%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP331_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:37 AM UTC 2026
% Result : Theorem 27.60s 5.51s
% Output : Refutation 29.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 123 ( 59 unt; 0 typ; 3 def)
% Number of atoms : 222 ( 117 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 184 ( 85 ~; 70 |; 14 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 112 ( 110 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 65 ( 62 usr; 5 prp; 0-4 aty)
% Number of functors : 702 ( 702 usr; 82 con; 0-6 aty)
% Number of variables : 136 ( 0 sgn 129 !; 7 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Nat_set_set$': $tType ).
tff(type_def_6,type,
'N_n_fun_n_vec$': $tType ).
tff(type_def_7,type,
'A_n_n_fun_vec$': $tType ).
tff(type_def_8,type,
'Nat_n_prod_set$': $tType ).
tff(type_def_9,type,
'N_n_a_n_vec_fun_fun$': $tType ).
tff(type_def_10,type,
'Int_bool_fun$': $tType ).
tff(type_def_11,type,
'Nat_n_n_fun_a_fun_fun$': $tType ).
tff(type_def_12,type,
'N_option_set$': $tType ).
tff(type_def_13,type,
'N_a_n_vec_fun_bool_fun$': $tType ).
tff(type_def_14,type,
'N_n_a_fun_fun$': $tType ).
tff(type_def_15,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_16,type,
'N_nat_prod_set$': $tType ).
tff(type_def_17,type,
'N_a_n_vec_a_n_vec_fun_fun$': $tType ).
tff(type_def_18,type,
'A_n_n_fun_vec_n_vec$': $tType ).
tff(type_def_19,type,
'N_nat_a_n_vec_fun_fun$': $tType ).
tff(type_def_20,type,
'A_nat_fun$': $tType ).
tff(type_def_21,type,
'Nat_a_fun$': $tType ).
tff(type_def_22,type,
'A_set_set$': $tType ).
tff(type_def_23,type,
'Nat_nat_fun_set$': $tType ).
tff(type_def_24,type,
'A_n_fun$': $tType ).
tff(type_def_25,type,
'A_a_n_vec_fun$': $tType ).
tff(type_def_26,type,
'A_n_vec_n_n_fun_vec$': $tType ).
tff(type_def_27,type,
'A_n_vec_set$': $tType ).
tff(type_def_28,type,
'Nat_nat_nat_fun_fun$': $tType ).
tff(type_def_29,type,
'N_a_fun_set$': $tType ).
tff(type_def_30,type,
'A_n_vec_a_fun$': $tType ).
tff(type_def_31,type,
'A_n_vec_n_vec_bool_fun$': $tType ).
tff(type_def_32,type,
'Nat_n_sum_set$': $tType ).
tff(type_def_33,type,
'N_a_n_vec_fun$': $tType ).
tff(type_def_34,type,
'Int_set$': $tType ).
tff(type_def_35,type,
'Int_int_fun$': $tType ).
tff(type_def_36,type,
'N_n_vec$': $tType ).
tff(type_def_37,type,
'N_n_sum_set$': $tType ).
tff(type_def_38,type,
'A_n_vec_n_vec_a_fun$': $tType ).
tff(type_def_39,type,
'N_nat_fun$': $tType ).
tff(type_def_40,type,
'N_set$': $tType ).
tff(type_def_41,type,
'Nat_nat_prod_set$': $tType ).
tff(type_def_42,type,
'A_n_vec_n_vec$': $tType ).
tff(type_def_43,type,
'N_a_n_vec_bool_fun_fun$': $tType ).
tff(type_def_44,type,
'Nat_n_fun$': $tType ).
tff(type_def_45,type,
'N_nat_sum_set$': $tType ).
tff(type_def_46,type,
'A_n_vec_nat_fun$': $tType ).
tff(type_def_47,type,
'N_a_n_vec_n_vec_bool_fun_fun$': $tType ).
tff(type_def_48,type,
'A_n_vec_a_n_vec_bool_fun_fun$': $tType ).
tff(type_def_49,type,
'N_n_fun_a_n_vec_fun$': $tType ).
tff(type_def_50,type,
'Nat_nat_fun$': $tType ).
tff(type_def_51,type,
'N_a_n_vec_n_vec_fun_set$': $tType ).
tff(type_def_52,type,
'Nat_n_vec_n_vec$': $tType ).
tff(type_def_53,type,
'Nat$': $tType ).
tff(type_def_54,type,
'N_nat_fun_set$': $tType ).
tff(type_def_55,type,
'A_n_vec_n_vec_set$': $tType ).
tff(type_def_56,type,
'N_int_fun$': $tType ).
tff(type_def_57,type,
'N$': $tType ).
tff(type_def_58,type,
'A_a_n_vec_a_n_vec_fun_fun$': $tType ).
tff(type_def_59,type,
'N_a_fun_bool_fun$': $tType ).
tff(type_def_60,type,
'N_nat_fun_bool_fun$': $tType ).
tff(type_def_61,type,
'N_n_fun_bool_fun$': $tType ).
tff(type_def_62,type,
'N_a_set_fun$': $tType ).
tff(type_def_63,type,
'N_n_fun_set$': $tType ).
tff(type_def_64,type,
'N_n_fun_a_fun$': $tType ).
tff(type_def_65,type,
'Nat_n_a_fun_fun$': $tType ).
tff(type_def_66,type,
'Nat_nat_sum_set$': $tType ).
tff(type_def_67,type,
tlbool: $tType ).
tff(type_def_68,type,
'A_a_bool_fun_fun$': $tType ).
tff(type_def_69,type,
'N_n_fun_n_a_fun_fun$': $tType ).
tff(type_def_70,type,
'N_nat_a_fun_fun$': $tType ).
tff(type_def_71,type,
'A_a_n_vec_n_vec_fun$': $tType ).
tff(type_def_72,type,
'N_a_n_vec_fun_set$': $tType ).
tff(type_def_73,type,
'N_n_prod_set$': $tType ).
tff(type_def_74,type,
'N_a_bool_fun_fun$': $tType ).
tff(type_def_75,type,
'A_bool_fun$': $tType ).
tff(type_def_76,type,
'A_set$': $tType ).
tff(type_def_77,type,
'N_a_fun$': $tType ).
tff(type_def_78,type,
'Nat_nat_fun_n_vec$': $tType ).
tff(type_def_79,type,
'N_a_n_vec_n_vec_n_vec_fun$': $tType ).
tff(type_def_80,type,
'Nat_nat_set_fun$': $tType ).
tff(type_def_81,type,
'N_n_a_set_fun_fun$': $tType ).
tff(type_def_82,type,
'A$': $tType ).
tff(type_def_83,type,
'N_n_n_fun_a_fun_fun$': $tType ).
tff(type_def_84,type,
'N_n_fun$': $tType ).
tff(type_def_85,type,
'Nat_n_vec$': $tType ).
tff(type_def_86,type,
'A_n_vec$': $tType ).
tff(type_def_87,type,
'A_a_a_fun_fun$': $tType ).
tff(type_def_88,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_89,type,
'Nat_option_set$': $tType ).
tff(type_def_90,type,
'A_n_vec_a_n_vec_fun$': $tType ).
tff(type_def_91,type,
'N_n_fun_nat_a_fun_fun$': $tType ).
tff(type_def_92,type,
'A_n_vec_n_vec_n_vec_n_vec$': $tType ).
tff(type_def_93,type,
'A_a_fun$': $tType ).
tff(type_def_94,type,
'Nat_ennreal_fun$': $tType ).
tff(type_def_95,type,
'A_n_vec_n_vec_n_vec$': $tType ).
tff(type_def_96,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_97,type,
'N_nat_bool_fun_fun$': $tType ).
tff(type_def_98,type,
'Nat_nat_fun_bool_fun$': $tType ).
tff(type_def_99,type,
'Nat_bool_fun$': $tType ).
tff(type_def_100,type,
'Ennreal$': $tType ).
tff(type_def_101,type,
'N_set_set$': $tType ).
tff(type_def_102,type,
'N_a_n_vec_set_fun$': $tType ).
tff(type_def_103,type,
'Nat_n_a_n_vec_fun_fun$': $tType ).
tff(type_def_104,type,
'A_n_vec_bool_fun$': $tType ).
tff(type_def_105,type,
'Nat_set$': $tType ).
tff(type_def_106,type,
'N_a_n_vec_n_vec_fun_bool_fun$': $tType ).
tff(type_def_107,type,
'N_n_bool_fun_fun$': $tType ).
tff(type_def_108,type,
'Nat_nat_a_fun_fun$': $tType ).
tff(type_def_109,type,
'Int_n_vec$': $tType ).
tff(type_def_110,type,
'Nat_n_bool_fun_fun$': $tType ).
tff(type_def_111,type,
'N_bool_fun$': $tType ).
tff(type_def_112,type,
'A_n_n_fun_vec_n_n_fun_vec$': $tType ).
tff(type_def_113,type,
'Nat_a_n_vec_fun$': $tType ).
tff(type_def_114,type,
'N_a_n_vec_n_vec_fun$': $tType ).
tff(func_def_0,type,
'van$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_1,type,
'plus$a': 'A$' > 'A_a_fun$' ).
tff(func_def_2,type,
'vdw$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_3,type,
'vcz$': ( 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' * 'N_n_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_4,type,
'prod$b': ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Ennreal$' ).
tff(func_def_5,type,
'sum$n': ( 'A_a_fun$' * 'A_set$' ) > 'A$' ).
tff(func_def_6,type,
'vee$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' * 'N$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_7,type,
'plus$b': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_8,type,
'uvl$': 'N_n_fun_set$' > 'N_n_fun_bool_fun$' ).
tff(func_def_9,type,
'vec_lambda$c': 'N_a_n_vec_n_vec_fun$' > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_10,type,
'set_of_vector$e': 'Nat_n_vec$' > 'Nat_set$' ).
tff(func_def_11,type,
'uvr$': ( 'A$' * 'Nat_a_fun$' ) > 'Nat_a_fun$' ).
tff(func_def_12,type,
'top$v': 'N_n_sum_set$' ).
tff(func_def_13,type,
'transpose_row$b': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_14,type,
'uyo$': 'N_n_n_fun_a_fun_fun$' > 'N_n_fun_n_a_fun_fun$' ).
tff(func_def_15,type,
'trace$a': 'A_n_n_fun_vec_n_n_fun_vec$' > 'A$' ).
tff(func_def_16,type,
'map_matrix$h': ( 'A_n_vec_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_17,type,
'uwc$': 'A_bool_fun$' ).
tff(func_def_18,type,
'top$w': 'Nat_option_set$' ).
tff(func_def_19,type,
'sum$a': ( 'N_a_fun$' * 'N_set$' ) > 'A$' ).
tff(func_def_20,type,
'vaf$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_21,type,
'span$': ( 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec_set$' ) > 'A_n_vec_set$' ).
tff(func_def_22,type,
'fun_app$ab': ( 'Nat_nat_a_fun_fun$' * 'Nat$' ) > 'Nat_a_fun$' ).
tff(func_def_23,type,
'uud$': 'N_a_n_vec_fun$' ).
tff(func_def_24,type,
'h$': 'N_a_fun$' ).
tff(func_def_25,type,
'vcu$': ( 'Nat_bool_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_26,type,
'vam$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_27,type,
'uwk$': ( 'A_n_vec$' * 'A_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_28,type,
'vaz$': 'A_a_fun$' ).
tff(func_def_29,type,
'fun_app$ao': ( 'Nat_nat_nat_fun_fun$' * 'Nat$' ) > 'Nat_nat_fun$' ).
tff(func_def_30,type,
'det$': 'A_n_vec_n_vec_a_fun$' ).
tff(func_def_31,type,
'uzh$': ( 'Nat_n_vec_n_vec$' * 'Nat_n_vec$' * 'N$' ) > 'N_nat_fun$' ).
tff(func_def_32,type,
'vcp$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_33,type,
'uwl$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_34,type,
'top$a': 'N_a_n_vec_n_vec_fun_set$' ).
tff(func_def_35,type,
'uuy$': 'N_a_fun_bool_fun$' ).
tff(func_def_36,type,
'vbw$': ( 'Nat_set$' * 'Nat_n_a_fun_fun$' * 'Nat_n_bool_fun_fun$' ) > 'N_a_fun$' ).
tff(func_def_37,type,
'coord$': 'A_n_vec_n_vec$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_38,type,
'vdf$': ( 'N_a_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_39,type,
'uus$': ( tlbool * 'N_a_fun$' * 'N_a_fun$' ) > 'N_a_fun_bool_fun$' ).
tff(func_def_40,type,
'vbv$': ( 'N_set$' * 'Nat_n_a_fun_fun$' * 'Nat_n_bool_fun_fun$' ) > 'Nat_a_fun$' ).
tff(func_def_41,type,
'uzi$': ( 'A_n_n_fun_vec_n_vec$' * 'A_n_n_fun_vec$' ) > 'N_n_n_fun_a_fun_fun$' ).
tff(func_def_42,type,
'fun_app$bc': ( 'A_nat_fun$' * 'A$' ) > 'Nat$' ).
tff(func_def_43,type,
'vdr$': ( 'A_n_vec_a_n_vec_fun$' * 'A_n_vec_a_n_vec_fun$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_44,type,
'vcs$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_45,type,
'uyj$': ( 'Nat_nat_a_fun_fun$' * 'Nat_set$' ) > 'Nat_a_fun$' ).
tff(func_def_46,type,
'fun_app$av': ( 'Nat_n_bool_fun_fun$' * 'Nat$' ) > 'N_bool_fun$' ).
tff(func_def_47,type,
'uve$': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_48,type,
'uzv$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_49,type,
'row_add$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'A_a_n_vec_n_vec_fun$' ).
tff(func_def_50,type,
'vae$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_51,type,
'ved$': ( 'Nat_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_52,type,
'map_matrix$i': ( 'A_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec_n_vec$' ).
tff(func_def_53,type,
'collect$d': 'A_n_vec_bool_fun$' > 'A_n_vec_set$' ).
tff(func_def_54,type,
'uvo$': ( 'Nat_a_fun$' * 'A$' ) > 'Nat_a_fun$' ).
tff(func_def_55,type,
'y$': 'A_n_vec_n_vec$' ).
tff(func_def_56,type,
'vcx$': 'N_nat_fun$' > 'Nat_bool_fun$' ).
tff(func_def_57,type,
'top$aa': 'Nat_nat_prod_set$' ).
tff(func_def_58,type,
'uyv$': ( 'N_n_fun_n_a_fun_fun$' * 'N_n_fun_set$' ) > 'N_a_fun$' ).
tff(func_def_59,type,
'top$s': 'Nat_nat_sum_set$' ).
tff(func_def_60,type,
'vef$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_61,type,
'vdn$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_62,type,
'vdm$': ( 'N$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_63,type,
'uxi$': ( 'N_n_fun_a_fun$' * 'N_a_fun$' * 'N_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_64,type,
'matrix_scalar_mult$': ( 'A$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_65,type,
'fun_app$ai': ( 'Nat_n_a_fun_fun$' * 'Nat$' ) > 'N_a_fun$' ).
tff(func_def_66,type,
'mult_row$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'A_a_n_vec_n_vec_fun$' ).
tff(func_def_67,type,
'uxj$': ( 'N_n_fun_a_fun$' * 'Nat_a_fun$' ) > 'N_n_fun_nat_a_fun_fun$' ).
tff(func_def_68,type,
'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_69,type,
'uws$': ( 'N_a_n_vec_fun$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_70,type,
'columnvector_row$a': ( 'Nat_n_vec$' * 'N$' ) > 'Nat_n_vec$' ).
tff(func_def_71,type,
'uvp$': ( 'N_n_fun_a_fun$' * 'A$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_72,type,
'zero$': 'A_n_vec$' ).
tff(func_def_73,type,
'scalar_product$d': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_74,type,
'top$d': 'N_a_fun_set$' ).
tff(func_def_75,type,
'vaw$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_76,type,
'uut$': ( 'A_n_vec$' * 'N_a_n_vec_n_vec_fun$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_77,type,
'fun_app$c': ( 'A_a_n_vec_a_n_vec_fun_fun$' * 'A$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_78,type,
'uzk$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_79,type,
'fun_app$aq': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_80,type,
'vdv$': 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_81,type,
'vbx$': ( 'Nat_set$' * 'N_nat_bool_fun_fun$' ) > 'N_nat_bool_fun_fun$' ).
tff(func_def_82,type,
'vbs$': 'Nat_n_a_n_vec_fun_fun$' > 'N_nat_a_n_vec_fun_fun$' ).
tff(func_def_83,type,
'times$j': ( 'N_a_fun_set$' * 'N_a_fun_set$' ) > 'N_a_fun_set$' ).
tff(func_def_84,type,
'uum$': 'N_a_fun$' > 'N_a_fun_bool_fun$' ).
tff(func_def_85,type,
'mult_row_row$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_86,type,
'collect$c': 'N_a_fun_bool_fun$' > 'N_a_fun_set$' ).
tff(func_def_87,type,
'vec_nth$e': ( 'Nat_n_vec_n_vec$' * 'N$' ) > 'Nat_n_vec$' ).
tff(func_def_88,type,
'matrix_vector_mult$c': ( 'A_n_vec_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_89,type,
'collect$f': 'N_n_fun_bool_fun$' > 'N_n_fun_set$' ).
tff(func_def_90,type,
'prod$a': ( 'N_a_n_vec_fun$' * 'N_set$' ) > 'A_n_vec$' ).
tff(func_def_91,type,
'uxe$': ( 'N_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$' ) > 'N_a_fun$' ).
tff(func_def_92,type,
'val$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_93,type,
'top$m': 'N_n_fun_bool_fun$' ).
tff(func_def_94,type,
'uwa$': 'N_a_n_vec_fun_bool_fun$' ).
tff(func_def_95,type,
'uwh$': ( 'A_n_n_fun_vec$' * 'A_n_n_fun_vec$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_96,type,
'times$c': 'Nat_nat_nat_fun_fun$' ).
tff(func_def_97,type,
'vbj$': ( 'N$' * 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_98,type,
'matrix_vector_mult$': 'A_n_vec_n_vec$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_99,type,
'uun$': ( 'Nat_a_fun$' * 'A_n_vec$' ) > 'Nat_a_n_vec_fun$' ).
tff(func_def_100,type,
'vbd$': ( 'N_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_101,type,
'columnvector_row$': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$' ).
tff(func_def_102,type,
'matrix_change_of_basis$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_103,type,
'zero$a': 'A$' ).
tff(func_def_104,type,
'uwt$': ( 'N_a_fun$' * 'N_a_fun$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_105,type,
'cart_basis$': 'A_n_vec_n_vec$' ).
tff(func_def_106,type,
'vay$': ( 'A_n_vec_a_fun$' * 'A_n_vec$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_107,type,
'fun_app$y': ( 'N_n_fun$' * 'N$' ) > 'N$' ).
tff(func_def_108,type,
'uxh$': ( 'N_n_fun_a_fun$' * 'N_a_fun$' ) > 'N_n_fun_n_a_fun_fun$' ).
tff(func_def_109,type,
'comp$': ( 'A_n_vec_a_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_fun$' ).
tff(func_def_110,type,
'vbf$': ( 'A_n_vec_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_111,type,
'x$a': 'N$' ).
tff(func_def_112,type,
'uuk$': 'N_a_n_vec_fun$' > 'N_n_a_fun_fun$' ).
tff(func_def_113,type,
'vector_scalar_mult$c': ( 'Nat$' * 'Nat_n_vec$' ) > 'Nat_n_vec$' ).
