprocessing class: HMLLSMLLSSLNSFA. 54.38/15.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 54.38/15.07 # Starting new_bool_8 with 716s (4) cores 54.38/15.07 # Starting post_as_ho5 with 358s (2) cores 54.38/15.07 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 54.38/15.07 # Search class: HGHSM-SMLM32-DSFFFFNN 54.38/15.07 # partial match(1): HGHSM-SMLM32-DSFFFFBN 54.38/15.07 # Scheduled 6 strats onto 2 cores with 358 seconds (358 total) 54.38/15.07 # Starting post_as_ho7 with 194s (1) cores 54.38/15.07 # Starting post_as_ho5 with 36s (1) cores 54.38/15.07 # post_as_ho5 with pid 26751 completed with status 0 54.38/15.07 # Result found by post_as_ho5 54.38/15.07 # Preprocessing class: HMLLSMLLSSLNSFA. 54.38/15.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 54.38/15.07 # Starting new_bool_8 with 716s (4) cores 54.38/15.07 # Starting post_as_ho5 with 358s (2) cores 54.38/15.07 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 54.38/15.07 # Search class: HGHSM-SMLM32-DSFFFFNN 54.38/15.07 # partial match(1): HGHSM-SMLM32-DSFFFFBN 54.38/15.07 # Scheduled 6 strats onto 2 cores with 358 seconds (358 total) 54.38/15.07 # Starting post_as_ho7 with 194s (1) cores 54.38/15.07 # Starting post_as_ho5 with 36s (1) cores 54.38/15.07 # Preprocessing time : 0.077 s 54.38/15.07 # Presaturation interreduction done 54.38/15.07 54.38/15.07 # Proof found! 54.38/15.07 # SZS status Theorem 54.38/15.07 # SZS output start CNFRefutation 54.38/15.07 thf(decl_22, type, bool: del). 54.38/15.07 thf(decl_24, type, arr: del > del > del). 54.38/15.07 thf(decl_25, type, mem: $i > del > $o). 54.38/15.07 thf(decl_26, type, ap: $i > $i > $i). 54.38/15.07 thf(decl_28, type, p: $i > $o). 54.38/15.07 thf(decl_86, type, ty_2Enum_2Enum: del). 54.38/15.07 thf(decl_87, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 54.38/15.07 thf(decl_88, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum). 54.38/15.07 thf(decl_90, type, fo__c_2Enum_2E0: tp__ty_2Enum_2Enum). 54.38/15.07 thf(decl_239, type, c_2Earithmetic_2E_2D: $i). 54.38/15.07 thf(decl_241, type, c_2Earithmetic_2E_3C_3D: $i). 54.38/15.07 thf(decl_277, type, fo__c_2Earithmetic_2EZERO: tp__ty_2Enum_2Enum). 54.38/15.07 thf(decl_845, type, ty_2Efcp_2Ecart: del > del > del). 54.38/15.07 thf(decl_1313, type, ty_2Einteger_2Eint: del). 54.38/15.07 thf(decl_1314, type, inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i). 54.38/15.07 thf(decl_1315, type, surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint). 54.38/15.07 thf(decl_1351, type, c_2Einteger_2Eint__of__num: $i). 54.38/15.07 thf(decl_1409, type, c_2Ewords_2En2w: del > $i). 54.38/15.07 thf(decl_2010, type, c_2Einteger__word_2Ei2w: del > $i). 54.38/15.07 thf(decl_2019, type, c_2Einteger__word_2Ew2i: del > $i). 54.38/15.07 thf(decl_2032, type, esk1_0: del). 54.38/15.07 thf(stp_iso_mem_ty_2Enum_2Enum, axiom, ![X154:$i]:((((X154)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X154)))<=(mem @ X154 @ ty_2Enum_2Enum))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', stp_iso_mem_ty_2Enum_2Enum)). 54.38/15.07 thf(conj_thm_2Earithmetic_2ESUB__0, axiom, ![X149:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (inj__ty_2Enum_2Enum @ X149)))=(fo__c_2Enum_2E0))&((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X149)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X149)))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Earithmetic_2ESUB__0)). 54.38/15.07 thf(ap_tp, axiom, ![X2:del, X5:del, X6:$i]:(((mem @ X6 @ (arr @ X2 @ X5))=>![X7:$i]:(((mem @ X7 @ X2)=>(mem @ (ap @ X6 @ X7) @ X5))))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', ap_tp)). 54.38/15.07 thf(ax_thm_2Earithmetic_2EALT__ZERO, axiom, ((fo__c_2Earithmetic_2EZERO)=(fo__c_2Enum_2E0)), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', ax_thm_2Earithmetic_2EALT__ZERO)). 