0.13/0.28 % Problem : SLH0213^1 : TPTP v8.2.0. Released v8.2.0. 0.13/0.29 % Command : run_E %s %d THM 0.29/0.49 % Computer : n027.cluster.edu 0.29/0.49 % Model : x86_64 x86_64 0.29/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.29/0.49 % Memory : 8042.1875MB 0.29/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.29/0.50 % CPULimit : 30 0.29/0.50 % WCLimit : 30 0.29/0.50 % DateTime : Mon Jul 3 09:45:47 EDT 2023 0.29/0.50 % CPUTime : 0.38/0.62 The problem SPC is TH0_THM_EQU_NAR 0.38/0.62 Running higher-order on 1 cores theorem proving 0.38/0.62 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/tmp/tmp.zB7LtG0tc5/Vampire---4.8_24812 0.38/0.62 # Version: 3.0pre003-ho 0.47/0.94 # partial match(1): HSLSSMSMSSMNHFA 0.47/0.94 # Preprocessing class: HMLSSMSMSSMNHFA. 0.47/0.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.94 # Starting new_ho_3 with 30s (1) cores 0.47/0.94 # new_ho_3 with pid 25118 completed with status 0 0.47/0.94 # Result found by new_ho_3 0.47/0.94 # partial match(1): HSLSSMSMSSMNHFA 0.47/0.94 # Preprocessing class: HMLSSMSMSSMNHFA. 0.47/0.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.94 # Starting new_ho_3 with 30s (1) cores 0.47/0.94 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.47/0.94 # ...ProofStateSinE()=1214/1373 0.47/0.94 # Search class: HGHSM-SMLM32-MHFFFSBN 0.47/0.94 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.47/0.94 # Starting post_as_ho6 with 17s (1) cores 0.47/0.94 # post_as_ho6 with pid 25183 completed with status 0 0.47/0.94 # Result found by post_as_ho6 0.47/0.94 # partial match(1): HSLSSMSMSSMNHFA 0.47/0.94 # Preprocessing class: HMLSSMSMSSMNHFA. 0.47/0.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.94 # Starting new_ho_3 with 30s (1) cores 0.47/0.94 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.47/0.94 # ...ProofStateSinE()=1214/1373 0.47/0.94 # Search class: HGHSM-SMLM32-MHFFFSBN 0.47/0.94 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.47/0.94 # Starting post_as_ho6 with 17s (1) cores 0.47/0.94 # Preprocessing time : 0.057 s 0.47/0.94 # Presaturation interreduction done 0.47/0.94 0.47/0.94 # Proof found! 0.47/0.94 # SZS status Theorem 0.47/0.94 # SZS output start CNFRefutation 0.47/0.94 thf(decl_22, type, a_l_coset_a_b: partia2175431115845679010xt_a_b > a > set_a > set_a). 0.47/0.94 thf(decl_23, type, partia6735698275553448452t_unit: partia8223610829204095565t_unit > set_a). 0.47/0.94 thf(decl_24, type, partia707051561876973205xt_a_b: partia2175431115845679010xt_a_b > set_a). 0.47/0.94 thf(decl_25, type, order_a_Product_unit: partia8223610829204095565t_unit > nat). 0.47/0.94 thf(decl_26, type, order_a_ring_ext_a_b: partia2175431115845679010xt_a_b > nat). 0.47/0.94 thf(decl_27, type, set_mu8047982887099575916xt_a_b: partia2175431115845679010xt_a_b > set_a > set_a > set_a). 0.47/0.94 thf(decl_28, type, irredu4023057619401689684t_unit: partia8223610829204095565t_unit > a > $o). 0.47/0.94 thf(decl_29, type, irredu6211895646901577903xt_a_b: partia2175431115845679010xt_a_b > a > $o). 0.47/0.94 thf(decl_30, type, monoid1999574367301118026t_unit: partia8223610829204095565t_unit > $o). 0.47/0.94 thf(decl_31, type, monoid5798828371819920185xt_a_b: partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_32, type, prime_a_Product_unit: partia8223610829204095565t_unit > a > $o). 0.47/0.94 thf(decl_33, type, prime_a_ring_ext_a_b: partia2175431115845679010xt_a_b > a > $o). 