0.11/0.28 % Problem : SLH0445^1 : TPTP v8.2.0. Released v8.2.0. 0.11/0.29 % Command : run_E %s %d THM 0.28/0.50 % Computer : n005.cluster.edu 0.28/0.50 % Model : x86_64 x86_64 0.28/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.50 % Memory : 8042.1875MB 0.28/0.50 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.50 % CPULimit : 30 0.28/0.50 % WCLimit : 30 0.28/0.50 % DateTime : Mon Jul 3 09:23:30 EDT 2023 0.28/0.50 % CPUTime : 0.38/0.62 The problem SPC is TH0_THM_EQU_NAR 0.38/0.63 Running higher-order on 1 cores theorem proving 0.38/0.63 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436 0.38/0.63 # Version: 3.0pre003-ho 19.57/19.80 # partial match(1): HSLMSMSMSSMNSFA 19.57/19.80 # Preprocessing class: HMLMSMSMSSMNSFA. 19.57/19.80 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.57/19.80 # Starting ho_unfolding_3 with 30s (1) cores 19.57/19.80 # ho_unfolding_3 with pid 6616 completed with status 0 19.57/19.80 # Result found by ho_unfolding_3 19.57/19.80 # partial match(1): HSLMSMSMSSMNSFA 19.57/19.80 # Preprocessing class: HMLMSMSMSSMNSFA. 19.57/19.80 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.57/19.80 # Starting ho_unfolding_3 with 30s (1) cores 19.57/19.80 # No SInE strategy applied 19.57/19.80 # Search class: HGHSM-SMLM32-MSFFFFBN 19.57/19.80 # partial match(1): HGHSM-SMLM31-MSFFFFBN 19.57/19.80 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 19.57/19.80 # Starting sh6 with 17s (1) cores 19.57/19.80 # sh6 with pid 6617 completed with status 7 19.57/19.80 # Starting ho_unfolding_3 with 4s (1) cores 19.57/19.80 # ho_unfolding_3 with pid 6626 completed with status 0 19.57/19.80 # Result found by ho_unfolding_3 19.57/19.80 # partial match(1): HSLMSMSMSSMNSFA 19.57/19.80 # Preprocessing class: HMLMSMSMSSMNSFA. 19.57/19.80 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.57/19.80 # Starting ho_unfolding_3 with 30s (1) cores 19.57/19.80 # No SInE strategy applied 19.57/19.80 # Search class: HGHSM-SMLM32-MSFFFFBN 19.57/19.80 # partial match(1): HGHSM-SMLM31-MSFFFFBN 19.57/19.80 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 19.57/19.80 # Starting sh6 with 17s (1) cores 19.57/19.80 # sh6 with pid 6617 completed with status 7 19.57/19.80 # Starting ho_unfolding_3 with 4s (1) cores 19.57/19.80 # Preprocessing time : 0.016 s 19.57/19.80 # Presaturation interreduction done 19.57/19.80 19.57/19.80 # Proof found! 19.57/19.80 # SZS status Theorem 19.57/19.80 # SZS output start CNFRefutation 19.57/19.80 thf(decl_22, type, column2924081423933032910ront_a: mat_a > nat > mat_a). 19.57/19.80 thf(decl_23, type, column973622294476583016ront_a: mat_a > nat > mat_a). 19.57/19.80 thf(decl_24, type, field_5283244131969691238d_real: real > nat). 19.57/19.80 thf(decl_25, type, minus_minus_nat: nat > nat > nat). 19.57/19.80 thf(decl_26, type, one_one_int: int). 19.57/19.80 thf(decl_27, type, one_one_nat: nat). 19.57/19.80 thf(decl_28, type, one_one_real: real). 19.57/19.80 thf(decl_29, type, one_one_a: a). 19.57/19.80 thf(decl_30, type, plus_plus_int: int > int > int). 19.57/19.80 thf(decl_31, type, plus_plus_mat_a: mat_a > mat_a > mat_a). 19.57/19.80 thf(decl_32, type, plus_plus_vec_int: vec_int > vec_int > vec_int). 19.57/19.80 thf(decl_33, type, plus_plus_vec_nat: vec_nat > vec_nat > vec_nat). 19.57/19.80 thf(decl_34, type, plus_plus_vec_real: vec_real > vec_real > vec_real). 19.57/19.80 thf(decl_35, type, plus_plus_vec_a: vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_36, type, plus_plus_nat: nat > nat > nat). 19.57/19.80 thf(decl_37, type, plus_plus_real: real > real > real). 19.57/19.80 thf(decl_38, type, plus_plus_set_int: set_int > set_int > set_int). 19.57/19.80 thf(decl_39, type, plus_plus_set_mat_a: set_mat_a > set_mat_a > set_mat_a). 19.57/19.80 thf(decl_40, type, plus_plus_set_vec_a: set_vec_a > set_vec_a > set_vec_a). 19.57/19.80 thf(decl_41, type, plus_plus_set_nat: set_nat > set_nat > set_nat). 19.57/19.80 thf(decl_42, type, plus_plus_set_real: set_real > set_real > set_real). 19.57/19.80 thf(decl_43, type, plus_p2327523748178379809et_int: set_set_int > set_set_int > set_set_int). 19.57/19.80 thf(decl_44, type, plus_p8188135320652551888_mat_a: set_set_mat_a > set_set_mat_a > set_set_mat_a). 19.57/19.80 thf(decl_45, type, plus_p5225466182533350236_vec_a: set_set_vec_a > set_set_vec_a > set_set_vec_a). 19.57/19.80 thf(decl_46, type, plus_p4817606893110106565et_nat: set_set_nat > set_set_nat > set_set_nat). 19.57/19.80 thf(decl_47, type, plus_p7620395444238123297t_real: set_set_real > set_set_real > set_set_real). 19.57/19.80 thf(decl_48, type, plus_plus_a: a > a > a). 19.57/19.80 thf(decl_49, type, times_times_int: int > int > int). 19.57/19.80 thf(decl_50, type, times_times_mat_a: mat_a > mat_a > mat_a). 19.57/19.80 thf(decl_51, type, times_times_nat: nat > nat > nat). 19.57/19.80 thf(decl_52, type, times_times_real: real > real > real). 19.57/19.80 thf(decl_53, type, times_times_set_int: set_int > set_int > set_int). 19.57/19.80 thf(decl_54, type, times_1230744552615602198_mat_a: set_mat_a > set_mat_a > set_mat_a). 19.57/19.80 thf(decl_55, type, times_times_set_nat: set_nat > set_nat > set_nat). 19.57/19.80 thf(decl_56, type, times_times_set_real: set_real > set_real > set_real). 19.57/19.80 thf(decl_57, type, uminus_uminus_int: int > int). 19.57/19.80 thf(decl_58, type, uminus_uminus_mat_a: mat_a > mat_a). 19.57/19.80 thf(decl_59, type, uminus8989278663012614928c_real: vec_real > vec_real). 19.57/19.80 thf(decl_60, type, uminus_uminus_vec_a: vec_a > vec_a). 19.57/19.80 thf(decl_61, type, uminus_uminus_real: real > real). 19.57/19.80 thf(decl_62, type, uminus1532241313380277803et_int: set_int > set_int). 19.57/19.80 thf(decl_63, type, uminus1296375033039821146_mat_a: set_mat_a > set_mat_a). 19.57/19.80 thf(decl_64, type, uminus2769705506071317478_vec_a: set_vec_a > set_vec_a). 19.57/19.80 thf(decl_65, type, uminus5710092332889474511et_nat: set_nat > set_nat). 19.57/19.80 thf(decl_66, type, uminus612125837232591019t_real: set_real > set_real). 19.57/19.80 thf(decl_67, type, uminus_uminus_a: a > a). 19.57/19.80 thf(decl_68, type, zero_zero_int: int). 19.57/19.80 thf(decl_69, type, zero_zero_nat: nat). 19.57/19.80 thf(decl_70, type, zero_zero_real: real). 19.57/19.80 thf(decl_71, type, zero_zero_set_int: set_int). 19.57/19.80 thf(decl_72, type, zero_zero_set_nat: set_nat). 19.57/19.80 thf(decl_73, type, zero_zero_set_real: set_real). 19.57/19.80 thf(decl_74, type, zero_zero_a: a). 