0.07/0.12 % Problem : SLH542^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.14 % Command : run_E %s %d THM 0.13/0.34 % Computer : n028.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 03:18:35 EDT 2022 0.13/0.35 % CPUTime : 0.21/0.47 The problem SPC is TH0_THM_EQU_NAR 0.21/0.47 Running higher-order on 1 cores theorem proving 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.47 # Version: 3.0pre003-ho 0.36/0.65 # Preprocessing class: HSLSSMSMSSSNSFA. 0.36/0.65 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.36/0.65 # Starting new_ho_10 with 30s (1) cores 0.36/0.65 # new_ho_10 with pid 30457 completed with status 0 0.36/0.65 # Result found by new_ho_10 0.36/0.65 # Preprocessing class: HSLSSMSMSSSNSFA. 0.36/0.65 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.36/0.65 # Starting new_ho_10 with 30s (1) cores 0.36/0.65 # No SInE strategy applied 0.36/0.65 # Search class: HGHSM-FSLM31-MSFFFFBN 0.36/0.65 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.36/0.65 # Starting new_ho_10 with 19s (1) cores 0.36/0.65 # new_ho_10 with pid 30478 completed with status 0 0.36/0.65 # Result found by new_ho_10 0.36/0.65 # Preprocessing class: HSLSSMSMSSSNSFA. 0.36/0.65 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.36/0.65 # Starting new_ho_10 with 30s (1) cores 0.36/0.65 # No SInE strategy applied 0.36/0.65 # Search class: HGHSM-FSLM31-MSFFFFBN 0.36/0.65 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.36/0.65 # Starting new_ho_10 with 19s (1) cores 0.36/0.65 # Preprocessing time : 0.008 s 0.36/0.65 # Presaturation interreduction done 0.36/0.65 0.36/0.65 # Proof found! 0.36/0.65 # SZS status Theorem 0.36/0.65 # SZS output start CNFRefutation 0.36/0.65 thf(decl_22, type, abs_abs_int: int > int). 0.36/0.65 thf(decl_23, type, abs_abs_poly_real: poly_real > poly_real). 0.36/0.65 thf(decl_24, type, abs_abs_real: real > real). 0.36/0.65 thf(decl_25, type, minus_minus_int: int > int > int). 0.36/0.65 thf(decl_26, type, minus_minus_nat: nat > nat > nat). 0.36/0.65 thf(decl_27, type, minus_240770701y_real: poly_real > poly_real > poly_real). 0.36/0.65 thf(decl_28, type, minus_minus_real: real > real > real). 0.36/0.65 thf(decl_29, type, one_one_int: int). 0.36/0.65 thf(decl_30, type, one_one_nat: nat). 0.36/0.65 thf(decl_31, type, one_one_poly_real: poly_real). 0.36/0.65 thf(decl_32, type, one_one_real: real). 0.36/0.65 thf(decl_33, type, zero_zero_int: int). 0.36/0.65 thf(decl_34, type, zero_zero_nat: nat). 0.36/0.65 thf(decl_35, type, zero_zero_poly_int: poly_int). 0.36/0.65 thf(decl_36, type, zero_zero_poly_nat: poly_nat). 0.36/0.65 thf(decl_37, type, zero_z1423781445y_real: poly_poly_real). 0.36/0.65 thf(decl_38, type, zero_zero_poly_real: poly_real). 0.36/0.65 thf(decl_39, type, zero_zero_real: real). 0.36/0.65 thf(decl_40, type, ring_1_of_int_int: int > int). 0.36/0.65 thf(decl_41, type, ring_11511526659y_real: int > poly_real). 0.36/0.65 thf(decl_42, type, ring_1_of_int_real: int > real). 0.36/0.65 thf(decl_43, type, ord_less_int: int > int > $o). 0.36/0.65 thf(decl_44, type, ord_less_nat: nat > nat > $o). 0.36/0.65 thf(decl_45, type, ord_less_poly_real: poly_real > poly_real > $o). 0.36/0.65 thf(decl_46, type, ord_less_real: real > real > $o). 0.36/0.65 thf(decl_47, type, ord_less_eq_int: int > int > $o). 0.36/0.65 thf(decl_48, type, ord_less_eq_nat: nat > nat > $o). 0.36/0.65 thf(decl_49, type, ord_le1180086932y_real: poly_real > poly_real > $o). 0.36/0.65 thf(decl_50, type, ord_less_eq_real: real > real > $o). 0.36/0.65 thf(decl_51, type, algebraic_real: real > $o). 0.36/0.65 thf(decl_52, type, poly_int2: poly_int > int > int). 0.36/0.65 thf(decl_53, type, poly_nat2: poly_nat > nat > nat). 0.36/0.65 thf(decl_54, type, poly_poly_real2: poly_poly_real > poly_real > poly_real). 0.36/0.65 thf(decl_55, type, poly_real2: poly_real > real > real). 0.36/0.65 thf(decl_56, type, power_power_int: int > nat > int). 0.36/0.65 thf(decl_57, type, power_power_nat: nat > nat > nat). 