tff(func_def_114,type,
'uuj$': 'N_a_n_vec_n_vec_fun$' > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_115,type,
'vdg$': ( 'N$' * 'N$' * 'A_n_vec_n_vec$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_116,type,
'fun_app$an': ( 'N_n_a_set_fun_fun$' * 'N$' ) > 'N_a_set_fun$' ).
tff(func_def_117,type,
'scalar_product$c': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_118,type,
'uyx$': 'N_n_fun_nat_a_fun_fun$' > 'Nat_n_n_fun_a_fun_fun$' ).
tff(func_def_119,type,
'uxv$': ( 'N_n_a_fun_fun$' * 'N_set$' ) > 'N_a_fun$' ).
tff(func_def_120,type,
'vdx$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_121,type,
'vec$b': 'A_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_122,type,
'times$': 'A_a_a_fun_fun$' ).
tff(func_def_123,type,
'times$e': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_124,type,
'columnvector_row$c': 'A_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_125,type,
'times$p': ( 'Nat_set_set$' * 'Nat_set_set$' ) > 'Nat_set_set$' ).
tff(func_def_126,type,
'times$n': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_127,type,
'uwm$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_128,type,
'sum$c': ( 'N_n_fun_a_fun$' * 'N_n_fun_set$' ) > 'A$' ).
tff(func_def_129,type,
'interchange_columns_row$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_130,type,
'fun_app$j': ( 'A_n_vec_a_fun$' * 'A_n_vec$' ) > 'A$' ).
tff(func_def_131,type,
'top$': 'N_set$' ).
tff(func_def_132,type,
'vcc$': ( 'N_set$' * 'N_n_bool_fun_fun$' ) > 'N_n_bool_fun_fun$' ).
tff(func_def_133,type,
'map_matrix$a': ( 'A_a_n_vec_fun$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_134,type,
'collect$h': 'A_n_vec_n_vec_bool_fun$' > 'A_n_vec_n_vec_set$' ).
tff(func_def_135,type,
'times$a': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_136,type,
'uup$': ( 'N_a_fun$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_137,type,
'uwu$': ( 'N_a_fun$' * 'N_a_fun$' * 'N_set$' ) > 'N_a_fun$' ).
tff(func_def_138,type,
'uzo$': 'A_n_vec$' > 'A_a_n_vec_fun$' ).
tff(func_def_139,type,
'vde$': ( 'N_set$' * 'N_a_set_fun$' ) > 'A_bool_fun$' ).
tff(func_def_140,type,
'fun_app$z': ( 'N_n_a_n_vec_fun_fun$' * 'N$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_141,type,
'times$o': ( 'A_set_set$' * 'A_set_set$' ) > 'A_set_set$' ).
tff(func_def_142,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_143,type,
'top$j': 'N_n_fun_set$' ).
tff(func_def_144,type,
'uvw$': ( 'A_n_vec_n_vec$' * 'N_a_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_145,type,
'fun_app$ba': ( 'N_a_n_vec_n_vec_bool_fun_fun$' * 'N$' ) > 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_146,type,
'columnvector_row$b': 'A_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_147,type,
'vac$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_148,type,
'fun_app$bh': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).
tff(func_def_149,type,
'uxr$': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_150,type,
'vaj$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_151,type,
'mat_row$a': 'A$' > 'N_a_n_vec_fun$' ).
tff(func_def_152,type,
'fun_app$bg': ( 'Nat_n_fun$' * 'Nat$' ) > 'N$' ).
tff(func_def_153,type,
'map_matrix$d': ( 'A_nat_fun$' * 'A_n_vec_n_vec$' ) > 'Nat_n_vec_n_vec$' ).
tff(func_def_154,type,
'sum$b': ( 'N_a_n_vec_n_vec_fun$' * 'N_set$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_155,type,
'uub$': 'N_a_n_vec_fun$' ).
tff(func_def_156,type,
'vdt$': ( 'N_a_n_vec_fun$' * 'N_bool_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_157,type,
'vec_nth$a': 'A_n_vec$' > 'N_a_fun$' ).
tff(func_def_158,type,
'uzg$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_159,type,
'veb$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_160,type,
'vec_nth$c': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$' ).
tff(func_def_161,type,
'vdq$': ( 'N_a_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_162,type,
'vector_scalar_mult$b': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_163,type,
'fun_app$am': ( 'N_a_set_fun$' * 'N$' ) > 'A_set$' ).
tff(func_def_164,type,
'vec_nth$': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_165,type,
'vah$': ( 'N$' * 'A_n_vec_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_166,type,
'vdo$': ( 'A_n_vec$' * 'A_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_167,type,
'vba$': ( 'A_n_vec_a_n_vec_fun$' * 'A$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_168,type,
'prod$c': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_169,type,
'vdp$': ( 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_170,type,
'fun_app$ak': ( 'N_n_fun_n_a_fun_fun$' * 'N_n_fun$' ) > 'N_a_fun$' ).
tff(func_def_171,type,
'uxm$': ( 'N_n_fun_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_172,type,
'vbr$': ( 'N_set$' * 'Nat_n_a_n_vec_fun_fun$' * 'Nat_n_bool_fun_fun$' ) > 'Nat_a_n_vec_fun$' ).
tff(func_def_173,type,
'g$': 'N_a_fun$' ).
tff(func_def_174,type,
'uxt$': 'A_n_vec_n_vec$' > 'A_n_vec_bool_fun$' ).
tff(func_def_175,type,
'times$f': ( 'Nat_n_vec$' * 'Nat_n_vec$' ) > 'Nat_n_vec$' ).
tff(func_def_176,type,
'fun_app$ar': ( 'N_n_fun_a_n_vec_fun$' * 'N_n_fun$' ) > 'A_n_vec$' ).
tff(func_def_177,type,
'vcl$': ( 'N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_178,type,
'fun_app$v': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_179,type,
'vec_nth$m': 'A_n_vec_n_n_fun_vec$' > 'N_n_fun_a_n_vec_fun$' ).
tff(func_def_180,type,
'vdh$': 'N_a_n_vec_fun$' ).
tff(func_def_181,type,
'map_matrix$g': ( 'A_n_vec_a_n_vec_fun$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_182,type,
'top$f': 'A_set$' ).
tff(func_def_183,type,
'fun_app$ah': ( 'N_nat_a_fun_fun$' * 'N$' ) > 'Nat_a_fun$' ).
tff(func_def_184,type,
'uyy$': ( 'N_n_fun_nat_a_fun_fun$' * 'N_n_fun_set$' ) > 'Nat_a_fun$' ).
tff(func_def_185,type,
'uww$': ( 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_set$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_186,type,
'vec$': 'Nat_nat_fun$' > 'Nat_bool_fun$' ).
tff(func_def_187,type,
'transpose_row$c': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_188,type,
'vbk$': ( 'A$' * 'A_n_vec_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_189,type,
'span$a': ( 'A_a_a_fun_fun$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_190,type,
'uwj$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_191,type,
'sum$q': ( 'Nat_nat_set_fun$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_192,type,
'fun_app$ac': ( 'N_n_fun_nat_a_fun_fun$' * 'N_n_fun$' ) > 'Nat_a_fun$' ).
tff(func_def_193,type,
'uxp$': 'N_n_fun_n_vec$' > 'N_n_fun_bool_fun$' ).
tff(func_def_194,type,
'top$ab': 'Nat_n_prod_set$' ).
tff(func_def_195,type,
'uya$': ( 'N_n_a_n_vec_fun_fun$' * 'N_set$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_196,type,
'vdy$': 'A_a_fun$' ).
tff(func_def_197,type,
'uxa$': ( 'Nat_a_fun$' * 'N_a_fun$' * 'N_set$' ) > 'Nat_a_fun$' ).
tff(func_def_198,type,
'vak$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_199,type,
'prod$': ( 'N_a_fun$' * 'N_set$' ) > 'A$' ).
tff(func_def_200,type,
'uyi$': 'Nat_nat_a_fun_fun$' > 'Nat_nat_a_fun_fun$' ).
tff(func_def_201,type,
'uyp$': ( 'N_n_n_fun_a_fun_fun$' * 'N_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_202,type,
'mat_row$': 'A_n_vec$' > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_203,type,
'uzn$': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_204,type,
'vcy$': ( 'N_set$' * 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_205,type,
'uua$': 'N_a_fun_bool_fun$' ).
tff(func_def_206,type,
'uzy$': ( 'N_a_n_vec_fun$' * 'N_set$' ) > 'N_a_fun$' ).
tff(func_def_207,type,
'vbn$': ( 'N_n_a_n_vec_fun_fun$' * 'N_n_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_208,type,
'veg$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_209,type,
'fun_app$w': ( 'A_n_vec_n_vec_a_fun$' * 'A_n_vec_n_vec$' ) > 'A$' ).
tff(func_def_210,type,
'fun_app$au': ( 'N_a_n_vec_set_fun$' * 'N$' ) > 'A_n_vec_set$' ).
tff(func_def_211,type,
tltrue: tlbool ).
tff(func_def_212,type,
'uxc$': ( 'Nat_a_fun$' * 'Nat_a_fun$' * 'Nat_set$' ) > 'Nat_a_fun$' ).
tff(func_def_213,type,
'uvh$': 'N_a_fun_set$' > 'N_a_fun_bool_fun$' ).
tff(func_def_214,type,
'vdc$': ( 'Nat_set$' * 'Nat_nat_set_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_215,type,
'comp$d': ( 'A_n_vec_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_216,type,
'vector_scalar_mult$a': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_217,type,
'vec_lambda$': 'N_a_fun$' > 'A_n_vec$' ).
tff(func_def_218,type,
'times$d': $int > 'Int_int_fun$' ).
tff(func_def_219,type,
'matrix$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_220,type,
'map_matrix$': ( 'A_a_fun$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_221,type,
'map_matrix$e': ( 'Nat_a_n_vec_fun$' * 'Nat_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_222,type,
'top$x': 'N_option_set$' ).
tff(func_def_223,type,
'vbe$': ( 'N_set$' * 'N_a_n_vec_a_n_vec_fun_fun$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_224,type,
'x$': 'A_n_vec_n_vec$' ).
tff(func_def_225,type,
'uzq$': ( 'A_n_vec_n_vec$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_226,type,
'vag$': 'A_n_vec_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_227,type,
'fun_app$bj': ( 'A_n_vec_a_n_vec_bool_fun_fun$' * 'A_n_vec$' ) > 'A_n_vec_bool_fun$' ).
tff(func_def_228,type,
'uyd$': ( 'N_nat_a_fun_fun$' * 'N_set$' ) > 'Nat_a_fun$' ).
tff(func_def_229,type,
'uvb$': 'Nat_n_vec_n_vec$' > 'N_nat_fun$' ).
tff(func_def_230,type,
'top$c': 'N_a_n_vec_fun_set$' ).
tff(func_def_231,type,
'set_of_vector$f': 'A_n_vec$' > 'A_set$' ).
tff(func_def_232,type,
'uwz$': ( 'Nat_a_fun$' * 'N_a_fun$' ) > 'Nat_n_a_fun_fun$' ).
tff(func_def_233,type,
'sum$j': ( 'N_a_n_vec_set_fun$' * 'N_set$' ) > 'A_n_vec_set$' ).
tff(func_def_234,type,
'vcv$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' * 'Nat_nat_nat_fun_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_235,type,
'trace$d': 'A_n_vec_n_vec_a_fun$' ).
tff(func_def_236,type,
'sum$i': ( 'N_a_n_vec_n_vec_n_vec_fun$' * 'N_set$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_237,type,
'collect$e': 'A_bool_fun$' > 'A_set$' ).
tff(func_def_238,type,
'uxq$': 'Nat_nat_fun_n_vec$' > 'Nat_nat_fun_bool_fun$' ).
tff(func_def_239,type,
'vbi$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_240,type,
'uvj$': 'A_n_vec_set$' > 'A_n_vec_bool_fun$' ).
tff(func_def_241,type,
'fun_app$at': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_242,type,
'vbt$': ( 'Nat_set$' * 'Nat_n_bool_fun_fun$' ) > 'N_nat_bool_fun_fun$' ).
tff(func_def_243,type,
'row_add_row$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_244,type,
'vds$': ( 'N_set$' * 'N_bool_fun$' ) > 'N_bool_fun$' ).
tff(func_def_245,type,
'vbu$': ( 'Nat_set$' * 'Nat_n_a_n_vec_fun_fun$' * 'Nat_n_bool_fun_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_246,type,
'vce$': ( 'N_set$' * 'N_n_bool_fun_fun$' ) > 'N_n_bool_fun_fun$' ).
tff(func_def_247,type,
'uuc$': 'N$' > 'N_a_fun_bool_fun$' ).
tff(func_def_248,type,
'uyc$': 'N_nat_a_fun_fun$' > 'Nat_n_a_fun_fun$' ).
tff(func_def_249,type,
'fun_app$b': ( 'A_n_vec_a_n_vec_fun$' * 'A_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_250,type,
'uxn$': 'A_n_vec_n_vec$' > 'A_n_vec_bool_fun$' ).
tff(func_def_251,type,
'vbg$': ( 'N$' * 'A$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_252,type,
'uur$': 'A_n_vec_a_fun$' > 'N_a_n_vec_fun$' ).
tff(func_def_253,type,
'uxx$': ( 'N_n_a_fun_fun$' * 'N_set$' ) > 'N_a_fun$' ).
tff(func_def_254,type,
'top$n': 'Nat_nat_fun_set$' ).
tff(func_def_255,type,
'w$': 'N_a_fun$' ).
tff(func_def_256,type,
'uxy$': ( 'N_n_a_n_vec_fun_fun$' * 'N_set$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_257,type,
'fun_app$as': ( 'N_a_n_vec_bool_fun_fun$' * 'N$' ) > 'A_n_vec_bool_fun$' ).
tff(func_def_258,type,
'vec_nth$d': 'Nat_n_vec$' > 'N_nat_fun$' ).
tff(func_def_259,type,
'uzp$': 'A$' > 'A_a_fun$' ).
tff(func_def_260,type,
'uwf$': ( 'Int_n_vec$' * 'Int_n_vec$' ) > 'N_int_fun$' ).
tff(func_def_261,type,
'vec_nth$i': ( 'N_n_fun_n_vec$' * 'N$' ) > 'N_n_fun$' ).
tff(func_def_262,type,
'uxw$': 'N_n_a_fun_fun$' > 'N_n_a_fun_fun$' ).
tff(func_def_263,type,
'set_of_vector$c': 'Nat_nat_fun_n_vec$' > 'Nat_nat_fun_set$' ).
tff(func_def_264,type,
'row$': ( 'N$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_265,type,
'uxs$': 'Nat_n_vec$' > 'Nat_bool_fun$' ).
tff(func_def_266,type,
'uvi$': 'N_set$' > 'N_bool_fun$' ).
tff(func_def_267,type,
'sum$p': ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Ennreal$' ).
tff(func_def_268,type,
'uzw$': ( 'A$' * 'A_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_269,type,
'uyr$': 'Nat_n_n_fun_a_fun_fun$' > 'N_n_fun_nat_a_fun_fun$' ).
tff(func_def_270,type,
'uzs$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_271,type,
'top$b': 'N_nat_fun_set$' ).
tff(func_def_272,type,
'uuo$': ( 'N_n_fun_a_fun$' * 'A_n_vec$' ) > 'N_n_fun_a_n_vec_fun$' ).
tff(func_def_273,type,
'vector_matrix_mult$c': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_274,type,
'vdi$': 'N_a_fun$' ).
tff(func_def_275,type,
'fun_app$i': ( 'N_n_fun_a_fun$' * 'N_n_fun$' ) > 'A$' ).
tff(func_def_276,type,
'var$': ( 'N$' * 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_277,type,
'vav$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_278,type,
'matrix_vector_mult$b': ( 'A_n_n_fun_vec_n_vec$' * 'A_n_n_fun_vec$' ) > 'A_n_vec$' ).
tff(func_def_279,type,
'vbq$': ( 'N_set$' * 'Nat_n_bool_fun_fun$' ) > 'Nat_n_bool_fun_fun$' ).
tff(func_def_280,type,
'uwn$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_281,type,
'mat_mult_row$a': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_282,type,
'vai$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_283,type,
'uvu$': 'A_n_vec_a_fun$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_284,type,
'vec_lambda$b': 'N_nat_fun$' > 'Nat_n_vec$' ).
tff(func_def_285,type,
'vax$': 'A$' > 'A_a_fun$' ).
tff(func_def_286,type,
'uym$': ( 'N_n_a_set_fun_fun$' * 'N_set$' ) > 'N_a_set_fun$' ).
tff(func_def_287,type,
'fun_app$bi': ( 'Nat_ennreal_fun$' * 'Nat$' ) > 'Ennreal$' ).
tff(func_def_288,type,
'column_add$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'A_a_n_vec_n_vec_fun$' ).
tff(func_def_289,type,
'uvs$': ( 'A$' * 'N_n_fun_a_fun$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_290,type,
'vdd$': ( 'N_set$' * 'N_a_n_vec_set_fun$' ) > 'A_n_vec_bool_fun$' ).
tff(func_def_291,type,
'fun_app$bk': ( 'A_a_bool_fun_fun$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_292,type,
'divide$': 'A$' > 'A_a_fun$' ).
tff(func_def_293,type,
'vec_nth$j': 'N_n_vec$' > 'N_n_fun$' ).
tff(func_def_294,type,
'f$': 'N_a_fun$' ).
tff(func_def_295,type,
'uuh$': 'N_n_fun_a_n_vec_fun$' > 'N_n_n_fun_a_fun_fun$' ).
tff(func_def_296,type,
'mat_mult_row$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_297,type,
'fun_app$af': ( 'N_nat_a_n_vec_fun_fun$' * 'N$' ) > 'Nat_a_n_vec_fun$' ).
tff(func_def_298,type,
'uzf$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_299,type,
'sum$m': ( 'N_int_fun$' * 'N_set$' ) > $int ).
tff(func_def_300,type,
'uuv$': 'N_a_fun$' > 'N_a_n_vec_fun$' ).
tff(func_def_301,type,
'uvz$': 'Nat_nat_fun_bool_fun$' ).
tff(func_def_302,type,
'uzr$': 'A_n_vec_n_vec$' > 'N_n_a_fun_fun$' ).
tff(func_def_303,type,
'vbb$': 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_304,type,
'uyf$': 'Nat_n_a_fun_fun$' > 'N_nat_a_fun_fun$' ).
tff(func_def_305,type,
'vda$': ( 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_306,type,
'vco$': 'Nat_nat_bool_fun_fun$' > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_307,type,
'uue$': 'N_a_fun$' > 'N_a_n_vec_fun$' ).
tff(func_def_308,type,
'trace$b': 'A_n_vec_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_309,type,
'top$ac': 'N_nat_prod_set$' ).
tff(func_def_310,type,
'matrix$a': 'A_n_vec_a_n_vec_fun$' > 'A_n_vec_n_vec$' ).
tff(func_def_311,type,
'vcj$': ( 'N_set$' * 'N_n_a_fun_fun$' * 'N_n_bool_fun_fun$' ) > 'N_a_fun$' ).
tff(func_def_312,type,
'uzz$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_fun_bool_fun$' ).
tff(func_def_313,type,
'scalar_product$b': ( 'A_n_n_fun_vec$' * 'A_n_n_fun_vec$' ) > 'A$' ).
tff(func_def_314,type,
'uva$': 'N_a_fun_bool_fun$' ).