19.57/19.80 thf(decl_75, type, if_nat: $o > nat > nat > nat). 19.57/19.80 thf(decl_76, type, log_log_ceiling: int > int > nat). 19.57/19.80 thf(decl_77, type, log_log_floor: int > int > nat). 19.57/19.80 thf(decl_78, type, append_rows_a: mat_a > mat_a > mat_a). 19.57/19.80 thf(decl_79, type, append_vec_int: vec_int > vec_int > vec_int). 19.57/19.80 thf(decl_80, type, append_vec_nat: vec_nat > vec_nat > vec_nat). 19.57/19.80 thf(decl_81, type, append_vec_real: vec_real > vec_real > vec_real). 19.57/19.80 thf(decl_82, type, append_vec_a: vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_83, type, carrier_mat_int: nat > nat > set_mat_int). 19.57/19.80 thf(decl_84, type, carrier_mat_nat: nat > nat > set_mat_nat). 19.57/19.80 thf(decl_85, type, carrier_mat_real: nat > nat > set_mat_real). 19.57/19.80 thf(decl_86, type, carrier_mat_a: nat > nat > set_mat_a). 19.57/19.80 thf(decl_87, type, carrier_vec_int: nat > set_vec_int). 19.57/19.80 thf(decl_88, type, carrier_vec_nat: nat > set_vec_nat). 19.57/19.80 thf(decl_89, type, carrier_vec_real: nat > set_vec_real). 19.57/19.80 thf(decl_90, type, carrier_vec_a: nat > set_vec_a). 19.57/19.80 thf(decl_91, type, four_block_mat_a: mat_a > mat_a > mat_a > mat_a > mat_a). 19.57/19.80 thf(decl_92, type, mat_of_row_a: vec_a > mat_a). 19.57/19.80 thf(decl_93, type, mult_mat_vec_int: mat_int > vec_int > vec_int). 19.57/19.80 thf(decl_94, type, mult_mat_vec_nat: mat_nat > vec_nat > vec_nat). 19.57/19.80 thf(decl_95, type, mult_mat_vec_real: mat_real > vec_real > vec_real). 19.57/19.80 thf(decl_96, type, mult_mat_vec_a: mat_a > vec_a > vec_a). 19.57/19.80 thf(decl_97, type, one_mat_a: nat > mat_a). 19.57/19.80 thf(decl_98, type, scalar_prod_int: vec_int > vec_int > int). 19.57/19.80 thf(decl_99, type, scalar_prod_nat: vec_nat > vec_nat > nat). 19.57/19.80 thf(decl_100, type, scalar_prod_real: vec_real > vec_real > real). 19.57/19.80 thf(decl_101, type, scalar_prod_a: vec_a > vec_a > a). 19.57/19.80 thf(decl_102, type, transpose_mat_int: mat_int > mat_int). 19.57/19.80 thf(decl_103, type, transpose_mat_nat: mat_nat > mat_nat). 19.57/19.80 thf(decl_104, type, transpose_mat_real: mat_real > mat_real). 19.57/19.80 thf(decl_105, type, transpose_mat_a: mat_a > mat_a). 19.57/19.80 thf(decl_106, type, zero_mat_a: nat > nat > mat_a). 19.57/19.80 thf(decl_107, type, zero_vec_int: nat > vec_int). 19.57/19.80 thf(decl_108, type, zero_vec_nat: nat > vec_nat). 19.57/19.80 thf(decl_109, type, zero_vec_real: nat > vec_real). 19.57/19.80 thf(decl_110, type, zero_vec_a: nat > vec_a). 19.57/19.80 thf(decl_111, type, matrix_unpadl_a: nat > vec_a > vec_a). 19.57/19.80 thf(decl_112, type, matrix_unpadr_a: nat > vec_a > vec_a). 19.57/19.80 thf(decl_113, type, missin386308114684349109cols_a: mat_a > mat_a > mat_a). 19.57/19.80 thf(decl_114, type, missing_mat_of_col_a: vec_a > mat_a). 19.57/19.80 thf(decl_115, type, semiri1314217659103216013at_int: nat > int). 19.57/19.80 thf(decl_116, type, semiri5074537144036343181t_real: nat > real). 19.57/19.80 thf(decl_117, type, linf_norm_vec_int: vec_int > int). 19.57/19.80 thf(decl_118, type, linf_norm_vec_real: vec_real > real). 19.57/19.80 thf(decl_119, type, linf_norm_vec_a: vec_a > a). 19.57/19.80 thf(decl_120, type, norm1_int: poly_int > int). 19.57/19.80 thf(decl_121, type, norm1_real: poly_real > real). 19.57/19.80 thf(decl_122, type, nthRoo639708562588418237or_pos: nat > int > int). 19.57/19.80 thf(decl_123, type, nthRoo6934912836838700453_floor: nat > nat > int). 19.57/19.80 thf(decl_124, type, nthRoot_start_value: int > nat > int). 19.57/19.80 thf(decl_125, type, neg_nu3811975205180677377ec_int: int > int). 19.57/19.80 thf(decl_126, type, neg_nu6075765906172075777c_real: real > real). 19.57/19.80 thf(decl_127, type, neg_nu5851722552734809277nc_int: int > int). 19.57/19.80 thf(decl_128, type, neg_nu8295874005876285629c_real: real > real). 19.57/19.80 thf(decl_129, type, ord_less_int: int > int > $o). 19.57/19.80 thf(decl_130, type, ord_less_vec_a: vec_a > vec_a > $o). 19.57/19.80 thf(decl_131, type, ord_less_nat: nat > nat > $o). 19.57/19.80 thf(decl_132, type, ord_less_real: real > real > $o). 19.57/19.80 thf(decl_133, type, ord_less_a: a > a > $o). 19.57/19.80 thf(decl_134, type, ord_less_eq_int: int > int > $o). 19.57/19.80 thf(decl_135, type, ord_less_eq_vec_int: vec_int > vec_int > $o). 19.57/19.80 thf(decl_136, type, ord_less_eq_vec_nat: vec_nat > vec_nat > $o). 19.57/19.80 thf(decl_137, type, ord_less_eq_vec_real: vec_real > vec_real > $o). 19.57/19.80 thf(decl_138, type, ord_less_eq_vec_a: vec_a > vec_a > $o). 19.57/19.80 thf(decl_139, type, ord_less_eq_nat: nat > nat > $o). 19.57/19.80 thf(decl_140, type, ord_less_eq_real: real > real > $o). 19.57/19.80 thf(decl_141, type, ord_less_eq_set_int: set_int > set_int > $o). 19.57/19.80 thf(decl_142, type, ord_le3318621148231462513_mat_a: set_mat_a > set_mat_a > $o). 19.57/19.80 thf(decl_143, type, ord_le4791951621262958845_vec_a: set_vec_a > set_vec_a > $o). 19.57/19.80 thf(decl_144, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 19.57/19.80 thf(decl_145, type, ord_less_eq_set_real: set_real > set_real > $o). 19.57/19.80 thf(decl_146, type, ord_less_eq_a: a > a > $o). 19.57/19.80 thf(decl_147, type, ord_max_nat: nat > nat > nat). 19.57/19.80 thf(decl_148, type, power_power_int: int > nat > int). 19.57/19.80 thf(decl_149, type, power_power_nat: nat > nat > nat). 19.57/19.80 thf(decl_150, type, power_power_real: real > nat > real). 19.57/19.80 thf(decl_151, type, schur_vec_inv_real: vec_real > vec_real). 19.57/19.80 thf(decl_152, type, schur_vec_inv_a: vec_a > vec_a). 19.57/19.80 thf(decl_153, type, collect_int: (int > $o) > set_int). 19.57/19.80 thf(decl_154, type, collect_mat_a: (mat_a > $o) > set_mat_a). 19.57/19.80 thf(decl_155, type, collect_vec_a: (vec_a > $o) > set_vec_a). 19.57/19.80 thf(decl_156, type, collect_nat: (nat > $o) > set_nat). 19.57/19.80 thf(decl_157, type, collect_real: (real > $o) > set_real). 19.57/19.80 thf(decl_158, type, member_int: int > set_int > $o). 19.57/19.80 thf(decl_159, type, member_mat_int: mat_int > set_mat_int > $o). 19.57/19.80 thf(decl_160, type, member_mat_nat: mat_nat > set_mat_nat > $o). 19.57/19.80 thf(decl_161, type, member_mat_real: mat_real > set_mat_real > $o). 19.57/19.80 thf(decl_162, type, member_mat_a: mat_a > set_mat_a > $o). 19.57/19.80 thf(decl_163, type, member_vec_int: vec_int > set_vec_int > $o). 