0.11/0.28	% Problem    : SLH0547^1 : TPTP v8.2.0. Released v8.2.0.
0.28/0.28	% Command    : run_E %s %d THM
0.30/0.50	% Computer : n023.cluster.edu
0.30/0.50	% Model    : x86_64 x86_64
0.30/0.50	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.30/0.50	% Memory   : 8042.1875MB
0.30/0.50	% OS       : Linux 3.10.0-693.el7.x86_64
0.30/0.50	% CPULimit   : 30
0.30/0.50	% WCLimit    : 30
0.30/0.50	% DateTime   : Mon Jul  3 10:17:36 EDT 2023
0.36/0.50	% CPUTime    : 
0.36/0.62	The problem SPC is TH0_THM_EQU_NAR
0.36/0.62	Running higher-order on 1 cores theorem proving
0.36/0.62	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.J5JgaPzfBl/Vampire---4.8_3952
0.36/0.62	# Version: 3.0pre003-ho
1.87/2.07	# partial match(1): HSLMSMSMSSMNSFA
1.87/2.07	# Preprocessing class: HMLMSMSMSSMNSFA.
1.87/2.07	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.87/2.07	# Starting ho_unfolding_3 with 30s (1) cores
1.87/2.07	# ho_unfolding_3 with pid 4131 completed with status 0
1.87/2.07	# Result found by ho_unfolding_3
1.87/2.07	# partial match(1): HSLMSMSMSSMNSFA
1.87/2.07	# Preprocessing class: HMLMSMSMSSMNSFA.
1.87/2.07	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.87/2.07	# Starting ho_unfolding_3 with 30s (1) cores
1.87/2.07	# No SInE strategy applied
1.87/2.07	# Search class: HGHSM-SMLM32-DSFFFSBN
1.87/2.07	# partial match(1): HGHSM-SMLM32-DHFFFSBN
1.87/2.07	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.87/2.07	# Starting new_ho_10 with 17s (1) cores
1.87/2.07	# new_ho_10 with pid 4132 completed with status 0
1.87/2.07	# Result found by new_ho_10
1.87/2.07	# partial match(1): HSLMSMSMSSMNSFA
1.87/2.07	# Preprocessing class: HMLMSMSMSSMNSFA.
1.87/2.07	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.87/2.07	# Starting ho_unfolding_3 with 30s (1) cores
1.87/2.07	# No SInE strategy applied
1.87/2.07	# Search class: HGHSM-SMLM32-DSFFFSBN
1.87/2.07	# partial match(1): HGHSM-SMLM32-DHFFFSBN
1.87/2.07	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.87/2.07	# Starting new_ho_10 with 17s (1) cores
1.87/2.07	# Preprocessing time       : 0.052 s
1.87/2.07	# Presaturation interreduction done
1.87/2.07	
1.87/2.07	# Proof found!
1.87/2.07	# SZS status Theorem
1.87/2.07	# SZS output start CNFRefutation
1.87/2.07	thf(decl_22, type, inverse_inverse_a: a > a).
1.87/2.07	thf(decl_23, type, minus_minus_mat_a: mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_24, type, minus_3631651556841400635_vec_a: vec_vec_a > vec_vec_a > vec_vec_a).
1.87/2.07	thf(decl_25, type, minus_minus_vec_nat: vec_nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_26, type, minus_minus_vec_a: vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_27, type, minus_minus_nat: nat > nat > nat).
1.87/2.07	thf(decl_28, type, minus_minus_a: a > a > a).
1.87/2.07	thf(decl_29, type, one_one_nat: nat).
1.87/2.07	thf(decl_30, type, one_one_set_nat: set_nat).
1.87/2.07	thf(decl_31, type, one_one_set_a: set_a).
1.87/2.07	thf(decl_32, type, one_one_a: a).
1.87/2.07	thf(decl_33, type, plus_plus_mat_a: mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_34, type, plus_plus_vec_vec_a: vec_vec_a > vec_vec_a > vec_vec_a).
1.87/2.07	thf(decl_35, type, plus_plus_vec_nat: vec_nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_36, type, plus_plus_vec_a: vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_37, type, plus_plus_nat: nat > nat > nat).
1.87/2.07	thf(decl_38, type, plus_plus_set_mat_a: set_mat_a > set_mat_a > set_mat_a).
1.87/2.07	thf(decl_39, type, plus_plus_set_vec_a: set_vec_a > set_vec_a > set_vec_a).
1.87/2.07	thf(decl_40, type, plus_plus_set_nat: set_nat > set_nat > set_nat).
1.87/2.07	thf(decl_41, type, plus_plus_set_a: set_a > set_a > set_a).
1.87/2.07	thf(decl_42, type, plus_plus_a: a > a > a).
1.87/2.07	thf(decl_43, type, times_times_mat_a: mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_44, type, times_times_nat: nat > nat > nat).
1.87/2.07	thf(decl_45, type, times_1230744552615602198_mat_a: set_mat_a > set_mat_a > set_mat_a).
1.87/2.07	thf(decl_46, type, times_times_set_nat: set_nat > set_nat > set_nat).
1.87/2.07	thf(decl_47, type, times_5016826689369604684_mat_a: set_set_mat_a > set_set_mat_a > set_set_mat_a).
1.87/2.07	thf(decl_48, type, times_4850922872519784769et_nat: set_set_nat > set_set_nat > set_set_nat).
1.87/2.07	thf(decl_49, type, times_7067382428724638713_set_a: set_set_a > set_set_a > set_set_a).
1.87/2.07	thf(decl_50, type, times_times_set_a: set_a > set_a > set_a).
1.87/2.07	thf(decl_51, type, times_times_a: a > a > a).
1.87/2.07	thf(decl_52, type, uminus_uminus_mat_a: mat_a > mat_a).
1.87/2.07	thf(decl_53, type, uminus6789456888195538751_mat_a: vec_mat_a > vec_mat_a).
1.87/2.07	thf(decl_54, type, uminus8262787361227035083_vec_a: vec_vec_a > vec_vec_a).
1.87/2.07	thf(decl_55, type, uminus_uminus_vec_a: vec_a > vec_a).
1.87/2.07	thf(decl_56, type, uminus_uminus_a: a > a).
1.87/2.07	thf(decl_57, type, zero_zero_nat: nat).
1.87/2.07	thf(decl_58, type, zero_zero_a: a).
