0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : run_E %s %d THM 0.11/0.32 % Computer : n003.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 05:48:06 EDT 2022 0.11/0.32 % CPUTime : 0.17/0.44 Running higher-order on 8 cores theorem proving 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.44 # Version: 3.0pre003-ho 1.68/0.65 # Preprocessing class: HSSSSMSSMSSNHHN. 1.68/0.65 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 1.68/0.65 # Starting pre_casc_2 with 600s (5) cores 1.68/0.65 # Starting sh2 with 120s (1) cores 1.68/0.65 # Starting sh3 with 120s (1) cores 1.68/0.65 # Starting new_ho_10 with 120s (1) cores 1.68/0.65 # pre_casc_2 with pid 28775 completed with status 0 1.68/0.65 # Result found by pre_casc_2 1.68/0.65 # Preprocessing class: HSSSSMSSMSSNHHN. 1.68/0.65 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 1.68/0.65 # Starting pre_casc_2 with 600s (5) cores 1.68/0.65 # No SInE strategy applied 1.68/0.65 # Search class: HUUPM-FFSF32-DHHSFMNN 1.68/0.65 # Scheduled 5 strats onto 5 cores with 600 seconds (600 total) 1.68/0.65 # Starting pre_casc_2 with 361s (1) cores 1.68/0.65 # Starting sh2 with 61s (1) cores 1.68/0.65 # Starting sh3 with 61s (1) cores 1.68/0.65 # Starting sh9 with 61s (1) cores 1.68/0.65 # Starting new_ho_10 with 56s (1) cores 1.68/0.65 # sh2 with pid 28782 completed with status 0 1.68/0.65 # Result found by sh2 1.68/0.65 # Preprocessing class: HSSSSMSSMSSNHHN. 1.68/0.65 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 1.68/0.65 # Starting pre_casc_2 with 600s (5) cores 1.68/0.65 # No SInE strategy applied 1.68/0.65 # Search class: HUUPM-FFSF32-DHHSFMNN 1.68/0.65 # Scheduled 5 strats onto 5 cores with 600 seconds (600 total) 1.68/0.65 # Starting pre_casc_2 with 361s (1) cores 1.68/0.65 # Starting sh2 with 61s (1) cores 1.68/0.65 # Preprocessing time : 0.001 s 1.68/0.65 # Presaturation interreduction done 1.68/0.65 1.68/0.65 # Proof found! 1.68/0.65 # SZS status Theorem 1.68/0.65 # SZS output start CNFRefutation 1.68/0.65 thf(decl_22, type, zero: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_23, type, one: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_24, type, two: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_25, type, three: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_26, type, four: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_27, type, five: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_28, type, six: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_29, type, seven: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_30, type, eight: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_31, type, nine: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_32, type, ten: ($i > $i) > $i > $i). 1.68/0.65 thf(decl_33, type, succ: (($i > $i) > $i > $i) > ($i > $i) > $i > $i). 1.68/0.65 thf(decl_34, type, plus: (($i > $i) > $i > $i) > (($i > $i) > $i > $i) > ($i > $i) > $i > $i). 1.68/0.65 thf(decl_35, type, mult: (($i > $i) > $i > $i) > (($i > $i) > $i > $i) > ($i > $i) > $i > $i). 