0.11/0.30	% Problem    : SLH0029^1 : TPTP v8.2.0. Released v8.2.0.
0.11/0.31	% Command    : run_E %s %d THM
0.32/0.52	% Computer : n002.cluster.edu
0.32/0.52	% Model    : x86_64 x86_64
0.32/0.52	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.32/0.52	% Memory   : 8042.1875MB
0.32/0.52	% OS       : Linux 3.10.0-693.el7.x86_64
0.32/0.52	% CPULimit   : 30
0.32/0.52	% WCLimit    : 30
0.32/0.52	% DateTime   : Mon Jul  3 09:36:22 EDT 2023
0.32/0.52	% CPUTime    : 
0.38/0.64	The problem SPC is TH0_THM_EQU_NAR
0.38/0.65	Running higher-order on 1 cores theorem proving
0.38/0.65	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.HLu7Jzjejt/Vampire---4.8_12644
0.38/0.65	# Version: 3.0pre003-ho
1.05/1.24	# Preprocessing class: HMLMSMSMSSLNHFA.
1.05/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.05/1.24	# Starting new_ho_10 with 30s (1) cores
1.05/1.24	# new_ho_10 with pid 12823 completed with status 0
1.05/1.24	# Result found by new_ho_10
1.05/1.24	# Preprocessing class: HMLMSMSMSSLNHFA.
1.05/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.05/1.24	# Starting new_ho_10 with 30s (1) cores
1.05/1.24	# No SInE strategy applied
1.05/1.24	# Search class: HGHSM-SMLM32-DHFFFSBC
1.05/1.24	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.05/1.24	# Starting ho_unfolding_3 with 12s (1) cores
1.05/1.24	# ho_unfolding_3 with pid 12824 completed with status 0
1.05/1.24	# Result found by ho_unfolding_3
1.05/1.24	# Preprocessing class: HMLMSMSMSSLNHFA.
1.05/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.05/1.24	# Starting new_ho_10 with 30s (1) cores
1.05/1.24	# No SInE strategy applied
1.05/1.24	# Search class: HGHSM-SMLM32-DHFFFSBC
1.05/1.24	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.05/1.24	# Starting ho_unfolding_3 with 12s (1) cores
1.05/1.24	# Preprocessing time       : 0.036 s
1.05/1.24	# Presaturation interreduction done
1.05/1.24	
1.05/1.24	# Proof found!
1.05/1.24	# SZS status Theorem
1.05/1.24	# SZS output start CNFRefutation
1.05/1.24	thf(decl_22, type, column6029646570091773654omplex: complex > nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_23, type, column3081110322506813142_row_a: a > nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_24, type, column896436094548437152omplex: complex > nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_25, type, column5442440509538803650ol_nat: nat > nat > nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_26, type, column_mat_addcol_a: a > nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_27, type, column4410001698458707789omplex: nat > complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_28, type, column384608550491945071ol_nat: nat > nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_29, type, column_mat_multcol_a: nat > a > mat_a > mat_a).
1.05/1.24	thf(decl_30, type, column4357519492343924999omplex: nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_31, type, column2528828918332591333cols_a: nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_32, type, column7161609239796038556omplex: nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_33, type, column5129559316938501008rows_a: nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_34, type, commut4119912100034661455omplex: mat_complex > (nat > nat) > mat_complex).
1.05/1.24	thf(decl_35, type, commut3385207333667201222omplex: mat_mat_complex > (nat > nat) > mat_mat_complex).
1.05/1.24	thf(decl_36, type, commut4845697108357530492_mat_a: mat_mat_a > (nat > nat) > mat_mat_a).
1.05/1.24	thf(decl_37, type, commut5604902300900073841ag_nat: mat_nat > (nat > nat) > mat_nat).
1.05/1.24	thf(decl_38, type, commut2266157578301771525omplex: mat_set_complex > (nat > nat) > mat_set_complex).
1.05/1.24	thf(decl_39, type, commuting_per_diag_a: mat_a > (nat > nat) > mat_a).
1.05/1.24	thf(decl_40, type, comple8306762464034002205omplex: mat_complex > $o).
1.05/1.24	thf(decl_41, type, complex_hermitian_a: mat_a > $o).
1.05/1.24	thf(decl_42, type, comple6660659447773130958omplex: mat_complex > $o).
1.05/1.24	thf(decl_43, type, complex_unitary_a: mat_a > $o).
1.05/1.24	thf(decl_44, type, gauss_947198734564870628omplex: nat > complex > nat > nat > mat_complex).
1.05/1.24	thf(decl_45, type, gauss_6496870380031412486at_nat: nat > nat > nat > nat > mat_nat).
1.05/1.24	thf(decl_46, type, gauss_8159914756388622152_mat_a: nat > a > nat > nat > mat_a).
1.05/1.24	thf(decl_47, type, gauss_2785350030914899391omplex: (complex > complex > complex) > (complex > complex > complex) > (nat > complex) > mat_complex > nat > nat > mat_complex).
1.05/1.24	thf(decl_48, type, gauss_7515860606763079213_gen_a: (a > a > a) > (a > a > a) > (nat > a) > mat_a > nat > nat > mat_a).
1.05/1.24	thf(decl_49, type, gauss_5252963565656066424omplex: (complex > complex > complex) > (complex > complex > complex) > complex > nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_50, type, gauss_8885043348566651034en_nat: (nat > nat > nat) > (nat > nat > nat) > nat > nat > nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_51, type, gauss_3441994962245461172_gen_a: (a > a > a) > (a > a > a) > a > nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_52, type, gauss_2324787009747932227omplex: (complex > complex > complex) > nat > complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_53, type, gauss_2409696420326117733en_nat: (nat > nat > nat) > nat > nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_54, type, gauss_5154200947219177641_gen_a: (a > a > a) > nat > a > mat_a > mat_a).
1.05/1.24	thf(decl_55, type, gauss_1020679828357514249omplex: nat > nat > mat_complex > mat_complex).
1.05/1.24	thf(decl_56, type, gauss_2482569599970757219rows_a: nat > nat > mat_a > mat_a).
1.05/1.24	thf(decl_57, type, gauss_6868829418328711927omplex: nat > nat > complex > mat_complex).
1.05/1.24	thf(decl_58, type, gauss_3195076542185637913at_nat: nat > nat > nat > mat_nat).
1.05/1.24	thf(decl_59, type, gauss_5015385051186949877_mat_a: nat > nat > a > mat_a).
1.05/1.24	thf(decl_60, type, gauss_2609248829700396350omplex: mat_complex > (nat > nat) > nat > $o).
1.05/1.24	thf(decl_61, type, gauss_8416567519840421984un_nat: mat_nat > (nat > nat) > nat > $o).
1.05/1.24	thf(decl_62, type, gauss_3598389698021192302_fun_a: mat_a > (nat > nat) > nat > $o).
1.05/1.24	thf(decl_63, type, gauss_8970452565587180529omplex: nat > nat > nat > mat_complex).
1.05/1.24	thf(decl_64, type, gauss_110929411057020027_mat_a: nat > nat > nat > mat_a).
1.05/1.24	thf(decl_65, type, minus_minus_complex: complex > complex > complex).
1.05/1.24	thf(decl_66, type, minus_2412168080157227406omplex: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_67, type, minus_1104642222790461277omplex: mat_mat_complex > mat_mat_complex > mat_mat_complex).
1.05/1.24	thf(decl_68, type, minus_minus_mat_nat: mat_nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_69, type, minus_minus_mat_a: mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_70, type, minus_minus_nat: nat > nat > nat).
1.05/1.24	thf(decl_71, type, minus_2734116836287720782omplex: produc352478934956084711omplex > produc352478934956084711omplex > produc352478934956084711omplex).
1.05/1.24	thf(decl_72, type, minus_1583438508407137535ex_nat: produc4941145339993070502ex_nat > produc4941145339993070502ex_nat > produc4941145339993070502ex_nat).
1.05/1.24	thf(decl_73, type, minus_9125208095613564965omplex: produc3259542890344722124omplex > produc3259542890344722124omplex > produc3259542890344722124omplex).
1.05/1.24	thf(decl_74, type, minus_4365393887724441320at_nat: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat).
1.05/1.24	thf(decl_75, type, minus_minus_a: a > a > a).
1.05/1.24	thf(decl_76, type, plus_plus_complex: complex > complex > complex).
1.05/1.24	thf(decl_77, type, plus_p8323303612493835998omplex: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_78, type, plus_p8504688029521939981omplex: mat_mat_complex > mat_mat_complex > mat_mat_complex).
1.05/1.24	thf(decl_79, type, plus_plus_mat_nat: mat_nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_80, type, plus_plus_mat_a: mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_81, type, plus_plus_nat: nat > nat > nat).
