0.26/0.27 % Problem : SLH0446^1 : TPTP v8.2.0. Released v8.2.0. 0.26/0.28 % Command : run_E %s %d THM 0.28/0.49 % Computer : n016.cluster.edu 0.28/0.49 % Model : x86_64 x86_64 0.28/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.49 % Memory : 8042.1875MB 0.28/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.49 % CPULimit : 30 0.28/0.49 % WCLimit : 30 0.28/0.49 % DateTime : Mon Jul 3 09:56:34 EDT 2023 0.28/0.50 % CPUTime : 0.47/0.63 The problem SPC is TH0_THM_EQU_NAR 0.47/0.63 Running higher-order on 1 cores theorem proving 0.47/0.63 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.nwpV0ptOcT/Vampire---4.8_29049 0.47/0.64 # Version: 3.0pre003-ho 1.35/1.56 # partial match(1): HSLMSMSMSSMNSFA 1.35/1.56 # Preprocessing class: HMLMSMSMSSMNSFA. 1.35/1.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.35/1.56 # Starting ho_unfolding_3 with 30s (1) cores 1.35/1.56 # ho_unfolding_3 with pid 29232 completed with status 0 1.35/1.56 # Result found by ho_unfolding_3 1.35/1.56 # partial match(1): HSLMSMSMSSMNSFA 1.35/1.56 # Preprocessing class: HMLMSMSMSSMNSFA. 1.35/1.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.35/1.56 # Starting ho_unfolding_3 with 30s (1) cores 1.35/1.56 # No SInE strategy applied 1.35/1.56 # Search class: HGHSM-SMLM32-DSFFFFBN 1.35/1.56 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.35/1.56 # Starting post_as_ho7 with 17s (1) cores 1.35/1.56 # post_as_ho7 with pid 29233 completed with status 0 1.35/1.56 # Result found by post_as_ho7 1.35/1.56 # partial match(1): HSLMSMSMSSMNSFA 1.35/1.56 # Preprocessing class: HMLMSMSMSSMNSFA. 1.35/1.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.35/1.56 # Starting ho_unfolding_3 with 30s (1) cores 1.35/1.56 # No SInE strategy applied 1.35/1.56 # Search class: HGHSM-SMLM32-DSFFFFBN 1.35/1.56 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.35/1.56 # Starting post_as_ho7 with 17s (1) cores 1.35/1.56 # Preprocessing time : 0.052 s 1.35/1.56 1.35/1.56 # Proof found! 1.35/1.56 # SZS status Theorem 1.35/1.56 # SZS output start CNFRefutation 1.35/1.56 thf(decl_22, type, gauss_8159914756388622152_mat_a: nat > a > nat > nat > mat_a). 1.35/1.56 thf(decl_23, type, gauss_6280258074615264798ctor_a: mat_a > vec_a). 1.35/1.56 thf(decl_24, type, gauss_4684855476144371464ngle_a: mat_a > mat_a). 1.35/1.56 thf(decl_25, type, gauss_5855338539171749649form_a: mat_a > $o). 1.35/1.56 thf(decl_26, type, minus_minus_mat_a: mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_27, type, minus_3631651556841400635_vec_a: vec_vec_a > vec_vec_a > vec_vec_a). 1.35/1.56 thf(decl_28, type, minus_minus_vec_nat: vec_nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_29, type, minus_minus_vec_a: vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_30, type, minus_minus_nat: nat > nat > nat). 1.35/1.56 thf(decl_31, type, minus_minus_a: a > a > a). 1.35/1.56 thf(decl_32, type, one_one_nat: nat). 1.35/1.56 thf(decl_33, type, one_one_a: a). 1.35/1.56 thf(decl_34, type, plus_plus_mat_a: mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_35, type, plus_plus_vec_vec_a: vec_vec_a > vec_vec_a > vec_vec_a). 1.35/1.56 thf(decl_36, type, plus_plus_vec_nat: vec_nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_37, type, plus_plus_vec_a: vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_38, type, plus_plus_nat: nat > nat > nat). 1.35/1.56 thf(decl_39, type, plus_plus_set_mat_a: set_mat_a > set_mat_a > set_mat_a). 1.35/1.56 thf(decl_40, type, plus_plus_set_vec_a: set_vec_a > set_vec_a > set_vec_a). 1.35/1.56 thf(decl_41, type, plus_plus_set_nat: set_nat > set_nat > set_nat). 1.35/1.56 thf(decl_42, type, plus_plus_set_a: set_a > set_a > set_a). 1.35/1.56 thf(decl_43, type, plus_plus_a: a > a > a). 1.35/1.56 thf(decl_44, type, times_times_mat_a: mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_45, type, times_times_nat: nat > nat > nat). 1.35/1.56 thf(decl_46, type, times_times_a: a > a > a). 1.35/1.56 thf(decl_47, type, uminus_uminus_mat_a: mat_a > mat_a). 