TSTP Solution File: ITP339_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n011.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 17:27:16 EDT 2022
% Result : Theorem 2.16s 0.72s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 337
% Syntax : Number of formulae : 354 ( 21 unt; 332 typ; 0 def)
% Number of atoms : 24 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 168 ( 0 atm; 52 fun; 116 num; 0 var)
% Number of types : 50 ( 48 usr; 1 ari)
% Number of type conns : 367 ( 256 >; 111 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 272 ( 268 usr; 31 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% 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,
sK3: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_117,type,
sK4: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_118,type,
sK5: 'Int_int_fun$' > $int ).
tff(func_def_119,type,
sK6: 'Int_int_fun$' > $int ).
tff(func_def_120,type,
sK7: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_121,type,
sK8: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat$' ).
tff(func_def_122,type,
sK9: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_123,type,
sK10: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_124,type,
sK11: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_125,type,
sK12: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_126,type,
sK13: 'Int_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_127,type,
sK14: 'Int_nat_prod_bool_fun$' > $int ).
tff(func_def_128,type,
sK15: ( 'Nat_a_iarray_iarray_prod$' * 'A_iarray_iarray$' ) > 'Nat$' ).
tff(func_def_129,type,
sK16: ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_130,type,
sK17: ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_131,type,
sK18: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_132,type,
sK19: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_133,type,
sK20: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_134,type,
sK21: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_135,type,
sK22: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK23: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_137,type,
sK24: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_138,type,
sK25: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_139,type,
sK26: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_140,type,
sK27: 'Int_int_fun$' > $int ).
tff(func_def_141,type,
sK28: 'Int_int_fun$' > $int ).
tff(func_def_142,type,
sK29: 'Int_int_fun$' > $int ).
tff(func_def_143,type,
sK30: 'Int_int_fun$' > $int ).
tff(func_def_144,type,
sK31: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_145,type,
sK32: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_146,type,
sK33: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_147,type,
sK34: 'Nat$' > 'Nat$' ).
tff(func_def_148,type,
sK35: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_149,type,
sK36: 'Int_int_fun$' > $int ).
tff(func_def_150,type,
sK37: 'Int_int_fun$' > $int ).
tff(func_def_151,type,
sK38: 'Int_int_fun$' > $int ).
tff(func_def_152,type,
sK39: 'Int_int_fun$' > $int ).
tff(func_def_153,type,
sK40: 'Int_int_prod_bool_fun$' > $int ).
tff(func_def_154,type,
sK41: 'Int_int_prod_bool_fun$' > $int ).
tff(func_def_155,type,
sK42: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_156,type,
sK43: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_157,type,
sK44: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_158,type,
sK45: ( 'Nat_a_b_vec_c_vec_prod$' * 'Nat$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_159,type,
sK46: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK47: ( 'A_b_vec_c_vec$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'Nat$' ).
tff(func_def_161,type,
sK48: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_162,type,
sK49: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_163,type,
sK50: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_164,type,
sK51: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_165,type,
sK52: 'Int_int_fun$' > $int ).
tff(func_def_166,type,
sK53: 'Int_int_fun$' > $int ).
tff(func_def_167,type,
sK54: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_168,type,
sK55: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_169,type,
sK56: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_170,type,
sK57: 'Nat_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_171,type,
sK58: 'Nat_nat_prod_bool_fun$' > 'Nat$' ).
tff(func_def_172,type,
sK59: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_173,type,
sK60: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_174,type,
sK61: ( 'Nat_a_iarray_iarray_prod$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_175,type,
sK62: 'Int_int_fun$' > $int ).
tff(func_def_176,type,
sK63: 'Int_int_fun$' > $int ).
tff(func_def_177,type,
sK64: ( 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_178,type,
sK65: ( '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$' ).
tff(func_def_179,type,
sK66: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_180,type,
sK67: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_181,type,
sK68: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_182,type,
sK69: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_183,type,
sK70: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_184,type,
sK71: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_185,type,
sK72: 'Int_int_fun$' > $int ).
tff(func_def_186,type,
sK73: 'Int_int_fun$' > $int ).
tff(func_def_187,type,
sK74: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_188,type,
sK75: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_189,type,
sK76: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_190,type,
sK77: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_b_vec_c_vec$' ).
tff(func_def_191,type,
sK78: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_192,type,
sK79: '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,
sK80: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_194,type,
sK81: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_195,type,
sK82: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_196,type,
sK83: 'Int_int_fun$' > $int ).
tff(func_def_197,type,
sK84: 'Int_int_fun$' > $int ).