1.05/1.24	thf(decl_82, type, plus_p6104634242915576478omplex: produc352478934956084711omplex > produc352478934956084711omplex > produc352478934956084711omplex).
1.05/1.24	thf(decl_83, type, plus_p679445643052534703ex_nat: produc4941145339993070502ex_nat > produc4941145339993070502ex_nat > produc4941145339993070502ex_nat).
1.05/1.24	thf(decl_84, type, plus_p8221215230258962133omplex: produc3259542890344722124omplex > produc3259542890344722124omplex > produc3259542890344722124omplex).
1.05/1.24	thf(decl_85, type, plus_p9057090461656269880at_nat: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat).
1.05/1.24	thf(decl_86, type, plus_p7052360327008956141omplex: set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_87, type, plus_plus_set_nat: set_nat > set_nat > set_nat).
1.05/1.24	thf(decl_88, type, plus_plus_set_a: set_a > set_a > set_a).
1.05/1.24	thf(decl_89, type, plus_plus_a: a > a > a).
1.05/1.24	thf(decl_90, type, times_times_complex: complex > complex > complex).
1.05/1.24	thf(decl_91, type, times_8009071140041733218omplex: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_92, type, times_times_mat_nat: mat_nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_93, type, times_times_mat_a: mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_94, type, times_times_nat: nat > nat > nat).
1.05/1.24	thf(decl_95, type, times_6048082448287401577omplex: set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_96, type, times_6731331324747250370omplex: set_mat_complex > set_mat_complex > set_mat_complex).
1.05/1.24	thf(decl_97, type, times_1230744552615602198_mat_a: set_mat_a > set_mat_a > set_mat_a).
1.05/1.24	thf(decl_98, type, times_times_set_nat: set_nat > set_nat > set_nat).
1.05/1.24	thf(decl_99, type, times_times_set_a: set_a > set_a > set_a).
1.05/1.24	thf(decl_100, type, times_times_a: a > a > a).
1.05/1.24	thf(decl_101, type, uminus1482373934393186551omplex: complex > complex).
1.05/1.24	thf(decl_102, type, uminus467866341702955550omplex: mat_complex > mat_complex).
1.05/1.24	thf(decl_103, type, uminus9210244920068684493omplex: mat_mat_complex > mat_mat_complex).
1.05/1.24	thf(decl_104, type, uminus7475014175159922420omplex: mat_mat_mat_complex > mat_mat_mat_complex).
1.05/1.24	thf(decl_105, type, uminus2462596480751992523_mat_a: mat_mat_a > mat_mat_a).
1.05/1.24	thf(decl_106, type, uminus7128197559444351444omplex: mat_set_complex > mat_set_complex).
1.05/1.24	thf(decl_107, type, uminus_uminus_mat_a: mat_a > mat_a).
1.05/1.24	thf(decl_108, type, uminus1549559210541551070omplex: produc352478934956084711omplex > produc352478934956084711omplex).
1.05/1.24	thf(decl_109, type, uminus8566677241136511917omplex: set_complex > set_complex).
1.05/1.24	thf(decl_110, type, uminus_uminus_a: a > a).
1.05/1.24	thf(decl_111, type, zero_zero_complex: complex).
1.05/1.24	thf(decl_112, type, zero_zero_nat: nat).
1.05/1.24	thf(decl_113, type, zero_z3979849011205770936at_nat: product_prod_nat_nat).
1.05/1.24	thf(decl_114, type, zero_z6614145512433583213omplex: set_complex).
1.05/1.24	thf(decl_115, type, zero_zero_a: a).
1.05/1.24	thf(decl_116, type, if_nat: $o > nat > nat > nat).
1.05/1.24	thf(decl_117, type, enumerate_mat_a: nat > list_mat_a > list_P2678535509005046162_mat_a).
1.05/1.24	thf(decl_118, type, enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat).
1.05/1.24	thf(decl_119, type, nth_complex: list_complex > nat > complex).
1.05/1.24	thf(decl_120, type, nth_mat_complex: list_mat_complex > nat > mat_complex).
1.05/1.24	thf(decl_121, type, nth_mat_nat: list_mat_nat > nat > mat_nat).
1.05/1.24	thf(decl_122, type, nth_mat_set_complex: list_mat_set_complex > nat > mat_set_complex).
1.05/1.24	thf(decl_123, type, nth_mat_a: list_mat_a > nat > mat_a).
1.05/1.24	thf(decl_124, type, nth_nat: list_nat > nat > nat).
1.05/1.24	thf(decl_125, type, nth_Pr2703097215292226707_mat_a: list_P2678535509005046162_mat_a > nat > produc6615137861182262924_mat_a).
1.05/1.24	thf(decl_126, type, nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat).
1.05/1.24	thf(decl_127, type, nth_a: list_a > nat > a).
1.05/1.24	thf(decl_128, type, product_mat_a_mat_a: list_mat_a > list_mat_a > list_P5411175341357971485_mat_a).
1.05/1.24	thf(decl_129, type, append_rows_complex: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_130, type, append_rows_a: mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_131, type, carrier_mat_complex: nat > nat > set_mat_complex).
1.05/1.24	thf(decl_132, type, carrie8442657464762054641omplex: nat > nat > set_mat_mat_complex).
1.05/1.24	thf(decl_133, type, carrie9111631603771871034omplex: nat > nat > set_ma3663304160531420893omplex).
1.05/1.24	thf(decl_134, type, carrie4377585508862595486_mat_a: nat > nat > set_mat_mat_mat_a).
1.05/1.24	thf(decl_135, type, carrier_mat_mat_nat: nat > nat > set_mat_mat_nat).
1.05/1.24	thf(decl_136, type, carrier_mat_mat_a: nat > nat > set_mat_mat_a).
1.05/1.24	thf(decl_137, type, carrier_mat_nat: nat > nat > set_mat_nat).
1.05/1.24	thf(decl_138, type, carrie8284637716162328474omplex: nat > nat > set_mat_set_complex).
1.05/1.24	thf(decl_139, type, carrier_mat_a: nat > nat > set_mat_a).
1.05/1.24	thf(decl_140, type, diag_b9145358668110806138omplex: list_mat_complex > mat_complex).
1.05/1.24	thf(decl_141, type, diag_block_mat_nat: list_mat_nat > mat_nat).
1.05/1.24	thf(decl_142, type, diag_b720587149039162160omplex: list_mat_set_complex > mat_set_complex).
1.05/1.24	thf(decl_143, type, diag_block_mat_a: list_mat_a > mat_a).
1.05/1.24	thf(decl_144, type, diagonal_mat_complex: mat_complex > $o).
1.05/1.24	thf(decl_145, type, diagonal_mat_nat: mat_nat > $o).
1.05/1.24	thf(decl_146, type, diagon239625111944231554at_nat: mat_Pr3994417008679617630at_nat > $o).
1.05/1.24	thf(decl_147, type, diagon5151661905941977379omplex: mat_set_complex > $o).
1.05/1.24	thf(decl_148, type, diagonal_mat_a: mat_a > $o).
1.05/1.24	thf(decl_149, type, dim_col_complex: mat_complex > nat).
1.05/1.24	thf(decl_150, type, dim_col_mat_complex: mat_mat_complex > nat).
1.05/1.24	thf(decl_151, type, dim_co7545570394955013482omplex: mat_mat_mat_complex > nat).
1.05/1.24	thf(decl_152, type, dim_col_mat_mat_a: mat_mat_mat_a > nat).
1.05/1.24	thf(decl_153, type, dim_col_mat_nat: mat_mat_nat > nat).
1.05/1.24	thf(decl_154, type, dim_col_mat_a: mat_mat_a > nat).
1.05/1.24	thf(decl_155, type, dim_col_nat: mat_nat > nat).
1.05/1.24	thf(decl_156, type, dim_co6492538100599295771at_nat: mat_Pr3994417008679617630at_nat > nat).
1.05/1.24	thf(decl_157, type, dim_col_set_complex: mat_set_complex > nat).
1.05/1.24	thf(decl_158, type, dim_co1664527697188147233omplex: mat_set_mat_complex > nat).
1.05/1.24	thf(decl_159, type, dim_col_set_mat_a: mat_set_mat_a > nat).
1.05/1.24	thf(decl_160, type, dim_col_set_nat: mat_set_nat > nat).
1.05/1.24	thf(decl_161, type, dim_col_set_a: mat_set_a > nat).
1.05/1.24	thf(decl_162, type, dim_col_a: mat_a > nat).
1.05/1.24	thf(decl_163, type, dim_row_complex: mat_complex > nat).
1.05/1.24	thf(decl_164, type, dim_row_mat_complex: mat_mat_complex > nat).