1.87/2.07	thf(decl_59, type, append_rows_a: mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_60, type, append_vec_nat: vec_nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_61, type, append_vec_a: vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_62, type, carrier_mat_nat: nat > nat > set_mat_nat).
1.87/2.07	thf(decl_63, type, carrier_mat_a: nat > nat > set_mat_a).
1.87/2.07	thf(decl_64, type, carrier_vec_vec_a: nat > set_vec_vec_a).
1.87/2.07	thf(decl_65, type, carrier_vec_nat: nat > set_vec_nat).
1.87/2.07	thf(decl_66, type, carrier_vec_a: nat > set_vec_a).
1.87/2.07	thf(decl_67, type, component_mult_mat_a: vec_mat_a > vec_mat_a > vec_mat_a).
1.87/2.07	thf(decl_68, type, component_mult_nat: vec_nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_69, type, compon4410459221688440082_mat_a: vec_set_mat_a > vec_set_mat_a > vec_set_mat_a).
1.87/2.07	thf(decl_70, type, compon5754984660334733703et_nat: vec_set_nat > vec_set_nat > vec_set_nat).
1.87/2.07	thf(decl_71, type, component_mult_set_a: vec_set_a > vec_set_a > vec_set_a).
1.87/2.07	thf(decl_72, type, component_mult_a: vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_73, type, dim_vec_mat_a: vec_mat_a > nat).
1.87/2.07	thf(decl_74, type, dim_vec_vec_a: vec_vec_a > nat).
1.87/2.07	thf(decl_75, type, dim_vec_nat: vec_nat > nat).
1.87/2.07	thf(decl_76, type, dim_vec_set_mat_a: vec_set_mat_a > nat).
1.87/2.07	thf(decl_77, type, dim_vec_set_nat: vec_set_nat > nat).
1.87/2.07	thf(decl_78, type, dim_vec_set_a: vec_set_a > nat).
1.87/2.07	thf(decl_79, type, dim_vec_a: vec_a > nat).
1.87/2.07	thf(decl_80, type, four_block_mat_a: mat_a > mat_a > mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_81, type, mat_of_row_a: vec_a > mat_a).
1.87/2.07	thf(decl_82, type, mult_mat_vec_nat: mat_nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_83, type, mult_mat_vec_a: mat_a > vec_a > vec_a).
1.87/2.07	thf(decl_84, type, one_mat_a: nat > mat_a).
1.87/2.07	thf(decl_85, type, scalar_prod_nat: vec_nat > vec_nat > nat).
1.87/2.07	thf(decl_86, type, scalar_prod_a: vec_a > vec_a > a).
1.87/2.07	thf(decl_87, type, smult_vec_mat_a: mat_a > vec_mat_a > vec_mat_a).
1.87/2.07	thf(decl_88, type, smult_vec_nat: nat > vec_nat > vec_nat).
1.87/2.07	thf(decl_89, type, smult_vec_set_mat_a: set_mat_a > vec_set_mat_a > vec_set_mat_a).
1.87/2.07	thf(decl_90, type, smult_vec_set_nat: set_nat > vec_set_nat > vec_set_nat).
1.87/2.07	thf(decl_91, type, smult_vec_set_a: set_a > vec_set_a > vec_set_a).
1.87/2.07	thf(decl_92, type, smult_vec_a: a > vec_a > vec_a).
1.87/2.07	thf(decl_93, type, transpose_mat_nat: mat_nat > mat_nat).
1.87/2.07	thf(decl_94, type, transpose_mat_a: mat_a > mat_a).
1.87/2.07	thf(decl_95, type, update_vec_a: vec_a > nat > a > vec_a).
1.87/2.07	thf(decl_96, type, vec_first_a: vec_a > nat > vec_a).
1.87/2.07	thf(decl_97, type, vec_index_mat_a: vec_mat_a > nat > mat_a).
1.87/2.07	thf(decl_98, type, vec_index_vec_a: vec_vec_a > nat > vec_a).
1.87/2.07	thf(decl_99, type, vec_index_nat: vec_nat > nat > nat).
1.87/2.07	thf(decl_100, type, vec_index_set_mat_a: vec_set_mat_a > nat > set_mat_a).
1.87/2.07	thf(decl_101, type, vec_index_set_nat: vec_set_nat > nat > set_nat).
1.87/2.07	thf(decl_102, type, vec_index_set_a: vec_set_a > nat > set_a).
1.87/2.07	thf(decl_103, type, vec_index_a: vec_a > nat > a).
1.87/2.07	thf(decl_104, type, vec_last_a: vec_a > nat > vec_a).
1.87/2.07	thf(decl_105, type, zero_mat_a: nat > nat > mat_a).
1.87/2.07	thf(decl_106, type, zero_vec_nat: nat > vec_nat).
1.87/2.07	thf(decl_107, type, zero_vec_a: nat > vec_a).
1.87/2.07	thf(decl_108, type, missin386308114684349109cols_a: mat_a > mat_a > mat_a).
1.87/2.07	thf(decl_109, type, missing_mat_of_col_a: vec_a > mat_a).
1.87/2.07	thf(decl_110, type, missin5951511974119752530scal_a: a > vec_a).
1.87/2.07	thf(decl_111, type, linf_norm_vec_a: vec_a > a).
1.87/2.07	thf(decl_112, type, norm1_a: poly_a > a).
1.87/2.07	thf(decl_113, type, neg_nu181380926503873385_dec_a: a > a).
1.87/2.07	thf(decl_114, type, ord_less_vec_a: vec_a > vec_a > $o).
1.87/2.07	thf(decl_115, type, ord_less_nat: nat > nat > $o).
1.87/2.07	thf(decl_116, type, ord_less_a: a > a > $o).
1.87/2.07	thf(decl_117, type, ord_le4012615358376148468_vec_a: vec_vec_a > vec_vec_a > $o).
1.87/2.07	thf(decl_118, type, ord_less_eq_vec_nat: vec_nat > vec_nat > $o).
1.87/2.07	thf(decl_119, type, ord_less_eq_vec_a: vec_a > vec_a > $o).
1.87/2.07	thf(decl_120, type, ord_less_eq_nat: nat > nat > $o).
1.87/2.07	thf(decl_121, type, ord_le3318621148231462513_mat_a: set_mat_a > set_mat_a > $o).
1.87/2.07	thf(decl_122, type, ord_le4791951621262958845_vec_a: set_vec_a > set_vec_a > $o).