1.35/1.56 thf(decl_48, type, uminus6789456888195538751_mat_a: vec_mat_a > vec_mat_a). 1.35/1.56 thf(decl_49, type, uminus8262787361227035083_vec_a: vec_vec_a > vec_vec_a). 1.35/1.56 thf(decl_50, type, uminus_uminus_vec_a: vec_a > vec_a). 1.35/1.56 thf(decl_51, type, uminus_uminus_a: a > a). 1.35/1.56 thf(decl_52, type, zero_zero_nat: nat). 1.35/1.56 thf(decl_53, type, zero_zero_a: a). 1.35/1.56 thf(decl_54, type, if_nat: $o > nat > nat > nat). 1.35/1.56 thf(decl_55, type, append_rows_a: mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_56, type, append_vec_nat: vec_nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_57, type, append_vec_a: vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_58, type, carrier_mat_nat: nat > nat > set_mat_nat). 1.35/1.56 thf(decl_59, type, carrier_mat_a: nat > nat > set_mat_a). 1.35/1.56 thf(decl_60, type, carrier_vec_vec_a: nat > set_vec_vec_a). 1.35/1.56 thf(decl_61, type, carrier_vec_nat: nat > set_vec_nat). 1.35/1.56 thf(decl_62, type, carrier_vec_a: nat > set_vec_a). 1.35/1.56 thf(decl_63, type, component_mult_nat: vec_nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_64, type, component_mult_a: vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_65, type, dim_row_a: mat_a > nat). 1.35/1.56 thf(decl_66, type, dim_vec_mat_a: vec_mat_a > nat). 1.35/1.56 thf(decl_67, type, dim_vec_vec_a: vec_vec_a > nat). 1.35/1.56 thf(decl_68, type, dim_vec_nat: vec_nat > nat). 1.35/1.56 thf(decl_69, type, dim_vec_a: vec_a > nat). 1.35/1.56 thf(decl_70, type, four_block_mat_a: mat_a > mat_a > mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_71, type, mat_of_row_a: vec_a > mat_a). 1.35/1.56 thf(decl_72, type, mult_mat_vec_nat: mat_nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_73, type, mult_mat_vec_a: mat_a > vec_a > vec_a). 1.35/1.56 thf(decl_74, type, one_mat_a: nat > mat_a). 1.35/1.56 thf(decl_75, type, row_a: mat_a > nat > vec_a). 1.35/1.56 thf(decl_76, type, scalar_prod_nat: vec_nat > vec_nat > nat). 1.35/1.56 thf(decl_77, type, scalar_prod_a: vec_a > vec_a > a). 1.35/1.56 thf(decl_78, type, smult_vec_nat: nat > vec_nat > vec_nat). 1.35/1.56 thf(decl_79, type, smult_vec_a: a > vec_a > vec_a). 1.35/1.56 thf(decl_80, type, transpose_mat_nat: mat_nat > mat_nat). 1.35/1.56 thf(decl_81, type, transpose_mat_a: mat_a > mat_a). 1.35/1.56 thf(decl_82, type, update_vec_a: vec_a > nat > a > vec_a). 1.35/1.56 thf(decl_83, type, vec_first_a: vec_a > nat > vec_a). 1.35/1.56 thf(decl_84, type, vec_index_mat_a: vec_mat_a > nat > mat_a). 1.35/1.56 thf(decl_85, type, vec_index_vec_a: vec_vec_a > nat > vec_a). 1.35/1.56 thf(decl_86, type, vec_index_nat: vec_nat > nat > nat). 1.35/1.56 thf(decl_87, type, vec_index_a: vec_a > nat > a). 1.35/1.56 thf(decl_88, type, vec_last_a: vec_a > nat > vec_a). 1.35/1.56 thf(decl_89, type, zero_mat_a: nat > nat > mat_a). 1.35/1.56 thf(decl_90, type, zero_vec_nat: nat > vec_nat). 1.35/1.56 thf(decl_91, type, zero_vec_a: nat > vec_a). 1.35/1.56 thf(decl_92, type, missin386308114684349109cols_a: mat_a > mat_a > mat_a). 1.35/1.56 thf(decl_93, type, missing_mat_of_col_a: vec_a > mat_a). 1.35/1.56 thf(decl_94, type, missin5951511974119752530scal_a: a > vec_a). 1.35/1.56 thf(decl_95, type, linf_norm_vec_a: vec_a > a). 1.35/1.56 thf(decl_96, type, norm1_a: poly_a > a). 1.35/1.56 thf(decl_97, type, neg_nu181380926503873385_dec_a: a > a). 1.35/1.56 thf(decl_98, type, ord_less_vec_a: vec_a > vec_a > $o). 1.35/1.56 thf(decl_99, type, ord_less_nat: nat > nat > $o). 1.35/1.56 thf(decl_100, type, ord_less_a: a > a > $o). 1.35/1.56 thf(decl_101, type, ord_le4012615358376148468_vec_a: vec_vec_a > vec_vec_a > $o). 1.35/1.56 thf(decl_102, type, ord_less_eq_vec_nat: vec_nat > vec_nat > $o). 1.35/1.56 thf(decl_103, type, ord_less_eq_vec_a: vec_a > vec_a > $o). 1.35/1.56 thf(decl_104, type, ord_less_eq_nat: nat > nat > $o). 1.35/1.56 thf(decl_105, type, ord_le4791951621262958845_vec_a: set_vec_a > set_vec_a > $o). 