1.05/1.24	thf(decl_165, type, dim_ro358828680681214724omplex: mat_mat_mat_complex > nat).
1.05/1.24	thf(decl_166, type, dim_row_mat_mat_a: mat_mat_mat_a > nat).
1.05/1.24	thf(decl_167, type, dim_row_mat_nat: mat_mat_nat > nat).
1.05/1.24	thf(decl_168, type, dim_row_mat_a: mat_mat_a > nat).
1.05/1.24	thf(decl_169, type, dim_row_nat: mat_nat > nat).
1.05/1.24	thf(decl_170, type, dim_ro1249899285275649537at_nat: mat_Pr3994417008679617630at_nat > nat).
1.05/1.24	thf(decl_171, type, dim_row_set_complex: mat_set_complex > nat).
1.05/1.24	thf(decl_172, type, dim_ro5645260918719276807omplex: mat_set_mat_complex > nat).
1.05/1.24	thf(decl_173, type, dim_row_set_mat_a: mat_set_mat_a > nat).
1.05/1.24	thf(decl_174, type, dim_row_set_nat: mat_set_nat > nat).
1.05/1.24	thf(decl_175, type, dim_row_set_a: mat_set_a > nat).
1.05/1.24	thf(decl_176, type, dim_row_a: mat_a > nat).
1.05/1.24	thf(decl_177, type, elements_mat_complex: mat_complex > set_complex).
1.05/1.24	thf(decl_178, type, elemen3580889201824698026omplex: mat_mat_complex > set_mat_complex).
1.05/1.24	thf(decl_179, type, elemen9025429746457212737omplex: mat_mat_mat_complex > set_mat_mat_complex).
1.05/1.24	thf(decl_180, type, elemen4078397321438269271_mat_a: mat_mat_mat_a > set_mat_mat_a).
1.05/1.24	thf(decl_181, type, elements_mat_mat_nat: mat_mat_nat > set_mat_nat).
1.05/1.24	thf(decl_182, type, elements_mat_mat_a: mat_mat_a > set_mat_a).
1.05/1.24	thf(decl_183, type, elements_mat_nat: mat_nat > set_nat).
1.05/1.24	thf(decl_184, type, elemen2605078051273668129omplex: mat_set_complex > set_set_complex).
1.05/1.24	thf(decl_185, type, elements_mat_a: mat_a > set_a).
1.05/1.24	thf(decl_186, type, four_b559179830521662709omplex: mat_complex > mat_complex > mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_187, type, four_block_mat_a: mat_a > mat_a > mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_188, type, index_mat_complex: mat_complex > product_prod_nat_nat > complex).
1.05/1.24	thf(decl_189, type, index_7093623372566408491omplex: mat_mat_complex > product_prod_nat_nat > mat_complex).
1.05/1.24	thf(decl_190, type, index_4240009552160427392omplex: mat_mat_mat_complex > product_prod_nat_nat > mat_mat_complex).
1.05/1.24	thf(decl_191, type, index_mat_mat_mat_a: mat_mat_mat_a > product_prod_nat_nat > mat_mat_a).
1.05/1.24	thf(decl_192, type, index_mat_mat_nat: mat_mat_nat > product_prod_nat_nat > mat_nat).
1.05/1.24	thf(decl_193, type, index_mat_mat_a: mat_mat_a > product_prod_nat_nat > mat_a).
1.05/1.24	thf(decl_194, type, index_mat_nat: mat_nat > product_prod_nat_nat > nat).
1.05/1.24	thf(decl_195, type, index_7364406170160795269at_nat: mat_Pr3994417008679617630at_nat > product_prod_nat_nat > product_prod_nat_nat).
1.05/1.24	thf(decl_196, type, index_252864162597934816omplex: mat_set_complex > product_prod_nat_nat > set_complex).
1.05/1.24	thf(decl_197, type, index_2536395766749646731omplex: mat_set_mat_complex > product_prod_nat_nat > set_mat_complex).
1.05/1.24	thf(decl_198, type, index_mat_set_mat_a: mat_set_mat_a > product_prod_nat_nat > set_mat_a).
1.05/1.24	thf(decl_199, type, index_mat_set_nat: mat_set_nat > product_prod_nat_nat > set_nat).
1.05/1.24	thf(decl_200, type, index_mat_set_a: mat_set_a > product_prod_nat_nat > set_a).
1.05/1.24	thf(decl_201, type, index_mat_a: mat_a > product_prod_nat_nat > a).
1.05/1.24	thf(decl_202, type, mk_diagonal_complex: list_complex > mat_complex).
1.05/1.24	thf(decl_203, type, mk_diagonal_nat: list_nat > mat_nat).
1.05/1.24	thf(decl_204, type, mk_dia3013131533387376357omplex: list_set_complex > mat_set_complex).
1.05/1.24	thf(decl_205, type, mk_diagonal_a: list_a > mat_a).
1.05/1.24	thf(decl_206, type, smult_mat_complex: complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_207, type, smult_779153608156729276omplex: mat_complex > mat_mat_complex > mat_mat_complex).
1.05/1.24	thf(decl_208, type, smult_mat_mat_a: mat_a > mat_mat_a > mat_mat_a).
1.05/1.24	thf(decl_209, type, smult_mat_nat: nat > mat_nat > mat_nat).
1.05/1.24	thf(decl_210, type, smult_4557042052056852367omplex: set_complex > mat_set_complex > mat_set_complex).
1.05/1.24	thf(decl_211, type, smult_7584750086857076252omplex: set_mat_complex > mat_set_mat_complex > mat_set_mat_complex).
1.05/1.24	thf(decl_212, type, smult_mat_set_mat_a: set_mat_a > mat_set_mat_a > mat_set_mat_a).
1.05/1.24	thf(decl_213, type, smult_mat_set_nat: set_nat > mat_set_nat > mat_set_nat).
1.05/1.24	thf(decl_214, type, smult_mat_set_a: set_a > mat_set_a > mat_set_a).
1.05/1.24	thf(decl_215, type, smult_mat_a: a > mat_a > mat_a).
1.05/1.24	thf(decl_216, type, split_block_complex: mat_complex > nat > nat > produc1634985270395358183omplex).
1.05/1.24	thf(decl_217, type, split_block_a: mat_a > nat > nat > produc4216251508294696237_mat_a).
1.05/1.24	thf(decl_218, type, update_mat_complex: mat_complex > product_prod_nat_nat > complex > mat_complex).
1.05/1.24	thf(decl_219, type, update2332872114388419836omplex: mat_mat_complex > product_prod_nat_nat > mat_complex > mat_mat_complex).
1.05/1.24	thf(decl_220, type, update_mat_mat_a: mat_mat_a > product_prod_nat_nat > mat_a > mat_mat_a).
1.05/1.24	thf(decl_221, type, update_mat_nat: mat_nat > product_prod_nat_nat > nat > mat_nat).
1.05/1.24	thf(decl_222, type, update5773086606362264143omplex: mat_set_complex > product_prod_nat_nat > set_complex > mat_set_complex).
1.05/1.24	thf(decl_223, type, update_mat_a: mat_a > product_prod_nat_nat > a > mat_a).
1.05/1.24	thf(decl_224, type, upper_4850907204721561915omplex: mat_complex > $o).
1.05/1.24	thf(decl_225, type, upper_triangular_nat: mat_nat > $o).
1.05/1.24	thf(decl_226, type, upper_triangular_a: mat_a > $o).
1.05/1.24	thf(decl_227, type, zero_mat_complex: nat > nat > mat_complex).
1.05/1.24	thf(decl_228, type, zero_mat_nat: nat > nat > mat_nat).
1.05/1.24	thf(decl_229, type, zero_mat_a: nat > nat > mat_a).
1.05/1.24	thf(decl_230, type, size_s3451745648224563538omplex: list_complex > nat).
1.05/1.24	thf(decl_231, type, size_s5969786470865220249omplex: list_mat_complex > nat).
1.05/1.24	thf(decl_232, type, size_s66138613738048955at_nat: list_mat_nat > nat).
1.05/1.24	thf(decl_233, type, size_s4356061022066487119omplex: list_mat_set_complex > nat).
1.05/1.24	thf(decl_234, type, size_size_list_mat_a: list_mat_a > nat).
1.05/1.24	thf(decl_235, type, size_size_list_nat: list_nat > nat).
1.05/1.24	thf(decl_236, type, size_s5760655373412765833_mat_a: list_P5411175341357971485_mat_a > nat).
1.05/1.24	thf(decl_237, type, size_s6487799837988466174_mat_a: list_P2678535509005046162_mat_a > nat).
1.05/1.24	thf(decl_238, type, size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat).
1.05/1.24	thf(decl_239, type, size_s1680217426184231176omplex: list_set_complex > nat).
