0.09/0.09 % Problem : SLH609^1 : TPTP v7.5.0. Released v7.5.0. 0.09/0.10 % Command : run_E %s %d THM 0.09/0.29 % Computer : n023.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 30 0.09/0.29 % WCLimit : 30 0.09/0.29 % DateTime : Tue Aug 9 03:40:27 EDT 2022 0.09/0.29 % CPUTime : 0.14/0.39 The problem SPC is TH0_THM_EQU_NAR 0.14/0.39 Running higher-order on 1 cores theorem proving 0.14/0.39 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=1 --cpu-limit=30 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.39 # Version: 3.0pre003-ho 0.79/1.05 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/1.05 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.79/1.05 # Starting new_ho_10 with 30s (1) cores 0.79/1.05 # new_ho_10 with pid 4042 completed with status 0 0.79/1.05 # Result found by new_ho_10 0.79/1.05 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/1.05 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.79/1.05 # Starting new_ho_10 with 30s (1) cores 0.79/1.05 # No SInE strategy applied 0.79/1.05 # Search class: HGHSM-FSLS32-SHFFFFBC 0.79/1.05 # partial match(1): HGHSM-FSLS32-SHFFFSBC 0.79/1.05 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.79/1.05 # Starting new_ho_10 with 15s (1) cores 0.79/1.05 # new_ho_10 with pid 4043 completed with status 0 0.79/1.05 # Result found by new_ho_10 0.79/1.05 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/1.05 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.79/1.05 # Starting new_ho_10 with 30s (1) cores 0.79/1.05 # No SInE strategy applied 0.79/1.05 # Search class: HGHSM-FSLS32-SHFFFFBC 0.79/1.05 # partial match(1): HGHSM-FSLS32-SHFFFSBC 0.79/1.05 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.79/1.05 # Starting new_ho_10 with 15s (1) cores 0.79/1.05 # Preprocessing time : 0.005 s 0.79/1.05 # Presaturation interreduction done 0.79/1.05 0.79/1.05 # Proof found! 0.79/1.05 # SZS status Theorem 0.79/1.05 # SZS output start CNFRefutation 0.79/1.05 thf(decl_22, type, plus_plus_nat: nat > nat > nat). 0.79/1.05 thf(decl_23, type, plus_plus_a: a > a > a). 0.79/1.05 thf(decl_24, type, zero_zero_nat: nat). 0.79/1.05 thf(decl_25, type, zero_zero_a: a). 0.79/1.05 thf(decl_26, type, if_nat: $o > nat > nat > nat). 0.79/1.05 thf(decl_27, type, ord_less_nat: nat > nat > $o). 0.79/1.05 thf(decl_28, type, ord_less_eq_nat: nat > nat > $o). 0.79/1.05 thf(decl_29, type, ord_min_nat: nat > nat > nat). 0.79/1.05 thf(decl_30, type, polyno1779722485en_nat: polyno1532895200ly_nat > nat > nat). 0.79/1.05 thf(decl_31, type, polyno1674775833reen_a: polyno727731844poly_a > nat > nat). 0.79/1.05 thf(decl_32, type, polyno544860353dn_nat: polyno1532895200ly_nat > nat > polyno1532895200ly_nat). 0.79/1.05 thf(decl_33, type, polyno567601229eadn_a: polyno727731844poly_a > nat > polyno727731844poly_a). 0.79/1.05 thf(decl_34, type, polyno1013235523ly_nat: polyno1532895200ly_nat > $o). 0.79/1.05 thf(decl_35, type, polyno190918219poly_a: polyno727731844poly_a > $o). 0.79/1.05 thf(decl_36, type, polyno892049031yh_nat: polyno1532895200ly_nat > nat > $o). 0.79/1.05 thf(decl_37, type, polyno1372495879olyh_a: polyno727731844poly_a > nat > $o). 0.79/1.05 thf(decl_38, type, polyno720942678CN_nat: polyno1532895200ly_nat > nat > polyno1532895200ly_nat > polyno1532895200ly_nat). 0.79/1.05 thf(decl_39, type, polyno1057396216e_CN_a: polyno727731844poly_a > nat > polyno727731844poly_a > polyno727731844poly_a). 