0.11/0.26	% Problem    : SLH0334^1 : TPTP v8.2.0. Released v8.2.0.
0.11/0.27	% Command    : run_E %s %d THM
0.28/0.48	% Computer : n016.cluster.edu
0.28/0.48	% Model    : x86_64 x86_64
0.28/0.48	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.28/0.48	% Memory   : 8042.1875MB
0.28/0.48	% OS       : Linux 3.10.0-693.el7.x86_64
0.28/0.48	% CPULimit   : 30
0.28/0.48	% WCLimit    : 30
0.28/0.48	% DateTime   : Mon Jul  3 08:45:19 EDT 2023
0.28/0.48	% CPUTime    : 
0.45/0.60	The problem SPC is TH0_THM_EQU_NAR
0.45/0.61	Running higher-order on 1 cores theorem proving
0.45/0.61	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.odZjD7BQ7E/Vampire---4.8_31169
0.45/0.61	# Version: 3.0pre003-ho
1.27/1.46	# partial match(1): HSLMSMSMSSMNSFA
1.27/1.46	# Preprocessing class: HMLMSMSMSSMNSFA.
1.27/1.46	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.27/1.46	# Starting ho_unfolding_3 with 30s (1) cores
1.27/1.46	# ho_unfolding_3 with pid 31348 completed with status 0
1.27/1.46	# Result found by ho_unfolding_3
1.27/1.46	# partial match(1): HSLMSMSMSSMNSFA
1.27/1.46	# Preprocessing class: HMLMSMSMSSMNSFA.
1.27/1.46	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.27/1.46	# Starting ho_unfolding_3 with 30s (1) cores
1.27/1.46	# No SInE strategy applied
1.27/1.46	# Search class: HGHSM-SSLM32-DSFFFFBN
1.27/1.46	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.27/1.46	# Starting sh3 with 14s (1) cores
1.27/1.46	# sh3 with pid 31349 completed with status 0
1.27/1.46	# Result found by sh3
1.27/1.46	# partial match(1): HSLMSMSMSSMNSFA
1.27/1.46	# Preprocessing class: HMLMSMSMSSMNSFA.
1.27/1.46	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.27/1.46	# Starting ho_unfolding_3 with 30s (1) cores
1.27/1.46	# No SInE strategy applied
1.27/1.46	# Search class: HGHSM-SSLM32-DSFFFFBN
1.27/1.46	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.27/1.46	# Starting sh3 with 14s (1) cores
1.27/1.46	# Preprocessing time       : 0.027 s
1.27/1.46	# Presaturation interreduction done
1.27/1.46	
1.27/1.46	# Proof found!
1.27/1.46	# SZS status Theorem
1.27/1.46	# SZS output start CNFRefutation
1.27/1.46	thf(decl_22, type, column896436094548437152omplex: complex > nat > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_23, type, column_mat_addcol_a: a > nat > nat > mat_a > mat_a).
1.27/1.46	thf(decl_24, type, column4410001698458707789omplex: nat > complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_25, type, column_mat_multcol_a: nat > a > mat_a > mat_a).
1.27/1.46	thf(decl_26, type, column217142795681433722omplex: complex > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_27, type, column7210694702871944754_row_a: a > nat > mat_a > mat_a).
1.27/1.46	thf(decl_28, type, column7264791363093833182omplex: mat_complex > nat > mat_complex).
1.27/1.46	thf(decl_29, type, column2924081423933032910ront_a: mat_a > nat > mat_a).
1.27/1.46	thf(decl_30, type, column7161609239796038556omplex: nat > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_31, type, column5129559316938501008rows_a: nat > nat > mat_a > mat_a).
1.27/1.46	thf(decl_32, type, column4342047067757093060omplex: mat_complex > nat > mat_complex).
1.27/1.46	thf(decl_33, type, column973622294476583016ront_a: mat_a > nat > mat_a).
1.27/1.46	thf(decl_34, type, comple5220265106149225959erator: mat_complex > $o).
1.27/1.46	thf(decl_35, type, comple8306762464034002205omplex: mat_complex > $o).
1.27/1.46	thf(decl_36, type, complex_hermitian_a: mat_a > $o).