0.47/0.94 thf(decl_34, type, embedd8708762675212832759on_a_b: partia2175431115845679010xt_a_b > set_a > set_a > $o). 0.47/0.94 thf(decl_35, type, embedd971793762689825387on_a_b: partia2175431115845679010xt_a_b > set_a > a > set_a > set_a). 0.47/0.94 thf(decl_36, type, embedd9027525575939734154ra_a_b: set_a > set_a > partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_37, type, finite_finite_nat_a: set_nat_a > $o). 0.47/0.94 thf(decl_38, type, finite_finite_a: set_a > $o). 0.47/0.94 thf(decl_39, type, units_a_Product_unit: partia8223610829204095565t_unit > set_a). 0.47/0.94 thf(decl_40, type, units_a_ring_ext_a_b: partia2175431115845679010xt_a_b > set_a). 0.47/0.94 thf(decl_41, type, mult_a_Product_unit: partia8223610829204095565t_unit > a > a > a). 0.47/0.94 thf(decl_42, type, mult_a_ring_ext_a_b: partia2175431115845679010xt_a_b > a > a > a). 0.47/0.94 thf(decl_43, type, one_a_Product_unit: partia8223610829204095565t_unit > a). 0.47/0.94 thf(decl_44, type, one_a_ring_ext_a_b: partia2175431115845679010xt_a_b > a). 0.47/0.94 thf(decl_45, type, pow_a_1875594501834816709it_nat: partia8223610829204095565t_unit > a > nat > a). 0.47/0.94 thf(decl_46, type, pow_a_1026414303147256608_b_nat: partia2175431115845679010xt_a_b > a > nat > a). 0.47/0.94 thf(decl_47, type, units_7501539392726747778t_unit: partia8223610829204095565t_unit > partia8223610829204095565t_unit). 0.47/0.94 thf(decl_48, type, units_8174867845824275201xt_a_b: partia2175431115845679010xt_a_b > partia8223610829204095565t_unit). 0.47/0.94 thf(decl_49, type, minus_minus_int: int > int > int). 0.47/0.94 thf(decl_50, type, minus_minus_nat: nat > nat > nat). 0.47/0.94 thf(decl_51, type, minus_490503922182417452_nat_a: set_nat_a > set_nat_a > set_nat_a). 0.47/0.94 thf(decl_52, type, minus_minus_set_a: set_a > set_a > set_a). 0.47/0.94 thf(decl_53, type, one_one_int: int). 0.47/0.94 thf(decl_54, type, one_one_nat: nat). 0.47/0.94 thf(decl_55, type, plus_plus_int: int > int > int). 0.47/0.94 thf(decl_56, type, plus_plus_nat: nat > nat > nat). 0.47/0.94 thf(decl_57, type, times_times_int: int > int > int). 0.47/0.94 thf(decl_58, type, times_times_nat: nat > nat > nat). 0.47/0.94 thf(decl_59, type, zero_zero_int: int). 0.47/0.94 thf(decl_60, type, zero_zero_nat: nat). 0.47/0.94 thf(decl_61, type, cgenid547466209912283029xt_a_b: partia2175431115845679010xt_a_b > a > set_a). 0.47/0.94 thf(decl_62, type, genideal_a_b: partia2175431115845679010xt_a_b > set_a > set_a). 0.47/0.94 thf(decl_63, type, maximalideal_a_b: set_a > partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_64, type, primeideal_a_b: set_a > partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_65, type, principalideal_a_b: set_a > partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_66, type, if_int: $o > int > int > int). 0.47/0.94 thf(decl_67, type, if_nat: $o > nat > nat > nat). 0.47/0.94 thf(decl_68, type, suc: nat > nat). 0.47/0.94 thf(decl_69, type, bot_bot_set_nat_a: set_nat_a). 0.47/0.94 thf(decl_70, type, bot_bot_set_a: set_a). 0.47/0.94 thf(decl_71, type, ord_less_int: int > int > $o). 0.47/0.94 thf(decl_72, type, ord_less_nat: nat > nat > $o). 0.47/0.94 thf(decl_73, type, ord_less_set_nat_a: set_nat_a > set_nat_a > $o). 0.47/0.94 thf(decl_74, type, ord_less_set_a: set_a > set_a > $o). 0.47/0.94 thf(decl_75, type, ord_less_eq_int: int > int > $o). 0.47/0.94 thf(decl_76, type, ord_less_eq_nat: nat > nat > $o). 0.47/0.94 thf(decl_77, type, ord_le871467723717165285_nat_a: set_nat_a > set_nat_a > $o). 