0.03/0.12 % Problem : SLH267^1 : TPTP v7.5.0. Released v7.5.0. 0.03/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n016.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 03:02:12 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.47 The problem SPC is TH0_THM_EQU_NAR 0.19/0.47 Running higher-order on 1 cores theorem proving 0.19/0.47 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 0.19/0.47 # Version: 3.0pre003-ho 1.50/1.69 # Preprocessing class: HSLSSMSMSSSNSFA. 1.50/1.69 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.69 # Starting new_ho_10 with 30s (1) cores 1.50/1.69 # new_ho_10 with pid 1493 completed with status 0 1.50/1.69 # Result found by new_ho_10 1.50/1.69 # Preprocessing class: HSLSSMSMSSSNSFA. 1.50/1.69 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.69 # Starting new_ho_10 with 30s (1) cores 1.50/1.69 # No SInE strategy applied 1.50/1.69 # Search class: HGHSM-FSLM31-MSFFFFBN 1.50/1.69 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.50/1.69 # Starting new_ho_10 with 19s (1) cores 1.50/1.69 # new_ho_10 with pid 1494 completed with status 0 1.50/1.69 # Result found by new_ho_10 1.50/1.69 # Preprocessing class: HSLSSMSMSSSNSFA. 1.50/1.69 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.69 # Starting new_ho_10 with 30s (1) cores 1.50/1.69 # No SInE strategy applied 1.50/1.69 # Search class: HGHSM-FSLM31-MSFFFFBN 1.50/1.69 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.50/1.69 # Starting new_ho_10 with 19s (1) cores 1.50/1.69 # Preprocessing time : 0.007 s 1.50/1.69 # Presaturation interreduction done 1.50/1.69 1.50/1.69 # Proof found! 1.50/1.69 # SZS status Theorem 1.50/1.69 # SZS output start CNFRefutation 1.50/1.69 thf(decl_22, type, times_times_nat: nat > nat > nat). 1.50/1.69 thf(decl_23, type, times_times_poly_nat: poly_nat > poly_nat > poly_nat). 1.50/1.69 thf(decl_24, type, times_775122617y_real: poly_real > poly_real > poly_real). 1.50/1.69 thf(decl_25, type, times_times_real: real > real > real). 1.50/1.69 thf(decl_26, type, uminus262047109y_real: poly_poly_real > poly_poly_real). 1.50/1.69 thf(decl_27, type, uminus1613791741y_real: poly_real > poly_real). 1.50/1.69 thf(decl_28, type, uminus_uminus_real: real > real). 1.50/1.69 thf(decl_29, type, zero_zero_nat: nat). 1.50/1.69 thf(decl_30, type, zero_zero_poly_nat: poly_nat). 1.50/1.69 thf(decl_31, type, zero_z1423781445y_real: poly_poly_real). 1.50/1.69 thf(decl_32, type, zero_zero_poly_real: poly_real). 1.50/1.69 thf(decl_33, type, zero_zero_real: real). 1.50/1.69 thf(decl_34, type, cons_poly_real: poly_real > list_poly_real > list_poly_real). 1.50/1.69 thf(decl_35, type, set_poly_real2: list_poly_real > set_poly_real). 1.50/1.69 thf(decl_36, type, size_s259235672y_real: list_poly_real > nat). 1.50/1.69 thf(decl_37, type, ord_less_nat: nat > nat > $o). 1.50/1.69 thf(decl_38, type, ord_less_poly_real: poly_real > poly_real > $o). 1.50/1.69 thf(decl_39, type, ord_less_real: real > real > $o). 1.50/1.69 thf(decl_40, type, ord_less_eq_nat: nat > nat > $o). 1.50/1.69 thf(decl_41, type, ord_le1180086932y_real: poly_real > poly_real > $o). 1.50/1.69 thf(decl_42, type, ord_less_eq_real: real > real > $o). 1.50/1.69 thf(decl_43, type, poly_nat2: poly_nat > nat > nat). 1.50/1.69 thf(decl_44, type, poly_poly_real2: poly_poly_real > poly_real > poly_real). 1.50/1.69 thf(decl_45, type, poly_real2: poly_real > real > real). 1.50/1.69 thf(decl_46, type, modulo_modulo_nat: nat > nat > nat). 