54.38/15.07 thf(mem_c_2Earithmetic_2E_2D, axiom, (mem @ c_2Earithmetic_2E_2D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', mem_c_2Earithmetic_2E_2D)). 54.38/15.07 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X152:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X152) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', stp_inj_mem_ty_2Enum_2Enum)). 54.38/15.07 thf(conj_thm_2Ewords_2En2w__sub__eq__0, axiom, ![X17:del, X18043:tp__ty_2Enum_2Enum, X18044:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X18043)) @ (inj__ty_2Enum_2Enum @ X18044)))=>((ap @ (c_2Ewords_2En2w @ X17) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X18043)) @ (inj__ty_2Enum_2Enum @ X18044)))=(ap @ (c_2Ewords_2En2w @ X17) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Ewords_2En2w__sub__eq__0)). 54.38/15.07 thf(conj_thm_2Earithmetic_2ESUB__EQ__0, axiom, ![X149:tp__ty_2Enum_2Enum, X150:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X149)) @ (inj__ty_2Enum_2Enum @ X150)))=(fo__c_2Enum_2E0))<=>(p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X149)) @ (inj__ty_2Enum_2Enum @ X150))))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Earithmetic_2ESUB__EQ__0)). 54.38/15.07 thf(mem_c_2Ewords_2En2w, axiom, ![X17:del]:((mem @ (c_2Ewords_2En2w @ X17) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X17)))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', mem_c_2Ewords_2En2w)). 54.38/15.07 thf(conj_thm_2Einteger__word_2Eword__0__w2i, axiom, ![X17:del]:(((surj__ty_2Einteger_2Eint @ (ap @ (c_2Einteger__word_2Ew2i @ X17) @ (ap @ (c_2Ewords_2En2w @ X17) @ (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/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Einteger__word_2Eword__0__w2i)). 54.38/15.07 thf(stp_iso_mem_ty_2Einteger_2Eint, axiom, ![X17704:$i]:(((mem @ X17704 @ ty_2Einteger_2Eint)=>((X17704)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X17704))))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', stp_iso_mem_ty_2Einteger_2Eint)). 54.38/15.07 thf(mem_c_2Einteger__word_2Ew2i, axiom, ![X17:del]:((mem @ (c_2Einteger__word_2Ew2i @ X17) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X17) @ ty_2Einteger_2Eint))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', mem_c_2Einteger__word_2Ew2i)). 54.38/15.07 thf(stp_inj_surj_ty_2Enum_2Enum, axiom, ![X147:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X147))=(X147))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', stp_inj_surj_ty_2Enum_2Enum)). 54.38/15.07 thf(conj_thm_2Einteger__word_2Ei2w__w2i, axiom, ![X17:del, X14703:$i]:((((ap @ (c_2Einteger__word_2Ei2w @ X17) @ (ap @ (c_2Einteger__word_2Ew2i @ X17) @ X14703))=(X14703))<=(mem @ X14703 @ (ty_2Efcp_2Ecart @ bool @ X17)))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Einteger__word_2Ei2w__w2i)). 54.38/15.07 thf(conj_thm_2Einteger__word_2Ei2w__0, conjecture, ![X17:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X17) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X17) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', conj_thm_2Einteger__word_2Ei2w__0)). 54.38/15.07 thf(mem_c_2Einteger_2Eint__of__num, axiom, (mem @ c_2Einteger_2Eint__of__num @ (arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint)), file('/export/starexec/sandbox/tmp/tmp.r7KlNvT02M/Vampire---4.8_26562', mem_c_2Einteger_2Eint__of__num)). 54.38/15.07 thf(c_0_16, plain, ![X154:$i]:(((mem @ X154 @ ty_2Enum_2Enum)=>((X154)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X154))))), inference(fof_simplification,[status(thm)],[stp_iso_mem_ty_2Enum_2Enum])). 54.38/15.07 thf(c_0_17, plain, ![X23758:tp__ty_2Enum_2Enum]:((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) @ (inj__ty_2Enum_2Enum @ X23758)))=(fo__c_2Enum_2E0))&((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X23758)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X23758)))), inference(variable_rename,[status(thm)],[conj_thm_2Earithmetic_2ESUB__0])). 