0.36/0.65 thf(decl_58, type, power_2108872382y_real: poly_real > nat > poly_real). 0.36/0.65 thf(decl_59, type, power_power_real: real > nat > real). 0.36/0.65 thf(decl_60, type, field_1537545994s_real: set_real). 0.36/0.65 thf(decl_61, type, divide_divide_int: int > int > int). 0.36/0.65 thf(decl_62, type, divide_divide_nat: nat > nat > nat). 0.36/0.65 thf(decl_63, type, divide1727078534y_real: poly_real > poly_real > poly_real). 0.36/0.65 thf(decl_64, type, divide_divide_real: real > real > real). 0.36/0.65 thf(decl_65, type, collect_real: (real > $o) > set_real). 0.36/0.65 thf(decl_66, type, member_real: real > set_real > $o). 0.36/0.65 thf(decl_67, type, a: real). 0.36/0.65 thf(decl_68, type, a2: real). 0.36/0.65 thf(decl_69, type, a_set: set_real). 0.36/0.65 thf(decl_70, type, m: real). 0.36/0.65 thf(decl_71, type, a3: int). 0.36/0.65 thf(decl_72, type, b: int). 0.36/0.65 thf(decl_73, type, n: nat). 0.36/0.65 thf(decl_74, type, p: poly_real). 0.36/0.65 thf(decl_75, type, roots: set_real). 0.36/0.65 thf(decl_76, type, thesis: $o). 0.36/0.65 thf(decl_77, type, x: real). 0.36/0.65 thf(decl_78, type, esk1_2: real > nat > int). 0.36/0.65 thf(decl_79, type, esk2_2: real > nat > int). 0.36/0.65 thf(decl_80, type, esk3_3: int > int > (int > $o) > int). 0.36/0.65 thf(decl_81, type, esk4_3: int > int > (int > $o) > int). 0.36/0.65 thf(decl_82, type, esk5_1: real > real). 0.36/0.65 thf(decl_83, type, esk6_1: real > real). 0.36/0.65 thf(decl_84, type, esk7_3: real > real > poly_real > real). 0.36/0.65 thf(decl_85, type, esk8_3: real > real > poly_real > real). 0.36/0.65 thf(decl_86, type, epred1_1: set_real > real > $o). 0.36/0.65 thf(fact_287_divide__le__eq__1, axiom, ![X215:real, X14:real]:(((ord_less_eq_real @ (divide_divide_real @ X215 @ X14) @ one_one_real)<=>(((ord_less_real @ zero_zero_real @ X14)&(ord_less_eq_real @ X215 @ X14))|((ord_less_real @ X14 @ zero_zero_real)&(ord_less_eq_real @ X14 @ X215))|((X14)=(zero_zero_real))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_287_divide__le__eq__1)). 0.36/0.65 thf(fact_117_division__ring__divide__zero, axiom, ![X14:real]:(((divide_divide_real @ X14 @ zero_zero_real)=(zero_zero_real))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_117_division__ring__divide__zero)). 0.36/0.65 thf(fact_51_of__int__abs, axiom, ![X3:int]:(((ring_1_of_int_real @ (abs_abs_int @ X3))=(abs_abs_real @ (ring_1_of_int_real @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_51_of__int__abs)). 0.36/0.65 thf(fact_29_of__int__le__1__iff, axiom, ![X4:int]:(((ord_less_eq_real @ (ring_1_of_int_real @ X4) @ one_one_real)<=>(ord_less_eq_int @ X4 @ one_one_int))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_29_of__int__le__1__iff)). 0.36/0.65 thf(fact_66_of__int__1, axiom, ((ring_1_of_int_real @ one_one_int)=(one_one_real)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_66_of__int__1)). 0.36/0.65 thf(fact_300_abs__of__nonneg, axiom, ![X224:int]:(((ord_less_eq_int @ zero_zero_int @ X224)=>((abs_abs_int @ X224)=(X224)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_300_abs__of__nonneg)). 0.36/0.65 thf(fact_45_of__int__0, axiom, ((ring_1_of_int_real @ zero_zero_int)=(zero_zero_real)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_45_of__int__0)). 0.36/0.65 thf(fact_124_one__eq__divide__iff, axiom, ![X14:real, X49:real]:((((one_one_real)=(divide_divide_real @ X14 @ X49))<=>(((X49)!=(zero_zero_real))&((X14)=(X49))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_124_one__eq__divide__iff)). 0.36/0.65 thf(fact_22_of__int__power, axiom, ![X4:int, X5:nat]:(((ring_1_of_int_real @ (power_power_int @ X4 @ X5))=(power_power_real @ (ring_1_of_int_real @ X4) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_22_of__int__power)). 0.36/0.65 thf(fact_122_abs__divide, axiom, ![X14:real, X47:real]:(((abs_abs_real @ (divide_divide_real @ X14 @ X47))=(divide_divide_real @ (abs_abs_real @ X14) @ (abs_abs_real @ X47)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_122_abs__divide)). 