tff(func_def_315,type,
'top$i': 'N_bool_fun$' ).
tff(func_def_316,type,
'uzu$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_317,type,
'uux$': 'N_a_fun$' > 'N_n_a_fun_fun$' ).
tff(func_def_318,type,
'uvf$': 'A_n_vec_n_vec$' > 'N_a_fun$' ).
tff(func_def_319,type,
'uuw$': 'N_n_a_fun_fun$' ).
tff(func_def_320,type,
'vab$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_321,type,
'fun_app$ap': ( 'N_int_fun$' * 'N$' ) > $int ).
tff(func_def_322,type,
'vdl$': ( 'N$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_323,type,
'uvc$': 'A_n_n_fun_vec_n_n_fun_vec$' > 'N_n_fun_a_fun$' ).
tff(func_def_324,type,
'matrix_matrix_mult$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_325,type,
'uwg$': ( 'Nat_n_vec$' * 'Nat_n_vec$' ) > 'N_nat_fun$' ).
tff(func_def_326,type,
'vcb$': ( 'N_set$' * 'N_nat_a_n_vec_fun_fun$' * 'N_nat_bool_fun_fun$' ) > 'Nat_a_n_vec_fun$' ).
tff(func_def_327,type,
'vby$': ( 'Nat_set$' * 'N_nat_a_n_vec_fun_fun$' * 'N_nat_bool_fun_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_328,type,
'vcn$': ( 'Nat_bool_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_329,type,
'vct$': ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_330,type,
'trace$': 'Nat_n_vec_n_vec$' > 'Nat$' ).
tff(func_def_331,type,
'transpose$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_332,type,
'mult_column$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'A_a_n_vec_n_vec_fun$' ).
tff(func_def_333,type,
'fun_app$ad': ( 'Nat_n_n_fun_a_fun_fun$' * 'Nat$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_334,type,
'vcm$': ( 'N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_fun$' ).
tff(func_def_335,type,
'uzj$': ( 'A_n_vec_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_336,type,
'times$g': ( 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_337,type,
'fun_app$h': ( 'N_nat_fun$' * 'N$' ) > 'Nat$' ).
tff(func_def_338,type,
'top$o': 'Nat_nat_fun_bool_fun$' ).
tff(func_def_339,type,
'vector_matrix_mult$d': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_340,type,
'fun_app$aa': ( 'Nat_a_fun$' * 'Nat$' ) > 'A$' ).
tff(func_def_341,type,
'map_matrix$f': ( 'A_n_vec_nat_fun$' * 'A_n_vec_n_vec_n_vec$' ) > 'Nat_n_vec_n_vec$' ).
tff(func_def_342,type,
'uza$': ( 'Nat_n_vec$' * 'Nat_n_vec_n_vec$' * 'N$' ) > 'N_nat_fun$' ).
tff(func_def_343,type,
'vector_scalar_mult$': 'A_a_n_vec_a_n_vec_fun_fun$' ).
tff(func_def_344,type,
'fun_app$a': ( 'N_a_n_vec_fun$' * 'N$' ) > 'A_n_vec$' ).
tff(func_def_345,type,
'vaq$': ( 'N$' * 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_346,type,
'uyk$': ( 'N_n_a_set_fun_fun$' * 'N_set$' ) > 'N_a_set_fun$' ).
tff(func_def_347,type,
'uzc$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec_n_vec$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_348,type,
'uvq$': ( 'N_a_fun$' * 'A$' ) > 'N_a_fun$' ).
tff(func_def_349,type,
'power$': 'A$' > 'Nat_a_fun$' ).
tff(func_def_350,type,
'vec_nth$f': 'A_n_n_fun_vec$' > 'N_n_fun_a_fun$' ).
tff(func_def_351,type,
'column$': ( 'N$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_352,type,
'fun_app$f': ( 'N_a_n_vec_n_vec_fun$' * 'N$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_353,type,
'uyl$': 'N_n_a_set_fun_fun$' > 'N_n_a_set_fun_fun$' ).
tff(func_def_354,type,
'uxf$': ( 'Nat_a_fun$' * 'N_n_fun_a_fun$' ) > 'Nat_n_n_fun_a_fun_fun$' ).
tff(func_def_355,type,
'uxl$': ( 'N_n_fun_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_356,type,
'times$m': ( 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$' ) > 'A_n_vec_n_vec_set$' ).
tff(func_def_357,type,
'uvn$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_358,type,
'vci$': ( 'N_set$' * 'N_n_a_fun_fun$' * 'N_n_bool_fun_fun$' ) > 'N_a_fun$' ).
tff(func_def_359,type,
'fun_app$be': ( 'A_a_n_vec_n_vec_fun$' * 'A$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_360,type,
'uxo$': 'N_n_vec$' > 'N_bool_fun$' ).
tff(func_def_361,type,
'vdz$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_362,type,
'vej$': 'A_n_vec_n_vec$' > 'N_a_n_vec_bool_fun_fun$' ).
tff(func_def_363,type,
'uul$': 'N_a_fun$' > 'N_a_fun_bool_fun$' ).
tff(func_def_364,type,
'vbz$': 'N_nat_a_n_vec_fun_fun$' > 'Nat_n_a_n_vec_fun_fun$' ).
tff(func_def_365,type,
'uxb$': ( 'Nat_a_fun$' * 'Nat_a_fun$' ) > 'Nat_nat_a_fun_fun$' ).
tff(func_def_366,type,
'sum$k': ( 'N_nat_fun$' * 'N_set$' ) > 'Nat$' ).
tff(func_def_367,type,
'vdb$': ( 'N_set$' * 'N_set$' ) > 'N_n_fun_bool_fun$' ).
tff(func_def_368,type,
'times$i': ( 'N_a_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_369,type,
'vca$': ( 'N_set$' * 'N_nat_bool_fun_fun$' ) > 'Nat_n_bool_fun_fun$' ).
tff(func_def_370,type,
'matrix_vector_mult$a': ( 'Nat_n_vec_n_vec$' * 'Nat_n_vec$' ) > 'Nat_n_vec$' ).
tff(func_def_371,type,
'uuz$': 'N_a_fun$' > 'N_n_a_fun_fun$' ).
tff(func_def_372,type,
'scalar_product$a': ( 'Nat_n_vec$' * 'Nat_n_vec$' ) > 'Nat$' ).
tff(func_def_373,type,
'vau$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_374,type,
'interchange_columns$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_375,type,
'fun_app$bd': ( 'A_n_vec_nat_fun$' * 'A_n_vec$' ) > 'Nat$' ).
tff(func_def_376,type,
'times$q': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_377,type,
'fun_app$bb': ( 'N_a_bool_fun_fun$' * 'N$' ) > 'A_bool_fun$' ).
tff(func_def_378,type,
'vbm$': ( 'N_set$' * 'N_n_a_n_vec_fun_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_379,type,
'uze$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_380,type,
'fun_app$k': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_381,type,
'fun_app$n': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_382,type,
'sum$d': ( 'Nat_a_fun$' * 'Nat_set$' ) > 'A$' ).
tff(func_def_383,type,
'vbo$': 'N_n_a_n_vec_fun_fun$' > 'N_n_fun_a_fun$' ).
tff(func_def_384,type,
'uwb$': 'N_a_fun_bool_fun$' ).
tff(func_def_385,type,
'uug$': 'Nat_a_n_vec_fun$' > 'N_nat_a_fun_fun$' ).
tff(func_def_386,type,
'collect$': 'N_bool_fun$' > 'N_set$' ).
tff(func_def_387,type,
'zero$b': 'A_n_vec_n_vec$' ).
tff(func_def_388,type,
'collect$g': 'Nat_nat_fun_bool_fun$' > 'Nat_nat_fun_set$' ).
tff(func_def_389,type,
'top$z': 'N_set_set$' ).
tff(func_def_390,type,
'vad$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_391,type,
'uvx$': 'A_n_vec_bool_fun$' ).
tff(func_def_392,type,
'vec_nth$l': ( 'A_n_n_fun_vec_n_vec$' * 'N$' ) > 'A_n_n_fun_vec$' ).
tff(func_def_393,type,
'fun_app$ax': ( 'N_n_bool_fun_fun$' * 'N$' ) > 'N_bool_fun$' ).
tff(func_def_394,type,
'sum$f': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_395,type,
'vbl$': ( 'A$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_396,type,
'uxd$': ( 'N_a_fun$' * 'N_n_fun_a_fun$' ) > 'N_n_n_fun_a_fun_fun$' ).
tff(func_def_397,type,
'uwx$': ( 'N_a_fun$' * 'Nat_a_fun$' ) > 'N_nat_a_fun_fun$' ).
tff(func_def_398,type,
tlfalse: tlbool ).
tff(func_def_399,type,
'uuf$': 'N_a_n_vec_fun$' ).
tff(func_def_400,type,
'map_matrix$b': ( 'A_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_401,type,
'scalar_product$': ( 'Int_n_vec$' * 'Int_n_vec$' ) > $int ).
tff(func_def_402,type,
'nat$': $int > 'Nat$' ).
tff(func_def_403,type,
'top$l': 'A_n_vec_bool_fun$' ).
tff(func_def_404,type,
'uwr$': ( 'N_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_405,type,
'vaa$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_a_n_vec_fun$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_406,type,
'vcw$': ( 'Nat_set$' * 'Nat_set$' * 'Nat$' ) > 'Nat_nat_fun_bool_fun$' ).
tff(func_def_407,type,
'fun_app$d': ( 'N_a_fun$' * 'N$' ) > 'A$' ).
tff(func_def_408,type,
'map_matrix$c': ( 'Nat_a_fun$' * 'Nat_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_409,type,
'set_of_vector$': 'A_n_vec_n_vec$' > 'A_n_vec_set$' ).
tff(func_def_410,type,
'column_add_row$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_411,type,
'det$a': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec$' ).
tff(func_def_412,type,
'uwp$': ( 'A_n_vec_n_vec$' * 'N_a_n_vec_n_vec_fun$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_413,type,
'uxz$': 'N_n_a_n_vec_fun_fun$' > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_414,type,
'fun_app$ae': ( 'Nat_a_n_vec_fun$' * 'Nat$' ) > 'A_n_vec$' ).
tff(func_def_415,type,
'vbp$': 'N_set$' > 'N_n_fun_bool_fun$' ).
tff(func_def_416,type,
'uwi$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_417,type,
'set_of_vector$b': 'N_n_fun_n_vec$' > 'N_n_fun_set$' ).
tff(func_def_418,type,
'uwo$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'N$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_419,type,
'vec_lambda$a': 'N_a_n_vec_fun$' > 'A_n_vec_n_vec$' ).
tff(func_def_420,type,
'vec_nth$b': 'A_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_421,type,
'fun_app$aw': ( 'N_nat_bool_fun_fun$' * 'N$' ) > 'Nat_bool_fun$' ).
tff(func_def_422,type,
'uye$': ( 'Nat_n_a_fun_fun$' * 'N_set$' ) > 'Nat_a_fun$' ).
tff(func_def_423,type,
'uyu$': 'N_n_fun_n_a_fun_fun$' > 'N_n_n_fun_a_fun_fun$' ).
tff(func_def_424,type,
'vea$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_425,type,
'set_of_vector$d': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_set$' ).
tff(func_def_426,type,
'veh$': ( 'N_a_fun$' * 'A$' ) > 'N_a_fun$' ).
tff(func_def_427,type,
'sum$h': ( 'N_n_fun_a_n_vec_fun$' * 'N_n_fun_set$' ) > 'A_n_vec$' ).
tff(func_def_428,type,
'top$ad': 'N_n_prod_set$' ).
tff(func_def_429,type,
'vector_matrix_mult$b': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_430,type,
'uyg$': ( 'Nat_n_a_fun_fun$' * 'Nat_set$' ) > 'N_a_fun$' ).
tff(func_def_431,type,
'top$e': 'Nat_set$' ).
tff(func_def_432,type,
'uyt$': ( 'N_n_fun_n_a_fun_fun$' * 'N_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_433,type,
'times$h': ( 'N_a_n_vec_fun_set$' * 'N_a_n_vec_fun_set$' ) > 'N_a_n_vec_fun_set$' ).
tff(func_def_434,type,
'vcf$': ( 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_n_bool_fun_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_435,type,
'fun_app$l': ( 'A_a_a_fun_fun$' * 'A$' ) > 'A_a_fun$' ).
tff(func_def_436,type,
'matrix_vector_mult$d': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_437,type,
'interchange_rows_row$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_438,type,
'uuu$': ( 'A$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_439,type,
'uxk$': ( 'N_n_fun_a_fun$' * 'Nat_a_fun$' * 'Nat_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_440,type,
'vector_matrix_mult$a': ( 'A_n_n_fun_vec$' * 'A_n_vec_n_n_fun_vec$' ) > 'A_n_vec$' ).
tff(func_def_441,type,
'uzm$': 'A$' > 'A_n_vec_a_fun$' ).
tff(func_def_442,type,
'uys$': ( 'Nat_n_n_fun_a_fun_fun$' * 'Nat_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_443,type,
'set_of_vector$a': 'N_n_vec$' > 'N_set$' ).
tff(func_def_444,type,
'fun_app$e': ( 'N_n_a_fun_fun$' * 'N$' ) > 'N_a_fun$' ).
tff(func_def_445,type,
'sum$e': ( 'N_a_set_fun$' * 'N_set$' ) > 'A_set$' ).
tff(func_def_446,type,
'vcq$': 'N_bool_fun$' > 'N_bool_fun$' ).
tff(func_def_447,type,
'top$r': 'A_bool_fun$' ).
tff(func_def_448,type,
'top$u': 'N_nat_sum_set$' ).
tff(func_def_449,type,
'fun_app$bm': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_450,type,
'uzl$': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'N_n_a_fun_fun$' ).
tff(func_def_451,type,
'top$t': 'Nat_n_sum_set$' ).
tff(func_def_452,type,
'uxg$': ( 'Nat_a_fun$' * 'N_n_fun_a_fun$' * 'N_n_fun_set$' ) > 'Nat_a_fun$' ).
tff(func_def_453,type,
'fun_app$aj': ( 'N_n_n_fun_a_fun_fun$' * 'N$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_454,type,
'sum$g': ( 'Nat_a_n_vec_fun$' * 'Nat_set$' ) > 'A_n_vec$' ).
tff(func_def_455,type,
'vck$': ( 'N_set$' * 'N$' * 'N_n_a_n_vec_fun_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_456,type,
'vei$': ( 'Nat_a_fun$' * 'Nat_a_fun$' ) > 'Nat_a_fun$' ).
tff(func_def_457,type,
'uvy$': 'N_n_fun_bool_fun$' ).
tff(func_def_458,type,
'uwe$': 'N_bool_fun$' ).
tff(func_def_459,type,
'uvg$': 'N_a_n_vec_fun_set$' > 'N_a_n_vec_fun_bool_fun$' ).
tff(func_def_460,type,
'v$': 'A_n_vec$' ).
tff(func_def_461,type,
'vek$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_462,type,
'top$ae': 'Ennreal$' ).
tff(func_def_463,type,
'fun_app$bf': ( 'A_n_fun$' * 'A$' ) > 'N$' ).
tff(func_def_464,type,
'uvd$': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_465,type,
'top$k': 'A_n_vec_set$' ).
tff(func_def_466,type,
'vec$a': 'A_a_n_vec_fun$' ).
tff(func_def_467,type,
'top$y': 'Nat_set_set$' ).
tff(func_def_468,type,
'vbh$': ( 'N$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_469,type,
'times$l': ( 'A_n_vec_set$' * 'A_n_vec_set$' ) > 'A_n_vec_set$' ).
tff(func_def_470,type,
'comp$b': ( 'A_a_n_vec_fun$' * 'N_a_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_471,type,
'sum$': ( 'N_a_n_vec_fun$' * 'N_set$' ) > 'A_n_vec$' ).
tff(func_def_472,type,
'uyz$': ( 'A_n_vec_n_vec$' * 'A_n_vec_a_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_473,type,
'vcr$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_474,type,
'the$': 'N_a_fun_bool_fun$' > 'N_a_fun$' ).
tff(func_def_475,type,
'collect$b': 'N_a_n_vec_fun_bool_fun$' > 'N_a_n_vec_fun_set$' ).
tff(func_def_476,type,
'vec_nth$g': ( 'A_n_n_fun_vec_n_n_fun_vec$' * 'N_n_fun$' ) > 'A_n_n_fun_vec$' ).
tff(func_def_477,type,
'vec_nth$h': ( 'Nat_nat_fun_n_vec$' * 'N$' ) > 'Nat_nat_fun$' ).
tff(func_def_478,type,
'vdk$': ( 'N$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_479,type,
't$': 'N_n_a_fun_fun$' ).
tff(func_def_480,type,
'uyq$': ( 'Nat_n_n_fun_a_fun_fun$' * 'N_n_fun_set$' ) > 'Nat_a_fun$' ).
tff(func_def_481,type,
'uzd$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_482,type,
'fun_app$o': ( 'A_a_n_vec_fun$' * 'A$' ) > 'A_n_vec$' ).
tff(func_def_483,type,
'times$b': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_484,type,
'uwy$': ( 'N_a_fun$' * 'Nat_a_fun$' * 'Nat_set$' ) > 'N_a_fun$' ).
tff(func_def_485,type,
'transpose_row$a': ( 'Nat_n_vec_n_vec$' * 'N$' ) > 'Nat_n_vec$' ).
tff(func_def_486,type,
'matrix_matrix_mult$a': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_487,type,
'uxu$': 'A_n_vec$' > 'A_bool_fun$' ).
tff(func_def_488,type,
'uvt$': ( 'A$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_489,type,
'vdj$': ( 'N$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_490,type,
'times$k': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_491,type,
'trace$c': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec$' ).
tff(func_def_492,type,
'uwq$': ( 'A_n_vec$' * 'N_a_n_vec_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_493,type,
'interchange_rows$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_494,type,
'uyw$': ( 'N_n_fun_nat_a_fun_fun$' * 'Nat_set$' ) > 'N_n_fun_a_fun$' ).
tff(func_def_495,type,
'uzt$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_496,type,
'uvm$': 'Nat_nat_fun_set$' > 'Nat_nat_fun_bool_fun$' ).
tff(func_def_497,type,
'vec_nth$k': ( 'Int_n_vec$' * 'N$' ) > $int ).
tff(func_def_498,type,
'vas$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_499,type,
'vdu$': ( 'N_a_fun$' * 'N_bool_fun$' ) > 'N_a_fun$' ).
tff(func_def_500,type,
'comp$c': ( 'A_a_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_501,type,
'zero$c': 'Ennreal$' ).
tff(func_def_502,type,
'uwv$': ( 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_503,type,
'uvk$': 'A_set$' > 'A_bool_fun$' ).
tff(func_def_504,type,
'uyh$': ( 'Nat_nat_a_fun_fun$' * 'Nat_set$' ) > 'Nat_a_fun$' ).
tff(func_def_505,type,
'vcg$': ( 'Nat_set$' * 'N_nat_a_fun_fun$' * 'N_nat_bool_fun_fun$' ) > 'N_a_fun$' ).
tff(func_def_506,type,
'uui$': ( 'N_a_n_vec_n_vec_n_vec_fun$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_507,type,
'top$g': 'Nat_bool_fun$' ).
tff(func_def_508,type,
'vch$': ( 'N_set$' * 'N_nat_a_fun_fun$' * 'N_nat_bool_fun_fun$' ) > 'Nat_a_fun$' ).
