0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.11 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.11/0.31 % Computer : n007.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1200 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Jul 13 15:49:49 EDT 2021 0.11/0.31 % CPUTime : 0.11/0.31 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 # Version: 2.6rc1-ho 0.11/0.32 # No SInE strategy applied 0.11/0.32 # Trying AutoSched0 for 59 seconds 0.54/0.77 # AutoSched0-Mode selected heuristic h208_C09_12_F1_SE_CS_SP_PS_S070I 0.54/0.77 # and selection function SelectVGNonCR. 0.54/0.77 # 0.54/0.77 # Preprocessing time : 0.038 s 0.54/0.77 # Presaturation interreduction done 0.54/0.77 0.54/0.77 # Proof found! 0.54/0.77 # SZS status Theorem 0.54/0.77 # SZS output start CNFRefutation 0.54/0.77 thf(ap_tp, axiom, ![X1:del, X2:del, X7:$i]:(![X4:$i]:(mem @ (ap @ X7 @ X4) @ X2<=mem @ X4 @ X1)<=mem @ X7 @ (arr @ X1 @ X2)), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001^2.ax', ap_tp)). 0.54/0.77 thf(ax_neg_p, axiom, ![X20:$i]:(mem @ X20 @ bool=>(p @ (ap @ c_2Ebool_2E_7E @ X20)<=>~(p @ X20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_neg_p)). 0.54/0.77 thf(mem_c_2Einteger_2Eint__divides, axiom, mem @ c_2Einteger_2Eint__divides @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ bool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Einteger_2Eint__divides)). 0.54/0.77 thf(stp_iso_mem_o, axiom, ![X4:$i]:(mem @ X4 @ bool=>(X4)=(inj__o @ (p @ X4))), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001^2.ax', stp_iso_mem_o)). 0.54/0.77 thf(stp_inj_mem_ty_2Einteger_2Eint, axiom, ![X22:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X22) @ ty_2Einteger_2Eint, file('/export/starexec/sandbox/benchmark/theBenchmark.p', stp_inj_mem_ty_2Einteger_2Eint)). 0.54/0.77 thf(stp_eq_fo_c_2Einteger_2Eint__neg, axiom, ![X17:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X17))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2Eint__neg)). 0.54/0.77 thf(stp_eq_fo_c_2Einteger_2Eint__add, axiom, ![X17:tp__ty_2Einteger_2Eint, X34:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X17 @ X34))=(ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2Eint__add)). 0.54/0.77 thf(ax_thm_2Einteger_2Eint__sub, axiom, ![X41:tp__ty_2Einteger_2Eint, X42:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X41)) @ (inj__ty_2Einteger_2Eint @ X42)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X41)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X42)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_thm_2Einteger_2Eint__sub)). 0.54/0.77 thf(stp_eq_fo_c_2Einteger_2Eint__sub, axiom, ![X17:tp__ty_2Einteger_2Eint, X34:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X17 @ X34))=(ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', stp_eq_fo_c_2Einteger_2Eint__sub)). 0.54/0.77 thf(stp_inj_surj_ty_2Einteger_2Eint, axiom, ![X40:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X40))=(X40), file('/export/starexec/sandbox/benchmark/theBenchmark.p', stp_inj_surj_ty_2Einteger_2Eint)). 0.54/0.77 thf(mem_c_2Ebool_2ET, axiom, mem @ c_2Ebool_2ET @ bool, file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2ET)). 0.54/0.77 thf(ax_true_p, axiom, p @ c_2Ebool_2ET, file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_true_p)). 0.54/0.77 thf(conj_thm_2Einteger_2EINT__DIVIDES__RADD, axiom, ![X37:tp__ty_2Einteger_2Eint, X38:tp__ty_2Einteger_2Eint, X39:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X37)) @ (inj__ty_2Einteger_2Eint @ X38))=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X37)) @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X39)) @ (inj__ty_2Einteger_2Eint @ X38)))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X37)) @ (inj__ty_2Einteger_2Eint @ X39)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Einteger_2EINT__DIVIDES__RADD)). 0.54/0.77 thf(conj_thm_2Einteger_2EINT__DIVIDES__NEG, axiom, ![X32:tp__ty_2Einteger_2Eint, X33:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X32)) @ (inj__ty_2Einteger_2Eint @ X33))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X32))) @ (inj__ty_2Einteger_2Eint @ X33)))&(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X32)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X33)))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X32)) @ (inj__ty_2Einteger_2Eint @ X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Einteger_2EINT__DIVIDES__NEG)). 