TSTP Solution File: ITP338_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:19:38 EDT 2022

% Result   : Theorem 2.64s 0.98s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  388
% Syntax   : Number of formulae    :  439 (  24 unt; 373 typ;   0 def)
%            Number of atoms       :  256 ( 136 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  303 ( 113   ~;  91   |;  64   &)
%                                         (   4 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number arithmetic     :  101 (  35 atm;  26 fun;  26 num;  14 var)
%            Number of types       :   72 (  70 usr;   1 ari)
%            Number of type conns  :  425 ( 268   >; 157   *;   0   +;   0  <<)
%            Number of predicates  :   31 (  27 usr;   5 prp; 0-2 aty)
%            Number of functors    :  282 ( 280 usr;  36 con; 0-4 aty)
%            Number of variables   :   69 (  65   !;   4   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'A_nat_a_b_vec_c_vec_prod_prod$': $tType ).

tff(type_def_6,type,
    'A_a_iarray_iarray_bool_fun_fun$': $tType ).

tff(type_def_7,type,
    'A_c_vec_c_vec$': $tType ).

tff(type_def_8,type,
    'A_nat_a_iarray_iarray_prod_prod$': $tType ).

tff(type_def_9,type,
    'A_a_prod$': $tType ).

tff(type_def_10,type,
    'A_iarray_iarray$': $tType ).

tff(type_def_11,type,
    'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$': $tType ).

tff(type_def_12,type,
    'A_a_c_vec_b_vec_prod$': $tType ).

tff(type_def_13,type,
    'Int_int_prod$': $tType ).

tff(type_def_14,type,
    'C_a_b_vec_bool_fun_fun$': $tType ).

tff(type_def_15,type,
    'A_c_vec_c_vec_a_b_vec_c_vec_prod$': $tType ).

tff(type_def_16,type,
    'A_a_b_vec_b_vec_prod$': $tType ).

tff(type_def_17,type,
    'Nat_a_iarray_bool_fun_fun$': $tType ).

tff(type_def_18,type,
    'A_a_iarray_iarray_prod$': $tType ).

tff(type_def_19,type,
    'Nat_a_c_vec_c_vec_prod$': $tType ).

tff(type_def_20,type,
    'A_a_b_vec_c_vec_bool_fun_fun$': $tType ).

tff(type_def_21,type,
    'Int_set$': $tType ).

tff(type_def_22,type,
    'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$': $tType ).

tff(type_def_23,type,
    'Int_int_fun$': $tType ).

tff(type_def_24,type,
    'A_b_vec_b_vec$': $tType ).

tff(type_def_25,type,
    'B$': $tType ).

tff(type_def_26,type,
    'A_b_vec_c_vec$': $tType ).

tff(type_def_27,type,
    'Nat_a_iarray_iarray_bool_fun_fun$': $tType ).

tff(type_def_28,type,
    'C_a_b_vec_fun$': $tType ).

tff(type_def_29,type,
    'A_c_vec_b_vec$': $tType ).

tff(type_def_30,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_31,type,
    'C$': $tType ).

tff(type_def_32,type,
    'Nat$': $tType ).

tff(type_def_33,type,
    'A_b_vec$': $tType ).

tff(type_def_34,type,
    'A_nat_a_iarray_iarray_prod_bool_fun_fun$': $tType ).

tff(type_def_35,type,
    'A_iarray_iarray_bool_fun$': $tType ).

tff(type_def_36,type,
    'B_a_fun$': $tType ).

tff(type_def_37,type,
    'Nat_a_b_vec_c_vec_prod_bool_fun$': $tType ).

tff(type_def_38,type,
    'A_nat_a_b_vec_b_vec_prod_prod$': $tType ).

tff(type_def_39,type,
    'A_nat_a_c_vec_b_vec_prod_prod$': $tType ).

tff(type_def_40,type,
    tlbool: $tType ).

tff(type_def_41,type,
    'A_b_vec_c_vec_bool_fun$': $tType ).

tff(type_def_42,type,
    'A_nat_a_c_vec_c_vec_prod_prod$': $tType ).

tff(type_def_43,type,
    'A_b_vec_b_vec_a_c_vec_b_vec_prod$': $tType ).

tff(type_def_44,type,
    'A_a_b_vec_c_vec_prod$': $tType ).

tff(type_def_45,type,
    'A_bool_fun$': $tType ).

tff(type_def_46,type,
    'Nat_a_iarray_iarray_prod$': $tType ).

tff(type_def_47,type,
    'A_c_vec_c_vec_a_c_vec_c_vec_prod$': $tType ).

tff(type_def_48,type,
    'A_int_prod$': $tType ).

tff(type_def_49,type,
    'A_set$': $tType ).

tff(type_def_50,type,
    'A_iarray_bool_fun$': $tType ).

tff(type_def_51,type,
    'A_nat_a_iarray_iarray_prod_prod_bool_fun$': $tType ).

tff(type_def_52,type,
    'A_c_vec$': $tType ).

tff(type_def_53,type,
    'Nat_a_b_vec_c_vec_bool_fun_fun$': $tType ).

tff(type_def_54,type,
    'A$': $tType ).

tff(type_def_55,type,
    'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$': $tType ).

tff(type_def_56,type,
    'Nat_a_c_vec_b_vec_prod$': $tType ).

tff(type_def_57,type,
    'Int_a_prod$': $tType ).

tff(type_def_58,type,
    'Nat_a_b_vec_c_vec_prod$': $tType ).

tff(type_def_59,type,
    'Nat_a_iarray_iarray_prod_bool_fun$': $tType ).

tff(type_def_60,type,
    'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$': $tType ).

tff(type_def_61,type,
    'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$': $tType ).

tff(type_def_62,type,
    'A_a_c_vec_c_vec_prod$': $tType ).

tff(type_def_63,type,
    'A_a_fun$': $tType ).

tff(type_def_64,type,
    'Nat_a_b_vec_b_vec_prod$': $tType ).

tff(type_def_65,type,
    'Nat_a_iarray_prod_bool_fun$': $tType ).

tff(type_def_66,type,
    'A_b_vec_c_vec_c_vec$': $tType ).

tff(type_def_67,type,
    'A_iarray$': $tType ).

tff(type_def_68,type,
    'A_b_vec_bool_fun$': $tType ).

tff(type_def_69,type,
    'Nat_a_iarray_prod$': $tType ).

tff(type_def_70,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_71,type,
    'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$': $tType ).

tff(type_def_72,type,
    'A_b_vec_b_vec_a_b_vec_b_vec_prod$': $tType ).

tff(type_def_73,type,
    'Nat_set$': $tType ).

tff(type_def_74,type,
    'B_a_bool_fun_fun$': $tType ).

tff(func_def_0,type,
    'gauss_Jordan_in_ij_det_P_iarrays$': ( 'A_iarray_iarray$' * 'Nat$' * 'Nat$' ) > 'A_a_iarray_iarray_prod$' ).

tff(func_def_1,type,
    'times$a': ( $int * $int ) > $int ).

tff(func_def_2,type,
    'snd$t': 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' > 'Nat_a_c_vec_b_vec_prod$' ).

tff(func_def_3,type,
    'zero$i': 'Int_a_prod$' ).

tff(func_def_4,type,
    'fun_app$r': ( 'Nat_a_iarray_bool_fun_fun$' * 'Nat$' ) > 'A_iarray_bool_fun$' ).

tff(func_def_5,type,
    'times$b': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_6,type,
    'pair$x': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).

tff(func_def_7,type,
    'snd$': 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_8,type,
    'plus$b': ( 'C$' * 'C$' ) > 'C$' ).

tff(func_def_9,type,
    'from_nat$a': 'Nat$' > 'B$' ).

tff(func_def_10,type,
    'fst$k': 'A_nat_a_c_vec_b_vec_prod_prod$' > 'A$' ).

tff(func_def_11,type,
    'uu$': 'A_a_fun$' ).

tff(func_def_12,type,
    'plus$c': ( 'B$' * 'B$' ) > 'B$' ).

tff(func_def_13,type,
    'nrows$c': 'A_b_vec_b_vec$' > 'Nat$' ).

tff(func_def_14,type,
    'uua$': 'Int_int_fun$' ).

tff(func_def_15,type,
    'pair$r': ( 'A_c_vec_c_vec$' * 'Nat_a_c_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' ).

tff(func_def_16,type,
    'pair$b': ( 'Nat$' * 'A_iarray$' ) > 'Nat_a_iarray_prod$' ).

tff(func_def_17,type,
    'uud$': 'A_a_fun$' ).

tff(func_def_18,type,
    'fst$e': 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).

tff(func_def_19,type,
    'gauss_Jordan_column_k_det_P_iarrays$': ( 'A_nat_a_iarray_iarray_prod_prod$' * 'Nat$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).

tff(func_def_20,type,
    'snd$c': 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).

tff(func_def_21,type,
    'fun_app$t': ( 'Nat_a_iarray_iarray_bool_fun_fun$' * 'Nat$' ) > 'A_iarray_iarray_bool_fun$' ).

tff(func_def_22,type,
    'uuf$': 'Int_int_fun$' ).

tff(func_def_23,type,
    'fun_app$l': ( 'B_a_bool_fun_fun$' * 'B$' ) > 'A_bool_fun$' ).

tff(func_def_24,type,
    'pair$u': ( 'A_b_vec_b_vec$' * 'A_c_vec_b_vec$' ) > 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' ).

tff(func_def_25,type,
    'pair$p': ( $int * 'A$' ) > 'Int_a_prod$' ).

tff(func_def_26,type,
    'pair$a': ( 'Nat$' * 'A_b_vec_c_vec$' ) > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_27,type,
    'fun_app$d': ( 'C_a_b_vec_fun$' * 'C$' ) > 'A_b_vec$' ).

