%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP321_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 : n013.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 11:33:36 AM UTC 2026
% Result : Theorem 16.50s 3.40s
% Output : Refutation 17.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 87 ( 65 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 120 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 22 ~; 20 |; 9 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 81 ( 79 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-4 aty)
% Number of functors : 461 ( 461 usr; 68 con; 0-5 aty)
% Number of variables : 103 ( 101 !; 2 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'C_nat_fun$': $tType ).
tff(type_def_6,type,
'A_c_vec_bool_fun$': $tType ).
tff(type_def_7,type,
'B_a_b_vec_fun$': $tType ).
tff(type_def_8,type,
'C_a_b_vec_b_vec_fun$': $tType ).
tff(type_def_9,type,
'A_c_vec_c_vec$': $tType ).
tff(type_def_10,type,
'C_a_fun_bool_fun$': $tType ).
tff(type_def_11,type,
'B_c_a_b_vec_fun_fun$': $tType ).
tff(type_def_12,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_13,type,
'C_a_b_vec_c_vec_fun$': $tType ).
tff(type_def_14,type,
'A_c_fun$': $tType ).
tff(type_def_15,type,
'A_nat_fun$': $tType ).
tff(type_def_16,type,
'C_a_fun_a_fun$': $tType ).
tff(type_def_17,type,
'A_c_vec_c_vec_bool_fun$': $tType ).
tff(type_def_18,type,
'A_int_fun$': $tType ).
tff(type_def_19,type,
'C_a_fun_b_fun$': $tType ).
tff(type_def_20,type,
'B_b_fun$': $tType ).
tff(type_def_21,type,
'C_a_b_vec_bool_fun_fun$': $tType ).
tff(type_def_22,type,
'C_c_fun$': $tType ).
tff(type_def_23,type,
'C_a_b_vec_fun_b_fun$': $tType ).
tff(type_def_24,type,
'C_a_fun$': $tType ).
tff(type_def_25,type,
'A_a_c_vec_fun$': $tType ).
tff(type_def_26,type,
'Int_set$': $tType ).
tff(type_def_27,type,
'Int_int_fun$': $tType ).
tff(type_def_28,type,
'A_c_vec_a_b_vec_fun$': $tType ).
tff(type_def_29,type,
'A_c_vec_c_vec_a_c_vec_c_vec_fun$': $tType ).
tff(type_def_30,type,
'C_set_c_set_fun$': $tType ).
tff(type_def_31,type,
'A_a_b_vec_fun$': $tType ).
tff(type_def_32,type,
'B_a_c_vec_fun$': $tType ).
tff(type_def_33,type,
'A_b_vec_b_vec$': $tType ).
tff(type_def_34,type,
'B$': $tType ).
tff(type_def_35,type,
'A_b_vec_c_vec$': $tType ).
tff(type_def_36,type,
'C_int_c_vec_fun$': $tType ).
tff(type_def_37,type,
'C_a_b_vec_fun$': $tType ).
tff(type_def_38,type,
'A_c_vec_b_vec$': $tType ).
tff(type_def_39,type,
'B_c_a_fun_fun$': $tType ).
tff(type_def_40,type,
'C$': $tType ).
tff(type_def_41,type,
'Nat$': $tType ).
tff(type_def_42,type,
'C_b_fun$': $tType ).
tff(type_def_43,type,
'C_a_fun_set$': $tType ).
tff(type_def_44,type,
'A_b_vec$': $tType ).
tff(type_def_45,type,
'B_a_fun_b_fun$': $tType ).
tff(type_def_46,type,
'C_a_bool_fun_fun$': $tType ).
tff(type_def_47,type,
'C_int_fun$': $tType ).
tff(type_def_48,type,
'A_c_vec_a_c_vec_fun$': $tType ).
tff(type_def_49,type,
'C_c_a_fun_fun$': $tType ).
tff(type_def_50,type,
'C_a_b_vec_fun_set$': $tType ).
tff(type_def_51,type,
'B_a_fun$': $tType ).
tff(type_def_52,type,
tlbool: $tType ).
tff(type_def_53,type,
'B_b_a_fun_fun$': $tType ).
tff(type_def_54,type,
'C_a_b_vec_fun_a_fun$': $tType ).
tff(type_def_55,type,
'B_a_fun_a_fun$': $tType ).
tff(type_def_56,type,
'A_bool_fun$': $tType ).
tff(type_def_57,type,
'A_set$': $tType ).
tff(type_def_58,type,
'A_c_vec_c_vec_c_vec$': $tType ).
tff(type_def_59,type,
'C_a_c_vec_b_vec_fun$': $tType ).
tff(type_def_60,type,
'A_c_vec$': $tType ).
tff(type_def_61,type,
'C_bool_fun$': $tType ).
tff(type_def_62,type,
'A_b_fun$': $tType ).
tff(type_def_63,type,
'B_set$': $tType ).
tff(type_def_64,type,
'A$': $tType ).
tff(type_def_65,type,
'Int_c_vec$': $tType ).
tff(type_def_66,type,
'C_a_c_vec_c_vec_fun$': $tType ).
tff(type_def_67,type,
'A_a_fun$': $tType ).
tff(type_def_68,type,
'A_c_vec_a_fun$': $tType ).
tff(type_def_69,type,
'C_a_c_vec_fun_bool_fun$': $tType ).
tff(type_def_70,type,
'A_b_vec_c_vec_c_vec$': $tType ).
tff(type_def_71,type,
'A_b_vec_a_fun$': $tType ).
tff(type_def_72,type,
'C_a_b_vec_fun_bool_fun$': $tType ).
tff(type_def_73,type,
'A_b_vec_bool_fun$': $tType ).
tff(type_def_74,type,
'C_a_c_vec_bool_fun_fun$': $tType ).
tff(type_def_75,type,
'Nat_bool_fun$': $tType ).
tff(type_def_76,type,
'C_a_c_vec_fun_set$': $tType ).
tff(type_def_77,type,
'C_a_c_vec_fun$': $tType ).
tff(type_def_78,type,
'B_a_fun_set$': $tType ).
tff(type_def_79,type,
'B_c_fun$': $tType ).
tff(type_def_80,type,
'B_a_bool_fun_fun$': $tType ).
tff(type_def_81,type,
'C_set$': $tType ).
tff(type_def_82,type,
'Int_c_vec_c_vec$': $tType ).
tff(type_def_83,type,
'B_a_fun_bool_fun$': $tType ).
tff(func_def_0,type,
'uve$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'C$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_1,type,
'vax$': ( 'A_b_vec$' * 'A_b_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_2,type,
'vae$': ( 'A_b_vec_c_vec$' * 'C$' * 'C$' * 'A$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_3,type,
'uyq$': ( 'A_b_vec$' * 'A_c_vec_b_vec$' ) > 'C_a_fun$' ).
tff(func_def_4,type,
'fun_app$y': ( 'C_nat_fun$' * 'C$' ) > 'Nat$' ).
tff(func_def_5,type,
'fun_app$q': ( 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' * 'A_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_6,type,
'mat$b': 'A_b_vec$' > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_7,type,
'uvn$': ( 'A_c_vec_b_vec$' * 'C$' * 'C$' ) > 'B_a_c_vec_fun$' ).
tff(func_def_8,type,
'uzj$': 'C$' > 'C_bool_fun$' ).
tff(func_def_9,type,
'uyd$': 'A_b_vec$' > 'B_c_a_fun_fun$' ).
tff(func_def_10,type,
'plus$f': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_11,type,
'times$k': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_12,type,
'uvr$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_13,type,
'columnvector_row$a': 'A_c_vec$' > 'C_a_c_vec_fun$' ).
tff(func_def_14,type,
'one$k': 'Int_set$' ).
tff(func_def_15,type,
'uwx$': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_16,type,
'columnvector$': 'A_c_vec_c_vec$' > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_17,type,
'mult_row$d': ( 'A_c_vec_b_vec$' * 'B$' * 'A$' ) > 'A_c_vec_b_vec$' ).
tff(func_def_18,type,
'scalar_product$a': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_19,type,
'uzm$': ( 'C_set$' * 'C_set$' ) > 'C_bool_fun$' ).
tff(func_def_20,type,
'vec_nth$c': 'A_b_vec_c_vec$' > 'C_a_b_vec_fun$' ).
tff(func_def_21,type,
'uwc$': 'C_a_b_vec_fun$' ).
tff(func_def_22,type,
'insert$a': ( 'A$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_23,type,
'uye$': 'A_b_vec$' > 'B_a_c_vec_fun$' ).
tff(func_def_24,type,
'fun_app$aa': ( 'A_c_fun$' * 'A$' ) > 'C$' ).
tff(func_def_25,type,
'uxs$': ( 'A_b_vec_c_vec$' * 'A_c_vec_b_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_26,type,
'uzw$': ( 'C$' * 'C_set$' ) > 'C_bool_fun$' ).
tff(func_def_27,type,
'vector_scalar_mult$d': ( 'A_b_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_28,type,
'mat_mult_row$a': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_29,type,
'uxq$': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_30,type,
'uwm$': 'Int_int_fun$' ).
tff(func_def_31,type,
'minus$a': ( 'C_bool_fun$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_32,type,
'uvj$': ( 'Int_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_int_c_vec_fun$' ).
tff(func_def_33,type,
'fun_app$u': ( 'B_c_a_b_vec_fun_fun$' * 'B$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_34,type,
'columnvector_row$': 'A_c_vec_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_35,type,
'one$c': 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_36,type,
'mat$': 'A$' > 'A_c_vec_c_vec$' ).
tff(func_def_37,type,
'mult_row$e': ( 'A_b_vec_c_vec$' * 'C$' * 'A$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_38,type,
'mat$d': 'A$' > 'A_b_vec_b_vec$' ).
tff(func_def_39,type,
'vec_nth$': 'A_c_vec$' > 'C_a_fun$' ).
tff(func_def_40,type,
'mat_row$c': 'A_b_vec$' > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_41,type,
'times$a': 'A_c_vec$' > 'A_c_vec_a_c_vec_fun$' ).
tff(func_def_42,type,
'uya$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_43,type,
'uzl$': $int > 'Int_int_fun$' ).
tff(func_def_44,type,
'uwf$': 'B_a_fun$' ).
tff(func_def_45,type,
'column$b': ( 'B$' * 'A_b_vec_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_46,type,
'uyr$': ( 'A_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_47,type,
'uwu$': 'C_a_c_vec_fun$' ).
tff(func_def_48,type,
'top$d': 'B_a_fun_set$' ).
tff(func_def_49,type,
'mult_column$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' ) > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_50,type,
'one$i': 'A_c_vec_c_vec$' ).
tff(func_def_51,type,
'vec_lambda$e': 'C_a_b_vec_c_vec_fun$' > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_52,type,
'vector_matrix_mult$b': ( 'A_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec$' ).
tff(func_def_53,type,
'uvg$': ( 'A_b_vec_b_vec$' * 'B$' * 'B$' ) > 'B_b_a_fun_fun$' ).
tff(func_def_54,type,
'uzc$': ( 'C$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_55,type,
'mult_row$a': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_56,type,
'columnvector_row$c': 'A_c_vec$' > 'C_a_b_vec_fun$' ).
tff(func_def_57,type,
'uxm$': 'A_c_vec$' > 'C_a_c_vec_fun$' ).
tff(func_def_58,type,
'uvx$': ( 'B_a_c_vec_fun$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_59,type,
'sum$p': ( 'C_a_b_vec_fun_a_fun$' * 'C_a_b_vec_fun_set$' ) > 'A$' ).
tff(func_def_60,type,
'mult_row$c': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' ) > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_61,type,
'scalar_product$': ( 'Int_c_vec$' * 'Int_c_vec$' ) > $int ).
tff(func_def_62,type,
'matrix$': 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_63,type,
'fun_app$f': ( 'C_c_a_fun_fun$' * 'C$' ) > 'C_a_fun$' ).
tff(func_def_64,type,
'fun_app$w': ( 'A_c_vec_a_fun$' * 'A_c_vec$' ) > 'A$' ).
tff(func_def_65,type,
'uxg$': ( 'A_a_fun$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_66,type,
'axis$d': ( 'C$' * 'A_b_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_67,type,
'uvh$': ( 'A_b_vec_b_vec$' * 'B$' * 'B$' ) > 'B_a_b_vec_fun$' ).
tff(func_def_68,type,
'one$g': 'A_c_vec_b_vec$' ).
tff(func_def_69,type,
'fun_app$d': ( 'C_a_b_vec_fun$' * 'C$' ) > 'A_b_vec$' ).
tff(func_def_70,type,
'uyx$': 'A$' > 'C_c_a_fun_fun$' ).
tff(func_def_71,type,
'times$i': ( 'A_b_vec_b_vec$' * 'A_b_vec_b_vec$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_72,type,
'row_add$': ( 'A_b_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_73,type,
'uva$': ( 'A_b_vec_c_vec$' * 'B$' * 'A$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_74,type,
'interchange_columns$e': ( 'A_b_vec_c_vec$' * 'B$' * 'B$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_75,type,
'fun_app$r': ( 'A_a_c_vec_fun$' * 'A$' ) > 'A_c_vec$' ).
tff(func_def_76,type,
'map_matrix$e': ( 'A_a_b_vec_fun$' * 'A_c_vec_c_vec$' ) > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_77,type,
'top$e': 'C_a_b_vec_fun_set$' ).
tff(func_def_78,type,
'sum$o': ( 'A_int_fun$' * 'A_set$' ) > $int ).
tff(func_def_79,type,
'top$a': 'B_set$' ).
tff(func_def_80,type,
'vav$': ( 'B$' * 'A_b_vec_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_81,type,
'uxt$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' * 'C$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_82,type,
'times$': 'A$' > 'A_a_fun$' ).