0.79/1.05 thf(decl_40, type, polyno2122022170_C_nat: nat > polyno1532895200ly_nat). 0.79/1.05 thf(decl_41, type, polyno439679028le_C_a: a > polyno727731844poly_a). 0.79/1.05 thf(decl_42, type, polyno212464073eriv_a: polyno727731844poly_a > polyno727731844poly_a). 0.79/1.05 thf(decl_43, type, polyno736389480dd_nat: polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat). 0.79/1.05 thf(decl_44, type, polyno2065957734yadd_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a). 0.79/1.05 thf(decl_45, type, polyno1934269411ymul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a). 0.79/1.05 thf(decl_46, type, m: nat). 0.79/1.05 thf(decl_47, type, n0: nat). 0.79/1.05 thf(decl_48, type, n1: nat). 0.79/1.05 thf(decl_49, type, p: polyno727731844poly_a). 0.79/1.05 thf(decl_50, type, q: polyno727731844poly_a). 0.79/1.05 thf(decl_51, type, esk1_2: (nat > $o) > nat > nat). 0.79/1.05 thf(decl_52, type, esk2_1: (nat > $o) > nat). 0.79/1.05 thf(decl_53, type, esk3_2: nat > nat > nat). 0.79/1.05 thf(decl_54, type, esk4_2: nat > nat > nat). 0.79/1.05 thf(decl_55, type, esk5_2: nat > nat > nat). 0.79/1.05 thf(decl_56, type, esk6_2: nat > nat > nat). 0.79/1.05 thf(decl_57, type, esk7_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_58, type, esk8_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_59, type, esk9_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_60, type, esk10_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_61, type, esk11_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_62, type, esk12_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_63, type, esk13_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_64, type, esk14_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_65, type, esk15_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_66, type, esk16_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_67, type, esk17_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_68, type, esk18_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_69, type, esk19_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_70, type, esk20_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_71, type, esk21_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_72, type, esk22_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_73, type, esk23_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_74, type, esk24_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_75, type, esk25_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_76, type, esk26_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_77, type, esk27_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_78, type, esk28_1: (nat > nat > $o) > nat). 0.79/1.05 thf(decl_79, type, esk29_1: (nat > $o) > nat). 0.79/1.05 thf(decl_80, type, esk30_2: (nat > $o) > nat > nat). 0.79/1.05 thf(decl_81, type, esk31_1: (nat > $o) > nat). 0.79/1.05 thf(decl_82, type, esk32_1: (nat > $o) > nat). 0.79/1.05 thf(decl_83, type, esk33_1: nat > nat). 