tff(func_def_28,type,
    'fst$u': 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_29,type,
    'gauss_Jordan_in_ij_det_P$b': ( 'A_c_vec_b_vec$' * 'B$' * 'C$' ) > 'A_a_c_vec_b_vec_prod$' ).

tff(func_def_30,type,
    'zero$': 'Nat$' ).

tff(func_def_31,type,
    'gauss_Jordan_column_k_det_P$': ( 'A_nat_a_c_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_c_vec_c_vec_prod_prod$' ).

tff(func_def_32,type,
    'snd$e': 'A_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).

tff(func_def_33,type,
    'zero$j': 'Int_int_prod$' ).

tff(func_def_34,type,
    'times$': 'A$' > 'A_a_fun$' ).

tff(func_def_35,type,
    'fun_app$v': ( 'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$' * 'A$' ) > 'Nat_a_b_vec_c_vec_prod_bool_fun$' ).

tff(func_def_36,type,
    'fst$t': 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_37,type,
    'plus$q': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).

tff(func_def_38,type,
    'zero$a': 'A$' ).

tff(func_def_39,type,
    'row_add_iterate_PA$': ( 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' * 'Nat$' * 'C$' * 'B$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).

tff(func_def_40,type,
    'plus$o': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).

tff(func_def_41,type,
    'nrows$': 'A_b_vec_c_vec$' > 'Nat$' ).

tff(func_def_42,type,
    'plus$h': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).

tff(func_def_43,type,
    'plus$l': ( 'Nat_a_iarray_prod$' * 'Nat_a_iarray_prod$' ) > 'Nat_a_iarray_prod$' ).

tff(func_def_44,type,
    'fst$g': 'Nat_a_c_vec_c_vec_prod$' > 'Nat$' ).

tff(func_def_45,type,
    'zero$g': 'A_a_prod$' ).

tff(func_def_46,type,
    'plus$p': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).

tff(func_def_47,type,
    'snd$d': 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_48,type,
    'plus$n': ( 'Int_int_prod$' * 'Int_int_prod$' ) > 'Int_int_prod$' ).

tff(func_def_49,type,
    'vec_nth$f': ( 'A_b_vec_c_vec_c_vec$' * 'C$' ) > 'A_b_vec_c_vec$' ).

tff(func_def_50,type,
    'zero$d': 'A_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_51,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_52,type,
    'zero$f': 'C$' ).

tff(func_def_53,type,
    'gauss_Jordan_in_ij_PA$a': ( 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' * 'B$' * 'C$' ) > 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' ).

tff(func_def_54,type,
    'times$f': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).

tff(func_def_55,type,
    'upper_triangular_upt_k$a': 'A_b_vec_c_vec_c_vec$' > 'Nat_bool_fun$' ).

tff(func_def_56,type,
    'fun_app$n': ( 'C_a_b_vec_bool_fun_fun$' * 'C$' ) > 'A_b_vec_bool_fun$' ).

tff(func_def_57,type,
    'pair$h': ( 'Nat$' * 'A_c_vec_c_vec$' ) > 'Nat_a_c_vec_c_vec_prod$' ).

tff(func_def_58,type,
    'times$d': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).

tff(func_def_59,type,
    'uuc$': 'Nat_nat_fun$' ).

tff(func_def_60,type,
    'snd$x': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_61,type,
    'zero$b': 'A_a_b_vec_c_vec_prod$' ).

tff(func_def_62,type,
    'zero$e': 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_63,type,
    'snd$j': 'A_nat_a_c_vec_b_vec_prod_prod$' > 'Nat_a_c_vec_b_vec_prod$' ).

tff(func_def_64,type,
    'snd$n': 'Nat_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_65,type,
    'i$': 'Nat$' ).

tff(func_def_66,type,
    'one$c': 'B$' ).

tff(func_def_67,type,
    'fst$f': 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).

tff(func_def_68,type,
    'plus$i': ( 'A_nat_a_b_vec_c_vec_prod_prod$' * 'A_nat_a_b_vec_c_vec_prod_prod$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_69,type,
    'nrows$b': 'A_c_vec_b_vec$' > 'Nat$' ).

tff(func_def_70,type,
    'one$': 'A$' ).

tff(func_def_71,type,
    'snd$k': 'Nat_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).

tff(func_def_72,type,
    'nrows$a': 'A_c_vec_c_vec$' > 'Nat$' ).

tff(func_def_73,type,
    'gauss_Jordan_column_k_det_P$a': ( 'A_nat_a_c_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_c_vec_b_vec_prod_prod$' ).

tff(func_def_74,type,
    'fst$p': 'Int_int_prod$' > $int ).

tff(func_def_75,type,
    'vec_nth$c': ( 'A_c_vec_c_vec$' * 'C$' ) > 'A_c_vec$' ).

tff(func_def_76,type,
    'snd$s': 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_77,type,
    'upper_triangular_upt_k$': 'A_b_vec_b_vec$' > 'Nat_bool_fun$' ).

tff(func_def_78,type,
    'pair$o': ( 'A$' * $int ) > 'A_int_prod$' ).

tff(func_def_79,type,
    'snd$a': 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_80,type,
    'snd$i': 'A_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_81,type,
    'fst$v': 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_82,type,
    'nrows_iarray$': 'A_iarray_iarray$' > 'Nat$' ).

tff(func_def_83,type,
    tltrue: tlbool ).

tff(func_def_84,type,
    'gauss_Jordan_column_k_PA$a': ( 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' ).

tff(func_def_85,type,
    'plus$f': ( 'Nat_a_iarray_iarray_prod$' * 'Nat_a_iarray_iarray_prod$' ) > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_86,type,
    'map_matrix$': ( 'A_a_fun$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).

tff(func_def_87,type,
    'pair$s': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' ).

tff(func_def_88,type,
    'one$b': 'C$' ).

tff(func_def_89,type,
    'pair$j': ( 'Nat$' * 'A_c_vec_b_vec$' ) > 'Nat_a_c_vec_b_vec_prod$' ).

tff(func_def_90,type,
    'one$a': 'Nat$' ).

tff(func_def_91,type,
    'to_nat$a': 'B$' > 'Nat$' ).

tff(func_def_92,type,
    'plus$j': ( 'Nat_a_b_vec_c_vec_prod$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_93,type,
    'gauss_Jordan_column_k_PA$b': ( 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' ).

tff(func_def_94,type,
    'gauss_Jordan_in_ij_PA$': ( 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' * 'C$' * 'C$' ) > 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' ).

tff(func_def_95,type,
    'snd$g': 'A_nat_a_c_vec_c_vec_prod_prod$' > 'Nat_a_c_vec_c_vec_prod$' ).

tff(func_def_96,type,
    'fst$b': 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).

tff(func_def_97,type,
    'ncols$': 'A_b_vec_c_vec$' > 'Nat$' ).

tff(func_def_98,type,
    'fst$c': 'Nat_a_iarray_prod$' > 'Nat$' ).

tff(func_def_99,type,
    'fun_app$': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_100,type,
    'fst$j': 'Nat_a_c_vec_b_vec_prod$' > 'Nat$' ).

tff(func_def_101,type,
    'gauss_Jordan_in_ij_det_P$': ( 'A_b_vec_c_vec$' * 'C$' * 'B$' ) > 'A_a_b_vec_c_vec_prod$' ).

tff(func_def_102,type,
    'pair$n': ( 'A$' * 'A$' ) > 'A_a_prod$' ).

tff(func_def_103,type,
    'less$': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_104,type,
    'gauss_Jordan_column_k_PA$': ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_105,type,
    'fst$m': 'Nat_a_b_vec_b_vec_prod$' > 'Nat$' ).

tff(func_def_106,type,
    'fun_app$c': ( 'B_a_fun$' * 'B$' ) > 'A$' ).

tff(func_def_107,type,
    'gauss_Jordan_column_k_det_P$c': ( 'A_nat_a_b_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_108,type,
    'gauss_Jordan_column_k_PA$c': ( 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' ).

tff(func_def_109,type,
    'to_nat$': 'C$' > 'Nat$' ).

tff(func_def_110,type,
    'vector_all_zero_from_index$': 'Nat_a_iarray_prod_bool_fun$' ).

tff(func_def_111,type,
    'vec_nth$b': ( 'A_c_vec$' * 'C$' ) > 'A$' ).

tff(func_def_112,type,
    'snd$o': 'A_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_113,type,
    'snd$q': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_114,type,
    'snd$v': 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' > 'Nat_a_b_vec_b_vec_prod$' ).

tff(func_def_115,type,
    'fst$h': 'A_nat_a_c_vec_c_vec_prod_prod$' > 'A$' ).

tff(func_def_116,type,
    'fun_app$x': ( 'A_a_iarray_iarray_bool_fun_fun$' * 'A$' ) > 'A_iarray_iarray_bool_fun$' ).

tff(func_def_117,type,
    'one$e': 'A_b_vec_c_vec$' ).

tff(func_def_118,type,
    'fst$l': 'A_a_c_vec_b_vec_prod$' > 'A$' ).

tff(func_def_119,type,
    'times$g': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_120,type,
    'snd$r': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'Nat_a_c_vec_c_vec_prod$' ).

tff(func_def_121,type,
    'gauss_Jordan_in_ij_det_P$a': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'A_a_c_vec_c_vec_prod$' ).

tff(func_def_122,type,
    'zero$h': 'A_int_prod$' ).

tff(func_def_123,type,
    'fun_app$u': ( 'A_a_b_vec_c_vec_bool_fun_fun$' * 'A$' ) > 'A_b_vec_c_vec_bool_fun$' ).

tff(func_def_124,type,
    'pair$t': ( 'A_b_vec_b_vec$' * 'Nat_a_c_vec_b_vec_prod$' ) > 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' ).

