0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.09/0.31 % Computer : n011.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 07:59:32 EDT 2020 0.15/0.31 % CPUTime : 0.15/0.31 # Version: 2.5pre002 0.15/0.31 # No SInE strategy applied 0.15/0.31 # Trying AutoSched0 for 59 seconds 59.11/59.32 # AutoSched0-Mode selected heuristic U_____102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 59.11/59.32 # and selection function SelectComplexExceptUniqMaxHorn. 59.11/59.32 # 59.11/59.32 # Preprocessing time : 0.026 s 59.11/59.32 # Presaturation interreduction done 59.33/59.58 # No success with AutoSched0 59.33/59.58 # Trying AutoSched1 for 26 seconds 77.22/77.50 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 77.22/77.50 # and selection function PSelectComplexExceptUniqMaxHorn. 77.22/77.50 # 77.22/77.50 # Preprocessing time : 0.025 s 77.22/77.50 # Presaturation interreduction done 77.22/77.50 77.22/77.50 # Proof found! 77.22/77.50 # SZS status Theorem 77.22/77.50 # SZS output start CNFRefutation 77.22/77.50 fof(f05, axiom, ![X5, X1, X2]:mult(mult(mult(X2,X1),X5),X1)=mult(X2,mult(X1,mult(X5,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f05)). 77.22/77.50 fof(f01, axiom, ![X1, X2]:mult(X2,ld(X2,X1))=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f01)). 77.22/77.50 fof(f02, axiom, ![X1, X2]:X1=ld(X2,mult(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f02)). 77.22/77.50 fof(f04, axiom, ![X1, X2]:X2=rd(mult(X2,X1),X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f04)). 77.22/77.50 fof(f03, axiom, ![X1, X2]:X2=mult(rd(X2,X1),X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', f03)). 77.22/77.50 fof(goals, conjecture, ![X3, X4]:(mult(X3,ld(X4,X4))=X3&X3=mult(ld(X4,X4),X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)). 77.22/77.50 fof(c_0_6, plain, ![X16, X17, X18]:mult(mult(mult(X18,X17),X16),X17)=mult(X18,mult(X17,mult(X16,X17))), inference(variable_rename,[status(thm)],[f05])). 77.22/77.50 fof(c_0_7, plain, ![X12, X13]:mult(X13,ld(X13,X12))=X12, inference(variable_rename,[status(thm)],[f01])). 77.22/77.50 fof(c_0_8, plain, ![X8, X9]:X8=ld(X9,mult(X9,X8)), inference(variable_rename,[status(thm)],[f02])). 77.22/77.50 cnf(c_0_9, plain, (mult(mult(mult(X1,X2),X3),X2)=mult(X1,mult(X2,mult(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_6])). 77.22/77.50 cnf(c_0_10, plain, (mult(X1,ld(X1,X2))=X2), inference(split_conjunct,[status(thm)],[c_0_7])). 77.22/77.50 cnf(c_0_11, plain, (X1=ld(X2,mult(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_8])). 77.22/77.50 cnf(c_0_12, plain, (mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X2)))=mult(X3,X2)), inference(spm,[status(thm)],[c_0_9, c_0_10])). 77.22/77.50 cnf(c_0_13, plain, (mult(X1,mult(ld(mult(X2,X1),X3),X1))=ld(X2,mult(X3,X1))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 77.22/77.50 fof(c_0_14, plain, ![X10, X11]:X11=rd(mult(X11,X10),X10), inference(variable_rename,[status(thm)],[f04])). 