0.36/0.65 thf(fact_284_zero__le__power__abs, axiom, ![X14:real, X5:nat]:((ord_less_eq_real @ zero_zero_real @ (power_power_real @ (abs_abs_real @ X14) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_284_zero__le__power__abs)). 0.36/0.65 thf(fact_112_power__one__right, axiom, ![X14:real]:(((power_power_real @ X14 @ one_one_nat)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_112_power__one__right)). 0.36/0.65 thf(fact_286_abs__div__pos, axiom, ![X213:real, X214:real]:(((ord_less_real @ zero_zero_real @ X213)=>((divide_divide_real @ (abs_abs_real @ X214) @ X213)=(abs_abs_real @ (divide_divide_real @ X214 @ X213))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_286_abs__div__pos)). 0.36/0.65 thf(fact_9__092_060open_0621_A_P_AM_A_P_Areal__of__int_Ab_A_094_An_A_061_A1_A_P_Areal__of__int_A_Ib_A_094_An_J_A_P_AM_092_060close_062, axiom, ((divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (power_power_real @ (ring_1_of_int_real @ b) @ n))=(divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_9__092_060open_0621_A_P_AM_A_P_Areal__of__int_Ab_A_094_An_A_061_A1_A_P_Areal__of__int_A_Ib_A_094_An_J_A_P_AM_092_060close_062)). 0.36/0.65 thf(fact_200_power__abs, axiom, ![X116:int, X5:nat]:(((abs_abs_int @ (power_power_int @ X116 @ X5))=(power_power_int @ (abs_abs_int @ X116) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_200_power__abs)). 0.36/0.65 thf(fact_114_divide__eq__0__iff, axiom, ![X14:real, X42:real]:((((divide_divide_real @ X14 @ X42)=(zero_zero_real))<=>(((X14)=(zero_zero_real))|((X42)=(zero_zero_real))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_114_divide__eq__0__iff)). 0.36/0.65 thf(fact_305_abs__le__zero__iff, axiom, ![X14:real]:(((ord_less_eq_real @ (abs_abs_real @ X14) @ zero_zero_real)<=>((X14)=(zero_zero_real)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_305_abs__le__zero__iff)). 0.36/0.65 thf(fact_1_M__pos, axiom, (ord_less_real @ zero_zero_real @ m), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1_M__pos)). 0.36/0.65 thf(fact_94_le__divide__eq__1__pos, axiom, ![X14:real, X23:real]:(((ord_less_real @ zero_zero_real @ X14)=>((ord_less_eq_real @ one_one_real @ (divide_divide_real @ X23 @ X14))<=>(ord_less_eq_real @ X14 @ X23)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_94_le__divide__eq__1__pos)). 0.36/0.65 thf(fact_204_zero__le__divide__iff, axiom, ![X14:real, X119:real]:(((ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X14 @ X119))<=>(((ord_less_eq_real @ zero_zero_real @ X14)&(ord_less_eq_real @ zero_zero_real @ X119))|((ord_less_eq_real @ X14 @ zero_zero_real)&(ord_less_eq_real @ X119 @ zero_zero_real))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_204_zero__le__divide__iff)). 0.36/0.65 thf(fact_288_le__divide__eq__1, axiom, ![X216:real, X14:real]:(((ord_less_eq_real @ one_one_real @ (divide_divide_real @ X216 @ X14))<=>(((ord_less_real @ zero_zero_real @ X14)&(ord_less_eq_real @ X14 @ X216))|((ord_less_real @ X14 @ zero_zero_real)&(ord_less_eq_real @ X216 @ X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_288_le__divide__eq__1)). 0.36/0.65 thf(conj_0, conjecture, (ord_less_eq_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m) @ (divide_divide_real @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b)))) @ m)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.36/0.65 thf(fact_253_divide__le__cancel, axiom, ![X14:real, X43:real, X177:real]:(((ord_less_eq_real @ (divide_divide_real @ X14 @ X43) @ (divide_divide_real @ X177 @ X43))<=>(((ord_less_real @ zero_zero_real @ X43)=>(ord_less_eq_real @ X14 @ X177))&((ord_less_real @ X43 @ zero_zero_real)=>(ord_less_eq_real @ X177 @ X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_253_divide__le__cancel)). 0.36/0.65 thf(fact_6_p__ab, axiom, (ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ n)) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_6_p__ab)). 