1.68/0.66 thf(decl_36, type, esk1_1: $i > $i). 1.68/0.66 thf(decl_37, type, esk2_0: $i). 1.68/0.66 thf(decl_38, type, esk3_1: $i > $i). 1.68/0.66 thf(decl_39, type, esk4_0: $i). 1.68/0.66 thf(decl_40, type, esk5_1: $i > $i). 1.68/0.66 thf(decl_41, type, esk6_0: $i). 1.68/0.66 thf(decl_42, type, esk7_0: $i). 1.68/0.66 thf(decl_43, type, esk8_1: $i > $i). 1.68/0.66 thf(decl_44, type, esk9_0: $i). 1.68/0.66 thf(decl_45, type, esk10_0: $i). 1.68/0.66 thf(decl_46, type, esk11_1: $i > $i). 1.68/0.66 thf(decl_47, type, esk12_0: $i). 1.68/0.66 thf(decl_48, type, esk13_1: $i > $i). 1.68/0.66 thf(decl_49, type, esk14_0: $i). 1.68/0.66 thf(decl_50, type, esk15_1: $i > $i). 1.68/0.66 thf(decl_51, type, esk16_0: $i). 1.68/0.66 thf(decl_52, type, esk17_0: $i). 1.68/0.66 thf(decl_53, type, esk18_0: $i). 1.68/0.66 thf(decl_54, type, esk19_0: $i). 1.68/0.66 thf(decl_55, type, esk20_0: $i). 1.68/0.66 thf(decl_56, type, esk21_0: $i). 1.68/0.66 thf(decl_57, type, esk22_1: $i > $i). 1.68/0.66 thf(decl_58, type, esk23_0: $i). 1.68/0.66 thf(decl_59, type, esk24_1: $i > $i). 1.68/0.66 thf(decl_60, type, esk25_0: $i). 1.68/0.66 thf(decl_61, type, esk26_0: $i). 1.68/0.66 thf(decl_62, type, esk27_0: $i). 1.68/0.66 thf(decl_63, type, esk28_0: $i). 1.68/0.66 thf(decl_64, type, esk29_0: $i). 1.68/0.66 thf(decl_65, type, esk30_0: $i). 1.68/0.66 thf(decl_66, type, esk31_0: $i). 1.68/0.66 thf(decl_67, type, esk32_0: $i). 1.68/0.66 thf(decl_68, type, esk33_0: $i). 1.68/0.66 thf(decl_69, type, esk34_0: $i). 1.68/0.66 thf(decl_70, type, esk35_0: $i). 1.68/0.66 thf(decl_71, type, esk36_1: $i > $i). 1.68/0.66 thf(decl_72, type, esk37_0: $i). 1.68/0.66 thf(decl_73, type, esk38_1: $i > $i). 1.68/0.66 thf(decl_74, type, esk39_0: $i). 1.68/0.66 thf(decl_75, type, esk40_0: $i). 1.68/0.66 thf(decl_76, type, esk41_0: $i). 1.68/0.66 thf(decl_77, type, esk42_0: $i). 1.68/0.66 thf(decl_78, type, esk43_0: $i). 1.68/0.66 thf(decl_79, type, esk44_0: $i). 1.68/0.66 thf(decl_80, type, esk45_0: $i). 1.68/0.66 thf(decl_81, type, esk46_0: $i). 1.68/0.66 thf(decl_82, type, esk47_0: $i). 1.68/0.66 thf(decl_83, type, esk48_1: $i > $i). 1.68/0.66 thf(decl_84, type, esk49_0: $i). 1.68/0.66 thf(decl_85, type, esk50_1: $i > $i). 1.68/0.66 thf(decl_86, type, esk51_0: $i). 1.68/0.66 thf(decl_87, type, esk52_0: $i). 1.68/0.66 thf(decl_88, type, esk53_0: $i). 1.68/0.66 thf(decl_89, type, esk54_0: $i). 1.68/0.66 thf(decl_90, type, esk55_0: $i). 1.68/0.66 thf(decl_91, type, esk56_0: $i). 1.68/0.66 thf(decl_92, type, esk57_0: $i). 1.68/0.66 thf(decl_93, type, esk58_0: $i). 1.68/0.66 thf(decl_94, type, esk59_0: $i). 1.68/0.66 thf(decl_95, type, esk60_0: $i). 1.68/0.66 thf(four_ax, axiom, ((four)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ X2)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', four_ax)). 1.68/0.66 thf(three_ax, axiom, ((three)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', three_ax)). 1.68/0.66 thf(five_ax, axiom, ((five)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', five_ax)). 