TSTP Solution File: ITP340_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Mon May 20 22:41:28 EDT 2024

% Result   : Theorem 0.90s 0.89s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  209
% Syntax   : Number of formulae    :  224 (  12 unt; 204 typ;   0 def)
%            Number of atoms       :   28 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   4   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   16 (  16 atm;   0 fun;   0 num;   0 var)
%            Number of types       :   50 (  47 usr;   2 ari)
%            Number of type conns  :  220 ( 137   >;  83   *;   0   +;   0  <<)
%            Number of predicates  :   26 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :  135 ( 135 usr;  20 con; 0-4 aty)
%            Number of variables   :   10 (   7   !;   3   ?;  10   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_27,type,
    tlbool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_40,type,
    'Cols_real_fun$': $tType ).

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    'fun_app$y': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_1,type,
    'uua$': 'Int_int_bool_fun_fun$' ).

tff(func_def_2,type,
    'fun_app$w': ( 'Real_set_real_set_fun$' * 'Real_set$' ) > 'Real_set$' ).

tff(func_def_3,type,
    'length$': 'A_iarray_iarray$' > 'Nat$' ).

tff(func_def_4,type,
    'length$a': 'A_iarray$' > 'Nat$' ).

tff(func_def_5,type,
    'gauss_Jordan_upt_k$': ( 'A_cols_vec_rows_vec$' * 'Nat$' ) > 'A_cols_vec_rows_vec$' ).

tff(func_def_6,type,
    'col_rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).

tff(func_def_7,type,
    'transpose$': 'A_cols_vec_rows_vec$' > 'A_rows_vec_cols_vec$' ).

tff(func_def_8,type,
    'top$a': 'Rows_set$' ).

tff(func_def_9,type,
    'less_eq$d': 'Cols_set_cols_set_bool_fun_fun$' ).

tff(func_def_10,type,
    'fun_app$n': ( 'Real_cols_fun$' * $real ) > 'Cols$' ).

tff(func_def_11,type,
    'fun_app$p': ( 'Cols_real_fun$' * 'Cols$' ) > $real ).

tff(func_def_12,type,
    'rank_iarray$': 'A_iarray_iarray$' > 'Nat$' ).

tff(func_def_13,type,
    'gauss_Jordan$': 'A_cols_vec_rows_vec$' > 'A_cols_vec_rows_vec$' ).

tff(func_def_14,type,
    'fun_app$ad': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).

tff(func_def_15,type,
    'rank$a': 'A_cols_vec_cols_vec$' > 'Nat$' ).

tff(func_def_16,type,
    'top$': 'Cols_set$' ).

tff(func_def_17,type,
    'row$b': ( 'Cols$' * 'A_rows_vec_cols_vec$' ) > 'A_rows_vec$' ).

tff(func_def_18,type,
    'from_nat$': 'Nat$' > 'Cols$' ).

tff(func_def_19,type,
    'card$a': 'Rows_set$' > 'Nat$' ).

tff(func_def_20,type,
    'transpose$a': 'A_rows_vec_cols_vec$' > 'A_cols_vec_rows_vec$' ).

tff(func_def_21,type,
    'fun_app$h': ( 'Cols_set_cols_set_bool_fun_fun$' * 'Cols_set$' ) > 'Cols_set_bool_fun$' ).

tff(func_def_22,type,
    'row_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).

tff(func_def_23,type,
    'one$': 'Cols$' ).

tff(func_def_24,type,
    'transpose_iarray$': 'A_iarray_iarray$' > 'A_iarray_iarray$' ).

tff(func_def_25,type,
    'uuc$': 'Int_int_bool_fun_fun$' ).

tff(func_def_26,type,
    'iarray_to_matrix$': 'A_iarray_iarray$' > 'A_cols_vec_rows_vec$' ).

tff(func_def_27,type,
    'fun_app$d': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_28,type,
    'from_nat$a': 'Nat$' > 'Rows$' ).

tff(func_def_29,type,
    'to_nat$a': 'Rows$' > 'Nat$' ).

tff(func_def_30,type,
    'fun_app$a': ( 'Real_real_bool_fun_fun$' * $real ) > 'Real_bool_fun$' ).

tff(func_def_31,type,
    'column$b': ( 'Cols$' * 'A_cols_vec_rows_vec$' ) > 'A_rows_vec$' ).