1.05/1.24	thf(decl_240, type, size_size_list_a: list_a > nat).
1.05/1.24	thf(decl_241, type, ord_less_nat: nat > nat > $o).
1.05/1.24	thf(decl_242, type, ord_less_set_complex: set_complex > set_complex > $o).
1.05/1.24	thf(decl_243, type, ord_less_eq_complex: complex > complex > $o).
1.05/1.24	thf(decl_244, type, ord_le1403324449407493959omplex: mat_complex > mat_complex > $o).
1.05/1.24	thf(decl_245, type, ord_less_eq_mat_nat: mat_nat > mat_nat > $o).
1.05/1.24	thf(decl_246, type, ord_le4944801397134097149omplex: mat_set_complex > mat_set_complex > $o).
1.05/1.24	thf(decl_247, type, ord_less_eq_nat: nat > nat > $o).
1.05/1.24	thf(decl_248, type, ord_le8460144461188290721at_nat: product_prod_nat_nat > product_prod_nat_nat > $o).
1.05/1.24	thf(decl_249, type, ord_le8845911286399622709omplex: produc1650386626246186645omplex > produc1650386626246186645omplex > $o).
1.05/1.24	thf(decl_250, type, ord_le3350926765517121077ex_nat: produc5378774142218460821ex_nat > produc5378774142218460821ex_nat > $o).
1.05/1.24	thf(decl_251, type, ord_le6978878840087032777omplex: produc8064648209034914857omplex > produc8064648209034914857omplex > $o).
1.05/1.24	thf(decl_252, type, ord_le211207098394363844omplex: set_complex > set_complex > $o).
1.05/1.24	thf(decl_253, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
1.05/1.24	thf(decl_254, type, ord_less_eq_set_a: set_a > set_a > $o).
1.05/1.24	thf(decl_255, type, produc3658446505030690647omplex: mat_complex > mat_complex > produc352478934956084711omplex).
1.05/1.24	thf(decl_256, type, produc3916067632315525152ex_nat: mat_complex > nat > produc4941145339993070502ex_nat).
1.05/1.24	thf(decl_257, type, produc2861545499953221015omplex: mat_complex > produc352478934956084711omplex > produc5677646155008957607omplex).
1.05/1.24	thf(decl_258, type, produc1901862033385395287omplex: mat_complex > produc5677646155008957607omplex > produc1634985270395358183omplex).
1.05/1.24	thf(decl_259, type, produc3091253522927621199_mat_a: mat_a > mat_a > produc5370362606830271383_mat_a).
1.05/1.24	thf(decl_260, type, produc7602877900562455331_mat_a: mat_a > produc5370362606830271383_mat_a > produc5452184871688341745_mat_a).
1.05/1.24	thf(decl_261, type, produc5286753621172121189_mat_a: mat_a > produc5452184871688341745_mat_a > produc4216251508294696237_mat_a).
1.05/1.24	thf(decl_262, type, produc4998868960714853886omplex: nat > mat_complex > produc3259542890344722124omplex).
1.05/1.24	thf(decl_263, type, produc966498310820561988_mat_a: nat > mat_a > produc6615137861182262924_mat_a).
1.05/1.24	thf(decl_264, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
1.05/1.24	thf(decl_265, type, produc1375664759407572941omplex: nat > set_complex > produc1650386626246186645omplex).
1.05/1.24	thf(decl_266, type, produc8135886838325317069ex_nat: set_complex > nat > produc5378774142218460821ex_nat).
1.05/1.24	thf(decl_267, type, produc3790773574474814305omplex: set_complex > set_complex > produc8064648209034914857omplex).
1.05/1.24	thf(decl_268, type, projec3470689467825365843llapse: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_269, type, projec1944845285785509306omplex: complex > mat_complex > set_nat).
1.05/1.24	thf(decl_270, type, projec62243536223845275omplex: mat_complex > mat_mat_complex > set_nat).
1.05/1.24	thf(decl_271, type, projec6457533286793398759_mat_a: mat_a > mat_mat_a > set_nat).
1.05/1.24	thf(decl_272, type, projec3388465016253909212es_nat: nat > mat_nat > set_nat).
1.05/1.24	thf(decl_273, type, projec1891844141425996912omplex: set_complex > mat_set_complex > set_nat).
1.05/1.24	thf(decl_274, type, projec8096995296758946034ices_a: a > mat_a > set_nat).
1.05/1.24	thf(decl_275, type, projec2809893096078145286omplex: mat_complex > set_complex).
1.05/1.24	thf(decl_276, type, projec1765981369499306831omplex: mat_mat_complex > set_mat_complex).
1.05/1.24	thf(decl_277, type, projec3672609643092728412omplex: mat_mat_mat_complex > set_mat_mat_complex).
1.05/1.24	thf(decl_278, type, projec4756515352081630972_mat_a: mat_mat_mat_a > set_mat_mat_a).
1.05/1.24	thf(decl_279, type, projec9084014818998098289at_nat: mat_mat_nat > set_mat_nat).
1.05/1.24	thf(decl_280, type, projec9066127685012477747_mat_a: mat_mat_a > set_mat_a).
1.05/1.24	thf(decl_281, type, projec8639844951311350312ms_nat: mat_nat > set_nat).
1.05/1.24	thf(decl_282, type, projec1074658817887133116omplex: mat_set_complex > set_set_complex).
1.05/1.24	thf(decl_283, type, projec3180294917645509286lems_a: mat_a > set_a).
1.05/1.24	thf(decl_284, type, projec5943904436471448624omplex: mat_complex > mat_complex > mat_complex > $o).
1.05/1.24	thf(decl_285, type, projec1926941670171670524comp_a: mat_a > mat_a > mat_a > $o).
1.05/1.24	thf(decl_286, type, real_V2521375963428798218omplex: set_complex).
1.05/1.24	thf(decl_287, type, real_Vector_Reals_a: set_a).
1.05/1.24	thf(decl_288, type, collect_complex: (complex > $o) > set_complex).
1.05/1.24	thf(decl_289, type, collect_mat_complex: (mat_complex > $o) > set_mat_complex).
1.05/1.24	thf(decl_290, type, collec8095434345095979609omplex: (mat_mat_complex > $o) > set_mat_mat_complex).
1.05/1.24	thf(decl_291, type, collect_mat_mat_a: (mat_mat_a > $o) > set_mat_mat_a).
1.05/1.24	thf(decl_292, type, collect_mat_nat: (mat_nat > $o) > set_mat_nat).
1.05/1.24	thf(decl_293, type, collect_mat_a: (mat_a > $o) > set_mat_a).
1.05/1.24	thf(decl_294, type, collect_nat: (nat > $o) > set_nat).
1.05/1.24	thf(decl_295, type, collect_a: (a > $o) > set_a).
1.05/1.24	thf(decl_296, type, spectr5699176650994449695omplex: mat_complex > mat_complex > mat_complex).
1.05/1.24	thf(decl_297, type, spectr5828033140197310157conj_a: mat_a > mat_a > mat_a).
1.05/1.24	thf(decl_298, type, spectr5409772854192057952omplex: mat_complex > mat_complex > mat_complex > $o).
1.05/1.24	thf(decl_299, type, spectr3403749184330357196comp_a: mat_a > mat_a > mat_a > $o).
1.05/1.24	thf(decl_300, type, spectr532731689276696518omplex: mat_complex > mat_complex > mat_complex > $o).
1.05/1.24	thf(decl_301, type, spectr4894841263502123494diag_a: mat_a > mat_a > mat_a > $o).
1.05/1.24	thf(decl_302, type, member_complex: complex > set_complex > $o).
1.05/1.24	thf(decl_303, type, member_mat_complex: mat_complex > set_mat_complex > $o).
1.05/1.24	thf(decl_304, type, member7752848204589936667omplex: mat_mat_complex > set_mat_mat_complex > $o).
1.05/1.24	thf(decl_305, type, member1612865607044615206omplex: mat_mat_mat_complex > set_ma3663304160531420893omplex > $o).
1.05/1.24	thf(decl_306, type, member_mat_mat_mat_a: mat_mat_mat_a > set_mat_mat_mat_a > $o).
1.05/1.24	thf(decl_307, type, member_mat_mat_nat: mat_mat_nat > set_mat_mat_nat > $o).
1.05/1.24	thf(decl_308, type, member_mat_mat_a: mat_mat_a > set_mat_mat_a > $o).
1.05/1.24	thf(decl_309, type, member_mat_nat: mat_nat > set_mat_nat > $o).
1.05/1.24	thf(decl_310, type, member4925179507729234438omplex: mat_set_complex > set_mat_set_complex > $o).
1.05/1.24	thf(decl_311, type, member_mat_a: mat_a > set_mat_a > $o).