tff(func_def_509,type,
'fun_app$al': ( 'N_a_n_vec_a_n_vec_fun_fun$' * 'N$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_510,type,
'uu$': 'N_a_fun$' > 'N_a_n_vec_fun$' ).
tff(func_def_511,type,
'plus$': 'A_n_vec$' > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_512,type,
'vap$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_513,type,
'sum$l': ( 'A_n_vec_a_n_vec_fun$' * 'A_n_vec_set$' ) > 'A_n_vec$' ).
tff(func_def_514,type,
'uzb$': ( 'A_n_n_fun_vec$' * 'A_n_vec_n_n_fun_vec$' ) > 'N_n_n_fun_a_fun_fun$' ).
tff(func_def_515,type,
'top$p': 'N_a_n_vec_fun_bool_fun$' ).
tff(func_def_516,type,
'vao$': ( 'A_n_vec_n_vec$' * 'N$' ) > 'N_n_a_n_vec_fun_fun$' ).
tff(func_def_517,type,
'uyn$': ( 'N_n_n_fun_a_fun_fun$' * 'N_n_fun_set$' ) > 'N_a_fun$' ).
tff(func_def_518,type,
'sum$o': ( 'Nat_a_set_fun$' * 'Nat_set$' ) > 'A_set$' ).
tff(func_def_519,type,
'comp$a': ( 'A_n_vec_a_n_vec_fun$' * 'A_n_vec_a_n_vec_fun$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_520,type,
'uyb$': ( 'N_nat_a_fun_fun$' * 'Nat_set$' ) > 'N_a_fun$' ).
tff(func_def_521,type,
'uuq$': 'A_n_vec$' > 'N_a_n_vec_fun$' ).
tff(func_def_522,type,
'top$q': 'N_a_fun_bool_fun$' ).
tff(func_def_523,type,
'vat$': ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' * 'N$' ) > 'N_a_n_vec_n_vec_fun$' ).
tff(func_def_524,type,
'plus$c': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_525,type,
'uzx$': ( 'N_a_n_vec_n_vec_fun$' * 'N_set$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_526,type,
'vbc$': 'A_n_vec$' > 'A_a_n_vec_fun$' ).
tff(func_def_527,type,
'mult_column_row$': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_528,type,
'transpose_row$': 'A_n_vec_n_vec_n_vec_n_vec$' > 'N_a_n_vec_n_vec_n_vec_fun$' ).
tff(func_def_529,type,
'uwd$': 'Nat_bool_fun$' ).
tff(func_def_530,type,
'uvv$': ( 'A_n_vec_n_vec$' * 'A_n_vec_a_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_531,type,
'scalar_product$e': 'A_n_vec$' > 'A_n_vec_a_fun$' ).
tff(func_def_532,type,
'vector_matrix_mult$': ( 'Nat_n_vec$' * 'Nat_n_vec_n_vec$' ) > 'Nat_n_vec$' ).
tff(func_def_533,type,
'fun_app$g': ( 'N_a_n_vec_n_vec_n_vec_fun$' * 'N$' ) > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_534,type,
'vcd$': ( 'N_set$' * 'N_n_a_n_vec_fun_fun$' * 'N_n_bool_fun_fun$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_535,type,
'fun_app$ag': ( 'Nat_n_a_n_vec_fun_fun$' * 'Nat$' ) > 'N_a_n_vec_fun$' ).
tff(func_def_540,type,
sK10: ( 'Nat_set$' * 'Nat_nat_set_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_541,type,
sK11: ( 'Nat_set$' * 'Nat$' * 'Nat_nat_set_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_542,type,
sK12: ( 'Nat_set$' * 'Nat_a_fun$' * 'A_a_fun$' * 'A_set$' * 'Nat_a_fun$' * 'A_nat_fun$' ) > 'A$' ).
tff(func_def_543,type,
sK13: ( 'Nat_set$' * 'A_set$' * 'Nat_a_fun$' * 'A_nat_fun$' ) > 'Nat$' ).
tff(func_def_544,type,
sK14: ( 'N_a_n_vec_n_vec_fun$' * 'N_set$' * 'N_a_n_vec_n_vec_fun$' ) > 'N$' ).
tff(func_def_545,type,
sK15: 'N_bool_fun$' > 'N$' ).
tff(func_def_546,type,
sK16: 'N_bool_fun$' > 'N$' ).
tff(func_def_547,type,
sK17: ( 'N_a_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_548,type,
sK18: ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_549,type,
sK19: ( 'N_set$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_550,type,
sK20: ( 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_551,type,
sK21: ( 'Nat_nat_fun$' * 'Nat_nat_fun_n_vec$' ) > 'N$' ).
tff(func_def_552,type,
sK22: ( 'N_a_fun_bool_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_553,type,
sK23: ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N_a_fun$' ).
tff(func_def_554,type,
sK24: ( 'N_set$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N$' ).
tff(func_def_555,type,
sK25: 'N_set$' > 'N$' ).
tff(func_def_556,type,
sK26: ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_557,type,
sK27: ( 'Nat_nat_set_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_558,type,
sK28: ( 'N_bool_fun$' * 'N_bool_fun$' ) > 'N$' ).
tff(func_def_559,type,
sK29: ( 'Nat_set$' * 'N_set$' * 'N_nat_fun$' * 'Nat_a_fun$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_560,type,
sK30: ( 'Nat_set$' * 'N_set$' * 'N_nat_fun$' ) > 'Nat$' ).
tff(func_def_561,type,
sK31: ( 'Nat_set$' * 'N_set$' * 'N_nat_fun$' * 'N$' ) > 'N$' ).
tff(func_def_562,type,
sK32: ( 'N_set$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'A_n_vec_a_n_vec_bool_fun_fun$' ) > 'N$' ).
tff(func_def_563,type,
sK33: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$' ).
tff(func_def_564,type,
sK34: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$' ).
tff(func_def_565,type,
sK35: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$' ).
tff(func_def_566,type,
sK36: 'A_n_vec_a_n_vec_bool_fun_fun$' > 'A_n_vec$' ).
tff(func_def_567,type,
sK37: ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_a_n_vec_fun$' ).
tff(func_def_568,type,
sK38: 'Int_int_fun$' > $int ).
tff(func_def_569,type,
sK39: 'Int_int_fun$' > $int ).
tff(func_def_570,type,
sK40: ( 'Nat$' * 'Nat_n_vec$' ) > 'N$' ).
tff(func_def_571,type,
sK41: ( 'N_a_n_vec_n_vec_bool_fun_fun$' * 'N$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_572,type,
sK42: ( 'N_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_573,type,
sK43: 'N_a_n_vec_n_vec_bool_fun_fun$' > 'A_n_vec_n_vec_n_vec$' ).
tff(func_def_574,type,
sK44: 'N_a_n_vec_n_vec_bool_fun_fun$' > 'N$' ).
tff(func_def_575,type,
sK45: 'Nat_set$' > 'Nat$' ).
tff(func_def_576,type,
sK46: 'Int_int_fun$' > $int ).
tff(func_def_577,type,
sK47: 'Int_int_fun$' > $int ).
tff(func_def_578,type,
sK48: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_579,type,
sK49: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_580,type,
sK50: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_581,type,
sK51: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_582,type,
sK52: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_583,type,
sK53: ( 'N_set$' * 'N_n_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_584,type,
sK54: ( 'N_set$' * 'N_n_fun$' * 'N_set$' * 'N$' ) > 'N$' ).
tff(func_def_585,type,
sK55: ( 'N_a_fun$' * 'N_a_fun$' * 'N_set$' * 'N_n_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_586,type,
sK56: ( 'N_n_fun_bool_fun$' * 'N_n_fun_bool_fun$' ) > 'N_n_fun$' ).
tff(func_def_587,type,
sK57: ( 'N_a_fun_bool_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_588,type,
sK58: ( 'N_a_fun_bool_fun$' * 'N_a_fun_bool_fun$' ) > 'N_a_fun$' ).
tff(func_def_589,type,
sK59: 'Nat$' ).
tff(func_def_590,type,
sK60: ( 'A_set$' * 'A_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_591,type,
sK61: ( 'A_set$' * 'A_nat_fun$' * 'Nat_set$' * 'A$' ) > 'A$' ).
tff(func_def_592,type,
sK62: ( 'A_a_fun$' * 'A_set$' * 'A_nat_fun$' * 'Nat_a_fun$' * 'Nat_set$' ) > 'A$' ).
tff(func_def_593,type,
sK63: 'N_a_n_vec_fun$' > 'A_n_vec_n_vec$' ).
tff(func_def_594,type,
sK64: ( 'Nat_set$' * 'A_set$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_595,type,
sK65: ( 'A_set$' * 'A_nat_fun$' * 'Nat_a_fun$' ) > 'A$' ).
tff(func_def_596,type,
sK66: ( 'Nat_set$' * 'A_nat_fun$' * 'A_set$' ) > 'A$' ).
tff(func_def_597,type,
sK67: ( 'Nat_set$' * 'A_nat_fun$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_598,type,
sK68: ( 'A_a_fun$' * 'Nat_a_fun$' * 'A_nat_fun$' * 'A_set$' ) > 'A$' ).
tff(func_def_599,type,
sK69: ( 'Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_600,type,
sK70: 'N_a_fun$' ).
tff(func_def_601,type,
sK71: $int > $int ).
tff(func_def_602,type,
sK72: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_603,type,
sK73: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_604,type,
sK74: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_605,type,
sK75: ( 'Nat_a_fun$' * 'Nat_a_fun$' * 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_606,type,
sK76: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_607,type,
sK77: 'N_a_fun_set$' > 'N_a_fun$' ).
tff(func_def_608,type,
sK78: ( 'A_a_fun$' * 'Nat_a_fun$' * 'A_set$' * 'Nat_set$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_609,type,
sK79: ( 'Nat_a_fun$' * 'A_set$' * 'Nat_set$' ) > 'A$' ).
tff(func_def_610,type,
sK80: ( 'Nat_a_fun$' * 'A_set$' * 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_611,type,
sK81: ( 'N$' * 'N_n_vec$' ) > 'N$' ).
tff(func_def_612,type,
sK82: 'N_a_fun$' ).
tff(func_def_613,type,
sK83: ( 'N_a_fun_bool_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_614,type,
sK84: ( 'N_n_fun$' * 'N_a_n_vec_fun$' * 'N_set$' * 'N_set$' * 'N_a_n_vec_fun$' ) > 'N$' ).
tff(func_def_615,type,
sK85: ( 'N_n_fun$' * 'N_set$' * 'N_set$' ) > 'N$' ).
tff(func_def_616,type,
sK86: ( 'N_n_fun$' * 'N_set$' * 'N_set$' * 'N$' ) > 'N$' ).
tff(func_def_617,type,
sK87: ( 'A_set$' * 'N_a_fun$' * 'N_set$' * 'A_a_fun$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_618,type,
sK88: ( 'A_set$' * 'N_a_fun$' * 'N_set$' ) > 'A$' ).
tff(func_def_619,type,
sK89: ( 'A_set$' * 'N_a_fun$' * 'N_set$' * 'N$' ) > 'N$' ).
tff(func_def_620,type,
sK90: ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_621,type,
sK91: ( 'Nat_ennreal_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_622,type,
sK92: ( 'N_set$' * 'N_n_fun$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_623,type,
sK93: ( 'N_set$' * 'N_n_fun$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_624,type,
sK94: ( 'N_n_fun$' * 'N_set$' * 'N_set$' ) > 'N$' ).
tff(func_def_625,type,
sK95: ( 'N_n_fun$' * 'N_set$' * 'N_set$' ) > 'N$' ).
tff(func_def_626,type,
sK96: ( 'N_n_fun$' * 'N_a_fun$' * 'N_a_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_627,type,
sK97: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_628,type,
sK98: ( 'Nat_set$' * 'Nat_a_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_a_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_629,type,
sK99: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_630,type,
sK100: ( 'A_bool_fun$' * 'A_bool_fun$' ) > 'A$' ).
tff(func_def_631,type,
sK101: 'N_a_n_vec_fun_set$' > 'N_a_n_vec_fun$' ).
tff(func_def_632,type,
sK102: ( 'N_a_fun$' * 'N_a_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_633,type,
sK103: 'N_a_fun$' ).
tff(func_def_634,type,
sK104: ( 'N_set$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' ) > 'N$' ).
tff(func_def_635,type,
sK105: ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_636,type,
sK106: 'N_set$' > 'N$' ).
tff(func_def_637,type,
sK107: ( 'N_a_fun$' * 'N_a_fun_bool_fun$' ) > 'N_a_fun$' ).
tff(func_def_638,type,
sK108: 'N_a_bool_fun_fun$' > 'A_n_vec$' ).
tff(func_def_639,type,
sK109: 'N_a_bool_fun_fun$' > 'N$' ).
tff(func_def_640,type,
sK110: ( 'N_a_bool_fun_fun$' * 'N$' ) > 'A$' ).
tff(func_def_641,type,
sK111: ( 'N_a_bool_fun_fun$' * 'A_n_vec$' ) > 'N$' ).
tff(func_def_642,type,
sK112: 'N_a_n_vec_fun$' ).
tff(func_def_643,type,
sK113: ( 'N_a_n_vec_fun$' * 'A_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_644,type,
sK114: 'Nat_set$' > 'Nat$' ).
tff(func_def_645,type,
sK115: 'A$' ).
tff(func_def_646,type,
sK116: ( 'N$' * 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_647,type,
sK117: ( 'N_set$' * 'N_a_n_vec_fun$' ) > 'N$' ).
tff(func_def_648,type,
sK118: ( 'A_n_vec$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_649,type,
sK119: 'N_a_fun_bool_fun$' > 'A_n_vec$' ).
tff(func_def_650,type,
sK120: ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_651,type,
sK121: ( 'A_n_vec$' * 'A_n_vec$' ) > 'N$' ).
tff(func_def_652,type,
sK122: 'A_set$' > 'A$' ).
tff(func_def_653,type,
sK123: ( 'Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_654,type,
sK124: 'A_n_vec_n_vec$' > 'N$' ).
tff(func_def_655,type,
sK125: 'A_n_vec_n_vec$' > 'N$' ).
tff(func_def_656,type,
sK126: ( 'N_a_n_vec_bool_fun_fun$' * 'N$' ) > 'A_n_vec$' ).
tff(func_def_657,type,
sK127: ( 'N_a_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_658,type,
sK128: 'N_a_n_vec_bool_fun_fun$' > 'A_n_vec_n_vec$' ).
tff(func_def_659,type,
sK129: 'N_a_n_vec_bool_fun_fun$' > 'N$' ).
tff(func_def_660,type,
sK130: ( 'N_n_fun$' * 'N_set$' * 'N_n_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_661,type,
sK131: ( 'N_a_n_vec_fun$' * 'N_n_fun$' * 'N_set$' * 'N_a_n_vec_fun$' * 'N_n_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_662,type,
sK132: ( 'N_set$' * 'N_a_fun$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_663,type,
sK133: ( 'Nat_nat_fun_bool_fun$' * 'Nat_nat_fun_bool_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_664,type,
sK134: ( 'N_set$' * 'N_a_n_vec_fun$' ) > 'N$' ).
tff(func_def_665,type,
sK135: ( 'N_a_fun_bool_fun$' * 'N_a_fun$' ) > 'N_a_fun$' ).
tff(func_def_666,type,
sK136: ( 'N_a_fun_bool_fun$' * 'N_a_fun_bool_fun$' ) > 'N_a_fun$' ).
tff(func_def_667,type,
sK137: 'A_n_vec_n_vec_n_vec$' > 'N$' ).
tff(func_def_668,type,
sK138: 'A_n_vec_n_vec_n_vec$' > 'N$' ).
tff(func_def_669,type,
sK139: ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'N$' ).
tff(func_def_670,type,
sK140: ( 'Nat_n_vec$' * 'Nat_n_vec$' ) > 'N$' ).
tff(func_def_671,type,
sK141: ( 'A_a_bool_fun_fun$' * 'N_set$' * 'N_a_fun$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_672,type,
sK142: 'A_a_bool_fun_fun$' > 'A$' ).
tff(func_def_673,type,
sK143: 'A_a_bool_fun_fun$' > 'A$' ).
tff(func_def_674,type,
sK144: 'A_a_bool_fun_fun$' > 'A$' ).
tff(func_def_675,type,
sK145: 'A_a_bool_fun_fun$' > 'A$' ).
tff(func_def_676,type,
sK146: ( 'A_n_vec_bool_fun$' * 'A_n_vec_bool_fun$' ) > 'A_n_vec$' ).
tff(func_def_677,type,
sK147: 'N_a_fun$' > 'A_n_vec$' ).
tff(func_def_678,type,
sK148: ( 'Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$' * 'A_a_fun$' ) > 'Nat$' ).
tff(func_def_679,type,
sK149: ( 'A_set$' * 'A_nat_fun$' * 'Nat_a_fun$' ) > 'A$' ).
tff(func_def_680,type,
sK150: ( 'A_nat_fun$' * 'Nat_set$' * 'A_set$' ) > 'A$' ).
tff(func_def_681,type,
sK151: ( 'Nat_a_fun$' * 'Nat_set$' * 'A_set$' ) > 'Nat$' ).
tff(func_def_682,type,
sK152: ( 'Nat_a_fun$' * 'A_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_683,type,
sK153: ( 'N_n_fun$' * 'N_n_fun_n_vec$' ) > 'N$' ).
tff(func_def_684,type,
sK154: ( 'Nat_set$' * 'A_nat_fun$' * 'A_a_fun$' * 'A_set$' * 'Nat_a_fun$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_685,type,
sK155: ( 'Nat_set$' * 'A_nat_fun$' * 'A_set$' * 'Nat_a_fun$' ) > 'A$' ).
tff(func_def_686,type,
sK156: ( 'N_n_fun$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_set$' ) > 'N$' ).
tff(func_def_687,type,
sK157: ( 'N_set$' * 'N_set$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_688,type,
sK158: ( 'N_set$' * 'N_set$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_689,type,
sK159: ( 'N_n_fun$' * 'N_set$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_690,type,
sK160: ( 'N_n_fun$' * 'N_set$' * 'N_n_fun$' ) > 'N$' ).
tff(func_def_691,type,
sK161: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_692,type,
sK162: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_693,type,
sK163: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_694,type,
sK164: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_a_fun$' * 'Nat_set$' * 'Nat_a_fun$' ) > 'Nat$' ).
tff(func_def_695,type,
sK165: 'Int_int_fun$' > $int ).
tff(func_def_696,type,
sK166: 'Int_int_fun$' > $int ).
tff(func_def_697,type,
sK167: 'Int_int_fun$' > $int ).
tff(func_def_698,type,
sK168: 'Int_int_fun$' > $int ).
tff(func_def_699,type,
sK169: 'N$' ).
tff(func_def_700,type,
sK170: ( 'N_n_fun$' * 'N_n_fun$' * 'N_a_fun$' * 'N_set$' * 'N_set$' * 'N_a_fun$' ) > 'N$' ).
tff(func_def_701,type,
sK171: ( 'N_n_fun$' * 'N_n_fun$' * 'N_set$' * 'N_set$' ) > 'N$' ).
tff(func_def_702,type,
sK172: $int > $int ).
tff(func_def_703,type,
sK173: ( 'N_a_fun$' * 'N_a_fun_bool_fun$' ) > 'N_a_fun$' ).
tff(func_def_704,type,
sK174: ( 'A$' * 'A_n_vec$' ) > 'N$' ).