54.38/15.07 thf(c_0_18, plain, ![X23887:del, X23888:del, X23889:$i, X23890:$i]:((~(mem @ X23889 @ (arr @ X23887 @ X23888))|(~(mem @ X23890 @ X23887)|(mem @ (ap @ X23889 @ X23890) @ X23888)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 54.38/15.07 thf(c_0_19, plain, ![X23047:$i]:((~(mem @ X23047 @ ty_2Enum_2Enum)|((X23047)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X23047))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])). 54.38/15.07 thf(c_0_20, plain, ![X147:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(X147))), inference(split_conjunct,[status(thm)],[c_0_17])). 54.38/15.07 thf(c_0_21, plain, ((fo__c_2Earithmetic_2EZERO)=(fo__c_2Enum_2E0)), inference(split_conjunct,[status(thm)],[ax_thm_2Earithmetic_2EALT__ZERO])). 54.38/15.07 thf(c_0_22, plain, ![X4:$i, X6:$i, X5:del, X2:del]:(((mem @ (ap @ X4 @ X6) @ X5)|~((mem @ X4 @ (arr @ X2 @ X5)))|~((mem @ X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_18])). 54.38/15.07 thf(c_0_23, plain, (mem @ c_2Earithmetic_2E_2D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum))), inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2E_2D])). 54.38/15.07 thf(c_0_24, plain, ![X4:$i]:((((X4)=(inj__ty_2Enum_2Enum @ (surj__ty_2Enum_2Enum @ X4)))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(split_conjunct,[status(thm)],[c_0_19])). 54.38/15.07 thf(c_0_25, plain, ![X147:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))=(X147))), inference(rw,[status(thm)],[c_0_20, c_0_21])). 54.38/15.07 thf(c_0_26, plain, ![X4:$i]:(((mem @ (ap @ c_2Earithmetic_2E_2D @ X4) @ (arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 54.38/15.07 thf(c_0_27, plain, ![X23951:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X23951) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])). 54.38/15.07 thf(c_0_28, plain, ![X23000:del, X23001:tp__ty_2Enum_2Enum, X23002:tp__ty_2Enum_2Enum]:((~(p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X23001)) @ (inj__ty_2Enum_2Enum @ X23002)))|((ap @ (c_2Ewords_2En2w @ X23000) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X23001)) @ (inj__ty_2Enum_2Enum @ X23002)))=(ap @ (c_2Ewords_2En2w @ X23000) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ewords_2En2w__sub__eq__0])])). 54.38/15.07 thf(c_0_29, plain, ![X147:tp__ty_2Enum_2Enum]:((((ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))=(inj__ty_2Enum_2Enum @ X147))|~((mem @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)) @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 54.38/15.07 thf(c_0_30, plain, ![X6:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Earithmetic_2E_2D @ X4) @ X6) @ ty_2Enum_2Enum)|~((mem @ X6 @ ty_2Enum_2Enum))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_22, c_0_26])). 54.38/15.07 thf(c_0_31, plain, ![X147:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X147) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_27])). 54.38/15.07 thf(c_0_32, plain, ![X23674:tp__ty_2Enum_2Enum, X23675:tp__ty_2Enum_2Enum]:(((((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X23674)) @ (inj__ty_2Enum_2Enum @ X23675)))!=(fo__c_2Enum_2E0))|(p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X23674)) @ (inj__ty_2Enum_2Enum @ X23675))))&(~(p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X23674)) @ (inj__ty_2Enum_2Enum @ X23675)))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X23674)) @ (inj__ty_2Enum_2Enum @ X23675)))=(fo__c_2Enum_2E0))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2ESUB__EQ__0])])). 54.38/15.07 thf(c_0_33, plain, ![X2:del, X147:tp__ty_2Enum_2Enum, X148:tp__ty_2Enum_2Enum]:((((ap @ (c_2Ewords_2En2w @ X2) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))))), inference(split_conjunct,[status(thm)],[c_0_28])). 