TSTP Solution File: ITP339_1 by SnakeForV---1.0
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- 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 : n020.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 17:19:39 EDT 2022
% Result : Theorem 2.17s 0.88s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 484
% Syntax : Number of formulae : 666 ( 144 unt; 356 typ; 0 def)
% Number of atoms : 706 ( 213 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 700 ( 304 ~; 246 |; 57 &)
% ( 72 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 254 ( 80 atm; 41 fun; 106 num; 27 var)
% Number of types : 50 ( 48 usr; 1 ari)
% Number of type conns : 370 ( 257 >; 113 *; 0 +; 0 <<)
% Number of predicates : 92 ( 87 usr; 72 prp; 0-3 aty)
% Number of functors : 294 ( 291 usr; 53 con; 0-3 aty)
% Number of variables : 56 ( 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'A_c_vec_c_vec$': $tType ).
tff(type_def_8,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'Int_int_prod_bool_fun$': $tType ).
tff(type_def_10,type,
'A_iarray_iarray_a_iarray_iarray_prod$': $tType ).
tff(type_def_11,type,
'A_iarray_iarray$': $tType ).
tff(type_def_12,type,
'Int_int_prod$': $tType ).
tff(type_def_13,type,
'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$': $tType ).
tff(type_def_14,type,
'A_c_vec_c_vec_a_b_vec_c_vec_prod$': $tType ).
tff(type_def_15,type,
'Nat_list$': $tType ).
tff(type_def_16,type,
'Nat_nat_prod_bool_fun$': $tType ).
tff(type_def_17,type,
'Nat_a_c_vec_c_vec_prod$': $tType ).
tff(type_def_18,type,
'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_bool_fun_fun$': $tType ).
tff(type_def_19,type,
'Int_int_fun$': $tType ).
tff(type_def_20,type,
'Nat_nat_prod$': $tType ).
tff(type_def_21,type,
'A_b_vec_c_vec$': $tType ).
tff(type_def_22,type,
'Nat_a_iarray_iarray_bool_fun_fun$': $tType ).
tff(type_def_23,type,
'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun_fun$': $tType ).
tff(type_def_24,type,
'Nat_nat_fun$': $tType ).
tff(type_def_25,type,
'A_iarray_iarray_nat_a_iarray_iarray_prod_bool_fun_fun$': $tType ).
tff(type_def_26,type,
'Nat$': $tType ).
tff(type_def_27,type,
'Nat_int_prod_bool_fun$': $tType ).
tff(type_def_28,type,
'A_iarray_iarray_bool_fun$': $tType ).
tff(type_def_29,type,
'Nat_a_b_vec_c_vec_prod_bool_fun$': $tType ).
tff(type_def_30,type,
tlbool: $tType ).
tff(type_def_31,type,
'A_b_vec_c_vec_bool_fun$': $tType ).
tff(type_def_32,type,
'Nat_a_iarray_iarray_prod$': $tType ).
tff(type_def_33,type,
'Nat_int_prod$': $tType ).
tff(type_def_34,type,
'Int_nat_prod$': $tType ).
tff(type_def_35,type,
'Nat_a_b_vec_c_vec_bool_fun_fun$': $tType ).
tff(type_def_36,type,
'A$': $tType ).
tff(type_def_37,type,
'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$': $tType ).
tff(type_def_38,type,
'Nat_a_b_vec_c_vec_prod$': $tType ).
tff(type_def_39,type,
'Nat_a_iarray_iarray_prod_bool_fun$': $tType ).
tff(type_def_40,type,
'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$': $tType ).
tff(type_def_41,type,
'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$': $tType ).
tff(type_def_42,type,
'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun_fun$': $tType ).
tff(type_def_43,type,
'Nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun$': $tType ).
tff(type_def_44,type,
'Nat_a_iarray_prod_bool_fun$': $tType ).
tff(type_def_45,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_46,type,
'A_iarray$': $tType ).
tff(type_def_47,type,
'Int_nat_prod_bool_fun$': $tType ).
tff(type_def_48,type,
'Nat_a_iarray_prod$': $tType ).
tff(type_def_49,type,
'Nat_bool_fun$': $tType ).
tff(type_def_50,type,
'Nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun$': $tType ).
tff(type_def_51,type,
'Nat_int_fun$': $tType ).
tff(type_def_52,type,
'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$': $tType ).
tff(func_def_0,type,
'snd$g': 'Int_nat_prod$' > 'Nat$' ).
tff(func_def_1,type,
'foldl$a': ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun_fun$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' * 'Nat_list$' ) > 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_2,type,
'b$': 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_3,type,
'fun_app$l': ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_bool_fun_fun$' * 'A_c_vec_c_vec$' ) > 'Nat_a_b_vec_c_vec_prod_bool_fun$' ).
tff(func_def_4,type,
'gauss_Jordan_in_ij_iarrays_PA$': ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'Nat$' * 'Nat$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_5,type,
'pair$b': ( 'Nat$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_6,type,
'fst$f': 'Nat_int_prod$' > 'Nat$' ).
tff(func_def_7,type,
'ncols$a': 'A_c_vec_c_vec$' > 'Nat$' ).
tff(func_def_8,type,
'fun_app$z': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_9,type,
'plus$h': ( 'Int_nat_prod$' * 'Int_nat_prod$' ) > 'Int_nat_prod$' ).
tff(func_def_10,type,
'pair$d': ( 'A_iarray_iarray$' * 'Nat_a_iarray_iarray_prod$' ) > 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_11,type,
'mat$': 'A$' > 'A_c_vec_c_vec$' ).
tff(func_def_12,type,
'gauss_Jordan_column_k_PA$': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun_fun$' ).
tff(func_def_13,type,
'gauss_Jordan_upt_k_PA$': ( 'A_b_vec_c_vec$' * 'Nat$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).
tff(func_def_14,type,
'fun_app$q': ( 'Nat_a_b_vec_c_vec_bool_fun_fun$' * 'Nat$' ) > 'A_b_vec_c_vec_bool_fun$' ).
tff(func_def_15,type,
'a$a': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_16,type,
'fst$l': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_17,type,
'pair$e': ( 'Nat$' * 'Nat$' ) > 'Nat_nat_prod$' ).
tff(func_def_18,type,
'snd$c': 'A_iarray_iarray_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_19,type,
'pair$h': ( $int * $int ) > 'Int_int_prod$' ).
tff(func_def_20,type,
'fun_app$o': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_21,type,
'pair$a': ( 'Nat$' * 'A_b_vec_c_vec$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_22,type,
'snd$h': 'Int_int_prod$' > $int ).
tff(func_def_23,type,
'fst$e': 'Nat_nat_prod$' > 'Nat$' ).
tff(func_def_24,type,
'fst$k': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_25,type,
'fun_app$': ( 'Nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun$' * 'Nat$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_26,type,
'foldl$': ( '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_fun_fun$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'Nat_list$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_27,type,
'nrows$': 'A_b_vec_c_vec$' > 'Nat$' ).
tff(func_def_28,type,
'pair$f': ( 'Nat$' * $int ) > 'Nat_int_prod$' ).
tff(func_def_29,type,
'snd$e': 'Nat_nat_prod$' > 'Nat$' ).
tff(func_def_30,type,
'zero$a': 'A_c_vec_c_vec$' ).
tff(func_def_31,type,
'fun_app$r': ( 'Nat_a_iarray_iarray_bool_fun_fun$' * 'Nat$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_32,type,
'fun_app$m': ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_bool_fun_fun$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod_bool_fun$' ).
tff(func_def_33,type,
'pair$l': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).
tff(func_def_34,type,
'fun_app$t': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_35,type,
'snd$a': 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_36,type,
'pair$j': ( 'A_c_vec_c_vec$' * 'Nat_a_c_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' ).
tff(func_def_37,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_38,type,
'one$': 'A$' ).
tff(func_def_39,type,
'upt$': ( 'Nat$' * 'Nat$' ) > 'Nat_list$' ).
tff(func_def_40,type,
'nrows$a': 'A_c_vec_c_vec$' > 'Nat$' ).
tff(func_def_41,type,
'fst$c': 'A_iarray_iarray_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_42,type,
'fst$a': 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_43,type,
'snd$b': 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_44,type,
'fst$g': 'Int_nat_prod$' > $int ).
tff(func_def_45,type,
'zero$b': 'Int_nat_prod$' ).
tff(func_def_46,type,
'less$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_47,type,
'nrows_iarray$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_48,type,
'pair$i': ( 'Nat$' * 'A_iarray$' ) > 'Nat_a_iarray_prod$' ).
tff(func_def_49,type,
tltrue: tlbool ).
tff(func_def_50,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_51,type,
'plus$f': ( 'Nat_a_iarray_iarray_prod$' * 'Nat_a_iarray_iarray_prod$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_52,type,
'plus$': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_53,type,
'fun_app$a': ( '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_fun_fun$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > 'Nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun$' ).
tff(func_def_54,type,
'snd$f': 'Nat_int_prod$' > $int ).
tff(func_def_55,type,
'pair$c': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_56,type,
'plus$k': ( 'Nat_nat_prod$' * 'Nat_nat_prod$' ) > 'Nat_nat_prod$' ).
tff(func_def_57,type,
'gauss_Jordan_column_k_iarrays_PA$': 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun_fun$' ).
tff(func_def_58,type,
'one$a': 'Nat$' ).
tff(func_def_59,type,
'fst$i': 'Nat_a_iarray_prod$' > 'Nat$' ).
tff(func_def_60,type,
'plus$j': ( 'Nat_int_prod$' * 'Nat_int_prod$' ) > 'Nat_int_prod$' ).
tff(func_def_61,type,
'zero$i': 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_62,type,
'fun_app$v': ( 'Nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun$' * 'Nat$' ) > 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_63,type,
'fst$': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_64,type,
'fun_app$y': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_65,type,
'fst$d': 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_66,type,
'ncols$': 'A_b_vec_c_vec$' > 'Nat$' ).
tff(func_def_67,type,
'fst$b': 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_68,type,
'fun_app$u': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_69,type,
'vector_all_zero_from_index$': 'Nat_a_iarray_prod_bool_fun$' ).
tff(func_def_70,type,
'plus$l': ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_71,type,
'plus$c': ( 'Nat_a_b_vec_c_vec_prod$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_72,type,
'matrix_to_iarray$a': 'A_b_vec_c_vec$' > 'A_iarray_iarray$' ).
tff(func_def_73,type,
'plus$d': ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_74,type,
'zero$h': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_75,type,
'pair$k': ( 'Nat$' * 'A_c_vec_c_vec$' ) > 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_76,type,
'column_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).
tff(func_def_77,type,
'fun_app$w': ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun_fun$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'Nat_a_iarray_iarray_nat_a_iarray_iarray_prod_prod_fun$' ).
tff(func_def_78,type,
'zero$j': 'A_b_vec_c_vec$' ).
tff(func_def_79,type,
'divides_aux$': 'Int_int_prod_bool_fun$' ).
tff(func_def_80,type,
'less_eq$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_81,type,
'snd$i': 'Nat_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_82,type,
'plus$e': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_83,type,
'zero$c': 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_84,type,
'zero$': 'A$' ).
tff(func_def_85,type,
'matrix_to_iarray$': 'A_c_vec_c_vec$' > 'A_iarray_iarray$' ).
tff(func_def_86,type,
'plus$i': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_87,type,
'plus$g': ( 'Int_int_prod$' * 'Int_int_prod$' ) > 'Int_int_prod$' ).
tff(func_def_88,type,
tlfalse: tlbool ).
tff(func_def_89,type,
'zero$g': 'Int_int_prod$' ).
tff(func_def_90,type,
'nat$': $int > 'Nat$' ).
tff(func_def_91,type,
'fst$h': 'Int_int_prod$' > $int ).
tff(func_def_92,type,
'zero$e': 'Nat_nat_prod$' ).