77.22/77.50 cnf(c_0_15, plain, (ld(X1,ld(X2,mult(X3,X1)))=mult(ld(mult(X2,X1),X3),X1)), inference(spm,[status(thm)],[c_0_11, c_0_13])). 77.22/77.50 cnf(c_0_16, plain, (X1=rd(mult(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 77.22/77.50 cnf(c_0_17, plain, (mult(ld(mult(X1,X2),X1),X2)=ld(X2,X2)), inference(spm,[status(thm)],[c_0_15, c_0_11])). 77.22/77.50 cnf(c_0_18, plain, (rd(ld(X1,X1),X1)=ld(mult(X2,X1),X2)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 77.22/77.50 cnf(c_0_19, plain, (ld(ld(X1,X2),ld(X1,X2))=mult(ld(X2,X1),ld(X1,X2))), inference(spm,[status(thm)],[c_0_17, c_0_10])). 77.22/77.50 fof(c_0_20, plain, ![X6, X7]:X7=mult(rd(X7,X6),X6), inference(variable_rename,[status(thm)],[f03])). 77.22/77.50 cnf(c_0_21, plain, (rd(X1,ld(X2,X1))=X2), inference(spm,[status(thm)],[c_0_16, c_0_10])). 77.22/77.50 cnf(c_0_22, plain, (ld(mult(X1,ld(X2,X3)),X1)=ld(X3,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_16])). 77.22/77.50 cnf(c_0_23, plain, (rd(mult(X1,mult(X2,mult(X3,X2))),X2)=mult(mult(X1,X2),X3)), inference(spm,[status(thm)],[c_0_16, c_0_9])). 77.22/77.51 cnf(c_0_24, plain, (X1=mult(rd(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_20])). 77.22/77.51 cnf(c_0_25, plain, (rd(X1,ld(X2,X3))=mult(X1,ld(X3,X2))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 77.22/77.51 cnf(c_0_26, plain, (rd(mult(X1,mult(X2,X3)),X2)=mult(mult(X1,X2),rd(X3,X2))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 77.22/77.51 cnf(c_0_27, plain, (mult(X1,ld(mult(X2,X3),X2))=rd(X1,X3)), inference(spm,[status(thm)],[c_0_25, c_0_11])). 77.22/77.51 cnf(c_0_28, plain, (mult(rd(X1,X2),mult(X2,X2))=mult(mult(X1,ld(X2,X2)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_17]), c_0_25]), c_0_11]), c_0_27]), c_0_25]), c_0_11])). 77.22/77.51 cnf(c_0_29, plain, (ld(rd(X1,X2),mult(X3,X2))=mult(X2,mult(ld(X1,X3),X2))), inference(spm,[status(thm)],[c_0_13, c_0_24])). 77.22/77.51 cnf(c_0_30, plain, (mult(X1,mult(ld(X1,X1),X1))=mult(X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_28]), c_0_29]), c_0_11])). 77.22/77.51 cnf(c_0_31, plain, (mult(ld(mult(X1,X2),rd(X3,X2)),X2)=ld(X2,ld(X1,X3))), inference(spm,[status(thm)],[c_0_15, c_0_24])). 77.22/77.51 cnf(c_0_32, plain, (mult(ld(X1,X1),X1)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_30]), c_0_11])). 77.22/77.51 cnf(c_0_33, plain, (mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2))))=mult(mult(X2,X3),ld(X1,X2))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 77.22/77.51 cnf(c_0_34, plain, (rd(ld(X1,ld(X2,X3)),X1)=ld(mult(X2,X1),rd(X3,X1))), inference(spm,[status(thm)],[c_0_16, c_0_31])). 77.22/77.51 cnf(c_0_35, plain, (ld(ld(X1,X1),X1)=X1), inference(spm,[status(thm)],[c_0_11, c_0_32])). 77.22/77.51 cnf(c_0_36, plain, (mult(mult(X1,X2),ld(X2,X1))=mult(X2,mult(ld(X2,X1),X1))), inference(spm,[status(thm)],[c_0_33, c_0_10])). 