tff(func_def_705,type,
sK175: ( 'N_a_n_vec_n_vec_fun$' * 'N_a_n_vec_n_vec_fun$' * 'N_set$' ) > 'N$' ).
tff(pred_def_1,type,
'fun_app$u': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_2,type,
'finite$m': 'N_nat_prod_set$' > $o ).
tff(pred_def_3,type,
'linear$b': ( 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_a_fun_fun$' * 'A_n_vec_a_fun$' ) > $o ).
tff(pred_def_4,type,
'fun_app$ay': ( 'N_a_n_vec_n_vec_fun_bool_fun$' * 'N_a_n_vec_n_vec_fun$' ) > $o ).
tff(pred_def_5,type,
'finite$a': 'A_n_vec_set$' > $o ).
tff(pred_def_6,type,
'member$d': ( 'N_n_fun$' * 'N_n_fun_set$' ) > $o ).
tff(pred_def_7,type,
'finite$j': 'N_set_set$' > $o ).
tff(pred_def_8,type,
'fun_app$m': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_9,type,
'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_10,type,
'fun_app$q': ( 'Nat_nat_fun_bool_fun$' * 'Nat_nat_fun$' ) > $o ).
tff(pred_def_11,type,
'finite$c': 'Nat_nat_sum_set$' > $o ).
tff(pred_def_12,type,
'less$a': ( 'N_set$' * 'N_set$' ) > $o ).
tff(pred_def_13,type,
'less$': ( 'Ennreal$' * 'Ennreal$' ) > $o ).
tff(pred_def_14,type,
'finite$f': 'N_n_sum_set$' > $o ).
tff(pred_def_15,type,
'finite$k': 'Nat_nat_prod_set$' > $o ).
tff(pred_def_16,type,
'finite$b': 'Nat_set$' > $o ).
tff(pred_def_17,type,
'member$i': ( 'N_nat_fun$' * 'N_nat_fun_set$' ) > $o ).
tff(pred_def_18,type,
'linear$': ( 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_n_vec_a_n_vec_fun$' ) > $o ).
tff(pred_def_19,type,
'fun_app$bl': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_20,type,
'finite$e': 'N_nat_sum_set$' > $o ).
tff(pred_def_21,type,
'finite$l': 'Nat_n_prod_set$' > $o ).
tff(pred_def_22,type,
'fun_app$x': ( 'A_n_vec_n_vec_bool_fun$' * 'A_n_vec_n_vec$' ) > $o ).
tff(pred_def_23,type,
'linear$c': ( 'A_a_a_fun_fun$' * 'A_a_n_vec_a_n_vec_fun_fun$' * 'A_a_n_vec_fun$' ) > $o ).
tff(pred_def_24,type,
'finite$d': 'Nat_n_sum_set$' > $o ).
tff(pred_def_25,type,
'fun_app$s': ( 'N_n_fun_bool_fun$' * 'N_n_fun$' ) > $o ).
tff(pred_def_27,type,
'member$f': ( 'N$' * 'N_set$' ) > $o ).
tff(pred_def_28,type,
'member$m': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_29,type,
'finite$i': 'Nat_set_set$' > $o ).
tff(pred_def_30,type,
'finite$': 'N_set$' > $o ).
tff(pred_def_31,type,
'finite$g': 'Nat_option_set$' > $o ).
tff(pred_def_32,type,
'finite$n': 'N_n_prod_set$' > $o ).
tff(pred_def_33,type,
'finite$h': 'N_option_set$' > $o ).
tff(pred_def_34,type,
'is_basis$': 'A_n_vec_set$' > $o ).
tff(pred_def_35,type,
'finite$o': 'Nat_nat_fun_set$' > $o ).
tff(pred_def_36,type,
'member$j': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_set$' ) > $o ).
tff(pred_def_37,type,
'fun_app$az': ( 'N_nat_fun_bool_fun$' * 'N_nat_fun$' ) > $o ).
tff(pred_def_38,type,
'member$': ( 'A_n_vec$' * 'A_n_vec_set$' ) > $o ).
tff(pred_def_39,type,
'fun_app$r': ( 'N_a_n_vec_fun_bool_fun$' * 'N_a_n_vec_fun$' ) > $o ).
tff(pred_def_40,type,
'member$h': ( 'N_a_n_vec_n_vec_fun$' * 'N_a_n_vec_n_vec_fun_set$' ) > $o ).
tff(pred_def_41,type,
'member$c': ( 'N_a_n_vec_fun$' * 'N_a_n_vec_fun_set$' ) > $o ).
tff(pred_def_42,type,
'fun_app$p': ( 'A_n_vec_bool_fun$' * 'A_n_vec$' ) > $o ).
tff(pred_def_43,type,
'member$e': ( 'N_a_fun$' * 'N_a_fun_set$' ) > $o ).
tff(pred_def_44,type,
'member$l': ( 'Nat_set$' * 'Nat_set_set$' ) > $o ).
tff(pred_def_45,type,
'member$g': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_46,type,
'member$k': ( 'A_set$' * 'A_set_set$' ) > $o ).
tff(pred_def_47,type,
'fun_app$t': ( 'N_bool_fun$' * 'N$' ) > $o ).
tff(pred_def_48,type,
'fun_app$': ( 'N_a_fun_bool_fun$' * 'N_a_fun$' ) > $o ).
tff(pred_def_49,type,
'member$b': ( 'Nat_nat_fun$' * 'Nat_nat_fun_set$' ) > $o ).
tff(pred_def_50,type,
'linear$a': ( 'A_a_a_fun_fun$' * 'A_a_a_fun_fun$' * 'A_a_fun$' ) > $o ).
tff(pred_def_53,type,
sP0: ( 'A_set$' * 'A_nat_fun$' * 'Nat_a_fun$' ) > $o ).
tff(pred_def_54,type,
sP1: ( 'Nat_set$' * 'A_set$' * 'Nat_a_fun$' ) > $o ).
tff(pred_def_55,type,
sP2: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > $o ).
tff(pred_def_56,type,
sP3: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_57,type,
sP4: ( 'N_set$' * 'N_n_fun$' * 'N_n_fun$' ) > $o ).
tff(pred_def_58,type,
sP5: ( 'N_set$' * 'N_n_fun$' * 'N_n_fun$' ) > $o ).
tff(pred_def_59,type,
sP6: ( 'A_set$' * 'A_nat_fun$' * 'Nat_a_fun$' ) > $o ).
tff(pred_def_60,type,
sP7: ( 'Nat_set$' * 'Nat_a_fun$' * 'Nat_a_fun$' * 'A_a_fun$' ) > $o ).
tff(pred_def_61,type,
sP8: ( 'N_set$' * 'N_set$' * 'N_n_fun$' ) > $o ).
tff(pred_def_62,type,
sP9: ( 'N_n_fun$' * 'N_a_n_vec_fun$' * 'N_a_n_vec_fun$' * 'N_set$' ) > $o ).
tff(f1,axiom,
! [X0: 'N_a_fun$'] :
( 'fun_app$'('uua$',X0)
<=> ( 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(X0),'top$') ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom0) ).
tff(f2,axiom,
! [X0: 'N$'] : ( 'fun_app$a'('uub$',X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'('h$',X0)),'fun_app$a'('vec_nth$'('y$'),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
tff(f15,axiom,
! [X1: 'N$',X0: 'N_a_fun$'] : ( 'fun_app$a'('uu$'(X0),X1) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X1)),'fun_app$a'('vec_nth$'('y$'),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom14) ).
tff(f106,axiom,
! [X0: 'A_n_vec_n_vec$',X2: 'N$',X1: 'N_a_fun$'] : ( 'fun_app$a'('uvw$'(X0,X1),X2) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X2)),'fun_app$a'('vec_nth$'(X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom105) ).
tff(f273,conjecture,
'the$'('uua$') = 'h$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture272) ).
tff(f274,negated_conjecture,
( ( ~ 'the$'('uua$') ) = 'h$' ),
inference(negated_conjecture,[status(cth)],[f273]) ).
tff(f275,axiom,
'sum$'('uub$','top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom273) ).
tff(f277,axiom,
( ! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'(X0),'top$') = 'fun_app$a'('vec_nth$'('x$'),'x$a') )
=> $false )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom275) ).
tff(f303,axiom,
! [X0: 'N_a_n_vec_fun$'] :
( ( 'member$c'(X0,'top$c')
& ! [X1: 'A_n_vec_n_vec$'] :
( ( X0 = 'vec_nth$'(X1) )
=> $false ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom301) ).
tff(f323,axiom,
! [X1: 'A_n_vec_n_vec$',X0: 'A_n_vec_n_vec$'] :
( ! [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) )
<=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom321) ).
tff(f338,axiom,
! [X0: 'N_a_fun_bool_fun$',X1: 'N_a_fun$'] :
( ( 'fun_app$'(X0,X1)
& ! [X2: 'N_a_fun$'] :
( 'fun_app$'(X0,X2)
=> ( X2 = X1 ) ) )
=> 'fun_app$'(X0,'the$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom336) ).
tff(f358,axiom,
! [X0: 'N_a_n_vec_fun$'] :
( $true
<=> 'member$c'(X0,'top$c') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom356) ).
tff(f374,axiom,
'is_basis$'('set_of_vector$'('y$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom372) ).
tff(f427,axiom,
! [X2: 'N_a_fun$',X0: 'A_n_vec_n_vec$',X1: 'N_a_fun$'] :
( ( ( 'sum$'('uvw$'(X0,X1),'top$') = 'sum$'('uvw$'(X0,X2),'top$') )
& 'is_basis$'('set_of_vector$'(X0)) )
=> ( X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom425) ).
tff(f586,axiom,
! [X0: 'A_n_vec$'] : ( 'vec_lambda$'('vec_nth$a'(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom584) ).
tff(f666,axiom,
! [X1: 'A_n_vec_n_vec$',X0: 'N$'] : ( 'row$'(X0,X1) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X1),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom664) ).
tff(f972,plain,
'h$' != 'the$'('uua$'),
inference(flattening,[],[f274]) ).
tff(f1010,plain,
! [X1: 'A_n_vec_n_vec$',X0: 'A_n_vec_n_vec$'] :
( ! [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f323]) ).
tff(f1115,plain,
! [X0: 'N_a_n_vec_fun$'] : 'member$c'(X0,'top$c'),
inference(true_and_false_elimination,[],[f358]) ).
tff(f1116,plain,
! [X0: 'N_a_n_vec_fun$'] :
~ ( 'member$c'(X0,'top$c')
& ! [X1: 'A_n_vec_n_vec$'] :
( ( ~ X0 ) = 'vec_nth$'(X1) ) ),
inference(true_and_false_elimination,[],[f303]) ).
tff(f1117,plain,
! [X0: 'N_a_n_vec_fun$'] :
~ ( ! [X1: 'A_n_vec_n_vec$'] : ( 'vec_nth$'(X1) != X0 )
& 'member$c'(X0,'top$c') ),
inference(flattening,[],[f1116]) ).
tff(f1162,plain,
! [X1: 'N_a_fun$',X0: 'N$'] : ( 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X1,X0)),'fun_app$a'('vec_nth$'('y$'),X0)) = 'fun_app$a'('uu$'(X1),X0) ),
inference(rectify,[],[f15]) ).
tff(f1163,plain,
~ ! [X0: 'N_a_fun$'] :
( ( ~ 'sum$'('uu$'(X0),'top$') ) = 'fun_app$a'('vec_nth$'('x$'),'x$a') ),
inference(true_and_false_elimination,[],[f277]) ).
tff(f1164,plain,
~ ! [X0: 'N_a_fun$'] : ( 'fun_app$a'('vec_nth$'('x$'),'x$a') != 'sum$'('uu$'(X0),'top$') ),
inference(flattening,[],[f1163]) ).
tff(f1176,plain,
! [X0: 'N_a_fun$',X2: 'N_a_fun$',X1: 'A_n_vec_n_vec$'] :
( ( ( 'sum$'('uvw$'(X1,X0),'top$') = 'sum$'('uvw$'(X1,X2),'top$') )
& 'is_basis$'('set_of_vector$'(X1)) )
=> ( X0 = X2 ) ),
inference(rectify,[],[f427]) ).
tff(f1178,plain,
! [X1: 'N$',X0: 'A_n_vec_n_vec$',X2: 'N_a_fun$'] : ( 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X2,X1)),'fun_app$a'('vec_nth$'(X0),X1)) = 'fun_app$a'('uvw$'(X0,X2),X1) ),
inference(rectify,[],[f106]) ).
tff(f1183,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'N$'] : ( 'row$'(X1,X0) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X0),X1))) ),
inference(rectify,[],[f666]) ).
tff(f1255,plain,
? [X0: 'N_a_fun$'] : ( 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(X0),'top$') ),
inference(ennf_transformation,[],[f1164]) ).
tff(f1312,plain,
! [X0: 'N_a_fun_bool_fun$',X1: 'N_a_fun$'] :
( 'fun_app$'(X0,'the$'(X0))
| ~ 'fun_app$'(X0,X1)
| ? [X2: 'N_a_fun$'] :
( 'fun_app$'(X0,X2)
& ( X1 != X2 ) ) ),
inference(ennf_transformation,[],[f338]) ).
tff(f1313,plain,
! [X1: 'N_a_fun$',X0: 'N_a_fun_bool_fun$'] :
( 'fun_app$'(X0,'the$'(X0))
| ~ 'fun_app$'(X0,X1)
| ? [X2: 'N_a_fun$'] :
( 'fun_app$'(X0,X2)
& ( X1 != X2 ) ) ),
inference(flattening,[],[f1312]) ).
tff(f1357,plain,
! [X0: 'N_a_fun$',X2: 'N_a_fun$',X1: 'A_n_vec_n_vec$'] :
( ( X0 = X2 )
| ( 'sum$'('uvw$'(X1,X0),'top$') != 'sum$'('uvw$'(X1,X2),'top$') )
| ~ 'is_basis$'('set_of_vector$'(X1)) ),
inference(ennf_transformation,[],[f1176]) ).
tff(f1358,plain,
! [X1: 'A_n_vec_n_vec$',X0: 'N_a_fun$',X2: 'N_a_fun$'] :
( ( 'sum$'('uvw$'(X1,X0),'top$') != 'sum$'('uvw$'(X1,X2),'top$') )
| ( X0 = X2 )
| ~ 'is_basis$'('set_of_vector$'(X1)) ),
inference(flattening,[],[f1357]) ).
tff(f1373,plain,
! [X0: 'N_a_n_vec_fun$'] :
( ~ 'member$c'(X0,'top$c')
| ? [X1: 'A_n_vec_n_vec$'] : ( 'vec_nth$'(X1) = X0 ) ),
inference(ennf_transformation,[],[f1117]) ).
tff(f1544,plain,
! [X0: 'N_a_fun$'] :
( ( 'fun_app$'('uua$',X0)
| ( 'fun_app$a'('vec_nth$'('x$'),'x$a') != 'sum$'('uu$'(X0),'top$') ) )
& ( ( 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(X0),'top$') )
| ~ 'fun_app$'('uua$',X0) ) ),
inference(nnf_transformation,[],[f1]) ).
tff(f1560,plain,
! [X0: 'N_a_fun$',X1: 'N$'] : ( 'fun_app$a'('uu$'(X0),X1) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X1)),'fun_app$a'('vec_nth$'('y$'),X1)) ),
inference(rectify,[],[f1162]) ).
tff(f1572,plain,
! [X0: 'N_a_n_vec_fun$'] :
( ~ 'member$c'(X0,'top$c')
| ( 'vec_nth$'(sK63(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X1,sK63(X0))],[f1373]) ).
tff(f1574,plain,
! [X0: 'N$',X1: 'A_n_vec_n_vec$',X2: 'N_a_fun$'] : ( 'fun_app$a'('uvw$'(X1,X2),X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X2,X0)),'fun_app$a'('vec_nth$'(X1),X0)) ),
inference(rectify,[],[f1178]) ).
tff(f1677,plain,
'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(sK103),'top$'),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(X0,sK103)],[f1255]) ).
tff(f1691,plain,
! [X0: 'N_a_fun$',X1: 'N_a_fun_bool_fun$'] :
( 'fun_app$'(X1,'the$'(X1))
| ~ 'fun_app$'(X1,X0)
| ? [X2: 'N_a_fun$'] :
( 'fun_app$'(X1,X2)
& ( X0 != X2 ) ) ),
inference(rectify,[],[f1313]) ).
tff(f1692,plain,
! [X0: 'N_a_fun$',X1: 'N_a_fun_bool_fun$'] :
( 'fun_app$'(X1,'the$'(X1))
| ~ 'fun_app$'(X1,X0)
| ( 'fun_app$'(X1,sK107(X0,X1))
& ( sK107(X0,X1) != X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(X2,sK107(X0,X1))],[f1691]) ).
tff(f1778,plain,
! [X1: 'A_n_vec_n_vec$',X0: 'A_n_vec_n_vec$'] :
( ( ! [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ? [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) != 'fun_app$a'('vec_nth$'(X1),X2) ) ) ),
inference(nnf_transformation,[],[f1010]) ).
tff(f1779,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_n_vec_n_vec$'] :
( ( ! [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ? [X3: 'N$'] : ( 'fun_app$a'('vec_nth$'(X1),X3) != 'fun_app$a'('vec_nth$'(X0),X3) ) ) ),
inference(rectify,[],[f1778]) ).
tff(f1780,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_n_vec_n_vec$'] :
( ( ! [X2: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X2) = 'fun_app$a'('vec_nth$'(X1),X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( 'fun_app$a'('vec_nth$'(X1),sK139(X0,X1)) != 'fun_app$a'('vec_nth$'(X0),sK139(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK139]),skolemize(X3,sK139(X0,X1))],[f1779]) ).
tff(f1803,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'N_a_fun$',X2: 'N_a_fun$'] :
( ( 'sum$'('uvw$'(X0,X2),'top$') != 'sum$'('uvw$'(X0,X1),'top$') )
| ( X1 = X2 )
| ~ 'is_basis$'('set_of_vector$'(X0)) ),
inference(rectify,[],[f1358]) ).
tff(f1904,plain,
! [X0: 'N$'] : ( 'fun_app$a'('uub$',X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'('h$',X0)),'fun_app$a'('vec_nth$'('y$'),X0)) ),
inference(cnf_transformation,[],[f2]) ).
tff(f1930,plain,
'is_basis$'('set_of_vector$'('y$')),
inference(cnf_transformation,[],[f374]) ).
tff(f1956,plain,
! [X0: 'A_n_vec$'] : ( 'vec_lambda$'('vec_nth$a'(X0)) = X0 ),
inference(cnf_transformation,[],[f586]) ).
tff(f2059,plain,
! [X0: 'N_a_fun$'] :
( ~ 'fun_app$'('uua$',X0)
| ( 'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(X0),'top$') ) ),
inference(cnf_transformation,[],[f1544]) ).
tff(f2060,plain,
! [X0: 'N_a_fun$'] :
( ( 'fun_app$a'('vec_nth$'('x$'),'x$a') != 'sum$'('uu$'(X0),'top$') )
| 'fun_app$'('uua$',X0) ),
inference(cnf_transformation,[],[f1544]) ).
tff(f2090,plain,
! [X0: 'N_a_fun$',X1: 'N$'] : ( 'fun_app$a'('uu$'(X0),X1) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X0,X1)),'fun_app$a'('vec_nth$'('y$'),X1)) ),
inference(cnf_transformation,[],[f1560]) ).
tff(f2113,plain,
'h$' != 'the$'('uua$'),
inference(cnf_transformation,[],[f972]) ).