19.57/19.80 thf(decl_164, type, member_vec_nat: vec_nat > set_vec_nat > $o). 19.57/19.80 thf(decl_165, type, member_vec_real: vec_real > set_vec_real > $o). 19.57/19.80 thf(decl_166, type, member_vec_a: vec_a > set_vec_a > $o). 19.57/19.80 thf(decl_167, type, member_nat: nat > set_nat > $o). 19.57/19.80 thf(decl_168, type, member_real: real > set_real > $o). 19.57/19.80 thf(decl_169, type, member_set_int: set_int > set_set_int > $o). 19.57/19.80 thf(decl_170, type, member_set_mat_a: set_mat_a > set_set_mat_a > $o). 19.57/19.80 thf(decl_171, type, member_set_vec_a: set_vec_a > set_set_vec_a > $o). 19.57/19.80 thf(decl_172, type, member_set_nat: set_nat > set_set_nat > $o). 19.57/19.80 thf(decl_173, type, member_set_real: set_real > set_set_real > $o). 19.57/19.80 thf(decl_174, type, a2: mat_a). 19.57/19.80 thf(decl_175, type, m: mat_a). 19.57/19.80 thf(decl_176, type, m_last: mat_a). 19.57/19.80 thf(decl_177, type, m_low: mat_a). 19.57/19.80 thf(decl_178, type, m_up: mat_a). 19.57/19.80 thf(decl_179, type, b: vec_a). 19.57/19.80 thf(decl_180, type, bc: vec_a). 19.57/19.80 thf(decl_181, type, c: vec_a). 19.57/19.80 thf(decl_182, type, nc: nat). 19.57/19.80 thf(decl_183, type, nr: nat). 19.57/19.80 thf(decl_184, type, esk1_3: set_vec_a > set_set_vec_a > set_set_vec_a > set_vec_a). 19.57/19.80 thf(decl_185, type, esk2_3: set_vec_a > set_set_vec_a > set_set_vec_a > set_vec_a). 19.57/19.80 thf(decl_186, type, esk3_3: set_mat_a > set_set_mat_a > set_set_mat_a > set_mat_a). 19.57/19.80 thf(decl_187, type, esk4_3: set_mat_a > set_set_mat_a > set_set_mat_a > set_mat_a). 19.57/19.80 thf(decl_188, type, esk5_3: set_real > set_set_real > set_set_real > set_real). 19.57/19.80 thf(decl_189, type, esk6_3: set_real > set_set_real > set_set_real > set_real). 19.57/19.80 thf(decl_190, type, esk7_3: set_nat > set_set_nat > set_set_nat > set_nat). 19.57/19.80 thf(decl_191, type, esk8_3: set_nat > set_set_nat > set_set_nat > set_nat). 19.57/19.80 thf(decl_192, type, esk9_3: set_int > set_set_int > set_set_int > set_int). 19.57/19.80 thf(decl_193, type, esk10_3: set_int > set_set_int > set_set_int > set_int). 19.57/19.80 thf(decl_194, type, esk11_3: vec_a > set_vec_a > set_vec_a > vec_a). 19.57/19.80 thf(decl_195, type, esk12_3: vec_a > set_vec_a > set_vec_a > vec_a). 19.57/19.80 thf(decl_196, type, esk13_3: mat_a > set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_197, type, esk14_3: mat_a > set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_198, type, esk15_3: real > set_real > set_real > real). 19.57/19.80 thf(decl_199, type, esk16_3: real > set_real > set_real > real). 19.57/19.80 thf(decl_200, type, esk17_3: nat > set_nat > set_nat > nat). 19.57/19.80 thf(decl_201, type, esk18_3: nat > set_nat > set_nat > nat). 19.57/19.80 thf(decl_202, type, esk19_3: int > set_int > set_int > int). 19.57/19.80 thf(decl_203, type, esk20_3: int > set_int > set_int > int). 19.57/19.80 thf(decl_204, type, esk21_0: vec_a). 19.57/19.80 thf(decl_205, type, esk22_3: mat_a > nat > nat > mat_a). 19.57/19.80 thf(decl_206, type, esk23_2: nat > nat > nat). 19.57/19.80 thf(decl_207, type, esk24_2: nat > nat > nat). 19.57/19.80 thf(decl_208, type, esk25_0: vec_a). 19.57/19.80 thf(decl_209, type, esk26_2: vec_a > nat > vec_a). 19.57/19.80 thf(decl_210, type, esk27_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_211, type, esk28_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_212, type, esk29_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_213, type, esk30_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_214, type, esk31_1: (real > real > $o) > real). 19.57/19.80 thf(decl_215, type, esk32_1: (real > real > $o) > real). 19.57/19.80 thf(decl_216, type, esk33_1: (real > real > $o) > real). 19.57/19.80 thf(decl_217, type, esk34_1: (real > real > $o) > real). 19.57/19.80 thf(decl_218, type, esk35_1: (int > int > $o) > int). 19.57/19.80 thf(decl_219, type, esk36_1: (int > int > $o) > int). 19.57/19.80 thf(decl_220, type, esk37_1: (int > int > $o) > int). 19.57/19.80 thf(decl_221, type, esk38_1: (int > int > $o) > int). 19.57/19.80 thf(decl_222, type, esk39_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_223, type, esk40_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_224, type, esk41_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_225, type, esk42_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_226, type, esk43_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_227, type, esk44_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_228, type, esk45_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_229, type, esk46_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_230, type, esk47_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_231, type, esk48_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_232, type, esk49_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_233, type, esk50_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_234, type, esk51_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_235, type, esk52_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_236, type, esk53_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_237, type, esk54_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_238, type, esk55_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_239, type, esk56_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_240, type, esk57_4: vec_a > (nat > vec_a) > nat > nat > nat). 19.57/19.80 thf(decl_241, type, esk58_4: vec_a > (nat > vec_a) > nat > nat > nat). 