0.36/0.65 thf(c_0_24, plain, ![X1424:real, X1425:real]:((((((ord_less_real @ X1425 @ zero_zero_real)|(ord_less_real @ zero_zero_real @ X1425)|((X1425)=(zero_zero_real))|~(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real))&((ord_less_eq_real @ X1425 @ X1424)|(ord_less_real @ zero_zero_real @ X1425)|((X1425)=(zero_zero_real))|~(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real)))&(((ord_less_real @ X1425 @ zero_zero_real)|(ord_less_eq_real @ X1424 @ X1425)|((X1425)=(zero_zero_real))|~(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real))&((ord_less_eq_real @ X1425 @ X1424)|(ord_less_eq_real @ X1424 @ X1425)|((X1425)=(zero_zero_real))|~(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real))))&(((~(ord_less_real @ zero_zero_real @ X1425)|~(ord_less_eq_real @ X1424 @ X1425)|(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real))&(~(ord_less_real @ X1425 @ zero_zero_real)|~(ord_less_eq_real @ X1425 @ X1424)|(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real)))&(((X1425)!=(zero_zero_real))|(ord_less_eq_real @ (divide_divide_real @ X1424 @ X1425) @ one_one_real))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_287_divide__le__eq__1])])])). 0.36/0.65 thf(c_0_25, plain, ![X1039:real]:(((divide_divide_real @ X1039 @ zero_zero_real)=(zero_zero_real))), inference(variable_rename,[status(thm)],[fact_117_division__ring__divide__zero])). 0.36/0.65 thf(c_0_26, plain, ![X930:int]:(((ring_1_of_int_real @ (abs_abs_int @ X930))=(abs_abs_real @ (ring_1_of_int_real @ X930)))), inference(variable_rename,[status(thm)],[fact_51_of__int__abs])). 0.36/0.65 thf(c_0_27, plain, ![X911:int]:(((~(ord_less_eq_real @ (ring_1_of_int_real @ X911) @ one_one_real)|(ord_less_eq_int @ X911 @ one_one_int))&(~(ord_less_eq_int @ X911 @ one_one_int)|(ord_less_eq_real @ (ring_1_of_int_real @ X911) @ one_one_real)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_29_of__int__le__1__iff])])). 0.36/0.65 thf(c_0_28, plain, ![X14:real, X11:real]:(((ord_less_eq_real @ (divide_divide_real @ X14 @ X11) @ one_one_real)|((X11)!=(zero_zero_real)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.36/0.65 thf(c_0_29, plain, ![X11:real]:(((divide_divide_real @ X11 @ zero_zero_real)=(zero_zero_real))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.36/0.65 thf(c_0_30, plain, ![X1:int]:(((ring_1_of_int_real @ (abs_abs_int @ X1))=(abs_abs_real @ (ring_1_of_int_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.36/0.65 thf(c_0_31, plain, ((ring_1_of_int_real @ one_one_int)=(one_one_real)), inference(split_conjunct,[status(thm)],[fact_66_of__int__1])). 0.36/0.65 thf(c_0_32, plain, ![X1441:int]:((~(ord_less_eq_int @ zero_zero_int @ X1441)|((abs_abs_int @ X1441)=(X1441)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_300_abs__of__nonneg])])). 0.36/0.65 thf(c_0_33, plain, ![X1:int]:(((ord_less_eq_int @ X1 @ one_one_int)|~((ord_less_eq_real @ (ring_1_of_int_real @ X1) @ one_one_real)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.36/0.65 thf(c_0_34, plain, ((ring_1_of_int_real @ zero_zero_int)=(zero_zero_real)), inference(split_conjunct,[status(thm)],[fact_45_of__int__0])). 0.36/0.65 thf(c_0_35, plain, (ord_less_eq_real @ zero_zero_real @ one_one_real), inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_28]), c_0_29])). 0.36/0.65 thf(c_0_36, plain, ![X1049:real, X1050:real]:((((((X1050)!=(zero_zero_real))|((one_one_real)!=(divide_divide_real @ X1049 @ X1050)))&(((X1049)=(X1050))|((one_one_real)!=(divide_divide_real @ X1049 @ X1050))))&(((X1050)=(zero_zero_real))|((X1049)!=(X1050))|((one_one_real)=(divide_divide_real @ X1049 @ X1050))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_124_one__eq__divide__iff])])])). 0.36/0.65 thf(c_0_37, plain, ![X895:int, X896:nat]:(((ring_1_of_int_real @ (power_power_int @ X895 @ X896))=(power_power_real @ (ring_1_of_int_real @ X895) @ X896))), inference(variable_rename,[status(thm)],[fact_22_of__int__power])). 0.36/0.65 thf(c_0_38, plain, ![X1045:real, X1046:real]:(((abs_abs_real @ (divide_divide_real @ X1045 @ X1046))=(divide_divide_real @ (abs_abs_real @ X1045) @ (abs_abs_real @ X1046)))), inference(variable_rename,[status(thm)],[fact_122_abs__divide])). 