tff(f2114,plain,
! [X0: 'N_a_n_vec_fun$'] :
( ~ 'member$c'(X0,'top$c')
| ( 'vec_nth$'(sK63(X0)) = X0 ) ),
inference(cnf_transformation,[],[f1572]) ).
tff(f2116,plain,
! [X2: 'N_a_fun$',X0: 'N$',X1: 'A_n_vec_n_vec$'] : ( 'fun_app$a'('uvw$'(X1,X2),X0) = 'fun_app$b'('fun_app$c'('vector_scalar_mult$','fun_app$d'(X2,X0)),'fun_app$a'('vec_nth$'(X1),X0)) ),
inference(cnf_transformation,[],[f1574]) ).
tff(f2277,plain,
'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uu$'(sK103),'top$'),
inference(cnf_transformation,[],[f1677]) ).
tff(f2296,plain,
! [X0: 'N_a_fun$',X1: 'N_a_fun_bool_fun$'] :
( ( sK107(X0,X1) != X0 )
| ~ 'fun_app$'(X1,X0)
| 'fun_app$'(X1,'the$'(X1)) ),
inference(cnf_transformation,[],[f1692]) ).
tff(f2297,plain,
! [X0: 'N_a_fun$',X1: 'N_a_fun_bool_fun$'] :
( 'fun_app$'(X1,sK107(X0,X1))
| 'fun_app$'(X1,'the$'(X1))
| ~ 'fun_app$'(X1,X0) ),
inference(cnf_transformation,[],[f1692]) ).
tff(f2339,plain,
! [X0: 'N_a_n_vec_fun$'] : 'member$c'(X0,'top$c'),
inference(cnf_transformation,[],[f1115]) ).
tff(f2413,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_n_vec_n_vec$'] :
( ( X0 = X1 )
| ( 'fun_app$a'('vec_nth$'(X1),sK139(X0,X1)) != 'fun_app$a'('vec_nth$'(X0),sK139(X0,X1)) ) ),
inference(cnf_transformation,[],[f1780]) ).
tff(f2449,plain,
! [X2: 'N_a_fun$',X0: 'A_n_vec_n_vec$',X1: 'N_a_fun$'] :
( ( 'sum$'('uvw$'(X0,X2),'top$') != 'sum$'('uvw$'(X0,X1),'top$') )
| ~ 'is_basis$'('set_of_vector$'(X0))
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f1803]) ).
tff(f2490,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'N$'] : ( 'row$'(X1,X0) = 'vec_lambda$'('vec_nth$a'('fun_app$a'('vec_nth$'(X0),X1))) ),
inference(cnf_transformation,[],[f1183]) ).
tff(f2557,plain,
'fun_app$a'('vec_nth$'('x$'),'x$a') = 'sum$'('uub$','top$'),
inference(cnf_transformation,[],[f275]) ).
tff(f2794,plain,
! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'(X0),'top$') != 'sum$'('uu$'(sK103),'top$') )
| 'fun_app$'('uua$',X0) ),
inference(backward_demodulation,[],[f2060,f2277]) ).
tff(f2795,plain,
! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'(X0),'top$') = 'sum$'('uu$'(sK103),'top$') )
| ~ 'fun_app$'('uua$',X0) ),
inference(backward_demodulation,[],[f2059,f2277]) ).
tff(f2802,plain,
! [X0: 'N$'] : ( 'fun_app$a'('uub$',X0) = 'fun_app$a'('uu$'('h$'),X0) ),
inference(backward_demodulation,[],[f1904,f2090]) ).
tff(f2817,plain,
! [X0: 'N_a_fun$',X1: 'N$'] : ( 'fun_app$a'('uu$'(X0),X1) = 'fun_app$a'('uvw$'('y$',X0),X1) ),
inference(backward_demodulation,[],[f2090,f2116]) ).
tff(f2841,plain,
'sum$'('uub$','top$') = 'sum$'('uu$'(sK103),'top$'),
inference(backward_demodulation,[],[f2277,f2557]) ).
tff(f2852,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'N$'] : ( 'fun_app$a'('vec_nth$'(X0),X1) = 'row$'(X1,X0) ),
inference(forward_demodulation,[],[f2490,f1956]) ).
tff(f2893,plain,
! [X0: 'N_a_fun$'] :
( ~ 'fun_app$'('uua$',X0)
| ( 'sum$'('uu$'(X0),'top$') = 'sum$'('uub$','top$') ) ),
inference(backward_demodulation,[],[f2795,f2841]) ).
tff(f2894,plain,
! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'(X0),'top$') != 'sum$'('uub$','top$') )
| 'fun_app$'('uua$',X0) ),
inference(backward_demodulation,[],[f2794,f2841]) ).
tff(f2914,plain,
'sum$'('uub$','top$') = 'row$'('x$a','x$'),
inference(backward_demodulation,[],[f2557,f2852]) ).
tff(f2919,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_n_vec_n_vec$'] :
( ( X0 = X1 )
| ( 'row$'(sK139(X0,X1),X0) != 'fun_app$a'('vec_nth$'(X1),sK139(X0,X1)) ) ),
inference(backward_demodulation,[],[f2413,f2852]) ).
tff(f2945,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_n_vec_n_vec$'] :
( ( 'row$'(sK139(X0,X1),X0) != 'row$'(sK139(X0,X1),X1) )
| ( X0 = X1 ) ),
inference(forward_demodulation,[],[f2919,f2852]) ).
tff(f2949,plain,
! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'(X0),'top$') != 'row$'('x$a','x$') )
| 'fun_app$'('uua$',X0) ),
inference(backward_demodulation,[],[f2894,f2914]) ).
tff(f2950,plain,
! [X0: 'N_a_fun$'] :
( ~ 'fun_app$'('uua$',X0)
| ( 'sum$'('uu$'(X0),'top$') = 'row$'('x$a','x$') ) ),
inference(backward_demodulation,[],[f2893,f2914]) ).
tff(f2951,plain,
'sum$'('uu$'(sK103),'top$') = 'row$'('x$a','x$'),
inference(backward_demodulation,[],[f2841,f2914]) ).
tff(f3020,plain,
! [X0: 'N_a_n_vec_fun$'] : ( 'vec_nth$'(sK63(X0)) = X0 ),
inference(unit_resulting_resolution,[],[f2114,f2339]) ).
tff(f3082,plain,
! [X0: 'N_a_n_vec_fun$',X1: 'N$'] : ( 'fun_app$a'(X0,X1) = 'row$'(X1,sK63(X0)) ),
inference(superposition,[],[f2852,f3020]) ).
tff(f3104,plain,
! [X0: 'N_a_fun$',X1: 'N$'] : ( 'fun_app$a'('uu$'(X0),X1) = 'row$'(X1,sK63('uvw$'('y$',X0))) ),
inference(backward_demodulation,[],[f2817,f3082]) ).
tff(f3108,plain,
! [X0: 'N$'] : ( 'row$'(X0,sK63('uub$')) = 'fun_app$a'('uu$'('h$'),X0) ),
inference(backward_demodulation,[],[f2802,f3082]) ).
tff(f3115,plain,
! [X0: 'N$'] : ( 'row$'(X0,sK63('uub$')) = 'row$'(X0,sK63('uu$'('h$'))) ),
inference(forward_demodulation,[],[f3108,f3082]) ).
tff(f3119,plain,
! [X0: 'N_a_fun$',X1: 'N$'] : ( 'row$'(X1,sK63('uu$'(X0))) = 'row$'(X1,sK63('uvw$'('y$',X0))) ),
inference(forward_demodulation,[],[f3104,f3082]) ).
tff(f3293,plain,
'fun_app$'('uua$',sK103),
inference(unit_resulting_resolution,[],[f2949,f2951]) ).
tff(f3379,definition,
( spl176_11
<=> ( 'sum$'('uu$'('the$'('uua$')),'top$') = 'row$'('x$a','x$') ) ),
introduced(definition,[new_symbols(definition,[spl176_11])],[avatar_definition]) ).
tff(f3381,plain,
( ( 'sum$'('uu$'('the$'('uua$')),'top$') = 'row$'('x$a','x$') )
| ~ spl176_11 ),
inference(avatar_component_clause,[],[f3379]) ).
tff(f3387,definition,
( spl176_13
<=> 'fun_app$'('uua$','the$'('uua$')) ),
introduced(definition,[new_symbols(definition,[spl176_13])],[avatar_definition]) ).
tff(f3388,plain,
( ~ 'fun_app$'('uua$','the$'('uua$'))
| spl176_13 ),
inference(avatar_component_clause,[],[f3387]) ).
tff(f3389,plain,
( 'fun_app$'('uua$','the$'('uua$'))
| ~ spl176_13 ),
inference(avatar_component_clause,[],[f3387]) ).
tff(f3423,plain,
! [X0: 'N_a_fun$'] :
( ( 'sum$'('uu$'('the$'('uua$')),'top$') = 'row$'('x$a','x$') )
| ~ 'fun_app$'('uua$',X0)
| 'fun_app$'('uua$',sK107(X0,'uua$')) ),
inference(resolution,[],[f2297,f2950]) ).
tff(f3429,definition,
( spl176_15
<=> ! [X0: 'N_a_fun$'] :
( ~ 'fun_app$'('uua$',X0)
| 'fun_app$'('uua$',sK107(X0,'uua$')) ) ),
introduced(definition,[new_symbols(definition,[spl176_15])],[avatar_definition]) ).
tff(f3430,plain,
( ! [X0: 'N_a_fun$'] :
( 'fun_app$'('uua$',sK107(X0,'uua$'))
| ~ 'fun_app$'('uua$',X0) )
| ~ spl176_15 ),
inference(avatar_component_clause,[],[f3429]) ).
tff(f3431,plain,
( spl176_11
| spl176_15 ),
inference(avatar_split_clause,[],[f3423,f3429,f3379]) ).
tff(f3597,plain,
sK63('uu$'('h$')) = sK63('uub$'),
inference(unit_resulting_resolution,[],[f2945,f3115]) ).
tff(f3598,plain,
! [X0: 'N_a_fun$'] : ( sK63('uu$'(X0)) = sK63('uvw$'('y$',X0)) ),
inference(unit_resulting_resolution,[],[f2945,f3119]) ).
tff(f3630,plain,
'vec_nth$'(sK63('uub$')) = 'uu$'('h$'),
inference(superposition,[],[f3020,f3597]) ).
tff(f3631,plain,
'uub$' = 'uu$'('h$'),
inference(forward_demodulation,[],[f3630,f3020]) ).
tff(f3675,plain,
! [X0: 'N_a_fun$'] : ( 'vec_nth$'(sK63('uu$'(X0))) = 'uvw$'('y$',X0) ),
inference(superposition,[],[f3020,f3598]) ).
tff(f3676,plain,
! [X0: 'N_a_fun$'] : ( 'uu$'(X0) = 'uvw$'('y$',X0) ),
inference(forward_demodulation,[],[f3675,f3020]) ).
tff(f4280,plain,
( ( 'sum$'('uu$'('the$'('uua$')),'top$') = 'row$'('x$a','x$') )
| ~ spl176_13 ),
inference(unit_resulting_resolution,[],[f2950,f3389]) ).
tff(f4289,plain,
( spl176_11
| ~ spl176_13 ),
inference(avatar_split_clause,[],[f4280,f3387,f3379]) ).
tff(f4480,plain,
( 'fun_app$'('uua$',sK107(sK103,'uua$'))
| ~ spl176_15 ),
inference(unit_resulting_resolution,[],[f3430,f3293]) ).
tff(f4788,plain,
'sum$'('uvw$'('y$','the$'('uua$')),'top$') != 'sum$'('uvw$'('y$','h$'),'top$'),
inference(unit_resulting_resolution,[],[f2449,f2113,f1930]) ).
tff(f4819,plain,
'sum$'('uvw$'('y$','the$'('uua$')),'top$') != 'sum$'('uu$'('h$'),'top$'),
inference(forward_demodulation,[],[f4788,f3676]) ).
tff(f4828,plain,
'sum$'('uub$','top$') != 'sum$'('uvw$'('y$','the$'('uua$')),'top$'),
inference(forward_demodulation,[],[f4819,f3631]) ).
tff(f4832,plain,
'sum$'('uub$','top$') != 'sum$'('uu$'('the$'('uua$')),'top$'),
inference(forward_demodulation,[],[f4828,f3676]) ).
tff(f4836,plain,
( ( 'sum$'('uub$','top$') != 'row$'('x$a','x$') )
| ~ spl176_11 ),
inference(forward_demodulation,[],[f4832,f3381]) ).
tff(f4839,plain,
( $false
| ~ spl176_11 ),
inference(forward_subsumption_resolution,[],[f4836,f2914]) ).
tff(f4840,plain,
~ spl176_11,
inference(avatar_contradiction_clause,[],[f4839]) ).
tff(f4857,plain,
( ( sK107(sK103,'uua$') != sK103 )
| spl176_13 ),
inference(unit_resulting_resolution,[],[f2296,f3293,f3388]) ).
tff(f4908,plain,
( ( 'sum$'('uu$'(sK107(sK103,'uua$')),'top$') = 'row$'('x$a','x$') )
| ~ spl176_15 ),
inference(unit_resulting_resolution,[],[f2950,f4480]) ).
tff(f4970,plain,
( ( 'sum$'('uvw$'('y$',sK103),'top$') != 'sum$'('uvw$'('y$',sK107(sK103,'uua$')),'top$') )
| spl176_13 ),
inference(unit_resulting_resolution,[],[f2449,f1930,f4857]) ).
tff(f4975,plain,
( ( 'sum$'('uvw$'('y$',sK103),'top$') != 'sum$'('uu$'(sK107(sK103,'uua$')),'top$') )
| spl176_13 ),
inference(forward_demodulation,[],[f4970,f3676]) ).
tff(f4977,plain,
( ( 'sum$'('uvw$'('y$',sK103),'top$') != 'row$'('x$a','x$') )
| spl176_13
| ~ spl176_15 ),
inference(forward_demodulation,[],[f4975,f4908]) ).
tff(f4979,plain,
( ( 'sum$'('uu$'(sK103),'top$') != 'row$'('x$a','x$') )
| spl176_13
| ~ spl176_15 ),
inference(forward_demodulation,[],[f4977,f3676]) ).
tff(f4982,plain,
( $false
| spl176_13
| ~ spl176_15 ),
inference(forward_subsumption_resolution,[],[f4979,f2951]) ).
tff(f4983,plain,
( spl176_13
| ~ spl176_15 ),
inference(avatar_contradiction_clause,[],[f4982]) ).
cnf(s18,plain,
( spl176_11
| spl176_15 ),
inference(sat_conversion,[],[f3431]) ).
cnf(s59,plain,
( spl176_11
| ~ spl176_13 ),
inference(sat_conversion,[],[f4289]) ).
cnf(s71,plain,
~ spl176_11,
inference(sat_conversion,[],[f4840]) ).
cnf(s74,plain,
( spl176_13
| ~ spl176_15 ),
inference(sat_conversion,[],[f4983]) ).
cnf(s75,plain,
~ spl176_13,
inference(rat,[],[s59,s71]) ).
cnf(s76,plain,
~ spl176_15,
inference(rat,[],[s74,s75]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s18,s76,s71]) ).
tff(f4984,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP331_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n006.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 12:54:25 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.93/1.95 % (2952245)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.93/1.95 % (2952255)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3981441280:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.93/1.95 % (2952258)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4040674900:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.93/1.95 % (2952258)Instruction limit reached!
% 4.93/1.95 % (2952258)------------------------------
% 4.93/1.95 % (2952258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.95 % (2952258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.95 % (2952258)CaDiCaL version: 2.1.3
% 4.93/1.95 % (2952258)Termination reason: Instruction limit
% 4.93/1.95 % (2952258)Termination phase: Property scanning
% 4.93/1.95 % (2952258)Time elapsed: 0.005 s
% 4.93/1.95 % (2952258)Peak memory usage: 86 MB
% 4.93/1.95 % (2952258)Instructions burned: 7 (million)
% 4.93/1.95 % (2952255)Instruction limit reached!
% 4.93/1.95 % (2952255)------------------------------
% 4.93/1.95 % (2952255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.95 % (2952255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.95 % (2952255)CaDiCaL version: 2.1.3
% 4.93/1.95 % (2952255)Termination reason: Instruction limit
% 4.93/1.95 % (2952255)Termination phase: Property scanning
% 4.93/1.95 % (2952255)Time elapsed: 0.006 s
% 4.93/1.95 % (2952255)Peak memory usage: 86 MB
% 4.93/1.95 % (2952255)Instructions burned: 12 (million)
% 4.93/1.95 % (2952261)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1162273986:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.93/1.95 % (2952259)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1173434305:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.93/1.95 % (2952256)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4152781186:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.93/1.95 % (2952260)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4223418375:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.93/1.95 % (2952257)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1616509207:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.93/1.95 % (2952259)Instruction limit reached!
% 4.93/1.95 % (2952259)------------------------------
% 4.93/1.95 % (2952259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.95 % (2952259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.95 % (2952259)CaDiCaL version: 2.1.3
% 4.93/1.95 % (2952259)Termination reason: Instruction limit
% 4.93/1.95 % (2952259)Termination phase: Property scanning
% 4.93/1.95 % (2952259)Time elapsed: 0.005 s
% 4.93/1.95 % (2952259)Peak memory usage: 86 MB
% 4.93/1.95 % (2952259)Instructions burned: 4 (million)
% 4.93/1.95 % (2952261)Instruction limit reached!
% 4.93/1.95 % (2952261)------------------------------
% 4.93/1.95 % (2952261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.95 % (2952261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.95 % (2952261)CaDiCaL version: 2.1.3
% 4.93/1.95 % (2952261)Termination reason: Instruction limit
% 4.93/1.95 % (2952261)Termination phase: shuffling
% 4.93/1.95 % (2952261)Time elapsed: 0.032 s
% 4.93/1.95 % (2952261)Peak memory usage: 87 MB
% 4.93/1.95 % (2952261)Instructions burned: 33 (million)
% 4.93/1.95 % (2952260)Instruction limit reached!
% 4.93/1.95 % (2952260)------------------------------
% 4.93/1.95 % (2952260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.95 % (2952260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.95 % (2952260)CaDiCaL version: 2.1.3
% 4.93/1.95 % (2952260)Termination reason: Instruction limit
% 4.93/1.95 % (2952260)Termination phase: Property scanning
% 4.93/1.95 % (2952260)Time elapsed: 0.049 s
% 4.93/1.95 % (2952260)Peak memory usage: 89 MB
% 4.93/1.95 % (2952260)Instructions burned: 47 (million)
% 4.93/1.95 % (2952264)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3877225884:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.93/1.95 % (2952264)Instruction limit reached!
% 4.93/1.95 % (2952264)------------------------------
% 7.48/2.20 % (2952264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952264)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952264)Termination reason: Instruction limit
% 7.48/2.20 % (2952264)Termination phase: SInE selection
% 7.48/2.20 % (2952264)Time elapsed: 0.005 s
% 7.48/2.20 % (2952264)Peak memory usage: 86 MB
% 7.48/2.20 % (2952264)Instructions burned: 16 (million)
% 7.48/2.20 % (2952265)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2798902544:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.48/2.20 % (2952265)Instruction limit reached!
% 7.48/2.20 % (2952265)------------------------------
% 7.48/2.20 % (2952265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952265)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952265)Termination reason: Instruction limit
% 7.48/2.20 % (2952265)Termination phase: Preprocessing 1
% 7.48/2.20 % (2952265)Time elapsed: 0.028 s
% 7.48/2.20 % (2952265)Peak memory usage: 87 MB
% 7.48/2.20 % (2952265)Instructions burned: 29 (million)
% 7.48/2.20 % (2952271)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4011798714:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 7.48/2.20 % (2952257)Instruction limit reached!