1.05/1.24	thf(decl_312, type, member_nat: nat > set_nat > $o).
1.05/1.24	thf(decl_313, type, member_set_complex: set_complex > set_set_complex > $o).
1.05/1.24	thf(decl_314, type, member_a: a > set_a > $o).
1.05/1.24	thf(decl_315, type, a2: mat_a).
1.05/1.24	thf(decl_316, type, b: mat_a).
1.05/1.24	thf(decl_317, type, bl: list_mat_a).
1.05/1.24	thf(decl_318, type, u: mat_a).
1.05/1.24	thf(decl_319, type, uf: mat_a).
1.05/1.24	thf(decl_320, type, ul: list_mat_a).
1.05/1.24	thf(decl_321, type, n: nat).
1.05/1.24	thf(decl_322, type, epred1_5: nat > nat > nat > nat > mat_a > $o).
1.05/1.24	thf(decl_323, type, epred2_5: nat > mat_complex > nat > nat > nat > $o).
1.05/1.24	thf(decl_324, type, epred3_6: nat > nat > nat > a > nat > mat_a > $o).
1.05/1.24	thf(decl_325, type, epred4_6: nat > nat > mat_complex > nat > complex > nat > $o).
1.05/1.24	thf(decl_326, type, epred5_6: mat_a > mat_a > nat > mat_a > mat_a > nat > $o).
1.05/1.24	thf(decl_327, type, epred6_6: mat_complex > mat_complex > mat_complex > mat_complex > nat > nat > $o).
1.05/1.24	thf(decl_328, type, esk1_2: mat_mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_329, type, esk2_2: mat_mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_330, type, esk3_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_331, type, esk4_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_332, type, esk5_2: mat_mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_333, type, esk6_2: mat_mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_334, type, esk7_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_335, type, esk8_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_336, type, esk9_2: mat_a > mat_a > nat).
1.05/1.24	thf(decl_337, type, esk10_2: mat_a > mat_a > nat).
1.05/1.24	thf(decl_338, type, esk11_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_339, type, esk12_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_340, type, esk13_2: mat_mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_341, type, esk14_2: mat_mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_342, type, esk15_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_343, type, esk16_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_344, type, esk17_2: mat_mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_345, type, esk18_2: mat_mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_346, type, esk19_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_347, type, esk20_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_348, type, esk21_2: mat_a > mat_a > nat).
1.05/1.24	thf(decl_349, type, esk22_2: mat_a > mat_a > nat).
1.05/1.24	thf(decl_350, type, esk23_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_351, type, esk24_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_352, type, esk25_2: (complex > $o) > (complex > $o) > complex).
1.05/1.24	thf(decl_353, type, esk26_2: (mat_complex > $o) > (mat_complex > $o) > mat_complex).
1.05/1.24	thf(decl_354, type, esk27_2: (a > $o) > (a > $o) > a).
1.05/1.24	thf(decl_355, type, esk28_2: (mat_a > $o) > (mat_a > $o) > mat_a).
1.05/1.24	thf(decl_356, type, esk29_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_357, type, esk30_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_358, type, esk31_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_359, type, esk32_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_360, type, esk33_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_361, type, esk34_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_362, type, esk35_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_363, type, esk36_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_364, type, esk37_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_365, type, esk38_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_366, type, esk39_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_367, type, esk40_2: list_mat_set_complex > list_mat_set_complex > nat).
1.05/1.24	thf(decl_368, type, esk41_2: list_mat_set_complex > list_mat_set_complex > nat).
1.05/1.24	thf(decl_369, type, esk42_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_370, type, esk43_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_371, type, esk44_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_372, type, esk45_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_373, type, esk46_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_374, type, esk47_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_375, type, esk48_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_376, type, esk49_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_377, type, esk50_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_378, type, esk51_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_379, type, esk52_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_380, type, esk53_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_381, type, esk54_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_382, type, esk55_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_383, type, esk56_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_384, type, esk57_2: list_mat_nat > list_mat_a > nat).
1.05/1.24	thf(decl_385, type, esk58_2: list_mat_nat > list_mat_complex > nat).
1.05/1.24	thf(decl_386, type, esk59_2: list_mat_a > list_mat_nat > nat).
1.05/1.24	thf(decl_387, type, esk60_2: list_mat_a > list_mat_complex > nat).
1.05/1.24	thf(decl_388, type, esk61_2: list_mat_complex > list_mat_nat > nat).
1.05/1.24	thf(decl_389, type, esk62_2: list_mat_complex > list_mat_a > nat).
1.05/1.24	thf(decl_390, type, esk63_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_391, type, esk64_2: list_mat_set_complex > list_mat_nat > nat).
1.05/1.24	thf(decl_392, type, esk65_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_393, type, esk66_2: list_mat_complex > list_mat_a > nat).
1.05/1.24	thf(decl_394, type, esk67_2: list_mat_a > list_mat_complex > nat).
1.05/1.24	thf(decl_395, type, esk68_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_396, type, esk69_2: list_mat_nat > list_mat_nat > nat).
1.05/1.24	thf(decl_397, type, esk70_2: list_mat_nat > list_mat_a > nat).
1.05/1.24	thf(decl_398, type, esk71_2: list_mat_nat > list_mat_complex > nat).
1.05/1.24	thf(decl_399, type, esk72_2: list_mat_a > list_mat_nat > nat).
1.05/1.24	thf(decl_400, type, esk73_2: list_mat_complex > list_mat_nat > nat).
1.05/1.24	thf(decl_401, type, esk74_2: list_mat_set_complex > list_mat_nat > nat).
1.05/1.24	thf(decl_402, type, esk75_3: mat_a > mat_a > mat_a > nat).
1.05/1.24	thf(decl_403, type, esk76_3: mat_complex > mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_404, type, esk77_1: list_mat_nat > nat).
1.05/1.24	thf(decl_405, type, esk78_1: list_mat_set_complex > nat).
1.05/1.24	thf(decl_406, type, esk79_1: list_mat_complex > nat).
1.05/1.24	thf(decl_407, type, esk80_1: list_mat_a > nat).
1.05/1.24	thf(decl_408, type, esk81_2: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > nat).
1.05/1.24	thf(decl_409, type, esk82_2: list_P2678535509005046162_mat_a > list_P2678535509005046162_mat_a > nat).
1.05/1.24	thf(decl_410, type, esk83_2: list_complex > list_complex > nat).
1.05/1.24	thf(decl_411, type, esk84_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_412, type, esk85_2: list_nat > list_nat > nat).
1.05/1.24	thf(decl_413, type, esk86_2: list_a > list_a > nat).
1.05/1.24	thf(decl_414, type, esk87_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_415, type, esk88_2: nat > (nat > product_prod_nat_nat > $o) > nat).
1.05/1.24	thf(decl_416, type, esk89_2: nat > (nat > product_prod_nat_nat > $o) > list_P6011104703257516679at_nat).
1.05/1.24	thf(decl_417, type, esk90_3: nat > (nat > product_prod_nat_nat > $o) > list_P6011104703257516679at_nat > nat).
1.05/1.24	thf(decl_418, type, esk91_3: nat > (nat > product_prod_nat_nat > $o) > nat > product_prod_nat_nat).
1.05/1.24	thf(decl_419, type, esk92_2: nat > (nat > produc6615137861182262924_mat_a > $o) > nat).
1.05/1.24	thf(decl_420, type, esk93_2: nat > (nat > produc6615137861182262924_mat_a > $o) > list_P2678535509005046162_mat_a).
1.05/1.24	thf(decl_421, type, esk94_3: nat > (nat > produc6615137861182262924_mat_a > $o) > list_P2678535509005046162_mat_a > nat).
1.05/1.24	thf(decl_422, type, esk95_3: nat > (nat > produc6615137861182262924_mat_a > $o) > nat > produc6615137861182262924_mat_a).
1.05/1.24	thf(decl_423, type, esk96_2: nat > (nat > complex > $o) > nat).
1.05/1.24	thf(decl_424, type, esk97_2: nat > (nat > complex > $o) > list_complex).
1.05/1.24	thf(decl_425, type, esk98_3: nat > (nat > complex > $o) > list_complex > nat).
1.05/1.24	thf(decl_426, type, esk99_3: nat > (nat > complex > $o) > nat > complex).
1.05/1.24	thf(decl_427, type, esk100_2: nat > (nat > mat_complex > $o) > nat).
1.05/1.24	thf(decl_428, type, esk101_2: nat > (nat > mat_complex > $o) > list_mat_complex).
1.05/1.24	thf(decl_429, type, esk102_3: nat > (nat > mat_complex > $o) > list_mat_complex > nat).