1.35/1.56 thf(decl_106, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.35/1.56 thf(decl_107, type, ord_less_eq_set_a: set_a > set_a > $o). 1.35/1.56 thf(decl_108, type, ord_less_eq_a: a > a > $o). 1.35/1.56 thf(decl_109, type, schur_vec_inv_a: vec_a > vec_a). 1.35/1.56 thf(decl_110, type, collect_mat_a: (mat_a > $o) > set_mat_a). 1.35/1.56 thf(decl_111, type, collect_vec_a: (vec_a > $o) > set_vec_a). 1.35/1.56 thf(decl_112, type, member_mat_nat: mat_nat > set_mat_nat > $o). 1.35/1.56 thf(decl_113, type, member_mat_a: mat_a > set_mat_a > $o). 1.35/1.56 thf(decl_114, type, member_vec_vec_a: vec_vec_a > set_vec_vec_a > $o). 1.35/1.56 thf(decl_115, type, member_vec_nat: vec_nat > set_vec_nat > $o). 1.35/1.56 thf(decl_116, type, member_vec_a: vec_a > set_vec_a > $o). 1.35/1.56 thf(decl_117, type, member_nat: nat > set_nat > $o). 1.35/1.56 thf(decl_118, type, member_a: a > set_a > $o). 1.35/1.56 thf(decl_119, type, a2: mat_a). 1.35/1.56 thf(decl_120, type, l: vec_a). 1.35/1.56 thf(decl_121, type, m: mat_a). 1.35/1.56 thf(decl_122, type, m_last: mat_a). 1.35/1.56 thf(decl_123, type, m_low: mat_a). 1.35/1.56 thf(decl_124, type, m_up: mat_a). 1.35/1.56 thf(decl_125, type, b: vec_a). 1.35/1.56 thf(decl_126, type, bc: vec_a). 1.35/1.56 thf(decl_127, type, c: vec_a). 1.35/1.56 thf(decl_128, type, lam: a). 1.35/1.56 thf(decl_129, type, nc: nat). 1.35/1.56 thf(decl_130, type, nr: nat). 1.35/1.56 thf(decl_131, type, t: vec_a). 1.35/1.56 thf(decl_132, type, u1: vec_a). 1.35/1.56 thf(decl_133, type, u2: vec_a). 1.35/1.56 thf(decl_134, type, u3: vec_a). 1.35/1.56 thf(decl_135, type, u: vec_a). 1.35/1.56 thf(decl_136, type, ulv: vec_a). 1.35/1.56 thf(decl_137, type, v: vec_a). 1.35/1.56 thf(decl_138, type, vec1: vec_a). 1.35/1.56 thf(decl_139, type, vec2: vec_a). 1.35/1.56 thf(decl_140, type, vec3: vec_a). 1.35/1.56 thf(decl_141, type, w: vec_a). 1.35/1.56 thf(decl_142, type, esk1_0: vec_a). 1.35/1.56 thf(decl_143, type, esk2_0: vec_a). 1.35/1.56 thf(decl_144, type, esk3_2: vec_a > nat > vec_a). 1.35/1.56 thf(decl_145, type, esk4_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_146, type, esk5_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_147, type, esk6_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_148, type, esk7_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_149, type, esk8_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_150, type, esk9_3: nat > nat > (vec_a > $o) > vec_a). 1.35/1.56 thf(decl_151, type, esk10_2: nat > nat > nat). 1.35/1.56 thf(decl_152, type, esk11_2: nat > nat > nat). 1.35/1.56 thf(decl_153, type, esk12_2: (nat > $o) > nat > nat). 1.35/1.56 thf(decl_154, type, esk13_1: (nat > $o) > nat). 1.35/1.56 thf(decl_155, type, esk14_2: nat > nat > nat). 1.35/1.56 thf(decl_156, type, esk15_2: nat > nat > nat). 1.35/1.56 thf(decl_157, type, esk16_3: mat_a > nat > nat > mat_a). 1.35/1.56 thf(decl_158, type, esk17_5: mat_a > nat > nat > vec_a > vec_a > a). 1.35/1.56 thf(decl_159, type, esk18_5: mat_a > nat > nat > vec_a > vec_a > a). 1.35/1.56 thf(decl_160, type, esk19_4: mat_a > nat > nat > vec_a > vec_a). 1.35/1.56 thf(decl_161, type, esk20_4: mat_a > nat > nat > vec_a > vec_a). 1.35/1.56 thf(decl_162, type, esk21_4: mat_a > nat > nat > vec_a > vec_a). 1.35/1.56 thf(decl_163, type, esk22_4: mat_a > nat > nat > vec_a > vec_a). 1.35/1.56 thf(decl_164, type, esk23_2: vec_a > vec_a > nat). 1.35/1.56 thf(decl_165, type, esk24_1: (nat > $o) > nat). 1.35/1.56 thf(decl_166, type, esk25_1: (nat > $o) > nat). 1.35/1.56 thf(decl_167, type, esk26_2: vec_a > vec_a > nat). 1.35/1.56 thf(decl_168, type, esk27_1: (nat > $o) > nat). 1.35/1.56 thf(decl_169, type, esk28_1: (nat > nat) > nat). 1.35/1.56 thf(decl_170, type, esk29_1: (nat > nat) > nat). 1.35/1.56 thf(decl_171, type, esk30_2: vec_vec_a > vec_vec_a > nat). 1.35/1.56 thf(decl_172, type, esk31_2: vec_nat > vec_nat > nat). 1.35/1.56 thf(decl_173, type, esk32_2: vec_a > vec_a > nat). 1.35/1.56 thf(decl_174, type, esk33_2: nat > nat > nat). 1.35/1.56 thf(decl_175, type, esk34_2: (nat > $o) > nat > nat). 