0.47/0.94 thf(decl_78, type, ord_less_eq_set_a: set_a > set_a > $o). 0.47/0.94 thf(decl_79, type, power_power_int: int > nat > int). 0.47/0.94 thf(decl_80, type, power_power_nat: nat > nat > nat). 0.47/0.94 thf(decl_81, type, ring_iso_a_b_a_b: partia2175431115845679010xt_a_b > partia2175431115845679010xt_a_b > set_a_a). 0.47/0.94 thf(decl_82, type, a_inv_a_b: partia2175431115845679010xt_a_b > a > a). 0.47/0.94 thf(decl_83, type, a_minus_a_b: partia2175431115845679010xt_a_b > a > a > a). 0.47/0.94 thf(decl_84, type, add_pow_a_b_int: partia2175431115845679010xt_a_b > int > a > a). 0.47/0.94 thf(decl_85, type, add_pow_a_b_nat: partia2175431115845679010xt_a_b > nat > a > a). 0.47/0.94 thf(decl_86, type, domain_a_b: partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_87, type, field_a_b: partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_88, type, add_a_b: partia2175431115845679010xt_a_b > a > a > a). 0.47/0.94 thf(decl_89, type, zero_a_b: partia2175431115845679010xt_a_b > a). 0.47/0.94 thf(decl_90, type, ring_char_a_b: partia2175431115845679010xt_a_b > nat). 0.47/0.94 thf(decl_91, type, ring_e8745995371659049232in_a_b: partia2175431115845679010xt_a_b > (a > nat) > $o). 0.47/0.94 thf(decl_92, type, ring_mult_of_a_b: partia2175431115845679010xt_a_b > partia8223610829204095565t_unit). 0.47/0.94 thf(decl_93, type, ring_r999134135267193926le_a_b: partia2175431115845679010xt_a_b > a > $o). 0.47/0.94 thf(decl_94, type, ring_ring_prime_a_b: partia2175431115845679010xt_a_b > a > $o). 0.47/0.94 thf(decl_95, type, collect_nat_a: ((nat > a) > $o) > set_nat_a). 0.47/0.94 thf(decl_96, type, collect_a_a: ((a > a) > $o) > set_a_a). 0.47/0.94 thf(decl_97, type, collect_a: (a > $o) > set_a). 0.47/0.94 thf(decl_98, type, insert_nat_a: (nat > a) > set_nat_a > set_nat_a). 0.47/0.94 thf(decl_99, type, insert_a: a > set_a > set_a). 0.47/0.94 thf(decl_100, type, subfield_a_b: set_a > partia2175431115845679010xt_a_b > $o). 0.47/0.94 thf(decl_101, type, bound_a: a > nat > (nat > a) > $o). 0.47/0.94 thf(decl_102, type, up_a_b: partia2175431115845679010xt_a_b > set_nat_a). 0.47/0.94 thf(decl_103, type, member_nat_a: (nat > a) > set_nat_a > $o). 0.47/0.94 thf(decl_104, type, member_a_a: (a > a) > set_a_a > $o). 0.47/0.94 thf(decl_105, type, member_a: a > set_a > $o). 0.47/0.94 thf(decl_106, type, r: partia2175431115845679010xt_a_b). 0.47/0.94 thf(decl_107, type, m: nat). 0.47/0.94 thf(decl_108, type, ma: nat). 0.47/0.94 thf(decl_109, type, n: nat). 0.47/0.94 thf(decl_110, type, x: a). 0.47/0.94 thf(decl_111, type, y: a). 0.47/0.94 thf(decl_112, type, esk1_1: a > a). 0.47/0.94 thf(decl_113, type, esk2_1: a > a). 0.47/0.94 thf(decl_114, type, esk3_1: a > a). 0.47/0.94 thf(decl_115, type, esk4_1: set_a > a). 0.47/0.94 thf(decl_116, type, esk5_1: set_a > a). 0.47/0.94 thf(decl_117, type, esk6_1: set_a > a). 0.47/0.94 thf(decl_118, type, esk7_2: nat > nat > nat). 0.47/0.94 thf(decl_119, type, esk8_2: nat > nat > nat). 0.47/0.94 thf(decl_120, type, esk9_2: nat > nat > nat). 0.47/0.94 thf(decl_121, type, esk10_2: nat > nat > nat). 0.47/0.94 thf(decl_122, type, esk11_2: nat > nat > nat). 0.47/0.94 thf(decl_123, type, esk12_3: (nat > $o) > nat > nat > nat). 0.47/0.94 thf(decl_124, type, esk13_3: (nat > $o) > nat > nat > nat). 0.47/0.94 thf(decl_125, type, esk14_2: nat > nat > nat). 0.47/0.94 thf(decl_126, type, esk15_2: nat > nat > nat). 0.47/0.94 thf(decl_127, type, esk16_2: nat > nat > nat). 0.47/0.94 thf(decl_128, type, esk17_2: nat > nat > nat). 