0.11/0.31 % Problem : SLH0120^1 : TPTP v8.2.0. Released v8.2.0. 0.31/0.32 % Command : run_E %s %d THM 0.31/0.53 % Computer : n025.cluster.edu 0.31/0.53 % Model : x86_64 x86_64 0.31/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.31/0.53 % Memory : 8042.1875MB 0.31/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.31/0.53 % CPULimit : 30 0.31/0.53 % WCLimit : 30 0.31/0.53 % DateTime : Mon Jul 3 08:44:23 EDT 2023 0.31/0.53 % CPUTime : 0.48/0.65 The problem SPC is TH0_THM_EQU_NAR 0.48/0.65 Running higher-order on 1 cores theorem proving 0.48/0.66 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.9xI7m13nTW/Vampire---4.8_21856 0.48/0.66 # Version: 3.0pre003-ho 0.99/1.20 # partial match(1): HSLMSMSMSSMNSFA 0.99/1.20 # Preprocessing class: HMLMSMSMSSMNSFA. 0.99/1.20 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.99/1.20 # Starting ho_unfolding_3 with 30s (1) cores 0.99/1.20 # ho_unfolding_3 with pid 22157 completed with status 0 0.99/1.20 # Result found by ho_unfolding_3 0.99/1.20 # partial match(1): HSLMSMSMSSMNSFA 0.99/1.20 # Preprocessing class: HMLMSMSMSSMNSFA. 0.99/1.20 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.99/1.20 # Starting ho_unfolding_3 with 30s (1) cores 0.99/1.20 # No SInE strategy applied 0.99/1.20 # Search class: HGHSM-SMLM31-MSFFFFBN 0.99/1.20 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.99/1.20 # Starting sh6 with 17s (1) cores 0.99/1.20 # sh6 with pid 22236 completed with status 0 0.99/1.20 # Result found by sh6 0.99/1.20 # partial match(1): HSLMSMSMSSMNSFA 0.99/1.20 # Preprocessing class: HMLMSMSMSSMNSFA. 0.99/1.20 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.99/1.20 # Starting ho_unfolding_3 with 30s (1) cores 0.99/1.20 # No SInE strategy applied 0.99/1.20 # Search class: HGHSM-SMLM31-MSFFFFBN 0.99/1.20 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.99/1.20 # Starting sh6 with 17s (1) cores 0.99/1.20 # Preprocessing time : 0.036 s 0.99/1.20 # Presaturation interreduction done 0.99/1.20 0.99/1.20 # Proof found! 0.99/1.20 # SZS status Theorem 0.99/1.20 # SZS output start CNFRefutation 0.99/1.20 thf(decl_22, type, char_c872259621517735348omplex: mat_complex > complex > mat_complex). 0.99/1.20 thf(decl_23, type, char_c4597223634827269298x_real: mat_real > real > mat_real). 0.99/1.20 thf(decl_24, type, char_char_matrix_a: mat_a > a > mat_a). 0.99/1.20 thf(decl_25, type, char_e7032225803028799586omplex: mat_complex > complex > $o). 0.99/1.20 thf(decl_26, type, char_eigenvalue_real: mat_real > real > $o). 0.99/1.20 thf(decl_27, type, char_eigenvalue_a: mat_a > a > $o). 0.99/1.20 thf(decl_28, type, char_e8780535232863247280omplex: mat_complex > vec_complex > complex > $o). 0.99/1.20 thf(decl_29, type, char_eigenvector_a: mat_a > vec_a > a > $o). 0.99/1.20 thf(decl_30, type, char_f5093172276329522359omplex: mat_complex > complex > vec_complex). 0.99/1.20 thf(decl_31, type, char_f1402838033787919669ctor_a: mat_a > a > vec_a). 0.99/1.20 thf(decl_32, type, column896436094548437152omplex: complex > nat > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_33, type, column5439950039029753374ol_int: int > nat > nat > mat_int > mat_int). 0.99/1.20 thf(decl_34, type, column5442440509538803650ol_nat: nat > nat > nat > mat_nat > mat_nat). 0.99/1.20 thf(decl_35, type, column5677306341442300318l_real: real > nat > nat > mat_real > mat_real). 0.99/1.20 thf(decl_36, type, column_mat_addcol_a: a > nat > nat > mat_a > mat_a). 0.99/1.20 thf(decl_37, type, column4410001698458707789omplex: nat > complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_38, type, column382118079982894795ol_int: nat > int > mat_int > mat_int). 0.99/1.20 thf(decl_39, type, column384608550491945071ol_nat: nat > nat > mat_nat > mat_nat). 0.99/1.20 thf(decl_40, type, column7747928533466807243l_real: nat > real > mat_real > mat_real). 0.99/1.20 thf(decl_41, type, column_mat_multcol_a: nat > a > mat_a > mat_a). 0.99/1.20 thf(decl_42, type, column4357519492343924999omplex: nat > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_43, type, column2528828918332591333cols_a: nat > nat > mat_a > mat_a). 0.99/1.20 thf(decl_44, type, column7161609239796038556omplex: nat > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_45, type, column5129559316938501008rows_a: nat > nat > mat_a > mat_a). 0.99/1.20 thf(decl_46, type, comple5220265106149225959erator: mat_complex > $o). 0.99/1.20 thf(decl_47, type, comple8306762464034002205omplex: mat_complex > $o). 0.99/1.20 thf(decl_48, type, complex_hermitian_a: mat_a > $o). 0.99/1.20 thf(decl_49, type, comple3482886691669134300omplex: vec_complex > vec_complex > mat_complex). 0.99/1.20 thf(decl_50, type, comple2372354590771455706d_real: vec_real > vec_real > mat_real). 0.99/1.20 thf(decl_51, type, complex_outer_prod_a: vec_a > vec_a > mat_a). 0.99/1.20 thf(decl_52, type, comple1169154605998056944erator: mat_complex > $o). 0.99/1.20 thf(decl_53, type, complex_positive: mat_complex > $o). 0.99/1.20 thf(decl_54, type, comple3184165445352484367omplex: mat_complex > complex). 0.99/1.20 thf(decl_55, type, complex_trace_int: mat_int > int). 0.99/1.20 thf(decl_56, type, complex_trace_real: mat_real > real). 0.99/1.20 thf(decl_57, type, complex_trace_a: mat_a > a). 0.99/1.20 thf(decl_58, type, comple6660659447773130958omplex: mat_complex > $o). 0.99/1.20 thf(decl_59, type, complex_unitary_a: mat_a > $o). 0.99/1.20 thf(decl_60, type, complex_vec_norm: vec_complex > complex). 0.99/1.20 thf(decl_61, type, comple4574777266704358014malize: vec_complex > vec_complex). 0.99/1.20 thf(decl_62, type, conjug1878831970375765195omplex: complex > complex). 0.99/1.20 thf(decl_63, type, conjug5741917859708002377te_int: int > int). 