0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.23 % Computer : n014.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:14:25 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.23 # Version: 2.2pre001 0.06/0.38 # No SInE strategy applied 0.06/0.38 # Trying AutoSched0 for 151 seconds 7.01/7.28 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 7.01/7.28 # and selection function SelectMaxLComplexAvoidPosPred. 7.01/7.28 # 7.01/7.28 # Preprocessing time : 1.104 s 7.01/7.28 # Presaturation interreduction done 7.01/7.28 7.01/7.28 # Proof found! 7.01/7.28 # SZS status Theorem 7.01/7.28 # SZS output start CNFRefutation 7.01/7.28 fof(fact_empty__def, axiom, ![X3]:hAPP(c_Set_OCollect(X3),hAPP(c_COMBK(tc_HOL_Obool,X3),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_empty__def)). 7.01/7.28 fof(fact_Collect__def, axiom, ![X8, X3]:X8=hAPP(c_Set_OCollect(X3),X8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Collect__def)). 7.01/7.28 fof(fact_UNIV__def, axiom, ![X3]:c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))=hAPP(c_Set_OCollect(X3),hAPP(c_COMBK(tc_HOL_Obool,X3),c_fTrue)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_UNIV__def)). 7.01/7.28 fof(fact_Collect__neg__eq, axiom, ![X8, X3]:hAPP(c_Set_OCollect(X3),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3),c_fNot),X8))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3),X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 7.01/7.28 fof(fact_Collect__empty__eq, axiom, ![X8, X3]:(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))=hAPP(c_Set_OCollect(X3),X8)<=>![X13]:~(hBOOL(hAPP(X8,X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Collect__empty__eq)). 7.01/7.28 fof(help_c__COMBK__1, axiom, ![X270, X81, X3, X5]:hAPP(hAPP(c_COMBK(X5,X3),X81),X270)=X81, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_c__COMBK__1)). 7.01/7.28 fof(fact_add__eq__self__zero, axiom, ![X6, X44]:(X6=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=X44=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),X6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_add__eq__self__zero)). 7.01/7.28 fof(fact_transfer__nat__int__numerals_I1_J, axiom, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_transfer__nat__int__numerals_I1_J)). 7.01/7.28 fof(fact_Pls__def, axiom, c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Pls__def)). 7.01/7.28 fof(fact_Suc__neq__Zero, axiom, ![X44]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X44), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Suc__neq__Zero)). 7.01/7.28 fof(fact_double__complement, axiom, ![X2, X3]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),X2))=X2, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_double__complement)). 7.01/7.28 fof(fact_compl__bot__eq, axiom, ![X5]:(hAPP(c_Groups_Ouminus__class_Ouminus(X5),c_Orderings_Obot__class_Obot(X5))=c_Orderings_Otop__class_Otop(X5)<=class_Lattices_Oboolean__algebra(X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_compl__bot__eq)). 7.01/7.28 fof(fact_bot__apply, axiom, ![X1, X12, X3]:(c_Orderings_Obot__class_Obot(X3)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X12,X3)),X1)<=class_Orderings_Obot(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_bot__apply)). 7.01/7.28 fof(fact_top__apply, axiom, ![X1, X12, X3]:(c_Orderings_Otop__class_Otop(X3)=hAPP(c_Orderings_Otop__class_Otop(tc_fun(X12,X3)),X1)<=class_Orderings_Otop(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_top__apply)). 7.01/7.28 fof(fact_Compl__UNIV__eq, axiom, ![X3]:c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Compl__UNIV__eq)). 7.01/7.28 fof(fact_add__Suc__right, axiom, ![X6, X44]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),X6))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),hAPP(c_Nat_OSuc,X6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_add__Suc__right)). 