54.38/15.07 thf(c_0_34, plain, ![X147:tp__ty_2Enum_2Enum]:(((ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))=(inj__ty_2Enum_2Enum @ X147))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_31])])). 54.38/15.07 thf(c_0_35, plain, ![X147:tp__ty_2Enum_2Enum, X148:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))!=(fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_32])). 54.38/15.07 thf(c_0_36, plain, ![X2:del, X147:tp__ty_2Enum_2Enum, X148:tp__ty_2Enum_2Enum]:((((ap @ (c_2Ewords_2En2w @ X2) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))))), inference(rw,[status(thm)],[c_0_33, c_0_21])). 54.38/15.07 thf(c_0_37, plain, ![X4:$i]:((((ap @ (ap @ c_2Earithmetic_2E_2D @ X4) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))=(X4))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_34, c_0_24])). 54.38/15.07 thf(c_0_38, plain, ![X147:tp__ty_2Enum_2Enum, X148:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ X148)))!=(fo__c_2Earithmetic_2EZERO)))), inference(rw,[status(thm)],[c_0_35, c_0_21])). 54.38/15.07 thf(c_0_39, plain, ![X23006:del]:((mem @ (c_2Ewords_2En2w @ X23006) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X23006)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w])). 54.38/15.07 thf(c_0_40, plain, ![X2:del, X147:tp__ty_2Enum_2Enum]:((((ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ X147))=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X147)) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_31])])). 54.38/15.07 thf(c_0_41, plain, ![X147:tp__ty_2Enum_2Enum, X4:$i]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ X4) @ (inj__ty_2Enum_2Enum @ X147)))|((surj__ty_2Enum_2Enum @ (ap @ (ap @ c_2Earithmetic_2E_2D @ X4) @ (inj__ty_2Enum_2Enum @ X147)))!=(fo__c_2Earithmetic_2EZERO))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_38, c_0_24])). 54.38/15.07 thf(c_0_42, plain, ![X24268:del]:(((surj__ty_2Einteger_2Eint @ (ap @ (c_2Einteger__word_2Ew2i @ X24268) @ (ap @ (c_2Ewords_2En2w @ X24268) @ (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(variable_rename,[status(thm)],[conj_thm_2Einteger__word_2Eword__0__w2i])). 54.38/15.07 thf(c_0_43, plain, ![X2:del]:((mem @ (c_2Ewords_2En2w @ X2) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X2)))), inference(split_conjunct,[status(thm)],[c_0_39])). 54.38/15.07 thf(c_0_44, plain, ![X2:del, X4:$i]:((((ap @ (c_2Ewords_2En2w @ X2) @ X4)=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ X4) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_40, c_0_24])). 54.38/15.07 thf(c_0_45, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ X4) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|((surj__ty_2Enum_2Enum @ X4)!=(fo__c_2Earithmetic_2EZERO))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_41, c_0_37])). 54.38/15.07 thf(c_0_46, plain, ![X24811:$i]:((~(mem @ X24811 @ ty_2Einteger_2Eint)|((X24811)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X24811))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])])). 54.38/15.07 thf(c_0_47, plain, ![X2:del]:(((surj__ty_2Einteger_2Eint @ (ap @ (c_2Einteger__word_2Ew2i @ X2) @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(split_conjunct,[status(thm)],[c_0_42])). 54.38/15.07 thf(c_0_48, plain, ![X24283:del]:((mem @ (c_2Einteger__word_2Ew2i @ X24283) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X24283) @ ty_2Einteger_2Eint))), inference(variable_rename,[status(thm)],[mem_c_2Einteger__word_2Ew2i])). 54.38/15.07 thf(c_0_49, plain, ![X2:del, X4:$i]:(((mem @ (ap @ (c_2Ewords_2En2w @ X2) @ X4) @ (ty_2Efcp_2Ecart @ bool @ X2))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_22, c_0_43])). 54.38/15.07 thf(c_0_50, plain, ![X2:del, X4:$i]:((((ap @ (c_2Ewords_2En2w @ X2) @ X4)=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|((surj__ty_2Enum_2Enum @ X4)!