1.50/1.69 thf(decl_47, type, modulo274623814y_real: poly_real > poly_real > poly_real). 1.50/1.69 thf(decl_48, type, modulo_modulo_real: real > real > real). 1.50/1.69 thf(decl_49, type, collect_poly_real: (poly_real > $o) > set_poly_real). 1.50/1.69 thf(decl_50, type, sturm_1425988149t_real: list_poly_real > real > int). 1.50/1.69 thf(decl_51, type, sturm_1250581802_smods: poly_real > poly_real > list_poly_real). 1.50/1.69 thf(decl_52, type, member_poly_real: poly_real > set_poly_real > $o). 1.50/1.69 thf(decl_53, type, a: real). 1.50/1.69 thf(decl_54, type, a2: real). 1.50/1.69 thf(decl_55, type, p: poly_real). 1.50/1.69 thf(decl_56, type, pa: poly_real). 1.50/1.69 thf(decl_57, type, ps: list_poly_real). 1.50/1.69 thf(decl_58, type, q: poly_real). 1.50/1.69 thf(decl_59, type, qa: poly_real). 1.50/1.69 thf(decl_60, type, r1: poly_real). 1.50/1.69 thf(decl_61, type, r2: poly_real). 1.50/1.69 thf(decl_62, type, esk1_3: list_poly_real > poly_real > poly_real > poly_real). 1.50/1.69 thf(decl_63, type, esk2_3: list_poly_real > poly_real > poly_real > real). 1.50/1.69 thf(decl_64, type, esk3_0: list_poly_real). 1.50/1.69 thf(decl_65, type, esk4_1: (poly_real > poly_real > $o) > poly_real). 1.50/1.69 thf(decl_66, type, esk5_1: (poly_real > poly_real > $o) > poly_real). 1.50/1.69 thf(decl_67, type, esk6_2: poly_real > real > real). 1.50/1.69 thf(decl_68, type, esk7_2: poly_real > real > real). 1.50/1.69 thf(decl_69, type, esk8_3: real > real > poly_real > real). 1.50/1.69 thf(decl_70, type, esk9_3: real > real > poly_real > real). 1.50/1.69 thf(decl_71, type, esk10_3: real > real > poly_real > real). 1.50/1.69 thf(decl_72, type, esk11_3: real > real > poly_real > real). 1.50/1.69 thf(decl_73, type, esk12_3: real > real > poly_real > real). 1.50/1.69 thf(decl_74, type, esk13_3: real > real > poly_real > real). 1.50/1.69 thf(decl_75, type, esk14_1: poly_poly_real > poly_real). 1.50/1.69 thf(decl_76, type, esk15_1: poly_real > real). 1.50/1.69 thf(decl_77, type, esk16_3: real > real > poly_real > real). 1.50/1.69 thf(decl_78, type, esk17_3: real > real > poly_real > real). 1.50/1.69 thf(decl_79, type, esk18_3: real > real > poly_real > real). 1.50/1.69 thf(decl_80, type, esk19_1: (nat > $o) > nat). 1.50/1.69 thf(decl_81, type, esk20_1: (nat > $o) > nat). 1.50/1.69 thf(decl_82, type, esk21_2: (nat > $o) > nat > nat). 1.50/1.69 thf(decl_83, type, esk22_1: (nat > $o) > nat). 1.50/1.69 thf(decl_84, type, esk23_1: (nat > $o) > nat). 1.50/1.69 thf(decl_85, type, esk24_1: (nat > nat) > nat). 1.50/1.69 thf(decl_86, type, esk25_1: (nat > nat) > nat). 1.50/1.69 thf(decl_87, type, esk26_2: (nat > $o) > nat > nat). 1.50/1.69 thf(decl_88, type, epred1_1: set_poly_real > poly_real > $o). 1.50/1.69 thf(decl_89, type, esk27_2: poly_real > poly_real > real). 1.50/1.69 thf(fact_11__C1_Ohyps_C, axiom, ![X3:list_poly_real]:(((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))=>![X1:poly_real, X4:poly_real]:((((X3)=(sturm_1250581802_smods @ X1 @ X4))=>(((poly_real2 @ X1 @ a)!=(zero_zero_real))=>(![X5:poly_real]:(((member_poly_real @ X5 @ (set_poly_real2 @ (sturm_1250581802_smods @ X1 @ X4)))=>![X6:real]:(((((ord_less_real @ a @ X6)&(ord_less_eq_real @ X6 @ a2))|((ord_less_eq_real @ a2 @ X6)&(ord_less_real @ X6 @ a)))=>((poly_real2 @ X5 @ X6)!=(zero_zero_real))))))=>((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_11__C1_Ohyps_C)). 