1.68/0.66 thf(two_ax, axiom, ((two)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', two_ax)). 1.68/0.66 thf(succ_ax, axiom, ((succ)=(^[X3:($i > $i) > $i > $i, X1:$i > $i, X2:$i]:(X1 @ (X3 @ X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', succ_ax)). 1.68/0.66 thf(six_ax, axiom, ((six)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', six_ax)). 1.68/0.66 thf(seven_ax, axiom, ((seven)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', seven_ax)). 1.68/0.66 thf(eight_ax, axiom, ((eight)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', eight_ax)). 1.68/0.66 thf(nine_ax, axiom, ((nine)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', nine_ax)). 1.68/0.66 thf(ten_ax, axiom, ((ten)=(^[X1:$i > $i, X2:$i]:(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', ten_ax)). 1.68/0.66 thf(mult_ax, axiom, ((mult)=(^[X4:($i > $i) > $i > $i, X3:($i > $i) > $i > $i, X1:$i > $i, X2:$i]:(X4 @ (X3 @ X1) @ X2))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', mult_ax)). 1.68/0.66 thf(thm, conjecture, ((mult @ ten @ (mult @ ten @ ten))=(mult @ (plus @ ten @ ten) @ (mult @ five @ ten))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)). 1.68/0.66 thf(plus_ax, axiom, ((plus)=(^[X4:($i > $i) > $i > $i, X3:($i > $i) > $i > $i, X1:$i > $i, X2:$i]:(X4 @ X1 @ (X3 @ X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax', plus_ax)). 1.68/0.66 thf(c_0_13, plain, ![X13:$i > $i, X14:$i]:(((four @ X13 @ X14)=(X13 @ (X13 @ (X13 @ (X13 @ X14)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[four_ax])])). 1.68/0.66 thf(c_0_14, plain, ![X11:$i > $i, X12:$i]:(((three @ X11 @ X12)=(X11 @ (X11 @ (X11 @ X12))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[three_ax])])). 1.68/0.66 thf(c_0_15, plain, ![X15:$i > $i, X16:$i]:(((five @ X15 @ X16)=(X15 @ (X15 @ (X15 @ (X15 @ (X15 @ X16))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[five_ax])])). 1.68/0.66 thf(c_0_16, plain, ![X46:$i > $i, X47:$i]:(((four @ X46 @ X47)=(X46 @ (X46 @ (X46 @ (X46 @ X47)))))), inference(variable_rename,[status(thm)],[c_0_13])). 1.68/0.66 thf(c_0_17, plain, ![X44:$i > $i, X45:$i]:(((three @ X44 @ X45)=(X44 @ (X44 @ (X44 @ X45))))), inference(variable_rename,[status(thm)],[c_0_14])). 1.68/0.66 thf(c_0_18, plain, ![X9:$i > $i, X10:$i]:(((two @ X9 @ X10)=(X9 @ (X9 @ X10)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[two_ax])])). 1.68/0.66 thf(c_0_19, plain, ![X27:($i > $i) > $i > $i, X28:$i > $i, X29:$i]:(((succ @ X27 @ X28 @ X29)=(X28 @ (X27 @ X28 @ X29)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[succ_ax])])). 1.68/0.66 thf(c_0_20, plain, ![X48:$i > $i, X49:$i]:(((five @ X48 @ X49)=(X48 @ (X48 @ (X48 @ (X48 @ (X48 @ X49))))))), inference(variable_rename,[status(thm)],[c_0_15])). 1.68/0.66 thf(c_0_21, plain, ![X1:$i > $i, X2:$i]:(((four @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ X2)))))), inference(split_conjunct,[status(thm)],[c_0_16])). 