TSTP Solution File: ITP343_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:19:39 EDT 2022
% Result : Theorem 2.04s 0.84s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 483
% Syntax : Number of formulae : 511 ( 15 unt; 475 typ; 0 def)
% Number of atoms : 86 ( 71 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 83 ( 33 ~; 22 |; 13 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of types : 127 ( 125 usr; 1 ari)
% Number of type conns : 541 ( 306 >; 235 *; 0 +; 0 <<)
% Number of predicates : 42 ( 40 usr; 3 prp; 0-5 aty)
% Number of functors : 312 ( 312 usr; 44 con; 0-4 aty)
% Number of variables : 17 ( 14 !; 3 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'A_iarray_a_iarray_a_iarray_prod_set_fun$': $tType ).
tff(type_def_7,type,
'A_iarray_list_bool_fun$': $tType ).
tff(type_def_8,type,
'A_iarray_iarray_list_a_iarray_iarray_list_prod$': $tType ).
tff(type_def_9,type,
'Int_int_prod_a_n_vec_n_vec_prod$': $tType ).
tff(type_def_10,type,
'A_n_vec_n_vec_option_a_n_vec_n_vec_option_bool_fun_fun$': $tType ).
tff(type_def_11,type,
'Int_int_int_prod_set_fun$': $tType ).
tff(type_def_12,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_13,type,
'Int_int_prod_set$': $tType ).
tff(type_def_14,type,
'Int_int_prod_bool_fun$': $tType ).
tff(type_def_15,type,
'A_n_vec_n_vec_option_a_iarray_iarray_option_bool_fun_fun$': $tType ).
tff(type_def_16,type,
'Int_a_n_vec_n_vec_prod$': $tType ).
tff(type_def_17,type,
'Nat_a_iarray_fun$': $tType ).
tff(type_def_18,type,
'A_iarray_a_iarray_bool_fun_fun$': $tType ).
tff(type_def_19,type,
'A_iarray_iarray_a_iarray_iarray_prod$': $tType ).
tff(type_def_20,type,
'A_iarray_iarray_a_iarray_iarray_prod_bool_fun$': $tType ).
tff(type_def_21,type,
'Nat_a_iarray_prod_list_nat_fun$': $tType ).
tff(type_def_22,type,
'A_iarray_iarray_list_a_iarray_iarray_list_prod_set$': $tType ).
tff(type_def_23,type,
'A_iarray_iarray$': $tType ).
tff(type_def_24,type,
'A_iarray_iarray_int_prod$': $tType ).
tff(type_def_25,type,
'Int_int_prod$': $tType ).
tff(type_def_26,type,
'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod$': $tType ).
tff(type_def_27,type,
'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$': $tType ).
tff(type_def_28,type,
'A_n_vec_iarray$': $tType ).
tff(type_def_29,type,
'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_fun$': $tType ).
tff(type_def_30,type,
'Nat_a_iarray_prod_list$': $tType ).
tff(type_def_31,type,
'A_iarray_iarray_nat_fun$': $tType ).
tff(type_def_32,type,
'A_n_vec_n_vec_int_int_prod_prod$': $tType ).
tff(type_def_33,type,
'A_iarray_a_iarray_fun$': $tType ).
tff(type_def_34,type,
'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun_a_n_vec_n_vec_a_n_vec_n_vec_prod_bool_fun_fun$': $tType ).
tff(type_def_35,type,
'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod_set$': $tType ).
tff(type_def_36,type,
'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_a_n_vec_n_vec_prod_fun$': $tType ).
tff(type_def_37,type,
'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod$': $tType ).
tff(type_def_38,type,
'A_n_vec_n_vec_bool_fun$': $tType ).
tff(type_def_39,type,
'A_iarray_iarray_a_iarray_iarray_a_iarray_iarray_prod_set_fun$': $tType ).
tff(type_def_40,type,
'Int_int_prod_int_int_prod_prod$': $tType ).
tff(type_def_41,type,
'Int_set$': $tType ).
tff(type_def_42,type,
'Int_int_fun$': $tType ).
tff(type_def_43,type,
'Int_set_set$': $tType ).
tff(type_def_44,type,
'A_iarray_a_iarray_prod_set$': $tType ).
tff(type_def_45,type,
'A_n_vec_n_vec$': $tType ).
tff(type_def_46,type,
'Int_int_prod_int_fun$': $tType ).
tff(type_def_47,type,
'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$': $tType ).
tff(type_def_48,type,
'Nat_a_iarray_prod_nat_a_iarray_prod_prod$': $tType ).
tff(type_def_49,type,
'A_n_vec_n_vec_option$': $tType ).
tff(type_def_50,type,
'Int_int_prod_int_prod$': $tType ).
tff(type_def_51,type,
'A_iarray_list_a_iarray_list_a_iarray_list_a_iarray_list_bool_fun_fun_fun_fun$': $tType ).
tff(type_def_52,type,
'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod_set$': $tType ).
tff(type_def_53,type,
'A_iarray_list_nat_fun$': $tType ).
tff(type_def_54,type,
'A_iarray_list_list$': $tType ).
tff(type_def_55,type,
'A_iarray_iarray_set$': $tType ).
tff(type_def_56,type,
'Int_a_iarray_iarray_prod$': $tType ).
tff(type_def_57,type,
'Int_nat_fun$': $tType ).
tff(type_def_58,type,
'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod_set$': $tType ).
tff(type_def_59,type,
'A_iarray_list_a_iarray_list_a_iarray_list_bool_fun_fun_fun$': $tType ).
tff(type_def_60,type,
'Int_set_int_prod$': $tType ).
tff(type_def_61,type,
'A_iarray_list_a_iarray_list_bool_fun_fun$': $tType ).
tff(type_def_62,type,
'Nat$': $tType ).
tff(type_def_63,type,
'A_n_vec_n_vec_set$': $tType ).
tff(type_def_64,type,
'N$': $tType ).
tff(type_def_65,type,
'Int_a_iarray_fun$': $tType ).
tff(type_def_66,type,
'Nat_a_iarray_list_prod_list$': $tType ).
tff(type_def_67,type,
'A_iarray_list_a_iarray_list_prod_set$': $tType ).
tff(type_def_68,type,
'A_iarray_iarray_bool_fun$': $tType ).
tff(type_def_69,type,
'A_iarray_list_list_a_iarray_list_list_prod_set$': $tType ).
tff(type_def_70,type,
'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$': $tType ).
tff(type_def_71,type,
'A_iarray_iarray_option_bool_fun$': $tType ).
tff(type_def_72,type,
'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$': $tType ).
tff(type_def_73,type,
'A_iarray_iarray_a_iarray_iarray_bool_fun_fun_a_iarray_iarray_a_iarray_iarray_prod_bool_fun_fun$': $tType ).
tff(type_def_74,type,
'Int_int_prod_int_int_prod_prod_set$': $tType ).
tff(type_def_75,type,
'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$': $tType ).
tff(type_def_76,type,
'Int_int_bool_fun_fun_int_int_prod_bool_fun_fun$': $tType ).
tff(type_def_77,type,
'Int_set_int_set_prod$': $tType ).
tff(type_def_78,type,
'A_n_vec_n_vec_nat_fun$': $tType ).
tff(type_def_79,type,
tlbool: $tType ).
tff(type_def_80,type,
'A_n_vec_n_vec_int_prod$': $tType ).
tff(type_def_81,type,
'A_n_vec_n_vec_a_n_vec_n_vec_prod_set$': $tType ).
tff(type_def_82,type,
'Int_list_int_list_prod$': $tType ).
tff(type_def_83,type,
'A_iarray_a_iarray_prod_bool_fun$': $tType ).
tff(type_def_84,type,
'A_n_vec_n_vec_a_n_vec_n_vec_prod_bool_fun$': $tType ).
tff(type_def_85,type,
'Int_int_prod_int_int_prod_fun$': $tType ).
tff(type_def_86,type,
'A_iarray_iarray_option_a_n_vec_n_vec_option_bool_fun_fun$': $tType ).
tff(type_def_87,type,
'A_iarray_nat_fun$': $tType ).
tff(type_def_88,type,
'Int_list$': $tType ).
tff(type_def_89,type,
'A_iarray_bool_fun$': $tType ).
tff(type_def_90,type,
'Nat_nat_a_iarray_prod_prod_list$': $tType ).
tff(type_def_91,type,
'A_iarray_list_a_iarray_list_prod_bool_fun$': $tType ).
tff(type_def_92,type,
'Int_int_set_prod$': $tType ).
tff(type_def_93,type,
'A_iarray_iarray_option_a_iarray_iarray_option_bool_fun_fun$': $tType ).
tff(type_def_94,type,
'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$': $tType ).
tff(type_def_95,type,
'Nat_a_iarray_list_fun$': $tType ).
tff(type_def_96,type,
'A_iarray_iarray_option$': $tType ).
tff(type_def_97,type,
'A_iarray_a_iarray_prod$': $tType ).
tff(type_def_98,type,
'A_iarray_list_a_iarray_list_a_iarray_list_prod_set_fun$': $tType ).
tff(type_def_99,type,
'A_iarray_list_a_iarray_list_prod$': $tType ).
tff(type_def_100,type,
'Bool_bool_fun$': $tType ).
tff(type_def_101,type,
'A_iarray_list$': $tType ).
tff(type_def_102,type,
'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod$': $tType ).
tff(type_def_103,type,
'A_iarray_iarray_option_nat_fun$': $tType ).
tff(type_def_104,type,
'A_n_vec_n_vec_option_nat_fun$': $tType ).
tff(type_def_105,type,
'A_iarray_int_fun$': $tType ).
tff(type_def_106,type,
'Nat_a_iarray_iarray_fun$': $tType ).
tff(type_def_107,type,
'Int_a_iarray_iarray_fun$': $tType ).
tff(type_def_108,type,
'Nat_a_iarray_prod_bool_fun$': $tType ).
tff(type_def_109,type,
'A_iarray_set$': $tType ).
tff(type_def_110,type,
'A_iarray_list_list_nat_fun$': $tType ).
tff(type_def_111,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_112,type,
'A_iarray$': $tType ).
tff(type_def_113,type,
'Int_int_int_prod_prod$': $tType ).
tff(type_def_114,type,
'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$': $tType ).
tff(type_def_115,type,
'A_iarray_list_set$': $tType ).
tff(type_def_116,type,
'Nat_a_iarray_prod$': $tType ).
tff(type_def_117,type,
'A_iarray_list_a_iarray_list_fun$': $tType ).
tff(type_def_118,type,
'Nat_bool_fun$': $tType ).
tff(type_def_119,type,
'A_iarray_list_int_fun$': $tType ).
tff(type_def_120,type,
'A_iarray_iarray_a_iarray_iarray_prod_set$': $tType ).
tff(type_def_121,type,
'A_iarray_iarray_int_set_prod$': $tType ).