0.54/0.77 thf(conj_thm_2Einteger_2EINT__DIVIDES__RSUB, conjecture, ![X23:tp__ty_2Einteger_2Eint, X24:tp__ty_2Einteger_2Eint, X25:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (inj__ty_2Einteger_2Eint @ X24))=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (inj__ty_2Einteger_2Eint @ X25))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X25)) @ (inj__ty_2Einteger_2Eint @ X24))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Einteger_2EINT__DIVIDES__RSUB)). 0.54/0.77 thf(ax_false_p, axiom, ~(p @ c_2Ebool_2EF), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_false_p)). 0.54/0.77 thf(mem_c_2Ebool_2EF, axiom, mem @ c_2Ebool_2EF @ bool, file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2EF)). 0.54/0.77 thf(c_0_17, plain, ![X1:del, X2:del, X7:$i]:(mem @ X7 @ (arr @ X1 @ X2)=>![X4:$i]:(mem @ X4 @ X1=>mem @ (ap @ X7 @ X4) @ X2)), inference(fof_simplification,[status(thm)],[ap_tp])). 0.54/0.77 thf(c_0_18, plain, ![X153:del, X154:del, X155:$i, X156:$i]:(~mem @ X155 @ (arr @ X153 @ X154)|(~mem @ X156 @ X153|mem @ (ap @ X155 @ X156) @ X154)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 0.54/0.77 thf(c_0_19, plain, ![X20:$i]:(mem @ X20 @ bool=>(p @ (ap @ c_2Ebool_2E_7E @ X20)<=>~p @ X20)), inference(fof_simplification,[status(thm)],[ax_neg_p])). 0.54/0.77 thf(c_0_20, plain, ![X2:del, X7:$i, X4:$i, X1:del]:(mem @ (ap @ X4 @ X7) @ X2|~mem @ X4 @ (arr @ X1 @ X2)|~mem @ X7 @ X1), inference(split_conjunct,[status(thm)],[c_0_18])). 0.54/0.77 thf(c_0_21, plain, mem @ c_2Einteger_2Eint__divides @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ bool)), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__divides])). 0.54/0.77 thf(c_0_22, axiom, ![X4:$i]:(mem @ X4 @ bool=>((~p @ X4|(X4)=(inj__o @ $true))&(p @ X4|(X4)=(inj__o @ $false)))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 0.54/0.77 thf(c_0_23, plain, ![X239:$i]:((~p @ (ap @ c_2Ebool_2E_7E @ X239)|~p @ X239|~mem @ X239 @ bool)&(p @ X239|p @ (ap @ c_2Ebool_2E_7E @ X239)|~mem @ X239 @ bool)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])). 0.54/0.77 thf(c_0_24, plain, ![X4:$i]:(mem @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (arr @ ty_2Einteger_2Eint @ bool)|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.54/0.77 thf(c_0_25, plain, ![X157:$i]:((~p @ X157|(X157)=(inj__o @ $true)|~mem @ X157 @ bool)&(p @ X157|(X157)=(inj__o @ $false)|~mem @ X157 @ bool)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 0.54/0.77 thf(c_0_26, plain, ![X4:$i]:(~p @ (ap @ c_2Ebool_2E_7E @ X4)|~p @ X4|~mem @ X4 @ bool), inference(split_conjunct,[status(thm)],[c_0_23])). 0.54/0.77 thf(c_0_27, plain, ![X7:$i, X4:$i]:(mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X7) @ bool|~mem @ X7 @ ty_2Einteger_2Eint|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_20, c_0_24])). 0.54/0.77 thf(c_0_28, plain, ![X175:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X175) @ ty_2Einteger_2Eint, inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint])). 0.54/0.77 thf(c_0_29, plain, ![X170:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X170))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X170)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__neg])). 0.54/0.77 thf(c_0_30, plain, ![X205:tp__ty_2Einteger_2Eint, X206:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X205 @ X206))=(ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X205)) @ (inj__ty_2Einteger_2Eint @ X206)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__add])). 0.54/0.77 thf(c_0_31, plain, ![X233:tp__ty_2Einteger_2Eint, X234:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X233)) @ (inj__ty_2Einteger_2Eint @ X234)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X233)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X234)))), inference(variable_rename,[status(thm)],[ax_thm_2Einteger_2Eint__sub])). 