0.79/1.05 thf(decl_84, type, esk34_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_85, type, esk35_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_86, type, esk36_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_87, type, esk37_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_88, type, esk38_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_89, type, esk39_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_90, type, esk40_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_91, type, esk41_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_92, type, esk42_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_93, type, esk43_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_94, type, esk44_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_95, type, esk45_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_96, type, esk46_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_97, type, esk47_4: nat > (nat > nat) > nat > nat > nat). 0.79/1.05 thf(decl_98, type, esk48_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(decl_99, type, esk49_4: nat > nat > (nat > nat) > nat > nat). 0.79/1.05 thf(fact_5_isnpolyh_Osimps_I1_J, axiom, ![X10:a]:(((polyno1372495879olyh_a @ (polyno439679028le_C_a @ X10))=(^[X9:nat]:(($true))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_isnpolyh_Osimps_I1_J)). 0.79/1.05 thf(fact_203_exists__least__iff, axiom, ((^[X142:nat > $o]:(?[X143:nat]:((X142 @ X143))))=(^[X144:nat > $o]:(?[X100:nat]:(((X144 @ X100)&![X6:nat]:(((ord_less_nat @ X6 @ X100)=>~((X144 @ X6))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_203_exists__least__iff)). 0.79/1.05 thf(fact_12_polymul__eq0__iff, axiom, ![X11:polyno727731844poly_a, X12:nat, X13:polyno727731844poly_a, X14:nat]:(((polyno1372495879olyh_a @ X11 @ X12)=>((polyno1372495879olyh_a @ X13 @ X14)=>(((polyno1934269411ymul_a @ X11 @ X13)=(polyno439679028le_C_a @ zero_zero_a))<=>(((X11)=(polyno439679028le_C_a @ zero_zero_a))|((X13)=(polyno439679028le_C_a @ zero_zero_a))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_12_polymul__eq0__iff)). 0.79/1.05 thf(conj_3, conjecture, (((((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a)))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)=(zero_zero_nat)))&(~((((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a))))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)=(plus_plus_nat @ (polyno1674775833reen_a @ p @ m) @ (polyno1674775833reen_a @ q @ m))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)). 0.79/1.05 thf(fact_6_polymul__properties_I3_J, axiom, ![X11:polyno727731844poly_a, X12:nat, X13:polyno727731844poly_a, X14:nat, X15:nat]:(((polyno1372495879olyh_a @ X11 @ X12)=>((polyno1372495879olyh_a @ X13 @ X14)=>((ord_less_eq_nat @ X15 @ (ord_min_nat @ X12 @ X14))=>(((((X11)=(polyno439679028le_C_a @ zero_zero_a))|((X13)=(polyno439679028le_C_a @ zero_zero_a)))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X11 @ X13) @ X15)=(zero_zero_nat)))&(~((((X11)=(polyno439679028le_C_a @ zero_zero_a))|((X13)=(polyno439679028le_C_a @ zero_zero_a))))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X11 @ X13) @ X15)=(plus_plus_nat @ (polyno1674775833reen_a @ X11 @ X15) @ (polyno1674775833reen_a @ X13 @ X15))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_6_polymul__properties_I3_J)). 0.79/1.05 thf(conj_0, hypothesis, (polyno1372495879olyh_a @ p @ n0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.79/1.05 thf(conj_2, hypothesis, (ord_less_eq_nat @ m @ (ord_min_nat @ n0 @ n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 0.79/1.05 thf(conj_1, hypothesis, (polyno1372495879olyh_a @ q @ n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.79/1.05 thf(fact_3_degreen_Osimps_I2_J, axiom, ![X7:a]:(((polyno1674775833reen_a @ (polyno439679028le_C_a @ X7))=(^[X6:nat]:(zero_zero_nat)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_degreen_Osimps_I2_J)). 