1.87/2.07	thf(decl_123, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
1.87/2.07	thf(decl_124, type, ord_less_eq_set_a: set_a > set_a > $o).
1.87/2.07	thf(decl_125, type, ord_less_eq_a: a > a > $o).
1.87/2.07	thf(decl_126, type, collect_mat_a: (mat_a > $o) > set_mat_a).
1.87/2.07	thf(decl_127, type, collect_vec_a: (vec_a > $o) > set_vec_a).
1.87/2.07	thf(decl_128, type, collect_nat: (nat > $o) > set_nat).
1.87/2.07	thf(decl_129, type, collect_a: (a > $o) > set_a).
1.87/2.07	thf(decl_130, type, member_mat_nat: mat_nat > set_mat_nat > $o).
1.87/2.07	thf(decl_131, type, member_mat_a: mat_a > set_mat_a > $o).
1.87/2.07	thf(decl_132, type, member_vec_vec_a: vec_vec_a > set_vec_vec_a > $o).
1.87/2.07	thf(decl_133, type, member_vec_nat: vec_nat > set_vec_nat > $o).
1.87/2.07	thf(decl_134, type, member_vec_a: vec_a > set_vec_a > $o).
1.87/2.07	thf(decl_135, type, member_nat: nat > set_nat > $o).
1.87/2.07	thf(decl_136, type, member_set_mat_a: set_mat_a > set_set_mat_a > $o).
1.87/2.07	thf(decl_137, type, member_set_nat: set_nat > set_set_nat > $o).
1.87/2.07	thf(decl_138, type, member_set_a: set_a > set_set_a > $o).
1.87/2.07	thf(decl_139, type, member_a: a > set_a > $o).
1.87/2.07	thf(decl_140, type, a2: mat_a).
1.87/2.07	thf(decl_141, type, l: vec_a).
1.87/2.07	thf(decl_142, type, m: mat_a).
1.87/2.07	thf(decl_143, type, m_last: mat_a).
1.87/2.07	thf(decl_144, type, m_low: mat_a).
1.87/2.07	thf(decl_145, type, m_up: mat_a).
1.87/2.07	thf(decl_146, type, b: vec_a).
1.87/2.07	thf(decl_147, type, bc: vec_a).
1.87/2.07	thf(decl_148, type, c: vec_a).
1.87/2.07	thf(decl_149, type, lam: a).
1.87/2.07	thf(decl_150, type, nc: nat).
1.87/2.07	thf(decl_151, type, nr: nat).
1.87/2.07	thf(decl_152, type, t: vec_a).
1.87/2.07	thf(decl_153, type, u1: vec_a).
1.87/2.07	thf(decl_154, type, u2: vec_a).
1.87/2.07	thf(decl_155, type, u3: vec_a).
1.87/2.07	thf(decl_156, type, u: vec_a).
1.87/2.07	thf(decl_157, type, ulv: vec_a).
1.87/2.07	thf(decl_158, type, v: vec_a).
1.87/2.07	thf(decl_159, type, vec1: vec_a).
1.87/2.07	thf(decl_160, type, vec2: vec_a).
1.87/2.07	thf(decl_161, type, vec3: vec_a).
1.87/2.07	thf(decl_162, type, w: vec_a).
1.87/2.07	thf(decl_163, type, esk1_2: (a > $o) > a > a).
1.87/2.07	thf(decl_164, type, esk2_2: (a > $o) > a > a).
1.87/2.07	thf(decl_165, type, esk3_3: (a > $o) > a > (a > $o) > a).
1.87/2.07	thf(decl_166, type, esk4_3: (a > $o) > a > (a > $o) > a).
1.87/2.07	thf(decl_167, type, esk5_2: (a > $o) > a > a).
1.87/2.07	thf(decl_168, type, esk6_2: (a > $o) > a > a).
1.87/2.07	thf(decl_169, type, esk7_3: (a > $o) > a > (a > $o) > a).
1.87/2.07	thf(decl_170, type, esk8_3: (a > $o) > a > (a > $o) > a).
1.87/2.07	thf(decl_171, type, esk9_3: set_nat > set_set_nat > set_set_nat > set_nat).
1.87/2.07	thf(decl_172, type, esk10_3: set_nat > set_set_nat > set_set_nat > set_nat).
1.87/2.07	thf(decl_173, type, esk11_3: set_a > set_set_a > set_set_a > set_a).
1.87/2.07	thf(decl_174, type, esk12_3: set_a > set_set_a > set_set_a > set_a).
1.87/2.07	thf(decl_175, type, esk13_3: set_mat_a > set_set_mat_a > set_set_mat_a > set_mat_a).
1.87/2.07	thf(decl_176, type, esk14_3: set_mat_a > set_set_mat_a > set_set_mat_a > set_mat_a).
1.87/2.07	thf(decl_177, type, esk15_3: nat > set_nat > set_nat > nat).
1.87/2.07	thf(decl_178, type, esk16_3: nat > set_nat > set_nat > nat).
1.87/2.07	thf(decl_179, type, esk17_3: a > set_a > set_a > a).
1.87/2.07	thf(decl_180, type, esk18_3: a > set_a > set_a > a).
1.87/2.07	thf(decl_181, type, esk19_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_182, type, esk20_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_183, type, esk21_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_184, type, esk22_3: mat_a > set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_185, type, esk23_3: a > set_a > set_a > a).
1.87/2.07	thf(decl_186, type, esk24_3: a > set_a > set_a > a).
1.87/2.07	thf(decl_187, type, esk25_3: vec_a > set_vec_a > set_vec_a > vec_a).
1.87/2.07	thf(decl_188, type, esk26_3: vec_a > set_vec_a > set_vec_a > vec_a).
1.87/2.07	thf(decl_189, type, esk27_3: nat > set_nat > set_nat > nat).
1.87/2.07	thf(decl_190, type, esk28_3: nat > set_nat > set_nat > nat).
1.87/2.07	thf(decl_191, type, esk29_1: a > a).
1.87/2.07	thf(decl_192, type, esk30_1: a > a).
1.87/2.07	thf(decl_193, type, esk31_3: (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_194, type, esk32_5: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_195, type, esk33_4: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a).
1.87/2.07	thf(decl_196, type, esk34_3: (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_197, type, esk35_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_198, type, esk36_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.87/2.07	thf(decl_199, type, esk37_3: (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_200, type, esk38_5: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_201, type, esk39_4: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a).