1.27/1.46	thf(decl_37, type, comple1169154605998056944erator: mat_complex > $o).
1.27/1.46	thf(decl_38, type, comple3184165445352484367omplex: mat_complex > complex).
1.27/1.46	thf(decl_39, type, complex_trace_a: mat_a > a).
1.27/1.46	thf(decl_40, type, comple6660659447773130958omplex: mat_complex > $o).
1.27/1.46	thf(decl_41, type, complex_unitary_a: mat_a > $o).
1.27/1.46	thf(decl_42, type, adj_mat_complex: mat_complex > mat_complex).
1.27/1.46	thf(decl_43, type, adj_mat_a: mat_a > mat_a).
1.27/1.46	thf(decl_44, type, det_complex: mat_complex > complex).
1.27/1.46	thf(decl_45, type, det_a: mat_a > a).
1.27/1.46	thf(decl_46, type, mat_delete_complex: mat_complex > nat > nat > mat_complex).
1.27/1.46	thf(decl_47, type, mat_delete_a: mat_a > nat > nat > mat_a).
1.27/1.46	thf(decl_48, type, comm_s2602460028002588243omplex: complex > nat > complex).
1.27/1.46	thf(decl_49, type, comm_s4663373288045622133er_nat: nat > nat > nat).
1.27/1.46	thf(decl_50, type, invers8013647133539491842omplex: complex > complex).
1.27/1.46	thf(decl_51, type, inverse_inverse_a: a > a).
1.27/1.46	thf(decl_52, type, gauss_947198734564870628omplex: nat > complex > nat > nat > mat_complex).
1.27/1.46	thf(decl_53, type, gauss_6496870380031412486at_nat: nat > nat > nat > nat > mat_nat).
1.27/1.46	thf(decl_54, type, gauss_8159914756388622152_mat_a: nat > a > nat > nat > mat_a).
1.27/1.46	thf(decl_55, type, gauss_4244865067341541924omplex: mat_complex > mat_complex).
1.27/1.46	thf(decl_56, type, gauss_4684855476144371464ngle_a: mat_a > mat_a).
1.27/1.46	thf(decl_57, type, gauss_5252963565656066424omplex: (complex > complex > complex) > (complex > complex > complex) > complex > nat > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_58, type, gauss_8885043348566651034en_nat: (nat > nat > nat) > (nat > nat > nat) > nat > nat > nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_59, type, gauss_3441994962245461172_gen_a: (a > a > a) > (a > a > a) > a > nat > nat > mat_a > mat_a).
1.27/1.46	thf(decl_60, type, gauss_2324787009747932227omplex: (complex > complex > complex) > nat > complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_61, type, gauss_2409696420326117733en_nat: (nat > nat > nat) > nat > nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_62, type, gauss_5154200947219177641_gen_a: (a > a > a) > nat > a > mat_a > mat_a).
1.27/1.46	thf(decl_63, type, gauss_6868829418328711927omplex: nat > nat > complex > mat_complex).
1.27/1.46	thf(decl_64, type, gauss_3195076542185637913at_nat: nat > nat > nat > mat_nat).
1.27/1.46	thf(decl_65, type, gauss_5015385051186949877_mat_a: nat > nat > a > mat_a).
1.27/1.46	thf(decl_66, type, gauss_194721375535881179omplex: mat_complex > $o).
1.27/1.46	thf(decl_67, type, gauss_5855338539171749649form_a: mat_a > $o).
1.27/1.46	thf(decl_68, type, minus_minus_complex: complex > complex > complex).
1.27/1.46	thf(decl_69, type, minus_2412168080157227406omplex: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_70, type, minus_minus_mat_a: mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_71, type, minus_minus_nat: nat > nat > nat).
1.27/1.46	thf(decl_72, type, minus_minus_a: a > a > a).
1.27/1.46	thf(decl_73, type, one_one_complex: complex).
1.27/1.46	thf(decl_74, type, one_one_nat: nat).
1.27/1.46	thf(decl_75, type, one_one_a: a).
1.27/1.46	thf(decl_76, type, plus_plus_complex: complex > complex > complex).
1.27/1.46	thf(decl_77, type, plus_p8323303612493835998omplex: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_78, type, plus_plus_mat_nat: mat_nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_79, type, plus_plus_mat_a: mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_80, type, plus_plus_nat: nat > nat > nat).