0.99/1.20 thf(decl_64, type, conjug5127946762835395006omplex: vec_complex > vec_complex). 0.99/1.20 thf(decl_65, type, conjug4884081946748880444ec_int: vec_int > vec_int). 0.99/1.20 thf(decl_66, type, conjug3612589096773959740c_real: vec_real > vec_real). 0.99/1.20 thf(decl_67, type, conjug3714139785361555588_vec_a: vec_a > vec_a). 0.99/1.20 thf(decl_68, type, conjug5285086307881418313e_real: real > real). 0.99/1.20 thf(decl_69, type, conjug308488923880221217gate_a: a > a). 0.99/1.20 thf(decl_70, type, adj_mat_complex: mat_complex > mat_complex). 0.99/1.20 thf(decl_71, type, adj_mat_int: mat_int > mat_int). 0.99/1.20 thf(decl_72, type, adj_mat_a: mat_a > mat_a). 0.99/1.20 thf(decl_73, type, det_complex: mat_complex > complex). 0.99/1.20 thf(decl_74, type, det_int: mat_int > int). 0.99/1.20 thf(decl_75, type, det_real: mat_real > real). 0.99/1.20 thf(decl_76, type, det_a: mat_a > a). 0.99/1.20 thf(decl_77, type, gauss_5551336624224331150omplex: mat_complex > vec_complex). 0.99/1.20 thf(decl_78, type, gauss_6280258074615264798ctor_a: mat_a > vec_a). 0.99/1.20 thf(decl_79, type, gauss_4244865067341541924omplex: mat_complex > mat_complex). 0.99/1.20 thf(decl_80, type, gauss_4684855476144371464ngle_a: mat_a > mat_a). 0.99/1.20 thf(decl_81, type, gauss_194721375535881179omplex: mat_complex > $o). 0.99/1.20 thf(decl_82, type, gauss_519676653727174489rm_int: mat_int > $o). 0.99/1.20 thf(decl_83, type, gauss_5855338539171749649form_a: mat_a > $o). 0.99/1.20 thf(decl_84, type, minus_minus_complex: complex > complex > complex). 0.99/1.20 thf(decl_85, type, minus_minus_int: int > int > int). 0.99/1.20 thf(decl_86, type, minus_2412168080157227406omplex: mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_87, type, minus_minus_mat_int: mat_int > mat_int > mat_int). 0.99/1.20 thf(decl_88, type, minus_1104642222790461277omplex: mat_mat_complex > mat_mat_complex > mat_mat_complex). 0.99/1.20 thf(decl_89, type, minus_5517051338852180433omplex: mat_vec_complex > mat_vec_complex > mat_vec_complex). 0.99/1.20 thf(decl_90, type, minus_minus_mat_nat: mat_nat > mat_nat > mat_nat). 0.99/1.20 thf(decl_91, type, minus_minus_mat_real: mat_real > mat_real > mat_real). 0.99/1.20 thf(decl_92, type, minus_minus_mat_a: mat_a > mat_a > mat_a). 0.99/1.20 thf(decl_93, type, minus_6391593812940525058omplex: vec_complex > vec_complex > vec_complex). 0.99/1.20 thf(decl_94, type, minus_minus_vec_int: vec_int > vec_int > vec_int). 0.99/1.20 thf(decl_95, type, minus_minus_vec_real: vec_real > vec_real > vec_real). 0.99/1.20 thf(decl_96, type, minus_minus_vec_a: vec_a > vec_a > vec_a). 0.99/1.20 thf(decl_97, type, minus_minus_nat: nat > nat > nat). 0.99/1.20 thf(decl_98, type, minus_minus_real: real > real > real). 0.99/1.20 thf(decl_99, type, minus_minus_a: a > a > a). 0.99/1.20 thf(decl_100, type, one_one_complex: complex). 0.99/1.20 thf(decl_101, type, one_one_int: int). 0.99/1.20 thf(decl_102, type, one_one_nat: nat). 0.99/1.20 thf(decl_103, type, one_one_real: real). 0.99/1.20 thf(decl_104, type, one_one_a: a). 0.99/1.20 thf(decl_105, type, plus_plus_complex: complex > complex > complex). 0.99/1.20 thf(decl_106, type, plus_plus_int: int > int > int). 0.99/1.20 thf(decl_107, type, plus_p8323303612493835998omplex: mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_108, type, plus_plus_mat_int: mat_int > mat_int > mat_int). 0.99/1.20 thf(decl_109, type, plus_plus_mat_nat: mat_nat > mat_nat > mat_nat). 0.99/1.20 thf(decl_110, type, plus_plus_mat_real: mat_real > mat_real > mat_real). 0.99/1.20 thf(decl_111, type, plus_plus_mat_a: mat_a > mat_a > mat_a). 0.99/1.20 thf(decl_112, type, plus_p3079357308422357842omplex: vec_complex > vec_complex > vec_complex). 0.99/1.20 thf(decl_113, type, plus_plus_vec_int: vec_int > vec_int > vec_int). 0.99/1.20 thf(decl_114, type, plus_plus_vec_nat: vec_nat > vec_nat > vec_nat). 0.99/1.20 thf(decl_115, type, plus_plus_vec_real: vec_real > vec_real > vec_real). 0.99/1.20 thf(decl_116, type, plus_plus_vec_a: vec_a > vec_a > vec_a). 0.99/1.20 thf(decl_117, type, plus_plus_nat: nat > nat > nat). 0.99/1.20 thf(decl_118, type, plus_plus_real: real > real > real). 0.99/1.20 thf(decl_119, type, plus_p7052360327008956141omplex: set_complex > set_complex > set_complex). 0.99/1.20 thf(decl_120, type, plus_plus_set_int: set_int > set_int > set_int). 0.99/1.20 thf(decl_121, type, plus_p4229080058245121342omplex: set_mat_complex > set_mat_complex > set_mat_complex). 0.99/1.20 thf(decl_122, type, plus_plus_set_mat_a: set_mat_a > set_mat_a > set_mat_a). 0.99/1.20 thf(decl_123, type, plus_p8641489174306840498omplex: set_vec_complex > set_vec_complex > set_vec_complex). 0.99/1.20 thf(decl_124, type, plus_plus_set_vec_a: set_vec_a > set_vec_a > set_vec_a). 0.99/1.20 thf(decl_125, type, plus_plus_set_nat: set_nat > set_nat > set_nat). 0.99/1.20 thf(decl_126, type, plus_plus_set_real: set_real > set_real > set_real). 0.99/1.20 thf(decl_127, type, plus_plus_a: a > a > a). 0.99/1.20 thf(decl_128, type, times_times_complex: complex > complex > complex). 0.99/1.20 thf(decl_129, type, times_times_int: int > int > int). 0.99/1.20 thf(decl_130, type, times_8009071140041733218omplex: mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_131, type, times_times_mat_int: mat_int > mat_int > mat_int). 0.99/1.20 thf(decl_132, type, times_times_mat_real: mat_real > mat_real > mat_real). 0.99/1.20 thf(decl_133, type, times_times_mat_a: mat_a > mat_a > mat_a). 0.99/1.20 thf(decl_134, type, times_times_nat: nat > nat > nat). 0.99/1.20 thf(decl_135, type, times_times_real: real > real > real). 