0.54/0.77 thf(c_0_32, plain, ![X224:tp__ty_2Einteger_2Eint, X225:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X224 @ X225))=(ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X224)) @ (inj__ty_2Einteger_2Eint @ X225)), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__sub])). 0.54/0.77 thf(c_0_33, plain, ![X228:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X228))=(X228), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint])). 0.54/0.77 thf(c_0_34, plain, ![X4:$i]:((X4)=(inj__o @ $true)|~p @ X4|~mem @ X4 @ bool), inference(split_conjunct,[status(thm)],[c_0_25])). 0.54/0.77 thf(c_0_35, plain, mem @ c_2Ebool_2ET @ bool, inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 0.54/0.77 thf(c_0_36, plain, p @ c_2Ebool_2ET, inference(split_conjunct,[status(thm)],[ax_true_p])). 0.54/0.77 thf(c_0_37, plain, ![X7:$i, X4:$i]:(~p @ (ap @ c_2Ebool_2E_7E @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X7))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X7)|~mem @ X7 @ ty_2Einteger_2Eint|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.54/0.77 thf(c_0_38, plain, ![X17:tp__ty_2Einteger_2Eint]:mem @ (inj__ty_2Einteger_2Eint @ X17) @ ty_2Einteger_2Eint, inference(split_conjunct,[status(thm)],[c_0_28])). 0.54/0.77 thf(c_0_39, plain, ![X17:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__neg @ X17))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.54/0.77 thf(c_0_40, plain, ![X221:tp__ty_2Einteger_2Eint, X222:tp__ty_2Einteger_2Eint, X223:tp__ty_2Einteger_2Eint]:((~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X223)) @ (inj__ty_2Einteger_2Eint @ X222)))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (inj__ty_2Einteger_2Eint @ X223))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (inj__ty_2Einteger_2Eint @ X222)))&(~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (inj__ty_2Einteger_2Eint @ X223))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X223)) @ (inj__ty_2Einteger_2Eint @ X222)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X221)) @ (inj__ty_2Einteger_2Eint @ X222)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__RADD])])])). 0.54/0.77 thf(c_0_41, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X17 @ X22))=(ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.54/0.77 thf(c_0_42, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.54/0.77 thf(c_0_43, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X17 @ X22))=(ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.54/0.77 thf(c_0_44, plain, ![X17:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X17))=(X17), inference(split_conjunct,[status(thm)],[c_0_33])). 0.54/0.77 thf(c_0_45, plain, (inj__o @ $true)=(c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])])). 0.54/0.77 thf(c_0_46, plain, ![X17:tp__ty_2Einteger_2Eint, X4:$i]:(~p @ (ap @ c_2Ebool_2E_7E @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17))|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.54/0.77 thf(c_0_47, plain, ![X17:tp__ty_2Einteger_2Eint]:mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17)) @ ty_2Einteger_2Eint, inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.54/0.77 thf(c_0_48, plain, ![X203:tp__ty_2Einteger_2Eint, X204:tp__ty_2Einteger_2Eint]:(((~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (inj__ty_2Einteger_2Eint @ X204))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X203))) @ (inj__ty_2Einteger_2Eint @ X204)))&(~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X203))) @ (inj__ty_2Einteger_2Eint @ X204))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (inj__ty_2Einteger_2Eint @ X204))))&((~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X204)))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (inj__ty_2Einteger_2Eint @ X204)))&(~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (inj__ty_2Einteger_2Eint @ X204))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X203)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X204)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])). 