0.36/0.65 thf(c_0_39, plain, ((ring_1_of_int_real @ (abs_abs_int @ one_one_int))=(abs_abs_real @ one_one_real)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.36/0.65 thf(c_0_40, plain, ![X1:int]:((((abs_abs_int @ X1)=(X1))|~((ord_less_eq_int @ zero_zero_int @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.36/0.65 thf(c_0_41, plain, (ord_less_eq_int @ zero_zero_int @ one_one_int), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])])). 0.36/0.65 thf(c_0_42, plain, ![X14:real, X11:real]:((((X11)!=(zero_zero_real))|((one_one_real)!=(divide_divide_real @ X14 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_36])). 0.36/0.65 thf(c_0_43, plain, ![X1418:real, X1419:nat]:((ord_less_eq_real @ zero_zero_real @ (power_power_real @ (abs_abs_real @ X1418) @ X1419))), inference(variable_rename,[status(thm)],[fact_284_zero__le__power__abs])). 0.36/0.65 thf(c_0_44, plain, ![X1029:real]:(((power_power_real @ X1029 @ one_one_nat)=(X1029))), inference(variable_rename,[status(thm)],[fact_112_power__one__right])). 0.36/0.65 thf(c_0_45, plain, ![X1422:real, X1423:real]:((~(ord_less_real @ zero_zero_real @ X1422)|((divide_divide_real @ (abs_abs_real @ X1423) @ X1422)=(abs_abs_real @ (divide_divide_real @ X1423 @ X1422))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_286_abs__div__pos])])). 0.36/0.65 thf(c_0_46, plain, ((divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (power_power_real @ (ring_1_of_int_real @ b) @ n))=(divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m)), inference(split_conjunct,[status(thm)],[fact_9__092_060open_0621_A_P_AM_A_P_Areal__of__int_Ab_A_094_An_A_061_A1_A_P_Areal__of__int_A_Ib_A_094_An_J_A_P_AM_092_060close_062])). 0.36/0.65 thf(c_0_47, plain, ![X1:int, X2:nat]:(((ring_1_of_int_real @ (power_power_int @ X1 @ X2))=(power_power_real @ (ring_1_of_int_real @ X1) @ X2))), inference(split_conjunct,[status(thm)],[c_0_37])). 0.36/0.65 thf(c_0_48, plain, ![X11:real, X14:real]:(((abs_abs_real @ (divide_divide_real @ X11 @ X14))=(divide_divide_real @ (abs_abs_real @ X11) @ (abs_abs_real @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.36/0.65 thf(c_0_49, plain, ((abs_abs_real @ one_one_real)=(one_one_real)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_31]), c_0_41])])). 0.36/0.65 thf(c_0_50, plain, ![X1210:int, X1211:nat]:(((abs_abs_int @ (power_power_int @ X1210 @ X1211))=(power_power_int @ (abs_abs_int @ X1210) @ X1211))), inference(variable_rename,[status(thm)],[fact_200_power__abs])). 0.36/0.65 thf(c_0_51, plain, ![X1031:real, X1032:real]:(((((divide_divide_real @ X1031 @ X1032)!=(zero_zero_real))|(((X1031)=(zero_zero_real))|((X1032)=(zero_zero_real))))&((((X1031)!=(zero_zero_real))|((divide_divide_real @ X1031 @ X1032)=(zero_zero_real)))&(((X1032)!=(zero_zero_real))|((divide_divide_real @ X1031 @ X1032)=(zero_zero_real)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_divide__eq__0__iff])])])). 0.36/0.65 thf(c_0_52, plain, ![X1446:real]:(((~(ord_less_eq_real @ (abs_abs_real @ X1446) @ zero_zero_real)|((X1446)=(zero_zero_real)))&(((X1446)!=(zero_zero_real))|(ord_less_eq_real @ (abs_abs_real @ X1446) @ zero_zero_real)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_305_abs__le__zero__iff])])). 0.36/0.65 thf(c_0_53, plain, ![X11:real]:(((divide_divide_real @ X11 @ zero_zero_real)!=(one_one_real))), inference(er,[status(thm)],[c_0_42])). 0.36/0.65 thf(c_0_54, plain, ![X11:real, X2:nat]:((ord_less_eq_real @ zero_zero_real @ (power_power_real @ (abs_abs_real @ X11) @ X2))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.36/0.65 thf(c_0_55, plain, ![X11:real]:(((power_power_real @ X11 @ one_one_nat)=(X11))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.36/0.65 thf(c_0_56, plain, ![X14:real, X11:real]:((((divide_divide_real @ (abs_abs_real @ X14) @ X11)=(abs_abs_real @ (divide_divide_real @ X14 @ X11)))|~((ord_less_real @ zero_zero_real @ X11)))), inference(split_conjunct,[status(thm)],[c_0_45])). 