tff(type_def_122,type,
'A_iarray_list_list_a_iarray_list_list_prod$': $tType ).
tff(type_def_123,type,
'Int_list_int_list_prod_set$': $tType ).
tff(type_def_124,type,
'Nat_set$': $tType ).
tff(type_def_125,type,
'A_n_vec_n_vec_a_n_vec_n_vec_prod$': $tType ).
tff(type_def_126,type,
'Nat_int_fun$': $tType ).
tff(type_def_127,type,
'A_n_vec_n_vec_option_bool_fun$': $tType ).
tff(type_def_128,type,
'A_iarray_iarray_list$': $tType ).
tff(type_def_129,type,
'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod$': $tType ).
tff(func_def_0,type,
'snd$': 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$' ).
tff(func_def_1,type,
'size$a': 'Nat_a_iarray_prod_list_nat_fun$' ).
tff(func_def_2,type,
'append$': 'Nat_a_iarray_prod_list$' > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_fun$' ).
tff(func_def_3,type,
'pair$o': ( 'Int_int_prod$' * 'A_n_vec_n_vec$' ) > 'Int_int_prod_a_n_vec_n_vec_prod$' ).
tff(func_def_4,type,
'zero$d': 'Int_int_int_prod_prod$' ).
tff(func_def_5,type,
'collect$f': 'A_iarray_iarray_a_iarray_iarray_prod_bool_fun$' > 'A_iarray_iarray_a_iarray_iarray_prod_set$' ).
tff(func_def_6,type,
'image2$d': ( 'Nat_set$' * 'Nat_a_iarray_fun$' * 'Nat_a_iarray_fun$' ) > 'A_iarray_a_iarray_prod_set$' ).
tff(func_def_7,type,
'fun_app$az': ( 'A_iarray_iarray_a_iarray_iarray_a_iarray_iarray_prod_set_fun$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_set$' ).
tff(func_def_8,type,
'fun_app$r': ( 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_9,type,
'image2$g': ( 'Nat_set$' * 'Nat_a_iarray_iarray_fun$' * 'Nat_a_iarray_iarray_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_set$' ).
tff(func_def_10,type,
'case_option$': ( tlbool * 'A_n_vec_n_vec_bool_fun$' ) > 'A_n_vec_n_vec_option_bool_fun$' ).
tff(func_def_11,type,
'gauss_Jordan_upt_k_PA$': ( 'A_n_vec_n_vec$' * 'Nat$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_12,type,
'lexord$a': 'A_iarray_iarray_a_iarray_iarray_prod_set$' > 'A_iarray_iarray_list_a_iarray_iarray_list_prod_set$' ).
tff(func_def_13,type,
'invertible$': 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_14,type,
'listrel1$b': 'A_iarray_list_a_iarray_list_prod_set$' > 'A_iarray_list_list_a_iarray_list_list_prod_set$' ).
tff(func_def_15,type,
'fst$e': 'A_iarray_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_16,type,
'uug$': 'A_iarray_iarray_bool_fun$' ).
tff(func_def_17,type,
'size$c': 'A_iarray_iarray_option$' > 'Nat$' ).
tff(func_def_18,type,
def_3: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_19,type,
def_1: ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray$' ) > tlbool ).
tff(func_def_20,type,
'inverse_matrix_iarray$': 'A_iarray_iarray$' > 'A_iarray_iarray_option$' ).
tff(func_def_21,type,
'same_fst$c': ( 'A_iarray_bool_fun$' * 'A_iarray_a_iarray_a_iarray_prod_set_fun$' ) > 'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod_set$' ).
tff(func_def_22,type,
'size$f': 'A_iarray_iarray_list$' > 'Nat$' ).
tff(func_def_23,type,
'none$': 'A_iarray_iarray_option$' ).
tff(func_def_24,type,
'collect$e': 'A_n_vec_n_vec_a_n_vec_n_vec_prod_bool_fun$' > 'A_n_vec_n_vec_a_n_vec_n_vec_prod_set$' ).
tff(func_def_25,type,
def_5: ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_option$' ) > tlbool ).
tff(func_def_26,type,
'listrel1$a': 'A_iarray_iarray_a_iarray_iarray_prod_set$' > 'A_iarray_iarray_list_a_iarray_iarray_list_prod_set$' ).
tff(func_def_27,type,
'lexn$b': ( 'A_iarray_a_iarray_prod_set$' * 'Nat$' ) > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_28,type,
'enumerate$': ( 'Nat$' * 'A_iarray_list$' ) > 'Nat_a_iarray_prod_list$' ).
tff(func_def_29,type,
'fun_app$ap': ( 'Nat_a_iarray_iarray_fun$' * 'Nat$' ) > 'A_iarray_iarray$' ).
tff(func_def_30,type,
'fun_app$ai': ( 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_31,type,
'nths$': ( 'A_iarray_list$' * 'Nat_set$' ) > 'A_iarray_list$' ).
tff(func_def_32,type,
'gauss_Jordan$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_33,type,
'fun_app$aa': ( 'A_n_vec_n_vec_nat_fun$' * 'A_n_vec_n_vec$' ) > 'Nat$' ).
tff(func_def_34,type,
'pair$m': ( $int * 'A_n_vec_n_vec$' ) > 'Int_a_n_vec_n_vec_prod$' ).
tff(func_def_35,type,
'enumerate$a': ( 'Nat$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_nat_a_iarray_prod_prod_list$' ).
tff(func_def_36,type,
'gen_length$b': 'Nat$' > 'A_iarray_list_nat_fun$' ).
tff(func_def_37,type,
'fun_app$av': ( 'Int_int_bool_fun_fun_int_int_prod_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > 'Int_int_prod_bool_fun$' ).
tff(func_def_38,type,
'fun_app$aq': ( 'Int_a_iarray_iarray_fun$' * $int ) > 'A_iarray_iarray$' ).
tff(func_def_39,type,
def_4: ( tlbool * 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_option$' ) > tlbool ).
tff(func_def_40,type,
'lexord$': 'Int_int_prod_set$' > 'Int_list_int_list_prod_set$' ).
tff(func_def_41,type,
'fst$c': 'Int_int_set_prod$' > $int ).
tff(func_def_42,type,
'fstOp$a': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > 'Int_int_prod_int_int_prod_fun$' ).
tff(func_def_43,type,
'fst$k': 'A_iarray_list_a_iarray_list_prod$' > 'A_iarray_list$' ).
tff(func_def_44,type,
'collect$d': 'A_iarray_bool_fun$' > 'A_iarray_set$' ).
tff(func_def_45,type,
'append$c': ( 'A_iarray_list_list$' * 'A_iarray_list_list$' ) > 'A_iarray_list_list$' ).
tff(func_def_46,type,
'sndOp$a': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > 'Int_int_prod_int_int_prod_fun$' ).
tff(func_def_47,type,
'lex$a': 'A_iarray_iarray_a_iarray_iarray_prod_set$' > 'A_iarray_iarray_list_a_iarray_iarray_list_prod_set$' ).
tff(func_def_48,type,
'lexord$d': 'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$' > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$' ).
tff(func_def_49,type,
'plus$o': ( 'Int_int_set_prod$' * 'Int_int_set_prod$' ) > 'Int_int_set_prod$' ).
tff(func_def_50,type,
'snd$k': 'A_iarray_list_a_iarray_list_prod$' > 'A_iarray_list$' ).
tff(func_def_51,type,
'product_lists$': 'A_iarray_list_list$' > 'A_iarray_list_list$' ).
tff(func_def_52,type,
'plus$n': ( 'Int_int_prod_set$' * 'Int_int_prod_set$' ) > 'Int_int_prod_set$' ).
tff(func_def_53,type,
'same_fst$a': ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_a_iarray_iarray_a_iarray_iarray_prod_set_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod_set$' ).
tff(func_def_54,type,
'lexn$': ( 'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$' * 'Nat$' ) > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$' ).
tff(func_def_55,type,
'fun_app$ad': ( 'A_iarray_a_iarray_fun$' * 'A_iarray$' ) > 'A_iarray$' ).
tff(func_def_56,type,
'splice$b': ( 'A_iarray_list$' * 'A_iarray_list$' ) > 'A_iarray_list$' ).
tff(func_def_57,type,
'plus$s': ( 'Int_int_int_prod_prod$' * 'Int_int_int_prod_prod$' ) > 'Int_int_int_prod_prod$' ).
tff(func_def_58,type,
'listrel1$': 'Int_int_prod_set$' > 'Int_list_int_list_prod_set$' ).
tff(func_def_59,type,
'relcompp$': ( 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ).
tff(func_def_60,type,
'swap$b': 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_61,type,
'image2$': ( 'Nat_set$' * 'Nat_int_fun$' * 'Nat_int_fun$' ) > 'Int_int_prod_set$' ).
tff(func_def_62,type,
'nat$': 'Int_nat_fun$' ).
tff(func_def_63,type,
'pair$e': ( 'Int_set$' * $int ) > 'Int_set_int_prod$' ).
tff(func_def_64,type,
'snd$h': 'A_iarray_iarray_int_prod$' > $int ).
tff(func_def_65,type,
'fst$d': 'Int_set_int_prod$' > 'Int_set$' ).
tff(func_def_66,type,
'size$': 'A_iarray_list_nat_fun$' ).
tff(func_def_67,type,
'listrel1$d': 'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$' > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$' ).
tff(func_def_68,type,
'snd$c': 'Int_int_set_prod$' > 'Int_set$' ).
tff(func_def_69,type,
'size$b': 'A_iarray_list_list_nat_fun$' ).
tff(func_def_70,type,
'plus$w': ( 'A_iarray_iarray_int_set_prod$' * 'A_iarray_iarray_int_set_prod$' ) > 'A_iarray_iarray_int_set_prod$' ).
tff(func_def_71,type,
'plus$x': ( 'A_n_vec_iarray$' * 'A_n_vec_iarray$' ) > 'A_n_vec_iarray$' ).
tff(func_def_72,type,
'collect$': 'A_iarray_list_a_iarray_list_prod_bool_fun$' > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_73,type,
'plus$q': ( 'A_iarray_a_iarray_prod$' * 'A_iarray_a_iarray_prod$' ) > 'A_iarray_a_iarray_prod$' ).
tff(func_def_74,type,
'pair$j': ( 'Int_int_prod$' * $int ) > 'Int_int_prod_int_prod$' ).
tff(func_def_75,type,
'pair$b': ( 'A_iarray_list$' * 'A_iarray_list$' ) > 'A_iarray_list_a_iarray_list_prod$' ).
tff(func_def_76,type,
'cons$a': ( 'Nat_a_iarray_prod$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_a_iarray_prod_list$' ).
tff(func_def_77,type,
'collect$c': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_78,type,
'set$a': 'A_iarray_list_list$' > 'A_iarray_list_set$' ).