tff(func_def_83,type,
'insert$': ( 'C$' * 'C_set$' ) > 'C_set$' ).
tff(func_def_84,type,
'vec_nth$f': 'A_b_vec_c_vec_c_vec$' > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_85,type,
'zero$a': 'A_c_vec$' ).
tff(func_def_86,type,
'uxj$': ( 'A_b_vec_a_fun$' * 'A_b_vec_c_vec_c_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_87,type,
'uug$': ( 'Int_c_vec_c_vec$' * 'C$' * $int * 'C$' ) > 'C_int_fun$' ).
tff(func_def_88,type,
'interchange_columns$f': ( 'A_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_89,type,
'matrix_inv$': 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_90,type,
'uzz$': ( 'C$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_91,type,
'vec_nth$b': 'A_b_vec$' > 'B_a_fun$' ).
tff(func_def_92,type,
'uud$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' ) > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_93,type,
'uxd$': ( 'A_a_c_vec_fun$' * 'A_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_94,type,
'plus$d': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_95,type,
'fun_app$p': ( 'B_a_b_vec_fun$' * 'B$' ) > 'A_b_vec$' ).
tff(func_def_96,type,
'a$a': 'C$' ).
tff(func_def_97,type,
'uzp$': ( 'A_b_vec$' * 'A_b_vec$' ) > 'B_a_fun$' ).
tff(func_def_98,type,
'uyh$': ( 'A_b_vec$' * 'A_b_vec_b_vec$' ) > 'B_b_a_fun_fun$' ).
tff(func_def_99,type,
'fun_app$x': ( 'A_b_vec_a_fun$' * 'A_b_vec$' ) > 'A$' ).
tff(func_def_100,type,
'vao$': 'A_c_vec_a_c_vec_fun$' > 'C_a_c_vec_fun$' ).
tff(func_def_101,type,
'collect$': 'C_bool_fun$' > 'C_set$' ).
tff(func_def_102,type,
'uxa$': ( 'C_a_b_vec_fun$' * 'C_set$' ) > 'B_a_fun$' ).
tff(func_def_103,type,
'uup$': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_104,type,
'uyn$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_105,type,
'sum$d': ( 'C_a_b_vec_fun$' * 'C_set$' ) > 'A_b_vec$' ).
tff(func_def_106,type,
'sup$a': ( 'C_bool_fun$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_107,type,
'map_matrix$b': ( 'A_b_vec_a_fun$' * 'A_b_vec_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_108,type,
'uyi$': ( 'A_b_vec$' * 'A_b_vec_b_vec$' ) > 'B_a_fun$' ).
tff(func_def_109,type,
'matrix_matrix_mult$c': 'A_c_vec_c_vec$' > 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_110,type,
'uyg$': 'A_c_vec$' > 'C_a_c_vec_fun$' ).
tff(func_def_111,type,
'times$b': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_112,type,
'vector_matrix_mult$c': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_113,type,
'uyw$': 'A_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_114,type,
'vac$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_115,type,
'bot$b': 'Int_set$' ).
tff(func_def_116,type,
'transpose_row$a': 'A_c_vec_c_vec$' > 'C_a_c_vec_fun$' ).
tff(func_def_117,type,
'uwh$': ( 'C_c_a_fun_fun$' * 'C_set$' ) > 'C_a_fun$' ).
tff(func_def_118,type,
'vec_lambda$c': 'C_int_fun$' > 'Int_c_vec$' ).
tff(func_def_119,type,
'uzt$': ( 'C_a_fun$' * 'C_a_fun$' ) > 'C_a_fun$' ).
tff(func_def_120,type,
'fun_app$az': ( 'C_a_b_vec_bool_fun_fun$' * 'C$' ) > 'A_b_vec_bool_fun$' ).
tff(func_def_121,type,
'invertible$': 'A_c_vec_c_vec_bool_fun$' ).
tff(func_def_122,type,
'mult_column$c': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' ) > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_123,type,
'uvu$': ( 'C_a_b_vec_c_vec_fun$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_124,type,
'mat_row$b': 'A$' > 'B_a_b_vec_fun$' ).
tff(func_def_125,type,
'uyc$': 'A_c_vec_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_126,type,
'column$a': ( 'C$' * 'A_c_vec_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_127,type,
'mat$c': $int > 'Int_c_vec_c_vec$' ).
tff(func_def_128,type,
'fun_app$av': ( 'C_a_bool_fun_fun$' * 'C$' ) > 'A_bool_fun$' ).
tff(func_def_129,type,
'sum$e': ( 'C_a_c_vec_c_vec_fun$' * 'C_set$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_130,type,
'uvb$': ( 'A_b_vec_c_vec$' * 'B$' * 'A$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_131,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_132,type,
'vector_matrix_mult$a': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_133,type,
'uwv$': 'C_a_fun$' ).
tff(func_def_134,type,
'uu$': 'C_c_a_fun_fun$' ).
tff(func_def_135,type,
'uvo$': ( 'A_b_vec_c_vec$' * 'B$' * 'B$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_136,type,
'bot$': 'C_set$' ).
tff(func_def_137,type,
'uys$': ( 'A_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_138,type,
'times$d': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_139,type,
'axis$c': 'B$' > 'A_a_b_vec_fun$' ).
tff(func_def_140,type,
'scalar_product$d': 'A_c_vec$' > 'A_c_vec_a_fun$' ).
tff(func_def_141,type,
'uxy$': ( 'A_b_vec_c_vec$' * 'C$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_142,type,
'vaq$': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_143,type,
'bot$a': 'A_set$' ).
tff(func_def_144,type,
'uyu$': ( 'C$' * 'A$' ) > 'C_a_fun$' ).
tff(func_def_145,type,
'row$a': ( 'C$' * 'A_c_vec_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_146,type,
'bot$d': 'Nat$' ).
tff(func_def_147,type,
'uwb$': 'C_a_c_vec_fun$' ).
tff(func_def_148,type,
'uxf$': ( 'A_a_fun$' * 'A_c_vec_c_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_149,type,
'matrix_matrix_mult$': ( 'A_b_vec_c_vec$' * 'A_b_vec_b_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_150,type,
'uvp$': ( 'A_b_vec_c_vec$' * 'B$' ) > 'B_c_a_b_vec_fun_fun$' ).
tff(func_def_151,type,
'uws$': ( 'C_a_fun$' * 'A$' ) > 'C_a_fun$' ).
tff(func_def_152,type,
'one$': 'A$' ).
tff(func_def_153,type,
'axis$b': 'C$' > 'A_a_c_vec_fun$' ).
tff(func_def_154,type,
'one$h': 'A_b_vec_b_vec$' ).
tff(func_def_155,type,
'fun_app$ba': ( 'C_set_c_set_fun$' * 'C_set$' ) > 'C_set$' ).
tff(func_def_156,type,
'uvs$': ( 'C_a_c_vec_c_vec_fun$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_157,type,
'sum$i': ( 'C_int_c_vec_fun$' * 'C_set$' ) > 'Int_c_vec$' ).
tff(func_def_158,type,
'uzn$': ( 'C_set$' * 'C_set$' ) > 'C_bool_fun$' ).
tff(func_def_159,type,
'fun_app$h': ( 'C_int_c_vec_fun$' * 'C$' ) > 'Int_c_vec$' ).
tff(func_def_160,type,
'uuv$': ( 'Int_c_vec_c_vec$' * 'C$' * $int ) > 'C_int_c_vec_fun$' ).
tff(func_def_161,type,
'mult_row$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' ) > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_162,type,
'fun_app$ai': ( 'C_a_fun_b_fun$' * 'C_a_fun$' ) > 'B$' ).
tff(func_def_163,type,
'transpose_row$': 'A_c_vec_c_vec_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_164,type,
'uur$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' ) > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_165,type,
'one$a': 'A_c_vec$' ).
tff(func_def_166,type,
'uvf$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_167,type,
'fun_app$ae': ( 'B_c_fun$' * 'B$' ) > 'C$' ).
tff(func_def_168,type,
'vap$': ( 'A_b_vec_c_vec$' * 'A_b_vec_b_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_169,type,
'one$d': 'A_b_vec_c_vec$' ).
tff(func_def_170,type,
'uuw$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_171,type,
'uza$': ( 'C$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_172,type,
'uxe$': ( 'A_a_c_vec_fun$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_173,type,
'mat$a': 'A_c_vec$' > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_174,type,
'top$c': 'C_a_c_vec_fun_set$' ).
tff(func_def_175,type,
'fun_app$l': ( 'C_a_c_vec_c_vec_fun$' * 'C$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_176,type,
'plus$': 'A_c_vec$' > 'A_c_vec_a_c_vec_fun$' ).
tff(func_def_177,type,
'vector_matrix_mult$e': ( 'A_c_vec$' * 'A_c_vec_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_178,type,
'transpose_row$c': 'A_c_vec_b_vec$' > 'C_a_b_vec_fun$' ).
tff(func_def_179,type,
'uxp$': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' * 'C$' ) > 'B_c_a_fun_fun$' ).
tff(func_def_180,type,
'fun_app$aw': ( 'C_a_c_vec_bool_fun_fun$' * 'C$' ) > 'A_c_vec_bool_fun$' ).
tff(func_def_181,type,
'uxb$': ( 'C_a_c_vec_fun$' * 'C_set$' ) > 'C_a_fun$' ).
tff(func_def_182,type,
'sum$c': ( 'C_a_c_vec_fun$' * 'C_set$' ) > 'A_c_vec$' ).
tff(func_def_183,type,
'uwt$': ( 'A$' * 'C_a_fun$' ) > 'C_a_fun$' ).
tff(func_def_184,type,
'zero$j': 'A_c_vec_c_vec$' ).
tff(func_def_185,type,
'fun_app$': ( 'C_a_fun$' * 'C$' ) > 'A$' ).
tff(func_def_186,type,
tltrue: tlbool ).
tff(func_def_187,type,
'fun_app$ak': ( 'B_a_fun_b_fun$' * 'B_a_fun$' ) > 'B$' ).
tff(func_def_188,type,
'top$': 'C_set$' ).
tff(func_def_189,type,
'zero$k': 'A_set$' ).
tff(func_def_190,type,
'vad$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_191,type,
'sum$n': ( 'A_nat_fun$' * 'A_set$' ) > 'Nat$' ).
tff(func_def_192,type,
'vec_lambda$b': 'B_a_fun$' > 'A_b_vec$' ).
tff(func_def_193,type,
'sum$k': ( 'B_a_b_vec_fun$' * 'B_set$' ) > 'A_b_vec$' ).
tff(func_def_194,type,
'fun_app$ab': ( 'A_nat_fun$' * 'A$' ) > 'Nat$' ).
tff(func_def_195,type,
'vab$': ( 'A_b_vec_c_vec$' * 'B$' * 'B$' * 'A$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_196,type,
'uwj$': ( 'C_c_a_fun_fun$' * 'C_set$' ) > 'C_a_fun$' ).
tff(func_def_197,type,
'vector_scalar_mult$c': ( 'A$' * 'A_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_198,type,
'vec_lambda$f': 'B_a_b_vec_fun$' > 'A_b_vec_b_vec$' ).
tff(func_def_199,type,
'mat_mult_row$c': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_200,type,
'fun_app$bc': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_201,type,
'uzb$': 'B$' > 'B_b_a_fun_fun$' ).
tff(func_def_202,type,
'transpose_row$b': 'A_b_vec_c_vec$' > 'B_a_c_vec_fun$' ).
tff(func_def_203,type,
'uxh$': ( 'A_c_vec_a_fun$' * 'A_c_vec_c_vec_c_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_204,type,
'uxo$': ( 'A_b_vec_c_vec$' * 'A_b_vec_b_vec$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_205,type,
'uvq$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_206,type,
'uwk$': 'A_a_fun$' ).
tff(func_def_207,type,
'times$h': ( 'A_c_vec_b_vec$' * 'A_c_vec_b_vec$' ) > 'A_c_vec_b_vec$' ).
tff(func_def_208,type,
'zero$l': 'Int_set$' ).
tff(func_def_209,type,
'columnvector$b': 'A_c_vec$' > 'A_c_vec_c_vec$' ).
tff(func_def_210,type,
'columnvector$a': 'A_b_vec$' > 'A_c_vec_b_vec$' ).
tff(func_def_211,type,
'uum$': ( 'A_b_vec_c_vec$' * 'C$' * 'A$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_212,type,
'uub$': 'C_a_fun$' ).
tff(func_def_213,type,
'interchange_rows$': ( 'A_b_vec_c_vec$' * 'C$' ) > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_214,type,
'vec_lambda$i': 'B_a_c_vec_fun$' > 'A_c_vec_b_vec$' ).
tff(func_def_215,type,
'interchange_columns$c': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'C$' ) > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_216,type,
'uzx$': ( 'C$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_217,type,
'uui$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_218,type,
'uwr$': ( 'C_a_fun$' * 'C_a_fun$' * 'C_set$' ) > 'C_a_fun$' ).
tff(func_def_219,type,
'interchange_columns$b': ( 'Int_c_vec_c_vec$' * 'C$' * 'C$' ) > 'Int_c_vec_c_vec$' ).
tff(func_def_220,type,
'one$f': 'Int_c_vec$' ).
tff(func_def_221,type,
'vag$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_222,type,
'uuq$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_223,type,
'sum$q': ( 'C_a_fun_a_fun$' * 'C_a_fun_set$' ) > 'A$' ).
tff(func_def_224,type,
'uzi$': 'C$' > 'C_bool_fun$' ).
tff(func_def_225,type,
'uuf$': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'B_a_b_vec_fun$' ).
tff(func_def_226,type,
'mult_row$f': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_227,type,
'insert$b': ( $int * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_228,type,
'mat_row$a': 'A$' > 'C_a_c_vec_fun$' ).