1.50/1.69 thf(fact_8__092_060open_062_092_060forall_062p_092_060in_062set_A_Ismods_Ar1_Ar2_J_O_A_092_060forall_062x_O_Aa_A_060_Ax_A_092_060and_062_Ax_A_092_060le_062_Aa_H_A_092_060or_062_Aa_H_A_092_060le_062_Ax_A_092_060and_062_Ax_A_060_Aa_A_092_060longrightarrow_062_Apoly_Ap_Ax_A_092_060noteq_062_A0_092_060close_062, axiom, ![X1:poly_real]:(((member_poly_real @ X1 @ (set_poly_real2 @ (sturm_1250581802_smods @ r1 @ r2)))=>![X2:real]:(((((ord_less_real @ a @ X2)&(ord_less_eq_real @ X2 @ a2))|((ord_less_eq_real @ a2 @ X2)&(ord_less_real @ X2 @ a)))=>((poly_real2 @ X1 @ X2)!=(zero_zero_real)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8__092_060open_062_092_060forall_062p_092_060in_062set_A_Ismods_Ar1_Ar2_J_O_A_092_060forall_062x_O_Aa_A_060_Ax_A_092_060and_062_Ax_A_092_060le_062_Aa_H_A_092_060or_062_Aa_H_A_092_060le_062_Ax_A_092_060and_062_Ax_A_060_Aa_A_092_060longrightarrow_062_Apoly_Ap_Ax_A_092_060noteq_062_A0_092_060close_062)). 1.50/1.69 thf(conj_0, conjecture, ((sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 1.50/1.69 thf(fact_7__092_060open_062length_A_Ismods_Ar1_Ar2_J_A_060_Alength_A_Ismods_Ap_Aq_J_092_060close_062, axiom, (ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ r1 @ r2)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7__092_060open_062length_A_Ismods_Ar1_Ar2_J_A_060_Alength_A_Ismods_Ap_Aq_J_092_060close_062)). 1.50/1.69 thf(fact_2__092_060open_062poly_Ar1_Aa_A_092_060noteq_062_A0_092_060close_062, axiom, ((poly_real2 @ r1 @ a)!=(zero_zero_real)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2__092_060open_062poly_Ar1_Aa_A_092_060noteq_062_A0_092_060close_062)). 1.50/1.69 thf(c_0_5, plain, ![X1105:list_poly_real, X1106:poly_real, X1107:poly_real]:((((member_poly_real @ (esk1_3 @ X1105 @ X1106 @ X1107) @ (set_poly_real2 @ (sturm_1250581802_smods @ X1106 @ X1107)))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))))&(((((ord_less_eq_real @ a2 @ (esk2_3 @ X1105 @ X1106 @ X1107))|(ord_less_real @ a @ (esk2_3 @ X1105 @ X1106 @ X1107))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))))&((ord_less_real @ (esk2_3 @ X1105 @ X1106 @ X1107) @ a)|(ord_less_real @ a @ (esk2_3 @ X1105 @ X1106 @ X1107))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))&(((ord_less_eq_real @ a2 @ (esk2_3 @ X1105 @ X1106 @ X1107))|(ord_less_eq_real @ (esk2_3 @ X1105 @ X1106 @ X1107) @ a2)|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))))&((ord_less_real @ (esk2_3 @ X1105 @ X1106 @ X1107) @ a)|(ord_less_eq_real @ (esk2_3 @ X1105 @ X1106 @ X1107) @ a2)|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))))))&(((poly_real2 @ (esk1_3 @ X1105 @ X1106 @ X1107) @ (esk2_3 @ X1105 @ X1106 @ X1107))=(zero_zero_real))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1106 @ X1107) @ a2))|((poly_real2 @ X1106 @ a)=(zero_zero_real))|((X1105)!=(sturm_1250581802_smods @ X1106 @ X1107))|~(ord_less_nat @ (size_s259235672y_real @ X1105) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11__C1_Ohyps_C])])])])])). 1.50/1.69 thf(c_0_6, plain, ![X1103:poly_real, X1104:real]:(((~(ord_less_real @ a @ X1104)|~(ord_less_eq_real @ X1104 @ a2)|((poly_real2 @ X1103 @ X1104)!=(zero_zero_real))|~(member_poly_real @ X1103 @ (set_poly_real2 @ (sturm_1250581802_smods @ r1 @ r2))))&(~(ord_less_eq_real @ a2 @ X1104)|~(ord_less_real @ X1104 @ a)|((poly_real2 @ X1103 @ X1104)!