0.36/0.65 thf(c_0_57, plain, ((divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m)=(divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (ring_1_of_int_real @ (power_power_int @ b @ n)))), inference(rw,[status(thm)],[c_0_46, c_0_47])). 0.36/0.65 thf(c_0_58, plain, (ord_less_real @ zero_zero_real @ m), inference(split_conjunct,[status(thm)],[fact_1_M__pos])). 0.36/0.65 thf(c_0_59, plain, ![X11:real]:(((abs_abs_real @ (divide_divide_real @ one_one_real @ X11))=(divide_divide_real @ one_one_real @ (abs_abs_real @ X11)))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 0.36/0.65 thf(c_0_60, plain, ![X1:int, X2:nat]:(((abs_abs_int @ (power_power_int @ X1 @ X2))=(power_power_int @ (abs_abs_int @ X1) @ X2))), inference(split_conjunct,[status(thm)],[c_0_50])). 0.36/0.65 thf(c_0_61, plain, ![X989:real, X990:real]:(((~(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X990 @ X989))|(ord_less_eq_real @ X989 @ X990)|~(ord_less_real @ zero_zero_real @ X989))&(~(ord_less_eq_real @ X989 @ X990)|(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X990 @ X989))|~(ord_less_real @ zero_zero_real @ X989)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_94_le__divide__eq__1__pos])])])). 0.36/0.65 thf(c_0_62, plain, ![X14:real, X11:real]:((((divide_divide_real @ X11 @ X14)=(zero_zero_real))|((X11)!=(zero_zero_real)))), inference(split_conjunct,[status(thm)],[c_0_51])). 0.36/0.65 thf(c_0_63, plain, ![X11:real]:((((X11)=(zero_zero_real))|~((ord_less_eq_real @ (abs_abs_real @ X11) @ zero_zero_real)))), inference(split_conjunct,[status(thm)],[c_0_52])). 0.36/0.65 thf(c_0_64, plain, ((one_one_real)!=(zero_zero_real)), inference(rw,[status(thm)],[c_0_53, c_0_29])). 0.36/0.65 thf(c_0_65, plain, ![X1219:real, X1220:real]:((((((ord_less_eq_real @ X1219 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ X1219)|~(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220)))&((ord_less_eq_real @ X1220 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ X1219)|~(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220))))&(((ord_less_eq_real @ X1219 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ X1220)|~(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220)))&((ord_less_eq_real @ X1220 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ X1220)|~(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220)))))&((~(ord_less_eq_real @ zero_zero_real @ X1219)|~(ord_less_eq_real @ zero_zero_real @ X1220)|(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220)))&(~(ord_less_eq_real @ X1219 @ zero_zero_real)|~(ord_less_eq_real @ X1220 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X1219 @ X1220)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_204_zero__le__divide__iff])])])). 0.36/0.65 thf(c_0_66, plain, ![X11:real]:((ord_less_eq_real @ zero_zero_real @ (abs_abs_real @ X11))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.36/0.65 thf(c_0_67, plain, ((abs_abs_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (ring_1_of_int_real @ (power_power_int @ b @ n))))=(divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ (abs_abs_int @ b) @ n))) @ m)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])]), c_0_59]), c_0_30]), c_0_60])). 0.36/0.65 thf(c_0_68, plain, ![X1426:real, X1427:real]:((((((ord_less_real @ X1427 @ zero_zero_real)|(ord_less_real @ zero_zero_real @ X1427)|~(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427)))&((ord_less_eq_real @ X1426 @ X1427)|(ord_less_real @ zero_zero_real @ X1427)|~(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427))))&(((ord_less_real @ X1427 @ zero_zero_real)|(ord_less_eq_real @ X1427 @ X1426)|~(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427)))&((ord_less_eq_real @ X1426 @ X1427)|(ord_less_eq_real @ X1427 @ X1426)|~(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427)))))&((~(ord_less_real @ zero_zero_real @ X1427)|~(ord_less_eq_real @ X1427 @ X1426)|(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427)))&(~(ord_less_real @ X1427 @ zero_zero_real)|~(ord_less_eq_real @ X1426 @ X1427)|(ord_less_eq_real @ one_one_real @ (divide_divide_real @ X1426 @ X1427)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_le__divide__eq__1])])])). 