tff(func_def_93,type,
'zero$f': 'Nat_int_prod$' ).
tff(func_def_94,type,
'snd$l': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_95,type,
'pair$': ( 'A_c_vec_c_vec$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_96,type,
'gauss_Jordan_upt_k_iarrays_PA$': ( 'A_iarray_iarray$' * 'Nat$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_97,type,
'suc$': 'Nat_nat_fun$' ).
tff(func_def_98,type,
'plus$a': ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_99,type,
'pair$g': ( $int * 'Nat$' ) > 'Int_nat_prod$' ).
tff(func_def_100,type,
'fun_app$b': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_101,type,
'fst$j': 'Nat_a_c_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_102,type,
'zero$d': 'Nat$' ).
tff(func_def_103,type,
'a$': 'A_b_vec_c_vec$' ).
tff(func_def_104,type,
'ka$': 'Nat$' ).
tff(func_def_105,type,
'snd$j': 'Nat_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_106,type,
'plus$b': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_107,type,
'mat_iarray$': ( 'A$' * 'Nat$' ) > 'A_iarray_iarray$' ).
tff(func_def_108,type,
'k$': 'Nat$' ).
tff(func_def_109,type,
'snd$d': 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_110,type,
'snd$': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_111,type,
'snd$k': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_116,type,
sK0: $int > $int ).
tff(func_def_117,type,
sK1: 'Int_int_fun$' > $int ).
tff(func_def_118,type,
sK2: 'Int_int_fun$' > $int ).
tff(func_def_119,type,
sK3: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_120,type,
sK4: ( 'Nat$' * 'Nat_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_121,type,
sK5: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_122,type,
sK6: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_123,type,
sK7: ( 'Nat$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_124,type,
sK8: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_125,type,
sK9: ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'A_c_vec_c_vec$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_126,type,
sK10: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_127,type,
sK11: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_128,type,
sK12: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_129,type,
sK13: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_130,type,
sK14: 'Int_int_fun$' > $int ).
tff(func_def_131,type,
sK15: 'Int_int_fun$' > $int ).
tff(func_def_132,type,
sK16: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_133,type,
sK17: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_134,type,
sK18: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_135,type,
sK19: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK20: 'Int_int_fun$' > $int ).
tff(func_def_137,type,
sK21: 'Int_int_fun$' > $int ).
tff(func_def_138,type,
sK22: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_139,type,
sK23: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_140,type,
sK24: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_141,type,
sK25: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_142,type,
sK26: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_143,type,
sK27: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat$' ).
tff(func_def_144,type,
sK28: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_145,type,
sK29: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_146,type,
sK30: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_147,type,
sK31: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_148,type,
sK32: 'Int_int_fun$' > $int ).
tff(func_def_149,type,
sK33: 'Int_int_fun$' > $int ).
tff(func_def_150,type,
sK34: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_151,type,
sK35: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_152,type,
sK36: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_153,type,
sK37: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_154,type,
sK38: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_155,type,
sK39: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_156,type,
sK40: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_157,type,
sK41: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_158,type,
sK42: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_159,type,
sK43: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_160,type,
sK44: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_161,type,
sK45: ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_162,type,
sK46: ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_163,type,
sK47: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_164,type,
sK48: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_165,type,
sK49: 'Nat_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_166,type,
sK50: 'Nat_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_167,type,
sK51: 'Int_int_fun$' > $int ).
tff(func_def_168,type,
sK52: 'Int_int_fun$' > $int ).
tff(func_def_169,type,
sK53: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_170,type,
sK54: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_171,type,
sK55: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_172,type,
sK56: 'Int_int_prod$' > $int ).
tff(func_def_173,type,
sK57: 'Int_int_prod$' > $int ).
tff(func_def_174,type,
sK58: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_175,type,
sK59: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_176,type,
sK60: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_177,type,
sK61: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_178,type,
sK62: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat$' ).
tff(func_def_179,type,
sK63: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_180,type,
sK64: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_181,type,
sK65: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_182,type,
sK66: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_183,type,
sK67: 'Int_int_fun$' > $int ).
tff(func_def_184,type,
sK68: 'Int_int_fun$' > $int ).
tff(func_def_185,type,
sK69: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_186,type,
sK70: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_187,type,
sK71: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_188,type,
sK72: 'Nat$' > 'Nat$' ).
tff(func_def_189,type,
sK73: ( 'Nat_a_b_vec_c_vec_prod$' * 'A_b_vec_c_vec$' ) > 'Nat$' ).
tff(func_def_190,type,
sK74: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_191,type,
sK75: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_192,type,
sK76: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_c_vec_c_vec$' ).
tff(func_def_193,type,
sK77: 'Int_int_fun$' > $int ).
tff(func_def_194,type,
sK78: 'Int_int_fun$' > $int ).
tff(func_def_195,type,
sK79: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'Nat$' ).
tff(func_def_196,type,
sK80: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_197,type,
sK81: ( 'Nat_a_iarray_iarray_prod$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_198,type,
sK82: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_199,type,
sK83: ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_200,type,
sK84: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_201,type,
sK85: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_202,type,
sK86: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_203,type,
sK87: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_204,type,
sK88: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_205,type,
sK94: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_206,type,
sK95: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_207,type,
sK96: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_208,type,
sK97: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_209,type,
sK98: 'Nat$' > 'Nat$' ).
tff(func_def_210,type,
sK99: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_211,type,
sK100: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_212,type,
sK101: 'Nat_a_iarray_prod_bool_fun$' > 'Nat$' ).
tff(func_def_213,type,
sK102: 'Nat_a_iarray_prod_bool_fun$' > 'A_iarray$' ).
tff(func_def_214,type,
sK103: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_215,type,
sK104: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_216,type,
sK105: 'Nat_int_prod_bool_fun$' > 'Nat$' ).
tff(func_def_217,type,
sK106: 'Nat_int_prod_bool_fun$' > $int ).
tff(func_def_218,type,
sK107: ( 'Nat_a_iarray_iarray_prod$' * 'A_iarray_iarray$' ) > 'Nat$' ).
tff(func_def_219,type,
sK108: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_220,type,
sK109: 'Nat$' > 'Nat$' ).
tff(func_def_221,type,
sK110: 'Int_int_fun$' > $int ).
tff(func_def_222,type,
sK111: 'Int_int_fun$' > $int ).
tff(func_def_223,type,
sK112: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_224,type,
sK113: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_225,type,
sK114: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_226,type,
sK115: 'Int_nat_prod_bool_fun$' > $int ).
tff(func_def_227,type,
sK116: 'Int_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_228,type,
sK117: 'Int_int_fun$' > $int ).
tff(func_def_229,type,
sK118: 'Int_int_fun$' > $int ).
tff(func_def_230,type,
sK119: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_231,type,
sK120: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_232,type,
sK121: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_233,type,
sK122: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_234,type,
sK123: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_235,type,
sK124: ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_236,type,
sK125: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_237,type,
sK126: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_238,type,
sK127: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_239,type,
sK128: 'Int_int_fun$' > $int ).
tff(func_def_240,type,
sK129: 'Int_int_fun$' > $int ).
tff(func_def_241,type,
sK130: 'Nat$' > 'Nat$' ).
tff(func_def_242,type,
sK131: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_243,type,
sK132: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_244,type,
sK133: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_245,type,
sK134: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_246,type,
sK135: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_247,type,
sK136: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_b_vec_c_vec$' ).
tff(func_def_248,type,
sK137: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_c_vec_c_vec$' ).
tff(func_def_249,type,
sK138: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_250,type,
sK139: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_251,type,
sK140: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_252,type,
sK141: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_253,type,
sK142: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_254,type,
sK143: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_255,type,
sK144: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_256,type,
sK145: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_257,type,
sK146: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_258,type,
sK147: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_259,type,
sK148: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'A_b_vec_c_vec$' ).
tff(func_def_260,type,
sK149: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'Nat$' ).
tff(func_def_261,type,
sK150: 'Int_int_fun$' > $int ).
tff(func_def_262,type,
sK151: 'Int_int_fun$' > $int ).
tff(func_def_263,type,
sK152: 'Nat$' > 'Nat$' ).
tff(func_def_264,type,
sK153: $int > $int ).
tff(func_def_265,type,
sK154: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_266,type,
sK155: 'Int_int_prod_bool_fun$' > $int ).
tff(func_def_267,type,
sK156: 'Int_int_prod_bool_fun$' > $int ).
tff(func_def_268,type,
sK157: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_269,type,
sK158: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_270,type,
sK159: 'Int_int_fun$' > $int ).
tff(func_def_271,type,
sK160: 'Int_int_fun$' > $int ).
tff(func_def_272,type,
sF161: 'A_c_vec_c_vec$' ).
tff(func_def_273,type,
sF162: 'Nat$' ).
tff(func_def_274,type,
sF163: 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_275,type,
sF164: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_276,type,
sF165: $int ).
tff(func_def_277,type,
sF166: $int ).
tff(func_def_278,type,
sF167: 'Nat$' ).
tff(func_def_279,type,
sF168: 'Nat_list$' ).
tff(func_def_280,type,
sF169: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_281,type,
sF170: 'Nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun$' ).
tff(func_def_282,type,
sF171: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_283,type,
sF172: 'A_c_vec_c_vec$' ).
tff(func_def_284,type,
sF173: 'A_iarray_iarray$' ).
tff(func_def_285,type,
sF174: 'A_c_vec_c_vec$' ).
tff(func_def_286,type,
sF175: 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_287,type,
sF176: 'Nat$' ).
tff(func_def_288,type,
sF177: 'A_b_vec_c_vec$' ).
tff(func_def_289,type,
sF178: 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_290,type,
sF179: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_291,type,
sF180: 'Nat_a_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_fun$' ).
tff(func_def_292,type,
sF181: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_293,type,
sF182: 'A_c_vec_c_vec$' ).
tff(func_def_294,type,
sF183: 'A_iarray_iarray$' ).
tff(pred_def_1,type,
'fun_app$n': ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray$' ) > $o ).
tff(pred_def_2,type,
'fun_app$f': ( 'Int_nat_prod_bool_fun$' * 'Int_nat_prod$' ) > $o ).
tff(pred_def_3,type,
'fun_app$p': ( 'A_b_vec_c_vec_bool_fun$' * 'A_b_vec_c_vec$' ) > $o ).
tff(pred_def_4,type,
'fun_app$g': ( 'Int_int_prod_bool_fun$' * 'Int_int_prod$' ) > $o ).
tff(pred_def_5,type,
'fun_app$j': ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > $o ).
tff(pred_def_6,type,
'fun_app$d': ( 'Nat_nat_prod_bool_fun$' * 'Nat_nat_prod$' ) > $o ).
tff(pred_def_7,type,
'fun_app$e': ( 'Nat_int_prod_bool_fun$' * 'Nat_int_prod$' ) > $o ).
tff(pred_def_8,type,
'fun_app$i': ( 'Nat_a_b_vec_c_vec_prod_bool_fun$' * 'Nat_a_b_vec_c_vec_prod$' ) > $o ).
tff(pred_def_9,type,
'fun_app$k': ( 'Nat_a_iarray_iarray_prod_bool_fun$' * 'Nat_a_iarray_iarray_prod$' ) > $o ).
tff(pred_def_10,type,
'fun_app$x': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_11,type,
'fun_app$h': ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > $o ).
tff(pred_def_12,type,
'fun_app$c': ( 'Nat_a_iarray_prod_bool_fun$' * 'Nat_a_iarray_prod$' ) > $o ).
tff(pred_def_13,type,
'fun_app$s': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_16,type,
sP89: ( $int * $int * $int ) > $o ).
tff(pred_def_17,type,
sP90: ( $int * $int * $int ) > $o ).
tff(pred_def_18,type,
sP91: ( $int * $int * $int ) > $o ).