tff(func_def_125,type,
    'column_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).

tff(func_def_126,type,
    'gauss_Jordan_in_ij_PA$b': ( 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' * 'B$' * 'B$' ) > 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' ).

tff(func_def_127,type,
    'fst$q': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_128,type,
    'zero$c': 'A_b_vec_c_vec$' ).

tff(func_def_129,type,
    'fst$w': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_130,type,
    'fst$': 'A_a_b_vec_c_vec_prod$' > 'A$' ).

tff(func_def_131,type,
    'plus$a': 'Nat$' > 'Nat_nat_fun$' ).

tff(func_def_132,type,
    'fst$r': 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_133,type,
    'one$d': 'A_b_vec$' ).

tff(func_def_134,type,
    'vec_nth$a': 'A_b_vec_c_vec$' > 'C_a_b_vec_fun$' ).

tff(func_def_135,type,
    'snd$u': 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).

tff(func_def_136,type,
    'fun_app$p': ( 'Nat_a_b_vec_c_vec_bool_fun_fun$' * 'Nat$' ) > 'A_b_vec_c_vec_bool_fun$' ).

tff(func_def_137,type,
    'snd$p': 'Int_int_prod$' > $int ).

tff(func_def_138,type,
    'pair$k': ( 'A$' * 'Nat_a_b_vec_b_vec_prod$' ) > 'A_nat_a_b_vec_b_vec_prod_prod$' ).

tff(func_def_139,type,
    'pair$': ( 'A$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_140,type,
    'plus$m': ( 'A_iarray$' * 'A_iarray$' ) > 'A_iarray$' ).

tff(func_def_141,type,
    'fst$s': 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_142,type,
    'plus$': 'A$' > 'A_a_fun$' ).

tff(func_def_143,type,
    'snd$w': 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).

tff(func_def_144,type,
    'plus$d': ( 'A_a_b_vec_c_vec_prod$' * 'A_a_b_vec_c_vec_prod$' ) > 'A_a_b_vec_c_vec_prod$' ).

tff(func_def_145,type,
    'pair$d': ( 'Nat$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_146,type,
    'less_eq$a': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_147,type,
    tlfalse: tlbool ).

tff(func_def_148,type,
    'pair$i': ( 'A$' * 'Nat_a_c_vec_b_vec_prod$' ) > 'A_nat_a_c_vec_b_vec_prod_prod$' ).

tff(func_def_149,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_150,type,
    'fst$a': 'A_a_iarray_iarray_prod$' > 'A$' ).

tff(func_def_151,type,
    'plus$g': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).

tff(func_def_152,type,
    'pair$q': ( 'A_c_vec_c_vec$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).

tff(func_def_153,type,
    'snd$f': 'Nat_a_iarray_prod$' > 'A_iarray$' ).

tff(func_def_154,type,
    'zero$k': 'B$' ).

tff(func_def_155,type,
    'pair$f': ( 'A$' * 'A_iarray_iarray$' ) > 'A_a_iarray_iarray_prod$' ).

tff(func_def_156,type,
    'uug$': 'Nat_nat_fun$' ).

tff(func_def_157,type,
    'matrix_to_iarray$': 'A_b_vec_c_vec$' > 'A_iarray_iarray$' ).

tff(func_def_158,type,
    'plus$e': ( 'A_a_iarray_iarray_prod$' * 'A_a_iarray_iarray_prod$' ) > 'A_a_iarray_iarray_prod$' ).

tff(func_def_159,type,
    'vec_nth$': 'A_b_vec$' > 'B_a_fun$' ).

tff(func_def_160,type,
    'uue$': 'Int_int_fun$' ).

tff(func_def_161,type,
    'fst$o': 'A_a_b_vec_b_vec_prod$' > 'A$' ).

tff(func_def_162,type,
    'snd$h': 'Nat_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_163,type,
    'times$c': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).

tff(func_def_164,type,
    'fun_app$w': ( 'A_nat_a_iarray_iarray_prod_bool_fun_fun$' * 'A$' ) > 'Nat_a_iarray_iarray_prod_bool_fun$' ).

tff(func_def_165,type,
    'gauss_Jordan_column_k_det_P$b': ( 'A_nat_a_b_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_b_vec_b_vec_prod_prod$' ).

tff(func_def_166,type,
    'pair$c': ( 'A$' * 'Nat_a_iarray_iarray_prod$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).

tff(func_def_167,type,
    'fun_app$b': ( 'A_a_fun$' * 'A$' ) > 'A$' ).

tff(func_def_168,type,
    'gauss_Jordan_in_ij_det_P$c': ( 'A_b_vec_b_vec$' * 'B$' * 'B$' ) > 'A_a_b_vec_b_vec_prod$' ).

tff(func_def_169,type,
    'times$e': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).

tff(func_def_170,type,
    'fun_app$a': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_171,type,
    'vec_nth$e': ( 'A_b_vec_b_vec$' * 'B$' ) > 'A_b_vec$' ).

tff(func_def_172,type,
    'fst$i': 'A_a_c_vec_c_vec_prod$' > 'A$' ).

tff(func_def_173,type,
    'from_nat$': 'Nat$' > 'C$' ).

tff(func_def_174,type,
    'fst$d': 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).

tff(func_def_175,type,
    'plus$k': ( 'A_nat_a_iarray_iarray_prod_prod$' * 'A_nat_a_iarray_iarray_prod_prod$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).

tff(func_def_176,type,
    'fst$n': 'A_nat_a_b_vec_b_vec_prod_prod$' > 'A$' ).

tff(func_def_177,type,
    'pair$m': ( $int * $int ) > 'Int_int_prod$' ).

tff(func_def_178,type,
    'n$': 'A$' ).

tff(func_def_179,type,
    'fst$x': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).

tff(func_def_180,type,
    'a$': 'A_b_vec_c_vec$' ).

tff(func_def_181,type,
    'zero$l': 'A_b_vec$' ).

tff(func_def_182,type,
    'gauss_Jordan_in_ij_PA$c': ( 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' * 'C$' * 'B$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).

tff(func_def_183,type,
    'pair$l': ( 'Nat$' * 'A_b_vec_b_vec$' ) > 'Nat_a_b_vec_b_vec_prod$' ).

tff(func_def_184,type,
    'snd$l': 'A_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).

tff(func_def_185,type,
    'pair$e': ( 'A$' * 'A_b_vec_c_vec$' ) > 'A_a_b_vec_c_vec_prod$' ).

tff(func_def_186,type,
    'snd$m': 'A_nat_a_b_vec_b_vec_prod_prod$' > 'Nat_a_b_vec_b_vec_prod$' ).

tff(func_def_187,type,
    'pair$g': ( 'A$' * 'Nat_a_c_vec_c_vec_prod$' ) > 'A_nat_a_c_vec_c_vec_prod_prod$' ).

tff(func_def_188,type,
    'vec_nth$d': ( 'A_c_vec_b_vec$' * 'B$' ) > 'A_c_vec$' ).

tff(func_def_189,type,
    'snd$b': 'A_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_190,type,
    'pair$w': ( 'A_b_vec_b_vec$' * 'A_b_vec_b_vec$' ) > 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' ).

tff(func_def_191,type,
    'k$': 'Nat$' ).

tff(func_def_192,type,
    'uub$': 'Int_int_fun$' ).

tff(func_def_193,type,
    'pair$v': ( 'A_b_vec_b_vec$' * 'Nat_a_b_vec_b_vec_prod$' ) > 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' ).

tff(func_def_199,type,
    sK2: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_200,type,
    sK3: 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_201,type,
    sK4: 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A$' ).

tff(func_def_202,type,
    sK5: ( $int * 'Int_set$' * 'Int_set$' ) > $int ).

tff(func_def_203,type,
    sK6: ( $int * 'Int_set$' * 'Int_set$' ) > $int ).

tff(func_def_204,type,
    sK7: 'Nat_a_iarray_prod$' > 'Nat$' ).

tff(func_def_205,type,
    sK8: 'Nat_a_iarray_prod$' > 'A_iarray$' ).

tff(func_def_206,type,
    sK9: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).

tff(func_def_207,type,
    sK10: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_208,type,
    sK11: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_209,type,
    sK12: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_210,type,
    sK13: ( 'Nat$' * 'A_nat_a_c_vec_b_vec_prod_prod$' ) > 'B$' ).

tff(func_def_211,type,
    sK14: 'B_a_bool_fun_fun$' > 'A_b_vec$' ).

tff(func_def_212,type,
    sK15: 'B_a_bool_fun_fun$' > 'B$' ).

tff(func_def_213,type,
    sK16: ( 'B_a_bool_fun_fun$' * 'B$' ) > 'A$' ).

tff(func_def_214,type,
    sK17: ( 'B_a_bool_fun_fun$' * 'A_b_vec$' ) > 'B$' ).

tff(func_def_215,type,
    sK18: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat$' ).

tff(func_def_216,type,
    sK19: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_217,type,
    sK20: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).

tff(func_def_218,type,
    sK21: ( 'Nat$' * 'A_b_vec_b_vec$' ) > 'B$' ).

tff(func_def_219,type,
    sK22: ( 'Nat$' * 'A_b_vec_b_vec$' ) > 'B$' ).

tff(func_def_220,type,
    sK23: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'Nat$' ).

tff(func_def_221,type,
    sK24: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'A_iarray_iarray$' ).

tff(func_def_222,type,
    sK25: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_223,type,
    sK26: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).

tff(func_def_224,type,
    sK27: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_225,type,
    sK28: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).

tff(func_def_226,type,
    sK29: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_227,type,
    sK30: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_228,type,
    sK31: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_229,type,
    sK32: ( 'Nat$' * 'A_nat_a_b_vec_c_vec_prod_prod$' ) > 'C$' ).