tff(func_def_32,type,
    'fun_app$s': ( 'Cols_set_int_fun$' * 'Cols_set$' ) > $int ).

tff(func_def_33,type,
    'matrix_to_iarray$b': 'A_cols_vec_cols_vec$' > 'A_iarray_iarray$' ).

tff(func_def_34,type,
    'transpose$b': 'A_cols_vec_cols_vec$' > 'A_cols_vec_cols_vec$' ).

tff(func_def_35,type,
    'column_add$': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'Cols$' * 'A$' ) > 'A_cols_vec_rows_vec$' ).

tff(func_def_36,type,
    'fun_app$ac': ( 'Nat_a_iarray_fun$' * 'Nat$' ) > 'A_iarray$' ).

tff(func_def_37,type,
    'fun_app$r': ( 'Int_cols_set_fun$' * $int ) > 'Cols_set$' ).

tff(func_def_38,type,
    'less_eq$a': 'Cols_cols_bool_fun_fun$' ).

tff(func_def_39,type,
    'i$': 'Nat$' ).

tff(func_def_40,type,
    'of_nat$': 'Nat_int_fun$' ).

tff(func_def_41,type,
    'basis_null_space_iarrays$': 'A_iarray_iarray$' > 'A_iarray_set$' ).

tff(func_def_42,type,
    'mult_column$': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'A$' ) > 'A_cols_vec_rows_vec$' ).

tff(func_def_43,type,
    'sub$': 'A_iarray_iarray$' > 'Nat_a_iarray_fun$' ).

tff(func_def_44,type,
    'fun_app$ab': ( 'Bool_real_fun$' * tlbool ) > $real ).

tff(func_def_45,type,
    'matrix_to_iarray$a': 'A_rows_vec_cols_vec$' > 'A_iarray_iarray$' ).

tff(func_def_46,type,
    'uud$': 'Real_real_bool_fun_fun$' ).

tff(func_def_47,type,
    'gauss_Jordan_upt_k_iarrays$': ( 'A_iarray_iarray$' * 'Nat$' ) > 'A_iarray_iarray$' ).

tff(func_def_48,type,
    'nrows_iarray$': 'A_iarray_iarray$' > 'Nat$' ).

tff(func_def_49,type,
    tltrue: tlbool ).

tff(func_def_50,type,
    'ncols$': 'A_cols_vec_rows_vec$' > 'Nat$' ).

tff(func_def_51,type,
    'to_nat$': 'Cols$' > 'Nat$' ).

tff(func_def_52,type,
    'uu$': 'Real_set$' > 'Real_bool_fun$' ).

tff(func_def_53,type,
    'a$': 'A_cols_vec_rows_vec$' ).

tff(func_def_54,type,
    'zero$c': 'A_cols_vec$' ).

tff(func_def_55,type,
    'zero$a': 'A_cols_vec_rows_vec$' ).

tff(func_def_56,type,
    'mult_column_iarray$': ( 'A_iarray_iarray$' * 'Nat$' * 'A$' ) > 'A_iarray_iarray$' ).

tff(func_def_57,type,
    'row$': ( 'Cols$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec$' ).

tff(func_def_58,type,
    'vec_nth$a': ( 'A_cols_vec$' * 'Cols$' ) > 'A$' ).

tff(func_def_59,type,
    'less$a': 'Cols_set_cols_set_bool_fun_fun$' ).

tff(func_def_60,type,
    'of_fun$': ( 'Nat_a_iarray_fun$' * 'Nat$' ) > 'A_iarray_iarray$' ).

tff(func_def_61,type,
    'less$': 'Cols_cols_bool_fun_fun$' ).

tff(func_def_62,type,
    'fun_app$j': ( 'Int_real_fun$' * $int ) > $real ).

tff(func_def_63,type,
    'fun_app$q': ( 'Cols_cols_fun$' * 'Cols$' ) > 'Cols$' ).

tff(func_def_64,type,
    'p_Gauss_Jordan$': 'A_rows_vec_cols_vec$' > 'A_cols_vec_cols_vec$' ).

tff(func_def_65,type,
    'fun_app$v': ( 'Real_set_cols_set_fun$' * 'Real_set$' ) > 'Cols_set$' ).

tff(func_def_66,type,
    'zero$': 'Cols$' ).