tff(pred_def_19,type,
sP92: ( $int * $int * $int ) > $o ).
tff(f3035,plain,
$false,
inference(avatar_smt_refutation,[],[f2619,f2623,f2627,f2631,f2635,f2639,f2643,f2647,f2651,f2655,f2659,f2663,f2667,f2671,f2675,f2679,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f2711,f2715,f2719,f2723,f2727,f2731,f2735,f2739,f2743,f2747,f2751,f2756,f2760,f2764,f2768,f2772,f2776,f2780,f2784,f2788,f2792,f2796,f2801,f2806,f2816,f2820,f2830,f2843,f2847,f2855,f2862,f2866,f2870,f2874,f2878,f2882,f2911,f2932,f2943,f2944,f2949,f2950,f2960,f2970,f2995,f2996,f3004,f3011,f3017,f3025,f3031,f3034]) ).
tff(f3034,plain,
( spl184_1
| ~ spl184_23
| ~ spl184_24
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_30
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
tff(f3033,plain,
( $false
| spl184_1
| ~ spl184_23
| ~ spl184_24
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_30
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(subsumption_resolution,[],[f3032,f2618]) ).
tff(f2618,plain,
( ( sF183 != sF173 )
| spl184_1 ),
inference(avatar_component_clause,[],[f2617]) ).
tff(f2617,plain,
( spl184_1
<=> ( sF183 = sF173 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_1])]) ).
tff(f3032,plain,
( ( sF183 = sF173 )
| ~ spl184_23
| ~ spl184_24
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_30
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(forward_demodulation,[],[f3027,f2710]) ).
tff(f2710,plain,
( ( 'matrix_to_iarray$'(sF172) = sF173 )
| ~ spl184_24 ),
inference(avatar_component_clause,[],[f2709]) ).
tff(f2709,plain,
( spl184_24
<=> ( 'matrix_to_iarray$'(sF172) = sF173 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_24])]) ).
tff(f3027,plain,
( ( sF183 = 'matrix_to_iarray$'(sF172) )
| ~ spl184_23
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_30
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(backward_demodulation,[],[f2734,f3026]) ).
tff(f3026,plain,
( ( sF182 = sF172 )
| ~ spl184_23
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(forward_demodulation,[],[f3021,f2706]) ).
tff(f2706,plain,
( ( sF172 = 'fst$'(sF171) )
| ~ spl184_23 ),
inference(avatar_component_clause,[],[f2705]) ).
tff(f2705,plain,
( spl184_23
<=> ( sF172 = 'fst$'(sF171) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_23])]) ).
tff(f3021,plain,
( ( sF182 = 'fst$'(sF171) )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(backward_demodulation,[],[f2730,f3018]) ).
tff(f3018,plain,
( ( sF171 = sF181 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(forward_demodulation,[],[f3013,f2779]) ).
tff(f2779,plain,
( ( sF171 = 'fun_app$'(sF170,sF167) )
| ~ spl184_41 ),
inference(avatar_component_clause,[],[f2778]) ).
tff(f2778,plain,
( spl184_41
<=> ( sF171 = 'fun_app$'(sF170,sF167) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_41])]) ).
tff(f3013,plain,
( ( 'fun_app$'(sF170,sF167) = sF181 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_40
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(backward_demodulation,[],[f2795,f3012]) ).
tff(f3012,plain,
( ( sF170 = sF180 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_40
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_61 ),
inference(forward_demodulation,[],[f3007,f2775]) ).
tff(f2775,plain,
( ( sF170 = 'fun_app$a'('gauss_Jordan_column_k_PA$',sF169) )
| ~ spl184_40 ),
inference(avatar_component_clause,[],[f2774]) ).
tff(f2774,plain,
( spl184_40
<=> ( sF170 = 'fun_app$a'('gauss_Jordan_column_k_PA$',sF169) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_40])]) ).
tff(f3007,plain,
( ( sF180 = 'fun_app$a'('gauss_Jordan_column_k_PA$',sF169) )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_61 ),
inference(backward_demodulation,[],[f2791,f3005]) ).
tff(f3005,plain,
( ( sF169 = sF179 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42
| ~ spl184_43
| ~ spl184_61 ),
inference(forward_demodulation,[],[f3000,f2948]) ).
tff(f2948,plain,
( ( 'pair$'(sF174,sF175) = sF169 )
| ~ spl184_61 ),
inference(avatar_component_clause,[],[f2947]) ).
tff(f2947,plain,
( spl184_61
<=> ( 'pair$'(sF174,sF175) = sF169 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_61])]) ).
tff(f3000,plain,
( ( 'pair$'(sF174,sF175) = sF179 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42
| ~ spl184_43 ),
inference(backward_demodulation,[],[f2787,f2991]) ).
tff(f2991,plain,
( ( sF175 = sF178 )
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42 ),
inference(backward_demodulation,[],[f2783,f2986]) ).
tff(f2986,plain,
( ( 'pair$a'(sF176,sF177) = sF175 )
| ~ spl184_27
| ~ spl184_28 ),
inference(forward_demodulation,[],[f2981,f2722]) ).
tff(f2722,plain,
( ( 'fst$a'(sF175) = sF176 )
| ~ spl184_27 ),
inference(avatar_component_clause,[],[f2721]) ).
tff(f2721,plain,
( spl184_27
<=> ( 'fst$a'(sF175) = sF176 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_27])]) ).
tff(f2981,plain,
( ( 'pair$a'('fst$a'(sF175),sF177) = sF175 )
| ~ spl184_28 ),
inference(superposition,[],[f1909,f2726]) ).
tff(f2726,plain,
( ( sF177 = 'snd$a'(sF175) )
| ~ spl184_28 ),
inference(avatar_component_clause,[],[f2725]) ).
tff(f2725,plain,
( spl184_28
<=> ( sF177 = 'snd$a'(sF175) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_28])]) ).
tff(f1909,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0 ),
inference(cnf_transformation,[],[f136]) ).
tff(f136,axiom,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom134) ).
tff(f2783,plain,
( ( 'pair$a'(sF176,sF177) = sF178 )
| ~ spl184_42 ),
inference(avatar_component_clause,[],[f2782]) ).
tff(f2782,plain,
( spl184_42
<=> ( 'pair$a'(sF176,sF177) = sF178 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_42])]) ).
tff(f2787,plain,
( ( 'pair$'(sF174,sF178) = sF179 )
| ~ spl184_43 ),
inference(avatar_component_clause,[],[f2786]) ).
tff(f2786,plain,
( spl184_43
<=> ( 'pair$'(sF174,sF178) = sF179 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_43])]) ).
tff(f2791,plain,
( ( 'fun_app$a'('gauss_Jordan_column_k_PA$',sF179) = sF180 )
| ~ spl184_44 ),
inference(avatar_component_clause,[],[f2790]) ).
tff(f2790,plain,
( spl184_44
<=> ( 'fun_app$a'('gauss_Jordan_column_k_PA$',sF179) = sF180 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_44])]) ).
tff(f2795,plain,
( ( 'fun_app$'(sF180,sF167) = sF181 )
| ~ spl184_45 ),
inference(avatar_component_clause,[],[f2794]) ).
tff(f2794,plain,
( spl184_45
<=> ( 'fun_app$'(sF180,sF167) = sF181 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_45])]) ).
tff(f2730,plain,
( ( sF182 = 'fst$'(sF181) )
| ~ spl184_29 ),
inference(avatar_component_clause,[],[f2729]) ).
tff(f2729,plain,
( spl184_29
<=> ( sF182 = 'fst$'(sF181) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_29])]) ).
tff(f2734,plain,
( ( sF183 = 'matrix_to_iarray$'(sF182) )
| ~ spl184_30 ),
inference(avatar_component_clause,[],[f2733]) ).
tff(f2733,plain,
( spl184_30
<=> ( sF183 = 'matrix_to_iarray$'(sF182) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_30])]) ).
tff(f3031,plain,
( spl184_69
| ~ spl184_23
| ~ spl184_27
| ~ spl184_28
| ~ spl184_29
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(avatar_split_clause,[],[f3026,f2947,f2794,f2790,f2786,f2782,f2778,f2774,f2729,f2725,f2721,f2705,f3029]) ).
tff(f3029,plain,
( spl184_69
<=> ( sF182 = sF172 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_69])]) ).
tff(f3025,plain,
( spl184_68
| ~ spl184_27
| ~ spl184_28
| ~ spl184_40
| ~ spl184_41
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_45
| ~ spl184_61 ),
inference(avatar_split_clause,[],[f3018,f2947,f2794,f2790,f2786,f2782,f2778,f2774,f2725,f2721,f3023]) ).
tff(f3023,plain,
( spl184_68
<=> ( sF171 = sF181 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_68])]) ).
tff(f3017,plain,
( spl184_67
| ~ spl184_27
| ~ spl184_28
| ~ spl184_40
| ~ spl184_42
| ~ spl184_43
| ~ spl184_44
| ~ spl184_61 ),
inference(avatar_split_clause,[],[f3012,f2947,f2790,f2786,f2782,f2774,f2725,f2721,f3015]) ).
tff(f3015,plain,
( spl184_67
<=> ( sF170 = sF180 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_67])]) ).
tff(f3011,plain,
( spl184_66
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42
| ~ spl184_43
| ~ spl184_61 ),
inference(avatar_split_clause,[],[f3005,f2947,f2786,f2782,f2725,f2721,f3009]) ).
tff(f3009,plain,
( spl184_66
<=> ( sF169 = sF179 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_66])]) ).
tff(f3004,plain,
( spl184_65
| ~ spl184_27
| ~ spl184_28
| ~ spl184_42 ),
inference(avatar_split_clause,[],[f2991,f2782,f2725,f2721,f3002]) ).
tff(f3002,plain,
( spl184_65
<=> ( sF175 = sF178 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_65])]) ).
tff(f2996,plain,
( spl184_64
| ~ spl184_27
| ~ spl184_28 ),
inference(avatar_split_clause,[],[f2988,f2725,f2721,f2993]) ).
tff(f2993,plain,
( spl184_64
<=> ( 'pair$a'(sF176,sF177) = sF175 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_64])]) ).
tff(f2988,plain,
( ( 'pair$a'(sF176,sF177) = sF175 )
| ~ spl184_27
| ~ spl184_28 ),
inference(forward_demodulation,[],[f2976,f2726]) ).
tff(f2976,plain,
( ( 'pair$a'(sF176,'snd$a'(sF175)) = sF175 )
| ~ spl184_27 ),
inference(superposition,[],[f1909,f2722]) ).
tff(f2995,plain,
( spl184_64
| ~ spl184_27
| ~ spl184_28 ),
inference(avatar_split_clause,[],[f2986,f2725,f2721,f2993]) ).
tff(f2970,plain,
( ~ spl184_63
| ~ spl184_38
| spl184_62 ),
inference(avatar_split_clause,[],[f2964,f2958,f2766,f2968]) ).
tff(f2968,plain,
( spl184_63
<=> ( 0 = sF166 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_63])]) ).
tff(f2766,plain,
( spl184_38
<=> ( sF166 = $sum(sF165,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_38])]) ).
tff(f2958,plain,
( spl184_62
<=> ( 0 = $sum(sF165,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_62])]) ).
tff(f2964,plain,
( ( 0 != sF166 )
| ~ spl184_38
| spl184_62 ),
inference(superposition,[],[f2959,f2767]) ).
tff(f2767,plain,
( ( sF166 = $sum(sF165,1) )
| ~ spl184_38 ),
inference(avatar_component_clause,[],[f2766]) ).
tff(f2959,plain,
( ( 0 != $sum(sF165,1) )
| spl184_62 ),
inference(avatar_component_clause,[],[f2958]) ).
tff(f2960,plain,
( ~ spl184_62
| ~ spl184_37 ),
inference(avatar_split_clause,[],[f2940,f2762,f2958]) ).