1.68/0.66 thf(c_0_22, plain, ![X1:$i > $i, X2:$i]:(((three @ X1 @ X2)=(X1 @ (X1 @ (X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_17])). 1.68/0.66 thf(c_0_23, plain, ![X42:$i > $i, X43:$i]:(((two @ X42 @ X43)=(X42 @ (X42 @ X43)))), inference(variable_rename,[status(thm)],[c_0_18])). 1.68/0.66 thf(c_0_24, plain, ![X60:($i > $i) > $i > $i, X61:$i > $i, X62:$i]:(((succ @ X60 @ X61 @ X62)=(X61 @ (X60 @ X61 @ X62)))), inference(variable_rename,[status(thm)],[c_0_19])). 1.68/0.66 thf(c_0_25, plain, ![X17:$i > $i, X18:$i]:(((six @ X17 @ X18)=(X17 @ (X17 @ (X17 @ (X17 @ (X17 @ (X17 @ X18)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[six_ax])])). 1.68/0.66 thf(c_0_26, plain, ![X1:$i > $i, X2:$i]:(((five @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))), inference(split_conjunct,[status(thm)],[c_0_20])). 1.68/0.66 thf(c_0_27, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (three @ X1 @ X2))=(four @ X1 @ X2))), inference(rw,[status(thm)],[c_0_21, c_0_22])). 1.68/0.66 thf(c_0_28, plain, ![X1:$i > $i, X2:$i]:(((two @ X1 @ X2)=(X1 @ (X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])). 1.68/0.66 thf(c_0_29, plain, ![X1:$i > $i, X3:($i > $i) > $i > $i, X2:$i]:(((succ @ X3 @ X1 @ X2)=(X1 @ (X3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.68/0.66 thf(c_0_30, plain, ![X19:$i > $i, X20:$i]:(((seven @ X19 @ X20)=(X19 @ (X19 @ (X19 @ (X19 @ (X19 @ (X19 @ (X19 @ X20))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[seven_ax])])). 1.68/0.66 thf(c_0_31, plain, ![X50:$i > $i, X51:$i]:(((six @ X50 @ X51)=(X50 @ (X50 @ (X50 @ (X50 @ (X50 @ (X50 @ X51)))))))), inference(variable_rename,[status(thm)],[c_0_25])). 1.68/0.66 thf(c_0_32, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (four @ X1 @ X2))=(five @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_22]), c_0_27])). 1.68/0.66 thf(c_0_33, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (X1 @ (two @ X1 @ X2)))=(two @ (two @ X1) @ X2))), inference(spm,[status(thm)],[c_0_28, c_0_28])). 1.68/0.66 thf(c_0_34, plain, ![X1:$i > $i, X2:$i]:(((succ @ two @ X1 @ X2)=(three @ X1 @ X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_28]), c_0_22])). 1.68/0.66 thf(c_0_35, plain, ![X21:$i > $i, X22:$i]:(((eight @ X21 @ X22)=(X21 @ (X21 @ (X21 @ (X21 @ (X21 @ (X21 @ (X21 @ (X21 @ X22)))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[eight_ax])])). 1.68/0.66 thf(c_0_36, plain, ![X52:$i > $i, X53:$i]:(((seven @ X52 @ X53)=(X52 @ (X52 @ (X52 @ (X52 @ (X52 @ (X52 @ (X52 @ X53))))))))), inference(variable_rename,[status(thm)],[c_0_30])). 1.68/0.66 thf(c_0_37, plain, ![X1:$i > $i, X2:$i]:(((six @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))), inference(split_conjunct,[status(thm)],[c_0_31])). 1.68/0.66 thf(c_0_38, plain, ![X1:$i > $i, X2:$i]:(((three @ X1 @ (X1 @ (X1 @ X2)))=(five @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_22]), c_0_27]), c_0_32])). 1.68/0.66 thf(c_0_39, plain, ![X1:$i > $i, X2:$i]:(((three @ X1 @ (X1 @ X2))=(two @ (two @ X1) @ X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_28]), c_0_33])). 