1.27/1.46	thf(decl_81, type, plus_plus_a: a > a > a).
1.27/1.46	thf(decl_82, type, times_times_complex: complex > complex > complex).
1.27/1.46	thf(decl_83, type, times_8009071140041733218omplex: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_84, type, times_times_mat_nat: mat_nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_85, type, times_times_mat_a: mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_86, type, times_times_nat: nat > nat > nat).
1.27/1.46	thf(decl_87, type, times_times_a: a > a > a).
1.27/1.46	thf(decl_88, type, zero_zero_complex: complex).
1.27/1.46	thf(decl_89, type, zero_zero_nat: nat).
1.27/1.46	thf(decl_90, type, zero_zero_a: a).
1.27/1.46	thf(decl_91, type, if_complex: $o > complex > complex > complex).
1.27/1.46	thf(decl_92, type, if_nat: $o > nat > nat > nat).
1.27/1.46	thf(decl_93, type, linear2040860143340867312axioms: nat > nat > $o).
1.27/1.46	thf(decl_94, type, linear5633924348262549461omplex: mat_complex > $o).
1.27/1.46	thf(decl_95, type, linear2821214051344812439ctor_a: mat_a > $o).
1.27/1.46	thf(decl_96, type, append_rows_complex: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_97, type, append_rows_nat: mat_nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_98, type, append_rows_a: mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_99, type, carrier_mat_complex: nat > nat > set_mat_complex).
1.27/1.46	thf(decl_100, type, carrier_mat_nat: nat > nat > set_mat_nat).
1.27/1.46	thf(decl_101, type, carrier_mat_a: nat > nat > set_mat_a).
1.27/1.46	thf(decl_102, type, comm_m3586542329073673570omplex: mat_complex > complex).
1.27/1.46	thf(decl_103, type, comm_m4056229327131402372at_nat: mat_nat > nat).
1.27/1.46	thf(decl_104, type, comm_m5291664705200495434_mat_a: mat_a > a).
1.27/1.46	thf(decl_105, type, diagonal_mat_complex: mat_complex > $o).
1.27/1.46	thf(decl_106, type, diagonal_mat_a: mat_a > $o).
1.27/1.46	thf(decl_107, type, dim_col_complex: mat_complex > nat).
1.27/1.46	thf(decl_108, type, dim_col_nat: mat_nat > nat).
1.27/1.46	thf(decl_109, type, dim_col_a: mat_a > nat).
1.27/1.46	thf(decl_110, type, dim_row_complex: mat_complex > nat).
1.27/1.46	thf(decl_111, type, dim_row_nat: mat_nat > nat).
1.27/1.46	thf(decl_112, type, dim_row_a: mat_a > nat).
1.27/1.46	thf(decl_113, type, four_b559179830521662709omplex: mat_complex > mat_complex > mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_114, type, four_block_mat_nat: mat_nat > mat_nat > mat_nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_115, type, four_block_mat_a: mat_a > mat_a > mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_116, type, invert2568027935824841882omplex: mat_complex > $o).
1.27/1.46	thf(decl_117, type, invertible_mat_a: mat_a > $o).
1.27/1.46	thf(decl_118, type, inverts_mat_complex: mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_119, type, inverts_mat_nat: mat_nat > mat_nat > $o).
1.27/1.46	thf(decl_120, type, inverts_mat_a: mat_a > mat_a > $o).
1.27/1.46	thf(decl_121, type, one_mat_complex: nat > mat_complex).
1.27/1.46	thf(decl_122, type, one_mat_nat: nat > mat_nat).
1.27/1.46	thf(decl_123, type, one_mat_a: nat > mat_a).
1.27/1.46	thf(decl_124, type, similar_mat_complex: mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_125, type, similar_mat_a: mat_a > mat_a > $o).
1.27/1.46	thf(decl_126, type, simila5774310414453981135omplex: mat_complex > mat_complex > mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_127, type, similar_mat_wit_a: mat_a > mat_a > mat_a > mat_a > $o).
1.27/1.46	thf(decl_128, type, smult_mat_complex: complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_129, type, smult_mat_nat: nat > mat_nat > mat_nat).