tff(func_def_198,type,
sK85: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_199,type,
sK86: 'Int_int_fun$' > $int ).
tff(func_def_200,type,
sK87: 'Int_int_fun$' > $int ).
tff(func_def_201,type,
sK88: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_202,type,
sK89: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_203,type,
sK90: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_204,type,
sK91: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_205,type,
sK92: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_206,type,
sK93: 'Nat_int_prod_bool_fun$' > $int ).
tff(func_def_207,type,
sK94: 'Nat_int_prod_bool_fun$' > 'Nat$' ).
tff(func_def_208,type,
sK95: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_209,type,
sK96: 'Int_int_prod$' > $int ).
tff(func_def_210,type,
sK97: 'Int_int_prod$' > $int ).
tff(func_def_211,type,
sK98: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_212,type,
sK99: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_213,type,
sK100: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_214,type,
sK101: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_215,type,
sK102: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_216,type,
sK103: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_217,type,
sK104: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_218,type,
sK105: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_219,type,
sK106: 'Nat$' > 'Nat$' ).
tff(func_def_220,type,
sK107: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'Nat$' ).
tff(func_def_221,type,
sK108: 'Nat_a_iarray_iarray_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_222,type,
sK109: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_223,type,
sK110: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_224,type,
sK111: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_225,type,
sK112: 'Int_int_fun$' > $int ).
tff(func_def_226,type,
sK113: 'Int_int_fun$' > $int ).
tff(func_def_227,type,
sK114: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'Nat$' ).
tff(func_def_228,type,
sK115: 'Nat_a_b_vec_c_vec_prod_bool_fun$' > 'A_b_vec_c_vec$' ).
tff(func_def_229,type,
sK116: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_230,type,
sK117: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_231,type,
sK118: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_232,type,
sK119: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod_bool_fun$' > 'A_c_vec_c_vec$' ).
tff(func_def_233,type,
sK120: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_234,type,
sK121: 'Nat$' > 'Nat$' ).
tff(func_def_235,type,
sK122: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_236,type,
sK123: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_237,type,
sK124: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_238,type,
sK125: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_239,type,
sK126: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_240,type,
sK127: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_241,type,
sK128: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod_bool_fun$' > 'A_iarray_iarray$' ).
tff(func_def_242,type,
sK129: 'Nat$' > 'Nat$' ).
tff(func_def_243,type,
sK130: ( 'Nat_a_iarray_iarray_prod$' * 'Nat$' ) > 'A_iarray_iarray$' ).
tff(func_def_244,type,
sK131: ( 'A_iarray_iarray$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_245,type,
sK132: 'Int_int_fun$' > $int ).
tff(func_def_246,type,
sK133: 'Int_int_fun$' > $int ).
tff(func_def_247,type,
sK134: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_248,type,
sK135: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_249,type,
sK136: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_250,type,
sK137: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_251,type,
sK138: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_252,type,
sK139: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_253,type,
sK140: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_254,type,
sK141: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_255,type,
sK142: 'Nat$' > 'Nat$' ).
tff(func_def_256,type,
sK143: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_257,type,
sK144: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_258,type,
sK145: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_259,type,
sK146: $int > $int ).
tff(func_def_260,type,
sK147: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_261,type,
sK148: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_262,type,
sK149: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat$' ).
tff(func_def_263,type,
sK150: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_264,type,
sK151: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_265,type,
sK152: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_266,type,
sK153: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_267,type,
sK154: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_268,type,
sK155: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_269,type,
sK156: $int > $int ).
tff(func_def_270,type,
sK157: 'Nat_a_iarray_prod_bool_fun$' > 'A_iarray$' ).
tff(func_def_271,type,
sK158: 'Nat_a_iarray_prod_bool_fun$' > 'Nat$' ).
tff(pred_def_1,type,
'fun_app$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,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_17,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_18,type,
sP2: ( $int * $int * $int ) > $o ).
tff(f3674,plain,
$false,
inference(trivial_inequality_removal,[],[f3673]) ).
tff(f3673,plain,
'matrix_to_iarray$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))) != 'matrix_to_iarray$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))),
inference(forward_demodulation,[],[f3672,f3670]) ).
tff(f3670,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) = 'matrix_to_iarray$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))),
inference(forward_demodulation,[],[f3632,f2981]) ).
tff(f2981,plain,
'foldl$'('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)))) = 'a$a',
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
'foldl$'('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)))) = 'a$a',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).