0.47/0.94 thf(decl_129, type, esk18_1: (nat > nat) > nat). 0.47/0.94 thf(decl_130, type, esk19_1: (nat > nat) > nat). 0.47/0.94 thf(decl_131, type, esk20_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_132, type, esk21_1: a > a). 0.47/0.94 thf(decl_133, type, esk22_1: a > a). 0.47/0.94 thf(decl_134, type, esk23_1: a > a). 0.47/0.94 thf(decl_135, type, esk24_1: a > a). 0.47/0.94 thf(decl_136, type, esk25_1: a > a). 0.47/0.94 thf(decl_137, type, esk26_1: a > a). 0.47/0.94 thf(decl_138, type, esk27_2: partia2175431115845679010xt_a_b > a > a). 0.47/0.94 thf(decl_139, type, esk28_2: partia2175431115845679010xt_a_b > a > a). 0.47/0.94 thf(decl_140, type, esk29_1: nat > nat). 0.47/0.94 thf(decl_141, type, esk30_1: (nat > $o) > nat). 0.47/0.94 thf(decl_142, type, esk31_1: (nat > nat > $o) > nat). 0.47/0.94 thf(decl_143, type, esk32_1: (nat > nat > $o) > nat). 0.47/0.94 thf(decl_144, type, esk33_1: (nat > nat > $o) > nat). 0.47/0.94 thf(decl_145, type, esk34_1: (nat > nat > $o) > nat). 0.47/0.94 thf(decl_146, type, esk35_1: (nat > $o) > nat). 0.47/0.94 thf(decl_147, type, esk36_1: nat > nat). 0.47/0.94 thf(decl_148, type, esk37_2: (nat > $o) > nat > nat). 0.47/0.94 thf(decl_149, type, esk38_1: (nat > nat) > nat). 0.47/0.94 thf(decl_150, type, esk39_1: (nat > int) > nat). 0.47/0.94 thf(decl_151, type, esk40_1: (nat > nat) > nat). 0.47/0.94 thf(decl_152, type, esk41_1: (nat > int) > nat). 0.47/0.94 thf(decl_153, type, esk42_3: nat > nat > (nat > $o) > nat). 0.47/0.94 thf(decl_154, type, esk43_3: nat > nat > (nat > $o) > nat). 0.47/0.94 thf(decl_155, type, esk44_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_156, type, esk45_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_157, type, esk46_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_158, type, esk47_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_159, type, esk48_2: nat > nat > nat). 0.47/0.94 thf(decl_160, type, esk49_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_161, type, esk50_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_162, type, esk51_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_163, type, esk52_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_164, type, esk53_2: nat > nat > nat). 0.47/0.94 thf(decl_165, type, esk54_2: nat > nat > nat). 0.47/0.94 thf(decl_166, type, esk55_2: nat > nat > nat). 0.47/0.94 thf(decl_167, type, esk56_1: nat > nat). 0.47/0.94 thf(decl_168, type, esk57_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_169, type, esk58_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_170, type, esk59_1: nat > nat). 0.47/0.94 thf(decl_171, type, esk60_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_172, type, esk61_2: nat > (nat > $o) > nat). 0.47/0.94 thf(decl_173, type, esk62_1: (nat > set_a) > nat). 0.47/0.94 thf(decl_174, type, esk63_1: (nat > nat) > nat). 0.47/0.94 thf(decl_175, type, esk64_1: (nat > int) > nat). 0.47/0.94 thf(decl_176, type, esk65_1: (nat > set_a) > nat). 0.47/0.94 thf(decl_177, type, esk66_1: (nat > nat) > nat). 0.47/0.94 thf(decl_178, type, esk67_1: (nat > int) > nat). 0.47/0.94 thf(decl_179, type, esk68_2: nat > nat > nat). 0.47/0.94 thf(decl_180, type, esk69_1: (nat > $o) > nat). 0.47/0.94 thf(decl_181, type, esk70_3: nat > nat > (nat > $o) > nat). 0.47/0.94 thf(decl_182, type, esk71_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_183, type, esk72_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_184, type, esk73_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_185, type, esk74_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_186, type, esk75_3: nat > nat > (nat > nat > $o) > nat). 