0.79/1.05 thf(c_0_9, plain, ![X10:a, X798:nat]:((polyno1372495879olyh_a @ (polyno439679028le_C_a @ X10) @ X798)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_5_isnpolyh_Osimps_I1_J])])])). 0.79/1.05 thf(c_0_10, plain, ![X827:nat > $o]:((?[X143:nat]:((X827 @ X143))<=>?[X100:nat]:(((X827 @ X100)&![X6:nat]:(((ord_less_nat @ X6 @ X100)=>~(X827 @ X6))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_203_exists__least__iff])])])). 0.79/1.05 thf(c_0_11, plain, ![X879:polyno727731844poly_a, X880:nat, X881:polyno727731844poly_a, X882:nat]:(((((polyno1934269411ymul_a @ X879 @ X881)!=(polyno439679028le_C_a @ zero_zero_a))|(((X879)=(polyno439679028le_C_a @ zero_zero_a))|((X881)=(polyno439679028le_C_a @ zero_zero_a)))|~(polyno1372495879olyh_a @ X881 @ X882)|~(polyno1372495879olyh_a @ X879 @ X880))&((((X879)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1934269411ymul_a @ X879 @ X881)=(polyno439679028le_C_a @ zero_zero_a))|~(polyno1372495879olyh_a @ X881 @ X882)|~(polyno1372495879olyh_a @ X879 @ X880))&(((X881)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1934269411ymul_a @ X879 @ X881)=(polyno439679028le_C_a @ zero_zero_a))|~(polyno1372495879olyh_a @ X881 @ X882)|~(polyno1372495879olyh_a @ X879 @ X880))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_polymul__eq0__iff])])])). 0.79/1.05 thf(c_0_12, plain, ![X852:a, X853:nat]:((polyno1372495879olyh_a @ (polyno439679028le_C_a @ X852) @ X853)), inference(variable_rename,[status(thm)],[c_0_9])). 0.79/1.05 thf(c_0_13, plain, ![X1370:nat > $o, X1371:nat, X1373:nat, X1374:nat > $o, X1375:nat]:(((((X1370 @ (esk29_1 @ X1370))|~(X1370 @ X1371))&(~(ord_less_nat @ X1373 @ (esk29_1 @ X1370))|~(X1370 @ X1373)|~(X1370 @ X1371)))&(((ord_less_nat @ (esk30_2 @ X1374 @ X1375) @ X1375)|~(X1374 @ X1375)|(X1374 @ (esk31_1 @ X1374)))&((X1374 @ (esk30_2 @ X1374 @ X1375))|~(X1374 @ X1375)|(X1374 @ (esk31_1 @ X1374)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])])). 0.79/1.05 thf(c_0_14, negated_conjecture, ~((((((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a)))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)=(zero_zero_nat)))&(~((((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a))))=>((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)=(plus_plus_nat @ (polyno1674775833reen_a @ p @ m) @ (polyno1674775833reen_a @ q @ m)))))), inference(assume_negation,[status(cth)],[conj_3])). 0.79/1.05 thf(c_0_15, plain, ![X854:polyno727731844poly_a, X855:nat, X856:polyno727731844poly_a, X857:nat, X858:nat]:((((((X854)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X854 @ X856) @ X858)=(zero_zero_nat))|~(ord_less_eq_nat @ X858 @ (ord_min_nat @ X855 @ X857))|~(polyno1372495879olyh_a @ X856 @ X857)|~(polyno1372495879olyh_a @ X854 @ X855))&(((X856)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X854 @ X856) @ X858)=(zero_zero_nat))|~(ord_less_eq_nat @ X858 @ (ord_min_nat @ X855 @ X857))|~(polyno1372495879olyh_a @ X856 @ X857)|~(polyno1372495879olyh_a @ X854 @ X855)))&(((X854)=(polyno439679028le_C_a @ zero_zero_a))|((X856)=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X854 @ X856) @ X858)=(plus_plus_nat @ (polyno1674775833reen_a @ X854 @ X858) @ (polyno1674775833reen_a @ X856 @ X858)))|~(ord_less_eq_nat @ X858 @ (ord_min_nat @ X855 @ X857))|~(polyno1372495879olyh_a @ X856 @ X857)|~(polyno1372495879olyh_a @ X854 @ X855)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6_polymul__properties_I3_J])])])). 