1.87/2.07	thf(decl_202, type, esk40_3: (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_203, type, esk41_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_204, type, esk42_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.87/2.07	thf(decl_205, type, esk43_1: a > a).
1.87/2.07	thf(decl_206, type, esk44_1: nat > nat).
1.87/2.07	thf(decl_207, type, esk45_1: a > a).
1.87/2.07	thf(decl_208, type, esk46_1: nat > nat).
1.87/2.07	thf(decl_209, type, esk47_1: a > a).
1.87/2.07	thf(decl_210, type, esk48_1: nat > nat).
1.87/2.07	thf(decl_211, type, esk49_1: a > a).
1.87/2.07	thf(decl_212, type, esk50_1: nat > nat).
1.87/2.07	thf(decl_213, type, esk51_3: (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_214, type, esk52_5: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_215, type, esk53_4: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a).
1.87/2.07	thf(decl_216, type, esk54_3: (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_217, type, esk55_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_218, type, esk56_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.87/2.07	thf(decl_219, type, esk57_3: (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_220, type, esk58_5: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a > a).
1.87/2.07	thf(decl_221, type, esk59_4: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a).
1.87/2.07	thf(decl_222, type, esk60_3: (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_223, type, esk61_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.87/2.07	thf(decl_224, type, esk62_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.87/2.07	thf(decl_225, type, esk63_1: a > a).
1.87/2.07	thf(decl_226, type, esk64_1: nat > nat).
1.87/2.07	thf(decl_227, type, esk65_1: a > a).
1.87/2.07	thf(decl_228, type, esk66_1: nat > nat).
1.87/2.07	thf(decl_229, type, esk67_1: a > a).
1.87/2.07	thf(decl_230, type, esk68_1: nat > nat).
1.87/2.07	thf(decl_231, type, esk69_1: a > a).
1.87/2.07	thf(decl_232, type, esk70_1: nat > nat).
1.87/2.07	thf(decl_233, type, esk71_2: a > a > a).
1.87/2.07	thf(decl_234, type, esk72_2: nat > nat > nat).
1.87/2.07	thf(decl_235, type, esk73_1: a > a).
1.87/2.07	thf(decl_236, type, esk74_1: nat > nat).
1.87/2.07	thf(decl_237, type, esk75_1: a > a).
1.87/2.07	thf(decl_238, type, esk76_1: nat > nat).
1.87/2.07	thf(decl_239, type, esk77_1: a > a).
1.87/2.07	thf(decl_240, type, esk78_1: nat > nat).
1.87/2.07	thf(decl_241, type, esk79_1: a > a).
1.87/2.07	thf(decl_242, type, esk80_1: nat > nat).
1.87/2.07	thf(decl_243, type, esk81_2: nat > nat > nat).
1.87/2.07	thf(decl_244, type, esk82_2: nat > nat > nat).
1.87/2.07	thf(decl_245, type, esk83_2: a > a > a).
1.87/2.07	thf(decl_246, type, esk84_0: vec_a).
1.87/2.07	thf(decl_247, type, esk85_0: vec_a).
1.87/2.07	thf(decl_248, type, esk86_2: vec_a > nat > vec_a).
1.87/2.07	thf(decl_249, type, esk87_5: mat_a > nat > nat > vec_a > vec_a > a).
1.87/2.07	thf(decl_250, type, esk88_5: mat_a > nat > nat > vec_a > vec_a > a).
1.87/2.07	thf(decl_251, type, esk89_2: a > a > a).
1.87/2.07	thf(decl_252, type, esk90_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_253, type, esk91_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_254, type, esk92_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_255, type, esk93_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_256, type, esk94_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_257, type, esk95_3: nat > nat > (vec_a > $o) > vec_a).
1.87/2.07	thf(decl_258, type, esk96_4: mat_a > nat > nat > vec_a > vec_a).
1.87/2.07	thf(decl_259, type, esk97_4: mat_a > nat > nat > vec_a > vec_a).
1.87/2.07	thf(decl_260, type, esk98_4: mat_a > nat > nat > vec_a > vec_a).
1.87/2.07	thf(decl_261, type, esk99_4: mat_a > nat > nat > vec_a > vec_a).
1.87/2.07	thf(decl_262, type, esk100_2: vec_a > vec_a > nat).
1.87/2.07	thf(decl_263, type, esk101_2: vec_a > vec_a > nat).
1.87/2.07	thf(decl_264, type, esk102_3: vec_a > nat > vec_a > nat).
1.87/2.07	thf(decl_265, type, esk103_3: vec_vec_a > nat > vec_vec_a > nat).
1.87/2.07	thf(decl_266, type, esk104_3: vec_nat > nat > vec_nat > nat).
1.87/2.07	thf(decl_267, type, esk105_2: vec_vec_a > vec_vec_a > nat).
1.87/2.07	thf(decl_268, type, esk106_2: vec_nat > vec_nat > nat).
1.87/2.07	thf(decl_269, type, esk107_2: vec_a > vec_a > nat).
1.87/2.07	thf(decl_270, type, esk108_3: mat_a > nat > nat > mat_a).
1.87/2.07	thf(decl_271, type, esk109_2: (nat > $o) > nat > nat).
1.87/2.07	thf(decl_272, type, esk110_1: (nat > $o) > nat).
1.87/2.07	thf(decl_273, type, esk111_1: (nat > nat) > nat).
1.87/2.07	thf(decl_274, type, esk112_1: (nat > nat) > nat).
1.87/2.07	thf(decl_275, type, esk113_2: nat > nat > nat).
1.87/2.07	thf(decl_276, type, esk114_2: nat > nat > nat).
1.87/2.07	thf(decl_277, type, esk115_2: (nat > $o) > nat > nat).
1.87/2.07	thf(decl_278, type, esk116_1: (nat > nat) > nat).
1.87/2.07	thf(decl_279, type, esk117_1: (nat > nat) > nat).
1.87/2.07	thf(decl_280, type, esk118_2: set_vec_a > set_vec_a > vec_a).
1.87/2.07	thf(decl_281, type, esk119_2: set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_282, type, esk120_2: set_nat > set_nat > nat).
1.87/2.07	thf(decl_283, type, esk121_2: set_a > set_a > a).
1.87/2.07	thf(decl_284, type, esk122_2: set_vec_a > set_vec_a > vec_a).