0.47/0.94 thf(decl_187, type, esk76_3: nat > nat > (nat > $o) > nat). 0.47/0.94 thf(decl_188, type, esk77_3: nat > nat > (nat > $o) > nat). 0.47/0.94 thf(decl_189, type, esk78_2: (nat > $o) > nat > nat). 0.47/0.94 thf(decl_190, type, esk79_1: (nat > $o) > nat). 0.47/0.94 thf(decl_191, type, esk80_2: (nat > $o) > nat > nat). 0.47/0.94 thf(decl_192, type, esk81_1: (nat > $o) > nat). 0.47/0.94 thf(decl_193, type, esk82_1: (nat > $o) > nat). 0.47/0.94 thf(decl_194, type, esk83_1: (nat > nat) > nat). 0.47/0.94 thf(decl_195, type, esk84_1: (nat > nat) > nat). 0.47/0.94 thf(decl_196, type, esk85_1: nat > nat). 0.47/0.94 thf(decl_197, type, esk86_1: nat > nat). 0.47/0.94 thf(decl_198, type, esk87_1: nat > nat). 0.47/0.94 thf(decl_199, type, esk88_1: nat > nat). 0.47/0.94 thf(decl_200, type, esk89_3: (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_201, type, esk90_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_202, type, esk91_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.47/0.94 thf(decl_203, type, esk92_3: (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_204, type, esk93_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_205, type, esk94_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.47/0.94 thf(decl_206, type, esk95_1: nat > nat). 0.47/0.94 thf(decl_207, type, esk96_1: nat > nat). 0.47/0.94 thf(decl_208, type, esk97_1: nat > nat). 0.47/0.94 thf(decl_209, type, esk98_1: nat > nat). 0.47/0.94 thf(decl_210, type, esk99_3: (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_211, type, esk100_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_212, type, esk101_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.47/0.94 thf(decl_213, type, esk102_3: (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_214, type, esk103_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.47/0.94 thf(decl_215, type, esk104_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.47/0.94 thf(decl_216, type, esk105_1: nat > nat). 0.47/0.94 thf(decl_217, type, esk106_1: nat > nat). 0.47/0.94 thf(decl_218, type, esk107_1: nat > nat). 0.47/0.94 thf(decl_219, type, esk108_1: nat > nat). 0.47/0.94 thf(decl_220, type, esk109_1: a > a). 0.47/0.94 thf(decl_221, type, esk110_1: a > a). 0.47/0.94 thf(decl_222, type, esk111_0: a). 0.47/0.94 thf(decl_223, type, esk112_0: a). 0.47/0.94 thf(decl_224, type, esk113_2: partia2175431115845679010xt_a_b > a > a). 0.47/0.94 thf(decl_225, type, esk114_2: (nat > $o) > nat > nat). 0.47/0.94 thf(decl_226, type, esk115_1: (nat > $o) > nat). 0.47/0.94 thf(decl_227, type, esk116_2: (set_a > $o) > set_a > set_a). 0.47/0.94 thf(decl_228, type, esk117_2: set_a > (set_a > $o) > a). 0.47/0.94 thf(decl_229, type, esk118_2: set_a > (set_a > $o) > set_a). 0.47/0.94 thf(decl_230, type, esk119_2: set_a > (set_a > $o) > set_a). 0.47/0.94 thf(decl_231, type, esk120_2: (set_a > $o) > set_a > set_a). 0.47/0.94 thf(decl_232, type, esk121_2: set_a > (set_a > $o) > set_a). 0.47/0.94 thf(decl_233, type, esk122_2: set_a > set_a > a). 0.47/0.94 thf(decl_234, type, esk123_2: set_a > set_a > a). 0.47/0.94 thf(decl_235, type, esk124_2: int > (int > $o) > int). 0.47/0.94 thf(decl_236, type, esk125_2: int > (int > $o) > int). 0.47/0.94 thf(decl_237, type, esk126_2: (int > $o) > int > int). 