% 7.48/2.20 % (2952257)------------------------------
% 7.48/2.20 % (2952257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952257)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952257)Termination reason: Instruction limit
% 7.48/2.20 % (2952257)Termination phase: Saturation
% 7.48/2.20 % (2952257)Time elapsed: 0.229 s
% 7.48/2.20 % (2952257)Peak memory usage: 120 MB
% 7.48/2.20 % (2952257)Instructions burned: 201 (million)
% 7.48/2.20 % (2952271)Instruction limit reached!
% 7.48/2.20 % (2952271)------------------------------
% 7.48/2.20 % (2952271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952271)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952271)Termination reason: Instruction limit
% 7.48/2.20 % (2952271)Termination phase: Preprocessing 1
% 7.48/2.20 % (2952271)Time elapsed: 0.010 s
% 7.48/2.20 % (2952271)Peak memory usage: 86 MB
% 7.48/2.20 % (2952271)Instructions burned: 16 (million)
% 7.48/2.20 % (2952275)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=684027353:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 7.48/2.20 % (2952272)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=728575620:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.48/2.20 % (2952273)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1702280147:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.48/2.20 % (2952272)Instruction limit reached!
% 7.48/2.20 % (2952272)------------------------------
% 7.48/2.20 % (2952272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952272)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952272)Termination reason: Instruction limit
% 7.48/2.20 % (2952272)Termination phase: Property scanning
% 7.48/2.20 % (2952272)Time elapsed: 0.023 s
% 7.48/2.20 % (2952272)Peak memory usage: 87 MB
% 7.48/2.20 % (2952272)Instructions burned: 25 (million)
% 7.48/2.20 % (2952273)Instruction limit reached!
% 7.48/2.20 % (2952273)------------------------------
% 7.48/2.20 % (2952273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.20 % (2952273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.20 % (2952273)CaDiCaL version: 2.1.3
% 7.48/2.20 % (2952273)Termination reason: Instruction limit
% 7.48/2.20 % (2952273)Termination phase: Preprocessing 1
% 7.48/2.20 % (2952273)Time elapsed: 0.024 s
% 7.48/2.20 % (2952273)Peak memory usage: 87 MB
% 7.48/2.20 % (2952273)Instructions burned: 27 (million)
% 7.48/2.20 % (2952275)Instruction limit reached!
% 7.48/2.20 % (2952275)------------------------------
% 8.37/2.43 % (2952275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952275)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952275)Termination reason: Instruction limit
% 8.37/2.43 % (2952275)Termination phase: Property scanning
% 8.37/2.43 % (2952275)Time elapsed: 0.045 s
% 8.37/2.43 % (2952275)Peak memory usage: 89 MB
% 8.37/2.43 % (2952275)Instructions burned: 88 (million)
% 8.37/2.43 % (2952256)Instruction limit reached!
% 8.37/2.43 % (2952256)------------------------------
% 8.37/2.43 % (2952256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952256)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952256)Termination reason: Instruction limit
% 8.37/2.43 % (2952256)Termination phase: Saturation
% 8.37/2.43 % (2952256)Time elapsed: 0.344 s
% 8.37/2.43 % (2952256)Peak memory usage: 121 MB
% 8.37/2.43 % (2952256)Instructions burned: 307 (million)
% 8.37/2.43 % (2952279)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=107609409:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.37/2.43 % (2952278)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2141067118:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.37/2.43 % (2952278)Instruction limit reached!
% 8.37/2.43 % (2952278)------------------------------
% 8.37/2.43 % (2952278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952278)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952278)Termination reason: Instruction limit
% 8.37/2.43 % (2952278)Termination phase: shuffling
% 8.37/2.43 % (2952278)Time elapsed: 0.004 s
% 8.37/2.43 % (2952278)Peak memory usage: 86 MB
% 8.37/2.43 % (2952278)Instructions burned: 2 (million)
% 8.37/2.43 % (2952286)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2118122499:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 8.37/2.43 % (2952286)Instruction limit reached!
% 8.37/2.43 % (2952286)------------------------------
% 8.37/2.43 % (2952286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952286)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952286)Termination reason: Instruction limit
% 8.37/2.43 % (2952286)Termination phase: Property scanning
% 8.37/2.43 % (2952286)Time elapsed: 0.004 s
% 8.37/2.43 % (2952286)Peak memory usage: 86 MB
% 8.37/2.43 % (2952286)Instructions burned: 8 (million)
% 8.37/2.43 % (2952281)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1853798997:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 8.37/2.43 % (2952281)Instruction limit reached!
% 8.37/2.43 % (2952281)------------------------------
% 8.37/2.43 % (2952281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952281)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952281)Termination reason: Instruction limit
% 8.37/2.43 % (2952281)Termination phase: Property scanning
% 8.37/2.43 % (2952281)Time elapsed: 0.006 s
% 8.37/2.43 % (2952281)Peak memory usage: 86 MB
% 8.37/2.43 % (2952281)Instructions burned: 5 (million)
% 8.37/2.43 % (2952284)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1938874863:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 8.37/2.43 % (2952279)Instruction limit reached!
% 8.37/2.43 % (2952279)------------------------------
% 8.37/2.43 % (2952279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.43 % (2952279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.43 % (2952279)CaDiCaL version: 2.1.3
% 8.37/2.43 % (2952279)Termination reason: Instruction limit
% 8.37/2.43 % (2952279)Termination phase: Saturation
% 8.37/2.43 % (2952279)Time elapsed: 0.108 s
% 8.37/2.43 % (2952279)Peak memory usage: 91 MB
% 8.37/2.43 % (2952279)Instructions burned: 182 (million)
% 8.37/2.43 % (2952285)lrs+10_1_thi=all:si=on:fd=off:random_seed=2050881803:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 10.57/2.82 % (2952284)Instruction limit reached!
% 10.57/2.82 % (2952284)------------------------------
% 10.57/2.82 % (2952284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952284)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952284)Termination reason: Instruction limit
% 10.57/2.82 % (2952284)Termination phase: Property scanning
% 10.57/2.82 % (2952284)Time elapsed: 0.067 s
% 10.57/2.82 % (2952284)Peak memory usage: 89 MB
% 10.57/2.82 % (2952284)Instructions burned: 66 (million)
% 10.57/2.82 % (2952285)Instruction limit reached!
% 10.57/2.82 % (2952285)------------------------------
% 10.57/2.82 % (2952285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952285)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952285)Termination reason: Instruction limit
% 10.57/2.82 % (2952285)Termination phase: Preprocessing 1
% 10.57/2.82 % (2952285)Time elapsed: 0.048 s
% 10.57/2.82 % (2952285)Peak memory usage: 87 MB
% 10.57/2.82 % (2952285)Instructions burned: 53 (million)
% 10.57/2.82 % (2952287)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2798436336:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 10.57/2.82 % (2952287)Instruction limit reached!
% 10.57/2.82 % (2952287)------------------------------
% 10.57/2.82 % (2952287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952287)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952287)Termination reason: Instruction limit
% 10.57/2.82 % (2952287)Termination phase: shuffling
% 10.57/2.82 % (2952287)Time elapsed: 0.004 s
% 10.57/2.82 % (2952287)Peak memory usage: 86 MB
% 10.57/2.82 % (2952287)Instructions burned: 3 (million)
% 10.57/2.82 % (2952293)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1365389615:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.57/2.82 % (2952291)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2013944903:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.57/2.82 % (2952294)dis+10_1_si=on:random_seed=3895706889:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.57/2.82 % (2952291)Instruction limit reached!
% 10.57/2.82 % (2952291)------------------------------
% 10.57/2.82 % (2952291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952291)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952291)Termination reason: Instruction limit
% 10.57/2.82 % (2952291)Termination phase: shuffling
% 10.57/2.82 % (2952291)Time elapsed: 0.004 s
% 10.57/2.82 % (2952291)Peak memory usage: 86 MB
% 10.57/2.82 % (2952291)Instructions burned: 3 (million)
% 10.57/2.82 % (2952294)Instruction limit reached!
% 10.57/2.82 % (2952294)------------------------------
% 10.57/2.82 % (2952294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952294)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952294)Termination reason: Instruction limit
% 10.57/2.82 % (2952294)Termination phase: Property scanning
% 10.57/2.82 % (2952294)Time elapsed: 0.011 s
% 10.57/2.82 % (2952294)Peak memory usage: 86 MB
% 10.57/2.82 % (2952294)Instructions burned: 11 (million)
% 10.57/2.82 % (2952293)Instruction limit reached!
% 10.57/2.82 % (2952293)------------------------------
% 10.57/2.82 % (2952293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.82 % (2952293)CaDiCaL version: 2.1.3
% 10.57/2.82 % (2952293)Termination reason: Instruction limit
% 10.57/2.82 % (2952293)Termination phase: Saturation
% 10.57/2.82 % (2952293)Time elapsed: 0.084 s
% 10.57/2.82 % (2952293)Peak memory usage: 116 MB
% 10.57/2.82 % (2952293)Instructions burned: 128 (million)
% 10.57/2.82 % (2952296)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3403920891:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.57/2.82 % (2952296)Instruction limit reached!
% 10.57/2.82 % (2952296)------------------------------
% 10.57/2.82 % (2952296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.82 % (2952296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.18 % (2952296)CaDiCaL version: 2.1.3
% 13.59/3.18 % (2952296)Termination reason: Instruction limit
% 13.59/3.18 % (2952296)Termination phase: Preprocessing 1
% 13.59/3.18 % (2952296)Time elapsed: 0.025 s
% 13.59/3.18 % (2952296)Peak memory usage: 87 MB
% 13.59/3.18 % (2952296)Instructions burned: 26 (million)
% 13.59/3.18 % (2952298)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3584061979:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 13.59/3.18 % (2952299)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2172572941:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 13.59/3.18 % (2952299)Instruction limit reached!
% 13.59/3.18 % (2952299)------------------------------
% 13.59/3.18 % (2952299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.18 % (2952299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.18 % (2952299)CaDiCaL version: 2.1.3
% 14.55/3.18 % (2952299)Termination reason: Instruction limit
% 14.55/3.18 % (2952299)Termination phase: shuffling
% 14.55/3.18 % (2952299)Time elapsed: 0.004 s
% 14.55/3.18 % (2952299)Peak memory usage: 85 MB
% 14.55/3.18 % (2952299)Instructions burned: 2 (million)
% 14.55/3.18 % (2952298)Instruction limit reached!
% 14.55/3.18 % (2952298)------------------------------
% 14.55/3.18 % (2952298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/3.18 % (2952298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.18 % (2952298)CaDiCaL version: 2.1.3
% 14.55/3.18 % (2952298)Termination reason: Instruction limit
% 14.55/3.18 % (2952298)Termination phase: Preprocessing 1
% 14.55/3.18 % (2952298)Time elapsed: 0.035 s
% 14.55/3.18 % (2952298)Peak memory usage: 87 MB
% 14.55/3.18 % (2952298)Instructions burned: 35 (million)
% 14.55/3.18 % (2952301)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1759731062:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 14.55/3.18 % (2952301)Instruction limit reached!
% 14.55/3.18 % (2952301)------------------------------
% 14.55/3.18 % (2952301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/3.18 % (2952301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.18 % (2952301)CaDiCaL version: 2.1.3
% 14.55/3.18 % (2952301)Termination reason: Instruction limit
% 14.55/3.18 % (2952301)Termination phase: Property scanning
% 14.55/3.18 % (2952301)Time elapsed: 0.009 s
% 14.55/3.18 % (2952301)Peak memory usage: 86 MB
% 14.55/3.18 % (2952301)Instructions burned: 8 (million)
% 14.55/3.18 % (2952308)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1036647946:i=226:rtra=on:gtg=position:ss=axioms_2989 on theBenchmark for (2989ds/226Mi)
% 14.55/3.18 % (2952305)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3733386985:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 14.55/3.18 % (2952306)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=298281961:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 14.55/3.18 % (2952306)Instruction limit reached!
% 14.55/3.18 % (2952306)------------------------------
% 14.55/3.18 % (2952306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/3.18 % (2952306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.18 % (2952306)CaDiCaL version: 2.1.3
% 14.55/3.18 % (2952306)Termination reason: Instruction limit
% 14.55/3.18 % (2952306)Termination phase: shuffling
% 14.55/3.18 % (2952306)Time elapsed: 0.012 s
% 14.55/3.18 % (2952306)Peak memory usage: 85 MB
% 14.55/3.18 % (2952306)Instructions burned: 13 (million)
% 14.55/3.18 % (2952308)Refutation not found, incomplete strategy
% 14.55/3.18 % (2952308)------------------------------
% 14.55/3.18 % (2952308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/3.18 % (2952308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.18 % (2952308)CaDiCaL version: 2.1.3
% 14.55/3.18 % (2952308)Termination reason: Refutation not found, incomplete strategy
% 14.55/3.18 % (2952308)Time elapsed: 0.044 s
% 14.55/3.18 % (2952308)Peak memory usage: 117 MB
% 14.55/3.18 % (2952308)Instructions burned: 52 (million)
% 14.55/3.18 % (2952309)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1442941377:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 16.59/3.54 % (2952309)Instruction limit reached!
% 16.59/3.54 % (2952309)------------------------------
% 16.59/3.54 % (2952309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.54 % (2952309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.54 % (2952309)CaDiCaL version: 2.1.3
% 16.59/3.54 % (2952309)Termination reason: Instruction limit
% 16.59/3.54 % (2952309)Termination phase: Property scanning
% 16.59/3.54 % (2952309)Time elapsed: 0.011 s
% 16.59/3.54 % (2952309)Peak memory usage: 86 MB
% 16.59/3.54 % (2952309)Instructions burned: 11 (million)
% 16.59/3.54 % (2952312)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=318030680:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 16.59/3.54 % (2952315)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2847256530:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 16.59/3.54 % (2952313)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1049169955:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 16.59/3.54 % (2952319)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2004994081:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/130Mi)
% 16.59/3.54 % (2952312)Instruction limit reached!
% 16.59/3.54 % (2952312)------------------------------
% 16.59/3.54 % (2952312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.54 % (2952312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.54 % (2952312)CaDiCaL version: 2.1.3
% 16.59/3.54 % (2952312)Termination reason: Instruction limit
% 16.59/3.54 % (2952312)Termination phase: Property scanning
% 16.59/3.54 % (2952312)Time elapsed: 0.071 s
% 16.59/3.54 % (2952312)Peak memory usage: 89 MB
% 16.59/3.54 % (2952312)Instructions burned: 71 (million)
% 16.59/3.54 % (2952313)Instruction limit reached!
% 16.59/3.54 % (2952313)------------------------------
% 16.59/3.54 % (2952313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.54 % (2952313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.54 % (2952313)CaDiCaL version: 2.1.3
% 16.59/3.54 % (2952313)Termination reason: Instruction limit
% 16.59/3.54 % (2952313)Termination phase: Property scanning
% 16.59/3.54 % (2952313)Time elapsed: 0.072 s
% 16.59/3.54 % (2952313)Peak memory usage: 89 MB
% 16.59/3.54 % (2952313)Instructions burned: 75 (million)
% 16.59/3.54 % (2952319)Instruction limit reached!
% 16.59/3.54 % (2952319)------------------------------
% 16.59/3.54 % (2952319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.54 % (2952319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.54 % (2952319)CaDiCaL version: 2.1.3
% 16.59/3.54 % (2952319)Termination reason: Instruction limit
% 16.59/3.54 % (2952319)Termination phase: Property scanning
% 16.59/3.54 % (2952319)Time elapsed: 0.073 s
% 16.59/3.54 % (2952319)Peak memory usage: 90 MB
% 16.59/3.54 % (2952319)Instructions burned: 132 (million)
% 16.59/3.54 % (2952308)------------------------------
% 16.59/3.54 % (2952308)------------------------------
% 16.59/3.54 % (2952321)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4070831985:i=131:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 16.59/3.54 % (2952305)Instruction limit reached!
% 16.59/3.54 % (2952305)------------------------------
% 16.59/3.54 % (2952305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.54 % (2952305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.54 % (2952305)CaDiCaL version: 2.1.3
% 16.59/3.54 % (2952305)Termination reason: Instruction limit
% 16.59/3.54 % (2952305)Termination phase: Saturation
% 16.59/3.54 % (2952305)Time elapsed: 0.358 s
% 16.59/3.54 % (2952305)Peak memory usage: 96 MB
% 16.59/3.54 % (2952305)Instructions burned: 370 (million)
% 16.59/3.54 % (2952328)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3727996806:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 16.59/3.54 % (2952326)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=1261108082:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 20.90/4.11 % (2952327)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2570325712:i=307:rtra=on:gtg=exists_top_2984 on theBenchmark for (2984ds/307Mi)
% 20.90/4.11 % (2952315)Instruction limit reached!
% 20.90/4.11 % (2952315)------------------------------
% 20.90/4.11 % (2952315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952315)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952315)Termination reason: Instruction limit
% 20.90/4.11 % (2952315)Termination phase: Saturation
% 20.90/4.11 % (2952315)Time elapsed: 0.312 s
% 20.90/4.11 % (2952315)Peak memory usage: 94 MB
% 20.90/4.11 % (2952315)Instructions burned: 294 (million)
% 20.90/4.11 % (2952326)Instruction limit reached!
% 20.90/4.11 % (2952326)------------------------------
% 20.90/4.11 % (2952326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952326)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952326)Termination reason: Instruction limit
% 20.90/4.11 % (2952326)Termination phase: Property scanning
% 20.90/4.11 % (2952326)Time elapsed: 0.029 s
% 20.90/4.11 % (2952326)Peak memory usage: 87 MB
% 20.90/4.11 % (2952326)Instructions burned: 40 (million)
% 20.90/4.11 % (2952321)Instruction limit reached!
% 20.90/4.11 % (2952321)------------------------------
% 20.90/4.11 % (2952321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952321)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952321)Termination reason: Instruction limit
% 20.90/4.11 % (2952321)Termination phase: Saturation
% 20.90/4.11 % (2952321)Time elapsed: 0.183 s
% 20.90/4.11 % (2952321)Peak memory usage: 133 MB
% 20.90/4.11 % (2952321)Instructions burned: 132 (million)
% 20.90/4.11 % (2952329)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3496906407:i=131:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/131Mi)
% 20.90/4.11 % (2952332)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1559700390:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2983 on theBenchmark for (2983ds/259Mi)
% 20.90/4.11 % (2952329)Instruction limit reached!
% 20.90/4.11 % (2952329)------------------------------
% 20.90/4.11 % (2952329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952329)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952329)Termination reason: Instruction limit
% 20.90/4.11 % (2952329)Termination phase: Saturation
% 20.90/4.11 % (2952329)Time elapsed: 0.150 s
% 20.90/4.11 % (2952329)Peak memory usage: 116 MB
% 20.90/4.11 % (2952329)Instructions burned: 131 (million)
% 20.90/4.11 % (2952332)Instruction limit reached!