tff(func_def_79,type,
'cons$': ( 'A_iarray$' * 'A_iarray_list$' ) > 'A_iarray_list$' ).
tff(func_def_80,type,
'zero$': 'Int_set$' ).
tff(func_def_81,type,
'n_lists$': ( 'Nat$' * 'A_iarray_list$' ) > 'A_iarray_list_list$' ).
tff(func_def_82,type,
'pick_middlep$': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_83,type,
'fun_app$ax': ( 'A_n_vec_n_vec_option_nat_fun$' * 'A_n_vec_n_vec_option$' ) > 'Nat$' ).
tff(func_def_84,type,
'gauss_Jordan_in_ij_PA$': ( 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' * 'N$' * 'N$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_85,type,
'image2$e': ( 'Int_set$' * 'Int_a_iarray_fun$' * 'Int_a_iarray_fun$' ) > 'A_iarray_a_iarray_prod_set$' ).
tff(func_def_86,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_87,type,
'sndOp$b': ( 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_a_n_vec_n_vec_prod_fun$' ).
tff(func_def_88,type,
'pair$x': ( 'Nat_a_iarray_prod_list$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod$' ).
tff(func_def_89,type,
'uuh$': 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_90,type,
'snd$d': 'Int_set_int_prod$' > $int ).
tff(func_def_91,type,
'matrix_inv$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_92,type,
'fun_app$bf': ( 'A_iarray_list_a_iarray_list_a_iarray_list_a_iarray_list_bool_fun_fun_fun_fun$' * 'A_iarray_list$' ) > 'A_iarray_list_a_iarray_list_a_iarray_list_bool_fun_fun_fun$' ).
tff(func_def_93,type,
'plus$e': 'A_iarray$' > 'A_iarray_a_iarray_fun$' ).
tff(func_def_94,type,
'fst$g': 'Int_int_int_prod_prod$' > $int ).
tff(func_def_95,type,
'fst$a': 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$' ).
tff(func_def_96,type,
'nil$': 'A_iarray_list$' ).
tff(func_def_97,type,
'fun_app$g': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_98,type,
'uuk$': 'A_iarray_list_set$' > 'A_iarray_list_bool_fun$' ).
tff(func_def_99,type,
'filter$': 'A_iarray_bool_fun$' > 'A_iarray_list_a_iarray_list_fun$' ).
tff(func_def_100,type,
'uu$': 'A_iarray_bool_fun$' ).
tff(func_def_101,type,
'equivalent_matrices$': 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ).
tff(func_def_102,type,
'fun_app$k': ( 'Int_nat_fun$' * $int ) > 'Nat$' ).
tff(func_def_103,type,
'fun_app$bc': ( 'A_iarray_nat_fun$' * 'A_iarray$' ) > 'Nat$' ).
tff(func_def_104,type,
'image2$i': ( 'Nat_set$' * 'Nat_a_iarray_list_fun$' * 'Nat_a_iarray_list_fun$' ) > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_105,type,
'collect$a': 'A_iarray_list_bool_fun$' > 'A_iarray_list_set$' ).
tff(func_def_106,type,
'fun_app$as': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_107,type,
'set$': 'A_iarray_list$' > 'A_iarray_set$' ).
tff(func_def_108,type,
'pair$h': ( 'A_iarray_iarray$' * $int ) > 'A_iarray_iarray_int_prod$' ).
tff(func_def_109,type,
'pair$q': ( 'A_n_vec_n_vec$' * 'Int_int_prod$' ) > 'A_n_vec_n_vec_int_int_prod_prod$' ).
tff(func_def_110,type,
'lexord$c': 'A_iarray_a_iarray_prod_set$' > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_111,type,
'fun_app$w': ( 'A_n_vec_n_vec_option_a_n_vec_n_vec_option_bool_fun_fun$' * 'A_n_vec_n_vec_option$' ) > 'A_n_vec_n_vec_option_bool_fun$' ).
tff(func_def_112,type,
tltrue: tlbool ).
tff(func_def_113,type,
'uuo$': 'Int_int_prod_set$' > 'Int_int_bool_fun_fun$' ).
tff(func_def_114,type,
'cons$b': ( 'A_iarray_list$' * 'A_iarray_list_list$' ) > 'A_iarray_list_list$' ).
tff(func_def_115,type,
'zero$a': 'Int_int_prod$' ).
tff(func_def_116,type,
'swap$a': 'A_iarray_a_iarray_prod$' > 'A_iarray_a_iarray_prod$' ).
tff(func_def_117,type,
'image2$f': ( 'A_iarray_set$' * 'A_iarray_a_iarray_fun$' * 'A_iarray_a_iarray_fun$' ) > 'A_iarray_a_iarray_prod_set$' ).
tff(func_def_118,type,
'plus$h': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_119,type,
'pair$t': ( 'A_iarray_a_iarray_prod$' * 'A_iarray_a_iarray_prod$' ) > 'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod$' ).
tff(func_def_120,type,
'rank$': 'A_n_vec_n_vec_nat_fun$' ).
tff(func_def_121,type,
'gauss_Jordan_upt_k$': ( 'A_n_vec_n_vec$' * 'Nat$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_122,type,
'fun_app$bb': ( 'A_iarray_a_iarray_a_iarray_prod_set_fun$' * 'A_iarray$' ) > 'A_iarray_a_iarray_prod_set$' ).
tff(func_def_123,type,
'gauss_Jordan_in_ij$': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_124,type,
'size_prod$': ( 'A_n_vec_n_vec_nat_fun$' * 'A_n_vec_n_vec_nat_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ) > 'Nat$' ).
tff(func_def_125,type,
'fun_app$aj': ( 'Int_int_prod_int_int_prod_fun$' * 'Int_int_prod$' ) > 'Int_int_prod$' ).
tff(func_def_126,type,
'fun_app$v': ( 'A_iarray_list_list_nat_fun$' * 'A_iarray_list_list$' ) > 'Nat$' ).
tff(func_def_127,type,
'plus$i': ( 'A_iarray_iarray_a_iarray_iarray_prod_set$' * 'A_iarray_iarray_a_iarray_iarray_prod_set$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_set$' ).
tff(func_def_128,type,
'pair$y': ( 'Nat_a_iarray_prod$' * 'Nat_a_iarray_prod$' ) > 'Nat_a_iarray_prod_nat_a_iarray_prod_prod$' ).
tff(func_def_129,type,
'filter$a': ( 'Nat_a_iarray_prod_bool_fun$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_a_iarray_prod_list$' ).
tff(func_def_130,type,
'uuj$': 'A_iarray_list_a_iarray_list_prod_set$' > 'A_iarray_list_a_iarray_list_prod_bool_fun$' ).
tff(func_def_131,type,
'fun_app$h': ( 'A_iarray_a_iarray_bool_fun_fun$' * 'A_iarray$' ) > 'A_iarray_bool_fun$' ).
tff(func_def_132,type,
'filter$b': ( 'A_iarray_list_bool_fun$' * 'A_iarray_list_list$' ) > 'A_iarray_list_list$' ).
tff(func_def_133,type,
'fun_app$ar': ( 'Nat_a_iarray_list_fun$' * 'Nat$' ) > 'A_iarray_list$' ).
tff(func_def_134,type,
'relcompp$a': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ).
tff(func_def_135,type,
'list_of$': 'A_iarray_iarray$' > 'A_iarray_list$' ).
tff(func_def_136,type,
'fun_app$ba': ( 'A_iarray_list_a_iarray_list_a_iarray_list_prod_set_fun$' * 'A_iarray_list$' ) > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_137,type,
'snd$e': 'A_iarray_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_138,type,
'a$': 'A_n_vec_n_vec$' ).
tff(func_def_139,type,
'fun_app$ao': ( 'Int_a_iarray_fun$' * $int ) > 'A_iarray$' ).
tff(func_def_140,type,
'uuq$': 'A_iarray_list_a_iarray_list_prod_set$' > 'A_iarray_list_a_iarray_list_bool_fun_fun$' ).
tff(func_def_141,type,
'lex$d': 'A_iarray_a_iarray_prod_set$' > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_142,type,
'pair$': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_143,type,
'sndOp$': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$' ).
tff(func_def_144,type,
'rank_iarray$': 'A_iarray_iarray_nat_fun$' ).
tff(func_def_145,type,
'fun_app$ah': ( 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_146,type,
'listrel1$c': 'A_iarray_a_iarray_prod_set$' > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_147,type,
'p_Gauss_Jordan$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_148,type,
'gauss_Jordan_iarrays_PA$': 'A_iarray_iarray$' > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_149,type,
'some$a': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec_option$' ).
tff(func_def_150,type,
'matrix_to_iarray$': 'A_n_vec_n_vec$' > 'A_iarray_iarray$' ).
tff(func_def_151,type,
'uuu$': ( 'A_iarray_bool_fun$' * 'A_iarray_list$' ) > 'A_iarray_bool_fun$' ).
tff(func_def_152,type,
'reduced_row_echelon_form$': 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_153,type,
'lexn$a': ( 'A_iarray_list_a_iarray_list_prod_set$' * 'Nat$' ) > 'A_iarray_list_list_a_iarray_list_list_prod_set$' ).
tff(func_def_154,type,
'swap$d': 'A_iarray_iarray_a_iarray_iarray_prod$' > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_155,type,
'fun_app$at': ( 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun_a_n_vec_n_vec_a_n_vec_n_vec_prod_bool_fun_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod_bool_fun$' ).
tff(func_def_156,type,
'append$b': ( 'A_iarray_iarray_list$' * 'A_iarray_iarray_list$' ) > 'A_iarray_iarray_list$' ).
tff(func_def_157,type,
'plus$l': ( 'Int_set_set$' * 'Int_set_set$' ) > 'Int_set_set$' ).
tff(func_def_158,type,
'uua$': ( 'A_iarray_bool_fun$' * 'A_iarray_bool_fun$' ) > 'A_iarray_bool_fun$' ).
tff(func_def_159,type,
'uur$': 'A_iarray_a_iarray_prod_set$' > 'A_iarray_a_iarray_bool_fun_fun$' ).
tff(func_def_160,type,
'pair$n': ( 'Int_int_prod$' * 'Int_int_prod$' ) > 'Int_int_prod_int_int_prod_prod$' ).
tff(func_def_161,type,
'gen_length$a': 'Nat$' > 'A_iarray_list_list_nat_fun$' ).
tff(func_def_162,type,
'size$e': 'Int_list$' > 'Nat$' ).
tff(func_def_163,type,
'pair$p': ( 'A_n_vec_n_vec$' * $int ) > 'A_n_vec_n_vec_int_prod$' ).
tff(func_def_164,type,
'pick_middlep$a': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_165,type,
'pair$d': ( $int * 'Int_set$' ) > 'Int_int_set_prod$' ).
tff(func_def_166,type,
'snd$f': 'Int_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_167,type,
'append$d': 'A_iarray_list$' > 'A_iarray_list_a_iarray_list_fun$' ).