1.87/2.07	thf(decl_285, type, esk123_2: set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_286, type, esk124_2: set_nat > set_nat > nat).
1.87/2.07	thf(decl_287, type, esk125_2: set_a > set_a > a).
1.87/2.07	thf(decl_288, type, esk126_2: set_vec_a > set_vec_a > vec_a).
1.87/2.07	thf(decl_289, type, esk127_2: set_mat_a > set_mat_a > mat_a).
1.87/2.07	thf(decl_290, type, esk128_2: set_nat > set_nat > nat).
1.87/2.07	thf(decl_291, type, esk129_2: set_a > set_a > a).
1.87/2.07	thf(decl_292, type, esk130_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_293, type, esk131_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_294, type, esk132_4: a > a > (a > vec_a) > vec_a > a).
1.87/2.07	thf(decl_295, type, esk133_4: a > a > (a > vec_a) > vec_a > a).
1.87/2.07	thf(decl_296, type, esk134_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_297, type, esk135_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_298, type, esk136_4: vec_a > vec_a > (vec_a > a) > a > vec_a).
1.87/2.07	thf(decl_299, type, esk137_4: vec_a > vec_a > (vec_a > a) > a > vec_a).
1.87/2.07	thf(decl_300, type, esk138_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a).
1.87/2.07	thf(decl_301, type, esk139_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a).
1.87/2.07	thf(decl_302, type, esk140_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a).
1.87/2.07	thf(decl_303, type, esk141_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a).
1.87/2.07	thf(decl_304, type, esk142_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_305, type, esk143_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_306, type, esk144_4: nat > nat > (nat > vec_a) > vec_a > nat).
1.87/2.07	thf(decl_307, type, esk145_4: nat > nat > (nat > vec_a) > vec_a > nat).
1.87/2.07	thf(decl_308, type, esk146_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_309, type, esk147_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_310, type, esk148_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_311, type, esk149_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_312, type, esk150_4: vec_a > (a > vec_a) > a > a > a).
1.87/2.07	thf(decl_313, type, esk151_4: vec_a > (a > vec_a) > a > a > a).
1.87/2.07	thf(decl_314, type, esk152_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_315, type, esk153_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_316, type, esk154_4: a > (vec_a > a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_317, type, esk155_4: a > (vec_a > a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_318, type, esk156_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_319, type, esk157_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_320, type, esk158_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_321, type, esk159_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_322, type, esk160_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_323, type, esk161_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_324, type, esk162_4: vec_a > (nat > vec_a) > nat > nat > nat).
1.87/2.07	thf(decl_325, type, esk163_4: vec_a > (nat > vec_a) > nat > nat > nat).
1.87/2.07	thf(decl_326, type, esk164_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_327, type, esk165_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_328, type, esk166_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_329, type, esk167_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_330, type, esk168_4: a > a > (a > vec_a) > vec_a > a).
1.87/2.07	thf(decl_331, type, esk169_4: a > a > (a > vec_a) > vec_a > a).
1.87/2.07	thf(decl_332, type, esk170_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_333, type, esk171_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_334, type, esk172_4: vec_a > vec_a > (vec_a > a) > a > vec_a).
1.87/2.07	thf(decl_335, type, esk173_4: vec_a > vec_a > (vec_a > a) > a > vec_a).
1.87/2.07	thf(decl_336, type, esk174_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a).
1.87/2.07	thf(decl_337, type, esk175_4: vec_a > vec_a > (vec_a > vec_a) > vec_a > vec_a).
1.87/2.07	thf(decl_338, type, esk176_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a).
1.87/2.07	thf(decl_339, type, esk177_4: vec_a > vec_a > (vec_a > nat) > nat > vec_a).
1.87/2.07	thf(decl_340, type, esk178_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_341, type, esk179_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_342, type, esk180_4: nat > nat > (nat > vec_a) > vec_a > nat).
1.87/2.07	thf(decl_343, type, esk181_4: nat > nat > (nat > vec_a) > vec_a > nat).
1.87/2.07	thf(decl_344, type, esk182_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_345, type, esk183_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_346, type, esk184_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_347, type, esk185_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_348, type, esk186_4: a > (vec_a > a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_349, type, esk187_4: a > (vec_a > a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_350, type, esk188_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_351, type, esk189_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_352, type, esk190_4: vec_a > (a > vec_a) > a > a > a).
1.87/2.07	thf(decl_353, type, esk191_4: vec_a > (a > vec_a) > a > a > a).
1.87/2.07	thf(decl_354, type, esk192_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_355, type, esk193_4: vec_a > (vec_a > vec_a) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_356, type, esk194_4: vec_a > (nat > vec_a) > nat > nat > nat).
1.87/2.07	thf(decl_357, type, esk195_4: vec_a > (nat > vec_a) > nat > nat > nat).
1.87/2.07	thf(decl_358, type, esk196_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_359, type, esk197_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_360, type, esk198_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_361, type, esk199_4: nat > (vec_a > nat) > vec_a > vec_a > vec_a).
1.87/2.07	thf(decl_362, type, esk200_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_363, type, esk201_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_364, type, esk202_1: (a > a > $o) > a).
1.87/2.07	thf(decl_365, type, esk203_1: (a > a > $o) > a).
1.87/2.07	thf(decl_366, type, esk204_1: (a > a > $o) > a).
1.87/2.07	thf(decl_367, type, esk205_1: (a > a > $o) > a).
1.87/2.07	thf(decl_368, type, esk206_1: (nat > nat > $o) > nat).
1.87/2.07	thf(decl_369, type, esk207_1: (nat > nat > $o) > nat).
1.87/2.07	thf(decl_370, type, esk208_1: (nat > nat > $o) > nat).
1.87/2.07	thf(decl_371, type, esk209_1: (nat > nat > $o) > nat).
1.87/2.07	thf(decl_372, type, esk210_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_373, type, esk211_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_374, type, esk212_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_375, type, esk213_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_376, type, esk214_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_377, type, esk215_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_378, type, esk216_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_379, type, esk217_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_380, type, esk218_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_381, type, esk219_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_382, type, esk220_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_383, type, esk221_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_384, type, esk222_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_385, type, esk223_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_386, type, esk224_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_387, type, esk225_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_388, type, esk226_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_389, type, esk227_4: a > a > (a > a) > a > a).
1.87/2.07	thf(decl_390, type, esk228_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_391, type, esk229_4: a > a > (a > nat) > nat > a).