tff(func_def_230,type,
    sK33: 'Nat_a_iarray_prod$' > 'A_iarray$' ).

tff(func_def_231,type,
    sK34: 'Nat_a_iarray_prod$' > 'Nat$' ).

tff(func_def_232,type,
    sK35: 'C_a_b_vec_bool_fun_fun$' > 'A_b_vec_c_vec$' ).

tff(func_def_233,type,
    sK36: 'C_a_b_vec_bool_fun_fun$' > 'C$' ).

tff(func_def_234,type,
    sK37: ( 'C_a_b_vec_bool_fun_fun$' * 'C$' ) > 'A_b_vec$' ).

tff(func_def_235,type,
    sK38: ( 'C_a_b_vec_bool_fun_fun$' * 'A_b_vec_c_vec$' ) > 'C$' ).

tff(func_def_236,type,
    sK39: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_237,type,
    sK40: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).

tff(func_def_238,type,
    sK41: 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A$' ).

tff(func_def_239,type,
    sK42: 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat_a_iarray_iarray_prod$' ).

tff(func_def_240,type,
    sK43: ( 'Nat$' * 'A_nat_a_c_vec_c_vec_prod_prod$' ) > 'C$' ).

tff(func_def_241,type,
    sK44: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_242,type,
    sK45: ( 'Int_set$' * $int * 'Int_set$' ) > $int ).

tff(func_def_243,type,
    sK46: ( 'Int_set$' * $int * 'Int_set$' ) > $int ).

tff(func_def_244,type,
    sK47: ( 'Nat$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > 'C$' ).

tff(func_def_245,type,
    sK48: 'Nat_a_iarray_prod_bool_fun$' > 'A_iarray$' ).

tff(func_def_246,type,
    sK49: 'Nat_a_iarray_prod_bool_fun$' > 'Nat$' ).

tff(func_def_247,type,
    sK50: ( 'Nat$' * 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' ) > 'B$' ).

tff(func_def_248,type,
    sK51: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).

tff(func_def_249,type,
    sK52: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).

tff(func_def_250,type,
    sK53: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).

tff(func_def_251,type,
    sK54: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).

tff(func_def_252,type,
    sK55: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_253,type,
    sK56: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).

tff(func_def_254,type,
    sK57: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).

tff(func_def_255,type,
    sK58: ( 'A_b_vec$' * 'A_b_vec$' ) > 'B$' ).

tff(func_def_256,type,
    sK59: ( 'Nat_set$' * 'Nat$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_257,type,
    sK60: ( 'Nat_set$' * 'Nat$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_258,type,
    sK61: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat$' ).

tff(func_def_259,type,
    sK62: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).

tff(func_def_260,type,
    sK63: 'A_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).

tff(func_def_261,type,
    sK64: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_262,type,
    sK65: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_263,type,
    sK66: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_264,type,
    sK67: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_265,type,
    sK68: ( 'A_set$' * 'A$' * 'A_set$' ) > 'A$' ).

tff(func_def_266,type,
    sK69: ( 'A_set$' * 'A$' * 'A_set$' ) > 'A$' ).

tff(func_def_267,type,
    sK70: ( 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' * 'Nat$' ) > 'B$' ).

tff(func_def_268,type,
    sK71: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).

tff(func_def_269,type,
    sK72: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).

tff(func_def_270,type,
    sK73: ( 'A_nat_a_b_vec_b_vec_prod_prod$' * 'Nat$' ) > 'B$' ).

tff(func_def_271,type,
    sK74: ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C$' ).

tff(func_def_272,type,
    sK75: ( 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' * 'Nat$' ) > 'C$' ).

tff(func_def_273,type,
    sK76: 'C$' ).

tff(func_def_274,type,
    sK77: 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A$' ).

tff(func_def_275,type,
    sK78: 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_b_vec_c_vec$' ).

tff(func_def_276,type,
    sK79: 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_277,type,
    sK80: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_278,type,
    sK81: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'A_b_vec_c_vec$' ).

tff(func_def_279,type,
    sK82: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'Nat$' ).

tff(func_def_280,type,
    sK83: 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).

tff(func_def_281,type,
    sK84: 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A$' ).

tff(func_def_282,type,
    sK85: 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_283,type,
    sK86: ( 'Nat$' * 'A_b_vec_c_vec_c_vec$' ) > 'C$' ).

tff(func_def_284,type,
    sK87: ( 'Nat$' * 'A_b_vec_c_vec_c_vec$' ) > 'C$' ).

tff(pred_def_1,type,
    'upper_triangular$': 'A_b_vec_b_vec$' > $o ).

tff(pred_def_2,type,
    'less_eq$c': ( 'A_set$' * 'A_set$' ) > $o ).

tff(pred_def_3,type,
    'fun_app$i': ( 'Nat_a_iarray_iarray_prod_bool_fun$' * 'Nat_a_iarray_iarray_prod$' ) > $o ).

tff(pred_def_4,type,
    'divides_aux$': 'Int_int_prod$' > $o ).

tff(pred_def_5,type,
    'less_eq$b': ( 'B$' * 'B$' ) > $o ).

tff(pred_def_6,type,
    'fun_app$k': ( 'A_bool_fun$' * 'A$' ) > $o ).

tff(pred_def_7,type,
    'fun_app$g': ( 'Nat_a_b_vec_c_vec_prod_bool_fun$' * 'Nat_a_b_vec_c_vec_prod$' ) > $o ).

tff(pred_def_8,type,
    'fun_app$o': ( 'A_b_vec_c_vec_bool_fun$' * 'A_b_vec_c_vec$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$s': ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray$' ) > $o ).

tff(pred_def_10,type,
    'fun_app$f': ( 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' * 'A_nat_a_b_vec_c_vec_prod_prod$' ) > $o ).

tff(pred_def_11,type,
    'fun_app$h': ( 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' * 'A_nat_a_iarray_iarray_prod_prod$' ) > $o ).

tff(pred_def_12,type,
    'upper_triangular$a': 'A_b_vec_c_vec_c_vec$' > $o ).

tff(pred_def_13,type,
    'less$a': ( 'C$' * 'C$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$e': ( 'Nat_a_iarray_prod_bool_fun$' * 'Nat_a_iarray_prod$' ) > $o ).

tff(pred_def_15,type,
    'member$b': ( 'Nat$' * 'Nat_set$' ) > $o ).

tff(pred_def_16,type,
    'fun_app$j': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_17,type,
    'less$b': ( 'B$' * 'B$' ) > $o ).

tff(pred_def_18,type,
    'fun_app$q': ( 'A_iarray_bool_fun$' * 'A_iarray$' ) > $o ).

tff(pred_def_19,type,
    'member$a': ( 'A$' * 'A_set$' ) > $o ).

tff(pred_def_20,type,
    'less_eq$d': ( 'Int_set$' * 'Int_set$' ) > $o ).

tff(pred_def_21,type,
    'member$': ( $int * 'Int_set$' ) > $o ).

tff(pred_def_22,type,
    'less_eq$': ( 'C$' * 'C$' ) > $o ).

tff(pred_def_23,type,
    'fun_app$m': ( 'A_b_vec_bool_fun$' * 'A_b_vec$' ) > $o ).

tff(f3712,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3526,f3551,f3711]) ).

tff(f3711,plain,
    spl88_4,
    inference(avatar_contradiction_clause,[],[f3710]) ).

tff(f3710,plain,
    ( $false
    | spl88_4 ),
    inference(subsumption_resolution,[],[f3583,f2729]) ).

tff(f2729,plain,
    ~ $less('of_nat$'('nrows$'('a$')),'of_nat$'('i$')),
    inference(cnf_transformation,[],[f749]) ).

tff(f749,plain,
    ~ $less('of_nat$'('nrows$'('a$')),'of_nat$'('i$')),
    inference(theory_normalization,[],[f11]) ).

tff(f11,axiom,
    $lesseq('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom9) ).

tff(f3583,plain,
    ( $less('of_nat$'('nrows$'('a$')),'of_nat$'('i$'))
    | spl88_4 ),
    inference(unit_resulting_resolution,[],[f2838,f3550,f2863]) ).

tff(f2863,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f2022]) ).

tff(f2022,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | ( X0 = X1 )
      | $less(X1,X0) ),
    inference(rectify,[],[f1551]) ).

tff(f1551,plain,
    ! [X1: $int,X0: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    inference(ennf_transformation,[],[f1126]) ).

tff(f1126,plain,
    ! [X0: $int,X1: $int] :
      ~ ( ~ $less(X1,X0)
        & ( X0 != X1 )
        & ~ $less(X0,X1) ),
    inference(flattening,[],[f1125]) ).

tff(f1125,plain,
    ! [X0: $int,X1: $int] :
      ~ ( ( X0 != X1 )
        & ~ $less(X0,X1)
        & ~ $less(X1,X0) ),
    inference(true_and_false_elimination,[],[f1124]) ).

tff(f1124,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( X0 != X1 )
        & ( $less(X0,X1)
         => $false )
        & ( $less(X1,X0)
         => $false ) )
     => $false ),
    inference(rectify,[],[f92]) ).

tff(f92,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ( X0 != X1 )
        & ( $less(X1,X0)
         => $false )
        & ( $less(X0,X1)
         => $false ) )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom90) ).

tff(f3550,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | spl88_4 ),
    inference(avatar_component_clause,[],[f3548]) ).

tff(f3548,plain,
    ( spl88_4
  <=> ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl88_4])]) ).

tff(f2838,plain,
    ~ $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,axiom,
    ~ $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom10) ).

tff(f3551,plain,
    ( ~ spl88_4
    | spl88_2 ),
    inference(avatar_split_clause,[],[f3219,f3338,f3548]) ).

tff(f3338,plain,
    ( spl88_2
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl88_2])]) ).