1.35/1.56 thf(decl_176, type, esk35_2: nat > nat > nat). 1.35/1.56 thf(decl_177, type, esk36_3: (nat > $o) > nat > nat > nat). 1.35/1.56 thf(decl_178, type, esk37_3: (nat > $o) > nat > nat > nat). 1.35/1.56 thf(decl_179, type, esk38_1: (nat > nat) > nat). 1.35/1.56 thf(decl_180, type, esk39_1: (nat > nat) > nat). 1.35/1.56 thf(decl_181, type, esk40_3: vec_a > nat > vec_a > nat). 1.35/1.56 thf(decl_182, type, esk41_3: vec_vec_a > nat > vec_vec_a > nat). 1.35/1.56 thf(decl_183, type, esk42_3: vec_nat > nat > vec_nat > nat). 1.35/1.56 thf(decl_184, type, esk43_2: a > a > a). 1.35/1.56 thf(decl_185, type, esk44_3: mat_a > set_mat_a > set_mat_a > mat_a). 1.35/1.56 thf(decl_186, type, esk45_3: mat_a > set_mat_a > set_mat_a > mat_a). 1.35/1.56 thf(decl_187, type, esk46_3: vec_a > set_vec_a > set_vec_a > vec_a). 1.35/1.56 thf(decl_188, type, esk47_3: vec_a > set_vec_a > set_vec_a > vec_a). 1.35/1.56 thf(decl_189, type, esk48_3: nat > set_nat > set_nat > nat). 1.35/1.56 thf(decl_190, type, esk49_3: nat > set_nat > set_nat > nat). 1.35/1.56 thf(decl_191, type, esk50_3: a > set_a > set_a > a). 1.35/1.56 thf(decl_192, type, esk51_3: a > set_a > set_a > a). 1.35/1.56 thf(decl_193, type, esk52_2: (nat > $o) > nat > nat). 1.35/1.56 thf(decl_194, type, esk53_1: (nat > $o) > nat). 1.35/1.56 thf(decl_195, type, esk54_1: (a > a > $o) > a). 1.35/1.56 thf(decl_196, type, esk55_1: (a > a > $o) > a). 1.35/1.56 thf(decl_197, type, esk56_1: (a > a > $o) > a). 1.35/1.56 thf(decl_198, type, esk57_1: (a > a > $o) > a). 1.35/1.56 thf(decl_199, type, esk58_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_200, type, esk59_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_201, type, esk60_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_202, type, esk61_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_203, type, esk62_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_204, type, esk63_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_205, type, esk64_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_206, type, esk65_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_207, type, esk66_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_208, type, esk67_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_209, type, esk68_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_210, type, esk69_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_211, type, esk70_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_212, type, esk71_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_213, type, esk72_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_214, type, esk73_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_215, type, esk74_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_216, type, esk75_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_217, type, esk76_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_218, type, esk77_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_219, type, esk78_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_220, type, esk79_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_221, type, esk80_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_222, type, esk81_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_223, type, esk82_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_224, type, esk83_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_225, type, esk84_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_226, type, esk85_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_227, type, esk86_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_228, type, esk87_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_229, type, esk88_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_230, type, esk89_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_231, type, esk90_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_232, type, esk91_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_233, type, esk92_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