tff(func_def_67,type,
    'fun_app$o': ( 'Cols_int_fun$' * 'Cols$' ) > $int ).

tff(func_def_68,type,
    'sub$a': ( 'A_iarray$' * 'Nat$' ) > 'A$' ).

tff(func_def_69,type,
    'zero$b': 'A_rows_vec_cols_vec$' ).

tff(func_def_70,type,
    'vec_to_iarray$': 'A_rows_vec$' > 'A_iarray$' ).

tff(func_def_71,type,
    'ncols_iarray$': 'A_iarray_iarray$' > 'Nat$' ).

tff(func_def_72,type,
    'fun_app$f': ( 'Cols_cols_bool_fun_fun$' * 'Cols$' ) > 'Cols_bool_fun$' ).

tff(func_def_73,type,
    'matrix_to_iarray$': 'A_cols_vec_rows_vec$' > 'A_iarray_iarray$' ).

tff(func_def_74,type,
    'basis_left_null_space_iarrays$': 'A_iarray_iarray$' > 'A_iarray_set$' ).

tff(func_def_75,type,
    'fun_app$m': ( 'Int_cols_fun$' * $int ) > 'Cols$' ).

tff(func_def_76,type,
    'column_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).

tff(func_def_77,type,
    'fun_app$t': ( 'Real_set_bool_real_fun_fun$' * 'Real_set$' ) > 'Bool_real_fun$' ).

tff(func_def_78,type,
    'column_add_iarray$': ( 'A_iarray_iarray$' * 'Nat$' * 'Nat$' * 'A$' ) > 'A_iarray_iarray$' ).

tff(func_def_79,type,
    'fun_app$k': ( 'Real_int_fun$' * $real ) > $int ).

tff(func_def_80,type,
    'uub$': 'Real_real_bool_fun_fun$' ).

tff(func_def_81,type,
    'fun_app$aa': ( 'Bool_int_fun$' * tlbool ) > $int ).

tff(func_def_82,type,
    tlfalse: tlbool ).

tff(func_def_83,type,
    'column$a': ( 'Rows$' * 'A_rows_vec_cols_vec$' ) > 'A_cols_vec$' ).

tff(func_def_84,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_85,type,
    'row$a': ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec$' ).

tff(func_def_86,type,
    'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).

tff(func_def_87,type,
    'vec_to_iarray$a': 'A_cols_vec$' > 'A_iarray$' ).

tff(func_def_88,type,
    'fun_app$i': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_89,type,
    'rank$b': 'A_rows_vec_cols_vec$' > 'Nat$' ).

tff(func_def_90,type,
    'card$': 'Cols_set$' > 'Nat$' ).

tff(func_def_91,type,
    'column$': ( 'Cols$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec$' ).

tff(func_def_92,type,
    'rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).

tff(func_def_93,type,
    'row_rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).

tff(func_def_94,type,
    'fun_app$l': ( 'Real_real_fun$' * $real ) > $real ).

tff(func_def_95,type,
    'fun_app$u': ( 'Real_set_bool_int_fun_fun$' * 'Real_set$' ) > 'Bool_int_fun$' ).

tff(func_def_96,type,
    'vec_nth$': ( 'A_cols_vec_rows_vec$' * 'Rows$' ) > 'A_cols_vec$' ).

tff(func_def_97,type,
    'collect$': 'Real_bool_fun$' > 'Real_set$' ).

tff(func_def_98,type,
    'fun_app$z': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).

tff(func_def_109,type,
    sK3: $int > $int ).

tff(func_def_110,type,
    sK4: $int > $int ).

tff(func_def_111,type,
    sK5: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_112,type,
    sK6: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_113,type,
    sK7: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_114,type,
    sK8: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_115,type,
    sK9: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_116,type,
    sK10: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_117,type,
    sK11: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_118,type,
    sK12: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_119,type,
    sK13: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_120,type,
    sK14: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_121,type,
    sK15: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_122,type,
    sK16: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).

tff(func_def_123,type,
    sK17: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_124,type,
    sK18: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).

tff(func_def_125,type,
    sK19: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_126,type,
    sK20: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_127,type,
    sK21: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).

tff(func_def_128,type,
    sK22: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_129,type,
    sK23: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_130,type,
    sK24: 'Cols_bool_fun$' > 'Cols$' ).