tff(func_def_229,type,
'sum$f': ( 'C_a_c_vec_b_vec_fun$' * 'C_set$' ) > 'A_c_vec_b_vec$' ).
tff(func_def_230,type,
'uxi$': ( 'A_c_vec_a_fun$' * 'A_c_vec_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_231,type,
'interchange_rows$a': ( 'A_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_232,type,
'fun_app$ad': ( 'A_b_fun$' * 'A$' ) > 'B$' ).
tff(func_def_233,type,
'uun$': ( 'A_b_vec_c_vec$' * 'C$' * 'A$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_234,type,
'vaf$': ( 'A_b_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_235,type,
'vat$': ( 'C$' * 'A_c_vec_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_236,type,
'times$g': ( 'Int_c_vec$' * 'Int_c_vec$' ) > 'Int_c_vec$' ).
tff(func_def_237,type,
'rowvector$': 'A_c_vec$' > 'A_c_vec_c_vec$' ).
tff(func_def_238,type,
'uvl$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_239,type,
'mult_row$b': ( 'Int_c_vec_c_vec$' * 'C$' * $int ) > 'Int_c_vec_c_vec$' ).
tff(func_def_240,type,
'zero$d': 'A_b_vec_c_vec$' ).
tff(func_def_241,type,
'uxu$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_242,type,
'uvc$': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_243,type,
'uyf$': 'A_c_vec$' > 'C_c_a_fun_fun$' ).
tff(func_def_244,type,
'uuj$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_245,type,
'vec_nth$a': 'A_c_vec_c_vec$' > 'C_a_c_vec_fun$' ).
tff(func_def_246,type,
'uwg$': 'C_a_fun$' ).
tff(func_def_247,type,
'uzk$': tlbool > 'C_bool_fun$' ).
tff(func_def_248,type,
'vector_scalar_mult$b': 'A_c_vec$' > 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_249,type,
'vay$': ( 'A_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_250,type,
'uul$': ( 'A_c_vec_b_vec$' * 'B$' * 'A$' ) > 'B_a_c_vec_fun$' ).
tff(func_def_251,type,
'uue$': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'B_b_a_fun_fun$' ).
tff(func_def_252,type,
'mult_column$e': ( 'A_b_vec_c_vec$' * 'B$' * 'A$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_253,type,
'sum$m': ( 'A_a_fun$' * 'A_set$' ) > 'A$' ).
tff(func_def_254,type,
'mult_column$b': ( 'Int_c_vec_c_vec$' * 'C$' * $int ) > 'Int_c_vec_c_vec$' ).
tff(func_def_255,type,
'vector_matrix_mult$': ( 'A_b_vec$' * 'A_b_vec_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_256,type,
'vaj$': ( 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_257,type,
'vaa$': ( 'A_b_vec_c_vec$' * 'B$' * 'B$' * 'A$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_258,type,
'matrix_matrix_mult$a': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_259,type,
'vaz$': ( 'A$' * 'A_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_260,type,
'sum$r': ( 'B_a_fun_a_fun$' * 'B_a_fun_set$' ) > 'A$' ).
tff(func_def_261,type,
'uyt$': ( 'C$' * 'A_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_262,type,
'uyz$': ( 'C$' * 'C$' ) > 'C_int_fun$' ).
tff(func_def_263,type,
'fun_app$v': ( 'C_a_b_vec_b_vec_fun$' * 'C$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_264,type,
'axis$a': ( 'C$' * 'A_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_265,type,
'uvd$': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_266,type,
'columnvector_row$b': 'A_b_vec$' > 'B_a_c_vec_fun$' ).
tff(func_def_267,type,
'vec_lambda$a': 'C_a_fun$' > 'A_c_vec$' ).
tff(func_def_268,type,
'scalar_product$c': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec$' ).
tff(func_def_269,type,
'uuk$': ( 'A_c_vec_b_vec$' * 'B$' * 'A$' ) > 'B_c_a_fun_fun$' ).
tff(func_def_270,type,
'fun_app$g': ( 'C_int_fun$' * 'C$' ) > $int ).
tff(func_def_271,type,
'uyy$': 'A$' > 'C_a_c_vec_fun$' ).
tff(func_def_272,type,
'vec_nth$h': 'A_b_vec_b_vec$' > 'B_a_b_vec_fun$' ).
tff(func_def_273,type,
'fun_app$m': ( 'B_b_a_fun_fun$' * 'B$' ) > 'B_a_fun$' ).
tff(func_def_274,type,
'fun_app$c': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(func_def_275,type,
'matrix$b': 'A_c_vec_a_c_vec_fun$' > 'A_c_vec_c_vec$' ).
tff(func_def_276,type,
'one$j': 'A_set$' ).
tff(func_def_277,type,
'uvv$': 'C_a_b_vec_b_vec_fun$' > 'B_c_a_b_vec_fun_fun$' ).
tff(func_def_278,type,
'uvk$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'C$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_279,type,
'vector_matrix_mult$d': ( 'A_b_vec$' * 'A_c_vec_b_vec$' ) > 'A_c_vec$' ).
tff(func_def_280,type,
'the_elem$': 'C_set$' > 'C$' ).
tff(func_def_281,type,
'columnvector_row$d': 'A_b_vec$' > 'B_a_b_vec_fun$' ).
tff(func_def_282,type,
'uus$': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'B_b_a_fun_fun$' ).
tff(func_def_283,type,
'zero$f': 'Int_c_vec_c_vec$' ).
tff(func_def_284,type,
'fun_app$ah': ( 'C_a_b_vec_fun_a_fun$' * 'C_a_b_vec_fun$' ) > 'A$' ).
tff(func_def_285,type,
'mult_column$a': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_286,type,
'uwq$': ( 'C_a_fun$' * 'C_a_fun$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_287,type,
'uwy$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_288,type,
'fun_app$k': ( 'B_c_a_fun_fun$' * 'B$' ) > 'C_a_fun$' ).
tff(func_def_289,type,
'vec_nth$d': 'Int_c_vec$' > 'C_int_fun$' ).
tff(func_def_290,type,
'interchange_columns$d': ( 'A_c_vec_b_vec$' * 'C$' ) > 'C_a_c_vec_b_vec_fun$' ).
tff(func_def_291,type,
'fun_app$j': ( 'B_a_c_vec_fun$' * 'B$' ) > 'A_c_vec$' ).
tff(func_def_292,type,
'column_add$a': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_293,type,
'column_add$': ( 'A_b_vec_c_vec$' * 'B$' * 'B$' * 'A$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_294,type,
'one$b': 'A_b_vec$' ).
tff(func_def_295,type,
'uwl$': 'Int_int_fun$' ).
tff(func_def_296,type,
'zero$e': 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_297,type,
'fun_app$ag': ( 'C_a_b_vec_fun_b_fun$' * 'C_a_b_vec_fun$' ) > 'B$' ).
tff(func_def_298,type,
'uwo$': 'Int_int_fun$' ).
tff(func_def_299,type,
'one$e': 'Int_c_vec_c_vec$' ).
tff(func_def_300,type,
'mat_row$': 'A_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_301,type,
'q$': 'A$' ).
tff(func_def_302,type,
'uxz$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_303,type,
'sup$': 'C_set$' > 'C_set_c_set_fun$' ).
tff(func_def_304,type,
'mat_mult_row$': ( 'A_b_vec_c_vec$' * 'A_b_vec_b_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_305,type,
'fun_app$e': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_306,type,
'uuu$': ( 'Int_c_vec_c_vec$' * 'C$' * $int * 'C$' ) > 'C_int_fun$' ).
tff(func_def_307,type,
'times$c': ( $int * $int ) > $int ).
tff(func_def_308,type,
'uxc$': ( 'Int_c_vec$' * 'Int_c_vec$' ) > 'C_int_fun$' ).
tff(func_def_309,type,
'vba$': 'Int_c_vec$' > 'C_int_c_vec_fun$' ).
tff(func_def_310,type,
'uvm$': ( 'A_c_vec_b_vec$' * 'C$' * 'C$' ) > 'B_c_a_fun_fun$' ).
tff(func_def_311,type,
'plus$a': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_312,type,
'uzq$': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_313,type,
'uyb$': ( 'A_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_314,type,
'sum$a': ( 'C_a_fun$' * 'C_set$' ) > 'A$' ).
tff(func_def_315,type,
'vec_lambda$d': 'C_a_b_vec_fun$' > 'A_b_vec_c_vec$' ).
tff(func_def_316,type,
'vec_nth$e': 'A_c_vec_c_vec_c_vec$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_317,type,
'uze$': 'C_a_fun$' ).
tff(func_def_318,type,
'interchange_columns$a': ( 'A_b_vec_b_vec$' * 'B$' * 'B$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_319,type,
'uuy$': ( 'A_c_vec_b_vec$' * 'C$' * 'A$' ) > 'B_c_a_fun_fun$' ).
tff(func_def_320,type,
'uzo$': ( 'C_bool_fun$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_321,type,
'uzf$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_322,type,
'transpose_row$d': 'A_b_vec_b_vec$' > 'B_a_b_vec_fun$' ).
tff(func_def_323,type,
'uvw$': ( 'C_int_c_vec_fun$' * 'C$' ) > 'C_int_fun$' ).
tff(func_def_324,type,
'minus$': 'C_set$' > 'C_set_c_set_fun$' ).
tff(func_def_325,type,
'times$e': ( 'A_b_vec_c_vec_c_vec$' * 'A_b_vec_c_vec_c_vec$' ) > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_326,type,
'sum$g': ( 'C_a_b_vec_c_vec_fun$' * 'C_set$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_327,type,
'zero$b': 'A_b_vec$' ).
tff(func_def_328,type,
'map_matrix$': 'A_a_fun$' > 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_329,type,
'map_matrix$a': ( 'A_c_vec_a_fun$' * 'A_c_vec_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_330,type,
'columnvector_row$e': 'A_b_vec_c_vec$' > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_331,type,
'zero$': 'A$' ).
tff(func_def_332,type,
'uzr$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_333,type,
'plus$b': 'A$' > 'A_a_fun$' ).
tff(func_def_334,type,
'vas$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_335,type,
'scalar_product$b': 'A_b_vec$' > 'A_b_vec_a_fun$' ).
tff(func_def_336,type,
'vak$': 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_337,type,
'uwe$': 'C_int_fun$' ).
tff(func_def_338,type,
'interchange_columns$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'C$' ) > 'A_b_vec_c_vec_c_vec$' ).
tff(func_def_339,type,
'times$j': 'A_c_vec_c_vec$' > 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_340,type,
'axis$': ( 'C$' * $int ) > 'Int_c_vec$' ).
tff(func_def_341,type,
'times$l': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_342,type,
'fun_app$a': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_343,type,
tlfalse: tlbool ).
tff(func_def_344,type,
'uvt$': ( 'C_a_c_vec_b_vec_fun$' * 'B$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_345,type,
'matrix_matrix_mult$b': ( 'A_b_vec_c_vec$' * 'A_c_vec_b_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_346,type,
'nat$': $int > 'Nat$' ).
tff(func_def_347,type,
'vai$': 'C_set$' > 'C_bool_fun$' ).
tff(func_def_348,type,
'val$': 'A_c_vec_a_b_vec_fun$' > 'B_c_a_fun_fun$' ).
tff(func_def_349,type,
'uux$': ( 'A_c_vec_c_vec_c_vec$' * 'C$' * 'A_c_vec$' ) > 'C_a_c_vec_c_vec_fun$' ).
tff(func_def_350,type,
'sum$b': ( 'B_a_fun$' * 'B_set$' ) > 'A$' ).
tff(func_def_351,type,
'uyv$': ( 'A_c_vec$' * 'C$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_352,type,
'uvy$': 'B_a_b_vec_fun$' > 'B_b_a_fun_fun$' ).
tff(func_def_353,type,
'uwn$': 'A_a_fun$' ).
tff(func_def_354,type,
'uyj$': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec_c_vec$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_355,type,
'vec_nth$g': 'Int_c_vec_c_vec$' > 'C_int_c_vec_fun$' ).
tff(func_def_356,type,
'ia$': 'B$' ).
tff(func_def_357,type,
'uxw$': 'Int_c_vec$' > 'C_int_fun$' ).
tff(func_def_358,type,
'uut$': ( 'A_b_vec_b_vec$' * 'B$' * 'A$' ) > 'B_a_b_vec_fun$' ).
tff(func_def_359,type,
'vau$': ( 'C$' * 'A_c_vec_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_360,type,
'plus$c': 'A_c_vec_c_vec$' > 'A_c_vec_c_vec_a_c_vec_c_vec_fun$' ).
tff(func_def_361,type,
'uzd$': 'C$' > 'C_c_a_fun_fun$' ).
tff(func_def_362,type,
'bot$c': 'C_bool_fun$' ).
tff(func_def_363,type,
'mult_column$f': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_364,type,
'fun_app$aj': ( 'C_a_fun_a_fun$' * 'C_a_fun$' ) > 'A$' ).
tff(func_def_365,type,
'fun_app$am': ( 'B_b_fun$' * 'B$' ) > 'B$' ).
tff(func_def_366,type,
'uww$': ( 'A_b_vec$' * 'A_b_vec$' ) > 'B_a_fun$' ).
tff(func_def_367,type,
'row_add$a': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_368,type,
'uwa$': 'C_a_b_vec_fun$' > 'B_c_a_fun_fun$' ).
tff(func_def_369,type,
'sum$j': ( 'B_a_c_vec_fun$' * 'B_set$' ) > 'A_c_vec$' ).
tff(func_def_370,type,
'fun_app$o': ( 'C_a_b_vec_c_vec_fun$' * 'C$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_371,type,
'uyk$': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec_c_vec$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_372,type,
'row$': ( 'C$' * 'A_b_vec_c_vec$' ) > 'A_b_vec$' ).