77.22/77.51 cnf(c_0_37, plain, (mult(mult(X1,ld(X2,X2)),X2)=mult(mult(X1,X2),ld(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_32]), c_0_25]), c_0_25]), c_0_10])). 77.22/77.51 cnf(c_0_38, plain, (ld(rd(X1,X2),X1)=X2), inference(spm,[status(thm)],[c_0_11, c_0_24])). 77.22/77.51 cnf(c_0_39, plain, (ld(mult(ld(X1,X1),X2),rd(X1,X2))=rd(ld(X2,X1),X2)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 77.22/77.51 cnf(c_0_40, plain, (mult(ld(X1,X1),mult(X1,X1))=mult(X1,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_35]), c_0_10])). 77.22/77.51 cnf(c_0_41, plain, (rd(X1,X1)=ld(X1,X1)), inference(spm,[status(thm)],[c_0_16, c_0_32])). 77.22/77.51 cnf(c_0_42, plain, (mult(rd(X1,X2),mult(X2,X2))=mult(mult(X1,X2),ld(X2,X2))), inference(rw,[status(thm)],[c_0_28, c_0_37])). 77.22/77.51 cnf(c_0_43, plain, (rd(ld(X1,X1),X1)=ld(X1,ld(X1,X1))), inference(spm,[status(thm)],[c_0_18, c_0_32])). 77.22/77.51 cnf(c_0_44, plain, (mult(ld(mult(rd(mult(X1,X2),X3),X2),X1),X2)=ld(X2,X3)), inference(spm,[status(thm)],[c_0_15, c_0_38])). 77.22/77.51 cnf(c_0_45, plain, (mult(ld(ld(mult(X1,X2),X1),X3),X2)=mult(X2,mult(X3,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_27]), c_0_25]), c_0_11]), c_0_29]), c_0_35]), c_0_25]), c_0_11])). 77.22/77.51 cnf(c_0_46, plain, (mult(mult(ld(X1,X2),ld(X2,X1)),ld(X2,X1))=ld(X2,X1)), inference(spm,[status(thm)],[c_0_32, c_0_19])). 77.22/77.51 cnf(c_0_47, plain, (ld(ld(X1,X2),mult(ld(X2,X1),ld(X1,X2)))=ld(X2,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_32]), c_0_19])). 77.22/77.51 cnf(c_0_48, plain, (ld(mult(X1,X1),mult(X1,X1))=ld(X1,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_40]), c_0_41])). 77.22/77.51 cnf(c_0_49, plain, (mult(ld(X1,ld(X1,X1)),mult(X1,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_32]), c_0_10])). 77.22/77.51 cnf(c_0_50, plain, (ld(mult(rd(mult(X1,X2),X3),X2),X1)=rd(ld(X2,X3),X2)), inference(spm,[status(thm)],[c_0_16, c_0_44])). 77.22/77.51 cnf(c_0_51, plain, (mult(ld(ld(X1,X2),X3),ld(X2,X1))=mult(ld(X2,X1),mult(X3,ld(X2,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])). 77.22/77.51 cnf(c_0_52, plain, (ld(X1,mult(mult(X1,X1),X1))=mult(X1,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_48]), c_0_32])). 77.22/77.51 cnf(c_0_53, plain, (ld(ld(X1,ld(X1,X1)),X1)=mult(X1,X1)), inference(spm,[status(thm)],[c_0_11, c_0_49])). 77.22/77.51 cnf(c_0_54, plain, (ld(X1,ld(X1,X1))=ld(mult(X2,X1),X2)), inference(rw,[status(thm)],[c_0_18, c_0_43])). 77.22/77.51 cnf(c_0_55, plain, (ld(mult(rd(X1,X2),ld(X3,X1)),X3)=mult(ld(X1,X3),mult(X2,ld(X1,X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_10]), c_0_25]), c_0_51])). 77.22/77.51 cnf(c_0_56, plain, (mult(mult(X1,ld(X2,X3)),ld(X3,X2))=X1), inference(spm,[status(thm)],[c_0_10, c_0_22])). 77.22/77.51 cnf(c_0_57, plain, (mult(X1,ld(X2,ld(X2,X2)))=rd(X1,X2)), inference(spm,[status(thm)],[c_0_27, c_0_32])). 