19.57/19.80 thf(decl_242, type, esk59_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_243, type, esk60_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_244, type, esk61_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_245, type, esk62_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_246, type, esk63_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_247, type, esk64_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_248, type, esk65_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_249, type, esk66_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_250, type, esk67_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_251, type, esk68_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_252, type, esk69_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_253, type, esk70_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_254, type, esk71_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_255, type, esk72_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_256, type, esk73_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_257, type, esk74_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_258, type, esk75_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_259, type, esk76_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_260, type, esk77_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_261, type, esk78_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_262, type, esk79_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_263, type, esk80_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_264, type, esk81_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_265, type, esk82_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_266, type, esk83_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_267, type, esk84_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_268, type, esk85_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_269, type, esk86_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_270, type, esk87_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_271, type, esk88_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_272, type, esk89_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_273, type, esk90_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_274, type, esk91_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_275, type, esk92_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_276, type, esk93_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_277, type, esk94_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_278, type, esk95_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_279, type, esk96_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_280, type, esk97_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_281, type, esk98_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_282, type, esk99_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_283, type, esk100_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_284, type, esk101_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_285, type, esk102_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_286, type, esk103_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_287, type, esk104_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_288, type, esk105_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_289, type, esk106_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_290, type, esk107_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_291, type, esk108_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_292, type, esk109_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_293, type, esk110_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_294, type, esk111_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_295, type, esk112_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_296, type, esk113_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_297, type, esk114_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_298, type, esk115_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_299, type, esk116_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_300, type, esk117_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_301, type, esk118_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_302, type, esk119_5: mat_real > nat > nat > vec_real > vec_real > real). 19.57/19.80 thf(decl_303, type, esk120_5: mat_int > nat > nat > vec_int > vec_int > int). 19.57/19.80 thf(decl_304, type, esk121_5: mat_a > nat > nat > vec_a > vec_a > a). 19.57/19.80 thf(decl_305, type, esk122_5: mat_real > nat > nat > vec_real > vec_real > real). 19.57/19.80 thf(decl_306, type, esk123_5: mat_int > nat > nat > vec_int > vec_int > int). 19.57/19.80 thf(decl_307, type, esk124_5: mat_a > nat > nat > vec_a > vec_a > a). 19.57/19.80 thf(decl_308, type, esk125_2: (nat > $o) > nat > nat). 19.57/19.80 thf(decl_309, type, esk126_1: (nat > $o) > nat). 19.57/19.80 thf(decl_310, type, esk127_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_311, type, esk128_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_312, type, esk129_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_313, type, esk130_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_314, type, esk131_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_315, type, esk132_3: nat > nat > (vec_a > $o) > vec_a). 19.57/19.80 thf(decl_316, type, esk133_2: nat > nat > nat). 19.57/19.80 thf(decl_317, type, esk134_2: nat > nat > nat). 19.57/19.80 thf(decl_318, type, esk135_2: set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_319, type, esk136_2: set_vec_a > set_vec_a > vec_a). 19.57/19.80 thf(decl_320, type, esk137_2: set_int > set_int > int). 19.57/19.80 thf(decl_321, type, esk138_2: set_real > set_real > real). 19.57/19.80 thf(decl_322, type, esk139_2: set_nat > set_nat > nat). 19.57/19.80 thf(decl_323, type, esk140_4: mat_real > nat > nat > vec_real > vec_real). 19.57/19.80 thf(decl_324, type, esk141_4: mat_real > nat > nat > vec_real > vec_real). 19.57/19.80 thf(decl_325, type, esk142_4: mat_a > nat > nat > vec_a > vec_a). 19.57/19.80 thf(decl_326, type, esk143_4: mat_a > nat > nat > vec_a > vec_a). 19.57/19.80 thf(decl_327, type, esk144_4: mat_real > nat > nat > vec_real > vec_real). 19.57/19.80 thf(decl_328, type, esk145_4: mat_real > nat > nat > vec_real > vec_real). 19.57/19.80 thf(decl_329, type, esk146_4: mat_a > nat > nat > vec_a > vec_a). 19.57/19.80 thf(decl_330, type, esk147_4: mat_a > nat > nat > vec_a > vec_a). 19.57/19.80 thf(decl_331, type, esk148_3: mat_a > set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_332, type, esk149_3: mat_a > set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_333, type, esk150_3: nat > set_nat > set_nat > nat). 19.57/19.80 thf(decl_334, type, esk151_3: nat > set_nat > set_nat > nat). 19.57/19.80 thf(decl_335, type, esk152_3: real > set_real > set_real > real). 19.57/19.80 thf(decl_336, type, esk153_3: real > set_real > set_real > real). 19.57/19.80 thf(decl_337, type, esk154_3: int > set_int > set_int > int). 19.57/19.80 thf(decl_338, type, esk155_3: int > set_int > set_int > int). 19.57/19.80 thf(decl_339, type, esk156_2: set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_340, type, esk157_2: set_vec_a > set_vec_a > vec_a). 19.57/19.80 thf(decl_341, type, esk158_2: set_int > set_int > int). 