tff(func_def_168,type,
'uus$': ( 'A_iarray_list_set$' * 'A_iarray$' ) > 'A_iarray_list_bool_fun$' ).
tff(func_def_169,type,
'gauss_Jordan_PA$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_170,type,
'fun_app$au': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun_a_iarray_iarray_a_iarray_iarray_prod_bool_fun_fun$' * 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_bool_fun$' ).
tff(func_def_171,type,
def_2: ( tlbool * 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_option$' ) > tlbool ).
tff(func_def_172,type,
'plus$t': ( 'A_iarray_iarray_int_prod$' * 'A_iarray_iarray_int_prod$' ) > 'A_iarray_iarray_int_prod$' ).
tff(func_def_173,type,
'cons$d': ( 'A_iarray_iarray$' * 'A_iarray_iarray_list$' ) > 'A_iarray_iarray_list$' ).
tff(func_def_174,type,
'image2$b': ( 'A_iarray_set$' * 'A_iarray_int_fun$' * 'A_iarray_int_fun$' ) > 'Int_int_prod_set$' ).
tff(func_def_175,type,
'none$a': 'A_n_vec_n_vec_option$' ).
tff(func_def_176,type,
'uut$': ( 'A_iarray_list$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).
tff(func_def_177,type,
'lex$c': 'A_iarray_list_a_iarray_list_prod_set$' > 'A_iarray_list_list_a_iarray_list_list_prod_set$' ).
tff(func_def_178,type,
'uue$': ( 'Bool_bool_fun$' * 'A_iarray_iarray_bool_fun$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_179,type,
'plus$m': ( 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$' ) > 'A_n_vec_n_vec_set$' ).
tff(func_def_180,type,
'fun_app$ay': ( 'Int_int_int_prod_set_fun$' * $int ) > 'Int_int_prod_set$' ).
tff(func_def_181,type,
'pair$k': ( 'A_iarray_iarray$' * 'Int_set$' ) > 'A_iarray_iarray_int_set_prod$' ).
tff(func_def_182,type,
'same_fst$b': ( 'A_iarray_list_bool_fun$' * 'A_iarray_list_a_iarray_list_a_iarray_list_prod_set_fun$' ) > 'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod_set$' ).
tff(func_def_183,type,
'plus$a': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_184,type,
'fun_app$bd': ( 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_fun$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_a_iarray_prod_list$' ).
tff(func_def_185,type,
'pair$g': ( $int * 'Int_int_prod$' ) > 'Int_int_int_prod_prod$' ).
tff(func_def_186,type,
'collect$b': 'Int_bool_fun$' > 'Int_set$' ).
tff(func_def_187,type,
'plus$p': ( 'Int_set_int_prod$' * 'Int_set_int_prod$' ) > 'Int_set_int_prod$' ).
tff(func_def_188,type,
'cons$c': ( $int * 'Int_list$' ) > 'Int_list$' ).
tff(func_def_189,type,
'fun_app$m': ( 'A_iarray_list_nat_fun$' * 'A_iarray_list$' ) > 'Nat$' ).
tff(func_def_190,type,
'matrix_matrix_mult$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_191,type,
'plus$r': ( 'Int_a_iarray_iarray_prod$' * 'Int_a_iarray_iarray_prod$' ) > 'Int_a_iarray_iarray_prod$' ).
tff(func_def_192,type,
'snd$i': 'Int_set_int_set_prod$' > 'Int_set$' ).
tff(func_def_193,type,
'matrix_to_iarray_option$': 'A_n_vec_n_vec_option$' > 'A_iarray_iarray_option$' ).
tff(func_def_194,type,
'plus$j': ( 'A_iarray_iarray_set$' * 'A_iarray_iarray_set$' ) > 'A_iarray_iarray_set$' ).
tff(func_def_195,type,
'fun_app$ab': ( 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_196,type,
'lenlex$': 'A_iarray_a_iarray_prod_set$' > 'A_iarray_list_a_iarray_list_prod_set$' ).
tff(func_def_197,type,
'zero$i': 'A_n_vec_n_vec_int_prod$' ).
tff(func_def_198,type,
'uul$': 'Int_set$' > 'Int_bool_fun$' ).
tff(func_def_199,type,
'size$g': 'Nat_nat_a_iarray_prod_prod_list$' > 'Nat$' ).
tff(func_def_200,type,
'fun_app$an': ( 'Nat_a_iarray_fun$' * 'Nat$' ) > 'A_iarray$' ).
tff(func_def_201,type,
'fun_app$al': ( 'A_iarray_int_fun$' * 'A_iarray$' ) > $int ).
tff(func_def_202,type,
'snd$a': 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$' ).
tff(func_def_203,type,
'fst$f': 'Int_a_iarray_iarray_prod$' > $int ).
tff(func_def_204,type,
'uuf$': 'A_n_vec_n_vec_bool_fun$' ).
tff(func_def_205,type,
'size$h': 'Nat_a_iarray_list_prod_list$' > 'Nat$' ).
tff(func_def_206,type,
'fstOp$': ( 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' * 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$' ).
tff(func_def_207,type,
'uui$': 'A_iarray_iarray_bool_fun$' ).
tff(func_def_208,type,
'plus$b': ( 'Int_int_prod$' * 'Int_int_prod$' ) > 'Int_int_prod$' ).
tff(func_def_209,type,
'zero$j': 'A_n_vec_n_vec_int_int_prod_prod$' ).
tff(func_def_210,type,
'plus$u': ( 'Int_set_int_set_prod$' * 'Int_set_int_set_prod$' ) > 'Int_set_int_set_prod$' ).
tff(func_def_211,type,
'shift$': ( 'A_iarray_list_set$' * 'A_iarray$' ) > 'A_iarray_list_set$' ).
tff(func_def_212,type,
def_7: ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_option$' ) > tlbool ).
tff(func_def_213,type,
'uuc$': 'A_iarray_list_bool_fun$' > 'A_iarray_list_bool_fun$' ).
tff(func_def_214,type,
'zero$h': 'Int_int_prod_a_n_vec_n_vec_prod$' ).
tff(func_def_215,type,
'pair$a': ( 'A_iarray$' * 'A_iarray$' ) > 'A_iarray_a_iarray_prod$' ).
tff(func_def_216,type,
'snd$j': 'Int_int_prod_int_prod$' > $int ).
tff(func_def_217,type,
'gauss_Jordan_iarrays$': 'A_iarray_iarray$' > 'A_iarray_iarray$' ).
tff(func_def_218,type,
'divides_aux$': 'Int_int_prod_bool_fun$' ).
tff(func_def_219,type,
'same_fst$': ( 'Int_bool_fun$' * 'Int_int_int_prod_set_fun$' ) > 'Int_int_prod_int_int_prod_prod_set$' ).
tff(func_def_220,type,
'fun_app$l': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_221,type,
'fst$b': 'Int_int_prod_int_fun$' ).
tff(func_def_222,type,
'plus$k': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_223,type,
'fun_app$j': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_224,type,
'size_prod$b': ( 'A_iarray_iarray_nat_fun$' * 'A_iarray_iarray_nat_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'Nat$' ).
tff(func_def_225,type,
'image2$c': ( 'A_iarray_list_set$' * 'A_iarray_list_int_fun$' * 'A_iarray_list_int_fun$' ) > 'Int_int_prod_set$' ).
tff(func_def_226,type,
'uum$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_227,type,
'zero$b': 'A_n_vec_n_vec$' ).
tff(func_def_228,type,
def_6: ( tlbool * 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray_option$' ) > tlbool ).
tff(func_def_229,type,
'plus$d': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_230,type,
'relcompp$b': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > 'Int_int_bool_fun_fun$' ).
tff(func_def_231,type,
'invertible_iarray$': 'A_iarray_iarray_bool_fun$' ).
tff(func_def_232,type,
'uud$': 'A_iarray_bool_fun$' > 'A_iarray_bool_fun$' ).
tff(func_def_233,type,
'pair$c': ( $int * $int ) > 'Int_int_prod$' ).
tff(func_def_234,type,
tlfalse: tlbool ).
tff(func_def_235,type,
'fun_app$x': ( 'A_n_vec_n_vec_option_a_iarray_iarray_option_bool_fun_fun$' * 'A_n_vec_n_vec_option$' ) > 'A_iarray_iarray_option_bool_fun$' ).
tff(func_def_236,type,
'gen_length$': 'Nat$' > 'Nat_a_iarray_prod_list_nat_fun$' ).
tff(func_def_237,type,
'plus$': ( 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_238,type,
'lex$': 'Int_int_prod_set$' > 'Int_list_int_list_prod_set$' ).
tff(func_def_239,type,
'fst$h': 'A_iarray_iarray_int_prod$' > 'A_iarray_iarray$' ).
tff(func_def_240,type,
'swap$': 'A_iarray_list_a_iarray_list_prod$' > 'A_iarray_list_a_iarray_list_prod$' ).
tff(func_def_241,type,
'pair$z': ( 'A_iarray_list_list$' * 'A_iarray_list_list$' ) > 'A_iarray_list_list_a_iarray_list_list_prod$' ).
tff(func_def_242,type,
'id_upt_k$': 'A_n_vec_n_vec$' > 'Nat_bool_fun$' ).
tff(func_def_243,type,
'fst$j': 'Int_int_prod_int_prod$' > 'Int_int_prod$' ).
tff(func_def_244,type,
'fun_app$ak': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_245,type,
'collect$g': 'Int_int_prod_bool_fun$' > 'Int_int_prod_set$' ).
tff(func_def_246,type,
'pair$s': ( 'A_iarray_list_a_iarray_list_prod$' * 'A_iarray_list_a_iarray_list_prod$' ) > 'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod$' ).
tff(func_def_247,type,
'plus$v': ( 'Int_int_prod_int_prod$' * 'Int_int_prod_int_prod$' ) > 'Int_int_prod_int_prod$' ).
tff(func_def_248,type,
'splice$a': ( 'A_iarray_list_list$' * 'A_iarray_list_list$' ) > 'A_iarray_list_list$' ).
tff(func_def_249,type,
'pair$w': ( 'A_iarray_iarray_list$' * 'A_iarray_iarray_list$' ) > 'A_iarray_iarray_list_a_iarray_iarray_list_prod$' ).
tff(func_def_250,type,
'lex$b': 'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$' > 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$' ).
tff(func_def_251,type,
'pair$v': ( 'Int_list$' * 'Int_list$' ) > 'Int_list_int_list_prod$' ).
tff(func_def_252,type,
'is_zero_iarray$': 'A_iarray_bool_fun$' ).
tff(func_def_253,type,
'size_prod$a': ( 'Int_nat_fun$' * 'Int_nat_fun$' * 'Int_int_prod$' ) > 'Nat$' ).