0.54/0.77 thf(c_0_49, negated_conjecture, ~(![X23:tp__ty_2Einteger_2Eint, X24:tp__ty_2Einteger_2Eint, X25:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (inj__ty_2Einteger_2Eint @ X24))=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (inj__ty_2Einteger_2Eint @ X25))<=>p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X23)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X25)) @ (inj__ty_2Einteger_2Eint @ X24)))))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB])). 0.54/0.77 thf(c_0_50, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X22)) @ (inj__ty_2Einteger_2Eint @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X23))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.54/0.77 thf(c_0_51, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X17 @ (fo__c_2Einteger_2Eint__neg @ X22)))=(ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_41, c_0_39])). 0.54/0.77 thf(c_0_52, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22))))=(fo__c_2Einteger_2Eint__sub @ X17 @ X22), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43]), c_0_44])). 0.54/0.77 thf(c_0_53, plain, ![X4:$i]:((X4)=(c_2Ebool_2ET)|~mem @ X4 @ bool|~p @ X4), inference(rw,[status(thm)],[c_0_34, c_0_45])). 0.54/0.77 thf(c_0_54, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(~p @ (ap @ c_2Ebool_2E_7E @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 0.54/0.77 thf(c_0_55, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.54/0.77 thf(c_0_56, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0))&((~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk5_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0))))&(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk5_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])). 0.54/0.77 thf(c_0_57, plain, ~p @ c_2Ebool_2EF, inference(fof_simplification,[status(thm)],[ax_false_p])). 0.54/0.77 thf(c_0_58, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X22 @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X23))), inference(rw,[status(thm)],[c_0_50, c_0_41])). 0.54/0.77 thf(c_0_59, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(fo__c_2Einteger_2Eint__add @ X17 @ (fo__c_2Einteger_2Eint__neg @ X22))=(fo__c_2Einteger_2Eint__sub @ X17 @ X22), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_51]), c_0_52])). 0.54/0.77 thf(c_0_60, plain, ![X7:$i, X4:$i]:((ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X7)=(c_2Ebool_2ET)|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X7)|~mem @ X7 @ ty_2Einteger_2Eint|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_53, c_0_27])). 0.54/0.77 thf(c_0_61, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(~p @ (ap @ c_2Ebool_2E_7E @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.54/0.77 thf(c_0_62, negated_conjecture, p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_56])). 0.54/0.77 thf(c_0_63, plain, ~p @ c_2Ebool_2EF, inference(split_conjunct,[status(thm)],[c_0_57])). 0.54/0.77 thf(c_0_64, plain, ![X4:$i]:(p @ X4|(X4)=(inj__o @ $false)|~mem @ X4 @ bool), inference(split_conjunct,[status(thm)],[c_0_25])). 0.54/0.77 thf(c_0_65, plain, mem @ c_2Ebool_2EF @ bool, inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 0.54/0.77 thf(c_0_66, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X22 @ X23)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_39]), c_0_59])). 0.54/0.77 thf(c_0_67, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.54/0.77 thf(c_0_68, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.54/0.77 thf(c_0_69, plain, ![X17:tp__ty_2Einteger_2Eint, X4:$i]:((ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17))=(c_2Ebool_2ET)|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17))|~mem @ X4 @ ty_2Einteger_2Eint), inference(spm,[status(thm)],[c_0_60, c_0_38])). 0.54/0.77 thf(c_0_70, negated_conjecture, ~p @ (ap @ c_2Ebool_2E_7E @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 0.54/0.77 thf(c_0_71, plain, ![X4:$i]:(p @ X4|p @ (ap @ c_2Ebool_2E_7E @ X4)|~mem @ X4 @ bool), inference(split_conjunct,[status(thm)],[c_0_23])). 0.54/0.77 thf(c_0_72, negated_conjecture, (~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk5_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_56])). 0.54/0.77 thf(c_0_73, plain, (inj__o @ $false)=(c_2Ebool_2EF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])])). 