0.47/0.94 thf(decl_238, type, esk127_2: (int > $o) > int > int). 0.47/0.94 thf(decl_239, type, esk128_3: (int > $o) > int > (int > $o) > int). 0.47/0.94 thf(decl_240, type, esk129_3: (int > $o) > int > (int > $o) > int). 0.47/0.94 thf(decl_241, type, esk130_2: (int > $o) > int > int). 0.47/0.94 thf(decl_242, type, esk131_2: (int > $o) > int > int). 0.47/0.94 thf(decl_243, type, esk132_3: (int > $o) > int > (int > $o) > int). 0.47/0.94 thf(decl_244, type, esk133_3: (int > $o) > int > (int > $o) > int). 0.47/0.94 thf(decl_245, type, esk134_2: int > (int > $o) > int). 0.47/0.94 thf(decl_246, type, esk135_2: int > (int > $o) > int). 0.47/0.94 thf(decl_247, type, esk136_4: int > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_248, type, esk137_3: int > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_249, type, esk138_2: int > (int > $o) > int). 0.47/0.94 thf(decl_250, type, esk139_2: int > (int > $o) > int). 0.47/0.94 thf(decl_251, type, esk140_4: int > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_252, type, esk141_3: int > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_253, type, esk142_2: set_a > set_a > a). 0.47/0.94 thf(decl_254, type, esk143_2: set_a > (set_a > $o) > set_a). 0.47/0.94 thf(decl_255, type, esk144_3: int > int > (int > $o) > int). 0.47/0.94 thf(decl_256, type, esk145_3: int > int > (int > $o) > int). 0.47/0.94 thf(decl_257, type, esk146_1: int > int). 0.47/0.94 thf(decl_258, type, esk147_1: int > int). 0.47/0.94 thf(decl_259, type, esk148_1: int > int). 0.47/0.94 thf(decl_260, type, esk149_1: int > int). 0.47/0.94 thf(decl_261, type, esk150_3: (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_262, type, esk151_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_263, type, esk152_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_264, type, esk153_3: (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_265, type, esk154_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_266, type, esk155_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_267, type, esk156_1: int > int). 0.47/0.94 thf(decl_268, type, esk157_1: int > int). 0.47/0.94 thf(decl_269, type, esk158_1: int > int). 0.47/0.94 thf(decl_270, type, esk159_1: int > int). 0.47/0.94 thf(decl_271, type, esk160_3: (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_272, type, esk161_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_273, type, esk162_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_274, type, esk163_3: (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_275, type, esk164_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.47/0.94 thf(decl_276, type, esk165_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.47/0.94 thf(decl_277, type, esk166_1: int > int). 0.47/0.94 thf(decl_278, type, esk167_1: int > int). 0.47/0.94 thf(decl_279, type, esk168_1: int > int). 0.47/0.94 thf(decl_280, type, esk169_1: int > int). 0.47/0.94 thf(decl_281, type, esk170_3: int > int > (int > $o) > int). 0.47/0.94 thf(decl_282, type, esk171_2: (int > $o) > int > int). 0.47/0.94 thf(decl_283, type, esk172_2: (int > $o) > int > int). 0.47/0.94 thf(decl_284, type, esk173_3: int > int > (int > $o) > int). 0.47/0.94 thf(decl_285, type, esk174_2: set_a > partia2175431115845679010xt_a_b > a). 0.47/0.94 thf(decl_286, type, esk175_1: (nat > set_a) > nat). 0.47/0.94 thf(decl_287, type, esk176_1: (nat > set_a) > nat). 0.47/0.94 thf(decl_288, type, esk177_4: a > set_a > a > set_a > a). 0.47/0.94 thf(decl_289, type, esk178_4: a > set_a > a > set_a > a). 