0.11/0.12 % Problem : SLH666^1 : TPTP v7.5.0. Released v7.5.0. 0.11/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n003.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 03:23:06 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 17.38/17.79 # Preprocessing class: HSLSSMSMSSLNSFA. 17.38/17.79 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.38/17.79 # Starting sh7 with 30s (1) cores 17.38/17.79 # sh7 with pid 4544 completed with status 0 17.38/17.79 # Result found by sh7 17.38/17.79 # Preprocessing class: HSLSSMSMSSLNSFA. 17.38/17.79 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.38/17.79 # Starting sh7 with 30s (1) cores 17.38/17.79 # No SInE strategy applied 17.38/17.79 # Search class: HGHSM-FSLM31-MSFFFFBN 17.38/17.79 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.38/17.79 # Starting new_ho_10 with 17s (1) cores 17.38/17.79 # new_ho_10 with pid 4545 completed with status 7 17.38/17.79 # Starting sh7 with 4s (1) cores 17.38/17.79 # sh7 with pid 4546 completed with status 0 17.38/17.79 # Result found by sh7 17.38/17.79 # Preprocessing class: HSLSSMSMSSLNSFA. 17.38/17.79 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.38/17.79 # Starting sh7 with 30s (1) cores 17.38/17.79 # No SInE strategy applied 17.38/17.79 # Search class: HGHSM-FSLM31-MSFFFFBN 17.38/17.79 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.38/17.79 # Starting new_ho_10 with 17s (1) cores 17.38/17.79 # new_ho_10 with pid 4545 completed with status 7 17.38/17.79 # Starting sh7 with 4s (1) cores 17.38/17.79 # Preprocessing time : 0.005 s 17.38/17.79 # Presaturation interreduction done 17.38/17.79 17.38/17.79 # Proof found! 17.38/17.79 # SZS status Theorem 17.38/17.79 # SZS output start CNFRefutation 17.38/17.79 thf(decl_22, type, finite_finite_int: set_int > $o). 17.38/17.79 thf(decl_23, type, finite_finite_nat: set_nat > $o). 17.38/17.79 thf(decl_24, type, finite1810960971y_real: set_poly_real > $o). 17.38/17.79 thf(decl_25, type, finite_finite_real: set_real > $o). 17.38/17.79 thf(decl_26, type, one_one_int: int). 17.38/17.79 thf(decl_27, type, one_one_nat: nat). 17.38/17.79 thf(decl_28, type, one_one_poly_int: poly_int). 17.38/17.79 thf(decl_29, type, one_one_poly_nat: poly_nat). 17.38/17.79 thf(decl_30, type, one_on501200385y_real: poly_poly_real). 17.38/17.79 thf(decl_31, type, one_one_poly_real: poly_real). 17.38/17.79 thf(decl_32, type, one_one_real: real). 17.38/17.79 thf(decl_33, type, plus_plus_int: int > int > int). 17.38/17.79 thf(decl_34, type, times_times_int: int > int > int). 17.38/17.79 thf(decl_35, type, times_times_nat: nat > nat > nat). 17.38/17.79 thf(decl_36, type, times_times_poly_int: poly_int > poly_int > poly_int). 17.38/17.79 thf(decl_37, type, times_times_poly_nat: poly_nat > poly_nat > poly_nat). 17.38/17.79 thf(decl_38, type, times_614468161y_real: poly_poly_real > poly_poly_real > poly_poly_real). 17.38/17.79 thf(decl_39, type, times_775122617y_real: poly_real > poly_real > poly_real). 17.38/17.79 thf(decl_40, type, times_times_real: real > real > real). 17.38/17.79 thf(decl_41, type, zero_zero_int: int). 17.38/17.79 thf(decl_42, type, zero_zero_nat: nat). 17.38/17.79 thf(decl_43, type, zero_zero_poly_int: poly_int). 17.38/17.79 thf(decl_44, type, zero_zero_poly_nat: poly_nat). 17.38/17.79 thf(decl_45, type, zero_z1423781445y_real: poly_poly_real). 17.38/17.79 thf(decl_46, type, zero_zero_poly_real: poly_real). 17.38/17.79 thf(decl_47, type, zero_zero_real: real). 17.38/17.79 thf(decl_48, type, groups2051521940al_int: (real > int) > set_real > int). 17.38/17.79 thf(decl_49, type, lattic1769806461ax_int: set_int > int). 