77.22/77.51 cnf(c_0_58, plain, (mult(mult(X1,X1),X1)=mult(X1,mult(X1,X1))), inference(spm,[status(thm)],[c_0_10, c_0_52])). 77.22/77.51 cnf(c_0_59, plain, (ld(ld(mult(X1,X2),X1),X2)=mult(X2,X2)), inference(spm,[status(thm)],[c_0_53, c_0_54])). 77.22/77.51 cnf(c_0_60, plain, (ld(X1,ld(X1,ld(X1,X1)))=ld(mult(X1,X1),ld(X1,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_49]), c_0_48])). 77.22/77.51 cnf(c_0_61, plain, (ld(mult(ld(X1,X1),ld(X2,X1)),X2)=mult(ld(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_41]), c_0_10])). 77.22/77.51 cnf(c_0_62, plain, (ld(mult(X1,ld(X2,X3)),mult(X4,ld(X3,X2)))=mult(ld(X3,X2),mult(ld(X1,X4),ld(X3,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_56])). 77.22/77.51 cnf(c_0_63, plain, (mult(ld(ld(X1,ld(X1,X1)),X2),X1)=mult(X1,mult(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_57]), c_0_25]), c_0_35]), c_0_29]), c_0_35]), c_0_25]), c_0_35])). 77.22/77.51 cnf(c_0_64, plain, (mult(rd(X1,X2),mult(X2,mult(X3,X2)))=mult(mult(X1,X3),X2)), inference(spm,[status(thm)],[c_0_9, c_0_24])). 77.22/77.51 cnf(c_0_65, plain, (mult(ld(mult(X1,X2),ld(X2,X2)),X2)=ld(X2,ld(X1,X2))), inference(spm,[status(thm)],[c_0_15, c_0_32])). 77.22/77.51 cnf(c_0_66, plain, (mult(ld(mult(X1,mult(X1,X1)),X1),X1)=ld(X1,ld(X1,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_48]), c_0_58])). 77.22/77.51 cnf(c_0_67, plain, (rd(ld(X1,ld(X1,X1)),X1)=ld(mult(X1,X1),ld(X1,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_57]), c_0_38]), c_0_57]), c_0_60])). 77.22/77.51 cnf(c_0_68, plain, (mult(ld(X1,rd(X1,X2)),X2)=ld(X2,X2)), inference(spm,[status(thm)],[c_0_17, c_0_24])). 77.22/77.51 cnf(c_0_69, plain, (ld(mult(ld(mult(X1,X2),mult(X1,X2)),X2),X1)=mult(ld(mult(X1,X2),X1),X1)), inference(spm,[status(thm)],[c_0_61, c_0_11])). 77.22/77.51 cnf(c_0_70, plain, (mult(mult(ld(X1,X2),mult(ld(X3,X4),ld(X1,X2))),ld(X2,X1))=ld(ld(X2,X1),ld(X3,X4))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_56]), c_0_62])). 77.22/77.51 cnf(c_0_71, plain, (ld(ld(X1,ld(X1,X1)),X2)=rd(mult(X1,mult(X2,X1)),X1)), inference(spm,[status(thm)],[c_0_16, c_0_63])). 77.22/77.51 cnf(c_0_72, plain, (mult(mult(X1,rd(X2,X3)),X3)=mult(rd(X1,X3),mult(X3,X2))), inference(spm,[status(thm)],[c_0_64, c_0_24])). 77.22/77.51 cnf(c_0_73, plain, (rd(ld(X1,ld(X2,X1)),X1)=ld(mult(X2,X1),ld(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_65])). 77.22/77.51 cnf(c_0_74, plain, (ld(mult(X1,X1),ld(X1,X1))=ld(mult(X1,mult(X1,X1)),X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_66]), c_0_67])). 77.22/77.51 cnf(c_0_75, plain, (rd(ld(X1,X1),X1)=ld(X2,rd(X2,X1))), inference(spm,[status(thm)],[c_0_16, c_0_68])). 77.22/77.51 cnf(c_0_76, plain, (ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2))))=X2), inference(spm,[status(thm)],[c_0_11, c_0_9])). 