7.01/7.28 fof(help_c__COMBB__1, axiom, ![X77, X42, X8, X19, X3, X12]:hAPP(X8,hAPP(X42,X77))=hAPP(hAPP(hAPP(c_COMBB(X12,X3,X19),X8),X42),X77), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_c__COMBB__1)). 7.01/7.28 fof(help_c__fNot__1, axiom, ![X8]:(~(hBOOL(X8))|~(hBOOL(hAPP(c_fNot,X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_c__fNot__1)). 7.01/7.28 fof(arity_HOL__Obool__Lattices_Oboolean__algebra, axiom, class_Lattices_Oboolean__algebra(tc_HOL_Obool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_HOL__Obool__Lattices_Oboolean__algebra)). 7.01/7.28 fof(arity_HOL__Obool__Orderings_Obot, axiom, class_Orderings_Obot(tc_HOL_Obool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_HOL__Obool__Orderings_Obot)). 7.01/7.28 fof(arity_HOL__Obool__Orderings_Otop, axiom, class_Orderings_Otop(tc_HOL_Obool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_HOL__Obool__Orderings_Otop)). 7.01/7.28 fof(fact_Nat_Oadd__0__right, axiom, ![X44]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X44, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 7.01/7.28 fof(fact_option_Osimps_I4_J, axiom, ![X90, X91, X12, X3]:hAPP(c_Option_Ooption_Ooption__case(X3,X12,X91,X90),c_Option_Ooption_ONone(X12))=X91, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_option_Osimps_I4_J)). 7.01/7.28 fof(fact_n__not__Suc__n, axiom, ![X6]:X6!=hAPP(c_Nat_OSuc,X6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_n__not__Suc__n)). 7.01/7.28 fof(c_0_24, plain, ![X4297]:hAPP(c_Set_OCollect(X4297),hAPP(c_COMBK(tc_HOL_Obool,X4297),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X4297,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_empty__def])). 7.01/7.28 fof(c_0_25, plain, ![X7243, X7244]:X7243=hAPP(c_Set_OCollect(X7244),X7243), inference(variable_rename,[status(thm)],[fact_Collect__def])). 7.01/7.28 fof(c_0_26, plain, ![X8725]:c_Orderings_Otop__class_Otop(tc_fun(X8725,tc_HOL_Obool))=hAPP(c_Set_OCollect(X8725),hAPP(c_COMBK(tc_HOL_Obool,X8725),c_fTrue)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 7.01/7.28 fof(c_0_27, plain, ![X14120, X14121]:hAPP(c_Set_OCollect(X14121),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X14121),c_fNot),X14120))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X14121,tc_HOL_Obool)),hAPP(c_Set_OCollect(X14121),X14120)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 7.01/7.28 fof(c_0_28, plain, ![X1898, X1899, X1900, X1898, X1899]:((c_Orderings_Obot__class_Obot(tc_fun(X1899,tc_HOL_Obool))!=hAPP(c_Set_OCollect(X1899),X1898)|~hBOOL(hAPP(X1898,X1900)))&(hBOOL(hAPP(X1898,esk60_1(X1898)))|c_Orderings_Obot__class_Obot(tc_fun(X1899,tc_HOL_Obool))=hAPP(c_Set_OCollect(X1899),X1898))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq])])])])])])])). 7.01/7.28 fof(c_0_29, plain, ![X8374, X8375, X8376, X8377]:hAPP(hAPP(c_COMBK(X8377,X8376),X8375),X8374)=X8375, inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 7.01/7.28 cnf(c_0_30, plain, (hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_24])). 7.01/7.28 cnf(c_0_31, plain, (X1=hAPP(c_Set_OCollect(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_25])). 7.01/7.28 cnf(c_0_32, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue))), inference(split_conjunct,[status(thm)],[c_0_26])). 7.01/7.28 fof(c_0_33, plain, ![X8938, X8939]:(X8939!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X8939),X8938)|X8938=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_add__eq__self__zero])])])])])). 7.01/7.28 cnf(c_0_34, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J])). 7.01/7.28 cnf(c_0_35, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 7.01/7.28 fof(c_0_36, plain, ![X488]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X488), inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero])). 