tff(f3219,plain,
    ( sP1
    | ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) ),
    inference(cnf_transformation,[],[f2254]) ).

tff(f2254,plain,
    ( ( sP0
      & ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),sK76)),'from_nat$a'('k$')) )
      & 'less_eq$'('from_nat$'('i$'),sK76)
      & ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) )
    | sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK76])],[f1643,f2253]) ).

tff(f2253,plain,
    ( ? [X0: 'C$'] :
        ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
        & 'less_eq$'('from_nat$'('i$'),X0) )
   => ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),sK76)),'from_nat$a'('k$')) )
      & 'less_eq$'('from_nat$'('i$'),sK76) ) ),
    introduced(choice_axiom,[]) ).

tff(f1643,plain,
    ( ( sP0
      & ? [X0: 'C$'] :
          ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
          & 'less_eq$'('from_nat$'('i$'),X0) )
      & ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) )
    | sP1 ),
    inference(definition_folding,[],[f1349,f1642,f1641]) ).

tff(f1641,plain,
    ( ( ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
      & ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
      & ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
    | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
        | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
      & ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f1642,plain,
    ( ( ( ( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) )
      & ( ! [X1: 'C$'] :
            ( ~ 'less_eq$'('from_nat$'('i$'),X1)
            | ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) )
        | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f1349,plain,
    ( ( ( ( ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
          & ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) )
      & ? [X0: 'C$'] :
          ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
          & 'less_eq$'('from_nat$'('i$'),X0) )
      & ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) )
    | ( ( ( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) )
      & ( ! [X1: 'C$'] :
            ( ~ 'less_eq$'('from_nat$'('i$'),X1)
            | ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) )
        | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ) ) ),
    inference(flattening,[],[f1348]) ).

tff(f1348,plain,
    ( ( ( ( ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) )
      & ? [X0: 'C$'] :
          ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
          & 'less_eq$'('from_nat$'('i$'),X0) )
      & ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) )
    | ( ( ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) )
        | ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) ) )
      & ( ! [X1: 'C$'] :
            ( ~ 'less_eq$'('from_nat$'('i$'),X1)
            | ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) )
        | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ) ) ),
    inference(ennf_transformation,[],[f877]) ).

tff(f877,plain,
    ~ ( ( ~ ( ! [X0: 'C$'] :
                ( 'less_eq$'('from_nat$'('i$'),X0)
               => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) )
            | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) )
       => ( ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
                | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
           => ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
          & ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
              | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
           => ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
      & ( ( ! [X1: 'C$'] :
              ( 'less_eq$'('from_nat$'('i$'),X1)
             => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) )
          | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) )
       => ( ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
              | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
           => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) )
          & ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
                | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
           => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) ) ) ) ),
    inference(rectify,[],[f10]) ).

tff(f10,negated_conjecture,
    ~ ( ( ~ ( ! [X0: 'C$'] :
                ( 'less_eq$'('from_nat$'('i$'),X0)
               => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) )
            | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) )
       => ( ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
                | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
           => ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
          & ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
              | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
           => ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
      & ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
          | ! [X0: 'C$'] :
              ( 'less_eq$'('from_nat$'('i$'),X0)
             => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
       => ( ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
              | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
           => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) )
          & ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
                | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
           => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) ) ) ) ),
    inference(negated_conjecture,[],[f9]) ).

tff(f9,conjecture,
    ( ( ~ ( ! [X0: 'C$'] :
              ( 'less_eq$'('from_nat$'('i$'),X0)
             => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) )
          | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) )
     => ( ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
              | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
         => ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
        & ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
         => ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
    & ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
        | ! [X0: 'C$'] :
            ( 'less_eq$'('from_nat$'('i$'),X0)
           => ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
     => ( ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
         => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) )
        & ( ~ ( 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
              | ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) ) )
         => ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture8) ).

tff(f3526,plain,
    ~ spl88_2,
    inference(avatar_contradiction_clause,[],[f3525]) ).

tff(f3525,plain,
    ( $false
    | ~ spl88_2 ),
    inference(subsumption_resolution,[],[f3380,f2838]) ).

tff(f3380,plain,
    ( $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$')))
    | ~ spl88_2 ),
    inference(unit_resulting_resolution,[],[f2729,f3349,f3004]) ).

tff(f3004,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( $less('of_nat$'(X0),'of_nat$'(X1))
      | $less('of_nat$'(X1),'of_nat$'(X0))
      | ( 'of_nat$'(X0) = 'of_nat$'(X1) ) ),
    inference(cnf_transformation,[],[f2114]) ).

tff(f2114,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( ( 'of_nat$'(X0) = 'of_nat$'(X1) )
        | $less('of_nat$'(X0),'of_nat$'(X1))
        | $less('of_nat$'(X1),'of_nat$'(X0)) )
      & ( ~ $less('of_nat$'(X1),'of_nat$'(X0))
        | ( ( 'of_nat$'(X0) != 'of_nat$'(X1) )
          & ~ $less('of_nat$'(X0),'of_nat$'(X1)) ) ) ),
    inference(flattening,[],[f2113]) ).

tff(f2113,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( ( 'of_nat$'(X0) = 'of_nat$'(X1) )
        | $less('of_nat$'(X0),'of_nat$'(X1))
        | $less('of_nat$'(X1),'of_nat$'(X0)) )
      & ( ~ $less('of_nat$'(X1),'of_nat$'(X0))
        | ( ( 'of_nat$'(X0) != 'of_nat$'(X1) )
          & ~ $less('of_nat$'(X0),'of_nat$'(X1)) ) ) ),
    inference(nnf_transformation,[],[f647]) ).

tff(f647,plain,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( ( 'of_nat$'(X0) = 'of_nat$'(X1) )
        | $less('of_nat$'(X0),'of_nat$'(X1)) )
    <=> ~ $less('of_nat$'(X1),'of_nat$'(X0)) ),
    inference(theory_normalization,[],[f497]) ).

tff(f497,axiom,
    ! [X0: 'Nat$',X1: 'Nat$'] :
      ( ( ( 'of_nat$'(X0) = 'of_nat$'(X1) )
        | $less('of_nat$'(X0),'of_nat$'(X1)) )
    <=> $lesseq('of_nat$'(X0),'of_nat$'(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom495) ).

tff(f3349,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ~ spl88_2 ),
    inference(trivial_inequality_removal,[],[f3348]) ).

tff(f3348,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('a$') )
    | ~ spl88_2 ),
    inference(forward_demodulation,[],[f3347,f2824]) ).

tff(f2824,plain,
    ! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'snd$'('pair$a'(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f273]) ).

tff(f273,axiom,
    ! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'snd$'('pair$a'(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom271) ).

tff(f3347,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('snd$'('pair$a'('i$','a$'))) )
    | ~ spl88_2 ),
    inference(forward_demodulation,[],[f3346,f3235]) ).

tff(f3235,plain,
    ! [X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$a'('pair$'(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f2262]) ).

tff(f2262,plain,
    ! [X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$a'('pair$'(X0,X1)) = X1 ),
    inference(rectify,[],[f878]) ).

tff(f878,plain,
    ! [X1: 'A$',X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$a'('pair$'(X1,X0)) = X0 ),
    inference(rectify,[],[f277]) ).

tff(f277,axiom,
    ! [X1: 'Nat_a_b_vec_c_vec_prod$',X0: 'A$'] : ( 'snd$a'('pair$'(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom275) ).

tff(f3346,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) )
    | ~ spl88_2 ),
    inference(forward_demodulation,[],[f3345,f2715]) ).

tff(f2715,plain,
    ! [X0: 'Nat$',X1: 'A_iarray_iarray$'] : ( 'snd$c'('pair$d'(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f1933]) ).

tff(f1933,plain,
    ! [X0: 'Nat$',X1: 'A_iarray_iarray$'] : ( 'snd$c'('pair$d'(X0,X1)) = X1 ),
    inference(rectify,[],[f1061]) ).

tff(f1061,plain,
    ! [X1: 'Nat$',X0: 'A_iarray_iarray$'] : ( 'snd$c'('pair$d'(X1,X0)) = X0 ),
    inference(rectify,[],[f275]) ).

tff(f275,axiom,
    ! [X1: 'A_iarray_iarray$',X0: 'Nat$'] : ( 'snd$c'('pair$d'(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom273) ).

tff(f3345,plain,
    ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('pair$d'('i$','matrix_to_iarray$'('a$'))) )
    | ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ~ spl88_2 ),
    inference(forward_demodulation,[],[f3344,f2466]) ).

tff(f2466,plain,
    ! [X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$'] : ( 'snd$d'('pair$c'(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f1754]) ).

tff(f1754,plain,
    ! [X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$'] : ( 'snd$d'('pair$c'(X0,X1)) = X1 ),
    inference(rectify,[],[f1143]) ).

tff(f1143,plain,
    ! [X1: 'A$',X0: 'Nat_a_iarray_iarray_prod$'] : ( 'snd$d'('pair$c'(X1,X0)) = X0 ),
    inference(rectify,[],[f278]) ).

tff(f278,axiom,
    ! [X1: 'Nat_a_iarray_iarray_prod$',X0: 'A$'] : ( 'snd$d'('pair$c'(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom276) ).

tff(f3344,plain,
    ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
    | ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
    | ~ spl88_2 ),
    inference(forward_demodulation,[],[f3343,f3291]) ).

tff(f3291,plain,
    ! [X0: 'A_b_vec_c_vec$'] : ( 'of_nat$'('nrows$'(X0)) = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'(X0))) ),
    inference(cnf_transformation,[],[f573]) ).

tff(f573,axiom,
    ! [X0: 'A_b_vec_c_vec$'] : ( 'of_nat$'('nrows$'(X0)) = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom571) ).