tff(func_def_254,type,
'fun_app$be': ( 'A_iarray_list_a_iarray_list_a_iarray_list_bool_fun_fun_fun$' * 'A_iarray_list$' ) > 'A_iarray_list_a_iarray_list_bool_fun_fun$' ).
tff(func_def_255,type,
'iarray_to_matrix$': 'A_iarray_iarray$' > 'A_n_vec_n_vec$' ).
tff(func_def_256,type,
'fun_app$am': ( 'A_iarray_list_int_fun$' * 'A_iarray_list$' ) > $int ).
tff(func_def_257,type,
'pair$l': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_258,type,
'inverse_matrix$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec_option$' ).
tff(func_def_259,type,
'fst$i': 'Int_set_int_set_prod$' > 'Int_set$' ).
tff(func_def_260,type,
'fst$': 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$' ).
tff(func_def_261,type,
'nrows_iarray$': 'A_iarray_iarray_nat_fun$' ).
tff(func_def_262,type,
'fun_app$z': ( 'A_iarray_iarray_option_a_iarray_iarray_option_bool_fun_fun$' * 'A_iarray_iarray_option$' ) > 'A_iarray_iarray_option_bool_fun$' ).
tff(func_def_263,type,
'pair$f': ( $int * 'A_iarray_iarray$' ) > 'Int_a_iarray_iarray_prod$' ).
tff(func_def_264,type,
'fun_app$aw': ( 'A_iarray_iarray_option_nat_fun$' * 'A_iarray_iarray_option$' ) > 'Nat$' ).
tff(func_def_265,type,
'uun$': 'A_iarray_set$' > 'A_iarray_bool_fun$' ).
tff(func_def_266,type,
'uub$': 'Nat_a_iarray_prod_bool_fun$' > 'Nat_a_iarray_prod_bool_fun$' ).
tff(func_def_267,type,
'similar_matrices$': 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ).
tff(func_def_268,type,
'case_option$a': ( tlbool * 'A_iarray_iarray_bool_fun$' ) > 'A_iarray_iarray_option_bool_fun$' ).
tff(func_def_269,type,
'zero$g': 'Int_int_prod_int_int_prod_prod$' ).
tff(func_def_270,type,
'pair$u': ( 'Nat$' * 'A_iarray$' ) > 'Nat_a_iarray_prod$' ).
tff(func_def_271,type,
'image2$a': ( 'Int_set$' * 'Int_int_fun$' * 'Int_int_fun$' ) > 'Int_int_prod_set$' ).
tff(func_def_272,type,
'uup$': 'A_iarray_iarray_a_iarray_iarray_prod_set$' > 'A_iarray_iarray_a_iarray_iarray_bool_fun_fun$' ).
tff(func_def_273,type,
'the$a': 'A_iarray_iarray_option$' > 'A_iarray_iarray$' ).
tff(func_def_274,type,
'some$': 'A_iarray_iarray$' > 'A_iarray_iarray_option$' ).
tff(func_def_275,type,
'size_option$': 'A_iarray_iarray_nat_fun$' > 'A_iarray_iarray_option_nat_fun$' ).
tff(func_def_276,type,
'zero$e': 'Int_a_n_vec_n_vec_prod$' ).
tff(func_def_277,type,
'fun_app$y': ( 'A_iarray_iarray_option_a_n_vec_n_vec_option_bool_fun_fun$' * 'A_iarray_iarray_option$' ) > 'A_n_vec_n_vec_option_bool_fun$' ).
tff(func_def_278,type,
'pair$r': ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod$' ).
tff(func_def_279,type,
'zero$c': 'A_n_vec_n_vec_a_n_vec_n_vec_prod$' ).
tff(func_def_280,type,
'image2$h': ( 'Int_set$' * 'Int_a_iarray_iarray_fun$' * 'Int_a_iarray_iarray_fun$' ) > 'A_iarray_iarray_a_iarray_iarray_prod_set$' ).
tff(func_def_281,type,
'fun_app$q': ( 'A_iarray_iarray_nat_fun$' * 'A_iarray_iarray$' ) > 'Nat$' ).
tff(func_def_282,type,
'fun_app$p': ( 'A_iarray_list_a_iarray_list_fun$' * 'A_iarray_list$' ) > 'A_iarray_list$' ).
tff(func_def_283,type,
'fun_app$ac': ( 'Int_int_prod_int_fun$' * 'Int_int_prod$' ) > $int ).
tff(func_def_284,type,
'swap$c': 'Int_int_prod$' > 'Int_int_prod$' ).
tff(func_def_285,type,
'zero$f': 'Int_int_prod_int_prod$' ).
tff(func_def_286,type,
'append$a': ( 'Int_list$' * 'Int_list$' ) > 'Int_list$' ).
tff(func_def_287,type,
'size_option$a': 'A_n_vec_n_vec_nat_fun$' > 'A_n_vec_n_vec_option_nat_fun$' ).
tff(func_def_288,type,
'nil$a': 'Nat_a_iarray_prod_list$' ).
tff(func_def_289,type,
'fstOp$b': ( 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_bool_fun_fun$' ) > 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_a_n_vec_n_vec_prod_fun$' ).
tff(func_def_290,type,
'fun_app$i': ( 'A_iarray_list_a_iarray_list_bool_fun_fun$' * 'A_iarray_list$' ) > 'A_iarray_list_bool_fun$' ).
tff(func_def_291,type,
'the$': 'A_n_vec_n_vec_option$' > 'A_n_vec_n_vec$' ).
tff(func_def_292,type,
'size$d': 'A_n_vec_n_vec_option$' > 'Nat$' ).
tff(func_def_293,type,
'plus$g': ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_294,type,
'enumerate$b': ( 'Nat$' * 'A_iarray_list_list$' ) > 'Nat_a_iarray_list_prod_list$' ).
tff(func_def_295,type,
'plus$f': ( 'A_iarray_set$' * 'A_iarray_set$' ) > 'A_iarray_set$' ).
tff(func_def_296,type,
'matrix_matrix_mult_iarray$': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_297,type,
'splice$': ( 'Nat_a_iarray_prod_list$' * 'Nat_a_iarray_prod_list$' ) > 'Nat_a_iarray_prod_list$' ).
tff(func_def_298,type,
'fun_app$u': ( 'Nat_a_iarray_prod_list_nat_fun$' * 'Nat_a_iarray_prod_list$' ) > 'Nat$' ).
tff(func_def_299,type,
'vec_to_iarray$': 'A_n_vec_n_vec$' > 'A_n_vec_iarray$' ).
tff(func_def_300,type,
'snd$g': 'Int_int_int_prod_prod$' > 'Int_int_prod$' ).
tff(func_def_301,type,
'pair$i': ( 'Int_set$' * 'Int_set$' ) > 'Int_set_int_set_prod$' ).
tff(func_def_302,type,
'lexord$b': 'A_iarray_list_a_iarray_list_prod_set$' > 'A_iarray_list_list_a_iarray_list_list_prod_set$' ).
tff(func_def_303,type,
'snd$b': 'Int_int_prod_int_fun$' ).
tff(func_def_304,type,
'plus$c': ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray_a_iarray_iarray_prod$' ).
tff(func_def_305,type,
'size_list$': ( 'A_iarray_nat_fun$' * 'A_iarray_list$' ) > 'Nat$' ).
tff(func_def_310,type,
sK0: 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_311,type,
sK1: ( 'A_iarray_iarray$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > 'A_iarray_iarray$' ).
tff(func_def_312,type,
sK2: 'Nat$' > 'A_iarray_list$' ).
tff(func_def_313,type,
sK3: 'A_iarray_iarray_option$' > 'A_iarray_iarray$' ).
tff(func_def_314,type,
sK4: 'A_iarray_iarray_option$' > 'A_iarray_iarray$' ).
tff(func_def_315,type,
sK5: 'A_iarray_iarray_option$' > 'A_iarray_iarray$' ).
tff(pred_def_1,type,
'fun_app$s': ( 'A_n_vec_n_vec_option_bool_fun$' * 'A_n_vec_n_vec_option$' ) > $o ).
tff(pred_def_2,type,
'fun_app$o': ( 'A_n_vec_n_vec_bool_fun$' * 'A_n_vec_n_vec$' ) > $o ).
tff(pred_def_3,type,
'member$q': ( 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod$' * 'Nat_a_iarray_prod_list_nat_a_iarray_prod_list_prod_set$' ) > $o ).
tff(pred_def_4,type,
'member$p': ( 'A_iarray_iarray_list_a_iarray_iarray_list_prod$' * 'A_iarray_iarray_list_a_iarray_iarray_list_prod_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$f': ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray$' ) > $o ).
tff(pred_def_6,type,
'csquare$': ( 'A_n_vec_n_vec_a_n_vec_n_vec_prod_set$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_a_n_vec_n_vec_prod_fun$' * 'A_n_vec_n_vec_a_n_vec_n_vec_prod_a_n_vec_n_vec_a_n_vec_n_vec_prod_fun$' ) > $o ).
tff(pred_def_7,type,
'fun_app$c': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_8,type,
'fun_app$ae': ( 'Int_int_prod_bool_fun$' * 'Int_int_prod$' ) > $o ).
tff(pred_def_9,type,
'member$r': ( 'Nat_a_iarray_prod_nat_a_iarray_prod_prod$' * 'Nat_a_iarray_prod_nat_a_iarray_prod_prod_set$' ) > $o ).
tff(pred_def_10,type,
'member$c': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_11,type,
'member$a': ( 'A_iarray$' * 'A_iarray_set$' ) > $o ).
tff(pred_def_12,type,
'member$l': ( 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod$' * 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_prod_set$' ) > $o ).
tff(pred_def_13,type,
'member$e': ( 'A_iarray_iarray_a_iarray_iarray_prod$' * 'A_iarray_iarray_a_iarray_iarray_prod_set$' ) > $o ).
tff(pred_def_14,type,
'fun_app$d': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_15,type,
'member$m': ( 'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod$' * 'A_iarray_list_a_iarray_list_prod_a_iarray_list_a_iarray_list_prod_prod_set$' ) > $o ).
tff(pred_def_16,type,
'csquare$b': ( 'Int_int_prod_set$' * 'Int_int_prod_int_fun$' * 'Int_int_prod_int_fun$' * 'Int_int_prod_int_int_prod_fun$' * 'Int_int_prod_int_int_prod_fun$' ) > $o ).
tff(pred_def_17,type,
'fun_app$a': ( 'A_iarray_list_a_iarray_list_prod_bool_fun$' * 'A_iarray_list_a_iarray_list_prod$' ) > $o ).
tff(pred_def_18,type,
'member$d': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_19,type,
'fun_app$': ( 'A_iarray_bool_fun$' * 'A_iarray$' ) > $o ).
tff(pred_def_20,type,
'fun_app$n': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_21,type,
'member$b': ( 'A_iarray_list$' * 'A_iarray_list_set$' ) > $o ).