1.87/2.07	thf(decl_392, type, esk230_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_393, type, esk231_4: nat > nat > (nat > a) > a > nat).
1.87/2.07	thf(decl_394, type, esk232_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_395, type, esk233_4: nat > nat > (nat > nat) > nat > nat).
1.87/2.07	thf(decl_396, type, esk234_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_397, type, esk235_4: a > (a > a) > a > a > a).
1.87/2.07	thf(decl_398, type, esk236_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_399, type, esk237_4: nat > (a > nat) > a > a > a).
1.87/2.07	thf(decl_400, type, esk238_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_401, type, esk239_4: a > (nat > a) > nat > nat > nat).
1.87/2.07	thf(decl_402, type, esk240_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_403, type, esk241_4: nat > (nat > nat) > nat > nat > nat).
1.87/2.07	thf(decl_404, type, esk242_2: nat > (nat > $o) > nat).
1.87/2.07	thf(decl_405, type, esk243_2: nat > (nat > $o) > nat).
1.87/2.07	thf(decl_406, type, esk244_2: nat > (nat > nat > $o) > nat).
1.87/2.07	thf(decl_407, type, esk245_2: nat > (nat > nat > $o) > nat).
1.87/2.07	thf(decl_408, type, esk246_3: nat > (nat > nat > $o) > nat > nat).
1.87/2.07	thf(decl_409, type, epred1_1: set_vec_a > vec_a > $o).
1.87/2.07	thf(decl_410, type, epred2_1: set_mat_a > mat_a > $o).
1.87/2.07	thf(decl_411, type, epred3_1: set_nat > nat > $o).
1.87/2.07	thf(decl_412, type, epred4_1: set_a > a > $o).
1.87/2.07	thf(fact_1090_mat__of__col__def, axiom, ((missing_mat_of_col_a)=(^[X807:vec_a]:(transpose_mat_a @ (mat_of_row_a @ X807)))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_1090_mat__of__col__def)).
1.87/2.07	thf(fact_1137_mult__mat__of__row__vec__of__scal, axiom, ![X5:vec_a, X3:a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X5) @ (missin5951511974119752530scal_a @ X3))=(smult_vec_a @ X3 @ X5))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_1137_mult__mat__of__row__vec__of__scal)).
1.87/2.07	thf(conj_0, conjecture, ((times_times_a @ (inverse_inverse_a @ lam) @ (scalar_prod_a @ (smult_vec_a @ lam @ c) @ (minus_minus_vec_a @ v @ w)))=(scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', conj_0)).
1.87/2.07	thf(fact_37_scalar__prod__smult__left, axiom, ![X78:vec_a, X5:vec_a, X79:a]:((((dim_vec_a @ X78)=(dim_vec_a @ X5))=>((scalar_prod_a @ (smult_vec_a @ X79 @ X78) @ X5)=(times_times_a @ X79 @ (scalar_prod_a @ X78 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_37_scalar__prod__smult__left)).
1.87/2.07	thf(fact_122_carrier__vecD, axiom, ![X5:vec_a, X73:nat]:(((member_vec_a @ X5 @ (carrier_vec_a @ X73))=>((dim_vec_a @ X5)=(X73)))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_122_carrier__vecD)).
1.87/2.07	thf(fact_745_dim__vec__last, axiom, ![X5:vec_a, X73:nat]:(((dim_vec_a @ (vec_last_a @ X5 @ X73))=(X73))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_745_dim__vec__last)).
1.87/2.07	thf(fact_707_c, axiom, (member_vec_a @ c @ (carrier_vec_a @ nc)), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_707_c)).
1.87/2.07	thf(fact_127_index__minus__vec_I2_J, axiom, ![X72:vec_a, X74:vec_a]:(((dim_vec_a @ (minus_minus_vec_a @ X72 @ X74))=(dim_vec_a @ X74))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_127_index__minus__vec_I2_J)).
1.87/2.07	thf(fact_885_w__def, axiom, ((w)=(vec_last_a @ u3 @ nc)), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_885_w__def)).
1.87/2.07	thf(fact_250_mult_Oleft__commute, axiom, ![X2:a, X1:a, X36:a]:(((times_times_a @ X2 @ (times_times_a @ X1 @ X36))=(times_times_a @ X1 @ (times_times_a @ X2 @ X36)))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_250_mult_Oleft__commute)).
1.87/2.07	thf(fact_238_ab__semigroup__mult__class_Omult__ac_I1_J, axiom, ![X1:a, X2:a, X36:a]:(((times_times_a @ (times_times_a @ X1 @ X2) @ X36)=(times_times_a @ X1 @ (times_times_a @ X2 @ X36)))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_238_ab__semigroup__mult__class_Omult__ac_I1_J)).
1.87/2.07	thf(fact_757_right__inverse, axiom, ![X1:a]:((((X1)!=(zero_zero_a))=>((times_times_a @ X1 @ (inverse_inverse_a @ X1))=(one_one_a)))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_757_right__inverse)).
1.87/2.07	thf(fact_726_mult__1, axiom, ![X1:a]:(((times_times_a @ one_one_a @ X1)=(X1))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_726_mult__1)).
1.87/2.07	thf(fact_295_verit__comp__simplify1_I1_J, axiom, ![X1:a]:(~((ord_less_a @ X1 @ X1))), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_295_verit__comp__simplify1_I1_J)).
1.87/2.07	thf(fact_56_True, axiom, (ord_less_a @ zero_zero_a @ lam), file('/export/starexec/sandbox/tmp/tmp.J5JgaPzfBl/Vampire---4.8_3952', fact_56_True)).
1.87/2.07	thf(c_0_15, plain, ![X4885:vec_a]:(((missing_mat_of_col_a @ X4885)=(transpose_mat_a @ (mat_of_row_a @ X4885)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1090_mat__of__col__def])])).
1.87/2.07	thf(c_0_16, plain, ![X7789:vec_a, X7790:a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X7789) @ (missin5951511974119752530scal_a @ X7790))=(smult_vec_a @ X7790 @ X7789))), inference(variable_rename,[status(thm)],[fact_1137_mult__mat__of__row__vec__of__scal])).
1.87/2.07	thf(c_0_17, plain, ![X7640:vec_a]:(((missing_mat_of_col_a @ X7640)=(transpose_mat_a @ (mat_of_row_a @ X7640)))), inference(variable_rename,[status(thm)],[c_0_15])).