_234, type, esk93_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_235, type, esk94_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_236, type, esk95_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_237, type, esk96_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_238, type, esk97_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_239, type, esk98_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_240, type, esk99_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_241, type, esk100_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_242, type, esk101_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_243, type, esk102_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_244, type, esk103_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_245, type, esk104_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_246, type, esk105_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_247, type, esk106_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_248, type, esk107_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_249, type, esk108_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_250, type, esk109_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_251, type, esk110_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_252, type, esk111_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_253, type, esk112_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_254, type, esk113_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_255, type, esk114_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_256, type, esk115_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_257, type, esk116_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_258, type, esk117_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_259, type, esk118_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_260, type, esk119_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_261, type, esk120_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_262, type, esk121_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_263, type, esk122_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_264, type, esk123_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_265, type, esk124_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_266, type, esk125_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_267, type, esk126_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_268, type, esk127_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_269, type, esk128_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_270, type, esk129_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_271, type, esk130_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_272, type, esk131_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_273, type, esk132_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_274, type, esk133_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_275, type, esk134_2: a > a > a). 1.35/1.56 thf(decl_276, type, esk135_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_277, type, esk136_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_278, type, esk137_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_279, type, esk138_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_280, type, esk139_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_281, type, esk140_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_282, type, esk141_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_283, type, esk142_4: a > (a > a) > a > a > a). 1.35/1.56 thf(decl_284, type, esk143_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_285, type, esk144_4: vec_a > (a > vec_a) > a > a > a). 1.35/1.56 thf(decl_286, type, esk145_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_287, type, esk146_4: nat > (a > nat) > a > a > a). 