tff(pred_def_22,type,
'fun_app$af': ( 'A_iarray_iarray_a_iarray_iarray_prod_bool_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod$' ) > $o ).
tff(pred_def_23,type,
'member$n': ( 'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod$' * 'A_iarray_a_iarray_prod_a_iarray_a_iarray_prod_prod_set$' ) > $o ).
tff(pred_def_24,type,
'member$k': ( 'Int_int_prod_int_int_prod_prod$' * 'Int_int_prod_int_int_prod_prod_set$' ) > $o ).
tff(pred_def_25,type,
'fun_app$b': ( 'A_iarray_list_bool_fun$' * 'A_iarray_list$' ) > $o ).
tff(pred_def_26,type,
'member$s': ( 'A_iarray_list_list_a_iarray_list_list_prod$' * 'A_iarray_list_list_a_iarray_list_list_prod_set$' ) > $o ).
tff(pred_def_27,type,
'member$i': ( 'Int_set$' * 'Int_set_set$' ) > $o ).
tff(pred_def_28,type,
'member$j': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_set$' ) > $o ).
tff(pred_def_29,type,
'fun_app$e': ( 'Nat_a_iarray_prod_bool_fun$' * 'Nat_a_iarray_prod$' ) > $o ).
tff(pred_def_30,type,
'member$g': ( 'Int_int_prod$' * 'Int_int_prod_set$' ) > $o ).
tff(pred_def_31,type,
'member$o': ( 'Int_list_int_list_prod$' * 'Int_list_int_list_prod_set$' ) > $o ).
tff(pred_def_32,type,
'fun_app$t': ( 'A_iarray_iarray_option_bool_fun$' * 'A_iarray_iarray_option$' ) > $o ).
tff(pred_def_33,type,
'csquare$a': ( 'A_iarray_iarray_a_iarray_iarray_prod_set$' * 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$' * 'A_iarray_iarray_a_iarray_iarray_prod_a_iarray_iarray_a_iarray_iarray_prod_fun$' ) > $o ).
tff(pred_def_34,type,
'member$f': ( 'A_iarray_a_iarray_prod$' * 'A_iarray_a_iarray_prod_set$' ) > $o ).
tff(pred_def_35,type,
'member$': ( 'A_iarray_list_a_iarray_list_prod$' * 'A_iarray_list_a_iarray_list_prod_set$' ) > $o ).
tff(pred_def_36,type,
'fun_app$ag': ( 'A_iarray_a_iarray_prod_bool_fun$' * 'A_iarray_a_iarray_prod$' ) > $o ).
tff(pred_def_37,type,
'member$h': ( 'A_iarray_iarray$' * 'A_iarray_iarray_set$' ) > $o ).
tff(pred_def_38,type,
'is_zero_iarray$a': 'A_n_vec_iarray$' > $o ).
tff(f963,plain,
$false,
inference(avatar_sat_refutation,[],[f865,f871,f962]) ).
tff(f962,plain,
( ~ spl6_1
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f961]) ).
tff(f961,plain,
( $false
| ~ spl6_1
| spl6_4 ),
inference(subsumption_resolution,[],[f960,f870]) ).
tff(f870,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$','matrix_to_iarray$'('a$'))) )
| spl6_4 ),
inference(avatar_component_clause,[],[f868]) ).
tff(f868,plain,
( spl6_4
<=> ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$','matrix_to_iarray$'('a$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f960,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$','matrix_to_iarray$'('a$'))) )
| ~ spl6_1 ),
inference(backward_demodulation,[],[f853,f958]) ).
tff(f958,plain,
! [X0: 'A_n_vec_n_vec$'] : ( 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$','matrix_to_iarray$'(X0))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0(X0),X0)))))) ),
inference(superposition,[],[f788,f814]) ).
tff(f814,plain,
! [X0: 'A_n_vec_n_vec$'] : ( 'fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'(X0))) = 'matrix_to_iarray$'('matrix_matrix_mult$'(sK0(X0),X0)) ),
inference(definition_unfolding,[],[f785,f729,f738]) ).
tff(f738,plain,
! [X0: 'A_iarray_iarray$'] : ( 'gauss_Jordan_iarrays$'(X0) = 'fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'(X0)) ),
inference(cnf_transformation,[],[f206]) ).
tff(f206,axiom,
! [X0: 'A_iarray_iarray$'] : ( 'gauss_Jordan_iarrays$'(X0) = 'fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom204) ).
tff(f729,plain,
! [X0: 'A_n_vec_n_vec$'] : ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(sK0(X0),X0) ),
inference(cnf_transformation,[],[f700]) ).
tff(f700,plain,
! [X0: 'A_n_vec_n_vec$'] : ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(sK0(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f687,f699]) ).
tff(f699,plain,
! [X0: 'A_n_vec_n_vec$'] :
( ? [X1: 'A_n_vec_n_vec$'] : ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(X1,X0) )
=> ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(sK0(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f687,plain,
! [X0: 'A_n_vec_n_vec$'] :
? [X1: 'A_n_vec_n_vec$'] : ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(X1,X0) ),
inference(pure_predicate_removal,[],[f207]) ).
tff(f207,axiom,
! [X0: 'A_n_vec_n_vec$'] :
? [X1: 'A_n_vec_n_vec$'] :
( ( 'gauss_Jordan$'(X0) = 'matrix_matrix_mult$'(X1,X0) )
& 'fun_app$o'('invertible$',X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom205) ).
tff(f785,plain,
! [X0: 'A_n_vec_n_vec$'] : ( 'matrix_to_iarray$'('gauss_Jordan$'(X0)) = 'gauss_Jordan_iarrays$'('matrix_to_iarray$'(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
! [X0: 'A_n_vec_n_vec$'] : ( 'matrix_to_iarray$'('gauss_Jordan$'(X0)) = 'gauss_Jordan_iarrays$'('matrix_to_iarray$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom28) ).
tff(f788,plain,
! [X0: 'A_iarray_iarray$'] : ( 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$',X0)) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'(X0)))))) ),
inference(definition_unfolding,[],[f736,f738]) ).
tff(f736,plain,
! [X0: 'A_iarray_iarray$'] : ( 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$',X0)) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'(X0))))) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
! [X0: 'A_iarray_iarray$'] : ( 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$',X0)) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'(X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom27) ).
tff(f853,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f851]) ).
tff(f851,plain,
( spl6_1
<=> ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f871,plain,
( ~ spl6_1
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f866,f868,f851]) ).
tff(f866,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$q'('rank_iarray$','matrix_to_iarray$'('a$'))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) ) ),
inference(forward_demodulation,[],[f837,f788]) ).
tff(f837,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$'))))))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) ) ),
inference(trivial_inequality_removal,[],[f793]) ).
tff(f793,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$'))))))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) )
| ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) != 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) ) ),
inference(definition_unfolding,[],[f771,f729,f738]) ).
tff(f771,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
| ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) != 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) )
| ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) != 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) ) ),
inference(cnf_transformation,[],[f692]) ).
tff(f692,plain,
( ( ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
& ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) != 'none$' ) )
| ( ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) != 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) )
& ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) ) ) )
& ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) = 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) ) )
| ( ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
& ( 'none$' != 'none$' ) )
| ( ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) != 'none$' )
& ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) ) ) )
& ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) != 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) ) ) ),
inference(ennf_transformation,[],[f24]) ).
tff(f24,negated_conjecture,
~ ( ( ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) != 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) )
=> ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'none$' = 'none$' ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'none$' ) ) ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) = 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) )
=> ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'none$' ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
tff(f23,conjecture,
( ( ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) != 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) )
=> ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'none$' = 'none$' ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'none$' ) ) ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) = 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) )
=> ( ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) ) )
& ( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) != 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) )
=> ( 'some$'('fun_app$r'('fst$','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$')))) = 'none$' ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture22) ).
tff(f865,plain,
spl6_1,
inference(avatar_split_clause,[],[f864,f851]) ).
tff(f864,plain,
'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))),
inference(duplicate_literal_removal,[],[f863]) ).
tff(f863,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) ) ),
inference(forward_demodulation,[],[f848,f814]) ).
tff(f848,plain,
( ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$'))))))) ) ),
inference(trivial_inequality_removal,[],[f811]) ).
tff(f811,plain,
( ( 'none$' != 'none$' )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('fun_app$r'('snd$a','gauss_Jordan_iarrays_PA$'('matrix_to_iarray$'('a$'))))))) )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('matrix_matrix_mult$'(sK0('a$'),'a$')))))) ) ),
inference(definition_unfolding,[],[f752,f738,f729]) ).
tff(f752,plain,
( ( 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('gauss_Jordan_iarrays$'('matrix_to_iarray$'('a$')))))) = 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) )
| ( 'none$' != 'none$' )
| ( 'fun_app$l'('of_nat$','fun_app$q'('nrows_iarray$','matrix_to_iarray$'('a$'))) = 'fun_app$l'('of_nat$','fun_app$m'('size$','fun_app$p'('filter$'('uu$'),'list_of$'('matrix_to_iarray$'('gauss_Jordan$'('a$')))))) ) ),
inference(cnf_transformation,[],[f692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:39:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.53 % (8810)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.18/0.53 % (8802)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.54 % (8824)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.54 % (8816)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (8814)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54 % (8815)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.55 % (8814)Instruction limit reached!
% 0.18/0.55 % (8814)------------------------------
% 0.18/0.55 % (8814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (8814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (8814)Termination reason: Unknown
% 0.18/0.55 % (8814)Termination phase: shuffling
% 0.18/0.55
% 0.18/0.55 % (8814)Memory used [KB]: 1791
% 0.18/0.55 % (8814)Time elapsed: 0.003 s
% 0.18/0.55 % (8814)Instructions burned: 3 (million)
% 0.18/0.55 % (8814)------------------------------
% 0.18/0.55 % (8814)------------------------------
% 0.18/0.55 % (8818)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55 % (8809)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.18/0.56 % (8808)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.18/0.56 % (8818)Instruction limit reached!
% 0.18/0.56 % (8818)------------------------------
% 0.18/0.56 % (8818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (8818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (8818)Termination reason: Unknown
% 0.18/0.56 % (8818)Termination phase: shuffling
% 0.18/0.56
% 0.18/0.56 % (8818)Memory used [KB]: 1791
% 0.18/0.56 % (8818)Time elapsed: 0.005 s
% 0.18/0.56 % (8818)Instructions burned: 3 (million)
% 0.18/0.56 % (8818)------------------------------
% 0.18/0.56 % (8818)------------------------------
% 0.18/0.56 % (8826)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.18/0.56 % (8825)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.56 % (8804)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.56 % (8817)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56 % (8817)Instruction limit reached!