1.27/1.46	thf(decl_130, type, smult_mat_a: a > mat_a > mat_a).
1.27/1.46	thf(decl_131, type, square_mat_complex: mat_complex > $o).
1.27/1.46	thf(decl_132, type, square_mat_a: mat_a > $o).
1.27/1.46	thf(decl_133, type, upper_4850907204721561915omplex: mat_complex > $o).
1.27/1.46	thf(decl_134, type, upper_triangular_a: mat_a > $o).
1.27/1.46	thf(decl_135, type, zero_mat_complex: nat > nat > mat_complex).
1.27/1.46	thf(decl_136, type, zero_mat_nat: nat > nat > mat_nat).
1.27/1.46	thf(decl_137, type, zero_mat_a: nat > nat > mat_a).
1.27/1.46	thf(decl_138, type, ord_less_complex: complex > complex > $o).
1.27/1.46	thf(decl_139, type, ord_less_nat: nat > nat > $o).
1.27/1.46	thf(decl_140, type, ord_less_eq_complex: complex > complex > $o).
1.27/1.46	thf(decl_141, type, ord_less_eq_nat: nat > nat > $o).
1.27/1.46	thf(decl_142, type, projec3470689467825365843llapse: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_143, type, projec5943904436471448624omplex: mat_complex > mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_144, type, projec8360710381328234318ensity: nat > mat_complex).
1.27/1.46	thf(decl_145, type, divide1717551699836669952omplex: complex > complex > complex).
1.27/1.46	thf(decl_146, type, divide_divide_nat: nat > nat > nat).
1.27/1.46	thf(decl_147, type, divide_divide_a: a > a > a).
1.27/1.46	thf(decl_148, type, schur_549222400177443379omplex: mat_complex > $o).
1.27/1.46	thf(decl_149, type, schur_4042290226164342457_mat_a: mat_a > $o).
1.27/1.46	thf(decl_150, type, schur_5982229384592763574omplex: mat_complex > mat_complex).
1.27/1.46	thf(decl_151, type, schur_mat_adjoint_a: mat_a > mat_a).
1.27/1.46	thf(decl_152, type, collect_mat_complex: (mat_complex > $o) > set_mat_complex).
1.27/1.46	thf(decl_153, type, collect_mat_nat: (mat_nat > $o) > set_mat_nat).
1.27/1.46	thf(decl_154, type, collect_mat_a: (mat_a > $o) > set_mat_a).
1.27/1.46	thf(decl_155, type, spectr5699176650994449695omplex: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_156, type, spectr5828033140197310157conj_a: mat_a > mat_a > mat_a).
1.27/1.46	thf(decl_157, type, spectr5409772854192057952omplex: mat_complex > mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_158, type, spectr6340060708231679580omplex: mat_complex > mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_159, type, spectr4825054497075562704quiv_a: mat_a > mat_a > mat_a > $o).
1.27/1.46	thf(decl_160, type, spectr532731689276696518omplex: mat_complex > mat_complex > mat_complex > $o).
1.27/1.46	thf(decl_161, type, spectr4894841263502123494diag_a: mat_a > mat_a > mat_a > $o).
1.27/1.46	thf(decl_162, type, tensor_mat: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_163, type, vS_vec3284807721666986142omplex: nat > mat_complex > set_vec_complex).
1.27/1.46	thf(decl_164, type, vS_vec_row_space_a: nat > mat_a > set_vec_a).
1.27/1.46	thf(decl_165, type, member_mat_complex: mat_complex > set_mat_complex > $o).
1.27/1.46	thf(decl_166, type, member_mat_nat: mat_nat > set_mat_nat > $o).
1.27/1.46	thf(decl_167, type, member_mat_a: mat_a > set_mat_a > $o).
1.27/1.46	thf(decl_168, type, a1: mat_a).
1.27/1.46	thf(decl_169, type, a2: mat_a).
1.27/1.46	thf(decl_170, type, b1: mat_a).
1.27/1.46	thf(decl_171, type, b2: mat_a).
1.27/1.46	thf(decl_172, type, u1: mat_a).
1.27/1.46	thf(decl_173, type, u2: mat_a).
1.27/1.46	thf(decl_174, type, n: nat).