17.38/17.79 thf(decl_50, type, lattic1132532769ax_nat: set_nat > nat). 17.38/17.79 thf(decl_51, type, lattic843767421x_real: set_real > real). 17.38/17.79 thf(decl_52, type, bot_bot_set_int: set_int). 17.38/17.79 thf(decl_53, type, bot_bot_set_nat: set_nat). 17.38/17.79 thf(decl_54, type, bot_bot_set_real: set_real). 17.38/17.79 thf(decl_55, type, ord_less_int: int > int > $o). 17.38/17.79 thf(decl_56, type, ord_less_nat: nat > nat > $o). 17.38/17.79 thf(decl_57, type, ord_less_poly_real: poly_real > poly_real > $o). 17.38/17.79 thf(decl_58, type, ord_less_real: real > real > $o). 17.38/17.79 thf(decl_59, type, degree_real: poly_real > nat). 17.38/17.79 thf(decl_60, type, is_zero_real: poly_real > $o). 17.38/17.79 thf(decl_61, type, poly_int2: poly_int > int > int). 17.38/17.79 thf(decl_62, type, poly_nat2: poly_nat > nat > nat). 17.38/17.79 thf(decl_63, type, poly_poly_real2: poly_poly_real > poly_real > poly_real). 17.38/17.79 thf(decl_64, type, poly_real2: poly_real > real > real). 17.38/17.79 thf(decl_65, type, poly_cutoff_real: nat > poly_real > poly_real). 17.38/17.79 thf(decl_66, type, collect_int: (int > $o) > set_int). 17.38/17.79 thf(decl_67, type, collect_nat: (nat > $o) > set_nat). 17.38/17.79 thf(decl_68, type, collect_poly_real: (poly_real > $o) > set_poly_real). 17.38/17.79 thf(decl_69, type, collect_real: (real > $o) > set_real). 17.38/17.79 thf(decl_70, type, sturm_308542325x_poly: real > real > poly_real > poly_real > int). 17.38/17.79 thf(decl_71, type, sturm_1953858694_cross: poly_real > real > real > int). 17.38/17.79 thf(decl_72, type, sturm_276991412p_poly: poly_real > poly_real > real > int). 17.38/17.79 thf(decl_73, type, sturm_1279781401iation: real > real > int). 17.38/17.79 thf(decl_74, type, member_int: int > set_int > $o). 17.38/17.79 thf(decl_75, type, member_nat: nat > set_nat > $o). 17.38/17.79 thf(decl_76, type, member_real: real > set_real > $o). 17.38/17.79 thf(decl_77, type, a: real). 17.38/17.79 thf(decl_78, type, b: real). 17.38/17.79 thf(decl_79, type, max_r: real). 17.38/17.79 thf(decl_80, type, max_r_sign: int). 17.38/17.79 thf(decl_81, type, max_rp: poly_real). 17.38/17.79 thf(decl_82, type, p: poly_real). 17.38/17.79 thf(decl_83, type, p2: poly_real). 17.38/17.79 thf(decl_84, type, pa: poly_real). 17.38/17.79 thf(decl_85, type, roots: set_real). 17.38/17.79 thf(decl_86, type, roots2: set_real). 17.38/17.79 thf(decl_87, type, esk1_3: real > real > poly_real > real). 17.38/17.79 thf(decl_88, type, esk2_3: real > real > poly_real > real). 17.38/17.79 thf(decl_89, type, esk3_3: real > real > poly_real > real). 17.38/17.79 thf(decl_90, type, esk4_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_91, type, esk5_2: (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_92, type, esk6_2: (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_93, type, esk7_1: poly_real > real). 17.38/17.79 thf(decl_94, type, esk8_1: poly_poly_real > poly_real). 17.38/17.79 thf(decl_95, type, esk9_1: poly_int > int). 17.38/17.79 thf(decl_96, type, esk10_3: real > real > poly_real > real). 17.38/17.79 thf(decl_97, type, esk11_2: real > real > real). 17.38/17.79 thf(decl_98, type, esk12_2: set_nat > nat > nat). 17.38/17.79 thf(decl_99, type, esk13_2: set_int > int > int). 17.38/17.79 thf(decl_100, type, esk14_2: set_real > real > real). 17.38/17.79 thf(decl_101, type, esk15_2: set_nat > nat > nat). 17.38/17.79 thf(decl_102, type, esk16_2: set_int > int > int). 17.38/17.79 thf(decl_103, type, esk17_2: set_real > real > real). 17.38/17.79 thf(decl_104, type, esk18_1: (nat > $o) > nat). 