tff(func_def_373,type,
'fun_app$af': ( 'C_b_fun$' * 'C$' ) > 'B$' ).
tff(func_def_374,type,
'times$f': ( 'Int_c_vec_c_vec$' * 'Int_c_vec_c_vec$' ) > 'Int_c_vec_c_vec$' ).
tff(func_def_375,type,
'uzs$': ( 'A_c_vec$' * 'A_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_376,type,
'uyo$': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_377,type,
'uzh$': 'A_b_vec_c_vec$' > 'B_c_a_fun_fun$' ).
tff(func_def_378,type,
'uua$': 'C_a_c_vec_fun$' ).
tff(func_def_379,type,
'uzg$': 'A_c_vec_c_vec$' > 'C_c_a_fun_fun$' ).
tff(func_def_380,type,
'vec_lambda$g': 'C_int_c_vec_fun$' > 'Int_c_vec_c_vec$' ).
tff(func_def_381,type,
'vec_nth$i': 'A_c_vec_b_vec$' > 'B_a_c_vec_fun$' ).
tff(func_def_382,type,
'uxx$': ( 'A_b_vec_c_vec$' * 'C$' * 'C$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_383,type,
'uxn$': ( 'A_b_vec_c_vec$' * 'A_b_vec_b_vec$' * 'C$' ) > 'B_b_a_fun_fun$' ).
tff(func_def_384,type,
'uxv$': ( 'Int_c_vec$' * 'C$' ) > 'C_int_fun$' ).
tff(func_def_385,type,
'uwp$': 'Int_int_fun$' ).
tff(func_def_386,type,
'top$f': 'C_bool_fun$' ).
tff(func_def_387,type,
'uym$': ( 'A_c_vec$' * 'A_b_vec_c_vec$' ) > 'B_a_fun$' ).
tff(func_def_388,type,
'uwi$': 'C_c_a_fun_fun$' > 'C_c_a_fun_fun$' ).
tff(func_def_389,type,
'fun_app$al': ( 'B_a_fun_a_fun$' * 'B_a_fun$' ) > 'A$' ).
tff(func_def_390,type,
'vaw$': ( 'A$' * 'A_b_vec$' ) > 'B_a_fun$' ).
tff(func_def_391,type,
'mat_mult_row$b': ( 'A_b_vec_c_vec$' * 'A_c_vec_b_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_392,type,
'transpose_row$e': 'A_b_vec_c_vec_c_vec$' > 'C_a_b_vec_c_vec_fun$' ).
tff(func_def_393,type,
'map_matrix$c': ( 'A_a_c_vec_fun$' * 'A_c_vec_c_vec$' ) > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_394,type,
'uyp$': ( 'A_b_vec$' * 'A_c_vec_b_vec$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_395,type,
'uwd$': 'C_nat_fun$' ).
tff(func_def_396,type,
'fun_app$b': ( 'C_a_c_vec_fun$' * 'C$' ) > 'A_c_vec$' ).
tff(func_def_397,type,
'zero$h': 'A_c_vec_b_vec$' ).
tff(func_def_398,type,
'top$b': 'C_a_fun_set$' ).
tff(func_def_399,type,
'fun_app$n': ( 'A_c_vec_a_c_vec_fun$' * 'A_c_vec$' ) > 'A_c_vec$' ).
tff(func_def_400,type,
'uzv$': 'C_bool_fun$' ).
tff(func_def_401,type,
'uxl$': 'C_a_fun$' ).
tff(func_def_402,type,
'uwz$': ( 'A_c_vec$' * 'A_c_vec$' ) > 'C_a_fun$' ).
tff(func_def_403,type,
'plus$e': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_404,type,
'vec_lambda$h': 'C_a_c_vec_c_vec_fun$' > 'A_c_vec_c_vec_c_vec$' ).
tff(func_def_405,type,
'fun_app$z': ( 'C_c_fun$' * 'C$' ) > 'C$' ).
tff(func_def_406,type,
'uuh$': ( 'Int_c_vec_c_vec$' * 'C$' * $int ) > 'C_int_c_vec_fun$' ).
tff(func_def_407,type,
'vam$': 'A_c_vec_a_b_vec_fun$' > 'B_a_c_vec_fun$' ).
tff(func_def_408,type,
'vec_lambda$': 'C_a_c_vec_fun$' > 'A_c_vec_c_vec$' ).
tff(func_def_409,type,
'uvz$': 'C_a_c_vec_fun$' > 'C_c_a_fun_fun$' ).
tff(func_def_410,type,
'mult_column$d': ( 'A_c_vec_b_vec$' * 'C$' * 'A$' ) > 'A_c_vec_b_vec$' ).
tff(func_def_411,type,
'sum$l': ( 'C_nat_fun$' * 'C_set$' ) > 'Nat$' ).
tff(func_def_412,type,
'zero$i': 'A_b_vec_b_vec$' ).
tff(func_def_413,type,
'uzy$': ( 'C$' * 'C_bool_fun$' ) > 'C_bool_fun$' ).
tff(func_def_414,type,
'vector_scalar_mult$': ( $int * 'Int_c_vec$' ) > 'Int_c_vec$' ).
tff(func_def_415,type,
'uuc$': ( 'A_b_vec_c_vec_c_vec$' * 'C$' * 'A_b_vec$' * 'C$' ) > 'C_a_b_vec_fun$' ).
tff(func_def_416,type,
'var$': ( 'A_b_vec_c_vec$' * 'A_c_vec_b_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_417,type,
'column$': ( 'C$' * 'A_c_vec_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_418,type,
'i$': 'C$' ).
tff(func_def_419,type,
'a$': 'A_b_vec_c_vec$' ).
tff(func_def_420,type,
'matrix$a': 'A_c_vec_a_b_vec_fun$' > 'A_c_vec_b_vec$' ).
tff(func_def_421,type,
'uzu$': 'C_bool_fun$' ).
tff(func_def_422,type,
'vah$': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' * 'A$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_423,type,
'uxk$': ( 'A_b_vec_a_fun$' * 'A_b_vec_c_vec_c_vec$' ) > 'C_a_c_vec_fun$' ).
tff(func_def_424,type,
'map_matrix$d': ( 'A_a_fun$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_425,type,
'vector_scalar_mult$a': 'A$' > 'A_c_vec_a_c_vec_fun$' ).
tff(func_def_426,type,
'uuo$': ( 'A_c_vec_c_vec$' * 'C$' * 'A$' ) > 'C_c_a_fun_fun$' ).
tff(func_def_427,type,
'uvi$': ( 'Int_c_vec_c_vec$' * 'C$' * 'C$' * 'C$' ) > 'C_int_fun$' ).
tff(func_def_428,type,
'fun_app$an': ( 'A_a_b_vec_fun$' * 'A$' ) > 'A_b_vec$' ).
tff(func_def_429,type,
'fun_app$ac': ( 'A_int_fun$' * 'A$' ) > $int ).
tff(func_def_430,type,
'zero$c': 'Nat$' ).
tff(func_def_431,type,
'sum$h': ( 'C_a_b_vec_b_vec_fun$' * 'C_set$' ) > 'A_b_vec_b_vec$' ).
tff(func_def_432,type,
'fun_app$t': ( 'C_a_c_vec_b_vec_fun$' * 'C$' ) > 'A_c_vec_b_vec$' ).
tff(func_def_433,type,
'fun_app$ax': ( 'B_a_bool_fun_fun$' * 'B$' ) > 'A_bool_fun$' ).
tff(func_def_434,type,
'uuz$': ( 'A_c_vec_b_vec$' * 'C$' * 'A$' ) > 'B_a_c_vec_fun$' ).
tff(func_def_435,type,
'fun_app$s': ( 'A_c_vec_a_b_vec_fun$' * 'A_c_vec$' ) > 'A_b_vec$' ).
tff(func_def_436,type,
'uxr$': ( 'A_b_vec_c_vec$' * 'A_c_vec_b_vec$' * 'C$' * 'C$' ) > 'B_a_fun$' ).
tff(func_def_437,type,
'van$': 'A_c_vec_a_c_vec_fun$' > 'C_c_a_fun_fun$' ).
tff(func_def_438,type,
'uyl$': ( 'A_c_vec$' * 'A_b_vec_c_vec$' ) > 'B_c_a_fun_fun$' ).
tff(func_def_439,type,
'sum$': ( 'C_int_fun$' * 'C_set$' ) > $int ).
tff(func_def_440,type,
'zero$g': 'Int_c_vec$' ).
tff(func_def_447,type,
sK4: ( 'C$' * 'C_set$' ) > 'C_set$' ).
tff(func_def_448,type,
sK5: 'C_set$' > 'C$' ).
tff(func_def_449,type,
sK6: ( 'C_a_fun$' * 'C_a_fun$' ) > 'C$' ).
tff(func_def_450,type,
sK7: 'C_set$' > 'C$' ).
tff(func_def_451,type,
sK8: ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C$' ).
tff(func_def_452,type,
sK9: ( 'C_a_c_vec_fun$' * 'C_a_c_vec_fun$' ) > 'C$' ).
tff(func_def_453,type,
sK10: ( 'C_set$' * 'C_set$' * 'C$' * 'C$' ) > 'C_set$' ).
tff(func_def_454,type,
sK11: ( 'C_a_fun$' * 'C_a_fun$' * 'C_set$' ) > 'C$' ).
tff(func_def_455,type,
sK12: ( 'A_c_vec$' * 'A_c_vec$' ) > 'C$' ).
tff(func_def_456,type,
sK13: ( 'C_set$' * 'C_a_fun$' ) > 'C$' ).
tff(func_def_457,type,
sK14: ( 'A_b_vec$' * 'A_b_vec$' ) > 'B$' ).
tff(func_def_458,type,
sK15: ( 'A_c_vec$' * 'C_a_fun$' ) > 'C$' ).
tff(func_def_459,type,
sK16: ( 'C_a_fun$' * 'C_set$' * 'C_a_fun$' ) > 'C$' ).
tff(func_def_460,type,
sK17: ( 'C_a_c_vec_fun$' * 'A_c_vec_c_vec$' ) > 'C$' ).
tff(func_def_461,type,
sK18: ( 'C_a_fun$' * 'C_set$' ) > 'C$' ).
tff(func_def_462,type,
sK19: 'C$' ).
tff(func_def_463,type,
sK20: 'C_set$' > 'C$' ).
tff(func_def_464,type,
sK21: ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'C$' ).
tff(func_def_465,type,
sK22: ( 'C_set$' * 'C$' ) > 'C_set$' ).
tff(func_def_466,type,
sK23: 'C_set$' > 'C$' ).
tff(pred_def_1,type,
'fun_app$ap': ( 'C_a_c_vec_fun_bool_fun$' * 'C_a_c_vec_fun$' ) > $o ).
tff(pred_def_2,type,
'fun_app$as': ( 'A_c_vec_c_vec_bool_fun$' * 'A_c_vec_c_vec$' ) > $o ).
tff(pred_def_3,type,
'member$c': ( 'C_a_b_vec_fun$' * 'C_a_b_vec_fun_set$' ) > $o ).
tff(pred_def_4,type,
'member$': ( 'C$' * 'C_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$ar': ( 'C_a_b_vec_fun_bool_fun$' * 'C_a_b_vec_fun$' ) > $o ).
tff(pred_def_6,type,
'member$g': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_7,type,
'fun_app$i': ( 'C_bool_fun$' * 'C$' ) > $o ).
tff(pred_def_8,type,
'member$b': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_9,type,
'member$e': ( 'B_a_fun$' * 'B_a_fun_set$' ) > $o ).
tff(pred_def_10,type,
'fun_app$aq': ( 'B_a_fun_bool_fun$' * 'B_a_fun$' ) > $o ).
tff(pred_def_11,type,
'fun_app$at': ( 'A_c_vec_bool_fun$' * 'A_c_vec$' ) > $o ).
tff(pred_def_12,type,
'member$f': ( 'C_a_c_vec_fun$' * 'C_a_c_vec_fun_set$' ) > $o ).
tff(pred_def_13,type,
'member$a': ( 'B$' * 'B_set$' ) > $o ).
tff(pred_def_14,type,
'member$d': ( 'C_a_fun$' * 'C_a_fun_set$' ) > $o ).
tff(pred_def_15,type,
'fun_app$ay': ( 'A_b_vec_bool_fun$' * 'A_b_vec$' ) > $o ).
tff(pred_def_16,type,
'less_eq$': ( 'C_set$' * 'C_set$' ) > $o ).
tff(pred_def_17,type,
'is_singleton$': 'C_set$' > $o ).
tff(pred_def_18,type,
'fun_app$au': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_19,type,
'fun_app$ao': ( 'C_a_fun_bool_fun$' * 'C_a_fun$' ) > $o ).
tff(pred_def_20,type,
'fun_app$bb': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_23,type,
sP0: ( 'C_set$' * 'C$' * 'C_set$' ) > $o ).
tff(pred_def_24,type,
sP1: ( 'C_set$' * 'C_set$' * 'C$' * 'C$' ) > $o ).
tff(pred_def_25,type,
sP2: ( 'C$' * 'C$' * 'C_set$' * 'C_set$' ) > $o ).
tff(pred_def_26,type,
sP3: ( 'C_set$' * 'C_set$' * 'C$' ) > $o ).
tff(f1,axiom,
! [X0: 'C$'] : ( 'fun_app$'('uub$',X0) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('vec_lambda$'('uua$')),'i$')),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom0) ).
tff(f2,axiom,
! [X0: 'C$'] : ( 'fun_app$'('uze$',X0) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),'i$')),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
tff(f6,axiom,
! [X0: 'C$'] : ( 'fun_app$b'('uua$',X0) = 'vec_lambda$a'('fun_app$f'('uu$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).