1.35/1.56 thf(decl_288, type, esk147_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_289, type, esk148_4: a > (vec_a > a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_290, type, esk149_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_291, type, esk150_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_292, type, esk151_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_293, type, esk152_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 1.35/1.56 thf(decl_294, type, esk153_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_295, type, esk154_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_296, type, esk155_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_297, type, esk156_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_298, type, esk157_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_299, type, esk158_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_300, type, esk159_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_301, type, esk160_4: a > a > (a > a) > a > a). 1.35/1.56 thf(decl_302, type, esk161_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_303, type, esk162_4: a > a > (a > vec_a) > vec_a > a). 1.35/1.56 thf(decl_304, type, esk163_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_305, type, esk164_4: a > a > (a > nat) > nat > a). 1.35/1.56 thf(decl_306, type, esk165_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_307, type, esk166_4: vec_a > vec_a > (vec_a > a) > a > vec_a). 1.35/1.56 thf(decl_308, type, esk167_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_309, type, esk168_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a). 1.35/1.56 thf(decl_310, type, esk169_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_311, type, esk170_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 1.35/1.56 thf(decl_312, type, esk171_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_313, type, esk172_4: nat > nat > (nat > a) > a > nat). 1.35/1.56 thf(decl_314, type, esk173_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_315, type, esk174_4: nat > nat > (nat > vec_a) > vec_a > nat). 1.35/1.56 thf(decl_316, type, esk175_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_317, type, esk176_4: nat > nat > (nat > nat) > nat > nat). 1.35/1.56 thf(decl_318, type, esk177_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_319, type, esk178_4: a > (nat > a) > nat > nat > nat). 1.35/1.56 thf(decl_320, type, esk179_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_321, type, esk180_4: vec_a > (nat > vec_a) > nat > nat > nat). 1.35/1.56 thf(decl_322, type, esk181_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_323, type, esk182_4: nat > (nat > nat) > nat > nat > nat). 1.35/1.56 thf(decl_324, type, esk183_3: a > a > a > a). 1.35/1.56 thf(decl_325, type, esk184_3: a > a > a > a). 1.35/1.56 thf(decl_326, type, esk185_2: a > a > a). 1.35/1.56 thf(decl_327, type, esk186_2: a > a > a). 1.35/1.56 thf(decl_328, type, esk187_2: a > a > a). 1.35/1.56 thf(decl_329, type, esk188_3: mat_a > nat > mat_a > mat_a). 1.35/1.56 thf(decl_330, type, esk189_3: mat_a > nat > mat_a > mat_a). 1.35/1.56 thf(decl_331, type, esk190_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_332, type, esk191_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_333, type, esk192_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_334, type, esk193_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_335, type, esk194_1: (nat > nat > $o) > nat). 1.35/1.56 thf(decl_336, type, esk195_2: nat > (nat > $o) > nat). 1.35/1.56 thf(decl_337, type, esk196_2: nat > (nat > $o) > nat). 1.35/1.56 thf(decl_338, type, esk197_2: nat > (nat > nat > $o) > nat). 1.35/1.56 thf(decl_339, type, esk198_2: nat > (nat > nat > $o) > nat). 1.35/1.56 thf(decl_340, type, esk199_3: nat > (nat > nat > $o) > nat > nat). 1.35/1.56 thf(decl_341, type, esk200_3: nat > nat > (nat > $o) > nat). 1.35/1.56 thf(decl_342, type, esk201_4: nat > nat > (nat > $o) > nat > nat). 1.35/1.56 thf(decl_343, type, esk202_1: a > a). 1.35/1.56 thf(decl_344, type, esk203_1: nat > nat). 1.35/1.56 thf(decl_345, type, esk204_1: a > a). 