0.36/0.65 thf(c_0_69, plain, ![X14:real, X11:real]:(((ord_less_eq_real @ one_one_real @ (divide_divide_real @ X14 @ X11))|~((ord_less_eq_real @ X11 @ X14))|~((ord_less_real @ zero_zero_real @ X11)))), inference(split_conjunct,[status(thm)],[c_0_61])). 0.36/0.65 thf(c_0_70, plain, ![X11:real]:(((divide_divide_real @ zero_zero_real @ X11)=(zero_zero_real))), inference(er,[status(thm)],[c_0_62])). 0.36/0.65 thf(c_0_71, plain, ~((ord_less_eq_real @ one_one_real @ zero_zero_real)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_49]), c_0_64])). 0.36/0.65 thf(c_0_72, plain, ![X14:real, X11:real]:(((ord_less_eq_real @ X11 @ zero_zero_real)|(ord_less_eq_real @ zero_zero_real @ X11)|~((ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ X14 @ X11))))), inference(split_conjunct,[status(thm)],[c_0_65])). 0.36/0.65 thf(c_0_73, plain, (ord_less_eq_real @ zero_zero_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ (abs_abs_int @ b) @ n))) @ m)), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.36/0.65 thf(c_0_74, plain, ![X14:real, X11:real]:(((ord_less_eq_real @ one_one_real @ (divide_divide_real @ X14 @ X11))|~((ord_less_real @ X11 @ zero_zero_real))|~((ord_less_eq_real @ X14 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_68])). 0.36/0.65 thf(c_0_75, plain, ![X11:real]:((~((ord_less_real @ zero_zero_real @ X11))|~((ord_less_eq_real @ X11 @ zero_zero_real)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])). 0.36/0.65 thf(c_0_76, plain, ((ord_less_eq_real @ zero_zero_real @ m)|(ord_less_eq_real @ m @ zero_zero_real)), inference(spm,[status(thm)],[c_0_72, c_0_73])). 0.36/0.65 thf(c_0_77, negated_conjecture, ~(ord_less_eq_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m) @ (divide_divide_real @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b)))) @ m)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.36/0.65 thf(c_0_78, plain, ![X1336:real, X1337:real, X1338:real]:((((~(ord_less_real @ zero_zero_real @ X1337)|(ord_less_eq_real @ X1336 @ X1338)|~(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337)))&(~(ord_less_real @ X1337 @ zero_zero_real)|(ord_less_eq_real @ X1338 @ X1336)|~(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337))))&((((ord_less_real @ X1337 @ zero_zero_real)|(ord_less_real @ zero_zero_real @ X1337)|(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337)))&(~(ord_less_eq_real @ X1338 @ X1336)|(ord_less_real @ zero_zero_real @ X1337)|(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337))))&(((ord_less_real @ X1337 @ zero_zero_real)|~(ord_less_eq_real @ X1336 @ X1338)|(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337)))&(~(ord_less_eq_real @ X1338 @ X1336)|~(ord_less_eq_real @ X1336 @ X1338)|(ord_less_eq_real @ (divide_divide_real @ X1336 @ X1337) @ (divide_divide_real @ X1338 @ X1337))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_253_divide__le__cancel])])])). 0.36/0.65 thf(c_0_79, plain, ![X11:real]:((~((ord_less_real @ X11 @ zero_zero_real))|~((ord_less_eq_real @ zero_zero_real @ X11)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_70]), c_0_71])). 0.36/0.65 thf(c_0_80, plain, (ord_less_eq_real @ zero_zero_real @ m), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_58])])). 0.36/0.65 thf(c_0_81, negated_conjecture, ~((ord_less_eq_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ m) @ (divide_divide_real @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b)))) @ m))), inference(split_conjunct,[status(thm)],[c_0_77])). 0.36/0.65 thf(c_0_82, plain, ![X11:real, X14:real, X17:real]:(((ord_less_real @ X11 @ zero_zero_real)|(ord_less_eq_real @ (divide_divide_real @ X14 @ X11) @ (divide_divide_real @ X17 @ X11))|~((ord_less_eq_real @ X14 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_78])). 0.36/0.65 thf(c_0_83, plain, ~((ord_less_real @ m @ zero_zero_real)), inference(spm,[status(thm)],[c_0_79, c_0_80])). 