tff(func_def_131,type,
    sK25: ( 'A_cols_vec_rows_vec$' * 'Nat_a_iarray_fun$' ) > 'Rows$' ).

tff(func_def_132,type,
    sK26: 'Nat$' > 'Nat$' ).

tff(func_def_133,type,
    sK27: 'Nat$' > 'Nat$' ).

tff(func_def_134,type,
    sK28: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_135,type,
    sK29: 'Nat$' > 'Nat$' ).

tff(func_def_136,type,
    sK30: 'Nat$' > 'Nat$' ).

tff(func_def_137,type,
    sK31: 'Nat$' > 'Nat$' ).

tff(func_def_138,type,
    sK32: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_139,type,
    sK33: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_140,type,
    sK34: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_141,type,
    sK35: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_142,type,
    sK36: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_143,type,
    sK37: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_144,type,
    sK38: 'Nat_int_fun$' > 'Nat$' ).

tff(pred_def_1,type,
    'less_eq$b': ( 'Bool_real_fun$' * 'Bool_real_fun$' ) > $o ).

tff(pred_def_2,type,
    'less$e': ( 'Bool_int_fun$' * 'Bool_int_fun$' ) > $o ).

tff(pred_def_3,type,
    'less$d': ( 'Bool_real_fun$' * 'Bool_real_fun$' ) > $o ).

tff(pred_def_4,type,
    'less_eq$e': ( 'Real_set$' * 'Real_set$' ) > $o ).

tff(pred_def_5,type,
    'less$c': ( 'Rows$' * 'Rows$' ) > $o ).

tff(pred_def_6,type,
    'preordering_bdd$a': ( 'Real_real_bool_fun_fun$' * 'Real_real_bool_fun_fun$' ) > $o ).

tff(pred_def_7,type,
    'preordering_bdd$': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).

tff(pred_def_8,type,
    'ordering$a': ( 'Real_real_bool_fun_fun$' * 'Real_real_bool_fun_fun$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$g': ( 'Cols_set_bool_fun$' * 'Cols_set$' ) > $o ).

tff(pred_def_10,type,
    'less_eq$': ( 'Rows$' * 'Rows$' ) > $o ).

tff(pred_def_11,type,
    'ordering_top$': ( 'Cols_set_cols_set_bool_fun_fun$' * 'Cols_set_cols_set_bool_fun_fun$' * 'Cols_set$' ) > $o ).

tff(pred_def_12,type,
    'fun_app$': ( 'Real_bool_fun$' * $real ) > $o ).

tff(pred_def_13,type,
    'less_eq$c': ( 'Bool_int_fun$' * 'Bool_int_fun$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$e': ( 'Cols_bool_fun$' * 'Cols$' ) > $o ).

tff(pred_def_15,type,
    'less$b': ( 'Real_set$' * 'Real_set$' ) > $o ).

tff(pred_def_16,type,
    'member$': ( $real * 'Real_set$' ) > $o ).

tff(pred_def_17,type,
    'fun_app$x': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_18,type,
    'ordering$': ( 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).

tff(pred_def_19,type,
    'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_24,type,
    sP0: ( $int * $int * $int ) > $o ).

tff(pred_def_25,type,
    sP1: ( $int * $int * $int ) > $o ).

tff(pred_def_26,type,
    sP2: ( $int * $int * $int ) > $o ).

tff(f3149,plain,
    $false,
    inference(subsumption_resolution,[],[f3129,f2245]) ).

tff(f2245,plain,
    ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank$'('a$'))),
    inference(backward_demodulation,[],[f1502,f1595]) ).

tff(f1595,plain,
    ! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) ),
    inference(cnf_transformation,[],[f380]) ).

tff(f380,axiom,
    ! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom378) ).

tff(f1502,plain,
    ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
    inference(cnf_transformation,[],[f624]) ).

tff(f624,plain,
    ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    $lesseq('fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$'))),'fun_app$d'('of_nat$','i$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).

tff(f3129,plain,
    $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank$'('a$'))),
    inference(backward_demodulation,[],[f1828,f2503]) ).

tff(f2503,plain,
    'fun_app$d'('of_nat$','i$') = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),
    inference(resolution,[],[f1339,f1500]) ).

tff(f1500,plain,
    $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))),
    inference(cnf_transformation,[],[f433]) ).