0.47/0.94 thf(decl_290, type, esk179_3: (a > a) > partia2175431115845679010xt_a_b > (a > a) > a). 0.47/0.94 thf(decl_291, type, esk180_0: a). 0.47/0.94 thf(decl_292, type, esk181_0: a). 0.47/0.94 thf(decl_293, type, esk182_0: a). 0.47/0.94 thf(decl_294, type, esk183_0: a). 0.47/0.94 thf(decl_295, type, esk184_0: a). 0.47/0.94 thf(decl_296, type, esk185_0: a). 0.47/0.94 thf(decl_297, type, epred1_1: set_a_a > (a > a) > $o). 0.47/0.94 thf(fact_55_mult_Ocommute, axiom, ((times_times_nat)=(^[X42:nat, X43:nat]:(times_times_nat @ X43 @ X42))), file('/export/starexec/sandbox2/tmp/tmp.zB7LtG0tc5/Vampire---4.8_24812', fact_55_mult_Ocommute)). 0.47/0.94 thf(fact_293_Suc__eq__plus1, axiom, ((suc)=(^[X262:nat]:(plus_plus_nat @ X262 @ one_one_nat))), file('/export/starexec/sandbox2/tmp/tmp.zB7LtG0tc5/Vampire---4.8_24812', fact_293_Suc__eq__plus1)). 0.47/0.94 thf(conj_0, conjecture, ((pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (power_power_nat @ (ring_char_a_b @ r) @ (plus_plus_nat @ ma @ one_one_nat)))=(pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (times_times_nat @ (power_power_nat @ (ring_char_a_b @ r) @ ma) @ (ring_char_a_b @ r)))), file('/export/starexec/sandbox2/tmp/tmp.zB7LtG0tc5/Vampire---4.8_24812', conj_0)). 0.47/0.94 thf(fact_289_power__Suc, axiom, ![X3:nat, X2:nat]:(((power_power_nat @ X3 @ (suc @ X2))=(times_times_nat @ X3 @ (power_power_nat @ X3 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.zB7LtG0tc5/Vampire---4.8_24812', fact_289_power__Suc)). 0.47/0.94 thf(c_0_4, plain, ![X4272:nat, X4273:nat]:(((times_times_nat @ X4272 @ X4273)=(times_times_nat @ X4273 @ X4272))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_55_mult_Ocommute])])). 0.47/0.94 thf(c_0_5, plain, ![X4276:nat]:(((suc @ X4276)=(plus_plus_nat @ X4276 @ one_one_nat))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_293_Suc__eq__plus1])])). 0.47/0.94 thf(c_0_6, negated_conjecture, ((pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (power_power_nat @ (ring_char_a_b @ r) @ (plus_plus_nat @ ma @ one_one_nat)))!=(pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (times_times_nat @ (power_power_nat @ (ring_char_a_b @ r) @ ma) @ (ring_char_a_b @ r)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.47/0.94 thf(c_0_7, plain, ![X4373:nat, X4374:nat]:(((times_times_nat @ X4373 @ X4374)=(times_times_nat @ X4374 @ X4373))), inference(variable_rename,[status(thm)],[c_0_4])). 0.47/0.94 thf(c_0_8, plain, ![X4998:nat]:(((suc @ X4998)=(plus_plus_nat @ X4998 @ one_one_nat))), inference(variable_rename,[status(thm)],[c_0_5])). 0.47/0.94 thf(c_0_9, negated_conjecture, ((pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (power_power_nat @ (ring_char_a_b @ r) @ (plus_plus_nat @ ma @ one_one_nat)))!=(pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (times_times_nat @ (power_power_nat @ (ring_char_a_b @ r) @ ma) @ (ring_char_a_b @ r)))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.47/0.94 thf(c_0_10, plain, ![X2:nat, X1:nat]:(((times_times_nat @ X1 @ X2)=(times_times_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.47/0.94 thf(c_0_11, plain, ![X1:nat]:(((suc @ X1)=(plus_plus_nat @ X1 @ one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.47/0.94 thf(c_0_12, plain, ![X4430:nat, X4431:nat]:(((power_power_nat @ X4430 @ (suc @ X4431))=(times_times_nat @ X4430 @ (power_power_nat @ X4430 @ X4431)))), inference(variable_rename,[status(thm)],[fact_289_power__Suc])). 