tff(f2762,plain,
( spl184_37
<=> ( 'fun_app$b'('of_nat$','ka$') = sF165 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_37])]) ).
tff(f2940,plain,
( ( 0 != $sum(sF165,1) )
| ~ spl184_37 ),
inference(superposition,[],[f1777,f2763]) ).
tff(f2763,plain,
( ( 'fun_app$b'('of_nat$','ka$') = sF165 )
| ~ spl184_37 ),
inference(avatar_component_clause,[],[f2762]) ).
tff(f1777,plain,
! [X0: 'Nat$'] : ( 0 != $sum('fun_app$b'('of_nat$',X0),1) ),
inference(cnf_transformation,[],[f231]) ).
tff(f231,axiom,
! [X0: 'Nat$'] : ( 0 != $sum('fun_app$b'('of_nat$',X0),1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom229) ).
tff(f2950,plain,
( spl184_61
| ~ spl184_25
| ~ spl184_26 ),
inference(avatar_split_clause,[],[f2930,f2717,f2713,f2947]) ).
tff(f2713,plain,
( spl184_25
<=> ( sF174 = 'fst$'(sF169) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_25])]) ).
tff(f2717,plain,
( spl184_26
<=> ( sF175 = 'snd$'(sF169) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_26])]) ).
tff(f2930,plain,
( ( 'pair$'(sF174,sF175) = sF169 )
| ~ spl184_25
| ~ spl184_26 ),
inference(forward_demodulation,[],[f2915,f2718]) ).
tff(f2718,plain,
( ( sF175 = 'snd$'(sF169) )
| ~ spl184_26 ),
inference(avatar_component_clause,[],[f2717]) ).
tff(f2915,plain,
( ( sF169 = 'pair$'(sF174,'snd$'(sF169)) )
| ~ spl184_25 ),
inference(superposition,[],[f1652,f2714]) ).
tff(f2714,plain,
( ( sF174 = 'fst$'(sF169) )
| ~ spl184_25 ),
inference(avatar_component_clause,[],[f2713]) ).
tff(f1652,plain,
! [X0: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( 'pair$'('fst$'(X0),'snd$'(X0)) = X0 ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( 'pair$'('fst$'(X0),'snd$'(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(f2949,plain,
( spl184_61
| ~ spl184_25
| ~ spl184_26 ),
inference(avatar_split_clause,[],[f2925,f2717,f2713,f2947]) ).
tff(f2925,plain,
( ( 'pair$'(sF174,sF175) = sF169 )
| ~ spl184_25
| ~ spl184_26 ),
inference(forward_demodulation,[],[f2922,f2714]) ).
tff(f2922,plain,
( ( sF169 = 'pair$'('fst$'(sF169),sF175) )
| ~ spl184_26 ),
inference(superposition,[],[f1652,f2718]) ).
tff(f2944,plain,
( spl184_60
| ~ spl184_38 ),
inference(avatar_split_clause,[],[f2907,f2766,f2909]) ).
tff(f2909,plain,
( spl184_60
<=> ( $sum(1,sF165) = sF166 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_60])]) ).
tff(f2907,plain,
( ( $sum(1,sF165) = sF166 )
| ~ spl184_38 ),
inference(superposition,[],[f2767,f799]) ).
tff(f799,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f2943,plain,
( spl184_60
| ~ spl184_38 ),
inference(avatar_split_clause,[],[f2901,f2766,f2909]) ).
tff(f2901,plain,
( ( $sum(1,sF165) = sF166 )
| ~ spl184_38 ),
inference(superposition,[],[f2767,f799]) ).
tff(f2932,plain,
( spl184_60
| ~ spl184_38 ),
inference(avatar_split_clause,[],[f2895,f2766,f2909]) ).
tff(f2895,plain,
( ( $sum(1,sF165) = sF166 )
| ~ spl184_38 ),
inference(superposition,[],[f799,f2767]) ).
tff(f2911,plain,
( spl184_60
| ~ spl184_38 ),
inference(avatar_split_clause,[],[f2891,f2766,f2909]) ).
tff(f2891,plain,
( ( $sum(1,sF165) = sF166 )
| ~ spl184_38 ),
inference(superposition,[],[f799,f2767]) ).
tff(f2882,plain,
spl184_59,
inference(avatar_split_clause,[],[f2584,f2880]) ).
tff(f2880,plain,
( spl184_59
<=> ( sF169 = 'foldl$'('gauss_Jordan_column_k_PA$',sF164,sF168) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_59])]) ).
tff(f2584,plain,
sF169 = 'foldl$'('gauss_Jordan_column_k_PA$',sF164,sF168),
introduced(function_definition,[]) ).
tff(f2878,plain,
( spl184_58
| ~ spl184_43 ),
inference(avatar_split_clause,[],[f2858,f2786,f2876]) ).
tff(f2876,plain,
( spl184_58
<=> ( sF174 = 'fst$'(sF179) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_58])]) ).
tff(f2858,plain,
( ( sF174 = 'fst$'(sF179) )
| ~ spl184_43 ),
inference(superposition,[],[f2428,f2787]) ).
tff(f2428,plain,
! [X0: 'A_c_vec_c_vec$',X1: 'Nat_a_b_vec_c_vec_prod$'] : ( 'fst$'('pair$'(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
! [X1: 'Nat_a_b_vec_c_vec_prod$',X0: 'A_c_vec_c_vec$'] : ( 'fst$'('pair$'(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom102) ).
tff(f2874,plain,
( spl184_57
| ~ spl184_36 ),
inference(avatar_split_clause,[],[f2857,f2758,f2872]) ).
tff(f2872,plain,
( spl184_57
<=> ( 'fst$'(sF164) = sF161 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_57])]) ).
tff(f2758,plain,
( spl184_36
<=> ( sF164 = 'pair$'(sF161,sF163) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_36])]) ).
tff(f2857,plain,
( ( 'fst$'(sF164) = sF161 )
| ~ spl184_36 ),
inference(superposition,[],[f2428,f2759]) ).
tff(f2759,plain,
( ( sF164 = 'pair$'(sF161,sF163) )
| ~ spl184_36 ),
inference(avatar_component_clause,[],[f2758]) ).
tff(f2870,plain,
spl184_56,
inference(avatar_split_clause,[],[f2490,f2868]) ).
tff(f2868,plain,
( spl184_56
<=> ( 'matrix_to_iarray$'('fst$'('a$a')) = 'fst$d'('b$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_56])]) ).
tff(f2490,plain,
'matrix_to_iarray$'('fst$'('a$a')) = 'fst$d'('b$'),
inference(cnf_transformation,[],[f62]) ).
tff(f62,axiom,
'matrix_to_iarray$'('fst$'('a$a')) = 'fst$d'('b$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom60) ).
tff(f2866,plain,
( spl184_55
| ~ spl184_42 ),
inference(avatar_split_clause,[],[f2851,f2782,f2864]) ).
tff(f2864,plain,
( spl184_55
<=> ( sF176 = 'fst$a'(sF178) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_55])]) ).
tff(f2851,plain,
( ( sF176 = 'fst$a'(sF178) )
| ~ spl184_42 ),
inference(superposition,[],[f2427,f2783]) ).
tff(f2427,plain,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'fst$a'('pair$a'(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f107]) ).
tff(f107,axiom,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'fst$a'('pair$a'(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom105) ).
tff(f2862,plain,
( spl184_54
| ~ spl184_35 ),
inference(avatar_split_clause,[],[f2850,f2754,f2860]) ).
tff(f2860,plain,
( spl184_54
<=> ( 'fst$a'(sF163) = sF162 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_54])]) ).
tff(f2754,plain,
( spl184_35
<=> ( sF163 = 'pair$a'(sF162,'a$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_35])]) ).
tff(f2850,plain,
( ( 'fst$a'(sF163) = sF162 )
| ~ spl184_35 ),
inference(superposition,[],[f2427,f2755]) ).
tff(f2755,plain,
( ( sF163 = 'pair$a'(sF162,'a$') )
| ~ spl184_35 ),
inference(avatar_component_clause,[],[f2754]) ).
tff(f2855,plain,
( spl184_53
| ~ spl184_37 ),
inference(avatar_split_clause,[],[f2848,f2762,f2853]) ).
tff(f2853,plain,
( spl184_53
<=> ( 'ka$' = 'nat$'(sF165) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_53])]) ).
tff(f2848,plain,
( ( 'ka$' = 'nat$'(sF165) )
| ~ spl184_37 ),
inference(superposition,[],[f2420,f2763]) ).
tff(f2420,plain,
! [X0: 'Nat$'] : ( 'nat$'('fun_app$b'('of_nat$',X0)) = X0 ),
inference(cnf_transformation,[],[f632]) ).
tff(f632,axiom,
! [X0: 'Nat$'] : ( 'nat$'('fun_app$b'('of_nat$',X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom630) ).
tff(f2847,plain,
( spl184_52
| ~ spl184_42 ),
inference(avatar_split_clause,[],[f2839,f2782,f2845]) ).
tff(f2845,plain,
( spl184_52
<=> ( sF177 = 'snd$a'(sF178) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_52])]) ).
tff(f2839,plain,
( ( sF177 = 'snd$a'(sF178) )
| ~ spl184_42 ),
inference(superposition,[],[f2325,f2783]) ).
tff(f2325,plain,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'snd$a'('pair$a'(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,axiom,
! [X1: 'A_b_vec_c_vec$',X0: 'Nat$'] : ( 'snd$a'('pair$a'(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom95) ).
tff(f2843,plain,
( spl184_51
| ~ spl184_35 ),
inference(avatar_split_clause,[],[f2838,f2754,f2841]) ).
tff(f2841,plain,
( spl184_51
<=> ( 'a$' = 'snd$a'(sF163) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_51])]) ).
tff(f2838,plain,
( ( 'a$' = 'snd$a'(sF163) )
| ~ spl184_35 ),
inference(superposition,[],[f2325,f2755]) ).
tff(f2830,plain,
( ~ spl184_50
| ~ spl184_47 ),
inference(avatar_split_clause,[],[f2824,f2804,f2828]) ).
tff(f2828,plain,
( spl184_50
<=> $less(sF166,sF165) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_50])]) ).
tff(f2804,plain,
( spl184_47
<=> $less(sF165,sF166) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_47])]) ).
tff(f2824,plain,
( ~ $less(sF166,sF165)
| ~ spl184_47 ),
inference(resolution,[],[f1668,f2805]) ).
tff(f2805,plain,
( $less(sF165,sF166)
| ~ spl184_47 ),
inference(avatar_component_clause,[],[f2804]) ).
tff(f1668,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f836]) ).
tff(f836,plain,
! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
<=> ( ( X0 = X1 )
| $less(X1,X0) ) ),
inference(rectify,[],[f649]) ).
tff(f649,plain,
! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
<=> ( $less(X0,X1)
| ( X0 = X1 ) ) ),
inference(theory_normalization,[],[f365]) ).
tff(f365,axiom,
! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
<=> ( $less(X0,X1)
| ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom363) ).
tff(f2820,plain,
( spl184_49
| ~ spl184_43 ),
inference(avatar_split_clause,[],[f2812,f2786,f2818]) ).
tff(f2818,plain,
( spl184_49
<=> ( sF178 = 'snd$'(sF179) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_49])]) ).
tff(f2812,plain,
( ( sF178 = 'snd$'(sF179) )
| ~ spl184_43 ),
inference(superposition,[],[f1648,f2787]) ).
tff(f1648,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$',X1: 'A_c_vec_c_vec$'] : ( 'snd$'('pair$'(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f1090]) ).
tff(f1090,plain,
! [X1: 'A_c_vec_c_vec$',X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$'('pair$'(X1,X0)) = X0 ),
inference(rectify,[],[f94]) ).