19.57/19.80 thf(decl_342, type, esk159_2: set_real > set_real > real). 19.57/19.80 thf(decl_343, type, esk160_2: set_nat > set_nat > nat). 19.57/19.80 thf(decl_344, type, esk161_2: set_mat_a > set_mat_a > mat_a). 19.57/19.80 thf(decl_345, type, esk162_2: set_vec_a > set_vec_a > vec_a). 19.57/19.80 thf(decl_346, type, esk163_2: set_int > set_int > int). 19.57/19.80 thf(decl_347, type, esk164_2: set_real > set_real > real). 19.57/19.80 thf(decl_348, type, esk165_2: set_nat > set_nat > nat). 19.57/19.80 thf(decl_349, type, esk166_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_350, type, esk167_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_351, type, esk168_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_352, type, esk169_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_353, type, esk170_1: (nat > nat > $o) > nat). 19.57/19.80 thf(decl_354, type, esk171_1: (nat > $o) > nat). 19.57/19.80 thf(decl_355, type, esk172_2: real > real > real). 19.57/19.80 thf(decl_356, type, esk173_2: real > real > real). 19.57/19.80 thf(decl_357, type, esk174_3: real > real > real > real). 19.57/19.80 thf(decl_358, type, esk175_3: real > real > real > real). 19.57/19.80 thf(decl_359, type, esk176_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_360, type, esk177_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_361, type, esk178_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_362, type, esk179_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_363, type, esk180_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_364, type, esk181_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_365, type, esk182_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_366, type, esk183_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_367, type, esk184_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_368, type, esk185_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_369, type, esk186_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_370, type, esk187_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_371, type, esk188_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_372, type, esk189_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_373, type, esk190_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_374, type, esk191_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_375, type, esk192_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_376, type, esk193_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_377, type, esk194_4: vec_a > (nat > vec_a) > nat > nat > nat). 19.57/19.80 thf(decl_378, type, esk195_4: vec_a > (nat > vec_a) > nat > nat > nat). 19.57/19.80 thf(decl_379, type, esk196_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_380, type, esk197_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_381, type, esk198_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_382, type, esk199_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_383, type, esk200_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_384, type, esk201_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_385, type, esk202_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_386, type, esk203_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_387, type, esk204_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_388, type, esk205_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_389, type, esk206_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_390, type, esk207_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_391, type, esk208_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_392, type, esk209_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_393, type, esk210_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_394, type, esk211_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_395, type, esk212_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_396, type, esk213_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_397, type, esk214_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_398, type, esk215_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a). 19.57/19.80 thf(decl_399, type, esk216_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_400, type, esk217_4: nat > (nat > nat) > nat > nat > nat). 19.57/19.80 thf(decl_401, type, esk218_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_402, type, esk219_4: real > (nat > real) > nat > nat > nat). 19.57/19.80 thf(decl_403, type, esk220_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_404, type, esk221_4: int > (nat > int) > nat > nat > nat). 19.57/19.80 thf(decl_405, type, esk222_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_406, type, esk223_4: nat > (real > nat) > real > real > real). 19.57/19.80 thf(decl_407, type, esk224_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_408, type, esk225_4: real > (real > real) > real > real > real). 19.57/19.80 thf(decl_409, type, esk226_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_410, type, esk227_4: int > (real > int) > real > real > real). 19.57/19.80 thf(decl_411, type, esk228_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_412, type, esk229_4: nat > (int > nat) > int > int > int). 19.57/19.80 thf(decl_413, type, esk230_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_414, type, esk231_4: real > (int > real) > int > int > int). 19.57/19.80 thf(decl_415, type, esk232_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_416, type, esk233_4: int > (int > int) > int > int > int). 19.57/19.80 thf(decl_417, type, esk234_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_418, type, esk235_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_419, type, esk236_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_420, type, esk237_4: nat > nat > (nat > nat) > nat > nat). 19.57/19.80 thf(decl_421, type, esk238_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_422, type, esk239_4: real > real > (real > nat) > nat > real). 19.57/19.80 thf(decl_423, type, esk240_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_424, type, esk241_4: int > int > (int > nat) > nat > int). 19.57/19.80 thf(decl_425, type, esk242_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_426, type, esk243_4: nat > nat > (nat > real) > real > nat). 19.57/19.80 thf(decl_427, type, esk244_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_428, type, esk245_4: real > real > (real > real) > real > real). 