0.99/1.20 thf(decl_136, type, times_6048082448287401577omplex: set_complex > set_complex > set_complex). 0.99/1.20 thf(decl_137, type, times_times_set_int: set_int > set_int > set_int). 0.99/1.20 thf(decl_138, type, times_6731331324747250370omplex: set_mat_complex > set_mat_complex > set_mat_complex). 0.99/1.20 thf(decl_139, type, times_1230744552615602198_mat_a: set_mat_a > set_mat_a > set_mat_a). 0.99/1.20 thf(decl_140, type, times_times_set_nat: set_nat > set_nat > set_nat). 0.99/1.20 thf(decl_141, type, times_times_set_real: set_real > set_real > set_real). 0.99/1.20 thf(decl_142, type, times_times_a: a > a > a). 0.99/1.20 thf(decl_143, type, zero_zero_complex: complex). 0.99/1.20 thf(decl_144, type, zero_zero_int: int). 0.99/1.20 thf(decl_145, type, zero_zero_nat: nat). 0.99/1.20 thf(decl_146, type, zero_zero_real: real). 0.99/1.20 thf(decl_147, type, zero_zero_a: a). 0.99/1.20 thf(decl_148, type, if_complex: $o > complex > complex > complex). 0.99/1.20 thf(decl_149, type, if_int: $o > int > int > int). 0.99/1.20 thf(decl_150, type, if_mat_complex: $o > mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_151, type, if_vec_complex: $o > vec_complex > vec_complex > vec_complex). 0.99/1.20 thf(decl_152, type, if_nat: $o > nat > nat > nat). 0.99/1.20 thf(decl_153, type, if_real: $o > real > real > real). 0.99/1.20 thf(decl_154, type, linear7199532782703566157sq_mat: nat > nat > set_mat_complex > $o). 0.99/1.20 thf(decl_155, type, linear2567731547100889994omplex: nat > mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_156, type, linear5633924348262549461omplex: mat_complex > $o). 0.99/1.20 thf(decl_157, type, linear2821214051344812439ctor_a: mat_a > $o). 0.99/1.20 thf(decl_158, type, linear1949544614684794075omplex: vec_complex > mat_complex). 0.99/1.20 thf(decl_159, type, linear4566176624646923865j_real: vec_real > mat_real). 0.99/1.20 thf(decl_160, type, linear2728813245073104401proj_a: vec_a > mat_a). 0.99/1.20 thf(decl_161, type, carrier_mat_complex: nat > nat > set_mat_complex). 0.99/1.20 thf(decl_162, type, carrier_mat_int: nat > nat > set_mat_int). 0.99/1.20 thf(decl_163, type, carrie8442657464762054641omplex: nat > nat > set_mat_mat_complex). 0.99/1.20 thf(decl_164, type, carrier_mat_mat_a: nat > nat > set_mat_mat_a). 0.99/1.20 thf(decl_165, type, carrie3198711160690576485omplex: nat > nat > set_mat_vec_complex). 0.99/1.20 thf(decl_166, type, carrier_mat_vec_a: nat > nat > set_mat_vec_a). 0.99/1.20 thf(decl_167, type, carrier_mat_nat: nat > nat > set_mat_nat). 0.99/1.20 thf(decl_168, type, carrier_mat_real: nat > nat > set_mat_real). 0.99/1.20 thf(decl_169, type, carrier_mat_a: nat > nat > set_mat_a). 0.99/1.20 thf(decl_170, type, carrier_vec_complex: nat > set_vec_complex). 0.99/1.20 thf(decl_171, type, carrier_vec_int: nat > set_vec_int). 0.99/1.20 thf(decl_172, type, carrier_vec_nat: nat > set_vec_nat). 0.99/1.20 thf(decl_173, type, carrier_vec_real: nat > set_vec_real). 0.99/1.20 thf(decl_174, type, carrier_vec_a: nat > set_vec_a). 0.99/1.20 thf(decl_175, type, col_complex: mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_176, type, col_int: mat_int > nat > vec_int). 0.99/1.20 thf(decl_177, type, col_nat: mat_nat > nat > vec_nat). 0.99/1.20 thf(decl_178, type, col_real: mat_real > nat > vec_real). 0.99/1.20 thf(decl_179, type, col_a: mat_a > nat > vec_a). 0.99/1.20 thf(decl_180, type, diag_mat_complex: mat_complex > list_complex). 0.99/1.20 thf(decl_181, type, diag_mat_a: mat_a > list_a). 0.99/1.20 thf(decl_182, type, diagonal_mat_complex: mat_complex > $o). 0.99/1.20 thf(decl_183, type, diagonal_mat_int: mat_int > $o). 0.99/1.20 thf(decl_184, type, diagonal_mat_nat: mat_nat > $o). 0.99/1.20 thf(decl_185, type, diagonal_mat_real: mat_real > $o). 0.99/1.20 thf(decl_186, type, diagonal_mat_a: mat_a > $o). 0.99/1.20 thf(decl_187, type, dim_col_complex: mat_complex > nat). 0.99/1.20 thf(decl_188, type, dim_col_int: mat_int > nat). 0.99/1.20 thf(decl_189, type, dim_col_mat_complex: mat_mat_complex > nat). 0.99/1.20 thf(decl_190, type, dim_col_mat_a: mat_mat_a > nat). 0.99/1.20 thf(decl_191, type, dim_col_vec_complex: mat_vec_complex > nat). 0.99/1.20 thf(decl_192, type, dim_col_vec_a: mat_vec_a > nat). 0.99/1.20 thf(decl_193, type, dim_col_nat: mat_nat > nat). 0.99/1.20 thf(decl_194, type, dim_col_real: mat_real > nat). 0.99/1.20 thf(decl_195, type, dim_col_a: mat_a > nat). 0.99/1.20 thf(decl_196, type, dim_row_complex: mat_complex > nat). 0.99/1.20 thf(decl_197, type, dim_row_int: mat_int > nat). 0.99/1.20 thf(decl_198, type, dim_row_mat_complex: mat_mat_complex > nat). 0.99/1.20 thf(decl_199, type, dim_row_mat_a: mat_mat_a > nat). 0.99/1.20 thf(decl_200, type, dim_row_vec_complex: mat_vec_complex > nat). 0.99/1.20 thf(decl_201, type, dim_row_vec_a: mat_vec_a > nat). 0.99/1.20 thf(decl_202, type, dim_row_nat: mat_nat > nat). 0.99/1.20 thf(decl_203, type, dim_row_real: mat_real > nat). 0.99/1.20 thf(decl_204, type, dim_row_a: mat_a > nat). 0.99/1.20 thf(decl_205, type, dim_vec_complex: vec_complex > nat). 0.99/1.20 thf(decl_206, type, dim_vec_int: vec_int > nat). 0.99/1.20 thf(decl_207, type, dim_vec_nat: vec_nat > nat). 0.99/1.20 thf(decl_208, type, dim_vec_real: vec_real > nat). 0.99/1.20 thf(decl_209, type, dim_vec_a: vec_a > nat). 0.99/1.20 thf(decl_210, type, elements_mat_complex: mat_complex > set_complex). 0.99/1.20 thf(decl_211, type, elemen3580889201824698026omplex: mat_mat_complex > set_mat_complex). 0.99/1.20 thf(decl_212, type, elements_mat_mat_a: mat_mat_a > set_mat_a). 0.99/1.20 thf(decl_213, type, elemen7560314934607995678omplex: mat_vec_complex > set_vec_complex). 0.99/1.20 thf(decl_214, type, elements_mat_vec_a: mat_vec_a > set_vec_a). 