tff(f94,axiom,
! [X1: 'Nat_a_b_vec_c_vec_prod$',X0: 'A_c_vec_c_vec$'] : ( 'snd$'('pair$'(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom92) ).
tff(f2816,plain,
( spl184_48
| ~ spl184_36 ),
inference(avatar_split_clause,[],[f2811,f2758,f2814]) ).
tff(f2814,plain,
( spl184_48
<=> ( sF163 = 'snd$'(sF164) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_48])]) ).
tff(f2811,plain,
( ( sF163 = 'snd$'(sF164) )
| ~ spl184_36 ),
inference(superposition,[],[f1648,f2759]) ).
tff(f2806,plain,
( spl184_47
| ~ spl184_38 ),
inference(avatar_split_clause,[],[f2802,f2766,f2804]) ).
tff(f2802,plain,
( $less(sF165,sF166)
| ~ spl184_38 ),
inference(superposition,[],[f2347,f2767]) ).
tff(f2347,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(cnf_transformation,[],[f588]) ).
tff(f588,axiom,
! [X0: $int] : $less(X0,$sum(X0,1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom586) ).
tff(f2801,plain,
( ~ spl184_46
| ~ spl184_37 ),
inference(avatar_split_clause,[],[f2797,f2762,f2799]) ).
tff(f2799,plain,
( spl184_46
<=> $less(sF165,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_46])]) ).
tff(f2797,plain,
( ~ $less(sF165,0)
| ~ spl184_37 ),
inference(superposition,[],[f1842,f2763]) ).
tff(f1842,plain,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$',X0),0),
inference(cnf_transformation,[],[f757]) ).
tff(f757,plain,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$',X0),0),
inference(theory_normalization,[],[f631]) ).
tff(f631,axiom,
! [X0: 'Nat$'] : $lesseq(0,'fun_app$b'('of_nat$',X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom629) ).
tff(f2796,plain,
spl184_45,
inference(avatar_split_clause,[],[f2596,f2794]) ).
tff(f2596,plain,
'fun_app$'(sF180,sF167) = sF181,
introduced(function_definition,[]) ).
tff(f2792,plain,
spl184_44,
inference(avatar_split_clause,[],[f2595,f2790]) ).
tff(f2595,plain,
'fun_app$a'('gauss_Jordan_column_k_PA$',sF179) = sF180,
introduced(function_definition,[]) ).
tff(f2788,plain,
spl184_43,
inference(avatar_split_clause,[],[f2594,f2786]) ).
tff(f2594,plain,
'pair$'(sF174,sF178) = sF179,
introduced(function_definition,[]) ).
tff(f2784,plain,
spl184_42,
inference(avatar_split_clause,[],[f2593,f2782]) ).
tff(f2593,plain,
'pair$a'(sF176,sF177) = sF178,
introduced(function_definition,[]) ).
tff(f2780,plain,
spl184_41,
inference(avatar_split_clause,[],[f2586,f2778]) ).
tff(f2586,plain,
sF171 = 'fun_app$'(sF170,sF167),
introduced(function_definition,[]) ).
tff(f2776,plain,
spl184_40,
inference(avatar_split_clause,[],[f2585,f2774]) ).
tff(f2585,plain,
sF170 = 'fun_app$a'('gauss_Jordan_column_k_PA$',sF169),
introduced(function_definition,[]) ).
tff(f2772,plain,
spl184_39,
inference(avatar_split_clause,[],[f2583,f2770]) ).
tff(f2770,plain,
( spl184_39
<=> ( 'upt$'(sF162,sF167) = sF168 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_39])]) ).
tff(f2583,plain,
'upt$'(sF162,sF167) = sF168,
introduced(function_definition,[]) ).
tff(f2768,plain,
spl184_38,
inference(avatar_split_clause,[],[f2581,f2766]) ).
tff(f2581,plain,
sF166 = $sum(sF165,1),
introduced(function_definition,[]) ).
tff(f2764,plain,
spl184_37,
inference(avatar_split_clause,[],[f2580,f2762]) ).
tff(f2580,plain,
'fun_app$b'('of_nat$','ka$') = sF165,
introduced(function_definition,[]) ).
tff(f2760,plain,
spl184_36,
inference(avatar_split_clause,[],[f2579,f2758]) ).
tff(f2579,plain,
sF164 = 'pair$'(sF161,sF163),
introduced(function_definition,[]) ).
tff(f2756,plain,
spl184_35,
inference(avatar_split_clause,[],[f2578,f2754]) ).
tff(f2578,plain,
sF163 = 'pair$a'(sF162,'a$'),
introduced(function_definition,[]) ).
tff(f2751,plain,
spl184_34,
inference(avatar_split_clause,[],[f2377,f2749]) ).
tff(f2749,plain,
( spl184_34
<=> ( 'zero$g' = 'pair$h'(0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_34])]) ).
tff(f2377,plain,
'zero$g' = 'pair$h'(0,0),
inference(cnf_transformation,[],[f93]) ).
tff(f93,axiom,
'zero$g' = 'pair$h'(0,0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom91) ).
tff(f2747,plain,
spl184_33,
inference(avatar_split_clause,[],[f2314,f2745]) ).
tff(f2745,plain,
( spl184_33
<=> ( 'zero$i' = 'pair$a'('zero$d','zero$j') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_33])]) ).
tff(f2314,plain,
'zero$i' = 'pair$a'('zero$d','zero$j'),
inference(cnf_transformation,[],[f92]) ).
tff(f92,axiom,
'zero$i' = 'pair$a'('zero$d','zero$j'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom90) ).
tff(f2743,plain,
spl184_32,
inference(avatar_split_clause,[],[f2283,f2741]) ).
tff(f2741,plain,
( spl184_32
<=> ( 'zero$h' = 'pair$'('zero$a','zero$i') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_32])]) ).
tff(f2283,plain,
'zero$h' = 'pair$'('zero$a','zero$i'),
inference(cnf_transformation,[],[f91]) ).
tff(f91,axiom,
'zero$h' = 'pair$'('zero$a','zero$i'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom89) ).
tff(f2739,plain,
spl184_31,
inference(avatar_split_clause,[],[f1642,f2737]) ).
tff(f2737,plain,
( spl184_31
<=> ( 'plus$'('nat$'(1)) = 'suc$' ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_31])]) ).
tff(f1642,plain,
'plus$'('nat$'(1)) = 'suc$',
inference(cnf_transformation,[],[f599]) ).
tff(f599,axiom,
'plus$'('nat$'(1)) = 'suc$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom597) ).
tff(f2735,plain,
spl184_30,
inference(avatar_split_clause,[],[f2598,f2733]) ).
tff(f2598,plain,
sF183 = 'matrix_to_iarray$'(sF182),
introduced(function_definition,[]) ).
tff(f2731,plain,
spl184_29,
inference(avatar_split_clause,[],[f2597,f2729]) ).
tff(f2597,plain,
sF182 = 'fst$'(sF181),
introduced(function_definition,[]) ).
tff(f2727,plain,
spl184_28,
inference(avatar_split_clause,[],[f2592,f2725]) ).
tff(f2592,plain,
sF177 = 'snd$a'(sF175),
introduced(function_definition,[]) ).
tff(f2723,plain,
spl184_27,
inference(avatar_split_clause,[],[f2591,f2721]) ).
tff(f2591,plain,
'fst$a'(sF175) = sF176,
introduced(function_definition,[]) ).
tff(f2719,plain,
spl184_26,
inference(avatar_split_clause,[],[f2590,f2717]) ).
tff(f2590,plain,
sF175 = 'snd$'(sF169),
introduced(function_definition,[]) ).
tff(f2715,plain,
spl184_25,
inference(avatar_split_clause,[],[f2589,f2713]) ).
tff(f2589,plain,
sF174 = 'fst$'(sF169),
introduced(function_definition,[]) ).
tff(f2711,plain,
spl184_24,
inference(avatar_split_clause,[],[f2588,f2709]) ).
tff(f2588,plain,
'matrix_to_iarray$'(sF172) = sF173,
introduced(function_definition,[]) ).
tff(f2707,plain,
spl184_23,
inference(avatar_split_clause,[],[f2587,f2705]) ).
tff(f2587,plain,
sF172 = 'fst$'(sF171),
introduced(function_definition,[]) ).
tff(f2703,plain,
spl184_22,
inference(avatar_split_clause,[],[f2582,f2701]) ).
tff(f2701,plain,
( spl184_22
<=> ( 'nat$'(sF166) = sF167 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_22])]) ).
tff(f2582,plain,
'nat$'(sF166) = sF167,
introduced(function_definition,[]) ).
tff(f2699,plain,
spl184_21,
inference(avatar_split_clause,[],[f2577,f2697]) ).
tff(f2697,plain,
( spl184_21
<=> ( 'nat$'(0) = sF162 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_21])]) ).
tff(f2577,plain,
'nat$'(0) = sF162,
introduced(function_definition,[]) ).
tff(f2695,plain,
spl184_20,
inference(avatar_split_clause,[],[f2576,f2693]) ).
tff(f2693,plain,
( spl184_20
<=> ( 'mat$'('one$') = sF161 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_20])]) ).
tff(f2576,plain,
'mat$'('one$') = sF161,
introduced(function_definition,[]) ).
tff(f2691,plain,
spl184_19,
inference(avatar_split_clause,[],[f2547,f2689]) ).
tff(f2689,plain,
( spl184_19
<=> ( 'zero$a' = 'snd$j'('zero$c') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_19])]) ).
tff(f2547,plain,
'zero$a' = 'snd$j'('zero$c'),
inference(cnf_transformation,[],[f24]) ).
tff(f24,axiom,
'zero$a' = 'snd$j'('zero$c'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom22) ).
tff(f2687,plain,
spl184_18,
inference(avatar_split_clause,[],[f2396,f2685]) ).
tff(f2685,plain,
( spl184_18
<=> ( 'zero$i' = 'snd$'('zero$h') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_18])]) ).
tff(f2396,plain,
'zero$i' = 'snd$'('zero$h'),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
'zero$i' = 'snd$'('zero$h'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom27) ).
tff(f2683,plain,
spl184_17,
inference(avatar_split_clause,[],[f2385,f2681]) ).
tff(f2681,plain,
( spl184_17
<=> ( 'fst$j'('zero$c') = 'zero$d' ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_17])]) ).
tff(f2385,plain,
'fst$j'('zero$c') = 'zero$d',
inference(cnf_transformation,[],[f18]) ).
tff(f18,axiom,
'fst$j'('zero$c') = 'zero$d',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom16) ).
tff(f2679,plain,
spl184_16,
inference(avatar_split_clause,[],[f2349,f2677]) ).
tff(f2677,plain,
( spl184_16
<=> ( 0 = 'fst$g'('zero$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_16])]) ).
tff(f2349,plain,
0 = 'fst$g'('zero$b'),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
0 = 'fst$g'('zero$b'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).
tff(f2675,plain,
spl184_15,
inference(avatar_split_clause,[],[f2328,f2673]) ).
tff(f2673,plain,
( spl184_15
<=> ( 0 = 'snd$f'('zero$f') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_15])]) ).
tff(f2328,plain,
0 = 'snd$f'('zero$f'),
inference(cnf_transformation,[],[f25]) ).
tff(f25,axiom,
0 = 'snd$f'('zero$f'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom23) ).
tff(f2671,plain,
spl184_14,
inference(avatar_split_clause,[],[f2178,f2669]) ).
tff(f2669,plain,
( spl184_14
<=> ( 'zero$d' = 'snd$e'('zero$e') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_14])]) ).
tff(f2178,plain,
'zero$d' = 'snd$e'('zero$e'),
inference(cnf_transformation,[],[f26]) ).
tff(f26,axiom,
'zero$d' = 'snd$e'('zero$e'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom24) ).