1.27/1.46	thf(decl_175, type, esk1_2: (mat_complex > $o) > (mat_complex > $o) > mat_complex).
1.27/1.46	thf(decl_176, type, esk2_2: (mat_a > $o) > (mat_a > $o) > mat_a).
1.27/1.46	thf(decl_177, type, esk3_1: (nat > nat > $o) > nat).
1.27/1.46	thf(decl_178, type, esk4_1: (nat > nat > $o) > nat).
1.27/1.46	thf(decl_179, type, esk5_1: (nat > nat > $o) > nat).
1.27/1.46	thf(decl_180, type, esk6_1: (nat > nat > $o) > nat).
1.27/1.46	thf(decl_181, type, esk7_1: (nat > nat > $o) > nat).
1.27/1.46	thf(decl_182, type, esk8_3: mat_a > nat > nat > mat_a).
1.27/1.46	thf(decl_183, type, esk9_3: mat_complex > nat > nat > mat_complex).
1.27/1.46	thf(decl_184, type, esk10_3: mat_a > nat > mat_a > mat_a).
1.27/1.46	thf(decl_185, type, esk11_3: mat_a > nat > mat_a > mat_a).
1.27/1.46	thf(decl_186, type, esk12_3: mat_complex > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_187, type, esk13_3: mat_complex > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_188, type, esk14_7: mat_a > mat_a > mat_a > mat_a > mat_a > nat > nat > mat_a).
1.27/1.46	thf(decl_189, type, esk15_7: mat_complex > mat_complex > mat_complex > mat_complex > mat_complex > nat > nat > mat_complex).
1.27/1.46	thf(decl_190, type, esk16_2: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_191, type, esk17_2: mat_complex > mat_complex > mat_complex).
1.27/1.46	thf(decl_192, type, esk18_1: (nat > $o) > nat).
1.27/1.46	thf(decl_193, type, esk19_1: (nat > $o) > nat).
1.27/1.46	thf(decl_194, type, esk20_1: (nat > $o) > nat).
1.27/1.46	thf(decl_195, type, esk21_2: mat_complex > nat > mat_complex).
1.27/1.46	thf(decl_196, type, esk22_2: mat_complex > nat > mat_complex).
1.27/1.46	thf(decl_197, type, esk23_2: nat > nat > nat).
1.27/1.46	thf(decl_198, type, esk24_2: nat > nat > nat).
1.27/1.46	thf(decl_199, type, esk25_3: (nat > $o) > nat > nat > nat).
1.27/1.46	thf(decl_200, type, esk26_3: (nat > $o) > nat > nat > nat).
1.27/1.46	thf(decl_201, type, esk27_3: mat_complex > nat > mat_complex > mat_complex).
1.27/1.46	thf(decl_202, type, esk28_2: (complex > $o) > complex > complex).
1.27/1.46	thf(decl_203, type, esk29_2: (complex > $o) > complex > complex).
1.27/1.46	thf(decl_204, type, esk30_3: (complex > $o) > complex > (complex > $o) > complex).
1.27/1.46	thf(decl_205, type, esk31_3: (complex > $o) > complex > (complex > $o) > complex).
1.27/1.46	thf(decl_206, type, esk32_2: (complex > $o) > complex > complex).
1.27/1.46	thf(decl_207, type, esk33_2: (complex > $o) > complex > complex).
1.27/1.46	thf(decl_208, type, esk34_3: (complex > $o) > complex > (complex > $o) > complex).
1.27/1.46	thf(decl_209, type, esk35_3: (complex > $o) > complex > (complex > $o) > complex).
1.27/1.46	thf(decl_210, type, esk36_3: (nat > $o) > nat > nat > nat).
1.27/1.46	thf(decl_211, type, esk37_3: (nat > $o) > nat > nat > nat).
1.27/1.46	thf(decl_212, type, esk38_2: (nat > $o) > nat > nat).
1.27/1.46	thf(decl_213, type, esk39_1: (nat > nat) > nat).
1.27/1.46	thf(decl_214, type, esk40_1: (nat > nat) > nat).
1.27/1.46	thf(decl_215, type, esk41_1: (nat > nat) > nat).
1.27/1.46	thf(decl_216, type, esk42_1: (nat > nat) > nat).