7.01/7.28 fof(c_0_37, plain, ![X11689, X11690]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11690,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11690,tc_HOL_Obool)),X11689))=X11689, inference(variable_rename,[status(thm)],[fact_double__complement])). 7.01/7.28 cnf(c_0_38, plain, (hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2))), inference(split_conjunct,[status(thm)],[c_0_27])). 7.01/7.28 cnf(c_0_39, plain, (hBOOL(hAPP(X1,esk60_1(X1)))|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=hAPP(c_Set_OCollect(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_28])). 7.01/7.28 cnf(c_0_40, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3), inference(split_conjunct,[status(thm)],[c_0_29])). 7.01/7.28 cnf(c_0_41, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_30, c_0_31])). 7.01/7.28 fof(c_0_42, plain, ![X14372]:(~class_Lattices_Oboolean__algebra(X14372)|hAPP(c_Groups_Ouminus__class_Ouminus(X14372),c_Orderings_Obot__class_Obot(X14372))=c_Orderings_Otop__class_Otop(X14372)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_compl__bot__eq])])])). 7.01/7.28 fof(c_0_43, plain, ![X14408, X14409, X14410]:(~class_Orderings_Obot(X14410)|c_Orderings_Obot__class_Obot(X14410)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X14409,X14410)),X14408)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_bot__apply])])])). 7.01/7.28 fof(c_0_44, plain, ![X8388, X8389, X8390]:(~class_Orderings_Otop(X8390)|c_Orderings_Otop__class_Otop(X8390)=hAPP(c_Orderings_Otop__class_Otop(tc_fun(X8389,X8390)),X8388)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_top__apply])])])). 7.01/7.28 cnf(c_0_45, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_32, c_0_31])). 7.01/7.28 fof(c_0_46, plain, ![X7237]:c_Orderings_Obot__class_Obot(tc_fun(X7237,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7237,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X7237,tc_HOL_Obool))), inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq])). 7.01/7.28 cnf(c_0_47, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)), inference(split_conjunct,[status(thm)],[c_0_33])). 7.01/7.28 cnf(c_0_48, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_34, c_0_35])). 7.01/7.28 fof(c_0_49, plain, ![X10561, X10562]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X10562),X10561))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X10562),hAPP(c_Nat_OSuc,X10561)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 7.01/7.28 cnf(c_0_50, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_36])). 7.01/7.28 fof(c_0_51, plain, ![X4669, X4670, X4671, X4672, X4673, X4674]:hAPP(X4671,hAPP(X4670,X4669))=hAPP(hAPP(hAPP(c_COMBB(X4674,X4673,X4672),X4671),X4670),X4669), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 7.01/7.28 cnf(c_0_52, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))=X2), inference(split_conjunct,[status(thm)],[c_0_37])). 7.01/7.28 cnf(c_0_53, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_31]), c_0_31])). 7.01/7.28 fof(c_0_54, plain, ![X7414]:(~hBOOL(X7414)|~hBOOL(hAPP(c_fNot,X7414))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 7.01/7.28 cnf(c_0_55, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk60_1(X1)))), inference(rw,[status(thm)],[c_0_39, c_0_31])). 7.01/7.28 cnf(c_0_56, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_fFalse), inference(spm,[status(thm)],[c_0_40, c_0_41])). 7.01/7.28 cnf(c_0_57, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1)), inference(split_conjunct,[status(thm)],[c_0_42])). 7.01/7.28 cnf(c_0_58, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Oboolean__algebra])). 7.01/7.28 cnf(c_0_59, plain, (c_Orderings_Obot__class_Obot(X1)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3)|~class_Orderings_Obot(X1)), inference(split_conjunct,[status(thm)],[c_0_43])). 