% 0.18/0.56 % (8817)------------------------------
% 0.18/0.56 % (8817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (8817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (8803)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.56 % (8817)Termination reason: Unknown
% 0.18/0.56 % (8817)Termination phase: shuffling
% 0.18/0.56 % (8806)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.56
% 0.18/0.56 % (8817)Memory used [KB]: 1791
% 0.18/0.56 % (8817)Time elapsed: 0.003 s
% 0.18/0.56 % (8817)Instructions burned: 2 (million)
% 0.18/0.56 % (8817)------------------------------
% 0.18/0.56 % (8817)------------------------------
% 0.18/0.56 % (8804)Instruction limit reached!
% 0.18/0.56 % (8804)------------------------------
% 0.18/0.56 % (8804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (8804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (8804)Termination reason: Unknown
% 0.18/0.56 % (8804)Termination phase: Property scanning
% 0.18/0.56
% 0.18/0.56 % (8804)Memory used [KB]: 1791
% 0.18/0.56 % (8804)Time elapsed: 0.006 s
% 0.18/0.56 % (8804)Instructions burned: 9 (million)
% 0.18/0.56 % (8804)------------------------------
% 0.18/0.56 % (8804)------------------------------
% 0.18/0.56 % (8807)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.56 % (8805)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56 % (8805)Instruction limit reached!
% 0.18/0.56 % (8805)------------------------------
% 0.18/0.56 % (8805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (8805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (8805)Termination reason: Unknown
% 0.18/0.56 % (8805)Termination phase: shuffling
% 0.18/0.56
% 0.18/0.56 % (8805)Memory used [KB]: 1663
% 0.18/0.56 % (8805)Time elapsed: 0.002 s
% 0.18/0.56 % (8805)Instructions burned: 2 (million)
% 0.18/0.56 % (8805)------------------------------
% 0.18/0.56 % (8805)------------------------------
% 0.18/0.56 % (8813)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.40/0.57 % (8828)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.40/0.57 % (8813)Instruction limit reached!
% 1.40/0.57 % (8813)------------------------------
% 1.40/0.57 % (8813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (8813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (8813)Termination reason: Unknown
% 1.40/0.57 % (8813)Termination phase: Property scanning
% 1.40/0.57
% 1.40/0.57 % (8813)Memory used [KB]: 1791
% 1.40/0.57 % (8813)Time elapsed: 0.005 s
% 1.40/0.57 % (8813)Instructions burned: 6 (million)
% 1.40/0.57 % (8813)------------------------------
% 1.40/0.57 % (8813)------------------------------
% 1.40/0.57 % (8830)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.40/0.57 % (8829)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.40/0.57 % (8812)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.40/0.57 % (8815)Instruction limit reached!
% 1.40/0.57 % (8815)------------------------------
% 1.40/0.57 % (8815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (8815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (8815)Termination reason: Unknown
% 1.40/0.57 % (8815)Termination phase: Preprocessing 1
% 1.40/0.57
% 1.40/0.57 % (8815)Memory used [KB]: 2046
% 1.40/0.57 % (8815)Time elapsed: 0.010 s
% 1.40/0.57 % (8815)Instructions burned: 21 (million)
% 1.40/0.57 % (8815)------------------------------
% 1.40/0.57 % (8815)------------------------------
% 1.40/0.57 % (8830)Instruction limit reached!
% 1.40/0.57 % (8830)------------------------------
% 1.40/0.57 % (8830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (8830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (8830)Termination reason: Unknown
% 1.40/0.57 % (8830)Termination phase: Property scanning
% 1.40/0.57
% 1.40/0.57 % (8830)Memory used [KB]: 1791
% 1.40/0.57 % (8830)Time elapsed: 0.009 s
% 1.40/0.57 % (8830)Instructions burned: 23 (million)
% 1.40/0.57 % (8830)------------------------------
% 1.40/0.57 % (8830)------------------------------
% 1.40/0.58 % (8822)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.40/0.58 % (8810)Instruction limit reached!
% 1.40/0.58 % (8810)------------------------------
% 1.40/0.58 % (8810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (8810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (8810)Termination reason: Unknown
% 1.40/0.58 % (8810)Termination phase: Including theory axioms
% 1.40/0.58
% 1.40/0.58 % (8810)Memory used [KB]: 1791
% 1.40/0.58 % (8810)Time elapsed: 0.014 s
% 1.40/0.58 % (8810)Instructions burned: 28 (million)
% 1.40/0.58 % (8810)------------------------------
% 1.40/0.58 % (8810)------------------------------
% 1.40/0.58 % (8831)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.40/0.58 % (8821)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.58 % (8821)Instruction limit reached!
% 1.40/0.58 % (8821)------------------------------
% 1.40/0.58 % (8821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (8821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (8821)Termination reason: Unknown
% 1.40/0.58 % (8821)Termination phase: shuffling
% 1.40/0.58
% 1.40/0.58 % (8821)Memory used [KB]: 1791
% 1.40/0.58 % (8821)Time elapsed: 0.003 s
% 1.40/0.58 % (8821)Instructions burned: 3 (million)
% 1.40/0.58 % (8821)------------------------------
% 1.40/0.58 % (8821)------------------------------
% 1.40/0.58 % (8819)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.40/0.58 % (8822)Instruction limit reached!
% 1.40/0.58 % (8822)------------------------------
% 1.40/0.58 % (8822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (8822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (8822)Termination reason: Unknown
% 1.40/0.58 % (8822)Termination phase: Property scanning
% 1.40/0.58
% 1.40/0.58 % (8822)Memory used [KB]: 1791
% 1.40/0.58 % (8822)Time elapsed: 0.007 s
% 1.40/0.58 % (8822)Instructions burned: 17 (million)
% 1.40/0.58 % (8822)------------------------------
% 1.40/0.58 % (8822)------------------------------
% 1.40/0.58 % (8811)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.58 % (8811)Instruction limit reached!
% 1.40/0.58 % (8811)------------------------------
% 1.40/0.58 % (8811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (8811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (8811)Termination reason: Unknown
% 1.40/0.58 % (8811)Termination phase: shuffling
% 1.40/0.58
% 1.40/0.58 % (8811)Memory used [KB]: 1791
% 1.40/0.58 % (8811)Time elapsed: 0.003 s
% 1.40/0.58 % (8811)Instructions burned: 2 (million)
% 1.40/0.58 % (8811)------------------------------
% 1.40/0.58 % (8811)------------------------------
% 1.64/0.58 % (8823)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.64/0.59 % (8809)Instruction limit reached!
% 1.64/0.59 % (8809)------------------------------
% 1.64/0.59 % (8809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (8809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (8809)Termination reason: Unknown
% 1.64/0.59 % (8809)Termination phase: Preprocessing 2
% 1.64/0.59
% 1.64/0.59 % (8809)Memory used [KB]: 2430
% 1.64/0.59 % (8809)Time elapsed: 0.033 s
% 1.64/0.59 % (8809)Instructions burned: 37 (million)
% 1.64/0.59 % (8809)------------------------------
% 1.64/0.59 % (8809)------------------------------
% 1.64/0.59 % (8807)Instruction limit reached!
% 1.64/0.59 % (8807)------------------------------
% 1.64/0.59 % (8807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (8807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (8807)Termination reason: Unknown
% 1.64/0.59 % (8807)Termination phase: Property scanning
% 1.64/0.59
% 1.64/0.59 % (8807)Memory used [KB]: 1791
% 1.64/0.59 % (8807)Time elapsed: 0.008 s
% 1.64/0.59 % (8807)Instructions burned: 15 (million)
% 1.64/0.59 % (8807)------------------------------
% 1.64/0.59 % (8807)------------------------------
% 1.64/0.59 % (8820)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.64/0.59 % (8808)Instruction limit reached!
% 1.64/0.59 % (8808)------------------------------
% 1.64/0.59 % (8808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (8808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (8808)Termination reason: Unknown
% 1.64/0.59 % (8808)Termination phase: Property scanning
% 1.64/0.59
% 1.64/0.59 % (8808)Memory used [KB]: 1918
% 1.64/0.59 % (8808)Time elapsed: 0.019 s
% 1.64/0.59 % (8808)Instructions burned: 34 (million)
% 1.64/0.59 % (8808)------------------------------
% 1.64/0.59 % (8808)------------------------------
% 1.64/0.60 % (8829)Instruction limit reached!
% 1.64/0.60 % (8829)------------------------------
% 1.64/0.60 % (8829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (8829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (8829)Termination reason: Unknown
% 1.64/0.60 % (8829)Termination phase: Preprocessing 1
% 1.64/0.60
% 1.64/0.60 % (8829)Memory used [KB]: 2046
% 1.64/0.60 % (8829)Time elapsed: 0.010 s
% 1.64/0.60 % (8829)Instructions burned: 21 (million)
% 1.64/0.60 % (8829)------------------------------
% 1.64/0.60 % (8829)------------------------------
% 1.64/0.60 % (8827)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.64/0.60 % (8823)Instruction limit reached!
% 1.64/0.60 % (8823)------------------------------
% 1.64/0.60 % (8823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (8823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (8823)Termination reason: Unknown
% 1.64/0.60 % (8823)Termination phase: shuffling
% 1.64/0.60
% 1.64/0.60 % (8823)Memory used [KB]: 2174
% 1.64/0.60 % (8823)Time elapsed: 0.011 s
% 1.64/0.60 % (8823)Instructions burned: 23 (million)
% 1.64/0.60 % (8823)------------------------------
% 1.64/0.60 % (8823)------------------------------
% 1.64/0.60 % (8824)Instruction limit reached!
% 1.64/0.60 % (8824)------------------------------
% 1.64/0.60 % (8824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (8824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (8824)Termination reason: Unknown
% 1.64/0.60 % (8824)Termination phase: Preprocessing 3
% 1.64/0.60
% 1.64/0.60 % (8824)Memory used [KB]: 2558
% 1.64/0.60 % (8824)Time elapsed: 0.028 s
% 1.64/0.60 % (8824)Instructions burned: 47 (million)
% 1.64/0.60 % (8824)------------------------------
% 1.64/0.60 % (8824)------------------------------
% 1.64/0.60 % (8806)Instruction limit reached!
% 1.64/0.60 % (8806)------------------------------
% 1.64/0.60 % (8806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (8806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (8806)Termination reason: Unknown
% 1.64/0.60 % (8806)Termination phase: shuffling
% 1.64/0.60
% 1.64/0.60 % (8806)Memory used [KB]: 2174
% 1.64/0.60 % (8806)Time elapsed: 0.017 s
% 1.64/0.60 % (8806)Instructions burned: 38 (million)
% 1.64/0.60 % (8806)------------------------------
% 1.64/0.60 % (8806)------------------------------
% 1.64/0.61 % (8803)Instruction limit reached!