77.22/77.51 cnf(c_0_77, plain, (ld(ld(ld(X1,X1),ld(X2,X2)),X2)=mult(ld(X1,X1),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_62]), c_0_70]), c_0_22])). 77.22/77.51 cnf(c_0_78, plain, (mult(ld(mult(X1,mult(X1,X1)),X1),mult(X1,X2))=ld(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_71]), c_0_19]), c_0_35]), c_0_10]), c_0_32]), c_0_16]), c_0_57]), c_0_25]), c_0_35]), c_0_72]), c_0_73]), c_0_74])). 77.22/77.51 cnf(c_0_79, plain, (ld(X1,ld(X1,X1))=ld(X2,rd(X2,X1))), inference(rw,[status(thm)],[c_0_75, c_0_43])). 77.22/77.51 cnf(c_0_80, plain, (mult(ld(X1,ld(X1,X1)),rd(X2,X1))=rd(ld(X1,X2),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_45]), c_0_57]), c_0_57]), c_0_38])). 77.22/77.51 cnf(c_0_81, plain, (ld(mult(mult(ld(mult(X1,mult(X2,X1)),mult(X1,mult(X2,X1))),X1),X2),mult(X1,mult(X2,X1)))=X1), inference(spm,[status(thm)],[c_0_76, c_0_32])). 77.22/77.51 cnf(c_0_82, plain, (mult(mult(X1,ld(X2,X3)),mult(ld(X3,X2),mult(X4,ld(X3,X2))))=mult(mult(X1,X4),ld(X3,X2))), inference(spm,[status(thm)],[c_0_9, c_0_56])). 77.22/77.51 cnf(c_0_83, plain, (mult(mult(X1,mult(X2,ld(X3,X4))),ld(X4,X3))=mult(mult(X1,ld(X3,X4)),mult(ld(X4,X3),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_56]), c_0_25])). 77.22/77.51 cnf(c_0_84, plain, (mult(ld(ld(X1,X1),ld(X2,X2)),mult(ld(X1,X1),X2))=X2), inference(spm,[status(thm)],[c_0_10, c_0_77])). 77.22/77.51 cnf(c_0_85, plain, (mult(ld(ld(X1,X1),ld(mult(X2,X1),X2)),X1)=ld(X1,X1)), inference(spm,[status(thm)],[c_0_17, c_0_17])). 77.22/77.51 cnf(c_0_86, plain, (mult(ld(mult(X1,mult(X1,X1)),X1),X2)=ld(X1,ld(X1,X2))), inference(spm,[status(thm)],[c_0_78, c_0_10])). 77.22/77.51 cnf(c_0_87, plain, (ld(mult(X1,X2),X1)=ld(mult(X3,X2),X3)), inference(spm,[status(thm)],[c_0_18, c_0_18])). 77.22/77.51 cnf(c_0_88, plain, (mult(ld(mult(X1,X2),X1),mult(X2,X2))=X2), inference(spm,[status(thm)],[c_0_49, c_0_54])). 77.22/77.51 cnf(c_0_89, plain, (ld(ld(X1,rd(X1,X2)),X2)=mult(X2,X2)), inference(spm,[status(thm)],[c_0_53, c_0_79])). 77.22/77.51 cnf(c_0_90, plain, (rd(ld(X1,mult(X2,X1)),X1)=mult(ld(X1,ld(X1,X1)),X2)), inference(spm,[status(thm)],[c_0_80, c_0_16])). 77.22/77.51 fof(c_0_91, negated_conjecture, ~(![X3, X4]:(mult(X3,ld(X4,X4))=X3&X3=mult(ld(X4,X4),X3))), inference(assume_negation,[status(cth)],[goals])). 77.22/77.51 cnf(c_0_92, plain, (ld(X1,mult(mult(X1,X1),ld(X2,X2)))=mult(X1,ld(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_62]), c_0_48]), c_0_83]), c_0_70]), c_0_84])). 77.22/77.51 cnf(c_0_93, plain, (mult(ld(X1,X2),ld(X2,X1))=mult(ld(X2,X1),ld(X1,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_32]), c_0_19])). 77.22/77.51 cnf(c_0_94, plain, (mult(ld(X1,X1),ld(X1,X1))=ld(X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_37]), c_0_15]), c_0_56]), c_0_37]), c_0_17])). 77.22/77.51 cnf(c_0_95, plain, (mult(ld(mult(X1,mult(X2,X2)),X1),X3)=ld(X2,ld(X2,X3))), inference(spm,[status(thm)],[c_0_86, c_0_87])). 