1.68/0.66 thf(c_0_40, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (two @ X1 @ X2))=(three @ X1 @ X2))), inference(spm,[status(thm)],[c_0_29, c_0_34])). 1.68/0.66 thf(c_0_41, plain, ![X54:$i > $i, X55:$i]:(((eight @ X54 @ X55)=(X54 @ (X54 @ (X54 @ (X54 @ (X54 @ (X54 @ (X54 @ (X54 @ X55)))))))))), inference(variable_rename,[status(thm)],[c_0_35])). 1.68/0.66 thf(c_0_42, plain, ![X1:$i > $i, X2:$i]:(((seven @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))))), inference(split_conjunct,[status(thm)],[c_0_36])). 1.68/0.66 thf(c_0_43, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (five @ X1 @ X2))=(six @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_22]), c_0_27]), c_0_32])). 1.68/0.66 thf(c_0_44, plain, ![X1:$i > $i, X2:$i]:(((two @ (two @ X1) @ (X1 @ X2))=(five @ X1 @ X2))), inference(rw,[status(thm)],[c_0_38, c_0_39])). 1.68/0.66 thf(c_0_45, plain, ![X1:$i > $i, X2:$i]:(((two @ (two @ X1) @ X2)=(four @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_40]), c_0_27])). 1.68/0.66 thf(c_0_46, plain, ![X1:$i > $i, X2:$i]:(((eight @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))))), inference(split_conjunct,[status(thm)],[c_0_41])). 1.68/0.66 thf(c_0_47, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (six @ X1 @ X2))=(seven @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_22]), c_0_27]), c_0_32]), c_0_43])). 1.68/0.66 thf(c_0_48, plain, ![X1:$i > $i, X2:$i]:(((four @ X1 @ (X1 @ X2))=(five @ X1 @ X2))), inference(rw,[status(thm)],[c_0_44, c_0_45])). 1.68/0.66 thf(c_0_49, plain, ![X1:$i > $i, X2:$i]:(((succ @ four @ X1 @ X2)=(five @ X1 @ X2))), inference(spm,[status(thm)],[c_0_32, c_0_29])). 1.68/0.66 thf(c_0_50, plain, ![X23:$i > $i, X24:$i]:(((nine @ X23 @ X24)=(X23 @ (X23 @ (X23 @ (X23 @ (X23 @ (X23 @ (X23 @ (X23 @ (X23 @ X24))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[nine_ax])])). 1.68/0.66 thf(c_0_51, plain, ![X1:$i > $i, X2:$i]:(((three @ (two @ X1) @ X2)=(six @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_28]), c_0_28]), c_0_45]), c_0_32]), c_0_43])). 1.68/0.66 thf(c_0_52, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (seven @ X1 @ X2))=(eight @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_22]), c_0_27]), c_0_32]), c_0_43]), c_0_47])). 1.68/0.66 thf(c_0_53, plain, ![X1:$i > $i]:(((two @ (two @ X1))=(four @ X1))), inference(pos_ext,[status(thm)],[c_0_45])). 1.68/0.66 thf(c_0_54, plain, ![X1:$i > $i, X2:$i]:(((five @ X1 @ (X1 @ X2))=(six @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_48]), c_0_49]), c_0_43])). 1.68/0.66 thf(c_0_55, plain, ![X1:$i > $i, X2:$i]:(((succ @ five @ X1 @ X2)=(six @ X1 @ X2))), inference(spm,[status(thm)],[c_0_43, c_0_29])). 1.68/0.66 thf(c_0_56, plain, ![X56:$i > $i, X57:$i]:(((nine @ X56 @ X57)=(X56 @ (X56 @ (X56 @ (X56 @ (X56 @ (X56 @ (X56 @ (X56 @ (X56 @ X57))))))))))), inference(variable_rename,[status(thm)],[c_0_50])). 1.68/0.66 thf(c_0_57, plain, ![X25:$i > $i, X26:$i]:(((ten @ X25 @ X26)=(X25 @ (X25 @ (X25 @ (X25 @ (X25 @ (X25 @ (X25 @ (X25 @ (X25 @ (X25 @ X26)))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ten_ax])])). 