0.79/1.05 thf(c_0_16, plain, ![X11:polyno727731844poly_a, X1:nat, X13:polyno727731844poly_a, X2:nat]:((((polyno1934269411ymul_a @ X13 @ X11)=(polyno439679028le_C_a @ zero_zero_a))|((X11)!=(polyno439679028le_C_a @ zero_zero_a))|~((polyno1372495879olyh_a @ X11 @ X1))|~((polyno1372495879olyh_a @ X13 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.79/1.05 thf(c_0_17, plain, ![X3:a, X1:nat]:((polyno1372495879olyh_a @ (polyno439679028le_C_a @ X3) @ X1)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.79/1.05 thf(c_0_18, plain, ![X79:nat > $o, X1:nat]:(((X79 @ (esk29_1 @ X79))|~((X79 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.79/1.05 thf(c_0_19, hypothesis, (polyno1372495879olyh_a @ p @ n0), inference(split_conjunct,[status(thm)],[conj_0])). 0.79/1.05 thf(c_0_20, negated_conjecture, ((((((p)!=(polyno439679028le_C_a @ zero_zero_a))|(((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a))))&(((q)!=(polyno439679028le_C_a @ zero_zero_a))|(((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a)))))&(((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(plus_plus_nat @ (polyno1674775833reen_a @ p @ m) @ (polyno1674775833reen_a @ q @ m)))|(((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a)))))&(((((p)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat)))&(((q)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat))))&(((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(plus_plus_nat @ (polyno1674775833reen_a @ p @ m) @ (polyno1674775833reen_a @ q @ m)))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 0.79/1.05 thf(c_0_21, plain, ![X1:nat, X11:polyno727731844poly_a, X13:polyno727731844poly_a, X5:nat, X2:nat]:((((X11)=(polyno439679028le_C_a @ zero_zero_a))|((X13)=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ X11 @ X13) @ X1)=(plus_plus_nat @ (polyno1674775833reen_a @ X11 @ X1) @ (polyno1674775833reen_a @ X13 @ X1)))|~((ord_less_eq_nat @ X1 @ (ord_min_nat @ X2 @ X5)))|~((polyno1372495879olyh_a @ X13 @ X5))|~((polyno1372495879olyh_a @ X11 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.79/1.05 thf(c_0_22, hypothesis, (ord_less_eq_nat @ m @ (ord_min_nat @ n0 @ n1)), inference(split_conjunct,[status(thm)],[conj_2])). 0.79/1.05 thf(c_0_23, plain, ![X11:polyno727731844poly_a, X1:nat]:((((polyno1934269411ymul_a @ X11 @ (polyno439679028le_C_a @ zero_zero_a))=(polyno439679028le_C_a @ zero_zero_a))|~((polyno1372495879olyh_a @ X11 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_16]), c_0_17])])). 0.79/1.05 thf(c_0_24, hypothesis, (polyno1372495879olyh_a @ p @ (esk29_1 @ (polyno1372495879olyh_a @ p))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.79/1.05 thf(c_0_25, negated_conjecture, (((p)=(polyno439679028le_C_a @ zero_zero_a))|((q)=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(plus_plus_nat @ (polyno1674775833reen_a @ p @ m) @ (polyno1674775833reen_a @ q @ m)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.79/1.05 thf(c_0_26, hypothesis, ![X13:polyno727731844poly_a, X11:polyno727731844poly_a]:((((plus_plus_nat @ (polyno1674775833reen_a @ X11 @ m) @ (polyno1674775833reen_a @ X13 @ m))=(polyno1674775833reen_a @ (polyno1934269411ymul_a @ X11 @ X13) @ m))|((X11)=(polyno439679028le_C_a @ zero_zero_a))|((X13)=(polyno439679028le_C_a @ zero_zero_a))|~((polyno1372495879olyh_a @ X13 @ n1))|~((polyno1372495879olyh_a @ X11 @ n0)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.79/1.05 thf(c_0_27, hypothesis, (polyno1372495879olyh_a @ q @ n1), inference(split_conjunct,[status(thm)],[conj_1])). 