tff(f7,axiom,
! [X1: 'C$',X0: 'C$'] :
( ( ( X0 = X1 )
=> ( 'fun_app$'('fun_app$f'('uu$',X0),X1) = 'one$' ) )
& ( ( X0 != X1 )
=> ( 'fun_app$'('fun_app$f'('uu$',X0),X1) = 'zero$' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom6) ).
tff(f185,conjecture,
'sum$a'('uub$','top$') = 'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture184) ).
tff(f186,negated_conjecture,
( ( ~ 'sum$a'('uub$','top$') ) = 'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$') ),
inference(negated_conjecture,[status(cth)],[f185]) ).
tff(f246,axiom,
! [X1: 'C$',X0: 'C_a_c_vec_fun$'] : ( 'fun_app$b'('vec_nth$a'('vec_lambda$'(X0)),X1) = 'fun_app$b'(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom244) ).
tff(f247,axiom,
! [X1: 'C$',X0: 'C_a_fun$'] : ( 'fun_app$'('vec_nth$'('vec_lambda$a'(X0)),X1) = 'fun_app$'(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom245) ).
tff(f259,axiom,
! [X0: 'A$'] : ( 'fun_app$a'('times$'('zero$'),X0) = 'zero$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom257) ).
tff(f293,axiom,
! [X0: 'C_set$',X2: 'C_a_fun$',X1: 'C_a_fun$'] :
( ! [X3: 'C$'] :
( 'member$'(X3,X0)
=> ( 'fun_app$'(X1,X3) = 'fun_app$'(X2,X3) ) )
=> ( 'sum$a'(X1,X0) = 'sum$a'(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom291) ).
tff(f376,axiom,
! [X0: 'A$'] : ( 'fun_app$a'('times$'('one$'),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom374) ).
tff(f453,axiom,
! [X0: 'C$',X1: 'C$'] :
( ( ( X0 != X1 )
=> ( 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X0)),X1) = 'zero$' ) )
& ( ( X0 = X1 )
=> ( 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X0)),X1) = 'one$' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom451) ).
tff(f473,axiom,
'sum$a'('uze$','insert$'('i$','bot$')) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),'i$')),'i$')),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom471) ).
tff(f555,axiom,
! [X1: 'C_set$',X0: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),'fun_app$ba'('minus$'(X1),X0)) = 'fun_app$ba'('sup$'(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom553) ).
tff(f562,axiom,
'fun_app$a'('plus$b'('sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),'sum$a'('uze$','insert$'('i$','bot$'))) = 'sum$a'('uze$','insert$'('i$','bot$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom560) ).
tff(f563,axiom,
'sum$a'('uze$','fun_app$ba'('sup$'('fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$'))),'insert$'('i$','bot$'))) = 'fun_app$a'('plus$b'('sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),'sum$a'('uze$','insert$'('i$','bot$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom561) ).
tff(f577,axiom,
! [X1: 'A$',X0: 'A$'] : ( 'fun_app$a'('plus$b'(X0),X1) = 'fun_app$a'('plus$b'(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom575) ).
tff(f612,axiom,
! [X1: 'C_set$',X0: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom610) ).
tff(f702,axiom,
! [X0: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),'top$') = 'top$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom700) ).
tff(f902,plain,
'sum$a'('uub$','top$') != 'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$'),
inference(flattening,[],[f186]) ).
tff(f906,plain,
! [X0: 'C_set$',X1: 'C_a_fun$',X2: 'C_a_fun$'] :
( ! [X3: 'C$'] :
( 'member$'(X3,X0)
=> ( 'fun_app$'(X1,X3) = 'fun_app$'(X2,X3) ) )
=> ( 'sum$a'(X1,X0) = 'sum$a'(X2,X0) ) ),
inference(rectify,[],[f293]) ).
tff(f919,plain,
! [X1: 'C_set$',X0: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X1),X0) ),
inference(rectify,[],[f612]) ).
tff(f969,plain,
! [X1: 'C_set$',X0: 'C_set$'] : ( 'fun_app$ba'('sup$'(X1),X0) = 'fun_app$ba'('sup$'(X1),'fun_app$ba'('minus$'(X0),X1)) ),
inference(rectify,[],[f555]) ).
tff(f976,plain,
! [X1: 'C_a_fun$',X0: 'C$'] : ( 'fun_app$'(X1,X0) = 'fun_app$'('vec_nth$'('vec_lambda$a'(X1)),X0) ),
inference(rectify,[],[f247]) ).
tff(f983,plain,
! [X0: 'C$',X1: 'C_a_c_vec_fun$'] : ( 'fun_app$b'(X1,X0) = 'fun_app$b'('vec_nth$a'('vec_lambda$'(X1)),X0) ),
inference(rectify,[],[f246]) ).
tff(f988,plain,
! [X1: 'A$',X0: 'A$'] : ( 'fun_app$a'('plus$b'(X0),X1) = 'fun_app$a'('plus$b'(X1),X0) ),
inference(rectify,[],[f577]) ).
tff(f991,plain,
! [X1: 'C$',X0: 'C$'] :
( ( ( X0 = X1 )
=> ( 'one$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) ) )
& ( ( X0 != X1 )
=> ( 'zero$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) ) ) ),
inference(rectify,[],[f7]) ).
tff(f1002,plain,
! [X1: 'C$',X0: 'C$'] :
( ( ( X0 = X1 )
| ( 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X0)),X1) = 'zero$' ) )
& ( ( X0 != X1 )
| ( 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X0)),X1) = 'one$' ) ) ),
inference(ennf_transformation,[],[f453]) ).
tff(f1028,plain,
! [X2: 'C_a_fun$',X0: 'C_set$',X1: 'C_a_fun$'] :
( ? [X3: 'C$'] :
( ( 'fun_app$'(X1,X3) != 'fun_app$'(X2,X3) )
& 'member$'(X3,X0) )
| ( 'sum$a'(X1,X0) = 'sum$a'(X2,X0) ) ),
inference(ennf_transformation,[],[f906]) ).
tff(f1032,plain,
! [X0: 'C$',X1: 'C$'] :
( ( ( 'zero$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) )
| ( X0 = X1 ) )
& ( ( 'one$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) )
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f991]) ).
tff(f1060,plain,
! [X0: 'A$',X1: 'A$'] : ( 'fun_app$a'('plus$b'(X0),X1) = 'fun_app$a'('plus$b'(X1),X0) ),
inference(rectify,[],[f988]) ).
tff(f1067,plain,
! [X0: 'C_set$',X1: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X0),'fun_app$ba'('minus$'(X1),X0)) ),
inference(rectify,[],[f969]) ).
tff(f1070,plain,
! [X0: 'C_a_fun$',X1: 'C$'] : ( 'fun_app$'('vec_nth$'('vec_lambda$a'(X0)),X1) = 'fun_app$'(X0,X1) ),
inference(rectify,[],[f976]) ).
tff(f1092,plain,
! [X0: 'C_set$',X1: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X1),X0) ),
inference(rectify,[],[f919]) ).
tff(f1098,plain,
! [X0: 'C$',X1: 'C$'] :
( ( ( X0 = X1 )
| ( 'zero$' = 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X1)),X0) ) )
& ( ( X0 != X1 )
| ( 'one$' = 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X1)),X0) ) ) ),
inference(rectify,[],[f1002]) ).
tff(f1149,plain,
! [X0: 'C_a_fun$',X1: 'C_set$',X2: 'C_a_fun$'] :
( ? [X3: 'C$'] :
( ( 'fun_app$'(X2,X3) != 'fun_app$'(X0,X3) )
& 'member$'(X3,X1) )
| ( 'sum$a'(X0,X1) = 'sum$a'(X2,X1) ) ),
inference(rectify,[],[f1028]) ).
tff(f1150,plain,
! [X0: 'C_a_fun$',X1: 'C_set$',X2: 'C_a_fun$'] :
( ( ( 'fun_app$'(X0,sK16(X0,X1,X2)) != 'fun_app$'(X2,sK16(X0,X1,X2)) )
& 'member$'(sK16(X0,X1,X2),X1) )
| ( 'sum$a'(X0,X1) = 'sum$a'(X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X3,sK16(X0,X1,X2))],[f1149]) ).
tff(f1208,plain,
! [X0: 'A$',X1: 'A$'] : ( 'fun_app$a'('plus$b'(X0),X1) = 'fun_app$a'('plus$b'(X1),X0) ),
inference(cnf_transformation,[],[f1060]) ).
tff(f1209,plain,
! [X0: 'C_set$'] : ( 'top$' = 'fun_app$ba'('sup$'(X0),'top$') ),
inference(cnf_transformation,[],[f702]) ).
tff(f1226,plain,
! [X0: 'C_set$',X1: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X0),'fun_app$ba'('minus$'(X1),X0)) ),
inference(cnf_transformation,[],[f1067]) ).
tff(f1229,plain,
! [X0: 'C_a_fun$',X1: 'C$'] : ( 'fun_app$'('vec_nth$'('vec_lambda$a'(X0)),X1) = 'fun_app$'(X0,X1) ),
inference(cnf_transformation,[],[f1070]) ).
tff(f1231,plain,
! [X0: 'C$'] : ( 'fun_app$b'('uua$',X0) = 'vec_lambda$a'('fun_app$f'('uu$',X0)) ),
inference(cnf_transformation,[],[f6]) ).
tff(f1240,plain,
! [X0: 'A$'] : ( 'zero$' = 'fun_app$a'('times$'('zero$'),X0) ),
inference(cnf_transformation,[],[f259]) ).
tff(f1258,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),'i$')),'i$')),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$')),
inference(cnf_transformation,[],[f473]) ).
tff(f1263,plain,
! [X0: 'C$'] : ( 'fun_app$'('uze$',X0) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),'i$')),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
inference(cnf_transformation,[],[f2]) ).
tff(f1268,plain,
! [X0: 'C_set$',X1: 'C_set$'] : ( 'fun_app$ba'('sup$'(X0),X1) = 'fun_app$ba'('sup$'(X1),X0) ),
inference(cnf_transformation,[],[f1092]) ).
tff(f1269,plain,
'sum$a'('uub$','top$') != 'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$'),
inference(cnf_transformation,[],[f902]) ).
tff(f1278,plain,
! [X0: 'C$',X1: 'C$'] :
( ( X0 != X1 )
| ( 'one$' = 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X1)),X0) ) ),
inference(cnf_transformation,[],[f1098]) ).
tff(f1279,plain,
! [X0: 'C$',X1: 'C$'] :
( ( 'zero$' = 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X1)),X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f1098]) ).
tff(f1300,plain,
! [X0: 'C$',X1: 'C_a_c_vec_fun$'] : ( 'fun_app$b'(X1,X0) = 'fun_app$b'('vec_nth$a'('vec_lambda$'(X1)),X0) ),
inference(cnf_transformation,[],[f983]) ).
tff(f1370,plain,
! [X0: 'C$',X1: 'C$'] :
( ( 'one$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1032]) ).
tff(f1371,plain,
! [X0: 'C$',X1: 'C$'] :
( ( 'zero$' = 'fun_app$'('fun_app$f'('uu$',X1),X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f1032]) ).
tff(f1375,plain,
! [X2: 'C_a_fun$',X0: 'C_a_fun$',X1: 'C_set$'] :
( ( 'sum$a'(X0,X1) = 'sum$a'(X2,X1) )
| ( 'fun_app$'(X0,sK16(X0,X1,X2)) != 'fun_app$'(X2,sK16(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f1150]) ).
tff(f1408,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'fun_app$a'('plus$b'('sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),'sum$a'('uze$','insert$'('i$','bot$'))),
inference(cnf_transformation,[],[f562]) ).
tff(f1412,plain,
! [X0: 'C$'] : ( 'fun_app$'('uub$',X0) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('vec_lambda$'('uua$')),'i$')),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
inference(cnf_transformation,[],[f1]) ).
tff(f1417,plain,
'sum$a'('uze$','fun_app$ba'('sup$'('fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$'))),'insert$'('i$','bot$'))) = 'fun_app$a'('plus$b'('sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),'sum$a'('uze$','insert$'('i$','bot$'))),
inference(cnf_transformation,[],[f563]) ).
tff(f1418,plain,
! [X0: 'A$'] : ( 'fun_app$a'('times$'('one$'),X0) = X0 ),
inference(cnf_transformation,[],[f376]) ).
tff(f1447,plain,
! [X1: 'C$'] : ( 'one$' = 'fun_app$'('vec_nth$'('fun_app$b'('vec_nth$a'('mat$'('one$')),X1)),X1) ),
inference(equality_resolution,[],[f1278]) ).
tff(f1479,plain,
! [X1: 'C$'] : ( 'one$' = 'fun_app$'('fun_app$f'('uu$',X1),X1) ),
inference(equality_resolution,[],[f1370]) ).
tff(f1520,plain,
! [X0: 'C$',X1: 'C$'] : ( 'fun_app$'('fun_app$f'('uu$',X0),X1) = 'fun_app$'('vec_nth$'('fun_app$b'('uua$',X0)),X1) ),
inference(superposition,[],[f1229,f1231]) ).
tff(f3300,plain,
! [X0: 'C$'] :
( ( 'i$' = X0 )
| ( 'fun_app$'('uze$',X0) = 'fun_app$a'('times$'('zero$'),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ) ),
inference(superposition,[],[f1263,f1279]) ).
tff(f3301,plain,
'fun_app$'('uze$','i$') = 'fun_app$a'('times$'('one$'),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$')),
inference(superposition,[],[f1263,f1447]) ).
tff(f3309,plain,
! [X0: 'C$'] :
( ( 'fun_app$'('uze$',X0) = 'zero$' )
| ( 'i$' = X0 ) ),
inference(forward_demodulation,[],[f3300,f1240]) ).