0.99/1.20 thf(decl_215, type, elements_mat_a: mat_a > set_a). 0.99/1.20 thf(decl_216, type, index_mat_complex: mat_complex > product_prod_nat_nat > complex). 0.99/1.20 thf(decl_217, type, index_mat_int: mat_int > product_prod_nat_nat > int). 0.99/1.20 thf(decl_218, type, index_7093623372566408491omplex: mat_mat_complex > product_prod_nat_nat > mat_complex). 0.99/1.20 thf(decl_219, type, index_mat_mat_a: mat_mat_a > product_prod_nat_nat > mat_a). 0.99/1.20 thf(decl_220, type, index_1849677068494930335omplex: mat_vec_complex > product_prod_nat_nat > vec_complex). 0.99/1.20 thf(decl_221, type, index_mat_vec_a: mat_vec_a > product_prod_nat_nat > vec_a). 0.99/1.20 thf(decl_222, type, index_mat_nat: mat_nat > product_prod_nat_nat > nat). 0.99/1.20 thf(decl_223, type, index_mat_real: mat_real > product_prod_nat_nat > real). 0.99/1.20 thf(decl_224, type, index_mat_a: mat_a > product_prod_nat_nat > a). 0.99/1.20 thf(decl_225, type, inverts_mat_complex: mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_226, type, inverts_mat_int: mat_int > mat_int > $o). 0.99/1.20 thf(decl_227, type, inverts_mat_a: mat_a > mat_a > $o). 0.99/1.20 thf(decl_228, type, mk_diagonal_complex: list_complex > mat_complex). 0.99/1.20 thf(decl_229, type, mult_mat_vec_complex: mat_complex > vec_complex > vec_complex). 0.99/1.20 thf(decl_230, type, mult_mat_vec_int: mat_int > vec_int > vec_int). 0.99/1.20 thf(decl_231, type, mult_mat_vec_real: mat_real > vec_real > vec_real). 0.99/1.20 thf(decl_232, type, mult_mat_vec_a: mat_a > vec_a > vec_a). 0.99/1.20 thf(decl_233, type, one_mat_complex: nat > mat_complex). 0.99/1.20 thf(decl_234, type, one_mat_int: nat > mat_int). 0.99/1.20 thf(decl_235, type, one_mat_nat: nat > mat_nat). 0.99/1.20 thf(decl_236, type, one_mat_real: nat > mat_real). 0.99/1.20 thf(decl_237, type, one_mat_a: nat > mat_a). 0.99/1.20 thf(decl_238, type, orthog8260864895371523401omplex: mat_complex > $o). 0.99/1.20 thf(decl_239, type, orthogonal_mat_int: mat_int > $o). 0.99/1.20 thf(decl_240, type, orthogonal_mat_nat: mat_nat > $o). 0.99/1.20 thf(decl_241, type, orthogonal_mat_real: mat_real > $o). 0.99/1.20 thf(decl_242, type, orthogonal_mat_a: mat_a > $o). 0.99/1.20 thf(decl_243, type, row_complex: mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_244, type, row_int: mat_int > nat > vec_int). 0.99/1.20 thf(decl_245, type, row_real: mat_real > nat > vec_real). 0.99/1.20 thf(decl_246, type, row_a: mat_a > nat > vec_a). 0.99/1.20 thf(decl_247, type, scalar_prod_complex: vec_complex > vec_complex > complex). 0.99/1.20 thf(decl_248, type, scalar_prod_int: vec_int > vec_int > int). 0.99/1.20 thf(decl_249, type, scalar_prod_nat: vec_nat > vec_nat > nat). 0.99/1.20 thf(decl_250, type, scalar_prod_real: vec_real > vec_real > real). 0.99/1.20 thf(decl_251, type, scalar_prod_a: vec_a > vec_a > a). 0.99/1.20 thf(decl_252, type, simila5774310414453981135omplex: mat_complex > mat_complex > mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_253, type, similar_mat_wit_int: mat_int > mat_int > mat_int > mat_int > $o). 0.99/1.20 thf(decl_254, type, similar_mat_wit_a: mat_a > mat_a > mat_a > mat_a > $o). 0.99/1.20 thf(decl_255, type, smult_mat_complex: complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_256, type, smult_mat_int: int > mat_int > mat_int). 0.99/1.20 thf(decl_257, type, smult_779153608156729276omplex: mat_complex > mat_mat_complex > mat_mat_complex). 0.99/1.20 thf(decl_258, type, smult_mat_nat: nat > mat_nat > mat_nat). 0.99/1.20 thf(decl_259, type, smult_mat_real: real > mat_real > mat_real). 0.99/1.20 thf(decl_260, type, smult_mat_a: a > mat_a > mat_a). 0.99/1.20 thf(decl_261, type, smult_vec_complex: complex > vec_complex > vec_complex). 0.99/1.20 thf(decl_262, type, smult_vec_int: int > vec_int > vec_int). 0.99/1.20 thf(decl_263, type, smult_vec_nat: nat > vec_nat > vec_nat). 0.99/1.20 thf(decl_264, type, smult_vec_real: real > vec_real > vec_real). 0.99/1.20 thf(decl_265, type, smult_vec_a: a > vec_a > vec_a). 0.99/1.20 thf(decl_266, type, square_mat_complex: mat_complex > $o). 0.99/1.20 thf(decl_267, type, transp3074176993011536131omplex: mat_complex > mat_complex). 0.99/1.20 thf(decl_268, type, transpose_mat_int: mat_int > mat_int). 0.99/1.20 thf(decl_269, type, transpose_mat_a: mat_a > mat_a). 0.99/1.20 thf(decl_270, type, unit_vec_complex: nat > nat > vec_complex). 0.99/1.20 thf(decl_271, type, unit_vec_int: nat > nat > vec_int). 0.99/1.20 thf(decl_272, type, unit_vec_a: nat > nat > vec_a). 0.99/1.20 thf(decl_273, type, update_mat_complex: mat_complex > product_prod_nat_nat > complex > mat_complex). 0.99/1.20 thf(decl_274, type, update_mat_a: mat_a > product_prod_nat_nat > a > mat_a). 0.99/1.20 thf(decl_275, type, upper_4850907204721561915omplex: mat_complex > $o). 0.99/1.20 thf(decl_276, type, upper_triangular_int: mat_int > $o). 0.99/1.20 thf(decl_277, type, upper_triangular_nat: mat_nat > $o). 0.99/1.20 thf(decl_278, type, upper_8570057991637822137r_real: mat_real > $o). 0.99/1.20 thf(decl_279, type, upper_triangular_a: mat_a > $o). 0.99/1.20 thf(decl_280, type, vec_first_complex: vec_complex > nat > vec_complex). 0.99/1.20 thf(decl_281, type, vec_first_a: vec_a > nat > vec_a). 0.99/1.20 thf(decl_282, type, vec_last_complex: vec_complex > nat > vec_complex). 0.99/1.20 thf(decl_283, type, vec_last_a: vec_a > nat > vec_a). 0.99/1.20 thf(decl_284, type, zero_mat_complex: nat > nat > mat_complex). 0.99/1.20 thf(decl_285, type, zero_mat_int: nat > nat > mat_int). 0.99/1.20 thf(decl_286, type, zero_mat_nat: nat > nat > mat_nat). 0.99/1.20 thf(decl_287, type, zero_mat_real: nat > nat > mat_real). 0.99/1.20 thf(decl_288, type, zero_mat_a: nat > nat > mat_a). 