1.27/1.46	thf(decl_217, type, esk43_2: nat > nat > nat).
1.27/1.46	thf(decl_218, type, esk44_2: nat > nat > nat).
1.27/1.46	thf(decl_219, type, esk45_2: nat > nat > nat).
1.27/1.46	thf(decl_220, type, esk46_2: nat > nat > nat).
1.27/1.46	thf(decl_221, type, epred1_1: set_mat_nat > mat_nat > $o).
1.27/1.46	thf(decl_222, type, epred2_1: set_mat_a > mat_a > $o).
1.27/1.46	thf(decl_223, type, epred3_1: set_mat_complex > mat_complex > $o).
1.27/1.46	thf(fact_22_adjoint__dim__col, axiom, ![X39:mat_a]:(((dim_col_a @ (schur_mat_adjoint_a @ X39))=(dim_row_a @ X39))), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_22_adjoint__dim__col)).
1.27/1.46	thf(conj_0, conjecture, ((times_times_mat_a @ (schur_mat_adjoint_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2)) @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2))=(one_mat_a @ n)), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', conj_0)).
1.27/1.46	thf(fact_129_unitary__simps_I1_J, axiom, ![X182:mat_a, X32:nat]:(((member_mat_a @ X182 @ (carrier_mat_a @ X32 @ X32))=>((complex_unitary_a @ X182)=>((times_times_mat_a @ (schur_mat_adjoint_a @ X182) @ X182)=(one_mat_a @ X32))))), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_129_unitary__simps_I1_J)).
1.27/1.46	thf(fact_12_u, axiom, (member_mat_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2) @ (carrier_mat_a @ n @ n)), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_12_u)).
1.27/1.46	thf(fact_127_four__block__diag__unitary, axiom, ![X178:mat_a, X179:mat_a]:(((complex_unitary_a @ X178)=>((complex_unitary_a @ X179)=>(complex_unitary_a @ (four_block_mat_a @ X178 @ (zero_mat_a @ (dim_row_a @ X178) @ (dim_col_a @ X179)) @ (zero_mat_a @ (dim_row_a @ X179) @ (dim_col_a @ X178)) @ X179))))), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_127_four__block__diag__unitary)).
1.27/1.46	thf(fact_134_unitarily__equivD_I1_J, axiom, ![X189:mat_a, X190:mat_a, X159:mat_a]:(((spectr4825054497075562704quiv_a @ X189 @ X190 @ X159)=>(complex_unitary_a @ X159))), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_134_unitarily__equivD_I1_J)).
1.27/1.46	thf(fact_104_assms_I2_J, axiom, (spectr4825054497075562704quiv_a @ a2 @ b2 @ u2), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_104_assms_I2_J)).
1.27/1.46	thf(fact_103_assms_I1_J, axiom, (spectr4825054497075562704quiv_a @ a1 @ b1 @ u1), file('/export/starexec/sandbox2/tmp/tmp.odZjD7BQ7E/Vampire---4.8_31169', fact_103_assms_I1_J)).
1.27/1.46	thf(c_0_8, plain, ![X5482:mat_a]:(((dim_col_a @ (schur_mat_adjoint_a @ X5482))=(dim_row_a @ X5482))), inference(variable_rename,[status(thm)],[fact_22_adjoint__dim__col])).
1.27/1.46	thf(c_0_9, negated_conjecture, ((times_times_mat_a @ (schur_mat_adjoint_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2)) @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2))!=(one_mat_a @ n)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
1.27/1.46	thf(c_0_10, plain, ![X5782:mat_a, X5783:nat]:((~(member_mat_a @ X5782 @ (carrier_mat_a @ X5783 @ X5783))|(~(complex_unitary_a @ X5782)|((times_times_mat_a @ (schur_mat_adjoint_a @ X5782) @ X5782)=(one_mat_a @ X5783))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_unitary__simps_I1_J])])).
1.27/1.46	thf(c_0_11, plain, (member_mat_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2) @ (carrier_mat_a @ n @ n)), inference(split_conjunct,[status(thm)],[fact_12_u])).