17.38/17.79 thf(decl_105, type, esk19_1: (nat > $o) > nat). 17.38/17.79 thf(decl_106, type, esk20_1: (nat > $o) > nat). 17.38/17.79 thf(decl_107, type, esk21_1: set_nat > nat). 17.38/17.79 thf(decl_108, type, esk22_2: set_nat > nat > nat). 17.38/17.79 thf(decl_109, type, esk23_2: set_nat > nat > nat). 17.38/17.79 thf(decl_110, type, epred1_1: set_real > real > $o). 17.38/17.79 thf(decl_111, type, epred2_1: set_nat > nat > $o). 17.38/17.79 thf(decl_112, type, epred3_1: set_int > int > $o). 17.38/17.79 thf(decl_113, type, epred4_0: real > $o). 17.38/17.79 thf(decl_114, type, epred5_0: real > $o). 17.38/17.79 thf(decl_115, type, epred6_1: poly_real > real > $o). 17.38/17.79 thf(decl_116, type, epred7_1: poly_poly_real > poly_real > $o). 17.38/17.79 thf(decl_117, type, epred8_1: poly_int > int > $o). 17.38/17.79 thf(decl_118, type, epred9_1: poly_real > real > $o). 17.38/17.79 thf(decl_119, type, epred10_2: (real > $o) > (real > $o) > real > $o). 17.38/17.79 thf(decl_120, type, epred11_2: (nat > $o) > (nat > $o) > nat > $o). 17.38/17.79 thf(decl_121, type, epred12_2: (int > $o) > (int > $o) > int > $o). 17.38/17.79 thf(decl_122, type, epred13_2: (real > $o) > (real > $o) > real > $o). 17.38/17.79 thf(decl_123, type, epred14_2: (nat > $o) > (nat > $o) > nat > $o). 17.38/17.79 thf(decl_124, type, epred15_2: (int > $o) > (int > $o) > int > $o). 17.38/17.79 thf(decl_125, type, epred16_3: (real > int) > (real > int) > set_real > real > $o). 17.38/17.79 thf(decl_126, type, epred17_2: (real > int) > set_real > real > $o). 17.38/17.79 thf(decl_127, type, epred18_3: (nat > int) > (nat > int) > set_nat > nat > $o). 17.38/17.79 thf(decl_128, type, epred19_2: (nat > int) > set_nat > nat > $o). 17.38/17.79 thf(decl_129, type, epred20_3: (int > int) > (int > int) > set_int > int > $o). 17.38/17.79 thf(decl_130, type, epred21_2: (int > int) > set_int > int > $o). 17.38/17.79 thf(decl_131, type, epred22_1: nat > nat > $o). 17.38/17.79 thf(decl_132, type, epred23_2: nat > (nat > $o) > nat > $o). 17.38/17.79 thf(decl_133, type, epred24_3: real > poly_real > real > real > $o). 17.38/17.79 thf(decl_134, type, epred25_2: int > int > int > $o). 17.38/17.79 thf(decl_135, type, esk24_2: poly_real > poly_real > real). 17.38/17.79 thf(decl_136, type, esk25_0: real). 17.38/17.79 thf(decl_137, type, esk26_1: set_real > real). 17.38/17.79 thf(decl_138, type, esk27_1: set_real > real). 17.38/17.79 thf(decl_139, type, esk28_2: set_nat > nat > nat). 17.38/17.79 thf(decl_140, type, esk29_3: set_nat > (nat > $o) > nat > nat). 17.38/17.79 thf(decl_141, type, esk30_3: set_int > int > int > int). 17.38/17.79 thf(decl_142, type, esk31_1: poly_real > real). 17.38/17.79 thf(decl_143, type, esk32_2: set_real > poly_real > real). 17.38/17.79 thf(decl_144, type, esk33_2: set_int > poly_int > int). 17.38/17.79 thf(decl_145, type, esk34_4: int > int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_146, type, esk35_3: poly_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_147, type, esk36_3: set_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_148, type, esk37_4: int > int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_149, type, esk38_3: poly_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_150, type, esk39_3: set_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_151, type, esk40_3: nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_152, type, esk41_4: nat > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_153, type, esk42_3: set_nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_154, type, esk43_3: nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_155, type, esk44_4: nat > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_156, type, esk45_3: set_nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_157, type, esk46_3: poly_real > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_158, type, esk47_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_159, type, esk48_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_160, type, esk49_3: set_real > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_161, type, esk50_3: poly_real > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_162, type, esk51_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_163, type, esk52_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_164, type, esk53_3: set_real > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_165, type, esk54_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_166, type, esk55_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_167, type, esk56_3: set_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_168, type, esk57_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_169, type, esk58_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_170, type, esk59_3: set_int > (int > $o) > (int > $o) > int). 17.38/17.79 thf(decl_171, type, esk60_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_172, type, esk61_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_173, type, esk62_3: set_nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_174, type, esk63_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_175, type, esk64_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_176, type, esk65_3: set_nat > (nat > $o) > (nat > $o) > nat). 17.38/17.79 thf(decl_177, type, esk66_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_178, type, esk67_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_179, type, esk68_2: (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_180, type, esk69_3: set_real > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_181, type, esk70_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real). 17.38/17.79 thf(decl_182, type, esk71_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real). 17.38/17.79 thf(fact_1_variation__mult__pos_I1_J, axiom, ![X1:real, X2:real, X3:real]:(((ord_less_real @ zero_zero_real @ X1)=>((sturm_1279781401iation @ (times_times_real @ X1 @ X2) @ X3)=(sturm_1279781401iation @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_variation__mult__pos_I1_J)). 17.38/17.79 thf(fact_9__092_060open_0620_A_060_Apoly_Amax__rp_Aa_092_060close_062, axiom, (ord_less_real @ zero_zero_real @ (poly_real2 @ max_rp @ a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_9__092_060open_0620_A_060_Apoly_Amax__rp_Aa_092_060close_062)). 17.38/17.79 thf(fact_17_poly__mult, axiom, ![X13:poly_real, X14:poly_real, X2:real]:(((poly_real2 @ (times_775122617y_real @ X13 @ X14) @ X2)=(times_times_real @ (poly_real2 @ X13 @ X2) @ (poly_real2 @ X14 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_17_poly__mult)). 17.38/17.79 thf(fact_65_mult_Ocommute, axiom, ((times_775122617y_real)=(^[X74:poly_real, X75:poly_real]:(times_775122617y_real @ X75 @ X74))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_65_mult_Ocommute)). 17.38/17.79 thf(fact_0_variation__mult__pos_I2_J, axiom, ![X1:real, X2:real, X3:real]:(((ord_less_real @ zero_zero_real @ X1)=>((sturm_1279781401iation @ X2 @ (times_times_real @ X1 @ X3))=(sturm_1279781401iation @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_variation__mult__pos_I2_J)). 