tff(f3343,plain,
    ( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
    | ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
    | ~ spl88_2 ),
    inference(resolution,[],[f3340,f3211]) ).

tff(f3211,plain,
    ( ~ sP1
    | ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
    | ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ),
    inference(cnf_transformation,[],[f2251]) ).

tff(f2251,plain,
    ( ( ( ( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) )
      & ( ! [X0: 'C$'] :
            ( ~ 'less_eq$'('from_nat$'('i$'),X0)
            | ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) )
        | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ) )
    | ~ sP1 ),
    inference(rectify,[],[f2250]) ).

tff(f2250,plain,
    ( ( ( ( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
          & ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$'))))
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
        | ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
            | 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
          & ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) )
      & ( ! [X1: 'C$'] :
            ( ~ 'less_eq$'('from_nat$'('i$'),X1)
            | ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) )
        | ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) ) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f1642]) ).

tff(f3340,plain,
    ( sP1
    | ~ spl88_2 ),
    inference(avatar_component_clause,[],[f3338]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 00:29:35 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.22/0.54  % (25893)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.22/0.55  % (25910)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.56  % (25892)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.27/0.56  % (25902)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.56  % (25899)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.57  % (25899)Instruction limit reached!
% 1.27/0.57  % (25899)------------------------------
% 1.27/0.57  % (25899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.57  % (25899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.57  % (25899)Termination reason: Unknown
% 1.27/0.57  % (25899)Termination phase: shuffling
% 1.27/0.57  
% 1.27/0.57  % (25899)Memory used [KB]: 1663
% 1.27/0.57  % (25899)Time elapsed: 0.003 s
% 1.27/0.57  % (25899)Instructions burned: 3 (million)
% 1.27/0.57  % (25899)------------------------------
% 1.27/0.57  % (25899)------------------------------
% 1.27/0.57  % (25909)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.27/0.57  % (25916)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.27/0.57  % (25889)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.57  % (25898)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.27/0.57  % (25889)Instruction limit reached!
% 1.27/0.57  % (25889)------------------------------
% 1.27/0.57  % (25889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.57  % (25889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.57  % (25889)Termination reason: Unknown
% 1.27/0.57  % (25889)Termination phase: shuffling
% 1.27/0.57  
% 1.27/0.57  % (25889)Memory used [KB]: 1663
% 1.27/0.57  % (25889)Time elapsed: 0.004 s
% 1.27/0.57  % (25889)Instructions burned: 3 (million)
% 1.27/0.57  % (25889)------------------------------
% 1.27/0.57  % (25889)------------------------------
% 1.27/0.57  % (25892)Instruction limit reached!
% 1.27/0.57  % (25892)------------------------------
% 1.27/0.57  % (25892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.57  % (25907)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.27/0.57  % (25902)Instruction limit reached!
% 1.27/0.57  % (25902)------------------------------
% 1.27/0.57  % (25902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.57  % (25902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.57  % (25902)Termination reason: Unknown
% 1.27/0.57  % (25902)Termination phase: shuffling
% 1.27/0.57  
% 1.27/0.57  % (25902)Memory used [KB]: 1663
% 1.27/0.57  % (25902)Time elapsed: 0.005 s
% 1.27/0.57  % (25914)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.27/0.57  % (25902)Instructions burned: 2 (million)
% 1.27/0.57  % (25902)------------------------------
% 1.27/0.57  % (25902)------------------------------
% 1.27/0.57  % (25901)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.58  % (25894)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.27/0.58  % (25906)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.58  % (25906)Instruction limit reached!
% 1.27/0.58  % (25906)------------------------------
% 1.27/0.58  % (25906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.58  % (25892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.58  % (25892)Termination reason: Unknown
% 1.27/0.58  % (25892)Termination phase: Property scanning
% 1.27/0.58  
% 1.27/0.58  % (25892)Memory used [KB]: 1663
% 1.27/0.58  % (25892)Time elapsed: 0.010 s
% 1.27/0.58  % (25892)Instructions burned: 15 (million)
% 1.27/0.58  % (25892)------------------------------
% 1.27/0.58  % (25892)------------------------------
% 1.47/0.58  % (25893)Instruction limit reached!
% 1.47/0.58  % (25893)------------------------------
% 1.47/0.58  % (25893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (25893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (25893)Termination reason: Unknown
% 1.47/0.58  % (25893)Termination phase: Naming
% 1.47/0.58  
% 1.47/0.58  % (25893)Memory used [KB]: 1918
% 1.47/0.58  % (25893)Time elapsed: 0.019 s
% 1.47/0.58  % (25893)Instructions burned: 33 (million)
% 1.47/0.58  % (25893)------------------------------
% 1.47/0.58  % (25893)------------------------------
% 1.47/0.58  % (25898)Instruction limit reached!
% 1.47/0.58  % (25898)------------------------------
% 1.47/0.58  % (25898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (25898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (25898)Termination reason: Unknown
% 1.47/0.58  % (25898)Termination phase: Property scanning
% 1.47/0.58  
% 1.47/0.58  % (25898)Memory used [KB]: 1663
% 1.47/0.58  % (25898)Time elapsed: 0.005 s
% 1.47/0.58  % (25898)Instructions burned: 4 (million)
% 1.47/0.58  % (25898)------------------------------
% 1.47/0.58  % (25898)------------------------------
% 1.47/0.58  % (25908)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.47/0.58  % (25891)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.47/0.58  % (25888)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.47/0.58  % (25886)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.47/0.58  % (25907)Instruction limit reached!
% 1.47/0.58  % (25907)------------------------------
% 1.47/0.58  % (25907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (25897)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.47/0.58  % (25896)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.58  % (25896)Instruction limit reached!
% 1.47/0.58  % (25896)------------------------------
% 1.47/0.58  % (25896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (25896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (25896)Termination reason: Unknown
% 1.47/0.58  % (25896)Termination phase: shuffling
% 1.47/0.58  
% 1.47/0.58  % (25896)Memory used [KB]: 1535
% 1.47/0.58  % (25896)Time elapsed: 0.003 s
% 1.47/0.58  % (25896)Instructions burned: 2 (million)
% 1.47/0.58  % (25896)------------------------------
% 1.47/0.58  % (25896)------------------------------
% 1.47/0.58  % (25915)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.47/0.58  % (25907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (25907)Termination reason: Unknown
% 1.47/0.58  % (25907)Termination phase: Property scanning
% 1.47/0.58  
% 1.47/0.58  % (25907)Memory used [KB]: 1663
% 1.47/0.58  % (25907)Time elapsed: 0.010 s
% 1.47/0.58  % (25907)Instructions burned: 16 (million)
% 1.47/0.58  % (25907)------------------------------
% 1.47/0.58  % (25907)------------------------------
% 1.47/0.59  % (25895)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.47/0.59  % (25900)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.47/0.59  % (25906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59  % (25906)Termination reason: Unknown
% 1.47/0.59  % (25906)Termination phase: shuffling
% 1.47/0.59  
% 1.47/0.59  % (25906)Memory used [KB]: 1535
% 1.47/0.59  % (25906)Time elapsed: 0.003 s
% 1.47/0.59  % (25906)Instructions burned: 2 (million)
% 1.47/0.59  % (25906)------------------------------
% 1.47/0.59  % (25906)------------------------------
% 1.47/0.59  % (25912)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.47/0.59  % (25913)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.47/0.59  % (25887)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.47/0.59  % (25904)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.60  % (25894)Instruction limit reached!
% 1.47/0.60  % (25894)------------------------------
% 1.47/0.60  % (25894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (25894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (25894)Termination reason: Unknown
% 1.47/0.60  % (25894)Termination phase: Preprocessing 3
% 1.47/0.60  
% 1.47/0.60  % (25894)Memory used [KB]: 2174
% 1.47/0.60  % (25894)Time elapsed: 0.016 s
% 1.47/0.60  % (25894)Instructions burned: 36 (million)
% 1.47/0.60  % (25894)------------------------------
% 1.47/0.60  % (25894)------------------------------
% 1.47/0.60  % (25914)Instruction limit reached!
% 1.47/0.60  % (25914)------------------------------
% 1.47/0.60  % (25914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (25914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (25914)Termination reason: Unknown
% 1.47/0.60  % (25914)Termination phase: Preprocessing 2
% 1.47/0.60  
% 1.47/0.60  % (25914)Memory used [KB]: 2046
% 1.47/0.60  % (25914)Time elapsed: 0.011 s
% 1.47/0.60  % (25914)Instructions burned: 23 (million)
% 1.47/0.60  % (25914)------------------------------
% 1.47/0.60  % (25914)------------------------------
% 1.47/0.60  % (25888)Instruction limit reached!
% 1.47/0.60  % (25888)------------------------------
% 1.47/0.60  % (25888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (25888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (25888)Termination reason: Unknown
% 1.47/0.60  % (25888)Termination phase: Property scanning
% 1.47/0.60  
% 1.47/0.60  % (25888)Memory used [KB]: 1663
% 1.47/0.60  % (25888)Time elapsed: 0.006 s
% 1.47/0.60  % (25888)Instructions burned: 9 (million)