1.05/1.24	thf(decl_430, type, esk103_3: nat > (nat > mat_complex > $o) > nat > mat_complex).
1.05/1.24	thf(decl_431, type, esk104_2: nat > (nat > nat > $o) > nat).
1.05/1.24	thf(decl_432, type, esk105_2: nat > (nat > nat > $o) > list_nat).
1.05/1.24	thf(decl_433, type, esk106_3: nat > (nat > nat > $o) > list_nat > nat).
1.05/1.24	thf(decl_434, type, esk107_3: nat > (nat > nat > $o) > nat > nat).
1.05/1.24	thf(decl_435, type, esk108_2: nat > (nat > a > $o) > nat).
1.05/1.24	thf(decl_436, type, esk109_2: nat > (nat > a > $o) > list_a).
1.05/1.24	thf(decl_437, type, esk110_3: nat > (nat > a > $o) > list_a > nat).
1.05/1.24	thf(decl_438, type, esk111_3: nat > (nat > a > $o) > nat > a).
1.05/1.24	thf(decl_439, type, esk112_2: nat > (nat > mat_a > $o) > nat).
1.05/1.24	thf(decl_440, type, esk113_2: nat > (nat > mat_a > $o) > list_mat_a).
1.05/1.24	thf(decl_441, type, esk114_3: nat > (nat > mat_a > $o) > list_mat_a > nat).
1.05/1.24	thf(decl_442, type, esk115_3: nat > (nat > mat_a > $o) > nat > mat_a).
1.05/1.24	thf(decl_443, type, esk116_2: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > nat).
1.05/1.24	thf(decl_444, type, esk117_2: list_P2678535509005046162_mat_a > list_P2678535509005046162_mat_a > nat).
1.05/1.24	thf(decl_445, type, esk118_2: list_complex > list_complex > nat).
1.05/1.24	thf(decl_446, type, esk119_2: list_mat_complex > list_mat_complex > nat).
1.05/1.24	thf(decl_447, type, esk120_2: list_nat > list_nat > nat).
1.05/1.24	thf(decl_448, type, esk121_2: list_a > list_a > nat).
1.05/1.24	thf(decl_449, type, esk122_2: list_mat_a > list_mat_a > nat).
1.05/1.24	thf(decl_450, type, esk123_2: mat_mat_complex > mat_mat_mat_complex > nat).
1.05/1.24	thf(decl_451, type, esk124_2: mat_mat_complex > mat_mat_mat_complex > nat).
1.05/1.24	thf(decl_452, type, esk125_2: mat_mat_a > mat_mat_mat_a > nat).
1.05/1.24	thf(decl_453, type, esk126_2: mat_mat_a > mat_mat_mat_a > nat).
1.05/1.24	thf(decl_454, type, esk127_2: mat_nat > mat_mat_nat > nat).
1.05/1.24	thf(decl_455, type, esk128_2: mat_nat > mat_mat_nat > nat).
1.05/1.24	thf(decl_456, type, esk129_2: nat > mat_nat > nat).
1.05/1.24	thf(decl_457, type, esk130_2: nat > mat_nat > nat).
1.05/1.24	thf(decl_458, type, esk131_2: set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_459, type, esk132_2: set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_460, type, esk133_2: mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_461, type, esk134_2: mat_a > mat_mat_a > nat).
1.05/1.24	thf(decl_462, type, esk135_2: mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_463, type, esk136_2: mat_complex > mat_mat_complex > nat).
1.05/1.24	thf(decl_464, type, esk137_2: a > mat_a > nat).
1.05/1.24	thf(decl_465, type, esk138_2: a > mat_a > nat).
1.05/1.24	thf(decl_466, type, esk139_2: complex > mat_complex > nat).
1.05/1.24	thf(decl_467, type, esk140_2: complex > mat_complex > nat).
1.05/1.24	thf(decl_468, type, esk141_1: nat > list_P2678535509005046162_mat_a).
1.05/1.24	thf(decl_469, type, esk142_1: nat > list_complex).
1.05/1.24	thf(decl_470, type, esk143_1: nat > list_mat_complex).
1.05/1.24	thf(decl_471, type, esk144_1: nat > list_nat).
1.05/1.24	thf(decl_472, type, esk145_1: nat > list_a).
1.05/1.24	thf(decl_473, type, esk146_1: nat > list_mat_a).
1.05/1.24	thf(decl_474, type, esk147_1: (list_P2678535509005046162_mat_a > $o) > list_P2678535509005046162_mat_a).
1.05/1.24	thf(decl_475, type, esk148_1: (list_complex > $o) > list_complex).
1.05/1.24	thf(decl_476, type, esk149_1: (list_mat_complex > $o) > list_mat_complex).
1.05/1.24	thf(decl_477, type, esk150_1: (list_nat > $o) > list_nat).
1.05/1.24	thf(decl_478, type, esk151_1: (list_a > $o) > list_a).
1.05/1.24	thf(decl_479, type, esk152_1: (list_mat_a > $o) > list_mat_a).
1.05/1.24	thf(decl_480, type, esk153_1: mat_set_complex > nat).
1.05/1.24	thf(decl_481, type, esk154_1: mat_set_complex > nat).
1.05/1.24	thf(decl_482, type, esk155_1: mat_Pr3994417008679617630at_nat > nat).
1.05/1.24	thf(decl_483, type, esk156_1: mat_Pr3994417008679617630at_nat > nat).
1.05/1.24	thf(decl_484, type, esk157_1: mat_a > nat).
1.05/1.24	thf(decl_485, type, esk158_1: mat_a > nat).
1.05/1.24	thf(decl_486, type, esk159_1: mat_complex > nat).
1.05/1.24	thf(decl_487, type, esk160_1: mat_complex > nat).
1.05/1.24	thf(decl_488, type, esk161_1: mat_nat > nat).
1.05/1.24	thf(decl_489, type, esk162_1: mat_nat > nat).
1.05/1.24	thf(decl_490, type, esk163_2: nat > nat > nat).
1.05/1.24	thf(decl_491, type, esk164_2: nat > nat > nat).
1.05/1.24	thf(decl_492, type, esk165_1: (nat > $o) > nat).
1.05/1.24	thf(decl_493, type, esk166_1: (nat > $o) > nat).
1.05/1.24	thf(decl_494, type, esk167_1: (nat > $o) > nat).
1.05/1.24	thf(decl_495, type, esk168_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_496, type, esk169_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_497, type, esk170_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_498, type, esk171_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_499, type, esk172_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_500, type, esk173_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_501, type, esk174_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_502, type, esk175_3: (nat > $o) > nat > nat > nat).
1.05/1.24	thf(decl_503, type, esk176_3: (nat > $o) > nat > nat > nat).
1.05/1.24	thf(decl_504, type, esk177_1: (product_prod_nat_nat > $o) > nat).
1.05/1.24	thf(decl_505, type, esk178_1: (product_prod_nat_nat > $o) > nat).
1.05/1.24	thf(decl_506, type, esk179_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_507, type, esk180_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_508, type, esk181_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_509, type, esk182_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_510, type, esk183_1: (product_prod_nat_nat > $o) > nat).
1.05/1.24	thf(decl_511, type, esk184_1: (product_prod_nat_nat > $o) > nat).
1.05/1.24	thf(decl_512, type, esk185_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_513, type, esk186_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_514, type, esk187_3: (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_515, type, esk188_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_516, type, esk189_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.05/1.24	thf(decl_517, type, esk190_3: (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_518, type, esk191_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_519, type, esk192_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.05/1.24	thf(decl_520, type, esk193_1: nat > nat).
1.05/1.24	thf(decl_521, type, esk194_1: nat > nat).
1.05/1.24	thf(decl_522, type, esk195_1: nat > nat).
1.05/1.24	thf(decl_523, type, esk196_1: nat > nat).
1.05/1.24	thf(decl_524, type, esk197_3: (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_525, type, esk198_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_526, type, esk199_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.05/1.24	thf(decl_527, type, esk200_3: (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_528, type, esk201_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.05/1.24	thf(decl_529, type, esk202_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.05/1.24	thf(decl_530, type, esk203_1: nat > nat).
1.05/1.24	thf(decl_531, type, esk204_1: nat > nat).
1.05/1.24	thf(decl_532, type, esk205_1: nat > nat).
1.05/1.24	thf(decl_533, type, esk206_1: nat > nat).
1.05/1.24	thf(decl_534, type, esk207_1: mat_a > nat).
1.05/1.24	thf(decl_535, type, esk208_2: mat_a > mat_a > nat).
1.05/1.24	thf(decl_536, type, esk209_1: mat_complex > nat).
1.05/1.24	thf(decl_537, type, esk210_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_538, type, esk211_1: mat_a > nat).
1.05/1.24	thf(decl_539, type, esk212_1: mat_a > nat).