17.38/17.79 thf(fact_10__092_060open_0620_A_060_Apoly_Amax__rp_Ab_092_060close_062, axiom, (ord_less_real @ zero_zero_real @ (poly_real2 @ max_rp @ b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_10__092_060open_0620_A_060_Apoly_Amax__rp_Ab_092_060close_062)). 17.38/17.79 thf(fact_194_cross__def, axiom, ((sturm_1953858694_cross)=(^[X291:poly_real, X292:real, X293:real]:(sturm_1279781401iation @ (poly_real2 @ X291 @ X292) @ (poly_real2 @ X291 @ X293)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_194_cross__def)). 17.38/17.79 thf(fact_13_p_H, axiom, ((pa)=(times_775122617y_real @ p2 @ max_rp)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_13_p_H)). 17.38/17.79 thf(conj_3, conjecture, ((sturm_1279781401iation @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ a) @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ b))=(sturm_1279781401iation @ (poly_real2 @ p2 @ a) @ (poly_real2 @ p2 @ b))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)). 17.38/17.79 thf(c_0_9, plain, ![X1061:real, X1062:real, X1063:real]:((~(ord_less_real @ zero_zero_real @ X1061)|((sturm_1279781401iation @ (times_times_real @ X1061 @ X1062) @ X1063)=(sturm_1279781401iation @ X1062 @ X1063)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_variation__mult__pos_I1_J])])). 17.38/17.79 thf(c_0_10, plain, ![X3:real, X2:real, X1:real]:((((sturm_1279781401iation @ (times_times_real @ X1 @ X2) @ X3)=(sturm_1279781401iation @ X2 @ X3))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])). 17.38/17.79 thf(c_0_11, plain, ![X2:real, X1:real]:((((sturm_1279781401iation @ (times_times_real @ X1 @ X2))=(sturm_1279781401iation @ X2))|~((ord_less_real @ zero_zero_real @ X1)))), inference(pos_ext,[status(thm)],[c_0_10])). 17.38/17.79 thf(c_0_12, plain, (ord_less_real @ zero_zero_real @ (poly_real2 @ max_rp @ a)), inference(split_conjunct,[status(thm)],[fact_9__092_060open_0620_A_060_Apoly_Amax__rp_Aa_092_060close_062])). 17.38/17.79 thf(c_0_13, plain, ![X1073:poly_real, X1074:poly_real, X1075:real]:(((poly_real2 @ (times_775122617y_real @ X1073 @ X1074) @ X1075)=(times_times_real @ (poly_real2 @ X1073 @ X1075) @ (poly_real2 @ X1074 @ X1075)))), inference(variable_rename,[status(thm)],[fact_17_poly__mult])). 17.38/17.79 thf(c_0_14, plain, ![X1033:poly_real, X1034:poly_real]:(((times_775122617y_real @ X1033 @ X1034)=(times_775122617y_real @ X1034 @ X1033))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_65_mult_Ocommute])])). 17.38/17.79 thf(c_0_15, plain, ![X1:real]:(((sturm_1279781401iation @ (times_times_real @ (poly_real2 @ max_rp @ a) @ X1))=(sturm_1279781401iation @ X1))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 17.38/17.79 thf(c_0_16, plain, ![X13:poly_real, X6:poly_real, X1:real]:(((poly_real2 @ (times_775122617y_real @ X6 @ X13) @ X1)=(times_times_real @ (poly_real2 @ X6 @ X1) @ (poly_real2 @ X13 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 17.38/17.79 thf(c_0_17, plain, ![X1153:poly_real, X1154:poly_real]:(((times_775122617y_real @ X1153 @ X1154)=(times_775122617y_real @ X1154 @ X1153))), inference(variable_rename,[status(thm)],[c_0_14])). 17.38/17.79 thf(c_0_18, plain, ![X1058:real, X1059:real, X1060:real]:((~(ord_less_real @ zero_zero_real @ X1058)|((sturm_1279781401iation @ X1059 @ (times_times_real @ X1058 @ X1060))=(sturm_1279781401iation @ X1059 @ X1060)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_variation__mult__pos_I2_J])])). 17.38/17.79 thf(c_0_19, plain, ![X6:poly_real]:(((sturm_1279781401iation @ (poly_real2 @ (times_775122617y_real @ max_rp @ X6) @ a))=(sturm_1279781401iation @ (poly_real2 @ X6 @ a)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 17.38/17.79 thf(c_0_20, plain, ![X13:poly_real, X6:poly_real]:(((times_775122617y_real @ X6 @ X13)=(times_775122617y_real @ X13 @ X6))), inference(split_conjunct,[status(thm)],[c_0_17])). 