tff(f3632,plain,
'matrix_to_iarray$'('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$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))),
inference(evaluation,[],[f2609]) ).
tff(f2609,plain,
'matrix_to_iarray$'('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$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum($sum('fun_app$b'('of_nat$','ka$'),1),1)))))),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
'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$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum($sum('fun_app$b'('of_nat$','ka$'),1),1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
tff(f3672,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))),
inference(backward_demodulation,[],[f3671,f2601]) ).
tff(f2601,plain,
! [X0: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( '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$'(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(f3671,plain,
'matrix_to_iarray$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(2,'fun_app$b'('of_nat$','ka$'))))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('a$a'),'snd$'('a$a'))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
inference(backward_demodulation,[],[f3669,f3670]) ).
tff(f3669,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('a$a'),'snd$'('a$a'))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
inference(forward_demodulation,[],[f3668,f2981]) ).
tff(f3668,plain,
'matrix_to_iarray$'('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))))),'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$'),1))))),
inference(forward_demodulation,[],[f2863,f3281]) ).
tff(f3281,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0 ),
inference(cnf_transformation,[],[f1037]) ).
tff(f1037,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] : ( 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0 ),
inference(flattening,[],[f1036]) ).
tff(f1036,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] :
( ( ~ ~ 'pair$a'('fst$a'(X0),'snd$a'(X0)) )
= X0 ),
inference(true_and_false_elimination,[],[f36]) ).
tff(f36,axiom,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] :
( ( ( 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0 )
=> $false )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).
tff(f2863,plain,
'matrix_to_iarray$'('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,[],[f917]) ).
tff(f917,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/sandbox2/benchmark/theBenchmark.p',conjecture0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:15:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.04/0.57 % (23434)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.04/0.58 % (23424)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.04/0.58 % (23408)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.04/0.58 % (23422)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.04/0.59 % (23414)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.04/0.59 % (23415)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.04/0.59 % (23410)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.04/0.59 % (23432)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.04/0.59 % (23423)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.04/0.59 % (23430)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.04/0.59 % (23411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.04/0.59 % (23416)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.04/0.60 % (23415)Instruction limit reached!
% 1.04/0.60 % (23415)------------------------------
% 1.04/0.60 % (23415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.04/0.60 % (23415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.04/0.60 % (23415)Termination reason: Unknown
% 1.04/0.60 % (23415)Termination phase: Property scanning
% 1.04/0.60
% 1.04/0.60 % (23415)Memory used [KB]: 1535
% 1.04/0.60 % (23415)Time elapsed: 0.006 s
% 1.04/0.60 % (23415)Instructions burned: 8 (million)
% 1.04/0.60 % (23415)------------------------------
% 1.04/0.60 % (23415)------------------------------
% 1.04/0.60 % (23416)Instruction limit reached!
% 1.04/0.60 % (23416)------------------------------
% 1.04/0.60 % (23416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.04/0.60 % (23416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.04/0.60 % (23416)Termination reason: Unknown
% 1.04/0.60 % (23416)Termination phase: shuffling
% 1.04/0.60
% 1.04/0.60 % (23416)Memory used [KB]: 1535
% 1.04/0.60 % (23416)Time elapsed: 0.002 s
% 1.04/0.60 % (23416)Instructions burned: 2 (million)
% 1.04/0.60 % (23416)------------------------------
% 1.04/0.60 % (23416)------------------------------
% 1.04/0.60 % (23437)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.04/0.60 % (23412)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.04/0.60 % (23418)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.04/0.60 % (23413)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.04/0.60 % (23425)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.04/0.60 % (23419)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.04/0.60 % (23429)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.04/0.60 % (23435)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.04/0.60 % (23436)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.04/0.60 % (23417)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.04/0.61 % (23433)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.04/0.61 % (23431)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.04/0.61 % (23428)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.04/0.61 % (23409)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.04/0.61 % (23421)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.04/0.61 % (23426)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.04/0.61 % (23420)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.04/0.61 % (23427)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.04/0.64 % (23410)Instruction limit reached!
% 1.04/0.64 % (23410)------------------------------
% 1.04/0.64 % (23410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.65 % (23422)Instruction limit reached!
% 1.77/0.65 % (23422)------------------------------
% 1.77/0.65 % (23422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.65 % (23414)Instruction limit reached!