0.54/0.77 thf(c_0_74, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X22 @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X23))), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.54/0.77 thf(c_0_75, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk5_0)) @ (inj__ty_2Einteger_2Eint @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_56])). 0.54/0.77 thf(c_0_76, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))), inference(spm,[status(thm)],[c_0_68, c_0_39])). 0.54/0.77 thf(c_0_77, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_67, c_0_39])). 0.54/0.77 thf(c_0_78, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:((ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))=(c_2Ebool_2ET)|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_69, c_0_47])). 0.54/0.77 thf(c_0_79, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0))|~mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0)) @ bool), inference(spm,[status(thm)],[c_0_70, c_0_71])). 0.54/0.77 thf(c_0_80, negated_conjecture, (~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))), inference(rw,[status(thm)],[c_0_72, c_0_43])). 0.54/0.77 thf(c_0_81, plain, ![X4:$i]:((X4)=(c_2Ebool_2EF)|p @ X4|~mem @ X4 @ bool), inference(rw,[status(thm)],[c_0_64, c_0_73])). 0.54/0.77 thf(c_0_82, negated_conjecture, ![X17:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ X17))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X17 @ esk4_0)))), inference(spm,[status(thm)],[c_0_74, c_0_62])). 0.54/0.77 thf(c_0_83, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0)))|p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))), inference(rw,[status(thm)],[c_0_75, c_0_43])). 0.54/0.77 thf(c_0_84, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17))) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 0.54/0.77 thf(c_0_85, negated_conjecture, ((ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0))=(c_2Ebool_2ET)|~mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0)) @ bool), inference(spm,[status(thm)],[c_0_78, c_0_79])). 0.54/0.77 thf(c_0_86, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X22)) @ (inj__ty_2Einteger_2Eint @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X23))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.54/0.77 thf(c_0_87, negated_conjecture, ((ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0)))=(c_2Ebool_2EF)|~mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0))) @ bool|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))), inference(spm,[status(thm)],[c_0_80, c_0_81])). 0.54/0.77 thf(c_0_88, negated_conjecture, p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])). 0.54/0.77 thf(c_0_89, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:((ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))=(c_2Ebool_2ET)|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(spm,[status(thm)],[c_0_69, c_0_38])). 0.54/0.77 thf(c_0_90, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk4_0)))|~mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0)) @ bool), inference(spm,[status(thm)],[c_0_84, c_0_79])). 0.54/0.77 thf(c_0_91, negated_conjecture, (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ (inj__ty_2Einteger_2Eint @ esk4_0))=(c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_27]), c_0_38]), c_0_47])])). 0.54/0.77 thf(c_0_92, plain, ![X17:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__add @ X22 @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X23))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(rw,[status(thm)],[c_0_86, c_0_41])). 0.54/0.77 thf(c_0_93, negated_conjecture, ((ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0)))=(c_2Ebool_2EF)|~mem @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0))) @ bool), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])). 0.54/0.77 thf(c_0_94, plain, ![X17:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:((ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))=(c_2Ebool_2ET)|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X22)))), inference(spm,[status(thm)],[c_0_89, c_0_39])). 0.54/0.77 thf(c_0_95, negated_conjecture, p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91]), c_0_35])])). 