1.87/2.07	thf(c_0_18, negated_conjecture, ((times_times_a @ (inverse_inverse_a @ lam) @ (scalar_prod_a @ (smult_vec_a @ lam @ c) @ (minus_minus_vec_a @ v @ w)))!=(scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
1.87/2.07	thf(c_0_19, plain, ![X1:a, X5:vec_a]:(((mult_mat_vec_a @ (missing_mat_of_col_a @ X5) @ (missin5951511974119752530scal_a @ X1))=(smult_vec_a @ X1 @ X5))), inference(split_conjunct,[status(thm)],[c_0_16])).
1.87/2.07	thf(c_0_20, plain, ![X5:vec_a]:(((missing_mat_of_col_a @ X5)=(transpose_mat_a @ (mat_of_row_a @ X5)))), inference(split_conjunct,[status(thm)],[c_0_17])).
1.87/2.07	thf(c_0_21, plain, ![X5050:vec_a, X5051:vec_a, X5052:a]:((((dim_vec_a @ X5050)!=(dim_vec_a @ X5051))|((scalar_prod_a @ (smult_vec_a @ X5052 @ X5050) @ X5051)=(times_times_a @ X5052 @ (scalar_prod_a @ X5050 @ X5051))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_scalar__prod__smult__left])])).
1.87/2.07	thf(c_0_22, plain, ![X5214:vec_a, X5215:nat]:((~(member_vec_a @ X5214 @ (carrier_vec_a @ X5215))|((dim_vec_a @ X5214)=(X5215)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_122_carrier__vecD])])).
1.87/2.07	thf(c_0_23, plain, ![X6802:vec_a, X6803:nat]:(((dim_vec_a @ (vec_last_a @ X6802 @ X6803))=(X6803))), inference(variable_rename,[status(thm)],[fact_745_dim__vec__last])).
1.87/2.07	thf(c_0_24, negated_conjecture, ((times_times_a @ (inverse_inverse_a @ lam) @ (scalar_prod_a @ (smult_vec_a @ lam @ c) @ (minus_minus_vec_a @ v @ w)))!=(scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))), inference(split_conjunct,[status(thm)],[c_0_18])).
1.87/2.07	thf(c_0_25, plain, ![X1:a, X5:vec_a]:(((mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ X5)) @ (missin5951511974119752530scal_a @ X1))=(smult_vec_a @ X1 @ X5))), inference(rw,[status(thm)],[c_0_19, c_0_20])).
1.87/2.07	thf(c_0_26, plain, ![X5:vec_a, X1:a, X72:vec_a]:((((scalar_prod_a @ (smult_vec_a @ X1 @ X5) @ X72)=(times_times_a @ X1 @ (scalar_prod_a @ X5 @ X72)))|((dim_vec_a @ X5)!=(dim_vec_a @ X72)))), inference(split_conjunct,[status(thm)],[c_0_21])).
1.87/2.07	thf(c_0_27, plain, ![X5:vec_a, X24:nat]:((((dim_vec_a @ X5)=(X24))|~((member_vec_a @ X5 @ (carrier_vec_a @ X24))))), inference(split_conjunct,[status(thm)],[c_0_22])).
1.87/2.07	thf(c_0_28, plain, (member_vec_a @ c @ (carrier_vec_a @ nc)), inference(split_conjunct,[status(thm)],[fact_707_c])).
1.87/2.07	thf(c_0_29, plain, ![X5224:vec_a, X5225:vec_a]:(((dim_vec_a @ (minus_minus_vec_a @ X5224 @ X5225))=(dim_vec_a @ X5225))), inference(variable_rename,[status(thm)],[fact_127_index__minus__vec_I2_J])).
1.87/2.07	thf(c_0_30, plain, ![X5:vec_a, X24:nat]:(((dim_vec_a @ (vec_last_a @ X5 @ X24))=(X24))), inference(split_conjunct,[status(thm)],[c_0_23])).
1.87/2.07	thf(c_0_31, plain, ((w)=(vec_last_a @ u3 @ nc)), inference(split_conjunct,[status(thm)],[fact_885_w__def])).
1.87/2.07	thf(c_0_32, plain, ![X5546:a, X5547:a, X5548:a]:(((times_times_a @ X5546 @ (times_times_a @ X5547 @ X5548))=(times_times_a @ X5547 @ (times_times_a @ X5546 @ X5548)))), inference(variable_rename,[status(thm)],[fact_250_mult_Oleft__commute])).
1.87/2.07	thf(c_0_33, plain, ![X5514:a, X5515:a, X5516:a]:(((times_times_a @ (times_times_a @ X5514 @ X5515) @ X5516)=(times_times_a @ X5514 @ (times_times_a @ X5515 @ X5516)))), inference(variable_rename,[status(thm)],[fact_238_ab__semigroup__mult__class_Omult__ac_I1_J])).
1.87/2.07	thf(c_0_34, plain, ![X6826:a]:((((X6826)=(zero_zero_a))|((times_times_a @ X6826 @ (inverse_inverse_a @ X6826))=(one_one_a)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_757_right__inverse])])).
1.87/2.07	thf(c_0_35, plain, ![X6781:a]:(((times_times_a @ one_one_a @ X6781)=(X6781))), inference(variable_rename,[status(thm)],[fact_726_mult__1])).
1.87/2.07	thf(c_0_36, negated_conjecture, ((times_times_a @ (inverse_inverse_a @ lam) @ (scalar_prod_a @ (mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ c)) @ (missin5951511974119752530scal_a @ lam)) @ (minus_minus_vec_a @ v @ w)))!=(scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))), inference(rw,[status(thm)],[c_0_24, c_0_25])).
1.87/2.07	thf(c_0_37, plain, ![X5:vec_a, X1:a, X72:vec_a]:((((scalar_prod_a @ (mult_mat_vec_a @ (transpose_mat_a @ (mat_of_row_a @ X5)) @ (missin5951511974119752530scal_a @ X1)) @ X72)=(times_times_a @ X1 @ (scalar_prod_a @ X5 @ X72)))|((dim_vec_a @ X5)!=(dim_vec_a @ X72)))), inference(rw,[status(thm)],[c_0_26, c_0_25])).