0.99/1.20 thf(decl_289, type, zero_vec_complex: nat > vec_complex). 0.99/1.20 thf(decl_290, type, zero_vec_int: nat > vec_int). 0.99/1.20 thf(decl_291, type, zero_vec_nat: nat > vec_nat). 0.99/1.20 thf(decl_292, type, zero_vec_real: nat > vec_real). 0.99/1.20 thf(decl_293, type, zero_vec_a: nat > vec_a). 0.99/1.20 thf(decl_294, type, semiri8010041392384452111omplex: nat > complex). 0.99/1.20 thf(decl_295, type, semiri1314217659103216013at_int: nat > int). 0.99/1.20 thf(decl_296, type, semiri5074537144036343181t_real: nat > real). 0.99/1.20 thf(decl_297, type, ord_less_complex: complex > complex > $o). 0.99/1.20 thf(decl_298, type, ord_less_int: int > int > $o). 0.99/1.20 thf(decl_299, type, ord_less_nat: nat > nat > $o). 0.99/1.20 thf(decl_300, type, ord_less_real: real > real > $o). 0.99/1.20 thf(decl_301, type, ord_less_eq_complex: complex > complex > $o). 0.99/1.20 thf(decl_302, type, ord_less_eq_int: int > int > $o). 0.99/1.20 thf(decl_303, type, ord_less_eq_nat: nat > nat > $o). 0.99/1.20 thf(decl_304, type, ord_less_eq_real: real > real > $o). 0.99/1.20 thf(decl_305, type, ord_le211207098394363844omplex: set_complex > set_complex > $o). 0.99/1.20 thf(decl_306, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 0.99/1.20 thf(decl_307, type, projec3470689467825365843llapse: mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_308, type, projec1944845285785509306omplex: complex > mat_complex > set_nat). 0.99/1.20 thf(decl_309, type, projec8096995296758946034ices_a: a > mat_a > set_nat). 0.99/1.20 thf(decl_310, type, projec2809893096078145286omplex: mat_complex > set_complex). 0.99/1.20 thf(decl_311, type, projec6785268565095433026omplex: mat_complex > list_complex). 0.99/1.20 thf(decl_312, type, projec5943904436471448624omplex: mat_complex > mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_313, type, projec8360710381328234318ensity: nat > mat_complex). 0.99/1.20 thf(decl_314, type, bra_vec: vec_complex > mat_complex). 0.99/1.20 thf(decl_315, type, inner_prod: vec_complex > vec_complex > complex). 0.99/1.20 thf(decl_316, type, real_V2521375963428798218omplex: set_complex). 0.99/1.20 thf(decl_317, type, real_V470468836141973256s_real: set_real). 0.99/1.20 thf(decl_318, type, real_V4546457046886955230omplex: real > complex). 0.99/1.20 thf(decl_319, type, divide1717551699836669952omplex: complex > complex > complex). 0.99/1.20 thf(decl_320, type, divide_divide_int: int > int > int). 0.99/1.20 thf(decl_321, type, divide_divide_nat: nat > nat > nat). 0.99/1.20 thf(decl_322, type, divide_divide_real: real > real > real). 0.99/1.20 thf(decl_323, type, schur_4574106303853392228omplex: mat_complex > mat_complex). 0.99/1.20 thf(decl_324, type, schur_549222400177443379omplex: mat_complex > $o). 0.99/1.20 thf(decl_325, type, schur_4926430439804805041t_real: mat_real > $o). 0.99/1.20 thf(decl_326, type, schur_4042290226164342457_mat_a: mat_a > $o). 0.99/1.20 thf(decl_327, type, schur_5982229384592763574omplex: mat_complex > mat_complex). 0.99/1.20 thf(decl_328, type, schur_mat_adjoint_a: mat_a > mat_a). 0.99/1.20 thf(decl_329, type, schur_4877263279826286220omplex: vec_complex > vec_complex). 0.99/1.20 thf(decl_330, type, schur_vec_inv_real: vec_real > vec_real). 0.99/1.20 thf(decl_331, type, schur_vec_inv_a: vec_a > vec_a). 0.99/1.20 thf(decl_332, type, collect_complex: (complex > $o) > set_complex). 0.99/1.20 thf(decl_333, type, collect_mat_complex: (mat_complex > $o) > set_mat_complex). 0.99/1.20 thf(decl_334, type, collect_mat_a: (mat_a > $o) > set_mat_a). 0.99/1.20 thf(decl_335, type, collect_vec_complex: (vec_complex > $o) > set_vec_complex). 0.99/1.20 thf(decl_336, type, collect_vec_a: (vec_a > $o) > set_vec_a). 0.99/1.20 thf(decl_337, type, spectr5699176650994449695omplex: mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_338, type, spectr5828033140197310157conj_a: mat_a > mat_a > mat_a). 0.99/1.20 thf(decl_339, type, spectr5409772854192057952omplex: mat_complex > mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_340, type, spectr6340060708231679580omplex: mat_complex > mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_341, type, spectr4825054497075562704quiv_a: mat_a > mat_a > mat_a > $o). 0.99/1.20 thf(decl_342, type, spectr532731689276696518omplex: mat_complex > mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_343, type, spectr4894841263502123494diag_a: mat_a > mat_a > mat_a > $o). 0.99/1.20 thf(decl_344, type, member_complex: complex > set_complex > $o). 0.99/1.20 thf(decl_345, type, member_int: int > set_int > $o). 0.99/1.20 thf(decl_346, type, member_mat_complex: mat_complex > set_mat_complex > $o). 0.99/1.20 thf(decl_347, type, member_mat_int: mat_int > set_mat_int > $o). 0.99/1.20 thf(decl_348, type, member7752848204589936667omplex: mat_mat_complex > set_mat_mat_complex > $o). 0.99/1.20 thf(decl_349, type, member_mat_mat_a: mat_mat_a > set_mat_mat_a > $o). 0.99/1.20 thf(decl_350, type, member2941885283796880015omplex: mat_vec_complex > set_mat_vec_complex > $o). 0.99/1.20 thf(decl_351, type, member_mat_vec_a: mat_vec_a > set_mat_vec_a > $o). 0.99/1.20 thf(decl_352, type, member_mat_nat: mat_nat > set_mat_nat > $o). 0.99/1.20 thf(decl_353, type, member_mat_real: mat_real > set_mat_real > $o). 0.99/1.20 thf(decl_354, type, member_mat_a: mat_a > set_mat_a > $o). 0.99/1.20 thf(decl_355, type, member_vec_complex: vec_complex > set_vec_complex > $o). 0.99/1.20 thf(decl_356, type, member_vec_int: vec_int > set_vec_int > $o). 0.99/1.20 thf(decl_357, type, member_vec_nat: vec_nat > set_vec_nat > $o). 0.99/1.20 thf(decl_358, type, member_vec_real: vec_real > set_vec_real > $o). 