=(zero_zero_real))|~(member_poly_real @ X1103 @ (set_poly_real2 @ (sturm_1250581802_smods @ r1 @ r2)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8__092_060open_062_092_060forall_062p_092_060in_062set_A_Ismods_Ar1_Ar2_J_O_A_092_060forall_062x_O_Aa_A_060_Ax_A_092_060and_062_Ax_A_092_060le_062_Aa_H_A_092_060or_062_Aa_H_A_092_060le_062_Ax_A_092_060and_062_Ax_A_060_Aa_A_092_060longrightarrow_062_Apoly_Ap_Ax_A_092_060noteq_062_A0_092_060close_062])])])])). 1.50/1.69 thf(c_0_7, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:(((member_poly_real @ (esk1_3 @ X3 @ X1 @ X4) @ (set_poly_real2 @ (sturm_1250581802_smods @ X1 @ X4)))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_8, negated_conjecture, ((sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a)!=(sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a2)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.50/1.69 thf(c_0_9, plain, ![X2:real, X1:poly_real]:((~((ord_less_eq_real @ a2 @ X2))|~((ord_less_real @ X2 @ a))|((poly_real2 @ X1 @ X2)!=(zero_zero_real))|~((member_poly_real @ X1 @ (set_poly_real2 @ (sturm_1250581802_smods @ r1 @ r2)))))), inference(split_conjunct,[status(thm)],[c_0_6])). 1.50/1.69 thf(c_0_10, plain, ![X1:poly_real, X4:poly_real]:((((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|(member_poly_real @ (esk1_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ (set_poly_real2 @ (sturm_1250581802_smods @ X1 @ X4)))|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_7])). 1.50/1.69 thf(c_0_11, plain, (ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ r1 @ r2)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa))), inference(split_conjunct,[status(thm)],[fact_7__092_060open_062length_A_Ismods_Ar1_Ar2_J_A_060_Alength_A_Ismods_Ap_Aq_J_092_060close_062])). 1.50/1.69 thf(c_0_12, negated_conjecture, ((sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a)!=(sturm_1425988149t_real @ (sturm_1250581802_smods @ r1 @ r2) @ a2)), inference(split_conjunct,[status(thm)],[c_0_8])). 1.50/1.69 thf(c_0_13, plain, ((poly_real2 @ r1 @ a)!=(zero_zero_real)), inference(split_conjunct,[status(thm)],[fact_2__092_060open_062poly_Ar1_Aa_A_092_060noteq_062_A0_092_060close_062])). 1.50/1.69 thf(c_0_14, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:((((poly_real2 @ (esk1_3 @ X3 @ X1 @ X4) @ (esk2_3 @ X3 @ X1 @ X4))=(zero_zero_real))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_15, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:(((ord_less_eq_real @ a2 @ (esk2_3 @ X3 @ X1 @ X4))|(ord_less_real @ a @ (esk2_3 @ X3 @ X1 @ X4))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_16, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:(((ord_less_real @ (esk2_3 @ X3 @ X1 @ X4) @ a)|(ord_less_real @ a @ (esk2_3 @ X3 @ X1 @ X4))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_17, plain, ![X2:real, X1:poly_real]:((~((ord_less_real @ a @ X2))|~((ord_less_eq_real @ X2 @ a2))|((poly_real2 @ X1 @ X2)!=(zero_zero_real))|~((member_poly_real @ X1 @ (set_poly_real2 @ (sturm_1250581802_smods @ r1 @ r2)))))), inference(split_conjunct,[status(thm)],[c_0_6])). 1.50/1.69 thf(c_0_18, plain, ![X2:real]:((((poly_real2 @ (esk1_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ X2)!=(zero_zero_real))|~((ord_less_real @ X2 @ a))|~((ord_less_eq_real @ a2 @ X2)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_19, plain, ![X1:poly_real, X4:poly_real]:((((poly_real2 @ (esk1_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4))=(zero_zero_real))|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_14])). 