1.27/1.46	thf(c_0_12, plain, ![X1:mat_a]:(((dim_col_a @ (schur_mat_adjoint_a @ X1))=(dim_row_a @ X1))), inference(split_conjunct,[status(thm)],[c_0_8])).
1.27/1.46	thf(c_0_13, negated_conjecture, ((times_times_mat_a @ (schur_mat_adjoint_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2)) @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_row_a @ u1) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_row_a @ u2) @ (dim_col_a @ u1)) @ u2))!=(one_mat_a @ n)), inference(split_conjunct,[status(thm)],[c_0_9])).
1.27/1.46	thf(c_0_14, plain, ![X5778:mat_a, X5779:mat_a]:((~(complex_unitary_a @ X5778)|(~(complex_unitary_a @ X5779)|(complex_unitary_a @ (four_block_mat_a @ X5778 @ (zero_mat_a @ (dim_row_a @ X5778) @ (dim_col_a @ X5779)) @ (zero_mat_a @ (dim_row_a @ X5779) @ (dim_col_a @ X5778)) @ X5779))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_127_four__block__diag__unitary])])).
1.27/1.46	thf(c_0_15, plain, ![X5793:mat_a, X5794:mat_a, X5795:mat_a]:((~(spectr4825054497075562704quiv_a @ X5793 @ X5794 @ X5795)|(complex_unitary_a @ X5795))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_134_unitarily__equivD_I1_J])])).
1.27/1.46	thf(c_0_16, plain, ![X32:nat, X1:mat_a]:((((times_times_mat_a @ (schur_mat_adjoint_a @ X1) @ X1)=(one_mat_a @ X32))|~((member_mat_a @ X1 @ (carrier_mat_a @ X32 @ X32)))|~((complex_unitary_a @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])).
1.27/1.46	thf(c_0_17, plain, (member_mat_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u1)) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u2)) @ (dim_col_a @ u1)) @ u2) @ (carrier_mat_a @ n @ n)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12]), c_0_12])).
1.27/1.46	thf(c_0_18, negated_conjecture, ((times_times_mat_a @ (schur_mat_adjoint_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u1)) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u2)) @ (dim_col_a @ u1)) @ u2)) @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u1)) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u2)) @ (dim_col_a @ u1)) @ u2))!=(one_mat_a @ n)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_12]), c_0_12]), c_0_12]), c_0_12])).
1.27/1.46	thf(c_0_19, plain, ![X1:mat_a, X2:mat_a]:(((complex_unitary_a @ (four_block_mat_a @ X1 @ (zero_mat_a @ (dim_row_a @ X1) @ (dim_col_a @ X2)) @ (zero_mat_a @ (dim_row_a @ X2) @ (dim_col_a @ X1)) @ X2))|~((complex_unitary_a @ X1))|~((complex_unitary_a @ X2)))), inference(split_conjunct,[status(thm)],[c_0_14])).
1.27/1.46	thf(c_0_20, plain, ![X1:mat_a, X2:mat_a, X13:mat_a]:(((complex_unitary_a @ X13)|~((spectr4825054497075562704quiv_a @ X1 @ X2 @ X13)))), inference(split_conjunct,[status(thm)],[c_0_15])).
1.27/1.46	thf(c_0_21, plain, (spectr4825054497075562704quiv_a @ a2 @ b2 @ u2), inference(split_conjunct,[status(thm)],[fact_104_assms_I2_J])).
1.27/1.46	thf(c_0_22, plain, (spectr4825054497075562704quiv_a @ a1 @ b1 @ u1), inference(split_conjunct,[status(thm)],[fact_103_assms_I1_J])).
1.27/1.46	thf(c_0_23, plain, ~((complex_unitary_a @ (four_block_mat_a @ u1 @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u1)) @ (dim_col_a @ u2)) @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ u2)) @ (dim_col_a @ u1)) @ u2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])).
1.27/1.46	thf(c_0_24, plain, ![X2:mat_a, X1:mat_a]:(((complex_unitary_a @ (four_block_mat_a @ X1 @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ X1)) @ (dim_col_a @ X2)) @ (zero_mat_a @ (dim_col_a @ (schur_mat_adjoint_a @ X2)) @ (dim_col_a @ X1)) @ X2))|~((complex_unitary_a @ X2))|~((complex_unitary_a @ X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_12]), c_0_12])).
