TSTP Solution File: ITP339_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:55:57 EDT 2024
% Result : Theorem 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 276
% Syntax : Number of formulae : 287 ( 15 unt; 272 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 156 ( 0 atm; 47 fun; 109 num; 0 var)
% Number of types : 50 ( 48 usr; 1 ari)
% Number of type conns : 304 ( 196 >; 108 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 212 ( 208 usr; 31 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?; 4 :)
% 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: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_117,type,
sK4: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat$' ).
tff(func_def_118,type,
sK5: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_119,type,
sK6: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_120,type,
sK7: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_121,type,
sK8: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_122,type,
sK9: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_123,type,
sK10: ( 'A_b_vec_c_vec$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'Nat$' ).
tff(func_def_124,type,
sK11: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_125,type,
sK12: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_126,type,
sK13: ( 'Nat$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_127,type,
sK14: ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_128,type,
sK15: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_129,type,
sK16: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_130,type,
sK17: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_131,type,
sK18: 'Nat_nat_bool_fun_fun$' > '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$' ) > 'Nat$' ).
tff(func_def_137,type,
sK24: 'Nat_bool_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: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_141,type,
sK28: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_142,type,
sK29: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_143,type,
sK30: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_144,type,
sK31: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_145,type,
sK32: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_146,type,
sK33: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_147,type,
sK34: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_148,type,
sK35: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_149,type,
sK36: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_150,type,
sK37: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_151,type,
sK38: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_152,type,
sK39: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_153,type,
sK40: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_154,type,
sK41: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_155,type,
sK42: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_156,type,
sK43: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_157,type,
sK44: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_158,type,
sK45: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_159,type,
sK46: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK47: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_161,type,
sK48: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_162,type,
sK49: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_163,type,
sK50: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_164,type,
sK51: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_165,type,
sK52: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_166,type,
sK53: ( 'Nat_a_b_vec_c_vec_prod$' * 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ) > 'A_c_vec_c_vec$' ).
tff(func_def_167,type,
sK54: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_168,type,
sK55: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_169,type,
sK56: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_170,type,
sK57: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_171,type,
sK58: 'Nat$' > 'Nat$' ).
tff(func_def_172,type,
sK59: 'Nat$' > 'Nat$' ).
tff(func_def_173,type,
sK60: 'Nat$' > 'Nat$' ).
tff(func_def_174,type,
sK61: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_175,type,
sK62: 'Nat$' > 'Nat$' ).
tff(func_def_176,type,
sK63: 'Nat$' > 'Nat$' ).
tff(func_def_177,type,
sK64: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_178,type,
sK65: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_179,type,
sK66: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_180,type,
sK67: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_181,type,
sK68: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat$' ).
tff(func_def_182,type,
sK69: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_183,type,
sK70: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_184,type,
sK71: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_185,type,
sK72: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_186,type,
sK73: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_187,type,
sK74: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_188,type,
sK75: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_189,type,
sK76: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_190,type,
sK77: 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_191,type,
sK78: $int > $int ).
tff(func_def_192,type,
sK79: $int > $int ).
tff(func_def_193,type,
sK80: ( 'A_iarray_iarray$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_194,type,
sK81: ( 'A_iarray_iarray$' * 'Nat_a_iarray_iarray_prod$' ) > 'Nat$' ).
tff(func_def_195,type,
sK82: ( 'Nat_a_iarray_iarray_prod$' * 'A_iarray_iarray_nat_a_iarray_iarray_prod_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_196,type,
sK83: ( 'Nat$' * 'Nat_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_197,type,
sK84: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_198,type,
sK85: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_199,type,
sK86: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_200,type,
sK87: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_201,type,
sK88: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_202,type,
sK89: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_203,type,
sK90: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_204,type,
sK91: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_205,type,
sK92: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_206,type,
sK93: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_207,type,
sK94: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_208,type,
sK95: 'Nat_a_iarray_prod_bool_fun$' > 'Nat$' ).
tff(func_def_209,type,
sK96: 'Nat_a_iarray_prod_bool_fun$' > 'A_iarray$' ).
tff(func_def_210,type,
sK97: ( 'A_iarray_iarray$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_211,type,
sK98: ( 'A_iarray_iarray$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
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,
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(f2471,plain,
$false,
inference(subsumption_resolution,[],[f2470,f2466]) ).
tff(f2466,plain,
'matrix_to_iarray$'('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$'))))))),
inference(evaluation,[],[f1582]) ).
tff(f1582,plain,
'matrix_to_iarray$'('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$'),1),1)))))),
file('/export/starexec/sandbox/tmp/tmp.dB63t5HSOO/Vampire---4.8_15424',axiom1) ).
tff(f2470,plain,
'matrix_to_iarray$'('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$'))))))),
inference(backward_demodulation,[],[f2469,f1651]) ).
tff(f1651,plain,
! [X0: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( 'pair$'('fst$'(X0),'snd$'(X0)) = X0 ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,axiom,
! [X0: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( 'pair$'('fst$'(X0),'snd$'(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.dB63t5HSOO/Vampire---4.8_15424',axiom131) ).
tff(f2469,plain,
'matrix_to_iarray$'('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$'('foldl$'('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$'),1))))),
inference(backward_demodulation,[],[f2468,f1585]) ).
tff(f1585,plain,
! [X0: 'Nat_a_b_vec_c_vec_prod$'] : ( '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$a'(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.dB63t5HSOO/Vampire---4.8_15424',axiom134) ).
tff(f2468,plain,
'matrix_to_iarray$'('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$'),1))))) != 'matrix_to_iarray$'('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,[],[f1566,f2466]) ).
tff(f1566,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$'),1))))),
inference(cnf_transformation,[],[f811]) ).
tff(f811,plain,
'matrix_to_iarray$'('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/tmp/tmp.dB63t5HSOO/Vampire---4.8_15424',conjecture0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:04:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TF0_THM_EQU_ARI problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dB63t5HSOO/Vampire---4.8_15424
% 0.57/0.76 % (15532)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.76 % (15534)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (15537)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76 % (15535)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.76 % (15539)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.76 % (15533)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.76 % (15538)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.76 % (15536)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.77 % (15532)Instruction limit reached!