tff(f3310,plain,
'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),'i$')),'ia$') = 'fun_app$'('uze$','i$'),
inference(forward_demodulation,[],[f3301,f1418]) ).
tff(f3332,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'fun_app$a'('plus$b'('sum$a'('uze$','insert$'('i$','bot$'))),'sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),
inference(forward_demodulation,[],[f1408,f1208]) ).
tff(f3333,plain,
! [X0: 'C$'] : ( 'fun_app$'('uub$',X0) = 'fun_app$a'('times$'('fun_app$'('vec_nth$'('fun_app$b'('uua$','i$')),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
inference(forward_demodulation,[],[f1412,f1300]) ).
tff(f3334,plain,
! [X0: 'C$'] : ( 'fun_app$'('uub$',X0) = 'fun_app$a'('times$'('fun_app$'('fun_app$f'('uu$','i$'),X0)),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) ),
inference(forward_demodulation,[],[f3333,f1520]) ).
tff(f3336,plain,
! [X0: 'C$'] :
( ( 'fun_app$'('uub$',X0) = 'fun_app$a'('times$'('zero$'),'fun_app$c'('vec_nth$b'('fun_app$d'('vec_nth$c'('a$'),X0)),'ia$')) )
| ( 'i$' = X0 ) ),
inference(superposition,[],[f3334,f1371]) ).
tff(f3345,plain,
! [X0: 'C$'] :
( ( 'fun_app$'('uub$',X0) = 'zero$' )
| ( 'i$' = X0 ) ),
inference(forward_demodulation,[],[f3336,f1240]) ).
tff(f3388,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'fun_app$'('uze$','i$'),
inference(forward_demodulation,[],[f1258,f1263]) ).
tff(f3466,plain,
'sum$a'('uub$','top$') != 'fun_app$'('uze$','i$'),
inference(superposition,[],[f1269,f3310]) ).
tff(f3467,plain,
'fun_app$a'('times$'('fun_app$'('fun_app$f'('uu$','i$'),'i$')),'fun_app$'('uze$','i$')) = 'fun_app$'('uub$','i$'),
inference(superposition,[],[f3334,f3310]) ).
tff(f3469,plain,
'fun_app$a'('times$'('one$'),'fun_app$'('uze$','i$')) = 'fun_app$'('uub$','i$'),
inference(forward_demodulation,[],[f3467,f1479]) ).
tff(f3471,plain,
'fun_app$'('uze$','i$') = 'fun_app$'('uub$','i$'),
inference(forward_demodulation,[],[f3469,f1418]) ).
tff(f3525,plain,
'sum$a'('uze$','fun_app$ba'('sup$'('fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$'))),'insert$'('i$','bot$'))) = 'fun_app$a'('plus$b'('sum$a'('uze$','insert$'('i$','bot$'))),'sum$a'('uze$','fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),
inference(forward_demodulation,[],[f1417,f1208]) ).
tff(f3526,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'sum$a'('uze$','fun_app$ba'('sup$'('fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$'))),'insert$'('i$','bot$'))),
inference(forward_demodulation,[],[f3525,f3332]) ).
tff(f3527,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'sum$a'('uze$','fun_app$ba'('sup$'('insert$'('i$','bot$')),'fun_app$ba'('minus$'('top$'),'insert$'('i$','bot$')))),
inference(forward_demodulation,[],[f3526,f1268]) ).
tff(f3528,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'sum$a'('uze$','fun_app$ba'('sup$'('insert$'('i$','bot$')),'top$')),
inference(forward_demodulation,[],[f3527,f1226]) ).
tff(f3529,plain,
'sum$a'('uze$','insert$'('i$','bot$')) = 'sum$a'('uze$','top$'),
inference(forward_demodulation,[],[f3528,f1209]) ).
tff(f3530,plain,
'sum$a'('uze$','top$') = 'fun_app$'('uze$','i$'),
inference(forward_demodulation,[],[f3529,f3388]) ).
tff(f3533,plain,
'sum$a'('uub$','top$') != 'sum$a'('uze$','top$'),
inference(superposition,[],[f3466,f3530]) ).
tff(f3535,plain,
! [X0: 'C_a_fun$'] :
( ( 'sum$a'('uze$','top$') != 'sum$a'(X0,'top$') )
| ( 'fun_app$'(X0,sK16(X0,'top$','uub$')) != 'fun_app$'('uub$',sK16(X0,'top$','uub$')) ) ),
inference(superposition,[],[f3533,f1375]) ).
tff(f3544,plain,
'fun_app$'('uze$',sK16('uze$','top$','uub$')) != 'fun_app$'('uub$',sK16('uze$','top$','uub$')),
inference(equality_resolution,[],[f3535]) ).
tff(f3546,plain,
( ( 'zero$' != 'fun_app$'('uze$',sK16('uze$','top$','uub$')) )
| ( 'i$' = sK16('uze$','top$','uub$') ) ),
inference(superposition,[],[f3544,f3345]) ).
tff(f3547,plain,
'i$' = sK16('uze$','top$','uub$'),
inference(forward_subsumption_resolution,[],[f3546,f3309]) ).
tff(f3592,plain,
'fun_app$'('uze$','i$') != 'fun_app$'('uub$','i$'),
inference(superposition,[],[f3544,f3547]) ).
tff(f3594,plain,
$false,
inference(forward_subsumption_resolution,[],[f3592,f3471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP321_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 12:53:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 4.42/1.71 % (198892)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.42/1.71 % (198944)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1755893245:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.42/1.71 % (198943)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=250505277:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.42/1.71 % (198945)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4232527715:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.42/1.71 % (198945)Instruction limit reached!
% 4.42/1.71 % (198945)------------------------------
% 4.42/1.71 % (198945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198945)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198945)Termination reason: Instruction limit
% 4.42/1.71 % (198945)Termination phase: Property scanning
% 4.42/1.71 % (198945)Time elapsed: 0.007 s
% 4.42/1.71 % (198945)Peak memory usage: 86 MB
% 4.42/1.71 % (198945)Instructions burned: 7 (million)
% 4.42/1.71 % (198946)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=135667642:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.42/1.71 % (198946)Instruction limit reached!
% 4.42/1.71 % (198946)------------------------------
% 4.42/1.71 % (198946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198946)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198946)Termination reason: Instruction limit
% 4.42/1.71 % (198946)Termination phase: Property scanning
% 4.42/1.71 % (198946)Time elapsed: 0.005 s
% 4.42/1.71 % (198946)Peak memory usage: 86 MB
% 4.42/1.71 % (198946)Instructions burned: 4 (million)
% 4.42/1.71 % (198949)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1968243062:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.42/1.71 % (198942)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3532043734:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.42/1.71 % (198947)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1971275262:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.42/1.71 % (198944)Instruction limit reached!
% 4.42/1.71 % (198944)------------------------------
% 4.42/1.71 % (198944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198944)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198944)Termination reason: Instruction limit
% 4.42/1.71 % (198944)Termination phase: Saturation
% 4.42/1.71 % (198944)Time elapsed: 0.122 s
% 4.42/1.71 % (198944)Peak memory usage: 119 MB
% 4.42/1.71 % (198944)Instructions burned: 201 (million)
% 4.42/1.71 % (198949)Instruction limit reached!
% 4.42/1.71 % (198949)------------------------------
% 4.42/1.71 % (198949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198949)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198949)Termination reason: Instruction limit
% 4.42/1.71 % (198949)Termination phase: Naming
% 4.42/1.71 % (198949)Time elapsed: 0.029 s
% 4.42/1.71 % (198949)Peak memory usage: 87 MB
% 4.42/1.71 % (198949)Instructions burned: 34 (million)
% 4.42/1.71 % (198942)Instruction limit reached!
% 4.42/1.71 % (198942)------------------------------
% 4.42/1.71 % (198942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198942)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198942)Termination reason: Instruction limit
% 4.42/1.71 % (198942)Termination phase: Property scanning
% 4.42/1.71 % (198942)Time elapsed: 0.013 s
% 4.42/1.71 % (198942)Peak memory usage: 86 MB
% 4.42/1.71 % (198942)Instructions burned: 13 (million)
% 4.42/1.71 % (198947)Instruction limit reached!
% 4.42/1.71 % (198947)------------------------------
% 4.42/1.71 % (198947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.71 % (198947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.71 % (198947)CaDiCaL version: 2.1.3
% 4.42/1.71 % (198947)Termination reason: Instruction limit
% 5.98/1.93 % (198947)Termination phase: Property scanning
% 5.98/1.93 % (198947)Time elapsed: 0.041 s
% 5.98/1.93 % (198947)Peak memory usage: 88 MB
% 5.98/1.93 % (198947)Instructions burned: 47 (million)
% 5.98/1.93 % (198972)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=639398762:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.98/1.93 % (198972)Instruction limit reached!
% 5.98/1.93 % (198972)------------------------------
% 5.98/1.93 % (198972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198972)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198972)Termination reason: Instruction limit
% 5.98/1.93 % (198972)Termination phase: Preprocessing 1
% 5.98/1.93 % (198972)Time elapsed: 0.013 s
% 5.98/1.93 % (198972)Peak memory usage: 86 MB
% 5.98/1.93 % (198972)Instructions burned: 24 (million)
% 5.98/1.93 % (198971)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2074514971:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 5.98/1.93 % (198964)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2181987799:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.98/1.93 % (198966)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=3589713499:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.98/1.93 % (198971)Instruction limit reached!
% 5.98/1.93 % (198971)------------------------------
% 5.98/1.93 % (198971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198971)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198971)Termination reason: Instruction limit
% 5.98/1.93 % (198971)Termination phase: Preprocessing 1
% 5.98/1.93 % (198971)Time elapsed: 0.010 s
% 5.98/1.93 % (198971)Peak memory usage: 87 MB
% 5.98/1.93 % (198971)Instructions burned: 17 (million)
% 5.98/1.93 % (198964)Instruction limit reached!
% 5.98/1.93 % (198964)------------------------------
% 5.98/1.93 % (198964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198964)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198964)Termination reason: Instruction limit
% 5.98/1.93 % (198964)Termination phase: SInE selection
% 5.98/1.93 % (198964)Time elapsed: 0.014 s
% 5.98/1.93 % (198964)Peak memory usage: 86 MB
% 5.98/1.93 % (198964)Instructions burned: 14 (million)
% 5.98/1.93 % (198966)Instruction limit reached!
% 5.98/1.93 % (198966)------------------------------
% 5.98/1.93 % (198966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198966)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198966)Termination reason: Instruction limit
% 5.98/1.93 % (198966)Termination phase: Preprocessing 1
% 5.98/1.93 % (198966)Time elapsed: 0.025 s
% 5.98/1.93 % (198966)Peak memory usage: 87 MB
% 5.98/1.93 % (198966)Instructions burned: 29 (million)
% 5.98/1.93 % (198973)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=1209285880:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.98/1.93 % (198943)Instruction limit reached!
% 5.98/1.93 % (198943)------------------------------
% 5.98/1.93 % (198943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198943)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198943)Termination reason: Instruction limit
% 5.98/1.93 % (198943)Termination phase: Saturation
% 5.98/1.93 % (198943)Time elapsed: 0.303 s
% 5.98/1.93 % (198943)Peak memory usage: 119 MB
% 5.98/1.93 % (198943)Instructions burned: 307 (million)
% 5.98/1.93 % (198973)Instruction limit reached!
% 5.98/1.93 % (198973)------------------------------
% 5.98/1.93 % (198973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.93 % (198973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.93 % (198973)CaDiCaL version: 2.1.3
% 5.98/1.93 % (198973)Termination reason: Instruction limit
% 8.18/2.15 % (198973)Termination phase: Preprocessing 1
% 8.18/2.15 % (198973)Time elapsed: 0.014 s
% 8.18/2.15 % (198973)Peak memory usage: 86 MB
% 8.18/2.15 % (198973)Instructions burned: 27 (million)
% 8.18/2.15 % (198974)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=513037992:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 8.18/2.15 % (198974)Instruction limit reached!
% 8.18/2.15 % (198974)------------------------------
% 8.18/2.15 % (198974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.15 % (198974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.15 % (198974)CaDiCaL version: 2.1.3
% 8.18/2.15 % (198974)Termination reason: Instruction limit
% 8.18/2.15 % (198974)Termination phase: Property scanning
% 8.18/2.15 % (198974)Time elapsed: 0.055 s
% 8.18/2.15 % (198974)Peak memory usage: 89 MB
% 8.18/2.15 % (198974)Instructions burned: 86 (million)
% 8.18/2.15 % (198986)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1265714762:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 8.18/2.15 % (198986)Instruction limit reached!
% 8.18/2.15 % (198986)------------------------------
% 8.18/2.15 % (198986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.15 % (198986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.15 % (198986)CaDiCaL version: 2.1.3
% 8.18/2.15 % (198986)Termination reason: Instruction limit
% 8.18/2.15 % (198986)Termination phase: shuffling
% 8.18/2.15 % (198986)Time elapsed: 0.004 s
% 8.18/2.15 % (198986)Peak memory usage: 86 MB
% 8.18/2.15 % (198986)Instructions burned: 2 (million)
% 8.18/2.15 % (198993)lrs+10_1_thi=all:si=on:fd=off:random_seed=87106931:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 8.18/2.15 % (198991)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=980016427:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 8.18/2.15 % (198987)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3955182823:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 8.18/2.15 % (198988)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1973129195:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 8.18/2.15 % (198988)Instruction limit reached!