7.01/7.28 cnf(c_0_60, plain, (class_Orderings_Obot(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot])). 7.01/7.28 cnf(c_0_61, plain, (c_Orderings_Otop__class_Otop(X1)=hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,X1)),X3)|~class_Orderings_Otop(X1)), inference(split_conjunct,[status(thm)],[c_0_44])). 7.01/7.28 cnf(c_0_62, plain, (class_Orderings_Otop(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Otop])). 7.01/7.28 cnf(c_0_63, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_40, c_0_45])). 7.01/7.28 cnf(c_0_64, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))), inference(split_conjunct,[status(thm)],[c_0_46])). 7.01/7.28 cnf(c_0_65, plain, (X1=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2), inference(rw,[status(thm)],[c_0_47, c_0_48])). 7.01/7.28 cnf(c_0_66, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))), inference(split_conjunct,[status(thm)],[c_0_49])). 7.01/7.28 cnf(c_0_67, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_50, c_0_48])). 7.01/7.28 fof(c_0_68, plain, ![X6135]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X6135),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X6135, inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 7.01/7.28 cnf(c_0_69, plain, (hAPP(X1,hAPP(X2,X3))=hAPP(hAPP(hAPP(c_COMBB(X4,X5,X6),X1),X2),X3)), inference(split_conjunct,[status(thm)],[c_0_51])). 7.01/7.28 cnf(c_0_70, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53]), c_0_53])). 7.01/7.28 fof(c_0_71, plain, ![X15415, X15416, X15417, X15418]:hAPP(c_Option_Ooption_Ooption__case(X15418,X15417,X15416,X15415),c_Option_Ooption_ONone(X15417))=X15416, inference(variable_rename,[status(thm)],[fact_option_Osimps_I4_J])). 7.01/7.28 cnf(c_0_72, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_54])). 7.01/7.28 cnf(c_0_73, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_55]), c_0_56]), c_0_40])). 7.01/7.28 cnf(c_0_74, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool))=c_Orderings_Otop__class_Otop(tc_HOL_Obool)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 7.01/7.28 cnf(c_0_75, plain, (c_Orderings_Obot__class_Obot(tc_HOL_Obool)=c_fFalse), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_56])). 7.01/7.28 cnf(c_0_76, plain, (c_Orderings_Otop__class_Otop(tc_HOL_Obool)=c_fTrue), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])). 7.01/7.28 cnf(c_0_77, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_64, c_0_53])). 7.01/7.28 cnf(c_0_78, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67])). 7.01/7.28 cnf(c_0_79, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[c_0_68])). 7.01/7.28 cnf(c_0_80, plain, (hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2)))=hAPP(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_69])). 7.01/7.28 cnf(c_0_81, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,X2,X3,X4),c_Option_Ooption_ONone(X2))=X3), inference(split_conjunct,[status(thm)],[c_0_71])). 7.01/7.28 cnf(c_0_82, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_72, c_0_73])). 7.01/7.28 cnf(c_0_83, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75]), c_0_76])). 7.01/7.28 cnf(c_0_84, plain, (hAPP(c_fNot,c_fTrue)=c_fFalse), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_77]), c_0_56]), c_0_63])). 7.01/7.28 cnf(c_0_85, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))!=X1), inference(spm,[status(thm)],[c_0_78, c_0_66])). 7.01/7.28 cnf(c_0_86, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls))=X1), inference(rw,[status(thm)],[c_0_79, c_0_48])). 7.01/7.28 cnf(c_0_87, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(spm,[status(thm)],[c_0_80, c_0_81])). 7.01/7.28 cnf(c_0_88, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_82, c_0_73])). 7.01/7.28 cnf(c_0_89, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_83]), c_0_84])). 