1.27/1.46	thf(c_0_25, plain, (complex_unitary_a @ u2), inference(spm,[status(thm)],[c_0_20, c_0_21])).
1.27/1.46	thf(c_0_26, plain, (complex_unitary_a @ u1), inference(spm,[status(thm)],[c_0_20, c_0_22])).
1.27/1.46	thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])]), ['proof']).
1.27/1.46	# SZS output end CNFRefutation
1.27/1.46	# Parsed axioms                        : 1298
1.27/1.46	# Removed by relevancy pruning/SinE    : 0
1.27/1.46	# Initial clauses                      : 1622
1.27/1.46	# Removed in clause preprocessing      : 210
1.27/1.46	# Initial clauses in saturation        : 1412
1.27/1.46	# Processed clauses                    : 3876
1.27/1.46	# ...of these trivial                  : 142
1.27/1.46	# ...subsumed                          : 1285
1.27/1.46	# ...remaining for further processing  : 2449
1.27/1.46	# Other redundant clauses eliminated   : 553
1.27/1.46	# Clauses deleted for lack of memory   : 0
1.27/1.46	# Backward-subsumed                    : 17
1.27/1.46	# Backward-rewritten                   : 30
1.27/1.46	# Generated clauses                    : 26904
1.27/1.46	# ...of the previous two non-redundant : 24547
1.27/1.46	# ...aggressively subsumed             : 0
1.27/1.46	# Contextual simplify-reflections      : 4
1.27/1.46	# Paramodulations                      : 26340
1.27/1.46	# Factorizations                       : 6
1.27/1.46	# NegExts                              : 0
1.27/1.46	# Equation resolutions                 : 576
1.27/1.46	# Propositional unsat checks           : 0
1.27/1.46	#    Propositional check models        : 0
1.27/1.46	#    Propositional check unsatisfiable : 0
1.27/1.46	#    Propositional clauses             : 0
1.27/1.46	#    Propositional clauses after purity: 0
1.27/1.46	#    Propositional unsat core size     : 0
1.27/1.46	#    Propositional preprocessing time  : 0.000
1.27/1.46	#    Propositional encoding time       : 0.000
1.27/1.46	#    Propositional solver time         : 0.000
1.27/1.46	#    Success case prop preproc time    : 0.000
1.27/1.46	#    Success case prop encoding time   : 0.000
1.27/1.46	#    Success case prop solver time     : 0.000
1.27/1.46	# Current number of processed clauses  : 1234
1.27/1.46	#    Positive orientable unit clauses  : 277
1.27/1.46	#    Positive unorientable unit clauses: 14
1.27/1.46	#    Negative unit clauses             : 18
1.27/1.46	#    Non-unit-clauses                  : 925
1.27/1.46	# Current number of unprocessed clauses: 23015
1.27/1.46	# ...number of literals in the above   : 70734
1.27/1.46	# Current number of archived formulas  : 0
1.27/1.46	# Current number of archived clauses   : 1019
1.27/1.46	# Clause-clause subsumption calls (NU) : 474725
1.27/1.46	# Rec. Clause-clause subsumption calls : 179833
1.27/1.46	# Non-unit clause-clause subsumptions  : 1007
1.27/1.46	# Unit Clause-clause subsumption calls : 7147
1.27/1.46	# Rewrite failures with RHS unbound    : 20
1.27/1.46	# BW rewrite match attempts            : 258
1.27/1.46	# BW rewrite match successes           : 205
1.27/1.46	# Condensation attempts                : 0
1.27/1.46	# Condensation successes               : 0
1.27/1.46	# Termbank termtop insertions          : 636435
1.27/1.46	
1.27/1.46	# -------------------------------------------------
1.27/1.46	# User time                : 0.756 s
1.27/1.46	# System time              : 0.043 s
1.27/1.46	# Total time               : 0.800 s
1.27/1.46	# Maximum resident set size: 11180 pages
1.27/1.46	
1.27/1.46	# -------------------------------------------------
1.27/1.46	# User time                : 0.806 s
1.27/1.46	# System time              : 0.050 s
1.27/1.46	# Total time               : 0.856 s
1.27/1.46	# Maximum resident set size: 4448 pages
1.27/1.46	EOF