1.05/1.24	thf(decl_540, type, esk213_1: mat_complex > nat).
1.05/1.24	thf(decl_541, type, esk214_1: mat_complex > nat).
1.05/1.24	thf(decl_542, type, esk215_1: mat_nat > nat).
1.05/1.24	thf(decl_543, type, esk216_1: mat_nat > nat).
1.05/1.24	thf(decl_544, type, esk217_1: mat_a > nat).
1.05/1.24	thf(decl_545, type, esk218_1: mat_a > nat).
1.05/1.24	thf(decl_546, type, esk219_1: mat_complex > nat).
1.05/1.24	thf(decl_547, type, esk220_1: mat_complex > nat).
1.05/1.24	thf(decl_548, type, esk221_1: mat_nat > nat).
1.05/1.24	thf(decl_549, type, esk222_1: mat_nat > nat).
1.05/1.24	thf(decl_550, type, esk223_3: mat_a > nat > nat > mat_a).
1.05/1.24	thf(decl_551, type, esk224_3: mat_complex > nat > nat > mat_complex).
1.05/1.24	thf(decl_552, type, esk225_1: nat > nat).
1.05/1.24	thf(decl_553, type, esk226_1: nat > nat).
1.05/1.24	thf(decl_554, type, esk227_1: nat > nat).
1.05/1.24	thf(decl_555, type, esk228_1: nat > nat).
1.05/1.24	thf(decl_556, type, esk229_2: nat > nat > nat).
1.05/1.24	thf(decl_557, type, esk230_2: nat > nat > nat).
1.05/1.24	thf(decl_558, type, esk231_1: (nat > nat) > nat).
1.05/1.24	thf(decl_559, type, esk232_1: (nat > nat) > nat).
1.05/1.24	thf(decl_560, type, esk233_2: (nat > $o) > nat > nat).
1.05/1.24	thf(decl_561, type, esk234_1: (nat > nat) > nat).
1.05/1.24	thf(decl_562, type, esk235_1: (nat > nat) > nat).
1.05/1.24	thf(decl_563, type, esk236_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_564, type, esk237_2: mat_complex > mat_complex > nat).
1.05/1.24	thf(decl_565, type, esk238_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_566, type, esk239_2: mat_nat > mat_nat > nat).
1.05/1.24	thf(decl_567, type, esk240_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_568, type, esk241_2: mat_set_complex > mat_set_complex > nat).
1.05/1.24	thf(decl_569, type, esk242_1: mat_complex > nat).
1.05/1.24	thf(decl_570, type, esk243_4: mat_a > nat > mat_a > nat > nat).
1.05/1.24	thf(decl_571, type, esk244_4: mat_a > nat > mat_a > nat > nat).
1.05/1.24	thf(decl_572, type, esk245_4: mat_complex > nat > mat_complex > nat > nat).
1.05/1.24	thf(decl_573, type, esk246_4: mat_complex > nat > mat_complex > nat > nat).
1.05/1.24	thf(decl_574, type, esk247_4: mat_a > nat > mat_a > nat > nat).
1.05/1.24	thf(decl_575, type, esk248_4: mat_a > nat > mat_a > nat > nat).
1.05/1.24	thf(decl_576, type, esk249_4: mat_complex > nat > mat_complex > nat > nat).
1.05/1.24	thf(decl_577, type, esk250_4: mat_complex > nat > mat_complex > nat > nat).
1.05/1.24	thf(decl_578, type, esk251_2: mat_complex > nat > mat_complex).
1.05/1.24	thf(decl_579, type, esk252_2: mat_complex > nat > mat_complex).
1.05/1.24	thf(decl_580, type, esk253_1: mat_complex > nat).
1.05/1.24	thf(decl_581, type, esk254_2: nat > (nat > $o) > nat).
1.05/1.24	thf(decl_582, type, esk255_2: nat > (nat > $o) > nat).
1.05/1.24	thf(decl_583, type, esk256_2: nat > (nat > nat > $o) > nat).
1.05/1.24	thf(decl_584, type, esk257_2: nat > (nat > nat > $o) > nat).
1.05/1.24	thf(decl_585, type, esk258_3: nat > (nat > nat > $o) > nat > nat).
1.05/1.24	thf(decl_586, type, esk259_3: a > set_a > set_a > a).
1.05/1.24	thf(decl_587, type, esk260_3: a > set_a > set_a > a).
1.05/1.24	thf(decl_588, type, esk261_3: complex > set_complex > set_complex > complex).
1.05/1.24	thf(decl_589, type, esk262_3: complex > set_complex > set_complex > complex).
1.05/1.24	thf(decl_590, type, esk263_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.05/1.24	thf(decl_591, type, esk264_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.05/1.24	thf(decl_592, type, esk265_3: nat > set_nat > set_nat > nat).
1.05/1.24	thf(decl_593, type, esk266_3: nat > set_nat > set_nat > nat).
1.05/1.24	thf(decl_594, type, esk267_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex).
1.05/1.24	thf(decl_595, type, esk268_3: mat_complex > set_mat_complex > set_mat_complex > mat_complex).
1.05/1.24	thf(decl_596, type, esk269_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_597, type, esk270_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_598, type, esk271_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_599, type, esk272_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_600, type, esk273_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_601, type, esk274_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_602, type, esk275_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_603, type, esk276_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_604, type, esk277_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_605, type, esk278_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_606, type, esk279_4: nat > nat > (nat > set_complex) > set_complex > nat).
1.05/1.24	thf(decl_607, type, esk280_4: nat > nat > (nat > set_complex) > set_complex > nat).
1.05/1.24	thf(decl_608, type, esk281_4: set_complex > set_complex > (set_complex > nat) > nat > set_complex).
1.05/1.24	thf(decl_609, type, esk282_4: set_complex > set_complex > (set_complex > nat) > nat > set_complex).
1.05/1.24	thf(decl_610, type, esk283_4: set_complex > set_complex > (set_complex > set_complex) > set_complex > set_complex).
1.05/1.24	thf(decl_611, type, esk284_4: set_complex > set_complex > (set_complex > set_complex) > set_complex > set_complex).
1.05/1.24	thf(decl_612, type, esk285_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_613, type, esk286_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_614, type, esk287_4: set_complex > (nat > set_complex) > nat > nat > nat).
1.05/1.24	thf(decl_615, type, esk288_4: set_complex > (nat > set_complex) > nat > nat > nat).
1.05/1.24	thf(decl_616, type, esk289_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_617, type, esk290_4: nat > nat > (nat > nat) > nat > nat).
1.05/1.24	thf(decl_618, type, esk291_4: nat > nat > (nat > set_complex) > set_complex > nat).
1.05/1.24	thf(decl_619, type, esk292_4: nat > nat > (nat > set_complex) > set_complex > nat).
1.05/1.24	thf(decl_620, type, esk293_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_621, type, esk294_4: nat > (nat > nat) > nat > nat > nat).
1.05/1.24	thf(decl_622, type, esk295_4: set_complex > (nat > set_complex) > nat > nat > nat).
1.05/1.24	thf(decl_623, type, esk296_4: set_complex > (nat > set_complex) > nat > nat > nat).
1.05/1.24	thf(decl_624, type, esk297_4: nat > (set_complex > nat) > set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_625, type, esk298_4: nat > (set_complex > nat) > set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_626, type, esk299_4: set_complex > (set_complex > set_complex) > set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_627, type, esk300_4: set_complex > (set_complex > set_complex) > set_complex > set_complex > set_complex).
1.05/1.24	thf(decl_628, type, esk301_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_629, type, esk302_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_630, type, esk303_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_631, type, esk304_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_632, type, esk305_1: (nat > nat > $o) > nat).
1.05/1.24	thf(decl_633, type, esk306_1: (nat > $o) > nat).
1.05/1.24	thf(decl_634, type, esk307_2: (nat > $o) > nat > nat).
1.05/1.24	thf(decl_635, type, esk308_1: (nat > $o) > nat).
1.05/1.24	thf(decl_636, type, esk309_1: (nat > $o) > nat).
1.05/1.24	thf(decl_637, type, esk310_1: nat > nat).
1.05/1.24	thf(decl_638, type, epred7_1: set_nat > nat > $o).
1.05/1.24	thf(decl_639, type, epred8_1: set_mat_mat_complex > mat_mat_complex > $o).
1.05/1.24	thf(decl_640, type, epred9_1: set_mat_mat_a > mat_mat_a > $o).
1.05/1.24	thf(decl_641, type, epred10_1: set_mat_nat > mat_nat > $o).
1.05/1.24	thf(decl_642, type, epred11_1: set_mat_a > mat_a > $o).
1.05/1.24	thf(decl_643, type, epred12_1: set_a > a > $o).