tff(f2667,plain,
spl184_13,
inference(avatar_split_clause,[],[f2161,f2665]) ).
tff(f2665,plain,
( spl184_13
<=> ( 'zero$d' = 'fst$a'('zero$i') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_13])]) ).
tff(f2161,plain,
'zero$d' = 'fst$a'('zero$i'),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
'zero$d' = 'fst$a'('zero$i'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21) ).
tff(f2663,plain,
spl184_12,
inference(avatar_split_clause,[],[f2142,f2661]) ).
tff(f2661,plain,
( spl184_12
<=> ( 'zero$a' = 'fst$'('zero$h') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_12])]) ).
tff(f2142,plain,
'zero$a' = 'fst$'('zero$h'),
inference(cnf_transformation,[],[f22]) ).
tff(f22,axiom,
'zero$a' = 'fst$'('zero$h'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom20) ).
tff(f2659,plain,
spl184_11,
inference(avatar_split_clause,[],[f1994,f2657]) ).
tff(f2657,plain,
( spl184_11
<=> ( 0 = 'fst$h'('zero$g') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_11])]) ).
tff(f1994,plain,
0 = 'fst$h'('zero$g'),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
0 = 'fst$h'('zero$g'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).
tff(f2655,plain,
spl184_10,
inference(avatar_split_clause,[],[f1887,f2653]) ).
tff(f2653,plain,
( spl184_10
<=> ( 'zero$d' = 'snd$g'('zero$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_10])]) ).
tff(f1887,plain,
'zero$d' = 'snd$g'('zero$b'),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
'zero$d' = 'snd$g'('zero$b'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom25) ).
tff(f2651,plain,
spl184_9,
inference(avatar_split_clause,[],[f1886,f2649]) ).
tff(f2649,plain,
( spl184_9
<=> ( 'mat$'('zero$') = 'zero$a' ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_9])]) ).
tff(f1886,plain,
'mat$'('zero$') = 'zero$a',
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
'mat$'('zero$') = 'zero$a',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom14) ).
tff(f2647,plain,
spl184_8,
inference(avatar_split_clause,[],[f1803,f2645]) ).
tff(f2645,plain,
( spl184_8
<=> ( 'zero$d' = 'fst$f'('zero$f') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_8])]) ).
tff(f1803,plain,
'zero$d' = 'fst$f'('zero$f'),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
'zero$d' = 'fst$f'('zero$f'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).
tff(f2643,plain,
spl184_7,
inference(avatar_split_clause,[],[f1730,f2641]) ).
tff(f2641,plain,
( spl184_7
<=> ( 'snd$a'('zero$i') = 'zero$j' ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_7])]) ).
tff(f1730,plain,
'snd$a'('zero$i') = 'zero$j',
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
'snd$a'('zero$i') = 'zero$j',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom28) ).
tff(f2639,plain,
spl184_6,
inference(avatar_split_clause,[],[f1722,f2637]) ).
tff(f2637,plain,
( spl184_6
<=> ( 'zero$d' = 'fst$e'('zero$e') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_6])]) ).
tff(f1722,plain,
'zero$d' = 'fst$e'('zero$e'),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
'zero$d' = 'fst$e'('zero$e'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom17) ).
tff(f2635,plain,
spl184_5,
inference(avatar_split_clause,[],[f1671,f2633]) ).
tff(f2633,plain,
( spl184_5
<=> ( 0 = 'snd$h'('zero$g') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_5])]) ).
tff(f1671,plain,
0 = 'snd$h'('zero$g'),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
0 = 'snd$h'('zero$g'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom26) ).
tff(f2631,plain,
~ spl184_4,
inference(avatar_split_clause,[],[f2512,f2629]) ).
tff(f2629,plain,
( spl184_4
<=> ( tltrue = tlfalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_4])]) ).
tff(f2512,plain,
tltrue != tlfalse,
inference(cnf_transformation,[],[f635]) ).
tff(f635,axiom,
tltrue != tlfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_634) ).
tff(f2627,plain,
~ spl184_3,
inference(avatar_split_clause,[],[f2419,f2625]) ).
tff(f2625,plain,
( spl184_3
<=> ( 'one$' = 'zero$' ) ),
introduced(avatar_definition,[new_symbols(naming,[spl184_3])]) ).
tff(f2419,plain,
'one$' != 'zero$',
inference(cnf_transformation,[],[f276]) ).
tff(f276,axiom,
'one$' != 'zero$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom274) ).
tff(f2623,plain,
~ spl184_2,
inference(avatar_split_clause,[],[f2253,f2621]) ).
tff(f2621,plain,
( spl184_2
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl184_2])]) ).
tff(f2253,plain,
~ sP93,
inference(cnf_transformation,[],[f1555]) ).
tff(f1555,plain,
! [X2: $int,X0: $int,X1: $int] :
( $false
| ( $true
& ~ $less(X1,X0)
& ~ $less(X2,X1) )
| ( $true
& ~ $less(X0,X2)
& ~ $less(X1,X0) )
| ( $true
& ~ $less(X1,X2)
& ~ $less(X2,X0) )
| ( ~ $less(X0,X1)
& $true
& ~ $less(X2,X0) )
| ( ~ $less(X0,X1)
& ~ $less(X1,X2)
& $true )
| ( $true
& ~ $less(X2,X1)
& ~ $less(X0,X2) ) ),
inference(flattening,[],[f1554]) ).
tff(f1554,plain,
! [X2: $int,X0: $int,X1: $int] :
( $false
| ( $true
& ~ $less(X1,X2)
& ~ $less(X0,X1) )
| ( $true
& ~ $less(X1,X0)
& ~ $less(X0,X2) )
| ( $true
& ~ $less(X0,X1)
& ~ $less(X2,X0) )
| ( $true
& ~ $less(X2,X0)
& ~ $less(X1,X2) )
| ( $true
& ~ $less(X2,X1)
& ~ $less(X0,X2) )
| ( $true
& ~ $less(X2,X1)
& ~ $less(X1,X0) ) ),
inference(ennf_transformation,[],[f929]) ).
tff(f929,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ( ( ~ $less(X1,X2)
& ~ $less(X0,X1) )
=> $false )
& ( ( ~ $less(X1,X0)
& ~ $less(X0,X2) )
=> $false )
& ( ( ~ $less(X0,X1)
& ~ $less(X2,X0) )
=> $false )
& ( ( ~ $less(X2,X0)
& ~ $less(X1,X2) )
=> $false )
& ( ( ~ $less(X2,X1)
& ~ $less(X0,X2) )
=> $false )
& ( ( ~ $less(X2,X1)
& ~ $less(X1,X0) )
=> $false ) )
=> $false ),
inference(rectify,[],[f693]) ).
tff(f693,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( ( ( ~ $less(X0,X2)
& ~ $less(X1,X0) )
=> $false )
& ( ( ~ $less(X2,X1)
& ~ $less(X0,X2) )
=> $false )
& ( ( ~ $less(X1,X2)
& ~ $less(X0,X1) )
=> $false )
& ( ( ~ $less(X1,X0)
& ~ $less(X2,X1) )
=> $false )
& ( ( ~ $less(X2,X0)
& ~ $less(X0,X1) )
=> $false )
& ( ( ~ $less(X1,X2)
& ~ $less(X2,X0) )
=> $false ) )
=> $false ),
inference(theory_normalization,[],[f291]) ).
tff(f291,axiom,
! [X2: $int,X1: $int,X0: $int] :
( ( ( ( $lesseq(X2,X0)
& $lesseq(X0,X1) )
=> $false )
& ( ( $lesseq(X1,X2)
& $lesseq(X2,X0) )
=> $false )
& ( ( $lesseq(X2,X1)
& $lesseq(X1,X0) )
=> $false )
& ( ( $lesseq(X0,X1)
& $lesseq(X1,X2) )
=> $false )
& ( ( $lesseq(X0,X2)
& $lesseq(X1,X0) )
=> $false )
& ( ( $lesseq(X2,X1)
& $lesseq(X0,X2) )
=> $false ) )
=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom289) ).
tff(f2619,plain,
~ spl184_1,
inference(avatar_split_clause,[],[f2599,f2617]) ).
tff(f2599,plain,
sF183 != sF173,
inference(definition_folding,[],[f2044,f2598,f2597,f2596,f2582,f2581,f2580,f2595,f2594,f2593,f2592,f2590,f2584,f2583,f2582,f2581,f2580,f2577,f2579,f2578,f2577,f2576,f2591,f2590,f2584,f2583,f2582,f2581,f2580,f2577,f2579,f2578,f2577,f2576,f2589,f2584,f2583,f2582,f2581,f2580,f2577,f2579,f2578,f2577,f2576,f2588,f2587,f2586,f2582,f2581,f2580,f2585,f2584,f2583,f2582,f2581,f2580,f2577,f2579,f2578,f2577,f2576]) ).
tff(f2044,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
inference(cnf_transformation,[],[f1017]) ).
tff(f1017,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
( ( ~ 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) )
= 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) = 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 00:19:45 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.11/0.55 % (11450)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)
% 1.11/0.55 % (11450)Instruction limit reached!
% 1.11/0.55 % (11450)------------------------------
% 1.11/0.55 % (11450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.55 % (11450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.55 % (11450)Termination reason: Unknown
% 1.11/0.55 % (11450)Termination phase: shuffling
% 1.11/0.55
% 1.11/0.55 % (11450)Memory used [KB]: 1535
% 1.11/0.55 % (11450)Time elapsed: 0.003 s
% 1.11/0.55 % (11450)Instructions burned: 2 (million)
% 1.11/0.55 % (11450)------------------------------
% 1.11/0.55 % (11450)------------------------------
% 1.11/0.55 % (11435)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)
% 1.11/0.56 % (11446)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)
% 1.11/0.56 % (11441)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)
% 1.11/0.56 % (11442)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)
% 1.11/0.56 % (11463)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)
% 1.11/0.56 % (11458)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)
% 1.11/0.56 % (11464)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)
% 1.11/0.56 % (11444)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)
% 1.11/0.57 % (11444)Instruction limit reached!
% 1.11/0.57 % (11444)------------------------------
% 1.11/0.57 % (11444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.57 % (11445)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.11/0.57 % (11437)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)
% 1.11/0.57 % (11444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.57 % (11444)Termination reason: Unknown
% 1.11/0.57 % (11444)Termination phase: shuffling
% 1.11/0.57
% 1.11/0.57 % (11444)Memory used [KB]: 1535
% 1.11/0.57 % (11444)Time elapsed: 0.002 s
% 1.11/0.57 % (11444)Instructions burned: 2 (million)
% 1.11/0.57 % (11444)------------------------------
% 1.11/0.57 % (11444)------------------------------
% 1.11/0.57 % (11455)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)
% 1.11/0.57 % (11437)Instruction limit reached!
% 1.11/0.57 % (11437)------------------------------
% 1.11/0.57 % (11437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.57 % (11437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.57 % (11437)Termination reason: Unknown
% 1.11/0.57 % (11437)Termination phase: Property scanning
% 1.11/0.57
% 1.11/0.57 % (11437)Memory used [KB]: 1663
% 1.11/0.57 % (11437)Time elapsed: 0.006 s
% 1.11/0.57 % (11437)Instructions burned: 9 (million)
% 1.11/0.57 % (11437)------------------------------
% 1.11/0.57 % (11437)------------------------------
% 1.11/0.57 % (11457)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)
% 1.11/0.57 % (11461)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.11/0.57 % (11436)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)
% 1.11/0.57 % (11448)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.11/0.58 % (11453)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)
% 1.11/0.58 % (11446)Instruction limit reached!