77.22/77.51 cnf(c_0_96, plain, (mult(ld(X1,X2),mult(ld(X2,X1),ld(X2,X1)))=ld(X2,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_56]), c_0_11])). 77.22/77.51 cnf(c_0_97, plain, (ld(ld(X1,X2),ld(X2,X1))=mult(ld(X2,X1),ld(X2,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_25]), c_0_11])). 77.22/77.51 cnf(c_0_98, plain, (mult(mult(ld(X1,ld(X1,X1)),X2),X1)=ld(X1,mult(X2,X1))), inference(spm,[status(thm)],[c_0_24, c_0_90])). 77.22/77.51 cnf(c_0_99, plain, (ld(ld(mult(X1,X2),X1),ld(X2,X2))=X2), inference(spm,[status(thm)],[c_0_11, c_0_17])). 77.22/77.51 fof(c_0_100, negated_conjecture, (mult(esk1_0,ld(esk2_0,esk2_0))!=esk1_0|esk1_0!=mult(ld(esk2_0,esk2_0),esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])). 77.22/77.51 cnf(c_0_101, plain, (ld(ld(X1,X1),ld(mult(X2,X1),X2))=ld(X1,ld(X1,X1))), inference(spm,[status(thm)],[c_0_54, c_0_17])). 77.22/77.51 cnf(c_0_102, plain, (mult(ld(X1,X1),ld(X2,X2))=ld(X2,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_94]), c_0_11])). 77.22/77.51 cnf(c_0_103, plain, (ld(ld(X1,X2),ld(ld(X1,X2),X3))=mult(mult(ld(X2,X1),ld(X2,X1)),X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_97])). 77.22/77.51 cnf(c_0_104, plain, (ld(ld(mult(X1,X2),X1),rd(X3,X2))=rd(mult(X2,X3),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_98]), c_0_27]), c_0_19]), c_0_11]), c_0_27]), c_0_41]), c_0_99])). 77.22/77.51 cnf(c_0_105, negated_conjecture, (mult(esk1_0,ld(esk2_0,esk2_0))!=esk1_0|esk1_0!=mult(ld(esk2_0,esk2_0),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_100])). 77.22/77.51 cnf(c_0_106, plain, (ld(X1,X1)=ld(X2,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_19]), c_0_102]), c_0_103]), c_0_102]), c_0_102]), c_0_19]), c_0_102]), c_0_19]), c_0_102])). 77.22/77.51 cnf(c_0_107, plain, (ld(ld(mult(X1,X2),X1),mult(ld(X2,ld(X2,X2)),X3))=X3), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_90]), c_0_10]), c_0_16])). 77.22/77.51 cnf(c_0_108, plain, (mult(X1,mult(ld(X2,rd(X3,X1)),X1))=ld(rd(X2,X1),X3)), inference(spm,[status(thm)],[c_0_29, c_0_24])). 77.22/77.51 cnf(c_0_109, negated_conjecture, (mult(ld(X1,X1),esk1_0)!=esk1_0|mult(esk1_0,ld(X1,X1))!=esk1_0), inference(spm,[status(thm)],[c_0_105, c_0_106])). 77.22/77.51 cnf(c_0_110, plain, (ld(ld(mult(X1,X2),X1),ld(mult(X3,X2),X4))=rd(ld(X3,mult(X4,X2)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_25]), c_0_35]), c_0_25]), c_0_35]), c_0_57])). 77.22/77.51 cnf(c_0_111, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_45]), c_0_17]), c_0_10]), c_0_110]), c_0_11]), c_0_41]), c_0_10])]), ['proof']). 