% 1.77/0.65 % (23414)------------------------------
% 1.77/0.65 % (23414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.66 % (23410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.66 % (23410)Termination reason: Unknown
% 1.77/0.66 % (23410)Termination phase: shuffling
% 1.77/0.66
% 1.77/0.66 % (23410)Memory used [KB]: 1918
% 1.77/0.66 % (23410)Time elapsed: 0.017 s
% 1.77/0.66 % (23410)Instructions burned: 38 (million)
% 1.77/0.66 % (23410)------------------------------
% 1.77/0.66 % (23410)------------------------------
% 1.77/0.66 % (23414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.66 % (23414)Termination reason: Unknown
% 1.77/0.66 % (23414)Termination phase: Property scanning
% 1.77/0.66
% 1.77/0.66 % (23414)Memory used [KB]: 2814
% 1.77/0.66 % (23414)Time elapsed: 0.023 s
% 1.77/0.66 % (23414)Instructions burned: 52 (million)
% 1.77/0.66 % (23414)------------------------------
% 1.77/0.66 % (23414)------------------------------
% 1.77/0.66 % (23411)Instruction limit reached!
% 1.77/0.66 % (23411)------------------------------
% 1.77/0.66 % (23411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.67 % (23434)Instruction limit reached!
% 1.77/0.67 % (23434)------------------------------
% 1.77/0.67 % (23434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.67 % (23417)Instruction limit reached!
% 1.77/0.67 % (23417)------------------------------
% 1.77/0.67 % (23417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.67 % (23413)Instruction limit reached!
% 1.77/0.67 % (23413)------------------------------
% 1.77/0.67 % (23413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.67 % (23413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.67 % (23413)Termination reason: Unknown
% 1.77/0.67 % (23413)Termination phase: Property scanning
% 1.77/0.67
% 1.77/0.67 % (23413)Memory used [KB]: 2814
% 1.77/0.67 % (23413)Time elapsed: 0.023 s
% 1.77/0.67 % (23413)Instructions burned: 50 (million)
% 1.77/0.67 % (23413)------------------------------
% 1.77/0.67 % (23413)------------------------------
% 1.77/0.67 % (23423)Instruction limit reached!
% 1.77/0.67 % (23423)------------------------------
% 1.77/0.67 % (23423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.67 % (23423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.67 % (23423)Termination reason: Unknown
% 1.77/0.67 % (23423)Termination phase: Saturation
% 1.77/0.67
% 1.77/0.67 % (23423)Memory used [KB]: 2942
% 1.77/0.67 % (23423)Time elapsed: 0.033 s
% 1.77/0.67 % (23423)Instructions burned: 77 (million)
% 1.77/0.67 % (23423)------------------------------
% 1.77/0.67 % (23423)------------------------------
% 1.77/0.67 % (23422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.67 % (23422)Termination reason: Unknown
% 1.77/0.67 % (23422)Termination phase: Property scanning
% 1.77/0.67
% 1.77/0.67 % (23422)Memory used [KB]: 3198
% 1.77/0.67 % (23422)Time elapsed: 0.030 s
% 1.77/0.67 % (23422)Instructions burned: 71 (million)
% 1.77/0.67 % (23422)------------------------------
% 1.77/0.67 % (23422)------------------------------
% 1.77/0.68 % (23408)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.77/0.68 % (23408)Terminated due to inappropriate strategy.
% 1.77/0.68 % (23408)------------------------------
% 1.77/0.68 % (23408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.68 % (23408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23408)Termination reason: Inappropriate
% 1.77/0.68
% 1.77/0.68 % (23408)Memory used [KB]: 3070
% 1.77/0.68 % (23408)Time elapsed: 0.039 s
% 1.77/0.68 % (23408)Instructions burned: 96 (million)
% 1.77/0.68 % (23408)------------------------------
% 1.77/0.68 % (23408)------------------------------
% 1.77/0.68 % (23418)Instruction limit reached!
% 1.77/0.68 % (23418)------------------------------
% 1.77/0.68 % (23418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.68 % (23418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23418)Termination reason: Unknown
% 1.77/0.68 % (23418)Termination phase: Property scanning
% 1.77/0.68
% 1.77/0.68 % (23418)Memory used [KB]: 2814
% 1.77/0.68 % (23418)Time elapsed: 0.027 s
% 1.77/0.68 % (23418)Instructions burned: 52 (million)
% 1.77/0.68 % (23418)------------------------------
% 1.77/0.68 % (23418)------------------------------
% 1.77/0.68 % (23412)Instruction limit reached!