1.87/2.07	thf(c_0_38, plain, ((dim_vec_a @ c)=(nc)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
1.87/2.07	thf(c_0_39, plain, ![X5:vec_a, X72:vec_a]:(((dim_vec_a @ (minus_minus_vec_a @ X5 @ X72))=(dim_vec_a @ X72))), inference(split_conjunct,[status(thm)],[c_0_29])).
1.87/2.07	thf(c_0_40, plain, ((dim_vec_a @ w)=(nc)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
1.87/2.07	thf(c_0_41, plain, ![X1:a, X2:a, X3:a]:(((times_times_a @ X1 @ (times_times_a @ X2 @ X3))=(times_times_a @ X2 @ (times_times_a @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
1.87/2.07	thf(c_0_42, plain, ![X1:a, X2:a, X3:a]:(((times_times_a @ (times_times_a @ X1 @ X2) @ X3)=(times_times_a @ X1 @ (times_times_a @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])).
1.87/2.07	thf(c_0_43, plain, ![X1:a]:((((X1)=(zero_zero_a))|((times_times_a @ X1 @ (inverse_inverse_a @ X1))=(one_one_a)))), inference(split_conjunct,[status(thm)],[c_0_34])).
1.87/2.07	thf(c_0_44, plain, ![X1:a]:(((times_times_a @ one_one_a @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_35])).
1.87/2.07	thf(c_0_45, plain, ![X1:a]:(~(ord_less_a @ X1 @ X1)), inference(fof_simplification,[status(thm)],[fact_295_verit__comp__simplify1_I1_J])).
1.87/2.07	thf(c_0_46, negated_conjecture, ((times_times_a @ lam @ (times_times_a @ (inverse_inverse_a @ lam) @ (scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))))!=(scalar_prod_a @ c @ (minus_minus_vec_a @ v @ w))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
1.87/2.07	thf(c_0_47, plain, ![X2:a, X1:a]:((((times_times_a @ X1 @ (times_times_a @ (inverse_inverse_a @ X1) @ X2))=(X2))|((X1)=(zero_zero_a)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])).
1.87/2.07	thf(c_0_48, plain, ![X5628:a]:(~(ord_less_a @ X5628 @ X5628)), inference(variable_rename,[status(thm)],[c_0_45])).
1.87/2.07	thf(c_0_49, plain, (ord_less_a @ zero_zero_a @ lam), inference(split_conjunct,[status(thm)],[fact_56_True])).
1.87/2.07	thf(c_0_50, negated_conjecture, ((lam)=(zero_zero_a)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
1.87/2.07	thf(c_0_51, plain, ![X1:a]:(~((ord_less_a @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_48])).
1.87/2.07	thf(c_0_52, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50]), c_0_51]), ['proof']).
1.87/2.07	# SZS output end CNFRefutation
1.87/2.07	# Parsed axioms                        : 1434
1.87/2.07	# Removed by relevancy pruning/SinE    : 0
1.87/2.07	# Initial clauses                      : 2847
1.87/2.07	# Removed in clause preprocessing      : 275
1.87/2.07	# Initial clauses in saturation        : 2572
1.87/2.07	# Processed clauses                    : 5962
1.87/2.07	# ...of these trivial                  : 173
1.87/2.07	# ...subsumed                          : 2028
1.87/2.07	# ...remaining for further processing  : 3761
1.87/2.07	# Other redundant clauses eliminated   : 522
1.87/2.07	# Clauses deleted for lack of memory   : 0
1.87/2.07	# Backward-subsumed                    : 105
1.87/2.07	# Backward-rewritten                   : 112
1.87/2.07	# Generated clauses                    : 46802
1.87/2.07	# ...of the previous two non-redundant : 42721
1.87/2.07	# ...aggressively subsumed             : 0
1.87/2.07	# Contextual simplify-reflections      : 3
1.87/2.07	# Paramodulations                      : 46262
1.87/2.07	# Factorizations                       : 12
1.87/2.07	# NegExts                              : 0
1.87/2.07	# Equation resolutions                 : 546
1.87/2.07	# Propositional unsat checks           : 0
1.87/2.07	#    Propositional check models        : 0
1.87/2.07	#    Propositional check unsatisfiable : 0
1.87/2.07	#    Propositional clauses             : 0
1.87/2.07	#    Propositional clauses after purity: 0
1.87/2.07	#    Propositional unsat core size     : 0
1.87/2.07	#    Propositional preprocessing time  : 0.000
1.87/2.07	#    Propositional encoding time       : 0.000
1.87/2.07	#    Propositional solver time         : 0.000
1.87/2.07	#    Success case prop preproc time    : 0.000
1.87/2.07	#    Success case prop encoding time   : 0.000
1.87/2.07	#    Success case prop solver time     : 0.000
1.87/2.07	# Current number of processed clauses  : 1857
1.87/2.07	#    Positive orientable unit clauses  : 300
1.87/2.07	#    Positive unorientable unit clauses: 15
1.87/2.07	#    Negative unit clauses             : 111
1.87/2.07	#    Non-unit-clauses                  : 1431
1.87/2.07	# Current number of unprocessed clauses: 40687
1.87/2.07	# ...number of literals in the above   : 152946
1.87/2.07	# Current number of archived formulas  : 0
1.87/2.07	# Current number of archived clauses   : 1674
1.87/2.07	# Clause-clause subsumption calls (NU) : 767480
1.87/2.07	# Rec. Clause-clause subsumption calls : 214412
1.87/2.07	# Non-unit clause-clause subsumptions  : 1376
1.87/2.07	# Unit Clause-clause subsumption calls : 27194
1.87/2.07	# Rewrite failures with RHS unbound    : 0
1.87/2.07	# BW rewrite match attempts            : 499
1.87/2.07	# BW rewrite match successes           : 358
1.87/2.07	# Condensation attempts                : 5962
1.87/2.07	# Condensation successes               : 32
1.87/2.07	# Termbank termtop insertions          : 1184940
1.87/2.07	
1.87/2.07	# -------------------------------------------------
1.87/2.07	# User time                : 1.352 s
1.87/2.07	# System time              : 0.041 s
1.87/2.07	# Total time               : 1.393 s
1.87/2.07	# Maximum resident set size: 12948 pages
1.87/2.07	
1.87/2.07	# -------------------------------------------------
1.87/2.07	# User time                : 1.400 s
1.87/2.07	# System time              : 0.047 s
1.87/2.07	# Total time               : 1.447 s
1.87/2.07	# Maximum resident set size: 4252 pages
1.87/2.07	EOF