% 0.58/0.77 % (15532)------------------------------
% 0.58/0.77 % (15532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (15532)Termination reason: Unknown
% 0.58/0.77 % (15532)Termination phase: Preprocessing 3
% 0.58/0.77
% 0.58/0.77 % (15532)Memory used [KB]: 1594
% 0.58/0.77 % (15532)Time elapsed: 0.010 s
% 0.58/0.77 % (15532)Instructions burned: 34 (million)
% 0.58/0.77 % (15532)------------------------------
% 0.58/0.77 % (15532)------------------------------
% 0.58/0.78 % (15540)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.78 % (15535)Instruction limit reached!
% 0.58/0.78 % (15535)------------------------------
% 0.58/0.78 % (15535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (15535)Termination reason: Unknown
% 0.58/0.78 % (15535)Termination phase: Preprocessing 3
% 0.58/0.78
% 0.58/0.78 % (15535)Memory used [KB]: 1562
% 0.58/0.78 % (15535)Time elapsed: 0.015 s
% 0.58/0.78 % (15535)Instructions burned: 33 (million)
% 0.58/0.78 % (15535)------------------------------
% 0.58/0.78 % (15535)------------------------------
% 0.58/0.78 % (15536)Instruction limit reached!
% 0.58/0.78 % (15536)------------------------------
% 0.58/0.78 % (15536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (15536)Termination reason: Unknown
% 0.58/0.78 % (15536)Termination phase: Preprocessing 2
% 0.58/0.78
% 0.58/0.78 % (15536)Memory used [KB]: 1579
% 0.58/0.78 % (15536)Time elapsed: 0.016 s
% 0.58/0.78 % (15536)Instructions burned: 34 (million)
% 0.58/0.78 % (15536)------------------------------
% 0.58/0.78 % (15536)------------------------------
% 0.58/0.78 % (15537)Instruction limit reached!
% 0.58/0.78 % (15537)------------------------------
% 0.58/0.78 % (15537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (15537)Termination reason: Unknown
% 0.58/0.78 % (15537)Termination phase: Property scanning
% 0.58/0.78
% 0.58/0.78 % (15537)Memory used [KB]: 2004
% 0.58/0.78 % (15537)Time elapsed: 0.019 s
% 0.58/0.78 % (15537)Instructions burned: 45 (million)
% 0.58/0.78 % (15537)------------------------------
% 0.58/0.78 % (15537)------------------------------
% 0.58/0.78 % (15542)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.78 % (15533)Instruction limit reached!
% 0.58/0.78 % (15533)------------------------------
% 0.58/0.78 % (15533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (15533)Termination reason: Unknown
% 0.58/0.78 % (15533)Termination phase: Property scanning
% 0.58/0.78
% 0.58/0.78 % (15533)Memory used [KB]: 2160
% 0.58/0.78 % (15533)Time elapsed: 0.021 s
% 0.58/0.78 % (15533)Instructions burned: 51 (million)
% 0.58/0.78 % (15533)------------------------------
% 0.58/0.78 % (15533)------------------------------
% 0.58/0.78 % (15543)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.78 % (15539)Instruction limit reached!
% 0.58/0.78 % (15539)------------------------------
% 0.58/0.78 % (15539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (15539)Termination reason: Unknown
% 0.58/0.78 % (15539)Termination phase: Equality proxy
% 0.58/0.78
% 0.58/0.78 % (15539)Memory used [KB]: 2040
% 0.58/0.78 % (15539)Time elapsed: 0.023 s
% 0.58/0.78 % (15539)Instructions burned: 58 (million)
% 0.58/0.78 % (15539)------------------------------
% 0.58/0.78 % (15539)------------------------------
% 0.58/0.79 % (15544)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.79 % (15540)Instruction limit reached!
% 0.58/0.79 % (15540)------------------------------
% 0.58/0.79 % (15540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (15540)Termination reason: Unknown
% 0.58/0.79 % (15540)Termination phase: Property scanning
% 0.58/0.79
% 0.58/0.79 % (15540)Memory used [KB]: 2165
% 0.58/0.79 % (15540)Time elapsed: 0.014 s
% 0.58/0.79 % (15540)Instructions burned: 56 (million)
% 0.58/0.79 % (15540)------------------------------
% 0.58/0.79 % (15540)------------------------------
% 0.58/0.79 % (15541)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.79 % (15545)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.58/0.79 % (15534)First to succeed.
% 0.58/0.79 % (15534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15531"
% 0.58/0.79 % (15534)Refutation found. Thanks to Tanya!
% 0.58/0.79 % SZS status Theorem for Vampire---4
% 0.58/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.79 % (15534)------------------------------
% 0.58/0.79 % (15534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (15534)Termination reason: Refutation
% 0.58/0.79
% 0.58/0.79 % (15534)Memory used [KB]: 2086
% 0.58/0.79 % (15534)Time elapsed: 0.031 s
% 0.58/0.79 % (15534)Instructions burned: 76 (million)
% 0.58/0.79 % (15531)Success in time 0.429 s
% 0.58/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------