0.99/1.20 thf(decl_359, type, member_vec_a: vec_a > set_vec_a > $o). 0.99/1.20 thf(decl_360, type, member_nat: nat > set_nat > $o). 0.99/1.20 thf(decl_361, type, member_real: real > set_real > $o). 0.99/1.20 thf(decl_362, type, member_a: a > set_a > $o). 0.99/1.20 thf(decl_363, type, a2: mat_a). 0.99/1.20 thf(decl_364, type, b: mat_a). 0.99/1.20 thf(decl_365, type, m: nat). 0.99/1.20 thf(decl_366, type, n: nat). 0.99/1.20 thf(decl_367, type, n2: nat). 0.99/1.20 thf(decl_368, type, v: vec_a). 0.99/1.20 thf(decl_369, type, w: vec_a). 0.99/1.20 thf(decl_370, type, epred1_5: nat > nat > nat > nat > mat_a > $o). 0.99/1.20 thf(decl_371, type, epred2_5: nat > mat_complex > nat > nat > nat > $o). 0.99/1.20 thf(decl_372, type, epred3_3: (int > $o) > int > int > $o). 0.99/1.20 thf(decl_373, type, esk1_3: mat_a > nat > mat_a > mat_a). 0.99/1.20 thf(decl_374, type, esk2_3: mat_a > nat > mat_a > mat_a). 0.99/1.20 thf(decl_375, type, esk3_3: mat_complex > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_376, type, esk4_3: mat_complex > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_377, type, esk5_3: mat_a > set_mat_a > set_mat_a > mat_a). 0.99/1.20 thf(decl_378, type, esk6_3: mat_a > set_mat_a > set_mat_a > mat_a). 0.99/1.20 thf(decl_379, type, esk7_3: nat > set_nat > set_nat > nat). 0.99/1.20 thf(decl_380, type, esk8_3: nat > set_nat > set_nat > nat). 0.99/1.20 thf(decl_381, type, esk9_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex). 0.99/1.20 thf(decl_382, type, esk10_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex). 0.99/1.20 thf(decl_383, type, esk11_3: complex > set_complex > set_complex > complex). 0.99/1.20 thf(decl_384, type, esk12_3: complex > set_complex > set_complex > complex). 0.99/1.20 thf(decl_385, type, esk13_3: real > set_real > set_real > real). 0.99/1.20 thf(decl_386, type, esk14_3: real > set_real > set_real > real). 0.99/1.20 thf(decl_387, type, esk15_3: int > set_int > set_int > int). 0.99/1.20 thf(decl_388, type, esk16_3: int > set_int > set_int > int). 0.99/1.20 thf(decl_389, type, esk17_3: mat_a > nat > a > vec_a). 0.99/1.20 thf(decl_390, type, esk18_3: mat_complex > nat > complex > vec_complex). 0.99/1.20 thf(decl_391, type, esk19_2: mat_a > nat > vec_a). 0.99/1.20 thf(decl_392, type, esk20_2: mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_393, type, esk21_2: mat_real > nat > vec_real). 0.99/1.20 thf(decl_394, type, esk22_2: mat_a > nat > vec_a). 0.99/1.20 thf(decl_395, type, esk23_2: mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_396, type, esk24_2: mat_real > nat > vec_real). 0.99/1.20 thf(decl_397, type, esk25_2: mat_int > nat > vec_int). 0.99/1.20 thf(decl_398, type, esk26_2: mat_complex > nat > mat_complex). 0.99/1.20 thf(decl_399, type, esk27_2: mat_complex > nat > mat_complex). 0.99/1.20 thf(decl_400, type, esk28_3: mat_complex > nat > mat_complex > mat_complex). 0.99/1.20 thf(decl_401, type, esk29_1: mat_real > nat). 0.99/1.20 thf(decl_402, type, esk30_1: mat_real > nat). 0.99/1.20 thf(decl_403, type, esk31_1: mat_a > nat). 0.99/1.20 thf(decl_404, type, esk32_1: mat_a > nat). 0.99/1.20 thf(decl_405, type, esk33_1: mat_complex > nat). 0.99/1.20 thf(decl_406, type, esk34_1: mat_complex > nat). 0.99/1.20 thf(decl_407, type, esk35_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_408, type, esk36_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_409, type, esk37_1: mat_a > nat). 0.99/1.20 thf(decl_410, type, esk38_1: mat_a > nat). 0.99/1.20 thf(decl_411, type, esk39_1: mat_nat > nat). 0.99/1.20 thf(decl_412, type, esk40_1: mat_nat > nat). 0.99/1.20 thf(decl_413, type, esk41_1: mat_complex > nat). 0.99/1.20 thf(decl_414, type, esk42_1: mat_complex > nat). 0.99/1.20 thf(decl_415, type, esk43_1: mat_real > nat). 0.99/1.20 thf(decl_416, type, esk44_1: mat_real > nat). 0.99/1.20 thf(decl_417, type, esk45_1: mat_int > nat). 0.99/1.20 thf(decl_418, type, esk46_1: mat_int > nat). 0.99/1.20 thf(decl_419, type, esk47_2: mat_complex > nat > vec_complex). 0.99/1.20 thf(decl_420, type, esk48_3: mat_complex > mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_421, type, esk49_1: product_prod_nat_nat > nat). 0.99/1.20 thf(decl_422, type, esk50_1: product_prod_nat_nat > nat). 0.99/1.20 thf(decl_423, type, esk51_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_424, type, esk52_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_425, type, esk53_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_426, type, esk54_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_427, type, esk55_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_428, type, esk56_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_429, type, esk57_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_430, type, esk58_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_431, type, esk59_1: mat_a > nat). 0.99/1.20 thf(decl_432, type, esk60_1: mat_a > nat). 0.99/1.20 thf(decl_433, type, esk61_1: mat_nat > nat). 0.99/1.20 thf(decl_434, type, esk62_1: mat_nat > nat). 0.99/1.20 thf(decl_435, type, esk63_1: mat_complex > nat). 0.99/1.20 thf(decl_436, type, esk64_1: mat_complex > nat). 0.99/1.20 thf(decl_437, type, esk65_1: mat_real > nat). 0.99/1.20 thf(decl_438, type, esk66_1: mat_real > nat). 0.99/1.20 thf(decl_439, type, esk67_1: mat_int > nat). 0.99/1.20 thf(decl_440, type, esk68_1: mat_int > nat). 0.99/1.20 thf(decl_441, type, esk69_1: mat_a > nat). 0.99/1.20 thf(decl_442, type, esk70_1: mat_a > nat). 0.99/1.20 thf(decl_443, type, esk71_1: mat_nat > nat). 0.99/1.20 thf(decl_444, type, esk72_1: mat_nat > nat). 0.99/1.20 thf(decl_445, type, esk73_1: mat_complex > nat). 