1.68/0.66 thf(c_0_58, plain, ![X1:$i > $i, X2:$i]:(((four @ (two @ X1) @ X2)=(eight @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_27]), c_0_51]), c_0_47]), c_0_52])). 1.68/0.66 thf(c_0_59, plain, ![X1:$i > $i]:(((four @ (two @ X1))=(two @ (four @ X1)))), inference(spm,[status(thm)],[c_0_53, c_0_53])). 1.68/0.66 thf(c_0_60, plain, ![X1:$i > $i, X2:$i]:(((six @ X1 @ (X1 @ X2))=(seven @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_54]), c_0_55]), c_0_47])). 1.68/0.66 thf(c_0_61, plain, ![X1:$i > $i, X2:$i]:(((succ @ six @ X1 @ X2)=(seven @ X1 @ X2))), inference(spm,[status(thm)],[c_0_29, c_0_47])). 1.68/0.66 thf(c_0_62, plain, ![X1:$i > $i, X2:$i]:(((nine @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2))))))))))), inference(split_conjunct,[status(thm)],[c_0_56])). 1.68/0.66 thf(c_0_63, plain, ![X58:$i > $i, X59:$i]:(((ten @ X58 @ X59)=(X58 @ (X58 @ (X58 @ (X58 @ (X58 @ (X58 @ (X58 @ (X58 @ (X58 @ (X58 @ X59)))))))))))), inference(variable_rename,[status(thm)],[c_0_57])). 1.68/0.66 thf(c_0_64, plain, ![X34:($i > $i) > $i > $i, X35:($i > $i) > $i > $i, X36:$i > $i, X37:$i]:(((mult @ X34 @ X35 @ X36 @ X37)=(X34 @ (X35 @ X36) @ X37))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[mult_ax])])). 1.68/0.66 thf(c_0_65, plain, ![X1:$i > $i]:(((two @ (four @ X1))=(eight @ X1))), inference(rw,[status(thm)],[inference(pos_ext,[status(thm)],[c_0_58]), c_0_59])). 1.68/0.66 thf(c_0_66, plain, ![X1:$i > $i, X2:$i]:(((seven @ X1 @ (X1 @ X2))=(eight @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_60]), c_0_61]), c_0_52])). 1.68/0.66 thf(c_0_67, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (eight @ X1 @ X2))=(nine @ 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)],[c_0_62, c_0_22]), c_0_27]), c_0_32]), c_0_43]), c_0_47]), c_0_52])). 1.68/0.66 thf(c_0_68, plain, ![X1:$i > $i, X2:$i]:(((ten @ X1 @ X2)=(X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X2)))))))))))), inference(split_conjunct,[status(thm)],[c_0_63])). 1.68/0.66 thf(c_0_69, negated_conjecture, ((mult @ ten @ (mult @ ten @ ten))!=(mult @ (plus @ ten @ ten) @ (mult @ five @ ten))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm])])). 1.68/0.66 thf(c_0_70, plain, ![X67:($i > $i) > $i > $i, X68:($i > $i) > $i > $i, X69:$i > $i, X70:$i]:(((mult @ X67 @ X68 @ X69 @ X70)=(X67 @ (X68 @ X69) @ X70))), inference(variable_rename,[status(thm)],[c_0_64])). 1.68/0.66 thf(c_0_71, plain, ![X1:$i > $i, X2:$i]:(((two @ (four @ X1) @ X2)=(eight @ X1 @ X2))), inference(arg_cong,[status(thm)],[c_0_65])). 1.68/0.66 thf(c_0_72, plain, ![X1:$i > $i, X2:$i]:(((eight @ X1 @ (X1 @ X2))=(nine @ X1 @ X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_66]), c_0_67])). 1.68/0.66 thf(c_0_73, plain, ![X1:$i > $i, X2:$i]:(((X1 @ (nine @ X1 @ X2))=(ten @ 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)],[c_0_68, c_0_22]), c_0_27]), c_0_32]), c_0_43]), c_0_47]), c_0_52]), c_0_67])). 