0.79/1.05 thf(c_0_28, plain, ![X7:a, X796:nat]:(((polyno1674775833reen_a @ (polyno439679028le_C_a @ X7) @ X796)=(zero_zero_nat))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_3_degreen_Osimps_I2_J])])). 0.79/1.05 thf(c_0_29, hypothesis, ((polyno1934269411ymul_a @ p @ (polyno439679028le_C_a @ zero_zero_a))=(polyno439679028le_C_a @ zero_zero_a)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.79/1.05 thf(c_0_30, negated_conjecture, (((polyno439679028le_C_a @ zero_zero_a)=(q))|((polyno439679028le_C_a @ zero_zero_a)=(p))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_19])])). 0.79/1.05 thf(c_0_31, plain, ![X848:a, X849:nat]:(((polyno1674775833reen_a @ (polyno439679028le_C_a @ X848) @ X849)=(zero_zero_nat))), inference(variable_rename,[status(thm)],[c_0_28])). 0.79/1.05 thf(c_0_32, negated_conjecture, (((q)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.79/1.05 thf(c_0_33, hypothesis, (((polyno1934269411ymul_a @ p @ q)=(q))|((polyno439679028le_C_a @ zero_zero_a)=(p))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.79/1.05 thf(c_0_34, plain, ![X3:a, X1:nat]:(((polyno1674775833reen_a @ (polyno439679028le_C_a @ X3) @ X1)=(zero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.79/1.05 thf(c_0_35, negated_conjecture, (((q)=(p))|((polyno1674775833reen_a @ q @ m)!=(zero_zero_nat))|((polyno439679028le_C_a @ zero_zero_a)!=(q))), inference(local_rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33])])). 0.79/1.05 thf(c_0_36, negated_conjecture, ![X1:nat]:((((polyno1674775833reen_a @ q @ X1)=(zero_zero_nat))|((polyno439679028le_C_a @ zero_zero_a)=(p)))), inference(spm,[status(thm)],[c_0_34, c_0_30])). 0.79/1.05 thf(c_0_37, plain, ![X11:polyno727731844poly_a, X1:nat, X13:polyno727731844poly_a, X2:nat]:((((polyno1934269411ymul_a @ X11 @ X13)=(polyno439679028le_C_a @ zero_zero_a))|((X11)!=(polyno439679028le_C_a @ zero_zero_a))|~((polyno1372495879olyh_a @ X13 @ X1))|~((polyno1372495879olyh_a @ X11 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.79/1.05 thf(c_0_38, negated_conjecture, (((q)=(p))|((polyno439679028le_C_a @ zero_zero_a)!=(q))), inference(local_rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36])])])). 0.79/1.05 thf(c_0_39, negated_conjecture, (((polyno439679028le_C_a @ zero_zero_a)=(p))|((q)!=(p))), inference(ef,[status(thm)],[c_0_30])). 0.79/1.05 thf(c_0_40, plain, ![X11:polyno727731844poly_a, X1:nat]:((((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X11)=(polyno439679028le_C_a @ zero_zero_a))|~((polyno1372495879olyh_a @ X11 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_37]), c_0_17])])). 0.79/1.05 thf(c_0_41, hypothesis, (polyno1372495879olyh_a @ q @ (esk29_1 @ (polyno1372495879olyh_a @ q))), inference(spm,[status(thm)],[c_0_18, c_0_27])). 0.79/1.05 thf(c_0_42, negated_conjecture, (((p)!=(polyno439679028le_C_a @ zero_zero_a))|((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.79/1.05 thf(c_0_43, negated_conjecture, ((polyno439679028le_C_a @ zero_zero_a)=(p)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_30]), c_0_39])). 0.79/1.05 thf(c_0_44, hypothesis, ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ q)=(polyno439679028le_C_a @ zero_zero_a)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.79/1.05 thf(c_0_45, negated_conjecture, ((polyno1674775833reen_a @ (polyno1934269411ymul_a @ p @ q) @ m)!=(zero_zero_nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])). 