17.38/17.79 thf(c_0_21, plain, ![X3:real, X2:real, X1:real]:((((sturm_1279781401iation @ X2 @ (times_times_real @ X1 @ X3))=(sturm_1279781401iation @ X2 @ X3))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_18])). 17.38/17.79 thf(c_0_22, plain, (ord_less_real @ zero_zero_real @ (poly_real2 @ max_rp @ b)), inference(split_conjunct,[status(thm)],[fact_10__092_060open_0620_A_060_Apoly_Amax__rp_Ab_092_060close_062])). 17.38/17.79 thf(c_0_23, plain, ![X1041:poly_real, X1042:real, X1043:real]:(((sturm_1953858694_cross @ X1041 @ X1042 @ X1043)=(sturm_1279781401iation @ (poly_real2 @ X1041 @ X1042) @ (poly_real2 @ X1041 @ X1043)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_194_cross__def])])). 17.38/17.79 thf(c_0_24, plain, ![X6:poly_real]:(((sturm_1279781401iation @ (poly_real2 @ (times_775122617y_real @ X6 @ max_rp) @ a))=(sturm_1279781401iation @ (poly_real2 @ X6 @ a)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 17.38/17.79 thf(c_0_25, plain, ((pa)=(times_775122617y_real @ p2 @ max_rp)), inference(split_conjunct,[status(thm)],[fact_13_p_H])). 17.38/17.79 thf(c_0_26, plain, ![X1:real, X2:real]:(((sturm_1279781401iation @ X1 @ (times_times_real @ (poly_real2 @ max_rp @ b) @ X2))=(sturm_1279781401iation @ X1 @ X2))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 17.38/17.79 thf(c_0_27, plain, ![X1454:poly_real, X1455:real, X1456:real]:(((sturm_1953858694_cross @ X1454 @ X1455 @ X1456)=(sturm_1279781401iation @ (poly_real2 @ X1454 @ X1455) @ (poly_real2 @ X1454 @ X1456)))), inference(variable_rename,[status(thm)],[c_0_23])). 17.38/17.79 thf(c_0_28, plain, ((sturm_1279781401iation @ (poly_real2 @ p2 @ a))=(sturm_1279781401iation @ (poly_real2 @ pa @ a))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 17.38/17.79 thf(c_0_29, plain, ![X1:real, X6:poly_real]:(((sturm_1279781401iation @ X1 @ (poly_real2 @ (times_775122617y_real @ max_rp @ X6) @ b))=(sturm_1279781401iation @ X1 @ (poly_real2 @ X6 @ b)))), inference(spm,[status(thm)],[c_0_26, c_0_16])). 17.38/17.79 thf(c_0_30, negated_conjecture, ((sturm_1279781401iation @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ a) @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ b))!=(sturm_1279781401iation @ (poly_real2 @ p2 @ a) @ (poly_real2 @ p2 @ b))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_3])])). 17.38/17.79 thf(c_0_31, plain, ![X1:real, X6:poly_real, X2:real]:(((sturm_1953858694_cross @ X6 @ X1 @ X2)=(sturm_1279781401iation @ (poly_real2 @ X6 @ X1) @ (poly_real2 @ X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_27])). 17.38/17.79 thf(c_0_32, plain, ![X1:real]:(((sturm_1279781401iation @ (poly_real2 @ p2 @ a) @ X1)=(sturm_1279781401iation @ (poly_real2 @ pa @ a) @ X1))), inference(arg_cong,[status(thm)],[c_0_28])). 17.38/17.79 thf(c_0_33, plain, ![X1:real, X6:poly_real]:(((sturm_1279781401iation @ X1 @ (poly_real2 @ (times_775122617y_real @ X6 @ max_rp) @ b))=(sturm_1279781401iation @ X1 @ (poly_real2 @ X6 @ b)))), inference(spm,[status(thm)],[c_0_29, c_0_20])). 17.38/17.79 thf(c_0_34, negated_conjecture, ((sturm_1279781401iation @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ a) @ (poly_real2 @ (times_775122617y_real @ max_rp @ p2) @ b))!=(sturm_1279781401iation @ (poly_real2 @ p2 @ a) @ (poly_real2 @ p2 @ b))), inference(split_conjunct,[status(thm)],[c_0_30])). 