% 8.18/2.15 % (198988)------------------------------
% 8.18/2.15 % (198988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.15 % (198988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.15 % (198988)CaDiCaL version: 2.1.3
% 8.18/2.15 % (198988)Termination reason: Instruction limit
% 8.18/2.15 % (198988)Termination phase: Property scanning
% 8.18/2.15 % (198988)Time elapsed: 0.005 s
% 8.18/2.15 % (198988)Peak memory usage: 86 MB
% 8.18/2.15 % (198988)Instructions burned: 4 (million)
% 8.18/2.15 % (198993)Instruction limit reached!
% 8.18/2.15 % (198993)------------------------------
% 8.18/2.15 % (198993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.15 % (198993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.15 % (198993)CaDiCaL version: 2.1.3
% 8.18/2.15 % (198993)Termination reason: Instruction limit
% 8.18/2.15 % (198993)Termination phase: Preprocessing 3
% 8.18/2.15 % (198993)Time elapsed: 0.023 s
% 8.18/2.15 % (198993)Peak memory usage: 88 MB
% 8.18/2.15 % (198993)Instructions burned: 58 (million)
% 8.18/2.15 % (198991)Instruction limit reached!
% 8.18/2.15 % (198991)------------------------------
% 8.18/2.15 % (198991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.15 % (198991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.15 % (198991)CaDiCaL version: 2.1.3
% 8.18/2.15 % (198991)Termination reason: Instruction limit
% 8.18/2.15 % (198991)Termination phase: Function definition elimination
% 8.18/2.15 % (198991)Time elapsed: 0.062 s
% 8.18/2.15 % (198991)Peak memory usage: 89 MB
% 8.18/2.15 % (198991)Instructions burned: 66 (million)
% 8.18/2.15 % (198994)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=3040675403:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 8.18/2.15 % (198994)Instruction limit reached!
% 8.18/2.15 % (198994)------------------------------
% 8.18/2.15 % (198994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (198994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (198994)CaDiCaL version: 2.1.3
% 9.44/2.42 % (198994)Termination reason: Instruction limit
% 9.44/2.42 % (198994)Termination phase: Property scanning
% 9.44/2.42 % (198994)Time elapsed: 0.009 s
% 9.44/2.42 % (198994)Peak memory usage: 86 MB
% 9.44/2.42 % (198994)Instructions burned: 8 (million)
% 9.44/2.42 % (198997)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=571566415:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 9.44/2.42 % (198997)Instruction limit reached!
% 9.44/2.42 % (198997)------------------------------
% 9.44/2.42 % (198997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (198997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (198997)CaDiCaL version: 2.1.3
% 9.44/2.42 % (198997)Termination reason: Instruction limit
% 9.44/2.42 % (198997)Termination phase: shuffling
% 9.44/2.42 % (198997)Time elapsed: 0.003 s
% 9.44/2.42 % (198997)Peak memory usage: 86 MB
% 9.44/2.42 % (198997)Instructions burned: 3 (million)
% 9.44/2.42 % (198987)Instruction limit reached!
% 9.44/2.42 % (198987)------------------------------
% 9.44/2.42 % (198987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (198987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (198987)CaDiCaL version: 2.1.3
% 9.44/2.42 % (198987)Termination reason: Instruction limit
% 9.44/2.42 % (198987)Termination phase: Saturation
% 9.44/2.42 % (198987)Time elapsed: 0.170 s
% 9.44/2.42 % (198987)Peak memory usage: 91 MB
% 9.44/2.42 % (198987)Instructions burned: 181 (million)
% 9.44/2.42 % (199003)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3934759164:i=2:doe=on:canc=force:asg=cautious:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 9.44/2.42 % (199003)Instruction limit reached!
% 9.44/2.42 % (199003)------------------------------
% 9.44/2.42 % (199003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (199003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (199003)CaDiCaL version: 2.1.3
% 9.44/2.42 % (199003)Termination reason: Instruction limit
% 9.44/2.42 % (199003)Termination phase: shuffling
% 9.44/2.42 % (199003)Time elapsed: 0.004 s
% 9.44/2.42 % (199003)Peak memory usage: 86 MB
% 9.44/2.42 % (199003)Instructions burned: 3 (million)
% 9.44/2.42 % (199006)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1438227612:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 9.44/2.42 % (199008)dis+10_1_si=on:random_seed=3321260020:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 9.44/2.42 % (199017)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2605259907:i=2:fsr=off:rtra=on:inst=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.44/2.42 % (199008)Instruction limit reached!
% 9.44/2.42 % (199008)------------------------------
% 9.44/2.42 % (199008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (199008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (199008)CaDiCaL version: 2.1.3
% 9.44/2.42 % (199008)Termination reason: Instruction limit
% 9.44/2.42 % (199008)Termination phase: Property scanning
% 9.44/2.42 % (199008)Time elapsed: 0.010 s
% 9.44/2.42 % (199008)Peak memory usage: 86 MB
% 9.44/2.42 % (199008)Instructions burned: 11 (million)
% 9.44/2.42 % (199017)Instruction limit reached!
% 9.44/2.42 % (199017)------------------------------
% 9.44/2.42 % (199017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.42 % (199017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.42 % (199017)CaDiCaL version: 2.1.3
% 9.44/2.42 % (199017)Termination reason: Instruction limit
% 9.44/2.42 % (199017)Termination phase: shuffling
% 9.44/2.42 % (199017)Time elapsed: 0.002 s
% 9.44/2.42 % (199017)Peak memory usage: 86 MB
% 9.44/2.42 % (199017)Instructions burned: 3 (million)
% 9.44/2.42 % (199012)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4203959407:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 9.44/2.42 % (199016)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1210734263: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_2992 on theBenchmark for (2992ds/35Mi)
% 9.44/2.42 % (199012)Instruction limit reached!
% 10.55/2.71 % (199012)------------------------------
% 10.55/2.71 % (199012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199012)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199012)Termination reason: Instruction limit
% 10.55/2.71 % (199012)Termination phase: Preprocessing 1
% 10.55/2.71 % (199012)Time elapsed: 0.022 s
% 10.55/2.71 % (199012)Peak memory usage: 87 MB
% 10.55/2.71 % (199012)Instructions burned: 26 (million)
% 10.55/2.71 % (199016)Instruction limit reached!
% 10.55/2.71 % (199016)------------------------------
% 10.55/2.71 % (199016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199016)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199016)Termination reason: Instruction limit
% 10.55/2.71 % (199016)Termination phase: Preprocessing 2
% 10.55/2.71 % (199016)Time elapsed: 0.033 s
% 10.55/2.71 % (199016)Peak memory usage: 87 MB
% 10.55/2.71 % (199016)Instructions burned: 35 (million)
% 10.55/2.71 % (199020)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1744626634:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2991 on theBenchmark for (2991ds/8Mi)
% 10.55/2.71 % (199006)Instruction limit reached!
% 10.55/2.71 % (199006)------------------------------
% 10.55/2.71 % (199006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199006)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199006)Termination reason: Instruction limit
% 10.55/2.71 % (199006)Termination phase: Saturation
% 10.55/2.71 % (199006)Time elapsed: 0.133 s
% 10.55/2.71 % (199006)Peak memory usage: 115 MB
% 10.55/2.71 % (199006)Instructions burned: 128 (million)
% 10.55/2.71 % (199020)Instruction limit reached!
% 10.55/2.71 % (199020)------------------------------
% 10.55/2.71 % (199020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199020)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199020)Termination reason: Instruction limit
% 10.55/2.71 % (199020)Termination phase: Property scanning
% 10.55/2.71 % (199020)Time elapsed: 0.010 s
% 10.55/2.71 % (199020)Peak memory usage: 86 MB
% 10.55/2.71 % (199020)Instructions burned: 9 (million)
% 10.55/2.71 % (199027)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2668329447:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/13Mi)
% 10.55/2.71 % (199027)Instruction limit reached!
% 10.55/2.71 % (199027)------------------------------
% 10.55/2.71 % (199027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199027)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199027)Termination reason: Instruction limit
% 10.55/2.71 % (199027)Termination phase: Property scanning
% 10.55/2.71 % (199027)Time elapsed: 0.007 s
% 10.55/2.71 % (199027)Peak memory usage: 86 MB
% 10.55/2.71 % (199027)Instructions burned: 16 (million)
% 10.55/2.71 % (199024)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=288486736:i=370:ep=RS:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/370Mi)
% 10.55/2.71 % (199028)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=4226462752:i=226:rtra=on:gtg=position:ss=axioms_2990 on theBenchmark for (2990ds/226Mi)
% 10.55/2.71 % (199033)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2948419085:i=10:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 10.55/2.71 % (199033)Instruction limit reached!
% 10.55/2.71 % (199033)------------------------------
% 10.55/2.71 % (199033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.71 % (199033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.71 % (199033)CaDiCaL version: 2.1.3
% 10.55/2.71 % (199033)Termination reason: Instruction limit
% 10.55/2.71 % (199033)Termination phase: Property scanning
% 10.55/2.71 % (199033)Time elapsed: 0.011 s
% 10.55/2.71 % (199033)Peak memory usage: 86 MB
% 10.55/2.71 % (199033)Instructions burned: 10 (million)
% 10.55/2.71 % (199035)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3533300048:i=71:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/71Mi)
% 12.28/2.92 % (199042)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=6800806:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2989 on theBenchmark for (2989ds/130Mi)
% 12.28/2.92 % (199028)Refutation not found, incomplete strategy
% 12.28/2.92 % (199028)------------------------------
% 12.28/2.92 % (199028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199028)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199028)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.92 % (199028)Time elapsed: 0.085 s
% 12.28/2.92 % (199028)Peak memory usage: 117 MB
% 12.28/2.92 % (199028)Instructions burned: 55 (million)
% 12.28/2.92 % (199039)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=1035435018:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2989 on theBenchmark for (2989ds/294Mi)
% 12.28/2.92 % (199038)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=285593693:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2989 on theBenchmark for (2989ds/75Mi)
% 12.28/2.92 % (199035)Instruction limit reached!
% 12.28/2.92 % (199035)------------------------------
% 12.28/2.92 % (199035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199035)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199035)Termination reason: Instruction limit
% 12.28/2.92 % (199035)Termination phase: Property scanning
% 12.28/2.92 % (199035)Time elapsed: 0.064 s
% 12.28/2.92 % (199035)Peak memory usage: 89 MB
% 12.28/2.92 % (199035)Instructions burned: 72 (million)
% 12.28/2.92 % (199042)Instruction limit reached!
% 12.28/2.92 % (199042)------------------------------
% 12.28/2.92 % (199042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199042)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199042)Termination reason: Instruction limit
% 12.28/2.92 % (199042)Termination phase: Saturation
% 12.28/2.92 % (199042)Time elapsed: 0.093 s
% 12.28/2.92 % (199042)Peak memory usage: 91 MB
% 12.28/2.92 % (199042)Instructions burned: 130 (million)
% 12.28/2.92 % (199038)Instruction limit reached!
% 12.28/2.92 % (199038)------------------------------
% 12.28/2.92 % (199038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199038)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199038)Termination reason: Instruction limit
% 12.28/2.92 % (199038)Termination phase: Property scanning
% 12.28/2.92 % (199038)Time elapsed: 0.073 s
% 12.28/2.92 % (199038)Peak memory usage: 89 MB
% 12.28/2.92 % (199038)Instructions burned: 75 (million)
% 12.28/2.92 % (199048)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3208776321:i=131:rtra=on_2988 on theBenchmark for (2988ds/131Mi)
% 12.28/2.92 % (199048)Instruction limit reached!
% 12.28/2.92 % (199048)------------------------------
% 12.28/2.92 % (199048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199048)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199048)Termination reason: Instruction limit
% 12.28/2.92 % (199048)Termination phase: Saturation
% 12.28/2.92 % (199048)Time elapsed: 0.090 s
% 12.28/2.92 % (199048)Peak memory usage: 132 MB
% 12.28/2.92 % (199048)Instructions burned: 131 (million)
% 12.28/2.92 % (199024)Instruction limit reached!
% 12.28/2.92 % (199024)------------------------------
% 12.28/2.92 % (199024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.92 % (199024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.92 % (199024)CaDiCaL version: 2.1.3
% 12.28/2.92 % (199024)Termination reason: Instruction limit
% 12.28/2.92 % (199024)Termination phase: Saturation
% 12.28/2.92 % (199024)Time elapsed: 0.333 s
% 12.28/2.92 % (199024)Peak memory usage: 94 MB
% 12.28/2.92 % (199024)Instructions burned: 372 (million)
% 12.28/2.92 % (199058)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=585145001:i=307:rtra=on:gtg=exists_top_2986 on theBenchmark for (2986ds/307Mi)
% 12.28/2.92 % (199057)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=1568847524:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2987 on theBenchmark for (2987ds/40Mi)
% 15.74/3.28 % (199057)Instruction limit reached!
% 15.74/3.28 % (199057)------------------------------
% 15.74/3.28 % (199057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.28 % (199057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.28 % (199057)CaDiCaL version: 2.1.3
% 15.74/3.28 % (199057)Termination reason: Instruction limit
% 15.74/3.28 % (199057)Termination phase: Property scanning
% 15.74/3.28 % (199057)Time elapsed: 0.020 s
% 15.74/3.28 % (199057)Peak memory usage: 86 MB
% 15.74/3.28 % (199057)Instructions burned: 42 (million)
% 15.74/3.28 % (199039)Instruction limit reached!
% 15.74/3.28 % (199039)------------------------------
% 15.74/3.28 % (199039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.28 % (199039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.28 % (199063)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=874426160:i=131:canc=cautious:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 15.74/3.28 % (199039)CaDiCaL version: 2.1.3
% 15.74/3.28 % (199039)Termination reason: Instruction limit
% 15.74/3.28 % (199039)Termination phase: Saturation
% 15.74/3.28 % (199039)Time elapsed: 0.271 s
% 15.74/3.28 % (199039)Peak memory usage: 93 MB
% 15.74/3.28 % (199039)Instructions burned: 295 (million)
% 15.74/3.28 % (199060)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2810632692:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/598Mi)
% 15.74/3.28 % (199028)------------------------------
% 15.74/3.28 % (199028)------------------------------
% 15.74/3.28 % (199063)Instruction limit reached!