tff(f433,axiom,
    $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom431) ).

tff(f1339,plain,
    ! [X0: 'Nat$'] :
      ( ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$')))
      | ( 'fun_app$d'('of_nat$',X0) = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) ) ),
    inference(cnf_transformation,[],[f967]) ).

tff(f967,plain,
    ! [X0: 'Nat$'] :
      ( ( 'fun_app$d'('of_nat$',X0) = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) )
      | ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$'))) ),
    inference(ennf_transformation,[],[f447]) ).

tff(f447,axiom,
    ! [X0: 'Nat$'] :
      ( $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$')))
     => ( 'fun_app$d'('of_nat$',X0) = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom445) ).

tff(f1828,plain,
    $less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),'fun_app$d'('of_nat$','rank$'('a$'))),
    inference(equality_resolution,[],[f1334]) ).

tff(f1334,plain,
    ! [X0: 'Cols$'] :
      ( ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) )
      | $less('fun_app$d'('of_nat$','to_nat$'(X0)),'fun_app$d'('of_nat$','rank$'('a$'))) ),
    inference(cnf_transformation,[],[f962]) ).

tff(f962,plain,
    ! [X0: 'Cols$'] :
      ( $less('fun_app$d'('of_nat$','to_nat$'(X0)),'fun_app$d'('of_nat$','rank$'('a$')))
      | ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
    inference(ennf_transformation,[],[f623]) ).