17.38/17.79 thf(c_0_35, plain, ![X1:real]:(((sturm_1279781401iation @ (poly_real2 @ pa @ a) @ (poly_real2 @ p2 @ X1))=(sturm_1953858694_cross @ p2 @ a @ X1))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 17.38/17.79 thf(c_0_36, plain, ![X1:real]:(((sturm_1279781401iation @ X1 @ (poly_real2 @ p2 @ b))=(sturm_1279781401iation @ X1 @ (poly_real2 @ pa @ b)))), inference(spm,[status(thm)],[c_0_33, c_0_25])). 17.38/17.79 thf(c_0_37, negated_conjecture, ((sturm_1953858694_cross @ p2 @ a @ b)!=(sturm_1953858694_cross @ pa @ a @ b)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_31]), c_0_20]), c_0_25]), c_0_31])). 17.38/17.79 thf(c_0_38, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_31]), c_0_37]), ['proof']). 17.38/17.79 # SZS output end CNFRefutation 17.38/17.79 # Parsed axioms : 427 17.38/17.79 # Removed by relevancy pruning/SinE : 0 17.38/17.79 # Initial clauses : 722 17.38/17.79 # Removed in clause preprocessing : 116 17.38/17.79 # Initial clauses in saturation : 606 17.38/17.79 # Processed clauses : 5768 17.38/17.79 # ...of these trivial : 105 17.38/17.79 # ...subsumed : 3893 17.38/17.79 # ...remaining for further processing : 1770 17.38/17.79 # Other redundant clauses eliminated : 146 17.38/17.79 # Clauses deleted for lack of memory : 0 17.38/17.79 # Backward-subsumed : 6 17.38/17.79 # Backward-rewritten : 33 17.38/17.79 # Generated clauses : 15136 17.38/17.79 # ...of the previous two non-redundant : 13599 17.38/17.79 # ...aggressively subsumed : 0 17.38/17.79 # Contextual simplify-reflections : 0 17.38/17.79 # Paramodulations : 14709 17.38/17.79 # Factorizations : 12 17.38/17.79 # NegExts : 48 17.38/17.79 # Equation resolutions : 187 17.38/17.79 # Propositional unsat checks : 0 17.38/17.79 # Propositional check models : 0 17.38/17.79 # Propositional check unsatisfiable : 0 17.38/17.79 # Propositional clauses : 0 17.38/17.79 # Propositional clauses after purity: 0 17.38/17.79 # Propositional unsat core size : 0 17.38/17.79 # Propositional preprocessing time : 0.000 17.38/17.79 # Propositional encoding time : 0.000 17.38/17.79 # Propositional solver time : 0.000 17.38/17.79 # Success case prop preproc time : 0.000 17.38/17.79 # Success case prop encoding time : 0.000 17.38/17.79 # Success case prop solver time : 0.000 17.38/17.79 # Current number of processed clauses : 1246 17.38/17.79 # Positive orientable unit clauses : 300 17.38/17.79 # Positive unorientable unit clauses: 16 17.38/17.79 # Negative unit clauses : 97 17.38/17.79 # Non-unit-clauses : 833 17.38/17.79 # Current number of unprocessed clauses: 8778 17.38/17.79 # ...number of literals in the above : 20732 17.38/17.79 # Current number of archived formulas : 0 17.38/17.79 # Current number of archived clauses : 447 17.38/17.79 # Clause-clause subsumption calls (NU) : 159454 17.38/17.79 # Rec. Clause-clause subsumption calls : 130464 17.38/17.79 # Non-unit clause-clause subsumptions : 2177 17.38/17.79 # Unit Clause-clause subsumption calls : 19583 17.38/17.79 # Rewrite failures with RHS unbound : 0 17.38/17.79 # BW rewrite match attempts : 359 17.38/17.79 # BW rewrite match successes : 205 17.38/17.79 # Condensation attempts : 0 17.38/17.79 # Condensation successes : 0 17.38/17.79 # Termbank termtop insertions : 210774 17.38/17.79 17.38/17.79 # ------------------------------------------------- 17.38/17.79 # User time : 16.750 s 17.38/17.79 # System time : 0.563 s 17.38/17.79 # Total time : 17.313 s 17.38/17.79 # Maximum resident set size: 4736 pages 17.38/17.79 17.38/17.79 # ------------------------------------------------- 17.38/17.79 # User time : 16.762 s 17.38/17.79 # System time : 0.566 s 17.38/17.79 # Total time : 17.328 s 17.38/17.79 # Maximum resident set size: 2296 pages 17.38/17.79 EOF