% 1.64/0.61 % (8803)------------------------------
% 1.64/0.61 % (8803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (8803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (8803)Termination reason: Unknown
% 1.64/0.61 % (8803)Termination phase: Preprocessing 1
% 1.64/0.61
% 1.64/0.61 % (8803)Memory used [KB]: 2174
% 1.64/0.61 % (8803)Time elapsed: 0.017 s
% 1.64/0.61 % (8803)Instructions burned: 34 (million)
% 1.64/0.61 % (8803)------------------------------
% 1.64/0.61 % (8803)------------------------------
% 1.64/0.61 % (8820)Instruction limit reached!
% 1.64/0.61 % (8820)------------------------------
% 1.64/0.61 % (8820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (8820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (8820)Termination reason: Unknown
% 1.64/0.61 % (8820)Termination phase: shuffling
% 1.64/0.61
% 1.64/0.61 % (8825)Instruction limit reached!
% 1.64/0.61 % (8825)------------------------------
% 1.64/0.61 % (8825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (8825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (8825)Termination reason: Unknown
% 1.64/0.61 % (8825)Termination phase: Preprocessing 3
% 1.64/0.61
% 1.64/0.61 % (8825)Memory used [KB]: 2942
% 1.64/0.61 % (8825)Time elapsed: 0.047 s
% 1.64/0.61 % (8825)Instructions burned: 51 (million)
% 1.64/0.61 % (8825)------------------------------
% 1.64/0.61 % (8825)------------------------------
% 1.64/0.62 % (8820)Memory used [KB]: 1791
% 1.64/0.62 % (8820)Time elapsed: 0.007 s
% 1.64/0.62 % (8820)Instructions burned: 16 (million)
% 1.64/0.62 % (8820)------------------------------
% 1.64/0.62 % (8820)------------------------------
% 1.64/0.62 % (8831)Instruction limit reached!
% 1.64/0.62 % (8831)------------------------------
% 1.64/0.62 % (8831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (8831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (8831)Termination reason: Unknown
% 1.64/0.62 % (8831)Termination phase: shuffling
% 1.64/0.62
% 1.64/0.62 % (8831)Memory used [KB]: 2430
% 1.64/0.62 % (8831)Time elapsed: 0.019 s
% 1.64/0.62 % (8831)Instructions burned: 41 (million)
% 1.64/0.62 % (8831)------------------------------
% 1.64/0.62 % (8831)------------------------------
% 1.64/0.62 % (8816)Instruction limit reached!
% 1.64/0.62 % (8816)------------------------------
% 1.64/0.62 % (8816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (8816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (8816)Termination reason: Unknown
% 1.64/0.62 % (8816)Termination phase: Preprocessing 3
% 1.64/0.62
% 1.64/0.62 % (8816)Memory used [KB]: 3070
% 1.64/0.62 % (8816)Time elapsed: 0.029 s
% 1.64/0.62 % (8816)Instructions burned: 50 (million)
% 1.64/0.62 % (8816)------------------------------
% 1.64/0.62 % (8816)------------------------------
% 1.64/0.62 % (8812)Instruction limit reached!
% 1.64/0.62 % (8812)------------------------------
% 1.64/0.62 % (8812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (8812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (8812)Termination reason: Unknown
% 1.64/0.62 % (8812)Termination phase: Preprocessing 2
% 1.64/0.62
% 1.64/0.62 % (8812)Memory used [KB]: 2302
% 1.64/0.62 % (8812)Time elapsed: 0.015 s
% 1.64/0.62 % (8812)Instructions burned: 36 (million)
% 1.64/0.62 % (8812)------------------------------
% 1.64/0.62 % (8812)------------------------------
% 1.64/0.62 % (8826)Instruction limit reached!
% 1.64/0.62 % (8826)------------------------------
% 1.64/0.62 % (8826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (8826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (8826)Termination reason: Unknown
% 1.64/0.62 % (8826)Termination phase: Preprocessing 3
% 1.64/0.62
% 1.64/0.62 % (8826)Memory used [KB]: 2942
% 1.64/0.62 % (8826)Time elapsed: 0.022 s
% 1.64/0.62 % (8826)Instructions burned: 48 (million)
% 1.64/0.62 % (8826)------------------------------
% 1.64/0.62 % (8826)------------------------------
% 1.90/0.64 % (8819)Instruction limit reached!
% 1.90/0.64 % (8819)------------------------------
% 1.90/0.64 % (8819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64 % (8819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64 % (8819)Termination reason: Unknown
% 1.90/0.64 % (8819)Termination phase: Preprocessing 3
% 1.90/0.64
% 1.90/0.64 % (8819)Memory used [KB]: 2814
% 1.90/0.64 % (8819)Time elapsed: 0.024 s
% 1.90/0.64 % (8819)Instructions burned: 51 (million)
% 1.90/0.64 % (8819)------------------------------
% 1.90/0.64 % (8819)------------------------------
% 1.90/0.64 % (8827)Instruction limit reached!
% 1.90/0.64 % (8827)------------------------------
% 1.90/0.64 % (8827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64 % (8827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64 % (8827)Termination reason: Unknown
% 1.90/0.64 % (8827)Termination phase: Preprocessing 3
% 1.90/0.64
% 1.90/0.64 % (8827)Memory used [KB]: 2558
% 1.90/0.64 % (8827)Time elapsed: 0.019 s
% 1.90/0.64 % (8827)Instructions burned: 43 (million)
% 1.90/0.64 % (8827)------------------------------
% 1.90/0.64 % (8827)------------------------------
% 1.90/0.64 % (8828)Instruction limit reached!
% 1.90/0.64 % (8828)------------------------------
% 1.90/0.64 % (8828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64 % (8828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64 % (8828)Termination reason: Unknown
% 1.90/0.64 % (8828)Termination phase: Preprocessing 3
% 1.90/0.64
% 1.90/0.64 % (8828)Memory used [KB]: 2686
% 1.90/0.64 % (8828)Time elapsed: 0.021 s
% 1.90/0.64 % (8828)Instructions burned: 44 (million)
% 1.90/0.64 % (8828)------------------------------
% 1.90/0.64 % (8828)------------------------------
% 1.94/0.69 % (8832)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 1.94/0.69 % (8835)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 1.94/0.70 % (8837)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 1.94/0.70 % (8836)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.94/0.70 % (8838)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 1.94/0.70 % (8843)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 1.94/0.71 % (8833)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.94/0.71 % (8841)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 1.95/0.71 % (8834)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 1.95/0.71 % (8832)Instruction limit reached!
% 1.95/0.71 % (8832)------------------------------
% 1.95/0.71 % (8832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.71 % (8832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.71 % (8832)Termination reason: Unknown
% 1.95/0.71 % (8832)Termination phase: shuffling
% 1.95/0.71
% 1.95/0.71 % (8832)Memory used [KB]: 1791
% 1.95/0.71 % (8832)Time elapsed: 0.008 s
% 1.95/0.71 % (8832)Instructions burned: 16 (million)
% 1.95/0.71 % (8832)------------------------------
% 1.95/0.71 % (8832)------------------------------
% 1.95/0.72 % (8846)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 1.95/0.72 % (8845)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 1.95/0.72 % (8842)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 1.95/0.73 % (8849)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 1.95/0.73 % (8840)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 1.95/0.73 % (8844)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 1.95/0.73 % (8839)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 1.95/0.73 % (8852)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 1.95/0.73 % (8851)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 1.95/0.74 % (8847)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 1.95/0.74 % (8834)Instruction limit reached!
% 1.95/0.74 % (8834)------------------------------
% 1.95/0.74 % (8834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.74 % (8834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.74 % (8834)Termination reason: Unknown
% 1.95/0.74 % (8834)Termination phase: shuffling
% 1.95/0.74
% 1.95/0.74 % (8834)Memory used [KB]: 2430
% 1.95/0.74 % (8834)Time elapsed: 0.013 s
% 1.95/0.74 % (8834)Instructions burned: 25 (million)
% 1.95/0.74 % (8834)------------------------------
% 1.95/0.74 % (8834)------------------------------
% 1.95/0.74 % (8848)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 1.95/0.74 % (8850)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 1.95/0.76 % (8854)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 1.95/0.76 % (8853)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 1.95/0.76 % (8856)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 1.95/0.76 % (8855)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.04/0.77 % (8833)Instruction limit reached!
% 2.04/0.77 % (8833)------------------------------
% 2.04/0.77 % (8833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.77 % (8833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.77 % (8833)Termination reason: Unknown
% 2.04/0.77 % (8833)Termination phase: Property scanning
% 2.04/0.77
% 2.04/0.77 % (8833)Memory used [KB]: 2430
% 2.04/0.77 % (8833)Time elapsed: 0.022 s
% 2.04/0.77 % (8833)Instructions burned: 47 (million)
% 2.04/0.77 % (8833)------------------------------
% 2.04/0.77 % (8833)------------------------------
% 2.04/0.77 % (8858)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.04/0.77 % (8857)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.04/0.78 % (8859)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.04/0.79 % (8860)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.04/0.81 % (8838)Instruction limit reached!
% 2.04/0.81 % (8838)------------------------------
% 2.04/0.81 % (8838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.81 % (8838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.81 % (8838)Termination reason: Unknown
% 2.04/0.81 % (8838)Termination phase: Property scanning
% 2.04/0.81
% 2.04/0.81 % (8838)Memory used [KB]: 3326
% 2.04/0.81 % (8838)Time elapsed: 0.027 s
% 2.04/0.81 % (8838)Instructions burned: 61 (million)
% 2.04/0.81 % (8838)------------------------------
% 2.04/0.81 % (8838)------------------------------
% 2.04/0.81 % (8837)Instruction limit reached!
% 2.04/0.81 % (8837)------------------------------
% 2.04/0.81 % (8837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.81 % (8837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.81 % (8837)Termination reason: Unknown
% 2.04/0.81 % (8837)Termination phase: Property scanning
% 2.04/0.81
% 2.04/0.81 % (8837)Memory used [KB]: 3454
% 2.04/0.81 % (8837)Time elapsed: 0.034 s
% 2.04/0.81 % (8837)Instructions burned: 79 (million)
% 2.04/0.81 % (8837)------------------------------
% 2.04/0.81 % (8837)------------------------------
% 2.04/0.84 % (8854)First to succeed.
% 2.04/0.84 % (8854)Refutation found. Thanks to Tanya!
% 2.04/0.84 % SZS status Theorem for theBenchmark
% 2.04/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.84 % (8854)------------------------------
% 2.04/0.84 % (8854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.84 % (8854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.84 % (8854)Termination reason: Refutation
% 2.04/0.84
% 2.04/0.84 % (8854)Memory used [KB]: 6652
% 2.04/0.84 % (8854)Time elapsed: 0.205 s
% 2.04/0.84 % (8854)Instructions burned: 48 (million)
% 2.04/0.84 % (8854)------------------------------
% 2.04/0.84 % (8854)------------------------------
% 2.04/0.84 % (8801)Success in time 0.501 s
%------------------------------------------------------------------------------