tff(f623,plain,
    ~ ? [X0: 'Cols$'] :
        ( ~ $less('fun_app$d'('of_nat$','to_nat$'(X0)),'fun_app$d'('of_nat$','rank$'('a$')))
        & ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ? [X0: 'Cols$'] :
        ( $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0)))
        & ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ? [X0: 'Cols$'] :
      ( $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0)))
      & ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 15:41:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_EQU_ARI problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.76  % (32234)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.76  % (32227)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.76  % (32229)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.76  % (32228)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.76  % (32231)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.76  % (32230)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.76  % (32232)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.76  % (32233)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.77  % (32234)Refutation not found, incomplete strategy% (32234)------------------------------
% 0.57/0.77  % (32234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (32234)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (32234)Memory used [KB]: 1807
% 0.57/0.77  % (32234)Time elapsed: 0.011 s
% 0.57/0.77  % (32234)Instructions burned: 42 (million)
% 0.57/0.77  % (32234)------------------------------
% 0.57/0.77  % (32234)------------------------------
% 0.57/0.77  % (32235)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.77  % (32230)Instruction limit reached!
% 0.57/0.77  % (32230)------------------------------
% 0.57/0.77  % (32230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (32230)Termination reason: Unknown
% 0.57/0.77  % (32230)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (32230)Memory used [KB]: 1706
% 0.57/0.77  % (32230)Time elapsed: 0.015 s
% 0.57/0.77  % (32230)Instructions burned: 33 (million)
% 0.57/0.77  % (32230)------------------------------
% 0.57/0.77  % (32230)------------------------------
% 0.57/0.77  % (32227)Instruction limit reached!
% 0.57/0.77  % (32227)------------------------------
% 0.57/0.77  % (32227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (32227)Termination reason: Unknown
% 0.57/0.77  % (32227)Termination phase: Property scanning
% 0.57/0.77  
% 0.57/0.77  % (32227)Memory used [KB]: 1765
% 0.57/0.77  % (32227)Time elapsed: 0.016 s
% 0.57/0.77  % (32227)Instructions burned: 35 (million)
% 0.57/0.77  % (32227)------------------------------
% 0.57/0.77  % (32227)------------------------------
% 0.57/0.77  % (32231)Instruction limit reached!
% 0.57/0.77  % (32231)------------------------------
% 0.57/0.77  % (32231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (32231)Termination reason: Unknown
% 0.57/0.77  % (32231)Termination phase: Naming
% 0.57/0.77  
% 0.57/0.77  % (32231)Memory used [KB]: 1883
% 0.57/0.77  % (32231)Time elapsed: 0.016 s
% 0.57/0.77  % (32231)Instructions burned: 35 (million)
% 0.57/0.77  % (32231)------------------------------
% 0.57/0.77  % (32231)------------------------------
% 0.57/0.78  % (32236)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.57/0.78  % (32237)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.57/0.78  % (32238)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.57/0.78  % (32232)Instruction limit reached!
% 0.57/0.78  % (32232)------------------------------
% 0.57/0.78  % (32232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (32232)Termination reason: Unknown
% 0.57/0.78  % (32232)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (32232)Memory used [KB]: 1980
% 0.57/0.78  % (32232)Time elapsed: 0.021 s
% 0.57/0.78  % (32232)Instructions burned: 46 (million)
% 0.57/0.78  % (32232)------------------------------
% 0.57/0.78  % (32232)------------------------------
% 0.57/0.78  % (32228)Instruction limit reached!
% 0.57/0.78  % (32228)------------------------------
% 0.57/0.78  % (32228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (32228)Termination reason: Unknown
% 0.57/0.78  % (32228)Termination phase: Property scanning
% 0.57/0.78  
% 0.57/0.78  % (32228)Memory used [KB]: 2465
% 0.57/0.78  % (32228)Time elapsed: 0.024 s
% 0.57/0.78  % (32228)Instructions burned: 52 (million)
% 0.57/0.78  % (32228)------------------------------
% 0.57/0.78  % (32228)------------------------------
% 0.57/0.78  % (32239)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.57/0.78  % (32235)Instruction limit reached!
% 0.57/0.78  % (32235)------------------------------
% 0.57/0.78  % (32235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (32235)Termination reason: Unknown
% 0.57/0.78  % (32235)Termination phase: Property scanning
% 0.57/0.78  
% 0.57/0.78  % (32235)Memory used [KB]: 2432
% 0.57/0.78  % (32235)Time elapsed: 0.014 s
% 0.57/0.78  % (32235)Instructions burned: 56 (million)
% 0.57/0.78  % (32235)------------------------------
% 0.57/0.78  % (32235)------------------------------
% 0.57/0.79  % (32240)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.57/0.79  % (32241)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.57/0.80  % (32229)Instruction limit reached!