=(fo__c_2Earithmetic_2EZERO))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 54.38/15.07 thf(c_0_51, plain, ![X23046:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X23046))=(X23046))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Enum_2Enum])). 54.38/15.07 thf(c_0_52, plain, ![X17:del, X14703:$i]:(((mem @ X14703 @ (ty_2Efcp_2Ecart @ bool @ X17))=>((ap @ (c_2Einteger__word_2Ei2w @ X17) @ (ap @ (c_2Einteger__word_2Ew2i @ X17) @ X14703))=(X14703)))), inference(fof_simplification,[status(thm)],[conj_thm_2Einteger__word_2Ei2w__w2i])). 54.38/15.07 thf(c_0_53, plain, ![X4:$i]:((((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(split_conjunct,[status(thm)],[c_0_46])). 54.38/15.07 thf(c_0_54, plain, ![X2:del]:(((surj__ty_2Einteger_2Eint @ (ap @ (c_2Einteger__word_2Ew2i @ X2) @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_21]), c_0_21])). 54.38/15.07 thf(c_0_55, plain, ![X2:del]:((mem @ (c_2Einteger__word_2Ew2i @ X2) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X2) @ ty_2Einteger_2Eint))), inference(split_conjunct,[status(thm)],[c_0_48])). 54.38/15.07 thf(c_0_56, plain, ![X2:del, X4:$i]:(((mem @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)) @ (ty_2Efcp_2Ecart @ bool @ X2))|((surj__ty_2Enum_2Enum @ X4)!=(fo__c_2Earithmetic_2EZERO))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 54.38/15.07 thf(c_0_57, plain, ![X147:tp__ty_2Enum_2Enum]:(((surj__ty_2Enum_2Enum @ (inj__ty_2Enum_2Enum @ X147))=(X147))), inference(split_conjunct,[status(thm)],[c_0_51])). 54.38/15.07 thf(c_0_58, negated_conjecture, ~(![X17:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X17) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))=(ap @ (c_2Ewords_2En2w @ X17) @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0])). 54.38/15.07 thf(c_0_59, plain, ![X23015:del, X23016:$i]:((~(mem @ X23016 @ (ty_2Efcp_2Ecart @ bool @ X23015))|((ap @ (c_2Einteger__word_2Ei2w @ X23015) @ (ap @ (c_2Einteger__word_2Ew2i @ X23015) @ X23016))=(X23016)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])). 54.38/15.07 thf(c_0_60, plain, ![X2:del]:((((ap @ (c_2Einteger__word_2Ew2i @ X2) @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))|~((mem @ (ap @ (c_2Einteger__word_2Ew2i @ X2) @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 54.38/15.07 thf(c_0_61, plain, ![X4:$i, X2:del]:(((mem @ (ap @ (c_2Einteger__word_2Ew2i @ X2) @ X4) @ ty_2Einteger_2Eint)|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2))))), inference(spm,[status(thm)],[c_0_22, c_0_55])). 54.38/15.07 thf(c_0_62, plain, ![X2:del]:((mem @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)) @ (ty_2Efcp_2Ecart @ bool @ X2))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_31])])])). 54.38/15.07 thf(c_0_63, 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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])). 54.38/15.07 thf(c_0_64, plain, ![X4:$i, X2:del]:((((ap @ (c_2Einteger__word_2Ei2w @ X2) @ (ap @ (c_2Einteger__word_2Ew2i @ X2) @ X4))=(X4))|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X2))))), inference(split_conjunct,[status(thm)],[c_0_59])). 54.38/15.07 thf(c_0_65, plain, ![X2:del]:(((ap @ (c_2Einteger__word_2Ew2i @ X2) @ (ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])])). 54.38/15.07 thf(c_0_66, 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_63])). 54.38/15.07 thf(c_0_67, plain, ![X2:del]:(((ap @ (c_2Einteger__word_2Ei2w @ X2) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))))=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_62])])). 54.38/15.07 thf(c_0_68, negated_conjecture, ((ap @ (c_2Einteger__word_2Ei2w @ esk1_0) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))!=(ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_21]), c_0_21])). 54.38/15.07 thf(c_0_69, plain, ![X2:del]:((((ap @ (c_2Einteger__word_2Ei2w @ X2) @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))=(ap @ (c_2Ewords_2En2w @ X2) @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)))|~((mem @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_67, c_0_53])). 