7.01/7.28 cnf(c_0_90, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))!=X1), inference(spm,[status(thm)],[c_0_85, c_0_86])). 7.01/7.28 cnf(c_0_91, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89])). 7.01/7.28 fof(c_0_92, plain, ![X13161]:X13161!=hAPP(c_Nat_OSuc,X13161), inference(variable_rename,[status(thm)],[fact_n__not__Suc__n])). 7.01/7.28 cnf(c_0_93, plain, (hAPP(c_Nat_OSuc,X1)=c_fFalse|hAPP(c_Nat_OSuc,c_fTrue)!=X1), inference(spm,[status(thm)],[c_0_90, c_0_91])). 7.01/7.28 cnf(c_0_94, plain, (X1!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_92])). 7.01/7.28 cnf(c_0_95, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_fTrue))=c_fFalse), inference(er,[status(thm)],[c_0_93])). 7.01/7.28 cnf(c_0_96, plain, (hAPP(c_Nat_OSuc,c_fTrue)!=c_fFalse), inference(spm,[status(thm)],[c_0_94, c_0_95])). 7.01/7.28 cnf(c_0_97, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_91]), c_0_96]), ['proof']). 7.01/7.28 # SZS output end CNFRefutation 7.01/7.28 # Proof object total steps : 98 7.01/7.28 # Proof object clause steps : 55 7.01/7.28 # Proof object formula steps : 43 7.01/7.28 # Proof object conjectures : 0 7.01/7.28 # Proof object clause conjectures : 0 7.01/7.28 # Proof object formula conjectures : 0 7.01/7.28 # Proof object initial clauses used : 24 7.01/7.28 # Proof object initial formulas used : 24 7.01/7.28 # Proof object generating inferences : 20 7.01/7.28 # Proof object simplifying inferences : 25 7.01/7.28 # Training examples: 0 positive, 0 negative 7.01/7.28 # Parsed axioms : 5209 7.01/7.28 # Removed by relevancy pruning/SinE : 0 7.01/7.28 # Initial clauses : 7485 7.01/7.28 # Removed in clause preprocessing : 246 7.01/7.28 # Initial clauses in saturation : 7239 7.01/7.28 # Processed clauses : 20401 7.01/7.28 # ...of these trivial : 327 7.01/7.28 # ...subsumed : 8940 7.01/7.28 # ...remaining for further processing : 11133 7.01/7.28 # Other redundant clauses eliminated : 174 7.01/7.28 # Clauses deleted for lack of memory : 0 7.01/7.28 # Backward-subsumed : 72 7.01/7.28 # Backward-rewritten : 422 7.01/7.28 # Generated clauses : 179475 7.01/7.28 # ...of the previous two non-trivial : 171739 7.01/7.28 # Contextual simplify-reflections : 388 7.01/7.28 # Paramodulations : 179091 7.01/7.28 # Factorizations : 2 7.01/7.28 # Equation resolutions : 389 7.01/7.28 # Propositional unsat checks : 0 7.01/7.28 # Propositional check models : 0 7.01/7.28 # Propositional check unsatisfiable : 0 7.01/7.28 # Propositional clauses : 0 7.01/7.28 # Propositional clauses after purity: 0 7.01/7.28 # Propositional unsat core size : 0 7.01/7.28 # Current number of processed clauses : 4655 7.01/7.28 # Positive orientable unit clauses : 1450 7.01/7.28 # Positive unorientable unit clauses: 127 7.01/7.28 # Negative unit clauses : 1108 7.01/7.28 # Non-unit-clauses : 1970 7.01/7.28 # Current number of unprocessed clauses: 153948 7.01/7.28 # ...number of literals in the above : 279507 7.01/7.28 # Current number of archived formulas : 0 7.01/7.28 # Current number of archived clauses : 6419 7.01/7.28 # Clause-clause subsumption calls (NU) : 4211672 7.01/7.28 # Rec. Clause-clause subsumption calls : 1944147 7.01/7.28 # Non-unit clause-clause subsumptions : 2863 7.01/7.28 # Unit Clause-clause subsumption calls : 212394 7.01/7.28 # Rewrite failures with RHS unbound : 286 7.01/7.28 # BW rewrite match attempts : 42384 7.01/7.28 # BW rewrite match successes : 1352 7.01/7.28 # Condensation attempts : 0 7.01/7.28 # Condensation successes : 0 7.01/7.28 # Termbank termtop insertions : 6325271 7.10/7.30 7.10/7.30 # ------------------------------------------------- 7.10/7.30 # User time : 6.860 s 7.10/7.30 # System time : 0.205 s 7.10/7.30 # Total time : 7.065 s 7.10/7.30 # Maximum resident set size: 10872 pages 7.10/7.31 EOF