1.35/1.56 thf(decl_346, type, esk205_1: nat > nat). 1.35/1.56 thf(decl_347, type, esk206_1: a > a). 1.35/1.56 thf(decl_348, type, esk207_1: nat > nat). 1.35/1.56 thf(decl_349, type, esk208_1: a > a). 1.35/1.56 thf(decl_350, type, esk209_1: nat > nat). 1.35/1.56 thf(decl_351, type, epred1_1: set_vec_a > vec_a > $o). 1.35/1.56 thf(decl_352, type, epred2_1: set_mat_a > mat_a > $o). 1.35/1.56 thf(fact_423_mat__of__col__def, axiom, ((missing_mat_of_col_a)=(^[X331:vec_a]:(transpose_mat_a @ (mat_of_row_a @ X331)))), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_423_mat__of__col__def)). 1.35/1.56 thf(fact_1_mult__mat__of__row__vec__of__scal, axiom, ![X1:vec_a, X2:a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X1) @ (missin5951511974119752530scal_a @ X2))=(smult_vec_a @ X2 @ X1))), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_1_mult__mat__of__row__vec__of__scal)). 1.35/1.56 thf(conj_0, conjecture, ((mult_mat_vec_a @ (missing_mat_of_col_a @ b) @ l)=(smult_vec_a @ lam @ b)), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', conj_0)). 1.35/1.56 thf(fact_35_vec__of__scal__dim__1, axiom, ![X1:vec_a]:(((member_vec_a @ X1 @ (carrier_vec_a @ one_one_nat))<=>((X1)=(missin5951511974119752530scal_a @ (vec_index_a @ X1 @ zero_zero_nat))))), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_35_vec__of__scal__dim__1)). 1.35/1.56 thf(fact_0_vec3__def, axiom, ((vec3)=(mult_mat_vec_a @ (missing_mat_of_col_a @ b) @ l)), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_0_vec3__def)). 1.35/1.56 thf(fact_7_L, axiom, (member_vec_a @ l @ (carrier_vec_a @ one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_7_L)). 1.35/1.56 thf(fact_2_lam__def, axiom, ((lam)=(vec_index_a @ l @ zero_zero_nat)), file('/export/starexec/sandbox2/tmp/tmp.nwpV0ptOcT/Vampire---4.8_29049', fact_2_lam__def)). 1.35/1.56 thf(c_0_7, plain, ![X4691:vec_a]:(((missing_mat_of_col_a @ X4691)=(transpose_mat_a @ (mat_of_row_a @ X4691)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_423_mat__of__col__def])])). 1.35/1.56 thf(c_0_8, plain, ![X4787:vec_a, X4788:a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X4787) @ (missin5951511974119752530scal_a @ X4788))=(smult_vec_a @ X4788 @ X4787))), inference(variable_rename,[status(thm)],[fact_1_mult__mat__of__row__vec__of__scal])). 1.35/1.56 thf(c_0_9, plain, ![X5729:vec_a]:(((missing_mat_of_col_a @ X5729)=(transpose_mat_a @ (mat_of_row_a @ X5729)))), inference(variable_rename,[status(thm)],[c_0_7])). 1.35/1.56 thf(c_0_10, negated_conjecture, ((mult_mat_vec_a @ (missing_mat_of_col_a @ b) @ l)!=(smult_vec_a @ lam @ b)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.35/1.56 thf(c_0_11, plain, ![X2:a, X1:vec_a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X1) @ (missin5951511974119752530scal_a @ X2))=(smult_vec_a @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_8])). 1.35/1.56 thf(c_0_12, plain, ![X1:vec_a]:(((missing_mat_of_col_a @ X1)=(transpose_mat_a @ (mat_of_row_a @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])). 1.35/1.56 thf(c_0_13, plain, ![X4837:vec_a]:(((~(member_vec_a @ X4837 @ (carrier_vec_a @ one_one_nat))|((X4837)=(missin5951511974119752530scal_a @ (vec_index_a @ X4837 @ zero_zero_nat))))&(((X4837)!=(missin5951511974119752530scal_a @ (vec_index_a @ X4837 @ zero_zero_nat)))|(member_vec_a @ X4837 @ (carrier_vec_a @ one_one_nat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_35_vec__of__scal__dim__1])])). 1.35/1.56 thf(c_0_14, negated_conjecture, ((mult_mat_vec_a @ (missing_mat_of_col_a @ b) @ l)!=(smult_vec_a @ lam @ b)), inference(split_conjunct,[status(thm)],[c_0_10])). 1.35/1.56 thf(c_0_15, plain, ![X2:a, X1:vec_a]:(((mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ X1)) @ (missin5951511974119752530scal_a @ X2))=(smult_vec_a @ X2 @ X1))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 1.35/1.56 thf(c_0_16, plain, ((vec3)=(mult_mat_vec_a @ (missing_mat_of_col_a @ b) @ l)), inference(split_conjunct,[status(thm)],[fact_0_vec3__def])). 