0.99/1.20 thf(decl_446, type, esk74_1: mat_complex > nat). 0.99/1.20 thf(decl_447, type, esk75_1: mat_real > nat). 0.99/1.20 thf(decl_448, type, esk76_1: mat_real > nat). 0.99/1.20 thf(decl_449, type, esk77_1: mat_int > nat). 0.99/1.20 thf(decl_450, type, esk78_1: mat_int > nat). 0.99/1.20 thf(decl_451, type, esk79_1: mat_a > nat). 0.99/1.20 thf(decl_452, type, esk80_1: mat_a > nat). 0.99/1.20 thf(decl_453, type, esk81_1: mat_nat > nat). 0.99/1.20 thf(decl_454, type, esk82_1: mat_nat > nat). 0.99/1.20 thf(decl_455, type, esk83_1: mat_complex > nat). 0.99/1.20 thf(decl_456, type, esk84_1: mat_complex > nat). 0.99/1.20 thf(decl_457, type, esk85_1: mat_real > nat). 0.99/1.20 thf(decl_458, type, esk86_1: mat_real > nat). 0.99/1.20 thf(decl_459, type, esk87_1: mat_int > nat). 0.99/1.20 thf(decl_460, type, esk88_1: mat_int > nat). 0.99/1.20 thf(decl_461, type, esk89_1: mat_complex > nat). 0.99/1.20 thf(decl_462, type, esk90_3: mat_complex > mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_463, type, esk91_2: mat_complex > nat > nat). 0.99/1.20 thf(decl_464, type, esk92_2: mat_complex > nat > nat). 0.99/1.20 thf(decl_465, type, esk93_4: nat > nat > set_mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_466, type, esk94_4: nat > nat > set_mat_complex > mat_complex > mat_complex). 0.99/1.20 thf(decl_467, type, esk95_2: mat_a > mat_a > nat). 0.99/1.20 thf(decl_468, type, esk96_2: mat_complex > mat_complex > nat). 0.99/1.20 thf(decl_469, type, esk97_3: mat_a > nat > mat_a > nat). 0.99/1.20 thf(decl_470, type, esk98_3: mat_complex > nat > mat_complex > nat). 0.99/1.20 thf(decl_471, type, esk99_2: mat_a > mat_mat_a > nat). 0.99/1.20 thf(decl_472, type, esk100_2: mat_a > mat_mat_a > nat). 0.99/1.20 thf(decl_473, type, esk101_2: vec_a > mat_vec_a > nat). 0.99/1.20 thf(decl_474, type, esk102_2: vec_a > mat_vec_a > nat). 0.99/1.20 thf(decl_475, type, esk103_2: mat_complex > mat_mat_complex > nat). 0.99/1.20 thf(decl_476, type, esk104_2: mat_complex > mat_mat_complex > nat). 0.99/1.20 thf(decl_477, type, esk105_2: vec_complex > mat_vec_complex > nat). 0.99/1.20 thf(decl_478, type, esk106_2: vec_complex > mat_vec_complex > nat). 0.99/1.20 thf(decl_479, type, esk107_2: a > mat_a > nat). 0.99/1.20 thf(decl_480, type, esk108_2: a > mat_a > nat). 0.99/1.20 thf(decl_481, type, esk109_2: complex > mat_complex > nat). 0.99/1.20 thf(decl_482, type, esk110_2: complex > mat_complex > nat). 0.99/1.20 thf(decl_483, type, esk111_3: mat_a > set_mat_a > set_mat_a > mat_a). 0.99/1.20 thf(decl_484, type, esk112_3: mat_a > set_mat_a > set_mat_a > mat_a). 0.99/1.20 thf(decl_485, type, esk113_3: vec_a > set_vec_a > set_vec_a > vec_a). 0.99/1.20 thf(decl_486, type, esk114_3: vec_a > set_vec_a > set_vec_a > vec_a). 0.99/1.20 thf(decl_487, type, esk115_3: complex > set_complex > set_complex > complex). 0.99/1.20 thf(decl_488, type, esk116_3: complex > set_complex > set_complex > complex). 0.99/1.20 thf(decl_489, type, esk117_3: vec_complex > set_vec_complex > set_vec_complex > vec_complex). 0.99/1.20 thf(decl_490, type, esk118_3: vec_complex > set_vec_complex > set_vec_complex > vec_complex). 0.99/1.20 thf(decl_491, type, esk119_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex). 0.99/1.20 thf(decl_492, type, esk120_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex). 0.99/1.20 thf(decl_493, type, esk121_3: real > set_real > set_real > real). 0.99/1.20 thf(decl_494, type, esk122_3: real > set_real > set_real > real). 0.99/1.20 thf(decl_495, type, esk123_3: nat > set_nat > set_nat > nat). 0.99/1.20 thf(decl_496, type, esk124_3: nat > set_nat > set_nat > nat). 0.99/1.20 thf(decl_497, type, esk125_3: int > set_int > set_int > int). 0.99/1.20 thf(decl_498, type, esk126_3: int > set_int > set_int > int). 0.99/1.20 thf(decl_499, type, esk127_3: (nat > $o) > nat > nat > nat). 0.99/1.20 thf(decl_500, type, esk128_3: (nat > $o) > nat > nat > nat). 0.99/1.20 thf(decl_501, type, esk129_2: real > real > nat). 0.99/1.20 thf(decl_502, type, esk130_2: int > (int > $o) > int). 0.99/1.20 thf(decl_503, type, esk131_2: int > (int > $o) > int). 0.99/1.20 thf(decl_504, type, esk132_4: int > (int > $o) > (int > $o) > int > int). 0.99/1.20 thf(decl_505, type, esk133_3: int > (int > $o) > (int > $o) > int). 0.99/1.20 thf(decl_506, type, esk134_2: int > (int > $o) > int). 0.99/1.20 thf(decl_507, type, esk135_2: int > (int > $o) > int). 0.99/1.20 thf(decl_508, type, esk136_4: int > (int > $o) > (int > $o) > int > int). 0.99/1.20 thf(decl_509, type, esk137_3: int > (int > $o) > (int > $o) > int). 0.99/1.20 thf(decl_510, type, esk138_2: int > (int > $o) > int). 0.99/1.20 thf(decl_511, type, esk139_2: int > (int > $o) > int). 0.99/1.20 thf(decl_512, type, esk140_2: real > real > nat). 0.99/1.20 thf(decl_513, type, esk141_1: mat_complex > nat). 0.99/1.20 thf(decl_514, type, esk142_1: mat_complex > vec_complex). 0.99/1.20 thf(decl_515, type, esk143_3: int > int > (int > $o) > int). 0.99/1.20 thf(decl_516, type, esk144_3: int > int > (int > $o) > int). 0.99/1.20 thf(decl_517, type, esk145_3: int > int > (int > $o) > int). 0.99/1.20 thf(decl_518, type, esk146_3: int > int > (int > $o) > int). 0.99/1.20 thf(decl_519, type, epred4_1: set_mat_a > mat_a > $o). 0.99/1.20 thf(decl_520, type, epred5_1: set_vec_a > vec_a > $o). 0.99/1.20 thf(decl_521, type, epred6_1: set_mat_complex > mat_complex > $o). 0.99/1.20 thf(decl_522, type, epred7_1: set_vec_complex > vec_complex > $o). 0.99/1.20 thf(decl_523, type, epred8_1: set_complex > complex > $o). 0.99/1.20 thf(fact_3_carrier__matD_I1_J, axiom, ![X1:mat_a, X2:nat, X3:nat]:(((member_mat_a @ X1 @ (carrier_mat_a @ X2 @ X3))=>((dim_row_a @ X1)=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.9xI7m13nTW/Vampire---4.8_21856', fact_3_carrier__matD_I1_J)). 