0.54/0.77 thf(c_0_96, plain, ![X17:tp__ty_2Einteger_2Eint, X23:tp__ty_2Einteger_2Eint, X22:tp__ty_2Einteger_2Eint]:(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ X22 @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X23)))|~p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17)) @ (inj__ty_2Einteger_2Eint @ X22))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_59]), c_0_39])). 0.54/0.77 thf(c_0_97, negated_conjecture, (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ (fo__c_2Einteger_2Eint__sub @ esk5_0 @ esk4_0)))=(c_2Ebool_2EF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_27]), c_0_38]), c_0_38])])). 0.54/0.77 thf(c_0_98, negated_conjecture, (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ esk4_0)))=(c_2Ebool_2ET), inference(spm,[status(thm)],[c_0_94, c_0_95])). 0.54/0.77 thf(c_0_99, negated_conjecture, (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk5_0))=(c_2Ebool_2ET), inference(spm,[status(thm)],[c_0_89, c_0_88])). 0.54/0.77 thf(c_0_100, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_98]), c_0_36]), c_0_99]), c_0_36])]), c_0_63]), ['proof']). 0.54/0.77 # SZS output end CNFRefutation 0.54/0.77 # Proof object total steps : 101 0.54/0.77 # Proof object clause steps : 67 0.54/0.77 # Proof object formula steps : 34 0.54/0.77 # Proof object conjectures : 22 0.54/0.77 # Proof object clause conjectures : 19 0.54/0.77 # Proof object formula conjectures : 3 0.54/0.77 # Proof object initial clauses used : 24 0.54/0.77 # Proof object initial formulas used : 17 0.54/0.77 # Proof object generating inferences : 34 0.54/0.77 # Proof object simplifying inferences : 32 0.54/0.77 # Training examples: 0 positive, 0 negative 0.54/0.77 # Parsed axioms : 90 0.54/0.77 # Removed by relevancy pruning/SinE : 0 0.54/0.77 # Initial clauses : 350 0.54/0.77 # Removed in clause preprocessing : 242 0.54/0.77 # Initial clauses in saturation : 108 0.54/0.77 # Processed clauses : 2195 0.54/0.77 # ...of these trivial : 30 0.54/0.77 # ...subsumed : 822 0.54/0.77 # ...remaining for further processing : 1343 0.54/0.77 # Other redundant clauses eliminated : 1 0.54/0.77 # Clauses deleted for lack of memory : 0 0.54/0.77 # Backward-subsumed : 12 0.54/0.77 # Backward-rewritten : 154 0.54/0.77 # Generated clauses : 20923 0.54/0.77 # ...of the previous two non-trivial : 20607 0.54/0.77 # Contextual simplify-reflections : 0 0.54/0.77 # Paramodulations : 20913 0.54/0.77 # Factorizations : 9 0.54/0.77 # NegExts : 0 0.54/0.77 # Equation resolutions : 1 0.54/0.77 # Propositional unsat checks : 0 0.54/0.77 # Propositional check models : 0 0.54/0.77 # Propositional check unsatisfiable : 0 0.54/0.77 # Propositional clauses : 0 0.54/0.77 # Propositional clauses after purity: 0 0.54/0.77 # Propositional unsat core size : 0 0.54/0.77 # Propositional preprocessing time : 0.000 0.54/0.77 # Propositional encoding time : 0.000 0.54/0.77 # Propositional solver time : 0.000 0.54/0.77 # Success case prop preproc time : 0.000 0.54/0.77 # Success case prop encoding time : 0.000 0.54/0.77 # Success case prop solver time : 0.000 0.54/0.77 # Current number of processed clauses : 1087 0.54/0.77 # Positive orientable unit clauses : 157 0.54/0.77 # Positive unorientable unit clauses: 0 0.54/0.77 # Negative unit clauses : 175 0.54/0.77 # Non-unit-clauses : 755 0.54/0.77 # Current number of unprocessed clauses: 18394 0.54/0.77 # ...number of literals in the above : 42841 0.54/0.77 # Current number of archived formulas : 0 0.54/0.77 # Current number of archived clauses : 255 0.54/0.77 # Clause-clause subsumption calls (NU) : 37477 0.54/0.77 # Rec. Clause-clause subsumption calls : 29757 0.54/0.77 # Non-unit clause-clause subsumptions : 94 0.54/0.77 # Unit Clause-clause subsumption calls : 13952 0.54/0.77 # Rewrite failures with RHS unbound : 0 0.54/0.77 # BW rewrite match attempts : 865 0.54/0.77 # BW rewrite match successes : 42 0.54/0.77 # Condensation attempts : 0 0.54/0.77 # Condensation successes : 0 0.54/0.77 # Termbank termtop insertions : 533963 0.54/0.77 0.54/0.77 # ------------------------------------------------- 0.54/0.77 # User time : 0.432 s 0.54/0.77 # System time : 0.022 s 0.54/0.77 # Total time : 0.453 s 0.54/0.77 # Maximum resident set size: 1784 pages 0.54/0.77 EOF