% 1.47/0.60  % (25888)------------------------------
% 1.47/0.60  % (25888)------------------------------
% 1.47/0.60  % (25905)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.47/0.60  % (25911)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.47/0.60  % (25910)Instruction limit reached!
% 1.47/0.60  % (25910)------------------------------
% 1.47/0.60  % (25910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (25910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (25910)Termination reason: Unknown
% 1.47/0.60  % (25910)Termination phase: Property scanning
% 1.47/0.60  
% 1.47/0.60  % (25910)Memory used [KB]: 2942
% 1.47/0.60  % (25910)Time elapsed: 0.026 s
% 1.47/0.60  % (25910)Instructions burned: 51 (million)
% 1.47/0.60  % (25910)------------------------------
% 1.47/0.60  % (25910)------------------------------
% 1.47/0.61  % (25908)Instruction limit reached!
% 1.47/0.61  % (25908)------------------------------
% 1.47/0.61  % (25908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (25908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (25908)Termination reason: Unknown
% 1.47/0.61  % (25908)Termination phase: shuffling
% 1.47/0.61  
% 1.47/0.61  % (25908)Memory used [KB]: 1918
% 1.47/0.61  % (25908)Time elapsed: 0.010 s
% 1.47/0.61  % (25908)Instructions burned: 21 (million)
% 1.47/0.61  % (25908)------------------------------
% 1.47/0.61  % (25908)------------------------------
% 1.47/0.61  % (25903)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.61  % (25903)Instruction limit reached!
% 1.47/0.61  % (25903)------------------------------
% 1.47/0.61  % (25903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (25903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (25903)Termination reason: Unknown
% 1.47/0.61  % (25903)Termination phase: shuffling
% 1.47/0.61  
% 1.47/0.61  % (25903)Memory used [KB]: 1663
% 1.47/0.61  % (25903)Time elapsed: 0.003 s
% 1.47/0.61  % (25903)Instructions burned: 2 (million)
% 1.47/0.61  % (25903)------------------------------
% 1.47/0.61  % (25903)------------------------------
% 1.47/0.61  % (25895)Instruction limit reached!
% 1.47/0.61  % (25895)------------------------------
% 1.47/0.61  % (25895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (25895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (25895)Termination reason: Unknown
% 1.47/0.61  % (25895)Termination phase: Including theory axioms
% 1.47/0.61  
% 1.47/0.61  % (25895)Memory used [KB]: 1663
% 1.47/0.61  % (25895)Time elapsed: 0.013 s
% 1.47/0.61  % (25895)Instructions burned: 26 (million)
% 1.47/0.61  % (25895)------------------------------
% 1.47/0.61  % (25895)------------------------------
% 1.47/0.62  % (25897)Instruction limit reached!
% 1.47/0.62  % (25897)------------------------------
% 1.47/0.62  % (25897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (25897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (25897)Termination reason: Unknown
% 1.47/0.62  % (25897)Termination phase: Preprocessing 3
% 1.47/0.62  
% 1.47/0.62  % (25897)Memory used [KB]: 2174
% 1.47/0.62  % (25897)Time elapsed: 0.016 s
% 1.47/0.62  % (25897)Instructions burned: 36 (million)
% 1.47/0.62  % (25897)------------------------------
% 1.47/0.62  % (25897)------------------------------
% 1.47/0.62  % (25915)Instruction limit reached!
% 1.47/0.62  % (25915)------------------------------
% 1.47/0.62  % (25915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (25916)Instruction limit reached!
% 1.47/0.62  % (25916)------------------------------
% 1.47/0.62  % (25916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (25916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (25916)Termination reason: Unknown
% 1.47/0.62  % (25916)Termination phase: Preprocessing 3
% 1.47/0.62  
% 1.47/0.62  % (25916)Memory used [KB]: 2302
% 1.47/0.62  % (25916)Time elapsed: 0.018 s
% 1.47/0.62  % (25916)Instructions burned: 41 (million)
% 1.47/0.62  % (25916)------------------------------
% 1.47/0.62  % (25916)------------------------------
% 1.47/0.62  % (25915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (25915)Termination reason: Unknown
% 1.47/0.62  % (25915)Termination phase: Property scanning
% 1.47/0.62  
% 1.47/0.62  % (25915)Memory used [KB]: 1663
% 1.47/0.62  % (25915)Time elapsed: 0.013 s
% 1.47/0.62  % (25915)Instructions burned: 22 (million)
% 1.47/0.62  % (25915)------------------------------
% 1.47/0.62  % (25915)------------------------------
% 1.47/0.62  % (25905)Instruction limit reached!
% 1.47/0.62  % (25905)------------------------------
% 1.47/0.62  % (25905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (25900)Instruction limit reached!
% 1.47/0.62  % (25900)------------------------------
% 1.47/0.62  % (25900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (25905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (25900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (25905)Termination reason: Unknown
% 1.47/0.62  % (25900)Termination reason: Unknown
% 1.47/0.62  % (25905)Termination phase: shuffling
% 1.47/0.62  % (25900)Termination phase: Unused predicate definition removal
% 1.47/0.62  
% 1.47/0.62  
% 1.47/0.62  % (25905)Memory used [KB]: 1663
% 1.47/0.62  % (25900)Memory used [KB]: 1918
% 1.47/0.62  % (25905)Time elapsed: 0.008 s
% 1.47/0.62  % (25900)Time elapsed: 0.011 s
% 1.47/0.62  % (25905)Instructions burned: 15 (million)
% 1.47/0.62  % (25900)Instructions burned: 21 (million)
% 1.47/0.62  % (25905)------------------------------
% 1.47/0.62  % (25905)------------------------------
% 1.47/0.62  % (25900)------------------------------
% 1.47/0.62  % (25900)------------------------------
% 1.47/0.63  % (25887)Instruction limit reached!
% 1.47/0.63  % (25887)------------------------------
% 1.47/0.63  % (25887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.63  % (25887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.63  % (25887)Termination reason: Unknown
% 1.47/0.63  % (25887)Termination phase: Preprocessing 2
% 1.47/0.63  
% 1.47/0.63  % (25887)Memory used [KB]: 2046
% 1.47/0.63  % (25887)Time elapsed: 0.022 s
% 1.47/0.63  % (25887)Instructions burned: 34 (million)
% 1.47/0.63  % (25887)------------------------------
% 1.47/0.63  % (25887)------------------------------
% 1.82/0.63  % (25901)Instruction limit reached!
% 1.82/0.63  % (25901)------------------------------
% 1.82/0.63  % (25901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63  % (25901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63  % (25901)Termination reason: Unknown
% 1.82/0.63  % (25901)Termination phase: Property scanning
% 1.82/0.63  
% 1.82/0.63  % (25901)Memory used [KB]: 2942
% 1.82/0.63  % (25901)Time elapsed: 0.032 s
% 1.82/0.63  % (25901)Instructions burned: 50 (million)
% 1.82/0.63  % (25901)------------------------------
% 1.82/0.63  % (25901)------------------------------
% 1.82/0.63  % (25891)Instruction limit reached!
% 1.82/0.63  % (25891)------------------------------
% 1.82/0.63  % (25891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63  % (25891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63  % (25891)Termination reason: Unknown
% 1.82/0.63  % (25891)Termination phase: shuffling
% 1.82/0.63  
% 1.82/0.63  % (25891)Memory used [KB]: 2174
% 1.82/0.63  % (25891)Time elapsed: 0.017 s
% 1.82/0.63  % (25891)Instructions burned: 39 (million)
% 1.82/0.63  % (25891)------------------------------
% 1.82/0.63  % (25891)------------------------------
% 1.82/0.63  % (25909)Instruction limit reached!
% 1.82/0.63  % (25909)------------------------------
% 1.82/0.63  % (25909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (25912)Instruction limit reached!
% 1.82/0.64  % (25912)------------------------------
% 1.82/0.64  % (25912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (25909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (25909)Termination reason: Unknown
% 1.82/0.64  % (25909)Termination phase: Preprocessing 3
% 1.82/0.64  
% 1.82/0.64  % (25909)Memory used [KB]: 2558
% 1.82/0.64  % (25909)Time elapsed: 0.034 s
% 1.82/0.64  % (25909)Instructions burned: 47 (million)
% 1.82/0.64  % (25909)------------------------------
% 1.82/0.64  % (25909)------------------------------
% 1.82/0.64  % (25913)Instruction limit reached!
% 1.82/0.64  % (25913)------------------------------
% 1.82/0.64  % (25913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (25913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (25913)Termination reason: Unknown
% 1.82/0.64  % (25913)Termination phase: Preprocessing 3
% 1.82/0.64  
% 1.82/0.64  % (25913)Memory used [KB]: 2686
% 1.82/0.64  % (25913)Time elapsed: 0.019 s
% 1.82/0.64  % (25913)Instructions burned: 43 (million)
% 1.82/0.64  % (25913)------------------------------
% 1.82/0.64  % (25913)------------------------------
% 1.85/0.66  % (25912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.66  % (25912)Termination reason: Unknown
% 1.85/0.66  % (25912)Termination phase: Preprocessing 3
% 1.85/0.66  
% 1.85/0.66  % (25912)Memory used [KB]: 2430
% 1.85/0.66  % (25912)Time elapsed: 0.019 s
% 1.85/0.66  % (25912)Instructions burned: 42 (million)
% 1.85/0.66  % (25912)------------------------------
% 1.85/0.66  % (25912)------------------------------
% 1.85/0.67  % (25904)Instruction limit reached!
% 1.85/0.67  % (25904)------------------------------
% 1.85/0.67  % (25904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.67  % (25904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.67  % (25904)Termination reason: Unknown
% 1.85/0.67  % (25904)Termination phase: Preprocessing 3
% 1.85/0.67  
% 1.85/0.67  % (25904)Memory used [KB]: 2814
% 1.85/0.67  % (25904)Time elapsed: 0.025 s
% 1.85/0.67  % (25904)Instructions burned: 50 (million)
% 1.85/0.67  % (25904)------------------------------
% 1.85/0.67  % (25904)------------------------------
% 1.85/0.68  % (25911)Instruction limit reached!
% 1.85/0.68  % (25911)------------------------------
% 1.85/0.68  % (25911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.68  % (25911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.68  % (25911)Termination reason: Unknown
% 1.85/0.68  % (25911)Termination phase: Property scanning
% 1.85/0.68  
% 1.85/0.68  % (25911)Memory used [KB]: 2942
% 1.85/0.68  % (25911)Time elapsed: 0.024 s
% 1.85/0.68  % (25911)Instructions burned: 49 (million)
% 1.85/0.68  % (25911)------------------------------
% 1.85/0.68  % (25911)------------------------------