1.35/1.56 thf(c_0_17, plain, ![X1:vec_a]:((((X1)=(missin5951511974119752530scal_a @ (vec_index_a @ X1 @ zero_zero_nat)))|~((member_vec_a @ X1 @ (carrier_vec_a @ one_one_nat))))), inference(split_conjunct,[status(thm)],[c_0_13])). 1.35/1.56 thf(c_0_18, plain, (member_vec_a @ l @ (carrier_vec_a @ one_one_nat)), inference(split_conjunct,[status(thm)],[fact_7_L])). 1.35/1.56 thf(c_0_19, plain, ((lam)=(vec_index_a @ l @ zero_zero_nat)), inference(split_conjunct,[status(thm)],[fact_2_lam__def])). 1.35/1.56 thf(c_0_20, negated_conjecture, ((mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ b)) @ l)!=(mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ b)) @ (missin5951511974119752530scal_a @ lam))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_12]), c_0_15])). 1.35/1.56 thf(c_0_21, plain, ((vec3)=(mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ b)) @ l)), inference(rw,[status(thm)],[c_0_16, c_0_12])). 1.35/1.56 thf(c_0_22, plain, ((missin5951511974119752530scal_a @ lam)=(l)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 1.35/1.56 thf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_21])]), ['proof']). 1.35/1.56 # SZS output end CNFRefutation 1.35/1.56 # Parsed axioms : 1409 1.35/1.56 # Removed by relevancy pruning/SinE : 0 1.35/1.56 # Initial clauses : 2582 1.35/1.56 # Removed in clause preprocessing : 250 1.35/1.56 # Initial clauses in saturation : 2332 1.35/1.56 # Processed clauses : 2335 1.35/1.56 # ...of these trivial : 101 1.35/1.56 # ...subsumed : 973 1.35/1.56 # ...remaining for further processing : 1260 1.35/1.56 # Other redundant clauses eliminated : 328 1.35/1.56 # Clauses deleted for lack of memory : 0 1.35/1.56 # Backward-subsumed : 34 1.35/1.56 # Backward-rewritten : 21 1.35/1.56 # Generated clauses : 29787 1.35/1.56 # ...of the previous two non-redundant : 26489 1.35/1.56 # ...aggressively subsumed : 0 1.35/1.56 # Contextual simplify-reflections : 4 1.35/1.56 # Paramodulations : 29064 1.35/1.56 # Factorizations : 24 1.35/1.56 # NegExts : 0 1.35/1.56 # Equation resolutions : 415 1.35/1.56 # Propositional unsat checks : 0 1.35/1.56 # Propositional check models : 0 1.35/1.56 # Propositional check unsatisfiable : 0 1.35/1.56 # Propositional clauses : 0 1.35/1.56 # Propositional clauses after purity: 0 1.35/1.56 # Propositional unsat core size : 0 1.35/1.56 # Propositional preprocessing time : 0.000 1.35/1.56 # Propositional encoding time : 0.000 1.35/1.56 # Propositional solver time : 0.000 1.35/1.56 # Success case prop preproc time : 0.000 1.35/1.56 # Success case prop encoding time : 0.000 1.35/1.56 # Success case prop solver time : 0.000 1.35/1.56 # Current number of processed clauses : 1130 1.35/1.56 # Positive orientable unit clauses : 179 1.35/1.56 # Positive unorientable unit clauses: 7 1.35/1.56 # Negative unit clauses : 16 1.35/1.56 # Non-unit-clauses : 928 1.35/1.56 # Current number of unprocessed clauses: 26486 1.35/1.56 # ...number of literals in the above : 85788 1.35/1.56 # Current number of archived formulas : 0 1.35/1.56 # Current number of archived clauses : 62 1.35/1.56 # Clause-clause subsumption calls (NU) : 170925 1.35/1.56 # Rec. Clause-clause subsumption calls : 97161 1.35/1.56 # Non-unit clause-clause subsumptions : 864 1.35/1.56 # Unit Clause-clause subsumption calls : 1973 1.35/1.56 # Rewrite failures with RHS unbound : 0 1.35/1.56 # BW rewrite match attempts : 252 1.35/1.56 # BW rewrite match successes : 109 1.35/1.56 # Condensation attempts : 0 1.35/1.56 # Condensation successes : 0 1.35/1.56 # Termbank termtop insertions : 1103912 1.35/1.56 1.35/1.56 # ------------------------------------------------- 1.35/1.56 # User time : 0.829 s 1.35/1.56 # System time : 0.042 s 1.35/1.56 # Total time : 0.871 s 1.35/1.56 # Maximum resident set size: 12464 pages 1.35/1.56 1.35/1.56 # ------------------------------------------------- 1.35/1.56 # User time : 0.877 s 1.35/1.56 # System time : 0.047 s 1.35/1.56 # Total time : 0.924 s 1.35/1.56 # Maximum resident set size: 4308 pages 1.35/1.56 EOF