77.22/77.51 # SZS output end CNFRefutation 77.22/77.51 # Proof object total steps : 112 77.22/77.51 # Proof object clause steps : 99 77.22/77.51 # Proof object formula steps : 13 77.22/77.51 # Proof object conjectures : 6 77.22/77.51 # Proof object clause conjectures : 3 77.22/77.51 # Proof object formula conjectures : 3 77.22/77.51 # Proof object initial clauses used : 6 77.22/77.51 # Proof object initial formulas used : 6 77.22/77.51 # Proof object generating inferences : 90 77.22/77.51 # Proof object simplifying inferences : 105 77.22/77.51 # Training examples: 0 positive, 0 negative 77.22/77.51 # Parsed axioms : 6 77.22/77.51 # Removed by relevancy pruning/SinE : 0 77.22/77.51 # Initial clauses : 6 77.22/77.51 # Removed in clause preprocessing : 0 77.22/77.51 # Initial clauses in saturation : 6 77.22/77.51 # Processed clauses : 5665 77.22/77.51 # ...of these trivial : 2174 77.22/77.51 # ...subsumed : 2619 77.22/77.51 # ...remaining for further processing : 872 77.22/77.51 # Other redundant clauses eliminated : 0 77.22/77.51 # Clauses deleted for lack of memory : 0 77.22/77.51 # Backward-subsumed : 4 77.22/77.51 # Backward-rewritten : 173 77.22/77.51 # Generated clauses : 594172 77.22/77.51 # ...of the previous two non-trivial : 523020 77.22/77.51 # Contextual simplify-reflections : 0 77.22/77.51 # Paramodulations : 594172 77.22/77.51 # Factorizations : 0 77.22/77.51 # Equation resolutions : 0 77.22/77.51 # Propositional unsat checks : 0 77.22/77.51 # Propositional check models : 0 77.22/77.51 # Propositional check unsatisfiable : 0 77.22/77.51 # Propositional clauses : 0 77.22/77.51 # Propositional clauses after purity: 0 77.22/77.51 # Propositional unsat core size : 0 77.22/77.51 # Propositional preprocessing time : 0.000 77.22/77.51 # Propositional encoding time : 0.000 77.22/77.51 # Propositional solver time : 0.000 77.22/77.51 # Success case prop preproc time : 0.000 77.22/77.51 # Success case prop encoding time : 0.000 77.22/77.51 # Success case prop solver time : 0.000 77.22/77.51 # Current number of processed clauses : 689 77.22/77.51 # Positive orientable unit clauses : 647 77.22/77.51 # Positive unorientable unit clauses: 41 77.22/77.51 # Negative unit clauses : 0 77.22/77.51 # Non-unit-clauses : 1 77.22/77.51 # Current number of unprocessed clauses: 516123 77.22/77.51 # ...number of literals in the above : 516124 77.22/77.51 # Current number of archived formulas : 0 77.22/77.51 # Current number of archived clauses : 183 77.22/77.51 # Clause-clause subsumption calls (NU) : 1 77.22/77.51 # Rec. Clause-clause subsumption calls : 1 77.22/77.51 # Non-unit clause-clause subsumptions : 1 77.22/77.51 # Unit Clause-clause subsumption calls : 1331 77.22/77.51 # Rewrite failures with RHS unbound : 3500 77.22/77.51 # BW rewrite match attempts : 10930 77.22/77.51 # BW rewrite match successes : 586 77.22/77.51 # Condensation attempts : 0 77.22/77.51 # Condensation successes : 0 77.22/77.51 # Termbank termtop insertions : 21862761 77.31/77.59 77.31/77.59 # ------------------------------------------------- 77.31/77.59 # User time : 73.873 s 77.31/77.59 # System time : 3.395 s 77.31/77.59 # Total time : 77.268 s 77.31/77.59 # Maximum resident set size: 1556 pages 77.31/77.59 EOF