1.68/0.66 thf(c_0_74, negated_conjecture, ((mult @ ten @ (mult @ ten @ ten))!=(mult @ (plus @ ten @ ten) @ (mult @ five @ ten))), inference(split_conjunct,[status(thm)],[c_0_69])). 1.68/0.66 thf(c_0_75, plain, ![X1:$i > $i, X4:($i > $i) > $i > $i, X3:($i > $i) > $i > $i, X2:$i]:(((mult @ X3 @ X4 @ X1 @ X2)=(X3 @ (X4 @ X1) @ X2))), inference(split_conjunct,[status(thm)],[c_0_70])). 1.68/0.66 thf(c_0_76, plain, ![X30:($i > $i) > $i > $i, X31:($i > $i) > $i > $i, X32:$i > $i, X33:$i]:(((plus @ X30 @ X31 @ X32 @ X33)=(X30 @ X32 @ (X31 @ X32 @ X33)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[plus_ax])])). 1.68/0.66 thf(c_0_77, plain, ![X1:$i > $i, X2:$i]:(((five @ X1 @ (four @ X1 @ X2))=(nine @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_28]), c_0_71]), c_0_67])). 1.68/0.66 thf(c_0_78, plain, ![X1:$i > $i, X2:$i]:(((nine @ X1 @ (X1 @ X2))=(ten @ X1 @ X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_72]), c_0_73])). 1.68/0.66 thf(c_0_79, negated_conjecture, ((mult @ (plus @ ten @ ten) @ (mult @ five @ ten) @ esk1_1)!=(mult @ ten @ (mult @ ten @ ten) @ esk1_1)), inference(neg_ext,[status(thm)],[c_0_74])). 1.68/0.66 thf(c_0_80, plain, ![X4:($i > $i) > $i > $i, X3:($i > $i) > $i > $i, X1:$i > $i]:(((mult @ X3 @ X4 @ X1)=(X3 @ (X4 @ X1)))), inference(pos_ext,[status(thm)],[c_0_75])). 1.68/0.66 thf(c_0_81, plain, ![X63:($i > $i) > $i > $i, X64:($i > $i) > $i > $i, X65:$i > $i, X66:$i]:(((plus @ X63 @ X64 @ X65 @ X66)=(X63 @ X65 @ (X64 @ X65 @ X66)))), inference(variable_rename,[status(thm)],[c_0_76])). 1.68/0.66 thf(c_0_82, plain, ![X1:$i > $i, X2:$i]:(((five @ (two @ X1) @ X2)=(ten @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_32]), c_0_58]), c_0_67]), c_0_73])). 1.68/0.66 thf(c_0_83, plain, ![X1:$i > $i, X2:$i]:(((two @ (five @ X1) @ X2)=(ten @ X1 @ X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_48]), c_0_78]), c_0_28])). 1.68/0.66 thf(c_0_84, negated_conjecture, ((plus @ ten @ ten @ (five @ (ten @ esk1_1)))!=(ten @ (ten @ (ten @ esk1_1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80]), c_0_80]), c_0_80]), c_0_80])). 1.68/0.66 thf(c_0_85, plain, ![X1:$i > $i, X3:($i > $i) > $i > $i, X4:($i > $i) > $i > $i, X2:$i]:(((plus @ X3 @ X4 @ X1 @ X2)=(X3 @ X1 @ (X4 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_81])). 1.68/0.66 thf(c_0_86, plain, ![X1:$i > $i]:(((five @ (two @ X1))=(ten @ X1))), inference(pos_ext,[status(thm)],[c_0_82])). 1.68/0.66 thf(c_0_87, plain, ![X1:$i > $i]:(((two @ (five @ X1))=(ten @ X1))), inference(pos_ext,[status(thm)],[c_0_83])). 1.68/0.66 thf(c_0_88, negated_conjecture, ((plus @ ten @ ten @ (five @ (ten @ esk1_1)) @ esk47_0)!=(ten @ (ten @ (ten @ esk1_1)) @ esk47_0)), inference(neg_ext,[status(thm)],[c_0_84])). 1.68/0.66 thf(c_0_89, plain, ![X1:$i > $i, X3:($i > $i) > $i > $i, X2:$i]:(((plus @ X3 @ X3 @ X1 @ X2)=(two @ (X3 @ X1) @ X2))), inference(spm,[status(thm)],[c_0_28, c_0_85])). 1.68/0.66 thf(c_0_90, plain, ![X1:$i > $i]:(((ten @ (five @ X1))=(five @ (ten @ X1)))), inference(spm,[status(thm)],[c_0_86, c_0_87])). 