19.57/19.80 thf(decl_429, type, esk246_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_430, type, esk247_4: int > int > (int > real) > real > int). 19.57/19.80 thf(decl_431, type, esk248_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_432, type, esk249_4: nat > nat > (nat > int) > int > nat). 19.57/19.80 thf(decl_433, type, esk250_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_434, type, esk251_4: real > real > (real > int) > int > real). 19.57/19.80 thf(decl_435, type, esk252_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_436, type, esk253_4: int > int > (int > int) > int > int). 19.57/19.80 thf(decl_437, type, esk254_4: nat > nat > (nat > vec_a) > vec_a > nat). 19.57/19.80 thf(decl_438, type, esk255_4: nat > nat > (nat > vec_a) > vec_a > nat). 19.57/19.80 thf(decl_439, type, esk256_1: real > real). 19.57/19.80 thf(decl_440, type, esk257_1: int > int). 19.57/19.80 thf(decl_441, type, esk258_1: nat > nat). 19.57/19.80 thf(decl_442, type, esk259_1: real > real). 19.57/19.80 thf(decl_443, type, esk260_1: int > int). 19.57/19.80 thf(decl_444, type, esk261_2: real > real > real). 19.57/19.80 thf(decl_445, type, esk262_1: (nat > $o) > nat). 19.57/19.80 thf(decl_446, type, esk263_1: (nat > nat) > nat). 19.57/19.80 thf(decl_447, type, esk264_1: (nat > nat) > nat). 19.57/19.80 thf(decl_448, type, esk265_2: (nat > $o) > nat > nat). 19.57/19.80 thf(decl_449, type, esk266_2: nat > nat > nat). 19.57/19.80 thf(decl_450, type, esk267_1: (nat > nat) > nat). 19.57/19.80 thf(decl_451, type, esk268_1: (nat > nat) > nat). 19.57/19.80 thf(decl_452, type, esk269_1: (nat > $o) > nat). 19.57/19.80 thf(decl_453, type, esk270_1: (nat > $o) > nat). 19.57/19.80 thf(decl_454, type, esk271_2: (nat > $o) > nat > nat). 19.57/19.80 thf(decl_455, type, esk272_1: (nat > $o) > nat). 19.57/19.80 thf(decl_456, type, esk273_2: nat > (nat > nat > $o) > nat). 19.57/19.80 thf(decl_457, type, esk274_2: nat > (nat > nat > $o) > nat). 19.57/19.80 thf(decl_458, type, esk275_3: nat > (nat > nat > $o) > nat > nat). 19.57/19.80 thf(decl_459, type, esk276_2: nat > (nat > $o) > nat). 19.57/19.80 thf(decl_460, type, esk277_2: nat > (nat > $o) > nat). 19.57/19.80 thf(decl_461, type, esk278_2: nat > real > real). 19.57/19.80 thf(decl_462, type, esk279_2: nat > real > real). 19.57/19.80 thf(decl_463, type, esk280_2: real > real > nat). 19.57/19.80 thf(decl_464, type, esk281_2: real > real > nat). 19.57/19.80 thf(decl_465, type, esk282_2: real > real > nat). 19.57/19.80 thf(decl_466, type, esk283_1: int > nat). 19.57/19.80 thf(decl_467, type, esk284_1: int > nat). 19.57/19.80 thf(decl_468, type, esk285_1: int > nat). 19.57/19.80 thf(decl_469, type, esk286_1: int > nat). 19.57/19.80 thf(decl_470, type, esk287_1: int > nat). 19.57/19.80 thf(decl_471, type, esk288_1: int > nat). 19.57/19.80 thf(decl_472, type, esk289_1: int > nat). 19.57/19.80 thf(decl_473, type, esk290_1: int > nat). 19.57/19.80 thf(decl_474, type, esk291_1: int > nat). 19.57/19.80 thf(decl_475, type, esk292_1: int > nat). 19.57/19.80 thf(decl_476, type, esk293_1: int > nat). 19.57/19.80 thf(decl_477, type, esk294_1: int > nat). 19.57/19.80 thf(decl_478, type, esk295_2: int > (int > $o) > int). 19.57/19.80 thf(decl_479, type, epred1_1: set_mat_a > mat_a > $o). 19.57/19.80 thf(decl_480, type, epred2_1: set_vec_a > vec_a > $o). 19.57/19.80 thf(decl_481, type, epred3_1: set_int > int > $o). 19.57/19.80 thf(decl_482, type, epred4_1: set_real > real > $o). 19.57/19.80 thf(decl_483, type, epred5_1: set_nat > nat > $o). 19.57/19.80 thf(decl_484, type, esk296_1: vec_a > vec_a). 19.57/19.80 thf(decl_485, type, esk297_1: mat_a > mat_a). 19.57/19.80 thf(decl_486, type, esk298_1: mat_a > mat_a). 19.57/19.80 thf(decl_487, type, esk299_1: real > real). 19.57/19.80 thf(decl_488, type, esk300_1: int > nat). 19.57/19.80 thf(decl_489, type, esk301_1: int > int). 19.57/19.80 thf(decl_490, type, esk302_2: nat > nat > nat). 19.57/19.80 thf(decl_491, type, esk303_2: nat > nat > nat). 19.57/19.80 thf(decl_492, type, esk304_2: real > real > real). 19.57/19.80 thf(decl_493, type, esk305_2: real > real > real). 19.57/19.80 thf(decl_494, type, esk306_2: int > int > int). 19.57/19.80 thf(decl_495, type, esk307_2: int > int > int). 19.57/19.80 thf(decl_496, type, esk308_2: set_vec_a > vec_a > vec_a). 19.57/19.80 thf(decl_497, type, esk309_1: set_real > real). 19.57/19.80 thf(decl_498, type, esk310_2: set_real > real > real). 19.57/19.80 thf(decl_499, type, esk311_2: set_nat > nat > nat). 19.57/19.80 thf(decl_500, type, esk312_1: set_int > int). 19.57/19.80 thf(decl_501, type, esk313_2: set_int > int > int). 19.57/19.80 thf(decl_502, type, esk314_1: set_vec_a > vec_a). 19.57/19.80 thf(decl_503, type, esk315_1: set_real > real). 19.57/19.80 thf(decl_504, type, esk316_1: set_real > real). 19.57/19.80 thf(decl_505, type, esk317_1: set_int > int). 19.57/19.80 thf(decl_506, type, esk318_1: set_int > int). 19.57/19.80 thf(fact_224_transpose__uminus, axiom, ![X480:mat_a]:(((transpose_mat_a @ (uminus_uminus_mat_a @ X480))=(uminus_uminus_mat_a @ (transpose_mat_a @ X480)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_224_transpose__uminus)). 19.57/19.80 thf(fact_207_transpose__mat__eq, axiom, ![X451:mat_a, X452:mat_a]:((((transpose_mat_a @ X451)=(transpose_mat_a @ X452))<=>((X451)=(X452)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_207_transpose__mat__eq)). 19.57/19.80 thf(fact_214_uminus__eq__mat, axiom, ![X474:mat_a, X475:mat_a]:((((uminus_uminus_mat_a @ X474)=(uminus_uminus_mat_a @ X475))<=>((X474)=(X475)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_214_uminus__eq__mat)). 19.57/19.80 thf(conj_0, conjecture, (member_mat_a @ m_low @ (carrier_mat_a @ (plus_plus_nat @ nc @ nc) @ (plus_plus_nat @ nc @ nr))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', conj_0)). 19.57/19.80 thf(fact_205_M__low__def, axiom, ((m_low)=(four_block_mat_a @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ a2) @ (zero_mat_a @ nc @ nc) @ (uminus_uminus_mat_a @ (transpose_mat_a @ a2)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_205_M__low__def)). 19.57/19.80 thf(fact_206_Matrix_Otranspose__transpose, axiom, ![X450:mat_a]:(((transpose_mat_a @ (transpose_mat_a @ X450))=(X450))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_206_Matrix_Otranspose__transpose)). 19.57/19.80 thf(fact_213_uminus__uminus__mat, axiom, ![X473:mat_a]:(((uminus_uminus_mat_a @ (uminus_uminus_mat_a @ X473))=(X473))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_213_uminus__uminus__mat)). 