% 1.11/0.58 % (11446)------------------------------
% 1.11/0.58 % (11446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.58 % (11446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.58 % (11446)Termination reason: Unknown
% 1.11/0.58 % (11446)Termination phase: Property scanning
% 1.11/0.58
% 1.11/0.58 % (11446)Memory used [KB]: 1663
% 1.11/0.58 % (11446)Time elapsed: 0.004 s
% 1.11/0.58 % (11446)Instructions burned: 5 (million)
% 1.11/0.58 % (11446)------------------------------
% 1.11/0.58 % (11446)------------------------------
% 1.11/0.58 % (11456)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)
% 1.11/0.58 % (11459)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)
% 1.11/0.58 % (11463)Instruction limit reached!
% 1.11/0.58 % (11463)------------------------------
% 1.11/0.58 % (11463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.58 % (11449)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)
% 1.11/0.58 % (11462)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.11/0.58 % (11438)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)
% 1.11/0.58 % (11438)Instruction limit reached!
% 1.11/0.58 % (11438)------------------------------
% 1.11/0.58 % (11438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.58 % (11438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.58 % (11438)Termination reason: Unknown
% 1.11/0.58 % (11438)Termination phase: shuffling
% 1.11/0.58
% 1.11/0.58 % (11438)Memory used [KB]: 1535
% 1.11/0.58 % (11438)Time elapsed: 0.002 s
% 1.11/0.58 % (11438)Instructions burned: 2 (million)
% 1.11/0.58 % (11438)------------------------------
% 1.11/0.58 % (11438)------------------------------
% 1.11/0.58 % (11463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.58 % (11463)Termination reason: Unknown
% 1.11/0.59 % (11463)Termination phase: Property scanning
% 1.11/0.59
% 1.11/0.59 % (11463)Memory used [KB]: 1663
% 1.11/0.59 % (11463)Time elapsed: 0.014 s
% 1.11/0.59 % (11463)Instructions burned: 21 (million)
% 1.11/0.59 % (11463)------------------------------
% 1.11/0.59 % (11463)------------------------------
% 1.11/0.59 % (11451)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.11/0.59 % (11440)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)
% 1.11/0.59 % (11451)Instruction limit reached!
% 1.11/0.59 % (11451)------------------------------
% 1.11/0.59 % (11451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11451)Termination reason: Unknown
% 1.11/0.59 % (11451)Termination phase: shuffling
% 1.11/0.59
% 1.11/0.59 % (11451)Memory used [KB]: 1535
% 1.11/0.59 % (11451)Time elapsed: 0.002 s
% 1.11/0.59 % (11451)Instructions burned: 2 (million)
% 1.11/0.59 % (11451)------------------------------
% 1.11/0.59 % (11451)------------------------------
% 1.11/0.59 % (11439)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)
% 1.11/0.59 % (11443)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)
% 1.11/0.59 % (11441)Instruction limit reached!
% 1.11/0.59 % (11441)------------------------------
% 1.11/0.59 % (11441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11441)Termination reason: Unknown
% 1.11/0.59 % (11441)Termination phase: shuffling
% 1.11/0.59
% 1.11/0.59 % (11441)Memory used [KB]: 1918
% 1.11/0.59 % (11441)Time elapsed: 0.014 s
% 1.11/0.59 % (11441)Instructions burned: 34 (million)
% 1.11/0.59 % (11441)------------------------------
% 1.11/0.59 % (11441)------------------------------
% 1.11/0.59 % (11442)Instruction limit reached!
% 1.11/0.59 % (11442)------------------------------
% 1.11/0.59 % (11442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11442)Termination reason: Unknown
% 1.11/0.59 % (11442)Termination phase: Naming
% 1.11/0.59
% 1.11/0.59 % (11442)Memory used [KB]: 2174
% 1.11/0.59 % (11442)Time elapsed: 0.019 s
% 1.11/0.59 % (11442)Instructions burned: 36 (million)
% 1.11/0.59 % (11442)------------------------------
% 1.11/0.59 % (11442)------------------------------
% 1.11/0.59 % (11440)Instruction limit reached!
% 1.11/0.59 % (11440)------------------------------
% 1.11/0.59 % (11440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11440)Termination reason: Unknown
% 1.11/0.59 % (11440)Termination phase: Property scanning
% 1.11/0.59
% 1.11/0.59 % (11440)Memory used [KB]: 1663
% 1.11/0.59 % (11440)Time elapsed: 0.008 s
% 1.11/0.59 % (11440)Instructions burned: 16 (million)
% 1.11/0.59 % (11440)------------------------------
% 1.11/0.59 % (11440)------------------------------
% 1.11/0.59 % (11455)Instruction limit reached!
% 1.11/0.59 % (11455)------------------------------
% 1.11/0.59 % (11455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11455)Termination reason: Unknown
% 1.11/0.59 % (11455)Termination phase: Property scanning
% 1.11/0.59
% 1.11/0.59 % (11455)Memory used [KB]: 1663
% 1.11/0.59 % (11455)Time elapsed: 0.007 s
% 1.11/0.59 % (11455)Instructions burned: 16 (million)
% 1.11/0.59 % (11455)------------------------------
% 1.11/0.59 % (11455)------------------------------
% 1.11/0.59 % (11454)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)
% 1.11/0.59 % (11460)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)
% 1.11/0.59 % (11454)Instruction limit reached!
% 1.11/0.59 % (11454)------------------------------
% 1.11/0.59 % (11454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.59 % (11454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.59 % (11454)Termination reason: Unknown
% 1.11/0.59 % (11454)Termination phase: shuffling
% 1.11/0.59
% 1.11/0.59 % (11454)Memory used [KB]: 1535
% 1.11/0.59 % (11454)Time elapsed: 0.002 s
% 1.11/0.59 % (11454)Instructions burned: 2 (million)
% 1.11/0.59 % (11454)------------------------------
% 1.11/0.59 % (11454)------------------------------
% 1.11/0.60 % (11447)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)
% 1.11/0.60 % (11448)Instruction limit reached!
% 1.11/0.60 % (11448)------------------------------
% 1.11/0.60 % (11448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.60 % (11448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.60 % (11448)Termination reason: Unknown
% 1.11/0.60 % (11448)Termination phase: Unused predicate definition removal
% 1.11/0.60
% 1.11/0.60 % (11448)Memory used [KB]: 1918
% 1.11/0.60 % (11448)Time elapsed: 0.009 s
% 1.11/0.60 % (11448)Instructions burned: 21 (million)
% 1.11/0.60 % (11448)------------------------------
% 1.11/0.60 % (11448)------------------------------
% 1.11/0.60 % (11447)Instruction limit reached!
% 1.11/0.60 % (11447)------------------------------
% 1.11/0.60 % (11447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.60 % (11447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.60 % (11447)Termination reason: Unknown
% 1.11/0.60 % (11447)Termination phase: shuffling
% 1.11/0.60
% 1.11/0.60 % (11447)Memory used [KB]: 1535
% 1.11/0.60 % (11447)Time elapsed: 0.003 s
% 1.11/0.60 % (11447)Instructions burned: 3 (million)
% 1.11/0.60 % (11447)------------------------------
% 1.11/0.60 % (11447)------------------------------
% 1.11/0.60 % (11452)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)
% 1.11/0.60 % (11456)Instruction limit reached!
% 1.11/0.60 % (11456)------------------------------
% 1.11/0.60 % (11456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.60 % (11456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.60 % (11456)Termination reason: Unknown
% 1.11/0.60 % (11456)Termination phase: shuffling
% 1.11/0.60
% 1.11/0.60 % (11456)Memory used [KB]: 1918
% 1.11/0.60 % (11456)Time elapsed: 0.009 s
% 1.11/0.60 % (11456)Instructions burned: 21 (million)
% 1.11/0.60 % (11456)------------------------------
% 1.11/0.60 % (11456)------------------------------
% 1.11/0.60 % (11443)Instruction limit reached!
% 1.11/0.60 % (11443)------------------------------
% 1.11/0.60 % (11443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.60 % (11443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.60 % (11443)Termination reason: Unknown
% 1.11/0.60 % (11443)Termination phase: Property scanning
% 1.11/0.60
% 1.11/0.60 % (11443)Memory used [KB]: 1663
% 1.11/0.60 % (11443)Time elapsed: 0.016 s
% 1.11/0.60 % (11443)Instructions burned: 26 (million)
% 1.11/0.60 % (11443)------------------------------
% 1.11/0.60 % (11443)------------------------------
% 1.11/0.61 % (11453)Instruction limit reached!
% 1.11/0.61 % (11453)------------------------------
% 1.11/0.61 % (11453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.61 % (11453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.61 % (11453)Termination reason: Unknown
% 1.11/0.61 % (11453)Termination phase: shuffling
% 1.11/0.61
% 1.11/0.61 % (11453)Memory used [KB]: 1663
% 1.11/0.61 % (11453)Time elapsed: 0.008 s
% 1.11/0.61 % (11453)Instructions burned: 16 (million)
% 1.11/0.61 % (11453)------------------------------
% 1.11/0.61 % (11453)------------------------------
% 1.11/0.61 % (11436)Instruction limit reached!
% 1.11/0.61 % (11436)------------------------------
% 1.11/0.61 % (11436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.61 % (11436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.61 % (11436)Termination reason: Unknown
% 1.11/0.61 % (11436)Termination phase: Preprocessing 3
% 1.11/0.61
% 1.11/0.61 % (11436)Memory used [KB]: 2174
% 1.11/0.61 % (11436)Time elapsed: 0.016 s
% 1.11/0.61 % (11436)Instructions burned: 35 (million)
% 1.11/0.61 % (11436)------------------------------
% 1.11/0.61 % (11436)------------------------------
% 1.11/0.62 % (11445)Instruction limit reached!
% 1.11/0.62 % (11445)------------------------------
% 1.11/0.62 % (11445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.62 % (11445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.62 % (11445)Termination reason: Unknown
% 1.11/0.62 % (11445)Termination phase: Naming
% 1.11/0.62
% 1.11/0.62 % (11445)Memory used [KB]: 2174
% 1.11/0.62 % (11445)Time elapsed: 0.017 s
% 1.11/0.62 % (11445)Instructions burned: 36 (million)
% 1.11/0.62 % (11445)------------------------------
% 1.11/0.62 % (11445)------------------------------
% 1.11/0.62 % (11462)Instruction limit reached!
% 1.11/0.62 % (11462)------------------------------
% 1.11/0.62 % (11462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.62 % (11462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.62 % (11462)Termination reason: Unknown
% 1.11/0.62 % (11462)Termination phase: shuffling
% 1.11/0.62
% 1.11/0.62 % (11462)Memory used [KB]: 1918
% 1.11/0.62 % (11462)Time elapsed: 0.010 s
% 1.11/0.62 % (11462)Instructions burned: 21 (million)
% 1.11/0.62 % (11462)------------------------------
% 1.11/0.62 % (11462)------------------------------
% 1.11/0.62 % (11464)Instruction limit reached!
% 1.11/0.62 % (11464)------------------------------
% 1.11/0.62 % (11464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.62 % (11464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.62 % (11464)Termination reason: Unknown
% 1.11/0.62 % (11464)Termination phase: Preprocessing 3
% 1.11/0.62
% 1.11/0.62 % (11464)Memory used [KB]: 2302
% 1.11/0.62 % (11464)Time elapsed: 0.022 s
% 1.11/0.62 % (11464)Instructions burned: 41 (million)
% 1.11/0.62 % (11464)------------------------------
% 1.11/0.62 % (11464)------------------------------
% 1.79/0.64 % (11459)Instruction limit reached!
% 1.79/0.64 % (11459)------------------------------
% 1.79/0.64 % (11459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (11459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (11459)Termination reason: Unknown
% 1.79/0.64 % (11459)Termination phase: Clausification
% 1.79/0.64
% 1.79/0.64 % (11459)Memory used [KB]: 2814
% 1.79/0.64 % (11459)Time elapsed: 0.020 s
% 1.79/0.64 % (11459)Instructions burned: 47 (million)
% 1.79/0.64 % (11459)------------------------------
% 1.79/0.64 % (11459)------------------------------
% 1.79/0.64 % (11439)Instruction limit reached!