0.79/1.05 thf(c_0_46, hypothesis, ((polyno1934269411ymul_a @ p @ q)=(p)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_43]), c_0_43])). 0.79/1.05 thf(c_0_47, negated_conjecture, ((polyno1674775833reen_a @ p @ m)!=(zero_zero_nat)), inference(rw,[status(thm)],[c_0_45, c_0_46])). 0.79/1.05 thf(c_0_48, negated_conjecture, ![X1:nat]:(((polyno1674775833reen_a @ p @ X1)=(zero_zero_nat))), inference(spm,[status(thm)],[c_0_34, c_0_43])). 0.79/1.05 thf(c_0_49, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])]), ['proof']). 0.79/1.05 # SZS output end CNFRefutation 0.79/1.05 # Parsed axioms : 303 0.79/1.05 # Removed by relevancy pruning/SinE : 0 0.79/1.05 # Initial clauses : 507 0.79/1.05 # Removed in clause preprocessing : 56 0.79/1.05 # Initial clauses in saturation : 451 0.79/1.05 # Processed clauses : 2482 0.79/1.05 # ...of these trivial : 90 0.79/1.05 # ...subsumed : 1283 0.79/1.05 # ...remaining for further processing : 1109 0.79/1.05 # Other redundant clauses eliminated : 517 0.79/1.05 # Clauses deleted for lack of memory : 0 0.79/1.05 # Backward-subsumed : 26 0.79/1.05 # Backward-rewritten : 86 0.79/1.05 # Generated clauses : 44066 0.79/1.05 # ...of the previous two non-redundant : 39358 0.79/1.05 # ...aggressively subsumed : 0 0.79/1.05 # Contextual simplify-reflections : 41 0.79/1.05 # Paramodulations : 43515 0.79/1.05 # Factorizations : 7 0.79/1.05 # NegExts : 0 0.79/1.05 # Equation resolutions : 534 0.79/1.05 # Propositional unsat checks : 0 0.79/1.05 # Propositional check models : 0 0.79/1.05 # Propositional check unsatisfiable : 0 0.79/1.05 # Propositional clauses : 0 0.79/1.05 # Propositional clauses after purity: 0 0.79/1.05 # Propositional unsat core size : 0 0.79/1.05 # Propositional preprocessing time : 0.000 0.79/1.05 # Propositional encoding time : 0.000 0.79/1.05 # Propositional solver time : 0.000 0.79/1.05 # Success case prop preproc time : 0.000 0.79/1.05 # Success case prop encoding time : 0.000 0.79/1.05 # Success case prop solver time : 0.000 0.79/1.05 # Current number of processed clauses : 738 0.79/1.05 # Positive orientable unit clauses : 85 0.79/1.05 # Positive unorientable unit clauses: 9 0.79/1.05 # Negative unit clauses : 29 0.79/1.05 # Non-unit-clauses : 615 0.79/1.05 # Current number of unprocessed clauses: 37476 0.79/1.05 # ...number of literals in the above : 116156 0.79/1.05 # Current number of archived formulas : 0 0.79/1.05 # Current number of archived clauses : 305 0.79/1.05 # Clause-clause subsumption calls (NU) : 98166 0.79/1.05 # Rec. Clause-clause subsumption calls : 77961 0.79/1.05 # Non-unit clause-clause subsumptions : 1005 0.79/1.05 # Unit Clause-clause subsumption calls : 3597 0.79/1.05 # Rewrite failures with RHS unbound : 0 0.79/1.05 # BW rewrite match attempts : 219 0.79/1.05 # BW rewrite match successes : 165 0.79/1.05 # Condensation attempts : 2482 0.79/1.05 # Condensation successes : 69 0.79/1.05 # Termbank termtop insertions : 480036 0.79/1.05 0.79/1.05 # ------------------------------------------------- 0.79/1.05 # User time : 0.621 s 0.79/1.05 # System time : 0.027 s 0.79/1.05 # Total time : 0.648 s 0.79/1.05 # Maximum resident set size: 3716 pages 0.79/1.05 0.79/1.05 # ------------------------------------------------- 0.79/1.05 # User time : 0.629 s 0.79/1.05 # System time : 0.028 s 0.79/1.05 # Total time : 0.657 s 0.79/1.05 # Maximum resident set size: 2004 pages 0.79/1.05 EOF