% 20.90/4.11 % (2952332)------------------------------
% 20.90/4.11 % (2952332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952332)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952332)Termination reason: Instruction limit
% 20.90/4.11 % (2952332)Termination phase: Saturation
% 20.90/4.11 % (2952332)Time elapsed: 0.154 s
% 20.90/4.11 % (2952332)Peak memory usage: 118 MB
% 20.90/4.11 % (2952332)Instructions burned: 259 (million)
% 20.90/4.11 % (2952337)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3277124871:i=383:fsr=off:rtra=on:ev=force_2982 on theBenchmark for (2982ds/383Mi)
% 20.90/4.11 % (2952336)dis+10_1_si=on:random_seed=948744790:s2a=on:i=1000:rtra=on:gtg=exists_all_2982 on theBenchmark for (2982ds/1000Mi)
% 20.90/4.11 % (2952327)Instruction limit reached!
% 20.90/4.11 % (2952327)------------------------------
% 20.90/4.11 % (2952327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.90/4.11 % (2952327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.90/4.11 % (2952327)CaDiCaL version: 2.1.3
% 20.90/4.11 % (2952327)Termination reason: Instruction limit
% 20.90/4.11 % (2952327)Termination phase: Saturation
% 20.90/4.11 % (2952327)Time elapsed: 0.308 s
% 20.90/4.11 % (2952327)Peak memory usage: 95 MB
% 20.90/4.11 % (2952327)Instructions burned: 307 (million)
% 20.90/4.11 % (2952340)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=3690320705:i=141:doe=on:rtra=on_2981 on theBenchmark for (2981ds/141Mi)
% 22.12/4.45 % (2952342)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=4267777775:i=65:nm=16:rtra=on_2980 on theBenchmark for (2980ds/65Mi)
% 22.12/4.45 % (2952340)Instruction limit reached!
% 22.12/4.45 % (2952340)------------------------------
% 22.12/4.45 % (2952340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952340)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952340)Termination reason: Instruction limit
% 22.12/4.45 % (2952340)Termination phase: Saturation
% 22.12/4.45 % (2952340)Time elapsed: 0.137 s
% 22.12/4.45 % (2952340)Peak memory usage: 92 MB
% 22.12/4.45 % (2952340)Instructions burned: 141 (million)
% 22.12/4.45 % (2952346)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=1446376585:s2a=on:i=128:s2at=5:ins=3:rtra=on_2979 on theBenchmark for (2979ds/128Mi)
% 22.12/4.45 % (2952345)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1592998225:i=121:nm=16:rtra=on_2979 on theBenchmark for (2979ds/121Mi)
% 22.12/4.45 % (2952342)Instruction limit reached!
% 22.12/4.45 % (2952342)------------------------------
% 22.12/4.45 % (2952342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952342)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952342)Termination reason: Instruction limit
% 22.12/4.45 % (2952342)Termination phase: Property scanning
% 22.12/4.45 % (2952342)Time elapsed: 0.064 s
% 22.12/4.45 % (2952342)Peak memory usage: 89 MB
% 22.12/4.45 % (2952342)Instructions burned: 65 (million)
% 22.12/4.45 % (2952346)Instruction limit reached!
% 22.12/4.45 % (2952346)------------------------------
% 22.12/4.45 % (2952346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952346)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952346)Termination reason: Instruction limit
% 22.12/4.45 % (2952346)Termination phase: Saturation
% 22.12/4.45 % (2952346)Time elapsed: 0.065 s
% 22.12/4.45 % (2952346)Peak memory usage: 92 MB
% 22.12/4.45 % (2952346)Instructions burned: 129 (million)
% 22.12/4.45 % (2952328)Instruction limit reached!
% 22.12/4.45 % (2952328)------------------------------
% 22.12/4.45 % (2952328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952328)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952328)Termination reason: Instruction limit
% 22.12/4.45 % (2952328)Termination phase: Saturation
% 22.12/4.45 % (2952328)Time elapsed: 0.655 s
% 22.12/4.45 % (2952328)Peak memory usage: 141 MB
% 22.12/4.45 % (2952328)Instructions burned: 599 (million)
% 22.12/4.45 % (2952345)Instruction limit reached!
% 22.12/4.45 % (2952345)------------------------------
% 22.12/4.45 % (2952345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952345)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952345)Termination reason: Instruction limit
% 22.12/4.45 % (2952345)Termination phase: Saturation
% 22.12/4.45 % (2952345)Time elapsed: 0.110 s
% 22.12/4.45 % (2952345)Peak memory usage: 91 MB
% 22.12/4.45 % (2952345)Instructions burned: 122 (million)
% 22.12/4.45 % (2952349)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=4274797427:i=39:ins=3:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 22.12/4.45 % (2952337)Instruction limit reached!
% 22.12/4.45 % (2952337)------------------------------
% 22.12/4.45 % (2952337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/4.45 % (2952337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/4.45 % (2952337)CaDiCaL version: 2.1.3
% 22.12/4.45 % (2952337)Termination reason: Instruction limit
% 22.12/4.45 % (2952337)Termination phase: Saturation
% 22.12/4.45 % (2952337)Time elapsed: 0.425 s
% 22.12/4.45 % (2952337)Peak memory usage: 101 MB
% 22.12/4.45 % (2952337)Instructions burned: 383 (million)
% 22.12/4.45 % (2952349)Instruction limit reached!
% 22.12/4.45 % (2952349)------------------------------
% 22.12/4.45 % (2952349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.78/4.99 % (2952349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.78/4.99 % (2952349)CaDiCaL version: 2.1.3
% 24.78/4.99 % (2952349)Termination reason: Instruction limit
% 24.78/4.99 % (2952349)Termination phase: Preprocessing 3
% 24.78/4.99 % (2952349)Time elapsed: 0.040 s
% 24.78/4.99 % (2952349)Peak memory usage: 88 MB
% 24.78/4.99 % (2952349)Instructions burned: 39 (million)
% 24.78/4.99 % (2952353)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4189280405:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/329Mi)
% 24.78/4.99 % (2952352)dis+1010_1_to=kbo:si=on:random_seed=1577344837:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2977 on theBenchmark for (2977ds/175Mi)
% 24.78/4.99 % (2952354)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=2700153695:s2a=on:i=483:doe=on:nm=32:rtra=on_2976 on theBenchmark for (2976ds/483Mi)
% 24.78/4.99 % (2952355)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=3110275007:thitd=on:i=215:nm=0:rtra=on:ev=force_2976 on theBenchmark for (2976ds/215Mi)
% 24.78/4.99 % (2952357)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=1087550088:i=349:rtra=on_2975 on theBenchmark for (2975ds/349Mi)
% 24.78/4.99 % (2952353)Instruction limit reached!
% 24.78/4.99 % (2952353)------------------------------
% 24.78/4.99 % (2952353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.78/4.99 % (2952353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.78/4.99 % (2952353)CaDiCaL version: 2.1.3
% 24.78/4.99 % (2952353)Termination reason: Instruction limit
% 24.78/4.99 % (2952353)Termination phase: Saturation
% 24.78/4.99 % (2952353)Time elapsed: 0.172 s
% 24.78/4.99 % (2952353)Peak memory usage: 121 MB
% 24.78/4.99 % (2952353)Instructions burned: 329 (million)
% 24.78/4.99 % (2952352)Instruction limit reached!
% 24.78/4.99 % (2952352)------------------------------
% 24.78/4.99 % (2952352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.78/4.99 % (2952352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.78/4.99 % (2952352)CaDiCaL version: 2.1.3
% 24.78/4.99 % (2952352)Termination reason: Instruction limit
% 24.78/4.99 % (2952352)Termination phase: Saturation
% 24.78/4.99 % (2952352)Time elapsed: 0.168 s
% 24.78/4.99 % (2952352)Peak memory usage: 93 MB
% 24.78/4.99 % (2952352)Instructions burned: 175 (million)
% 24.78/4.99 % (2952358)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=2611090114:st=2:i=295:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/295Mi)
% 24.78/4.99 % (2952355)Instruction limit reached!
% 24.78/4.99 % (2952355)------------------------------
% 24.78/4.99 % (2952355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.78/4.99 % (2952355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.78/4.99 % (2952355)CaDiCaL version: 2.1.3
% 24.78/4.99 % (2952355)Termination reason: Instruction limit
% 24.78/4.99 % (2952355)Termination phase: Saturation
% 24.78/4.99 % (2952355)Time elapsed: 0.262 s
% 24.78/4.99 % (2952355)Peak memory usage: 138 MB
% 24.78/4.99 % (2952355)Instructions burned: 216 (million)
% 24.78/4.99 % (2952365)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=2998203491:i=328:kws=inv_frequency:nm=20:rtra=on_2972 on theBenchmark for (2972ds/328Mi)
% 24.78/4.99 % (2952336)Instruction limit reached!
% 24.78/4.99 % (2952336)------------------------------
% 24.78/4.99 % (2952336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.78/4.99 % (2952336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.78/4.99 % (2952336)CaDiCaL version: 2.1.3
% 24.78/4.99 % (2952336)Termination reason: Instruction limit
% 24.78/4.99 % (2952336)Termination phase: Saturation
% 24.78/4.99 % (2952336)Time elapsed: 0.926 s
% 24.78/4.99 % (2952336)Peak memory usage: 99 MB
% 24.78/4.99 % (2952336)Instructions burned: 1001 (million)
% 24.78/4.99 % (2952366)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=1766714826:i=281:gtgl=2:rtra=on:gtg=all_2972 on theBenchmark for (2972ds/281Mi)
% 24.78/4.99 % (2952357)Instruction limit reached!
% 24.78/4.99 % (2952357)------------------------------
% 24.78/4.99 % (2952357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952357)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952357)Termination reason: Instruction limit
% 27.60/5.51 % (2952357)Termination phase: Saturation
% 27.60/5.51 % (2952357)Time elapsed: 0.391 s
% 27.60/5.51 % (2952357)Peak memory usage: 121 MB
% 27.60/5.51 % (2952357)Instructions burned: 349 (million)
% 27.60/5.51 % (2952358)Instruction limit reached!
% 27.60/5.51 % (2952358)------------------------------
% 27.60/5.51 % (2952358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952358)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952358)Termination reason: Instruction limit
% 27.60/5.51 % (2952358)Termination phase: Saturation
% 27.60/5.51 % (2952358)Time elapsed: 0.281 s
% 27.60/5.51 % (2952358)Peak memory usage: 92 MB
% 27.60/5.51 % (2952358)Instructions burned: 296 (million)
% 27.60/5.51 % (2952365)Instruction limit reached!
% 27.60/5.51 % (2952365)------------------------------
% 27.60/5.51 % (2952365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952365)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952365)Termination reason: Instruction limit
% 27.60/5.51 % (2952365)Termination phase: Saturation
% 27.60/5.51 % (2952365)Time elapsed: 0.196 s
% 27.60/5.51 % (2952365)Peak memory usage: 121 MB
% 27.60/5.51 % (2952365)Instructions burned: 328 (million)
% 27.60/5.51 % (2952370)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=3488768944:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/484Mi)
% 27.60/5.51 % (2952354)Instruction limit reached!
% 27.60/5.51 % (2952354)------------------------------
% 27.60/5.51 % (2952354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952354)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952354)Termination reason: Instruction limit
% 27.60/5.51 % (2952354)Termination phase: Saturation
% 27.60/5.51 % (2952354)Time elapsed: 0.553 s
% 27.60/5.51 % (2952354)Peak memory usage: 139 MB
% 27.60/5.51 % (2952354)Instructions burned: 484 (million)
% 27.60/5.51 % (2952371)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=24206400:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_2970 on theBenchmark for (2970ds/321Mi)
% 27.60/5.51 % (2952370)Refutation not found, incomplete strategy
% 27.60/5.51 % (2952370)------------------------------
% 27.60/5.51 % (2952370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952370)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952370)Termination reason: Refutation not found, incomplete strategy
% 27.60/5.51 % (2952370)Time elapsed: 0.041 s
% 27.60/5.51 % (2952370)Peak memory usage: 90 MB
% 27.60/5.51 % (2952370)Instructions burned: 46 (million)
% 27.60/5.51 % (2952374)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=2164386938:i=471:thf=on:kws=precedence:rtra=on_2969 on theBenchmark for (2969ds/471Mi)
% 27.60/5.51 % (2952373)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=294266452:i=416:rtra=on:gtg=position:ss=axioms_2969 on theBenchmark for (2969ds/416Mi)
% 27.60/5.51 % (2952366)Instruction limit reached!
% 27.60/5.51 % (2952366)------------------------------
% 27.60/5.51 % (2952366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952366)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952366)Termination reason: Instruction limit
% 27.60/5.51 % (2952366)Termination phase: Saturation
% 27.60/5.51 % (2952366)Time elapsed: 0.298 s
% 27.60/5.51 % (2952366)Peak memory usage: 120 MB
% 27.60/5.51 % (2952366)Instructions burned: 282 (million)
% 27.60/5.51 % (2952375)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=991403530:avsq=on:i=276:avsqr=1,2:rtra=on_2968 on theBenchmark for (2968ds/276Mi)
% 27.60/5.51 % (2952373)Refutation not found, incomplete strategy
% 27.60/5.51 % (2952373)------------------------------
% 27.60/5.51 % (2952373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952373)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952373)Termination reason: Refutation not found, incomplete strategy
% 27.60/5.51 % (2952373)Time elapsed: 0.078 s
% 27.60/5.51 % (2952373)Peak memory usage: 116 MB
% 27.60/5.51 % (2952373)Instructions burned: 52 (million)
% 27.60/5.51 % (2952374)Instruction limit reached!
% 27.60/5.51 % (2952374)------------------------------
% 27.60/5.51 % (2952374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952374)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952374)Termination reason: Instruction limit
% 27.60/5.51 % (2952374)Termination phase: Saturation
% 27.60/5.51 % (2952374)Time elapsed: 0.206 s
% 27.60/5.51 % (2952374)Peak memory usage: 124 MB
% 27.60/5.51 % (2952374)Instructions burned: 471 (million)
% 27.60/5.51 % (2952379)lrs+1010_2_to=kbo:sil=128000:tgt=ground:fde=unused:sas=z3:si=on:uwa=off:tha=off:nwc=1:random_seed=1653261922:i=375:kws=inv_arity_squared:rtra=on_2967 on theBenchmark for (2967ds/375Mi)
% 27.60/5.51 % (2952371)Instruction limit reached!
% 27.60/5.51 % (2952371)------------------------------
% 27.60/5.51 % (2952371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952371)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952371)Termination reason: Instruction limit
% 27.60/5.51 % (2952371)Termination phase: Saturation
% 27.60/5.51 % (2952371)Time elapsed: 0.335 s
% 27.60/5.51 % (2952371)Peak memory usage: 119 MB
% 27.60/5.51 % (2952371)Instructions burned: 321 (million)
% 27.60/5.51 % (2952382)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=2857464233:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/387Mi)
% 27.60/5.51 % (2952370)------------------------------
% 27.60/5.51 % (2952370)------------------------------
% 27.60/5.51 % (2952385)lrs+10_1_to=kbo:sil=128000:fde=none:si=on:norm_ineq=on:urr=on:nwc=0.5:random_seed=1083823550:i=513:kws=frequency:bd=all:rtra=on:gtg=exists_all:ss=axioms:sgt=4_2965 on theBenchmark for (2965ds/513Mi)
% 27.60/5.51 % (2952375)Instruction limit reached!
% 27.60/5.51 % (2952375)------------------------------
% 27.60/5.51 % (2952375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952375)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952375)Termination reason: Instruction limit
% 27.60/5.51 % (2952375)Termination phase: Saturation
% 27.60/5.51 % (2952375)Time elapsed: 0.328 s
% 27.60/5.51 % (2952375)Peak memory usage: 138 MB
% 27.60/5.51 % (2952375)Instructions burned: 276 (million)
% 27.60/5.51 % (2952373)------------------------------
% 27.60/5.51 % (2952373)------------------------------
% 27.60/5.51 % (2952387)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=261303856:i=334:rtra=on_2964 on theBenchmark for (2964ds/334Mi)
% 27.60/5.51 % (2952385)First to succeed.
% 27.60/5.51 % (2952385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2952245"
% 27.60/5.51 % (2952389)lrs+1010_1_to=kbo:sil=64000:sas=cadical:si=on:sos=on:bce=on:random_seed=2341543820:i=359:rtra=on:gtg=exists_top:ss=axioms_2963 on theBenchmark for (2963ds/359Mi)
% 27.60/5.51 % (2952379)Instruction limit reached!
% 27.60/5.51 % (2952379)------------------------------
% 27.60/5.51 % (2952379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952379)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952379)Termination reason: Instruction limit
% 27.60/5.51 % (2952379)Termination phase: Saturation
% 27.60/5.51 % (2952379)Time elapsed: 0.425 s
% 27.60/5.51 % (2952379)Peak memory usage: 122 MB
% 27.60/5.51 % (2952379)Instructions burned: 375 (million)
% 27.60/5.51 % (2952389)Refutation not found, incomplete strategy
% 27.60/5.51 % (2952389)------------------------------
% 27.60/5.51 % (2952389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952389)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952389)Termination reason: Refutation not found, incomplete strategy
% 27.60/5.51 % (2952389)Time elapsed: 0.062 s
% 27.60/5.51 % (2952389)Peak memory usage: 90 MB
% 27.60/5.51 % (2952389)Instructions burned: 71 (million)
% 27.60/5.51 % (2952391)dis+1010_1_to=lpo:sil=128000:thi=all:fde=unused:si=on:sp=reverse_arity:tha=off:random_seed=458566334:i=341:gtgl=2:rtra=on:gtg=exists_sym:ev=force:fsd=on:fsdmm=1_2963 on theBenchmark for (2963ds/341Mi)
% 27.60/5.51 % (2952382)Instruction limit reached!
% 27.60/5.51 % (2952382)------------------------------
% 27.60/5.51 % (2952382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952382)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952382)Termination reason: Instruction limit
% 27.60/5.51 % (2952382)Termination phase: Saturation
% 27.60/5.51 % (2952382)Time elapsed: 0.420 s
% 27.60/5.51 % (2952382)Peak memory usage: 118 MB
% 27.60/5.51 % (2952382)Instructions burned: 387 (million)
% 27.60/5.51 % (2952387)Refutation not found, SMT solver inside AVATAR returned Unknown
% 27.60/5.51 % (2952387)------------------------------
% 27.60/5.51 % (2952387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.60/5.51 % (2952387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/5.51 % (2952387)CaDiCaL version: 2.1.3
% 27.60/5.51 % (2952387)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 27.60/5.51 % (2952387)Time elapsed: 0.264 s
% 27.60/5.51 % (2952387)Peak memory usage: 139 MB
% 27.60/5.51 % (2952387)Instructions burned: 259 (million)
% 27.60/5.51 % (2952387)------------------------------
% 27.60/5.51 % (2952387)------------------------------
% 27.60/5.51 % (2952385)Refutation found. Thanks to Tanya!
% 27.60/5.51 % SZS status Theorem for theBenchmark
% 27.60/5.51 % SZS output start Proof for theBenchmark
% See solution above
% 29.09/5.85 % (2952385)------------------------------
% 29.09/5.85 % (2952385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.09/5.85 % (2952385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.09/5.85 % (2952385)CaDiCaL version: 2.1.3
% 29.09/5.85 % (2952385)Termination reason: Refutation
% 29.09/5.85 % (2952385)Time elapsed: 0.177 s
% 29.09/5.85 % (2952385)Peak memory usage: 95 MB
% 29.09/5.85 % (2952385)Instructions burned: 309 (million)
% 29.09/5.85 % (2952385)------------------------------
% 29.09/5.85 % (2952385)------------------------------
% 29.09/5.85 % (2952245)Success in time 4.424 s
% 29.09/5.85 % Vampire exiting
%------------------------------------------------------------------------------