% 1.85/0.69  % (26007)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 1.85/0.69  % (26013)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 1.85/0.70  % (26019)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 1.85/0.70  % (26015)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.85/0.70  % (26010)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 1.85/0.70  % (26022)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 1.85/0.70  % (26016)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 1.85/0.70  % (26020)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 1.85/0.70  % (26009)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.85/0.71  % (26007)Instruction limit reached!
% 1.85/0.71  % (26007)------------------------------
% 1.85/0.71  % (26007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.71  % (26007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.71  % (26007)Termination reason: Unknown
% 1.85/0.71  % (26007)Termination phase: shuffling
% 1.85/0.71  
% 1.85/0.71  % (26007)Memory used [KB]: 1663
% 1.85/0.71  % (26007)Time elapsed: 0.009 s
% 1.85/0.71  % (26007)Instructions burned: 16 (million)
% 1.85/0.71  % (26007)------------------------------
% 1.85/0.71  % (26007)------------------------------
% 1.85/0.71  % (26030)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 1.85/0.71  % (26027)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 1.85/0.71  % (26028)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 1.85/0.71  % (26026)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.00/0.72  % (26033)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.00/0.73  % (26010)Instruction limit reached!
% 2.00/0.73  % (26010)------------------------------
% 2.00/0.73  % (26010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.74  % (26010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.74  % (26010)Termination reason: Unknown
% 2.00/0.74  % (26010)Termination phase: Preprocessing 3
% 2.00/0.74  
% 2.00/0.74  % (26010)Memory used [KB]: 2302
% 2.00/0.74  % (26010)Time elapsed: 0.012 s
% 2.00/0.74  % (26010)Instructions burned: 26 (million)
% 2.00/0.74  % (26010)------------------------------
% 2.00/0.74  % (26010)------------------------------
% 2.00/0.74  % (26041)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.00/0.74  % (26040)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.00/0.74  % (26038)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.00/0.75  % (26044)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.00/0.75  % (26043)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.00/0.76  % (26035)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.00/0.76  % (26009)Instruction limit reached!
% 2.00/0.76  % (26009)------------------------------
% 2.00/0.76  % (26009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.76  % (26045)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.05/0.77  % (26019)Instruction limit reached!
% 2.05/0.77  % (26019)------------------------------
% 2.05/0.77  % (26019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.77  % (26019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.77  % (26019)Termination reason: Unknown
% 2.05/0.77  % (26019)Termination phase: Function definition elimination
% 2.05/0.77  
% 2.05/0.77  % (26019)Memory used [KB]: 2942
% 2.05/0.77  % (26019)Time elapsed: 0.037 s
% 2.05/0.77  % (26019)Instructions burned: 59 (million)
% 2.05/0.77  % (26019)------------------------------
% 2.05/0.77  % (26019)------------------------------
% 2.05/0.77  % (26042)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.05/0.78  % (26058)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.05/0.78  % (26009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.78  % (26009)Termination reason: Unknown
% 2.05/0.78  % (26009)Termination phase: Property scanning
% 2.05/0.78  
% 2.05/0.78  % (26009)Memory used [KB]: 2558
% 2.05/0.78  % (26009)Time elapsed: 0.021 s
% 2.05/0.78  % (26009)Instructions burned: 47 (million)
% 2.05/0.78  % (26009)------------------------------
% 2.05/0.78  % (26009)------------------------------
% 2.05/0.78  % (26048)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 2.05/0.79  % (26047)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/330Mi)
% 2.05/0.79  % (26053)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 2.05/0.79  % (26050)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 2.05/0.79  % (26016)Instruction limit reached!
% 2.05/0.79  % (26016)------------------------------
% 2.05/0.79  % (26016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.79  % (26016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.79  % (26016)Termination reason: Unknown
% 2.05/0.79  % (26016)Termination phase: Saturation
% 2.05/0.79  
% 2.05/0.79  % (26016)Memory used [KB]: 7547
% 2.05/0.79  % (26016)Time elapsed: 0.033 s
% 2.05/0.79  % (26016)Instructions burned: 77 (million)
% 2.05/0.79  % (26016)------------------------------
% 2.05/0.79  % (26016)------------------------------
% 2.05/0.80  % (26049)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.05/0.82  % (26063)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.05/0.83  % (26015)Instruction limit reached!
% 2.05/0.83  % (26015)------------------------------
% 2.05/0.83  % (26015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.83  % (26070)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 2.24/0.85  % (26015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.85  % (26015)Termination reason: Unknown
% 2.24/0.86  % (26015)Termination phase: Saturation
% 2.24/0.86  
% 2.24/0.86  % (26015)Memory used [KB]: 7931
% 2.24/0.86  % (26015)Time elapsed: 0.044 s
% 2.24/0.86  % (26015)Instructions burned: 100 (million)
% 2.24/0.86  % (26015)------------------------------
% 2.24/0.86  % (26015)------------------------------
% 2.24/0.87  % (26022)Instruction limit reached!
% 2.24/0.87  % (26022)------------------------------
% 2.24/0.87  % (26022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.87  % (26022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.87  % (26022)Termination reason: Unknown
% 2.24/0.87  % (26022)Termination phase: Saturation
% 2.24/0.87  
% 2.24/0.87  % (26022)Memory used [KB]: 7675
% 2.24/0.87  % (26022)Time elapsed: 0.056 s
% 2.24/0.87  % (26022)Instructions burned: 108 (million)
% 2.24/0.87  % (26022)------------------------------
% 2.24/0.87  % (26022)------------------------------
% 2.24/0.87  % (26020)Instruction limit reached!
% 2.24/0.87  % (26020)------------------------------
% 2.24/0.87  % (26020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.87  % (26020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.87  % (26020)Termination reason: Unknown
% 2.24/0.87  % (26020)Termination phase: Saturation
% 2.24/0.87  % (26042)Instruction limit reached!
% 2.24/0.87  % (26042)------------------------------
% 2.24/0.87  % (26042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.87  
% 2.24/0.87  % (26020)Memory used [KB]: 3070
% 2.24/0.87  % (26020)Time elapsed: 0.045 s
% 2.24/0.87  % (26020)Instructions burned: 97 (million)
% 2.24/0.87  % (26020)------------------------------
% 2.24/0.87  % (26020)------------------------------
% 2.24/0.87  % (26042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.87  % (26042)Termination reason: Unknown
% 2.24/0.87  % (26042)Termination phase: Blocked clause elimination
% 2.24/0.87  
% 2.24/0.87  % (26042)Memory used [KB]: 3070
% 2.24/0.87  % (26042)Time elapsed: 0.038 s
% 2.24/0.87  % (26042)Instructions burned: 81 (million)
% 2.24/0.87  % (26042)------------------------------
% 2.24/0.87  % (26042)------------------------------
% 2.53/0.90  % (26079)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.53/0.91  % (26013)Instruction limit reached!
% 2.53/0.91  % (26013)------------------------------
% 2.53/0.91  % (26013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.91  % (26088)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 2.53/0.91  % (26093)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.53/0.92  % (26099)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 2.53/0.93  % (26013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.93  % (26013)Termination reason: Unknown
% 2.53/0.93  % (26013)Termination phase: Saturation
% 2.54/0.93  
% 2.54/0.93  % (26013)Memory used [KB]: 8571
% 2.54/0.93  % (26013)Time elapsed: 0.065 s
% 2.54/0.93  % (26013)Instructions burned: 150 (million)
% 2.54/0.93  % (26013)------------------------------
% 2.54/0.93  % (26013)------------------------------
% 2.64/0.96  % (26038)Instruction limit reached!
% 2.64/0.96  % (26038)------------------------------
% 2.64/0.96  % (26038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.96  % (26044)First to succeed.
% 2.64/0.96  % (26038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.96  % (26038)Termination reason: Unknown
% 2.64/0.96  % (26038)Termination phase: Saturation
% 2.64/0.96  
% 2.64/0.96  % (26038)Memory used [KB]: 3198
% 2.64/0.96  % (26038)Time elapsed: 0.072 s
% 2.64/0.96  % (26038)Instructions burned: 160 (million)
% 2.64/0.96  % (26038)------------------------------
% 2.64/0.96  % (26038)------------------------------
% 2.64/0.96  % (26043)Instruction limit reached!
% 2.64/0.96  % (26043)------------------------------
% 2.64/0.96  % (26043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.97  % (26043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.97  % (26043)Termination reason: Unknown
% 2.64/0.97  % (26043)Termination phase: Saturation
% 2.64/0.97  
% 2.64/0.97  % (26043)Memory used [KB]: 3070
% 2.64/0.97  % (26043)Time elapsed: 0.061 s
% 2.64/0.97  % (26043)Instructions burned: 148 (million)
% 2.64/0.97  % (26043)------------------------------
% 2.64/0.97  % (26043)------------------------------
% 2.64/0.97  % (26129)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/501Mi)
% 2.64/0.98  % (26044)Refutation found. Thanks to Tanya!
% 2.64/0.98  % SZS status Theorem for theBenchmark
% 2.64/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.98  % (26044)------------------------------
% 2.64/0.98  % (26044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.98  % (26044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.98  % (26044)Termination reason: Refutation
% 2.64/0.98  
% 2.64/0.98  % (26044)Memory used [KB]: 8955
% 2.64/0.98  % (26044)Time elapsed: 0.295 s
% 2.64/0.98  % (26044)Instructions burned: 141 (million)
% 2.64/0.98  % (26044)------------------------------
% 2.64/0.98  % (26044)------------------------------
% 2.64/0.98  % (25867)Success in time 0.614 s
%------------------------------------------------------------------------------