19.57/19.80 thf(fact_216_uminus__carrier__iff__mat, axiom, ![X477:mat_a, X253:nat, X254:nat]:(((member_mat_a @ (uminus_uminus_mat_a @ X477) @ (carrier_mat_a @ X253 @ X254))<=>(member_mat_a @ X477 @ (carrier_mat_a @ X253 @ X254)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_216_uminus__carrier__iff__mat)). 19.57/19.80 thf(fact_215_transpose__carrier__mat, axiom, ![X476:mat_a, X254:nat, X253:nat]:(((member_mat_a @ (transpose_mat_a @ X476) @ (carrier_mat_a @ X254 @ X253))<=>(member_mat_a @ X476 @ (carrier_mat_a @ X253 @ X254)))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_215_transpose__carrier__mat)). 19.57/19.80 thf(fact_193_four__block__carrier__mat, axiom, ![X437:mat_a, X318:nat, X319:nat, X438:mat_a, X321:nat, X320:nat, X439:mat_a, X440:mat_a]:(((member_mat_a @ X437 @ (carrier_mat_a @ X318 @ X319))=>((member_mat_a @ X438 @ (carrier_mat_a @ X321 @ X320))=>(member_mat_a @ (four_block_mat_a @ X437 @ X439 @ X440 @ X438) @ (carrier_mat_a @ (plus_plus_nat @ X318 @ X321) @ (plus_plus_nat @ X319 @ X320)))))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_193_four__block__carrier__mat)). 19.57/19.80 thf(fact_150_zero__carrier__mat, axiom, ![X253:nat, X254:nat]:((member_mat_a @ (zero_mat_a @ X253 @ X254) @ (carrier_mat_a @ X253 @ X254))), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_150_zero__carrier__mat)). 19.57/19.80 thf(fact_0_A, axiom, (member_mat_a @ a2 @ (carrier_mat_a @ nr @ nc)), file('/export/starexec/sandbox/tmp/tmp.ZdBMC7IEL0/Vampire---4.8_6436', fact_0_A)). 19.57/19.80 thf(c_0_12, plain, ![X6270:mat_a]:(((transpose_mat_a @ (uminus_uminus_mat_a @ X6270))=(uminus_uminus_mat_a @ (transpose_mat_a @ X6270)))), inference(variable_rename,[status(thm)],[fact_224_transpose__uminus])). 19.57/19.80 thf(c_0_13, plain, ![X6225:mat_a, X6226:mat_a]:(((((transpose_mat_a @ X6225)!=(transpose_mat_a @ X6226))|((X6225)=(X6226)))&(((X6225)!=(X6226))|((transpose_mat_a @ X6225)=(transpose_mat_a @ X6226))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_207_transpose__mat__eq])])). 19.57/19.80 thf(c_0_14, plain, ![X6248:mat_a, X6249:mat_a]:(((((uminus_uminus_mat_a @ X6248)!=(uminus_uminus_mat_a @ X6249))|((X6248)=(X6249)))&(((X6248)!=(X6249))|((uminus_uminus_mat_a @ X6248)=(uminus_uminus_mat_a @ X6249))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_214_uminus__eq__mat])])). 19.57/19.80 thf(c_0_15, negated_conjecture, ~(member_mat_a @ m_low @ (carrier_mat_a @ (plus_plus_nat @ nc @ nc) @ (plus_plus_nat @ nc @ nr))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 19.57/19.80 thf(c_0_16, plain, ((m_low)=(four_block_mat_a @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ a2) @ (zero_mat_a @ nc @ nc) @ (uminus_uminus_mat_a @ (transpose_mat_a @ a2)))), inference(split_conjunct,[status(thm)],[fact_205_M__low__def])). 19.57/19.80 thf(c_0_17, plain, ![X36:mat_a]:(((transpose_mat_a @ (uminus_uminus_mat_a @ X36))=(uminus_uminus_mat_a @ (transpose_mat_a @ X36)))), inference(split_conjunct,[status(thm)],[c_0_12])). 19.57/19.80 thf(c_0_18, plain, ![X36:mat_a, X38:mat_a]:((((X36)=(X38))|((transpose_mat_a @ X36)!=(transpose_mat_a @ X38)))), inference(split_conjunct,[status(thm)],[c_0_13])). 19.57/19.80 thf(c_0_19, plain, ![X6224:mat_a]:(((transpose_mat_a @ (transpose_mat_a @ X6224))=(X6224))), inference(variable_rename,[status(thm)],[fact_206_Matrix_Otranspose__transpose])). 19.57/19.80 thf(c_0_20, plain, ![X36:mat_a, X38:mat_a]:((((X36)=(X38))|((uminus_uminus_mat_a @ X36)!=(uminus_uminus_mat_a @ X38)))), inference(split_conjunct,[status(thm)],[c_0_14])). 19.57/19.80 thf(c_0_21, plain, ![X6247:mat_a]:(((uminus_uminus_mat_a @ (uminus_uminus_mat_a @ X6247))=(X6247))), inference(variable_rename,[status(thm)],[fact_213_uminus__uminus__mat])). 19.57/19.80 thf(c_0_22, negated_conjecture, ~((member_mat_a @ m_low @ (carrier_mat_a @ (plus_plus_nat @ nc @ nc) @ (plus_plus_nat @ nc @ nr)))), inference(split_conjunct,[status(thm)],[c_0_15])). 19.57/19.80 thf(c_0_23, plain, ((m_low)=(four_block_mat_a @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ a2) @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ (uminus_uminus_mat_a @ a2)))), inference(rw,[status(thm)],[c_0_16, c_0_17])). 19.57/19.80 thf(c_0_24, plain, ![X36:mat_a]:(((esk298_1 @ (transpose_mat_a @ X36))=(X36))), inference(recongize_injectivity,[status(thm)],[c_0_18])). 19.57/19.80 thf(c_0_25, plain, ![X36:mat_a]:(((transpose_mat_a @ (transpose_mat_a @ X36))=(X36))), inference(split_conjunct,[status(thm)],[c_0_19])). 19.57/19.80 thf(c_0_26, plain, ![X36:mat_a]:(((esk297_1 @ (uminus_uminus_mat_a @ X36))=(X36))), inference(recongize_injectivity,[status(thm)],[c_0_20])). 19.57/19.80 thf(c_0_27, plain, ![X36:mat_a]:(((uminus_uminus_mat_a @ (uminus_uminus_mat_a @ X36))=(X36))), inference(split_conjunct,[status(thm)],[c_0_21])). 19.57/19.80 thf(c_0_28, plain, ![X6253:mat_a, X6254:nat, X6255:nat]:(((~(member_mat_a @ (uminus_uminus_mat_a @ X6253) @ (carrier_mat_a @ X6254 @ X6255))|(member_mat_a @ X6253 @ (carrier_mat_a @ X6254 @ X6255)))&(~(member_mat_a @ X6253 @ (carrier_mat_a @ X6254 @ X6255))|(member_mat_a @ (uminus_uminus_mat_a @ X6253) @ (carrier_mat_a @ X6254 @ X6255))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_216_uminus__carrier__iff__mat])])). 19.57/19.80 thf(c_0_29, plain, ![X6250:mat_a, X6251:nat, X6252:nat]:(((~(member_mat_a @ (transpose_mat_a @ X6250) @ (carrier_mat_a @ X6251 @ X6252))|(member_mat_a @ X6250 @ (carrier_mat_a @ X6252 @ X6251)))&(~(member_mat_a @ X6250 @ (carrier_mat_a @ X6252 @ X6251))|(member_mat_a @ (transpose_mat_a @ X6250) @ (carrier_mat_a @ X6251 @ X6252))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_transpose__carrier__mat])])). 19.57/19.80 thf(c_0_30, negated_conjecture, ~((member_mat_a @ (four_block_mat_a @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ a2) @ (zero_mat_a @ nc @ nc) @ (transpose_mat_a @ (uminus_uminus_mat_a @ a2))) @ (carrier_mat_a @ (plus_plus_nat @ nc @ nc) @ (plus_plus_nat @ nc @ nr)))), inference(rw,[status(thm)],[c_0_22, c_0_23])). 19.57/19.80 thf(c_0_31, plain, ![X36:mat_a]:(((transpose_mat_a @ X36)=(esk298_1 @ X36))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 19.57/19.80 thf(c_0_32, plain, ![X36:mat_a]:(((uminus_uminus_mat_a @ X36)=(esk297_1 @ X36))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 19.57/19.80 thf(c_0_33, plain, ![X6205:mat_a, X6206:nat, X6207:nat, X6208:mat_a, X6209:nat, X6210:nat, X6211:mat_a, X6212:mat_a]:((~(member_mat_a @ X6205 @ (carrier_mat_a @ X6206 @ X6207))|(~(member_mat_a @ X6208 @ (carrier_mat_a @ X6209 @ X6210))|(member_mat_a @ (four_block_mat_a @ X6205 @ X6211 @ X6212 @ X6208) @ (carrier_mat_a @ (plus_plus_nat @ X6206 @ X6209) @ (plus_plus_nat @ X6207 @ X6210)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_193_four__block__carrier__mat])])). 