1.68/0.66 thf(c_0_91, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89]), c_0_90]), c_0_83])]), ['proof']). 1.68/0.66 # SZS output end CNFRefutation 1.68/0.66 # Parsed axioms : 29 1.68/0.66 # Removed by relevancy pruning/SinE : 0 1.68/0.66 # Initial clauses : 29 1.68/0.66 # Removed in clause preprocessing : 14 1.68/0.66 # Initial clauses in saturation : 15 1.68/0.66 # Processed clauses : 1001 1.68/0.66 # ...of these trivial : 489 1.68/0.66 # ...subsumed : 5 1.68/0.66 # ...remaining for further processing : 507 1.68/0.66 # Other redundant clauses eliminated : 0 1.68/0.66 # Clauses deleted for lack of memory : 0 1.68/0.66 # Backward-subsumed : 0 1.68/0.66 # Backward-rewritten : 150 1.68/0.66 # Generated clauses : 11660 1.68/0.66 # ...of the previous two non-redundant : 10306 1.68/0.66 # ...aggressively subsumed : 0 1.68/0.66 # Contextual simplify-reflections : 0 1.68/0.66 # Paramodulations : 11393 1.68/0.66 # Factorizations : 0 1.68/0.66 # NegExts : 60 1.68/0.66 # Equation resolutions : 0 1.68/0.66 # Propositional unsat checks : 0 1.68/0.66 # Propositional check models : 0 1.68/0.66 # Propositional check unsatisfiable : 0 1.68/0.66 # Propositional clauses : 0 1.68/0.66 # Propositional clauses after purity: 0 1.68/0.66 # Propositional unsat core size : 0 1.68/0.66 # Propositional preprocessing time : 0.000 1.68/0.66 # Propositional encoding time : 0.000 1.68/0.66 # Propositional solver time : 0.000 1.68/0.66 # Success case prop preproc time : 0.000 1.68/0.66 # Success case prop encoding time : 0.000 1.68/0.66 # Success case prop solver time : 0.000 1.68/0.66 # Current number of processed clauses : 342 1.68/0.66 # Positive orientable unit clauses : 276 1.68/0.66 # Positive unorientable unit clauses: 7 1.68/0.66 # Negative unit clauses : 2 1.68/0.66 # Non-unit-clauses : 57 1.68/0.66 # Current number of unprocessed clauses: 9216 1.68/0.66 # ...number of literals in the above : 9216 1.68/0.66 # Current number of archived formulas : 0 1.68/0.66 # Current number of archived clauses : 165 1.68/0.66 # Clause-clause subsumption calls (NU) : 4518 1.68/0.66 # Rec. Clause-clause subsumption calls : 2914 1.68/0.66 # Non-unit clause-clause subsumptions : 3 1.68/0.66 # Unit Clause-clause subsumption calls : 37 1.68/0.66 # Rewrite failures with RHS unbound : 0 1.68/0.66 # BW rewrite match attempts : 6717 1.68/0.66 # BW rewrite match successes : 117 1.68/0.66 # Condensation attempts : 0 1.68/0.66 # Condensation successes : 0 1.68/0.66 # Termbank termtop insertions : 351238 1.68/0.66 1.68/0.66 # ------------------------------------------------- 1.68/0.66 # User time : 0.192 s 1.68/0.66 # System time : 0.010 s 1.68/0.66 # Total time : 0.202 s 1.68/0.66 # Maximum resident set size: 1848 pages 1.68/0.66 1.68/0.66 # ------------------------------------------------- 1.68/0.66 # User time : 0.972 s 1.68/0.66 # System time : 0.042 s 1.68/0.66 # Total time : 1.013 s 1.68/0.66 # Maximum resident set size: 1744 pages 1.68/0.66 EOF