0.99/1.20 thf(fact_351_index__transpose__mat_I3_J, axiom, ![X1:mat_a]:(((dim_col_a @ (transpose_mat_a @ X1))=(dim_row_a @ X1))), file('/export/starexec/sandbox2/tmp/tmp.9xI7m13nTW/Vampire---4.8_21856', fact_351_index__transpose__mat_I3_J)). 0.99/1.20 thf(conj_0, conjecture, (member_mat_a @ b @ (carrier_mat_a @ (dim_row_a @ a2) @ n2)), file('/export/starexec/sandbox2/tmp/tmp.9xI7m13nTW/Vampire---4.8_21856', conj_0)). 0.99/1.20 thf(fact_1_assms_I3_J, axiom, (member_mat_a @ a2 @ (carrier_mat_a @ m @ n)), file('/export/starexec/sandbox2/tmp/tmp.9xI7m13nTW/Vampire---4.8_21856', fact_1_assms_I3_J)). 0.99/1.20 thf(fact_2_assms_I4_J, axiom, (member_mat_a @ b @ (carrier_mat_a @ m @ n2)), file('/export/starexec/sandbox2/tmp/tmp.9xI7m13nTW/Vampire---4.8_21856', fact_2_assms_I4_J)). 0.99/1.20 thf(c_0_5, plain, ![X5631:mat_a, X5632:nat, X5633:nat]:((~(member_mat_a @ X5631 @ (carrier_mat_a @ X5632 @ X5633))|((dim_row_a @ X5631)=(X5632)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_carrier__matD_I1_J])])). 0.99/1.20 thf(c_0_6, plain, ![X6764:mat_a]:(((dim_col_a @ (transpose_mat_a @ X6764))=(dim_row_a @ X6764))), inference(variable_rename,[status(thm)],[fact_351_index__transpose__mat_I3_J])). 0.99/1.20 thf(c_0_7, negated_conjecture, ~(member_mat_a @ b @ (carrier_mat_a @ (dim_row_a @ a2) @ n2)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.99/1.20 thf(c_0_8, plain, ![X1:mat_a, X2:nat, X3:nat]:((((dim_row_a @ X1)=(X2))|~((member_mat_a @ X1 @ (carrier_mat_a @ X2 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.99/1.20 thf(c_0_9, plain, ![X1:mat_a]:(((dim_col_a @ (transpose_mat_a @ X1))=(dim_row_a @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.99/1.20 thf(c_0_10, negated_conjecture, ~((member_mat_a @ b @ (carrier_mat_a @ (dim_row_a @ a2) @ n2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.99/1.20 thf(c_0_11, plain, ![X1:mat_a, X2:nat, X3:nat]:((((dim_col_a @ (transpose_mat_a @ X1))=(X2))|~((member_mat_a @ X1 @ (carrier_mat_a @ X2 @ X3))))), inference(rw,[status(thm)],[c_0_8, c_0_9])). 0.99/1.20 thf(c_0_12, plain, (member_mat_a @ a2 @ (carrier_mat_a @ m @ n)), inference(split_conjunct,[status(thm)],[fact_1_assms_I3_J])). 0.99/1.20 thf(c_0_13, negated_conjecture, ~((member_mat_a @ b @ (carrier_mat_a @ (dim_col_a @ (transpose_mat_a @ a2)) @ n2))), inference(rw,[status(thm)],[c_0_10, c_0_9])). 0.99/1.20 thf(c_0_14, plain, ((dim_col_a @ (transpose_mat_a @ a2))=(m)), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.99/1.20 thf(c_0_15, plain, (member_mat_a @ b @ (carrier_mat_a @ m @ n2)), inference(split_conjunct,[status(thm)],[fact_2_assms_I4_J])). 0.99/1.20 thf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), ['proof']). 0.99/1.20 # SZS output end CNFRefutation 0.99/1.20 # Parsed axioms : 1628 0.99/1.20 # Removed by relevancy pruning/SinE : 0 0.99/1.20 # Initial clauses : 2213 0.99/1.20 # Removed in clause preprocessing : 447 0.99/1.20 # Initial clauses in saturation : 1766 0.99/1.20 # Processed clauses : 2314 0.99/1.20 # ...of these trivial : 86 0.99/1.20 # ...subsumed : 204 0.99/1.20 # ...remaining for further processing : 2024 0.99/1.20 # Other redundant clauses eliminated : 263 0.99/1.20 # Clauses deleted for lack of memory : 0 0.99/1.20 # Backward-subsumed : 0 0.99/1.20 # Backward-rewritten : 4 0.99/1.20 # Generated clauses : 1254 0.99/1.20 # ...of the previous two non-redundant : 1043 0.99/1.20 # ...aggressively subsumed : 0 0.99/1.20 # Contextual simplify-reflections : 3 0.99/1.20 # Paramodulations : 1004 0.99/1.20 # Factorizations : 0 0.99/1.20 # NegExts : 0 0.99/1.20 # Equation resolutions : 267 0.99/1.20 # Propositional unsat checks : 0 0.99/1.20 # Propositional check models : 0 0.99/1.20 # Propositional check unsatisfiable : 0 0.99/1.20 # Propositional clauses : 0 0.99/1.20 # Propositional clauses after purity: 0 0.99/1.20 # Propositional unsat core size : 0 0.99/1.20 # Propositional preprocessing time : 0.000 0.99/1.20 # Propositional encoding time : 0.000 0.99/1.20 # Propositional solver time : 0.000 0.99/1.20 # Success case prop preproc time : 0.000 0.99/1.20 # Success case prop encoding time : 0.000 0.99/1.20 # Success case prop solver time : 0.000 0.99/1.20 # Current number of processed clauses : 323 0.99/1.20 # Positive orientable unit clauses : 159 0.99/1.20 # Positive unorientable unit clauses: 0 0.99/1.20 # Negative unit clauses : 85 0.99/1.20 # Non-unit-clauses : 79 0.99/1.20 # Current number of unprocessed clauses: 1924 0.99/1.20 # ...number of literals in the above : 4426 0.99/1.20 # Current number of archived formulas : 0 0.99/1.20 # Current number of archived clauses : 1481 0.99/1.20 # Clause-clause subsumption calls (NU) : 313434 0.99/1.20 # Rec. Clause-clause subsumption calls : 151062 0.99/1.20 # Non-unit clause-clause subsumptions : 162 0.99/1.20 # Unit Clause-clause subsumption calls : 11665 0.99/1.20 # Rewrite failures with RHS unbound : 0 0.99/1.20 # BW rewrite match attempts : 150 0.99/1.20 # BW rewrite match successes : 9 0.99/1.20 # Condensation attempts : 0 0.99/1.20 # Condensation successes : 0 0.99/1.20 # Termbank termtop insertions : 199941 0.99/1.20 0.99/1.20 # ------------------------------------------------- 0.99/1.20 # User time : 0.448 s 0.99/1.20 # System time : 0.029 s 0.99/1.20 # Total time : 0.477 s 0.99/1.20 # Maximum resident set size: 13516 pages 0.99/1.20 0.99/1.20 # ------------------------------------------------- 0.99/1.20 # User time : 0.510 s 0.99/1.20 # System time : 0.034 s 0.99/1.20 # Total time : 0.544 s 0.99/1.20 # Maximum resident set size: 4920 pages 0.99/1.20 EOF