19.57/19.80 thf(c_0_34, plain, ![X6066:nat, X6067:nat]:((member_mat_a @ (zero_mat_a @ X6066 @ X6067) @ (carrier_mat_a @ X6066 @ X6067))), inference(variable_rename,[status(thm)],[fact_150_zero__carrier__mat])). 19.57/19.80 thf(c_0_35, plain, ![X1:nat, X36:mat_a, X2:nat]:(((member_mat_a @ (uminus_uminus_mat_a @ X36) @ (carrier_mat_a @ X1 @ X2))|~((member_mat_a @ X36 @ (carrier_mat_a @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_28])). 19.57/19.80 thf(c_0_36, plain, ![X1:nat, X36:mat_a, X2:nat]:(((member_mat_a @ (transpose_mat_a @ X36) @ (carrier_mat_a @ X2 @ X1))|~((member_mat_a @ X36 @ (carrier_mat_a @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_29])). 19.57/19.80 thf(c_0_37, negated_conjecture, ~((member_mat_a @ (four_block_mat_a @ (zero_mat_a @ nc @ nc) @ (esk298_1 @ a2) @ (zero_mat_a @ nc @ nc) @ (esk298_1 @ (esk297_1 @ a2))) @ (carrier_mat_a @ (plus_plus_nat @ nc @ nc) @ (plus_plus_nat @ nc @ nr)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_31])). 19.57/19.80 thf(c_0_38, plain, ![X1:nat, X2:nat, X36:mat_a, X3:nat, X38:mat_a, X180:mat_a, X177:mat_a, X75:nat]:(((member_mat_a @ (four_block_mat_a @ X36 @ X177 @ X180 @ X38) @ (carrier_mat_a @ (plus_plus_nat @ X1 @ X3) @ (plus_plus_nat @ X2 @ X75)))|~((member_mat_a @ X36 @ (carrier_mat_a @ X1 @ X2)))|~((member_mat_a @ X38 @ (carrier_mat_a @ X3 @ X75))))), inference(split_conjunct,[status(thm)],[c_0_33])). 19.57/19.80 thf(c_0_39, plain, ![X1:nat, X2:nat]:((member_mat_a @ (zero_mat_a @ X1 @ X2) @ (carrier_mat_a @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_34])). 19.57/19.80 thf(c_0_40, plain, ![X1:nat, X36:mat_a, X2:nat]:(((member_mat_a @ (esk297_1 @ X36) @ (carrier_mat_a @ X1 @ X2))|~((member_mat_a @ X36 @ (carrier_mat_a @ X1 @ X2))))), inference(rw,[status(thm)],[c_0_35, c_0_32])). 19.57/19.80 thf(c_0_41, plain, ![X36:mat_a]:(((esk297_1 @ (esk298_1 @ X36))=(esk298_1 @ (esk297_1 @ X36)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_31]), c_0_32]), c_0_32]), c_0_31])). 19.57/19.80 thf(c_0_42, plain, ![X36:mat_a, X2:nat, X1:nat]:(((member_mat_a @ (esk298_1 @ X36) @ (carrier_mat_a @ X1 @ X2))|~((member_mat_a @ X36 @ (carrier_mat_a @ X2 @ X1))))), inference(rw,[status(thm)],[c_0_36, c_0_31])). 19.57/19.80 thf(c_0_43, plain, (member_mat_a @ a2 @ (carrier_mat_a @ nr @ nc)), inference(split_conjunct,[status(thm)],[fact_0_A])). 19.57/19.80 thf(c_0_44, negated_conjecture, ~((member_mat_a @ (esk298_1 @ (esk297_1 @ a2)) @ (carrier_mat_a @ nc @ nr))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])). 19.57/19.80 thf(c_0_45, plain, ![X1:nat, X36:mat_a, X2:nat]:(((member_mat_a @ (esk298_1 @ (esk297_1 @ X36)) @ (carrier_mat_a @ X1 @ X2))|~((member_mat_a @ (esk298_1 @ X36) @ (carrier_mat_a @ X1 @ X2))))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 19.57/19.80 thf(c_0_46, plain, (member_mat_a @ (esk298_1 @ a2) @ (carrier_mat_a @ nc @ nr)), inference(spm,[status(thm)],[c_0_42, c_0_43])). 19.57/19.80 thf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])]), ['proof']). 19.57/19.80 # SZS output end CNFRefutation 19.57/19.80 # Parsed axioms : 1465 19.57/19.80 # Removed by relevancy pruning/SinE : 0 19.57/19.80 # Initial clauses : 2446 19.57/19.80 # Removed in clause preprocessing : 337 19.57/19.80 # Initial clauses in saturation : 2109 19.57/19.80 # Processed clauses : 26329 19.57/19.80 # ...of these trivial : 1263 19.57/19.80 # ...subsumed : 18922 19.57/19.80 # ...remaining for further processing : 6144 19.57/19.80 # Other redundant clauses eliminated : 1904 19.57/19.80 # Clauses deleted for lack of memory : 0 19.57/19.80 # Backward-subsumed : 64 19.57/19.80 # Backward-rewritten : 813 19.57/19.80 # Generated clauses : 123415 19.57/19.80 # ...of the previous two non-redundant : 108985 19.57/19.80 # ...aggressively subsumed : 0 19.57/19.80 # Contextual simplify-reflections : 9 19.57/19.80 # Paramodulations : 121258 19.57/19.80 # Factorizations : 18 19.57/19.80 # NegExts : 11 19.57/19.80 # Equation resolutions : 1951 19.57/19.80 # Propositional unsat checks : 0 19.57/19.80 # Propositional check models : 0 19.57/19.80 # Propositional check unsatisfiable : 0 19.57/19.80 # Propositional clauses : 0 19.57/19.80 # Propositional clauses after purity: 0 19.57/19.80 # Propositional unsat core size : 0 19.57/19.80 # Propositional preprocessing time : 0.000 19.57/19.80 # Propositional encoding time : 0.000 19.57/19.80 # Propositional solver time : 0.000 19.57/19.80 # Success case prop preproc time : 0.000 19.57/19.80 # Success case prop encoding time : 0.000 19.57/19.80 # Success case prop solver time : 0.000 19.57/19.80 # Current number of processed clauses : 3857 19.57/19.80 # Positive orientable unit clauses : 760 19.57/19.80 # Positive unorientable unit clauses: 43 19.57/19.80 # Negative unit clauses : 949 19.57/19.80 # Non-unit-clauses : 2105 19.57/19.80 # Current number of unprocessed clauses: 83450 19.57/19.80 # ...number of literals in the above : 195938 19.57/19.80 # Current number of archived formulas : 0 19.57/19.80 # Current number of archived clauses : 1997 19.57/19.80 # Clause-clause subsumption calls (NU) : 898714 19.57/19.80 # Rec. Clause-clause subsumption calls : 572630 19.57/19.80 # Non-unit clause-clause subsumptions : 5302 19.57/19.80 # Unit Clause-clause subsumption calls : 253348 19.57/19.80 # Rewrite failures with RHS unbound : 0 19.57/19.80 # BW rewrite match attempts : 1773 19.57/19.80 # BW rewrite match successes : 1013 19.57/19.80 # Condensation attempts : 26329 19.57/19.80 # Condensation successes : 95 19.57/19.80 # Termbank termtop insertions : 5065238 19.57/19.80 19.57/19.80 # ------------------------------------------------- 19.57/19.80 # User time : 18.478 s 19.57/19.80 # System time : 0.641 s 19.57/19.80 # Total time : 19.119 s 19.57/19.80 # Maximum resident set size: 12828 pages 19.57/19.80 19.57/19.80 # ------------------------------------------------- 19.57/19.80 # User time : 18.531 s 19.57/19.80 # System time : 0.647 s 19.57/19.80 # Total time : 19.178 s 19.57/19.80 # Maximum resident set size: 4856 pages 19.57/19.80 EOF