0.36/0.65 thf(c_0_84, plain, (ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ n)) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b))))), inference(split_conjunct,[status(thm)],[fact_6_p__ab])). 0.36/0.65 thf(c_0_85, negated_conjecture, ~((ord_less_eq_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ (divide_divide_real @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b)))) @ m))), inference(rw,[status(thm)],[c_0_81, c_0_57])). 0.36/0.65 thf(c_0_86, plain, ![X11:real]:(((ord_less_eq_real @ (divide_divide_real @ (divide_divide_real @ one_one_real @ m) @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ (divide_divide_real @ X11 @ m))|~((ord_less_eq_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ X11)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_57]), c_0_83])). 0.36/0.65 thf(c_0_87, plain, (ord_less_eq_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a3) @ (ring_1_of_int_real @ b))))), inference(rw,[status(thm)],[c_0_84, c_0_47])). 0.36/0.65 thf(c_0_88, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87])]), ['proof']). 0.36/0.65 # SZS output end CNFRefutation 0.36/0.65 # Parsed axioms : 415 0.36/0.65 # Removed by relevancy pruning/SinE : 0 0.36/0.65 # Initial clauses : 630 0.36/0.65 # Removed in clause preprocessing : 74 0.36/0.65 # Initial clauses in saturation : 556 0.36/0.65 # Processed clauses : 1347 0.36/0.65 # ...of these trivial : 28 0.36/0.65 # ...subsumed : 272 0.36/0.65 # ...remaining for further processing : 1047 0.36/0.65 # Other redundant clauses eliminated : 67 0.36/0.65 # Clauses deleted for lack of memory : 0 0.36/0.65 # Backward-subsumed : 7 0.36/0.65 # Backward-rewritten : 18 0.36/0.65 # Generated clauses : 3290 0.36/0.65 # ...of the previous two non-redundant : 2376 0.36/0.65 # ...aggressively subsumed : 0 0.36/0.65 # Contextual simplify-reflections : 0 0.36/0.65 # Paramodulations : 3214 0.36/0.65 # Factorizations : 2 0.36/0.65 # NegExts : 0 0.36/0.65 # Equation resolutions : 74 0.36/0.65 # Propositional unsat checks : 0 0.36/0.65 # Propositional check models : 0 0.36/0.65 # Propositional check unsatisfiable : 0 0.36/0.65 # Propositional clauses : 0 0.36/0.65 # Propositional clauses after purity: 0 0.36/0.65 # Propositional unsat core size : 0 0.36/0.65 # Propositional preprocessing time : 0.000 0.36/0.65 # Propositional encoding time : 0.000 0.36/0.65 # Propositional solver time : 0.000 0.36/0.65 # Success case prop preproc time : 0.000 0.36/0.65 # Success case prop encoding time : 0.000 0.36/0.65 # Success case prop solver time : 0.000 0.36/0.65 # Current number of processed clauses : 529 0.36/0.65 # Positive orientable unit clauses : 106 0.36/0.65 # Positive unorientable unit clauses: 0 0.36/0.65 # Negative unit clauses : 37 0.36/0.65 # Non-unit-clauses : 386 0.36/0.65 # Current number of unprocessed clauses: 1966 0.36/0.65 # ...number of literals in the above : 6216 0.36/0.65 # Current number of archived formulas : 0 0.36/0.65 # Current number of archived clauses : 456 0.36/0.65 # Clause-clause subsumption calls (NU) : 38675 0.36/0.65 # Rec. Clause-clause subsumption calls : 29895 0.36/0.65 # Non-unit clause-clause subsumptions : 126 0.36/0.65 # Unit Clause-clause subsumption calls : 2463 0.36/0.65 # Rewrite failures with RHS unbound : 0 0.36/0.65 # BW rewrite match attempts : 24 0.36/0.65 # BW rewrite match successes : 8 0.36/0.65 # Condensation attempts : 1347 0.36/0.65 # Condensation successes : 5 0.36/0.65 # Termbank termtop insertions : 85819 0.36/0.65 0.36/0.65 # ------------------------------------------------- 0.36/0.65 # User time : 0.153 s 0.36/0.65 # System time : 0.012 s 0.36/0.65 # Total time : 0.165 s 0.36/0.65 # Maximum resident set size: 4172 pages 0.36/0.65 0.36/0.65 # ------------------------------------------------- 0.36/0.65 # User time : 0.165 s 0.36/0.65 # System time : 0.014 s 0.36/0.65 # Total time : 0.179 s 0.36/0.65 # Maximum resident set size: 2216 pages 0.36/0.65 EOF