% 15.74/3.28 % (199063)------------------------------
% 15.74/3.28 % (199063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.28 % (199063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.28 % (199063)CaDiCaL version: 2.1.3
% 15.74/3.28 % (199063)Termination reason: Instruction limit
% 15.74/3.28 % (199063)Termination phase: Saturation
% 15.74/3.28 % (199063)Time elapsed: 0.054 s
% 15.74/3.28 % (199063)Peak memory usage: 115 MB
% 15.74/3.28 % (199063)Instructions burned: 132 (million)
% 15.74/3.28 % (199058)Refutation not found, incomplete strategy
% 15.74/3.28 % (199058)------------------------------
% 15.74/3.28 % (199058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.28 % (199058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.28 % (199058)CaDiCaL version: 2.1.3
% 15.74/3.28 % (199058)Termination reason: Refutation not found, incomplete strategy
% 15.74/3.28 % (199058)Time elapsed: 0.110 s
% 15.74/3.28 % (199058)Peak memory usage: 94 MB
% 15.74/3.28 % (199058)Instructions burned: 179 (million)
% 15.74/3.28 % (199064)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=2344815069:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2985 on theBenchmark for (2985ds/259Mi)
% 15.74/3.28 % (199067)dis+10_1_si=on:random_seed=80322280:s2a=on:i=1000:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/1000Mi)
% 15.74/3.28 % (199069)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2632748715:i=383:fsr=off:rtra=on:ev=force_2984 on theBenchmark for (2984ds/383Mi)
% 15.74/3.28 % (199073)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=3226773990:i=65:nm=16:rtra=on_2984 on theBenchmark for (2984ds/65Mi)
% 15.74/3.28 % (199071)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2805456171:i=141:doe=on:rtra=on_2984 on theBenchmark for (2984ds/141Mi)
% 15.74/3.28 % (199073)Instruction limit reached!
% 15.74/3.28 % (199073)------------------------------
% 15.74/3.28 % (199073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.28 % (199073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.28 % (199073)CaDiCaL version: 2.1.3
% 15.74/3.28 % (199073)Termination reason: Instruction limit
% 15.74/3.28 % (199073)Termination phase: Property scanning
% 15.74/3.28 % (199073)Time elapsed: 0.019 s
% 15.74/3.28 % (199073)Peak memory usage: 89 MB
% 15.74/3.28 % (199073)Instructions burned: 70 (million)
% 15.74/3.28 % (199071)Instruction limit reached!
% 15.74/3.28 % (199071)------------------------------
% 15.74/3.28 % (199071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199071)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199071)Termination reason: Instruction limit
% 16.50/3.40 % (199071)Termination phase: Saturation
% 16.50/3.40 % (199071)Time elapsed: 0.081 s
% 16.50/3.40 % (199071)Peak memory usage: 92 MB
% 16.50/3.40 % (199071)Instructions burned: 142 (million)
% 16.50/3.40 % (199064)Instruction limit reached!
% 16.50/3.40 % (199064)------------------------------
% 16.50/3.40 % (199064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199064)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199064)Termination reason: Instruction limit
% 16.50/3.40 % (199064)Termination phase: Saturation
% 16.50/3.40 % (199064)Time elapsed: 0.188 s
% 16.50/3.40 % (199064)Peak memory usage: 118 MB
% 16.50/3.40 % (199064)Instructions burned: 261 (million)
% 16.50/3.40 % (199078)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2154835105:i=121:nm=16:rtra=on_2983 on theBenchmark for (2983ds/121Mi)
% 16.50/3.40 % (199078)Instruction limit reached!
% 16.50/3.40 % (199078)------------------------------
% 16.50/3.40 % (199078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199078)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199078)Termination reason: Instruction limit
% 16.50/3.40 % (199078)Termination phase: Saturation
% 16.50/3.40 % (199078)Time elapsed: 0.035 s
% 16.50/3.40 % (199078)Peak memory usage: 91 MB
% 16.50/3.40 % (199078)Instructions burned: 121 (million)
% 16.50/3.40 % (199058)------------------------------
% 16.50/3.40 % (199058)------------------------------
% 16.50/3.40 % (199079)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=396102349:s2a=on:i=128:s2at=5:ins=3:rtra=on_2982 on theBenchmark for (2982ds/128Mi)
% 16.50/3.40 % (199080)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=222703874:i=39:ins=3:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 16.50/3.40 % (199083)dis+1010_1_to=kbo:si=on:random_seed=4262937465:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2981 on theBenchmark for (2981ds/175Mi)
% 16.50/3.40 % (199069)Instruction limit reached!
% 16.50/3.40 % (199069)------------------------------
% 16.50/3.40 % (199069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199069)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199069)Termination reason: Instruction limit
% 16.50/3.40 % (199069)Termination phase: Saturation
% 16.50/3.40 % (199069)Time elapsed: 0.252 s
% 16.50/3.40 % (199069)Peak memory usage: 98 MB
% 16.50/3.40 % (199069)Instructions burned: 384 (million)
% 16.50/3.40 % (199080)Instruction limit reached!
% 16.50/3.40 % (199080)------------------------------
% 16.50/3.40 % (199080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199080)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199080)Termination reason: Instruction limit
% 16.50/3.40 % (199080)Termination phase: Preprocessing 3
% 16.50/3.40 % (199080)Time elapsed: 0.021 s
% 16.50/3.40 % (199080)Peak memory usage: 88 MB
% 16.50/3.40 % (199080)Instructions burned: 39 (million)
% 16.50/3.40 % (199083)Instruction limit reached!
% 16.50/3.40 % (199083)------------------------------
% 16.50/3.40 % (199083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199083)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199083)Termination reason: Instruction limit
% 16.50/3.40 % (199083)Termination phase: Saturation
% 16.50/3.40 % (199083)Time elapsed: 0.052 s
% 16.50/3.40 % (199083)Peak memory usage: 93 MB
% 16.50/3.40 % (199083)Instructions burned: 175 (million)
% 16.50/3.40 % (199084)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2594045783:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/329Mi)
% 16.50/3.40 % (199079)Instruction limit reached!
% 16.50/3.40 % (199079)------------------------------
% 16.50/3.40 % (199079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199079)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199079)Termination reason: Instruction limit
% 16.50/3.40 % (199079)Termination phase: Saturation
% 16.50/3.40 % (199079)Time elapsed: 0.074 s
% 16.50/3.40 % (199079)Peak memory usage: 92 MB
% 16.50/3.40 % (199079)Instructions burned: 128 (million)
% 16.50/3.40 % (199088)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=272499832:s2a=on:i=483:doe=on:nm=32:rtra=on_2981 on theBenchmark for (2981ds/483Mi)
% 16.50/3.40 % (199060)Instruction limit reached!
% 16.50/3.40 % (199060)------------------------------
% 16.50/3.40 % (199060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199060)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199060)Termination reason: Instruction limit
% 16.50/3.40 % (199060)Termination phase: Saturation
% 16.50/3.40 % (199060)Time elapsed: 0.499 s
% 16.50/3.40 % (199060)Peak memory usage: 139 MB
% 16.50/3.40 % (199060)Instructions burned: 599 (million)
% 16.50/3.40 % (199091)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=2448472121:i=349:rtra=on_2980 on theBenchmark for (2980ds/349Mi)
% 16.50/3.40 % (199089)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=2512841295:thitd=on:i=215:nm=0:rtra=on:ev=force_2980 on theBenchmark for (2980ds/215Mi)
% 16.50/3.40 % (199092)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=1192357502:st=2:i=295:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/295Mi)
% 16.50/3.40 % (199118)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=530256567:i=328:kws=inv_frequency:nm=20:rtra=on_2979 on theBenchmark for (2979ds/328Mi)
% 16.50/3.40 % (199091)Instruction limit reached!
% 16.50/3.40 % (199091)------------------------------
% 16.50/3.40 % (199091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199091)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199091)Termination reason: Instruction limit
% 16.50/3.40 % (199091)Termination phase: Saturation
% 16.50/3.40 % (199091)Time elapsed: 0.139 s
% 16.50/3.40 % (199091)Peak memory usage: 121 MB
% 16.50/3.40 % (199091)Instructions burned: 351 (million)
% 16.50/3.40 % (199092)First to succeed.
% 16.50/3.40 % (199092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-198892"
% 16.50/3.40 % (199084)Instruction limit reached!
% 16.50/3.40 % (199084)------------------------------
% 16.50/3.40 % (199084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199084)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199084)Termination reason: Instruction limit
% 16.50/3.40 % (199084)Termination phase: Saturation
% 16.50/3.40 % (199084)Time elapsed: 0.243 s
% 16.50/3.40 % (199084)Peak memory usage: 121 MB
% 16.50/3.40 % (199084)Instructions burned: 329 (million)
% 16.50/3.40 % (199089)Instruction limit reached!
% 16.50/3.40 % (199089)------------------------------
% 16.50/3.40 % (199089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199089)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199089)Termination reason: Instruction limit
% 16.50/3.40 % (199089)Termination phase: Saturation
% 16.50/3.40 % (199089)Time elapsed: 0.156 s
% 16.50/3.40 % (199089)Peak memory usage: 136 MB
% 16.50/3.40 % (199089)Instructions burned: 216 (million)
% 16.50/3.40 % (199067)Instruction limit reached!
% 16.50/3.40 % (199067)------------------------------
% 16.50/3.40 % (199067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199067)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199067)Termination reason: Instruction limit
% 16.50/3.40 % (199067)Termination phase: Saturation
% 16.50/3.40 % (199067)Time elapsed: 0.585 s
% 16.50/3.40 % (199067)Peak memory usage: 99 MB
% 16.50/3.40 % (199067)Instructions burned: 1000 (million)
% 16.50/3.40 % (199172)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=2739663744:i=281:gtgl=2:rtra=on:gtg=all_2978 on theBenchmark for (2978ds/281Mi)
% 16.50/3.40 % (199179)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=1084336516:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_2978 on theBenchmark for (2978ds/321Mi)
% 16.50/3.40 % (199176)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=1638777804:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/484Mi)
% 16.50/3.40 % (199184)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3815333331:i=416:rtra=on:gtg=position:ss=axioms_2977 on theBenchmark for (2977ds/416Mi)
% 16.50/3.40 % (199176)Refutation not found, incomplete strategy
% 16.50/3.40 % (199176)------------------------------
% 16.50/3.40 % (199176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199176)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199176)Termination reason: Refutation not found, incomplete strategy
% 16.50/3.40 % (199176)Time elapsed: 0.025 s
% 16.50/3.40 % (199176)Peak memory usage: 90 MB
% 16.50/3.40 % (199176)Instructions burned: 49 (million)
% 16.50/3.40 % (199172)Instruction limit reached!
% 16.50/3.40 % (199172)------------------------------
% 16.50/3.40 % (199172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199172)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199172)Termination reason: Instruction limit
% 16.50/3.40 % (199172)Termination phase: Saturation
% 16.50/3.40 % (199172)Time elapsed: 0.105 s
% 16.50/3.40 % (199172)Peak memory usage: 120 MB
% 16.50/3.40 % (199172)Instructions burned: 283 (million)
% 16.50/3.40 % (199088)Instruction limit reached!
% 16.50/3.40 % (199088)------------------------------
% 16.50/3.40 % (199088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199088)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199088)Termination reason: Instruction limit
% 16.50/3.40 % (199088)Termination phase: Saturation
% 16.50/3.40 % (199088)Time elapsed: 0.364 s
% 16.50/3.40 % (199088)Peak memory usage: 139 MB
% 16.50/3.40 % (199088)Instructions burned: 484 (million)
% 16.50/3.40 % (199118)Instruction limit reached!
% 16.50/3.40 % (199118)------------------------------
% 16.50/3.40 % (199118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199118)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199118)Termination reason: Instruction limit
% 16.50/3.40 % (199118)Termination phase: Saturation
% 16.50/3.40 % (199118)Time elapsed: 0.225 s
% 16.50/3.40 % (199118)Peak memory usage: 120 MB
% 16.50/3.40 % (199118)Instructions burned: 329 (million)
% 16.50/3.40 % (199184)Refutation not found, incomplete strategy
% 16.50/3.40 % (199184)------------------------------
% 16.50/3.40 % (199184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.40 % (199184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.40 % (199184)CaDiCaL version: 2.1.3
% 16.50/3.40 % (199184)Termination reason: Refutation not found, incomplete strategy
% 16.50/3.40 % (199184)Time elapsed: 0.052 s
% 16.50/3.40 % (199184)Peak memory usage: 117 MB
% 16.50/3.40 % (199184)Instructions burned: 55 (million)
% 16.50/3.40 % (199092)Refutation found. Thanks to Tanya!
% 16.50/3.40 % SZS status Theorem for theBenchmark
% 16.50/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 17.44/3.60 % (199092)------------------------------
% 17.44/3.60 % (199092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.44/3.60 % (199092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/3.60 % (199092)CaDiCaL version: 2.1.3
% 17.44/3.60 % (199092)Termination reason: Refutation
% 17.44/3.60 % (199092)Time elapsed: 0.090 s
% 17.44/3.60 % (199092)Peak memory usage: 91 MB
% 17.44/3.60 % (199092)Instructions burned: 155 (million)
% 17.44/3.60 % (199092)------------------------------
% 17.44/3.60 % (199092)------------------------------
% 17.44/3.60 % (198892)Success in time 2.439 s
% 17.44/3.60 % Vampire exiting
%------------------------------------------------------------------------------