1.05/1.24	thf(decl_644, type, epred13_1: set_mat_complex > mat_complex > $o).
1.05/1.24	thf(decl_645, type, epred14_1: set_complex > complex > $o).
1.05/1.24	thf(decl_646, type, esk311_1: mat_complex > mat_complex).
1.05/1.24	thf(decl_647, type, esk312_1: mat_a > mat_a).
1.05/1.24	thf(decl_648, type, esk313_2: nat > nat > nat).
1.05/1.24	thf(decl_649, type, esk314_2: nat > nat > nat).
1.05/1.24	thf(decl_650, type, esk315_1: product_prod_nat_nat > nat).
1.05/1.24	thf(decl_651, type, esk316_1: product_prod_nat_nat > nat).
1.05/1.24	thf(fact_30_real__diag__decompD_I1_J, axiom, ![X1:mat_a, X2:mat_a, X3:mat_a]:(((spectr3403749184330357196comp_a @ X1 @ X2 @ X3)=>(spectr4894841263502123494diag_a @ X1 @ X2 @ X3))), file('/export/starexec/sandbox2/tmp/tmp.HLu7Jzjejt/Vampire---4.8_12644', fact_30_real__diag__decompD_I1_J)).
1.05/1.24	thf(fact_5_assms_I2_J, axiom, (spectr3403749184330357196comp_a @ a2 @ b @ u), file('/export/starexec/sandbox2/tmp/tmp.HLu7Jzjejt/Vampire---4.8_12644', fact_5_assms_I2_J)).
1.05/1.24	thf(fact_7_assms_I3_J, axiom, ((b)=(diag_block_mat_a @ bl)), file('/export/starexec/sandbox2/tmp/tmp.HLu7Jzjejt/Vampire---4.8_12644', fact_7_assms_I3_J)).
1.05/1.24	thf(conj_0, conjecture, (diagonal_mat_a @ b), file('/export/starexec/sandbox2/tmp/tmp.HLu7Jzjejt/Vampire---4.8_12644', conj_0)).
1.05/1.24	thf(fact_0_unitary__diagD_I2_J, axiom, ![X1:mat_a, X2:mat_a, X3:mat_a]:(((spectr4894841263502123494diag_a @ X1 @ X2 @ X3)=>(diagonal_mat_a @ X2))), file('/export/starexec/sandbox2/tmp/tmp.HLu7Jzjejt/Vampire---4.8_12644', fact_0_unitary__diagD_I2_J)).
1.05/1.24	thf(c_0_5, plain, ![X5766:mat_a, X5767:mat_a, X5768:mat_a]:((~(spectr3403749184330357196comp_a @ X5766 @ X5767 @ X5768)|(spectr4894841263502123494diag_a @ X5766 @ X5767 @ X5768))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_30_real__diag__decompD_I1_J])])).
1.05/1.24	thf(c_0_6, plain, (spectr3403749184330357196comp_a @ a2 @ b @ u), inference(split_conjunct,[status(thm)],[fact_5_assms_I2_J])).
1.05/1.24	thf(c_0_7, plain, ((b)=(diag_block_mat_a @ bl)), inference(split_conjunct,[status(thm)],[fact_7_assms_I3_J])).
1.05/1.24	thf(c_0_8, negated_conjecture, ~(diagonal_mat_a @ b), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
1.05/1.24	thf(c_0_9, plain, ![X5721:mat_a, X5722:mat_a, X5723:mat_a]:((~(spectr4894841263502123494diag_a @ X5721 @ X5722 @ X5723)|(diagonal_mat_a @ X5722))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_unitary__diagD_I2_J])])).
1.05/1.24	thf(c_0_10, plain, ![X1:mat_a, X2:mat_a, X3:mat_a]:(((spectr4894841263502123494diag_a @ X1 @ X2 @ X3)|~((spectr3403749184330357196comp_a @ X1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_5])).
1.05/1.24	thf(c_0_11, plain, (spectr3403749184330357196comp_a @ a2 @ (diag_block_mat_a @ bl) @ u), inference(rw,[status(thm)],[c_0_6, c_0_7])).
1.05/1.24	thf(c_0_12, negated_conjecture, ~((diagonal_mat_a @ b)), inference(split_conjunct,[status(thm)],[c_0_8])).
1.05/1.24	thf(c_0_13, plain, ![X1:mat_a, X2:mat_a, X3:mat_a]:(((diagonal_mat_a @ X2)|~((spectr4894841263502123494diag_a @ X1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])).
1.05/1.24	thf(c_0_14, plain, (spectr4894841263502123494diag_a @ a2 @ (diag_block_mat_a @ bl) @ u), inference(spm,[status(thm)],[c_0_10, c_0_11])).
1.05/1.24	thf(c_0_15, negated_conjecture, ~((diagonal_mat_a @ (diag_block_mat_a @ bl))), inference(rw,[status(thm)],[c_0_12, c_0_7])).
1.05/1.24	thf(c_0_16, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), ['proof']).
1.05/1.24	# SZS output end CNFRefutation
1.05/1.24	# Parsed axioms                        : 1448
1.05/1.24	# Removed by relevancy pruning/SinE    : 0
1.05/1.24	# Initial clauses                      : 2215
1.05/1.24	# Removed in clause preprocessing      : 442
1.05/1.24	# Initial clauses in saturation        : 1773
1.05/1.24	# Processed clauses                    : 2235
1.05/1.24	# ...of these trivial                  : 34
1.05/1.24	# ...subsumed                          : 290
1.05/1.24	# ...remaining for further processing  : 1911
1.05/1.24	# Other redundant clauses eliminated   : 241
1.05/1.24	# Clauses deleted for lack of memory   : 0
1.05/1.24	# Backward-subsumed                    : 4
1.05/1.24	# Backward-rewritten                   : 20
1.05/1.24	# Generated clauses                    : 432
1.05/1.24	# ...of the previous two non-redundant : 317
1.05/1.24	# ...aggressively subsumed             : 0
1.05/1.24	# Contextual simplify-reflections      : 4
1.05/1.24	# Paramodulations                      : 194
1.05/1.24	# Factorizations                       : 0
1.05/1.24	# NegExts                              : 0
1.05/1.24	# Equation resolutions                 : 249
1.05/1.24	# Propositional unsat checks           : 0
1.05/1.24	#    Propositional check models        : 0
1.05/1.24	#    Propositional check unsatisfiable : 0
1.05/1.24	#    Propositional clauses             : 0
1.05/1.24	#    Propositional clauses after purity: 0
1.05/1.24	#    Propositional unsat core size     : 0
1.05/1.24	#    Propositional preprocessing time  : 0.000
1.05/1.24	#    Propositional encoding time       : 0.000
1.05/1.24	#    Propositional solver time         : 0.000
1.05/1.24	#    Success case prop preproc time    : 0.000
1.05/1.24	#    Success case prop encoding time   : 0.000
1.05/1.24	#    Success case prop solver time     : 0.000
1.05/1.24	# Current number of processed clauses  : 252
1.05/1.24	#    Positive orientable unit clauses  : 112
1.05/1.24	#    Positive unorientable unit clauses: 0
1.05/1.24	#    Negative unit clauses             : 23
1.05/1.24	#    Non-unit-clauses                  : 117
1.05/1.24	# Current number of unprocessed clauses: 1299
1.05/1.24	# ...number of literals in the above   : 4633
1.05/1.24	# Current number of archived formulas  : 0
1.05/1.24	# Current number of archived clauses   : 1479
1.05/1.24	# Clause-clause subsumption calls (NU) : 479727
1.05/1.24	# Rec. Clause-clause subsumption calls : 123931
1.05/1.24	# Non-unit clause-clause subsumptions  : 236
1.05/1.24	# Unit Clause-clause subsumption calls : 5246
1.05/1.24	# Rewrite failures with RHS unbound    : 0
1.05/1.24	# BW rewrite match attempts            : 57
1.05/1.24	# BW rewrite match successes           : 40
1.05/1.24	# Condensation attempts                : 2235
1.05/1.24	# Condensation successes               : 6
1.05/1.24	# Termbank termtop insertions          : 280992
1.05/1.24	
1.05/1.24	# -------------------------------------------------
1.05/1.24	# User time                : 0.502 s
1.05/1.24	# System time              : 0.030 s
1.05/1.24	# Total time               : 0.532 s
1.05/1.24	# Maximum resident set size: 13864 pages
1.05/1.24	
1.05/1.24	# -------------------------------------------------
1.05/1.24	# User time                : 0.557 s
1.05/1.24	# System time              : 0.038 s
1.05/1.24	# Total time               : 0.596 s
1.05/1.24	# Maximum resident set size: 5160 pages
1.05/1.24	EOF