% 0.57/0.80  % (32229)------------------------------
% 0.57/0.80  % (32229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (32229)Termination reason: Unknown
% 0.57/0.80  % (32229)Termination phase: Saturation
% 0.57/0.80  
% 0.57/0.80  % (32229)Memory used [KB]: 2187
% 0.57/0.80  % (32229)Time elapsed: 0.039 s
% 0.57/0.80  % (32229)Instructions burned: 78 (million)
% 0.57/0.80  % (32229)------------------------------
% 0.57/0.80  % (32229)------------------------------
% 0.57/0.80  % (32233)Instruction limit reached!
% 0.57/0.80  % (32233)------------------------------
% 0.57/0.80  % (32233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (32233)Termination reason: Unknown
% 0.57/0.80  % (32233)Termination phase: Saturation
% 0.57/0.80  
% 0.57/0.80  % (32233)Memory used [KB]: 2422
% 0.57/0.80  % (32233)Time elapsed: 0.039 s
% 0.57/0.80  % (32233)Instructions burned: 85 (million)
% 0.57/0.80  % (32233)------------------------------
% 0.57/0.80  % (32233)------------------------------
% 0.57/0.80  % (32236)Instruction limit reached!
% 0.57/0.80  % (32236)------------------------------
% 0.57/0.80  % (32236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (32236)Termination reason: Unknown
% 0.57/0.80  % (32236)Termination phase: Clausification
% 0.57/0.80  
% 0.57/0.80  % (32236)Memory used [KB]: 2377
% 0.57/0.80  % (32236)Time elapsed: 0.023 s
% 0.57/0.80  % (32236)Instructions burned: 50 (million)
% 0.57/0.80  % (32236)------------------------------
% 0.57/0.80  % (32236)------------------------------
% 0.57/0.80  % (32238)Instruction limit reached!
% 0.57/0.80  % (32238)------------------------------
% 0.57/0.80  % (32238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (32238)Termination reason: Unknown
% 0.57/0.80  % (32238)Termination phase: Property scanning
% 0.57/0.80  
% 0.57/0.80  % (32238)Memory used [KB]: 2095
% 0.57/0.80  % (32238)Time elapsed: 0.024 s
% 0.57/0.80  % (32238)Instructions burned: 54 (million)
% 0.57/0.80  % (32238)------------------------------
% 0.57/0.80  % (32238)------------------------------
% 0.57/0.80  % (32242)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.57/0.80  % (32243)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.57/0.80  % (32244)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.57/0.80  % (32240)Instruction limit reached!
% 0.57/0.80  % (32240)------------------------------
% 0.57/0.80  % (32240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (32240)Termination reason: Unknown
% 0.57/0.80  % (32240)Termination phase: Preprocessing 3
% 0.57/0.80  
% 0.57/0.80  % (32240)Memory used [KB]: 2186
% 0.57/0.80  % (32240)Time elapsed: 0.019 s
% 0.57/0.80  % (32240)Instructions burned: 42 (million)
% 0.57/0.80  % (32240)------------------------------
% 0.57/0.80  % (32240)------------------------------
% 0.57/0.81  % (32245)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.57/0.81  % (32246)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.57/0.82  % (32246)Instruction limit reached!
% 0.57/0.82  % (32246)------------------------------
% 0.57/0.82  % (32246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.82  % (32246)Termination reason: Unknown
% 0.57/0.82  % (32246)Termination phase: SInE selection
% 0.57/0.82  
% 0.57/0.82  % (32246)Memory used [KB]: 1625
% 0.57/0.82  % (32246)Time elapsed: 0.015 s
% 0.57/0.82  % (32246)Instructions burned: 32 (million)
% 0.57/0.82  % (32246)------------------------------
% 0.57/0.82  % (32246)------------------------------
% 0.57/0.83  % (32247)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.90/0.83  % (32245)Instruction limit reached!
% 0.90/0.83  % (32245)------------------------------
% 0.90/0.83  % (32245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.83  % (32245)Termination reason: Unknown
% 0.90/0.83  % (32245)Termination phase: Property scanning
% 0.90/0.83  
% 0.90/0.83  % (32245)Memory used [KB]: 2735
% 0.90/0.83  % (32245)Time elapsed: 0.029 s
% 0.90/0.83  % (32245)Instructions burned: 62 (million)
% 0.90/0.83  % (32245)------------------------------
% 0.90/0.83  % (32245)------------------------------
% 0.90/0.84  % (32248)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.90/0.84  % (32244)Instruction limit reached!
% 0.90/0.84  % (32244)------------------------------
% 0.90/0.84  % (32244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.84  % (32244)Termination reason: Unknown
% 0.90/0.84  % (32244)Termination phase: Saturation
% 0.90/0.84  
% 0.90/0.84  % (32244)Memory used [KB]: 2669
% 0.90/0.84  % (32244)Time elapsed: 0.042 s
% 0.90/0.84  % (32244)Instructions burned: 93 (million)
% 0.90/0.84  % (32244)------------------------------
% 0.90/0.84  % (32244)------------------------------
% 0.90/0.85  % (32249)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.90/0.85  % (32242)Instruction limit reached!
% 0.90/0.85  % (32242)------------------------------
% 0.90/0.85  % (32242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.85  % (32242)Termination reason: Unknown
% 0.90/0.85  % (32242)Termination phase: Saturation
% 0.90/0.85  
% 0.90/0.85  % (32242)Memory used [KB]: 2816
% 0.90/0.85  % (32242)Time elapsed: 0.053 s