54.38/15.07 thf(c_0_70, plain, (mem @ c_2Einteger_2Eint__of__num @ (arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__of__num])). 54.38/15.07 thf(c_0_71, negated_conjecture, ~((mem @ (ap @ c_2Einteger_2Eint__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO)) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_68, c_0_69])). 54.38/15.07 thf(c_0_72, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__of__num @ X4) @ ty_2Einteger_2Eint)|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_22, c_0_70])). 54.38/15.07 thf(c_0_73, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_31])]), ['proof']). 54.38/15.07 # SZS output end CNFRefutation 54.38/15.07 # Parsed axioms : 13423 54.38/15.07 # Removed by relevancy pruning/SinE : 12713 54.38/15.07 # Initial clauses : 2308 54.38/15.07 # Removed in clause preprocessing : 911 54.38/15.07 # Initial clauses in saturation : 1397 54.38/15.07 # Processed clauses : 11835 54.38/15.07 # ...of these trivial : 117 54.38/15.07 # ...subsumed : 7077 54.38/15.07 # ...remaining for further processing : 4641 54.38/15.07 # Other redundant clauses eliminated : 1860 54.38/15.07 # Clauses deleted for lack of memory : 0 54.38/15.07 # Backward-subsumed : 128 54.38/15.07 # Backward-rewritten : 107 54.38/15.07 # Generated clauses : 137348 54.38/15.07 # ...of the previous two non-redundant : 129940 54.38/15.07 # ...aggressively subsumed : 0 54.38/15.07 # Contextual simplify-reflections : 47 54.38/15.07 # Paramodulations : 135358 54.38/15.07 # Factorizations : 6 54.38/15.07 # NegExts : 0 54.38/15.07 # Equation resolutions : 1888 54.38/15.07 # Total rewrite steps : 21163 54.38/15.07 # Propositional unsat checks : 2 54.38/15.07 # Propositional check models : 1 54.38/15.07 # Propositional check unsatisfiable : 0 54.38/15.07 # Propositional clauses : 0 54.38/15.07 # Propositional clauses after purity: 0 54.38/15.07 # Propositional unsat core size : 0 54.38/15.07 # Propositional preprocessing time : 0.000 54.38/15.07 # Propositional encoding time : 0.299 54.38/15.07 # Propositional solver time : 0.050 54.38/15.07 # Success case prop preproc time : 0.000 54.38/15.07 # Success case prop encoding time : 0.000 54.38/15.07 # Success case prop solver time : 0.000 54.38/15.07 # Current number of processed clauses : 3071 54.38/15.07 # Positive orientable unit clauses : 330 54.38/15.07 # Positive unorientable unit clauses: 6 54.38/15.07 # Negative unit clauses : 112 54.38/15.07 # Non-unit-clauses : 2623 54.38/15.07 # Current number of unprocessed clauses: 120351 54.38/15.07 # ...number of literals in the above : 685890 54.38/15.07 # Current number of archived formulas : 0 54.38/15.07 # Current number of archived clauses : 1478 54.38/15.07 # Clause-clause subsumption calls (NU) : 587016 54.38/15.07 # Rec. Clause-clause subsumption calls : 161768 54.38/15.07 # Non-unit clause-clause subsumptions : 5750 54.38/15.07 # Unit Clause-clause subsumption calls : 3716 54.38/15.07 # Rewrite failures with RHS unbound : 0 54.38/15.07 # BW rewrite match attempts : 18587 54.38/15.07 # BW rewrite match successes : 121 54.38/15.07 # Condensation attempts : 0 54.38/15.07 # Condensation successes : 0 54.38/15.07 # Termbank termtop insertions : 21863305 54.38/15.07 54.38/15.07 # ------------------------------------------------- 54.38/15.07 # User time : 5.783 s 54.38/15.07 # System time : 0.182 s 54.38/15.07 # Total time : 5.965 s 54.38/15.07 # Maximum resident set size: 63440 pages 54.90/15.16 54.90/15.16 # ------------------------------------------------- 54.90/15.16 # User time : 12.659 s 54.90/15.16 # System time : 0.376 s 54.90/15.16 # Total time : 13.035 s 54.90/15.16 # Maximum resident set size: 55708 pages 54.90/15.17 % E---3.1 exiting 54.90/15.17 EOF