1.50/1.69 thf(c_0_20, plain, ![X1:poly_real, X4:poly_real]:((((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|(ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4))|(ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_15])). 1.50/1.69 thf(c_0_21, plain, ![X1:poly_real, X4:poly_real]:((((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|(ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4))|(ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ a)|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_16])). 1.50/1.69 thf(c_0_22, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:(((ord_less_eq_real @ a2 @ (esk2_3 @ X3 @ X1 @ X4))|(ord_less_eq_real @ (esk2_3 @ X3 @ X1 @ X4) @ a2)|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_23, plain, ![X2:real]:((((poly_real2 @ (esk1_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ X2)!=(zero_zero_real))|~((ord_less_eq_real @ X2 @ a2))|~((ord_less_real @ a @ X2)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_10]), c_0_11])]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_24, plain, (~((ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a))|~((ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_11])]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_25, plain, ((ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2))|(ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_11]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_26, plain, ((ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2))|(ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_11]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_27, plain, ![X1:poly_real, X4:poly_real, X3:list_poly_real]:(((ord_less_real @ (esk2_3 @ X3 @ X1 @ X4) @ a)|(ord_less_eq_real @ (esk2_3 @ X3 @ X1 @ X4) @ a2)|((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2))|((poly_real2 @ X1 @ a)=(zero_zero_real))|((X3)!=(sturm_1250581802_smods @ X1 @ X4))|~((ord_less_nat @ (size_s259235672y_real @ X3) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.50/1.69 thf(c_0_28, plain, ![X1:poly_real, X4:poly_real]:((((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|(ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4))|(ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ a2)|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_22])). 1.50/1.69 thf(c_0_29, plain, (~((ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a2))|~((ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_19]), c_0_11])]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_30, plain, (ord_less_real @ a @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 1.50/1.69 thf(c_0_31, plain, ![X1:poly_real, X4:poly_real]:((((sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a2)=(sturm_1425988149t_real @ (sturm_1250581802_smods @ X1 @ X4) @ a))|((poly_real2 @ X1 @ a)=(zero_zero_real))|(ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ a)|(ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ X1 @ X4) @ X1 @ X4) @ a2)|~((ord_less_nat @ (size_s259235672y_real @ (sturm_1250581802_smods @ X1 @ X4)) @ (size_s259235672y_real @ (sturm_1250581802_smods @ pa @ qa)))))), inference(er,[status(thm)],[c_0_27])). 1.50/1.69 thf(c_0_32, plain, ((ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2))|(ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a2)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_11]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_33, plain, ~((ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])). 