% 1.79/0.64 % (11439)------------------------------
% 1.79/0.64 % (11439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (11439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (11439)Termination reason: Unknown
% 1.79/0.64 % (11439)Termination phase: Preprocessing 2
% 1.79/0.64
% 1.79/0.64 % (11439)Memory used [KB]: 2046
% 1.79/0.64 % (11439)Time elapsed: 0.017 s
% 1.79/0.64 % (11439)Instructions burned: 37 (million)
% 1.79/0.64 % (11439)------------------------------
% 1.79/0.64 % (11439)------------------------------
% 1.79/0.64 % (11458)Instruction limit reached!
% 1.79/0.64 % (11458)------------------------------
% 1.79/0.64 % (11458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (11458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (11458)Termination reason: Unknown
% 1.79/0.64 % (11458)Termination phase: Property scanning
% 1.79/0.64
% 1.79/0.64 % (11458)Memory used [KB]: 2942
% 1.79/0.64 % (11458)Time elapsed: 0.024 s
% 1.79/0.64 % (11458)Instructions burned: 51 (million)
% 1.79/0.64 % (11458)------------------------------
% 1.79/0.64 % (11458)------------------------------
% 1.79/0.65 % (11457)Instruction limit reached!
% 1.79/0.65 % (11457)------------------------------
% 1.79/0.65 % (11457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65 % (11457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (11457)Termination reason: Unknown
% 1.79/0.65 % (11457)Termination phase: Preprocessing 3
% 1.79/0.65
% 1.79/0.65 % (11457)Memory used [KB]: 2302
% 1.79/0.65 % (11457)Time elapsed: 0.022 s
% 1.79/0.65 % (11457)Instructions burned: 47 (million)
% 1.79/0.65 % (11457)------------------------------
% 1.79/0.65 % (11457)------------------------------
% 1.79/0.65 % (11461)Instruction limit reached!
% 1.79/0.65 % (11461)------------------------------
% 1.79/0.65 % (11461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65 % (11461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (11461)Termination reason: Unknown
% 1.79/0.65 % (11461)Termination phase: Preprocessing 3
% 1.79/0.65
% 1.79/0.65 % (11461)Memory used [KB]: 2558
% 1.79/0.65 % (11461)Time elapsed: 0.021 s
% 1.79/0.65 % (11461)Instructions burned: 45 (million)
% 1.79/0.65 % (11461)------------------------------
% 1.79/0.65 % (11461)------------------------------
% 1.79/0.65 % (11460)Instruction limit reached!
% 1.79/0.65 % (11460)------------------------------
% 1.79/0.65 % (11460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65 % (11460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (11460)Termination reason: Unknown
% 1.79/0.65 % (11460)Termination phase: Preprocessing 3
% 1.79/0.65
% 1.79/0.65 % (11460)Memory used [KB]: 2302
% 1.79/0.65 % (11460)Time elapsed: 0.019 s
% 1.79/0.65 % (11460)Instructions burned: 43 (million)
% 1.79/0.65 % (11460)------------------------------
% 1.79/0.65 % (11460)------------------------------
% 1.79/0.66 % (11449)Instruction limit reached!
% 1.79/0.66 % (11449)------------------------------
% 1.79/0.66 % (11449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.66 % (11449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.66 % (11449)Termination reason: Unknown
% 1.79/0.66 % (11449)Termination phase: Property scanning
% 1.79/0.66
% 1.79/0.66 % (11449)Memory used [KB]: 2814
% 1.79/0.66 % (11449)Time elapsed: 0.022 s
% 1.79/0.66 % (11449)Instructions burned: 50 (million)
% 1.79/0.66 % (11449)------------------------------
% 1.79/0.66 % (11449)------------------------------
% 1.79/0.67 % (11518)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.79/0.67 % (11522)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 (2998ds/47Mi)
% 1.79/0.68 % (11524)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)
% 1.79/0.68 % (11452)Instruction limit reached!
% 1.79/0.68 % (11452)------------------------------
% 1.79/0.68 % (11452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.69 % (11518)Instruction limit reached!
% 1.79/0.69 % (11518)------------------------------
% 1.79/0.69 % (11518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.69 % (11518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.69 % (11518)Termination reason: Unknown
% 1.79/0.69 % (11518)Termination phase: shuffling
% 1.79/0.69
% 1.79/0.69 % (11518)Memory used [KB]: 1663
% 1.79/0.69 % (11518)Time elapsed: 0.008 s
% 1.79/0.69 % (11518)Instructions burned: 16 (million)
% 1.79/0.69 % (11518)------------------------------
% 1.79/0.69 % (11518)------------------------------
% 1.79/0.69 % (11452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.69 % (11452)Termination reason: Unknown
% 1.79/0.69 % (11452)Termination phase: Preprocessing 3
% 1.79/0.69
% 1.79/0.69 % (11452)Memory used [KB]: 2686
% 1.79/0.69 % (11452)Time elapsed: 0.023 s
% 1.79/0.69 % (11452)Instructions burned: 51 (million)
% 1.79/0.69 % (11452)------------------------------
% 1.79/0.69 % (11452)------------------------------
% 1.93/0.70 % (11535)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)
% 1.93/0.70 % (11532)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)
% 1.93/0.71 % (11526)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)
% 1.93/0.71 % (11530)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)
% 1.93/0.72 % (11536)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 1.93/0.72 % (11524)Instruction limit reached!
% 1.93/0.72 % (11524)------------------------------
% 1.93/0.72 % (11524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.72 % (11524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.72 % (11524)Termination reason: Unknown
% 1.93/0.72 % (11524)Termination phase: Preprocessing 3
% 1.93/0.72
% 1.93/0.72 % (11524)Memory used [KB]: 2302
% 1.93/0.72 % (11524)Time elapsed: 0.013 s
% 1.93/0.72 % (11524)Instructions burned: 26 (million)
% 1.93/0.72 % (11524)------------------------------
% 1.93/0.72 % (11524)------------------------------
% 1.93/0.72 % (11545)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)
% 1.93/0.72 % (11541)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)
% 1.93/0.73 % (11556)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)
% 1.93/0.73 % (11537)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)
% 1.93/0.73 % (11550)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)
% 1.93/0.73 % (11559)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)
% 1.93/0.73 % (11539)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)
% 1.93/0.74 % (11522)Instruction limit reached!
% 1.93/0.74 % (11522)------------------------------
% 1.93/0.74 % (11522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.74 % (11522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.74 % (11522)Termination reason: Unknown
% 1.93/0.74 % (11522)Termination phase: Property scanning
% 1.93/0.74
% 1.93/0.74 % (11522)Memory used [KB]: 2558
% 1.93/0.74 % (11522)Time elapsed: 0.023 s
% 1.93/0.74 % (11522)Instructions burned: 48 (million)
% 1.93/0.74 % (11522)------------------------------
% 1.93/0.74 % (11522)------------------------------
% 1.93/0.74 % (11567)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)
% 1.93/0.74 % (11554)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)
% 1.93/0.74 % (11557)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)
% 1.93/0.75 % (11571)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)
% 2.03/0.75 % (11568)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)
% 2.03/0.76 % (11552)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)
% 2.03/0.76 % (11598)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 (2997ds/374Mi)
% 2.03/0.76 % (11535)Instruction limit reached!
% 2.03/0.76 % (11535)------------------------------
% 2.03/0.76 % (11535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.76 % (11535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.76 % (11535)Termination reason: Unknown
% 2.03/0.76 % (11535)Termination phase: Property scanning
% 2.03/0.76
% 2.03/0.76 % (11535)Memory used [KB]: 2814
% 2.03/0.76 % (11535)Time elapsed: 0.024 s
% 2.03/0.76 % (11535)Instructions burned: 58 (million)
% 2.03/0.76 % (11535)------------------------------
% 2.03/0.76 % (11535)------------------------------
% 2.03/0.77 % (11600)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 (2997ds/500Mi)
% 2.03/0.77 % (11592)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 (2997ds/294Mi)
% 2.03/0.78 % (11588)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 (2997ds/330Mi)
% 2.03/0.78 % (11594)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.03/0.79 % (11587)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.03/0.79 % (11611)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)
% 2.10/0.80 % (11622)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)
% 2.10/0.81 % (11532)Instruction limit reached!
% 2.10/0.81 % (11532)------------------------------
% 2.10/0.81 % (11532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.81 % (11532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.81 % (11532)Termination reason: Unknown
% 2.10/0.81 % (11532)Termination phase: Property scanning
% 2.10/0.81
% 2.10/0.81 % (11532)Memory used [KB]: 2942
% 2.10/0.81 % (11532)Time elapsed: 0.037 s
% 2.10/0.81 % (11532)Instructions burned: 77 (million)
% 2.10/0.81 % (11532)------------------------------
% 2.10/0.81 % (11532)------------------------------
% 2.10/0.82 % (11625)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)
% 2.17/0.85 % (11645)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 (2996ds/256Mi)
% 2.17/0.85 % (11567)Instruction limit reached!
% 2.17/0.85 % (11567)------------------------------
% 2.17/0.85 % (11567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.85 % (11567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.85 % (11567)Termination reason: Unknown
% 2.17/0.85 % (11567)Termination phase: Blocked clause elimination
% 2.17/0.85
% 2.17/0.85 % (11567)Memory used [KB]: 3070
% 2.17/0.85 % (11567)Time elapsed: 0.034 s
% 2.17/0.85 % (11567)Instructions burned: 82 (million)
% 2.17/0.85 % (11567)------------------------------
% 2.17/0.85 % (11567)------------------------------
% 2.17/0.85 % (11530)Instruction limit reached!
% 2.17/0.85 % (11530)------------------------------
% 2.17/0.85 % (11530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.85 % (11530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.85 % (11530)Termination reason: Unknown
% 2.17/0.85 % (11530)Termination phase: Saturation
% 2.17/0.85
% 2.17/0.85 % (11530)Memory used [KB]: 7803
% 2.17/0.85 % (11530)Time elapsed: 0.053 s
% 2.17/0.85 % (11530)Instructions burned: 100 (million)
% 2.17/0.85 % (11530)------------------------------
% 2.17/0.85 % (11530)------------------------------
% 2.17/0.86 % (11639)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)
% 2.17/0.86 % (11536)Instruction limit reached!
% 2.17/0.86 % (11536)------------------------------
% 2.17/0.86 % (11536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.86 % (11435)First to succeed.
% 2.17/0.87 % (11536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.87 % (11536)Termination reason: Unknown
% 2.17/0.87 % (11536)Termination phase: Saturation
% 2.17/0.87
% 2.17/0.87 % (11536)Memory used [KB]: 3070
% 2.17/0.87 % (11536)Time elapsed: 0.042 s
% 2.17/0.87 % (11536)Instructions burned: 99 (million)
% 2.17/0.87 % (11536)------------------------------
% 2.17/0.87 % (11536)------------------------------
% 2.17/0.88 % (11550)Also succeeded, but the first one will report.
% 2.17/0.88 % (11435)Refutation found. Thanks to Tanya!
% 2.17/0.88 % SZS status Theorem for theBenchmark
% 2.17/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.88 % (11435)------------------------------
% 2.17/0.88 % (11435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.88 % (11435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.88 % (11435)Termination reason: Refutation
% 2.17/0.88
% 2.17/0.88 % (11435)Memory used [KB]: 3326
% 2.17/0.88 % (11435)Time elapsed: 0.352 s
% 2.17/0.88 % (11435)Instructions burned: 219 (million)
% 2.17/0.88 % (11435)------------------------------
% 2.17/0.88 % (11435)------------------------------
% 2.17/0.88 % (11434)Success in time 0.515 s
%------------------------------------------------------------------------------