0.47/0.94 thf(c_0_13, negated_conjecture, ((pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (times_times_nat @ (ring_char_a_b @ r) @ (power_power_nat @ (ring_char_a_b @ r) @ ma)))!=(pow_a_1026414303147256608_b_nat @ r @ (add_a_b @ r @ x @ y) @ (power_power_nat @ (ring_char_a_b @ r) @ (suc @ ma)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_11])). 0.47/0.94 thf(c_0_14, plain, ![X1:nat, X2:nat]:(((power_power_nat @ X1 @ (suc @ X2))=(times_times_nat @ X1 @ (power_power_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.47/0.94 thf(c_0_15, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])]), ['proof']). 0.47/0.94 # SZS output end CNFRefutation 0.47/0.94 # Parsed axioms : 1373 0.47/0.94 # Removed by relevancy pruning/SinE : 159 0.47/0.94 # Initial clauses : 2163 0.47/0.94 # Removed in clause preprocessing : 78 0.47/0.94 # Initial clauses in saturation : 2085 0.47/0.94 # Processed clauses : 499 0.47/0.94 # ...of these trivial : 74 0.47/0.94 # ...subsumed : 86 0.47/0.94 # ...remaining for further processing : 339 0.47/0.94 # Other redundant clauses eliminated : 98 0.47/0.94 # Clauses deleted for lack of memory : 0 0.47/0.94 # Backward-subsumed : 4 0.47/0.94 # Backward-rewritten : 10 0.47/0.94 # Generated clauses : 90 0.47/0.94 # ...of the previous two non-redundant : 37 0.47/0.94 # ...aggressively subsumed : 0 0.47/0.94 # Contextual simplify-reflections : 0 0.47/0.94 # Paramodulations : 0 0.47/0.95 # Factorizations : 0 0.47/0.95 # NegExts : 0 0.47/0.95 # Equation resolutions : 98 0.47/0.95 # Propositional unsat checks : 0 0.47/0.95 # Propositional check models : 0 0.47/0.95 # Propositional check unsatisfiable : 0 0.47/0.95 # Propositional clauses : 0 0.47/0.95 # Propositional clauses after purity: 0 0.47/0.95 # Propositional unsat core size : 0 0.47/0.95 # Propositional preprocessing time : 0.000 0.47/0.95 # Propositional encoding time : 0.000 0.47/0.95 # Propositional solver time : 0.000 0.47/0.95 # Success case prop preproc time : 0.000 0.47/0.95 # Success case prop encoding time : 0.000 0.47/0.95 # Success case prop solver time : 0.000 0.47/0.95 # Current number of processed clauses : 235 0.47/0.95 # Positive orientable unit clauses : 100 0.47/0.95 # Positive unorientable unit clauses: 3 0.47/0.95 # Negative unit clauses : 35 0.47/0.95 # Non-unit-clauses : 97 0.47/0.95 # Current number of unprocessed clauses: 1623 0.47/0.95 # ...number of literals in the above : 6144 0.47/0.95 # Current number of archived formulas : 0 0.47/0.95 # Current number of archived clauses : 14 0.47/0.95 # Clause-clause subsumption calls (NU) : 2631 0.47/0.95 # Rec. Clause-clause subsumption calls : 2215 0.47/0.95 # Non-unit clause-clause subsumptions : 50 0.47/0.95 # Unit Clause-clause subsumption calls : 490 0.47/0.95 # Rewrite failures with RHS unbound : 0 0.47/0.95 # BW rewrite match attempts : 94 0.47/0.95 # BW rewrite match successes : 61 0.47/0.95 # Condensation attempts : 499 0.47/0.95 # Condensation successes : 0 0.47/0.95 # Termbank termtop insertions : 164431 0.47/0.95 0.47/0.95 # ------------------------------------------------- 0.47/0.95 # User time : 0.232 s 0.47/0.95 # System time : 0.020 s 0.47/0.95 # Total time : 0.251 s 0.47/0.95 # Maximum resident set size: 11188 pages 0.47/0.95 0.47/0.95 # ------------------------------------------------- 0.47/0.95 # User time : 0.297 s 0.47/0.95 # System time : 0.026 s 0.47/0.95 # Total time : 0.323 s 0.47/0.95 # Maximum resident set size: 4128 pages 0.47/0.95 EOF