1.50/1.69 thf(c_0_34, plain, ((ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a)|(ord_less_eq_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a2)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_11]), c_0_12]), c_0_13])). 1.50/1.69 thf(c_0_35, plain, (ord_less_eq_real @ a2 @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2)), inference(sr,[status(thm)],[c_0_32, c_0_33])). 1.50/1.69 thf(c_0_36, plain, (ord_less_real @ (esk2_3 @ (sturm_1250581802_smods @ r1 @ r2) @ r1 @ r2) @ a), inference(sr,[status(thm)],[c_0_34, c_0_33])). 1.50/1.69 thf(c_0_37, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_35])]), c_0_36])]), ['proof']). 1.50/1.69 # SZS output end CNFRefutation 1.50/1.69 # Parsed axioms : 398 1.50/1.69 # Removed by relevancy pruning/SinE : 0 1.50/1.69 # Initial clauses : 630 1.50/1.69 # Removed in clause preprocessing : 75 1.50/1.69 # Initial clauses in saturation : 555 1.50/1.69 # Processed clauses : 4725 1.50/1.69 # ...of these trivial : 127 1.50/1.69 # ...subsumed : 2490 1.50/1.69 # ...remaining for further processing : 2107 1.50/1.69 # Other redundant clauses eliminated : 259 1.50/1.69 # Clauses deleted for lack of memory : 0 1.50/1.69 # Backward-subsumed : 14 1.50/1.69 # Backward-rewritten : 15 1.50/1.69 # Generated clauses : 78619 1.50/1.69 # ...of the previous two non-redundant : 70083 1.50/1.69 # ...aggressively subsumed : 0 1.50/1.69 # Contextual simplify-reflections : 18 1.50/1.69 # Paramodulations : 78299 1.50/1.69 # Factorizations : 16 1.50/1.69 # NegExts : 1 1.50/1.69 # Equation resolutions : 297 1.50/1.69 # Propositional unsat checks : 0 1.50/1.69 # Propositional check models : 0 1.50/1.69 # Propositional check unsatisfiable : 0 1.50/1.69 # Propositional clauses : 0 1.50/1.69 # Propositional clauses after purity: 0 1.50/1.69 # Propositional unsat core size : 0 1.50/1.69 # Propositional preprocessing time : 0.000 1.50/1.69 # Propositional encoding time : 0.000 1.50/1.69 # Propositional solver time : 0.000 1.50/1.69 # Success case prop preproc time : 0.000 1.50/1.69 # Success case prop encoding time : 0.000 1.50/1.69 # Success case prop solver time : 0.000 1.50/1.69 # Current number of processed clauses : 1654 1.50/1.69 # Positive orientable unit clauses : 217 1.50/1.69 # Positive unorientable unit clauses: 15 1.50/1.69 # Negative unit clauses : 47 1.50/1.69 # Non-unit-clauses : 1375 1.50/1.69 # Current number of unprocessed clauses: 66150 1.50/1.69 # ...number of literals in the above : 266193 1.50/1.69 # Current number of archived formulas : 0 1.50/1.69 # Current number of archived clauses : 385 1.50/1.69 # Clause-clause subsumption calls (NU) : 818246 1.50/1.69 # Rec. Clause-clause subsumption calls : 292843 1.50/1.69 # Non-unit clause-clause subsumptions : 1593 1.50/1.69 # Unit Clause-clause subsumption calls : 7601 1.50/1.69 # Rewrite failures with RHS unbound : 0 1.50/1.69 # BW rewrite match attempts : 283 1.50/1.69 # BW rewrite match successes : 146 1.50/1.69 # Condensation attempts : 4725 1.50/1.69 # Condensation successes : 72 1.50/1.69 # Termbank termtop insertions : 1320604 1.50/1.69 1.50/1.69 # ------------------------------------------------- 1.50/1.69 # User time : 1.157 s 1.50/1.69 # System time : 0.046 s 1.50/1.69 # Total time : 1.204 s 1.50/1.69 # Maximum resident set size: 4144 pages 1.50/1.69 1.50/1.69 # ------------------------------------------------- 1.50/1.69 # User time : 1.169 s 1.50/1.69 # System time : 0.049 s 1.50/1.69 # Total time : 1.217 s 1.50/1.69 # Maximum resident set size: 2256 pages 1.50/1.69 EOF