% 1.77/0.68 % (23412)------------------------------
% 1.77/0.68 % (23412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.68 % (23412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23412)Termination reason: Unknown
% 1.77/0.68 % (23412)Termination phase: Property scanning
% 1.77/0.68
% 1.77/0.68 % (23412)Memory used [KB]: 2814
% 1.77/0.68 % (23412)Time elapsed: 0.024 s
% 1.77/0.68 % (23412)Instructions burned: 51 (million)
% 1.77/0.68 % (23412)------------------------------
% 1.77/0.68 % (23412)------------------------------
% 1.77/0.68 % (23434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23434)Termination reason: Unknown
% 1.77/0.68 % (23434)Termination phase: Property scanning
% 1.77/0.68
% 1.77/0.68 % (23434)Memory used [KB]: 3198
% 1.77/0.68 % (23434)Time elapsed: 0.032 s
% 1.77/0.68 % (23434)Instructions burned: 70 (million)
% 1.77/0.68 % (23434)------------------------------
% 1.77/0.68 % (23434)------------------------------
% 1.77/0.68 % (23417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23417)Termination reason: Unknown
% 1.77/0.68 % (23411)Termination reason: Unknown
% 1.77/0.68 % (23417)Termination phase: Property scanning
% 1.77/0.68 % (23411)Termination phase: Property scanning
% 1.77/0.68
% 1.77/0.68
% 1.77/0.68 % (23417)Memory used [KB]: 2814
% 1.77/0.68 % (23411)Memory used [KB]: 2686
% 1.77/0.68 % (23417)Time elapsed: 0.038 s
% 1.77/0.68 % (23411)Time elapsed: 0.024 s
% 1.77/0.68 % (23417)Instructions burned: 53 (million)
% 1.77/0.68 % (23411)Instructions burned: 54 (million)
% 1.77/0.68 % (23417)------------------------------
% 1.77/0.68 % (23417)------------------------------
% 1.77/0.68 % (23411)------------------------------
% 1.77/0.68 % (23411)------------------------------
% 1.77/0.68 % (23409)Instruction limit reached!
% 1.77/0.68 % (23409)------------------------------
% 1.77/0.68 % (23409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.68 % (23409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.68 % (23409)Termination reason: Unknown
% 1.77/0.68 % (23409)Termination phase: Property scanning
% 1.77/0.68
% 1.77/0.68 % (23409)Memory used [KB]: 2814
% 1.77/0.68 % (23409)Time elapsed: 0.037 s
% 1.77/0.68 % (23409)Instructions burned: 52 (million)
% 1.77/0.68 % (23409)------------------------------
% 1.77/0.68 % (23409)------------------------------
% 1.77/0.69 % (23425)Instruction limit reached!
% 1.77/0.69 % (23425)------------------------------
% 1.77/0.69 % (23425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.69 % (23425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.69 % (23425)Termination reason: Unknown
% 1.77/0.69 % (23425)Termination phase: Function definition elimination
% 1.77/0.69
% 1.77/0.69 % (23425)Memory used [KB]: 2814
% 1.77/0.69 % (23425)Time elapsed: 0.026 s
% 1.77/0.69 % (23425)Instructions burned: 61 (million)
% 1.77/0.69 % (23425)------------------------------
% 1.77/0.69 % (23425)------------------------------
% 2.16/0.72 % (23437)First to succeed.
% 2.16/0.72 % (23424)Instruction limit reached!
% 2.16/0.72 % (23424)------------------------------
% 2.16/0.72 % (23424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.72 % (23424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.72 % (23424)Termination reason: Unknown
% 2.16/0.72 % (23424)Termination phase: Saturation
% 2.16/0.72
% 2.16/0.72 % (23424)Memory used [KB]: 7675
% 2.16/0.72 % (23424)Time elapsed: 0.249 s
% 2.16/0.72 % (23424)Instructions burned: 100 (million)
% 2.16/0.72 % (23424)------------------------------
% 2.16/0.72 % (23424)------------------------------
% 2.16/0.72 % (23437)Refutation found. Thanks to Tanya!
% 2.16/0.72 % SZS status Theorem for theBenchmark
% 2.16/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.72 % (23437)------------------------------
% 2.16/0.72 % (23437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.72 % (23437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.72 % (23437)Termination reason: Refutation
% 2.16/0.72
% 2.16/0.72 % (23437)Memory used [KB]: 7803
% 2.16/0.72 % (23437)Time elapsed: 0.041 s
% 2.16/0.72 % (23437)Instructions burned: 91 (million)
% 2.16/0.72 % (23437)------------------------------
% 2.16/0.72 % (23437)------------------------------
% 2.16/0.72 % (23407)Success in time 0.356 s
%------------------------------------------------------------------------------