% 0.90/0.85  % (32242)Instructions burned: 117 (million)
% 0.90/0.85  % (32242)------------------------------
% 0.90/0.85  % (32242)------------------------------
% 0.90/0.86  % (32250)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.90/0.86  % (32241)Instruction limit reached!
% 0.90/0.86  % (32241)------------------------------
% 0.90/0.86  % (32241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.86  % (32241)Termination reason: Unknown
% 0.90/0.86  % (32241)Termination phase: Saturation
% 0.90/0.86  
% 0.90/0.86  % (32241)Memory used [KB]: 3011
% 0.90/0.86  % (32241)Time elapsed: 0.071 s
% 0.90/0.86  % (32241)Instructions burned: 243 (million)
% 0.90/0.86  % (32241)------------------------------
% 0.90/0.86  % (32241)------------------------------
% 0.90/0.86  % (32251)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.90/0.86  % (32248)Instruction limit reached!
% 0.90/0.86  % (32248)------------------------------
% 0.90/0.86  % (32248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.86  % (32248)Termination reason: Unknown
% 0.90/0.86  % (32248)Termination phase: Property scanning
% 0.90/0.86  
% 0.90/0.86  % (32248)Memory used [KB]: 2366
% 0.90/0.86  % (32248)Time elapsed: 0.027 s
% 0.90/0.86  % (32248)Instructions burned: 57 (million)
% 0.90/0.86  % (32248)------------------------------
% 0.90/0.86  % (32248)------------------------------
% 0.90/0.87  % (32252)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.90/0.87  % (32243)Instruction limit reached!
% 0.90/0.87  % (32243)------------------------------
% 0.90/0.87  % (32243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.87  % (32243)Termination reason: Unknown
% 0.90/0.87  % (32243)Termination phase: Saturation
% 0.90/0.87  
% 0.90/0.87  % (32243)Memory used [KB]: 3206
% 0.90/0.87  % (32243)Time elapsed: 0.068 s
% 0.90/0.87  % (32243)Instructions burned: 144 (million)
% 0.90/0.87  % (32243)------------------------------
% 0.90/0.87  % (32243)------------------------------
% 0.90/0.87  % (32249)Instruction limit reached!
% 0.90/0.87  % (32249)------------------------------
% 0.90/0.87  % (32249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.87  % (32249)Termination reason: Unknown
% 0.90/0.87  % (32249)Termination phase: Saturation
% 0.90/0.87  
% 0.90/0.87  % (32249)Memory used [KB]: 2035
% 0.90/0.87  % (32249)Time elapsed: 0.024 s
% 0.90/0.87  % (32249)Instructions burned: 53 (million)
% 0.90/0.87  % (32249)------------------------------
% 0.90/0.87  % (32249)------------------------------
% 0.90/0.87  % (32253)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 0.90/0.87  % (32254)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 0.90/0.88  % (32250)Instruction limit reached!
% 0.90/0.88  % (32250)------------------------------
% 0.90/0.88  % (32250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.88  % (32250)Termination reason: Unknown
% 0.90/0.88  % (32250)Termination phase: Clausification
% 0.90/0.88  
% 0.90/0.88  % (32250)Memory used [KB]: 2501
% 0.90/0.88  % (32250)Time elapsed: 0.021 s
% 0.90/0.88  % (32250)Instructions burned: 47 (million)
% 0.90/0.88  % (32250)------------------------------
% 0.90/0.88  % (32250)------------------------------
% 0.90/0.88  % (32255)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 0.90/0.88  % (32252)Instruction limit reached!
% 0.90/0.88  % (32252)------------------------------
% 0.90/0.88  % (32252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.88  % (32252)Termination reason: Unknown
% 0.90/0.88  % (32252)Termination phase: Property scanning
% 0.90/0.88  
% 0.90/0.88  % (32252)Memory used [KB]: 1691
% 0.90/0.88  % (32252)Time elapsed: 0.015 s
% 0.90/0.88  % (32252)Instructions burned: 37 (million)
% 0.90/0.88  % (32252)------------------------------
% 0.90/0.88  % (32252)------------------------------
% 0.90/0.88  % (32237)Instruction limit reached!
% 0.90/0.88  % (32237)------------------------------
% 0.90/0.88  % (32237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.88  % (32237)Termination reason: Unknown
% 0.90/0.88  % (32237)Termination phase: Saturation
% 0.90/0.88  
% 0.90/0.88  % (32237)Memory used [KB]: 2385
% 0.90/0.88  % (32237)Time elapsed: 0.106 s
% 0.90/0.88  % (32237)Instructions burned: 208 (million)
% 0.90/0.88  % (32237)------------------------------
% 0.90/0.88  % (32237)------------------------------
% 0.90/0.88  % (32256)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 0.90/0.88  % (32257)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 0.90/0.89  % (32247)First to succeed.
% 0.90/0.89  % (32247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32226"
% 0.90/0.89  % (32247)Refutation found. Thanks to Tanya!
% 0.90/0.89  % SZS status Theorem for theBenchmark
% 0.90/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.89  % (32247)------------------------------
% 0.90/0.89  % (32247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.89  % (32247)Termination reason: Refutation
% 0.90/0.89  
% 0.90/0.89  % (32247)Memory used [KB]: 2161
% 0.90/0.89  % (32247)Time elapsed: 0.083 s
% 0.90/0.89  % (32247)Instructions burned: 133 (million)
% 0.90/0.89  % (32226)Success in time 0.526 s
% 0.90/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------