TSTP Solution File: ITP340_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:27:16 EDT 2022
% Result : Theorem 2.53s 0.67s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 465
% Syntax : Number of formulae : 500 ( 15 unt; 457 typ; 0 def)
% Number of atoms : 94 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 45 ~; 28 |; 15 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 94 ( 60 atm; 0 fun; 0 num; 34 var)
% Number of types : 50 ( 47 usr; 2 ari)
% Number of type conns : 523 ( 390 >; 133 *; 0 +; 0 <<)
% Number of predicates : 32 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 382 ( 382 usr; 20 con; 0-4 aty)
% Number of variables : 58 ( 55 !; 3 ?; 58 :)
% 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$' ) > $real ).
tff(func_def_109,type,
sK9: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_110,type,
sK10: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_111,type,
sK11: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_112,type,
sK12: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_113,type,
sK13: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_114,type,
sK14: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_115,type,
sK15: 'Real_cols_fun$' > $real ).
tff(func_def_116,type,
sK16: 'Real_cols_fun$' > $real ).
tff(func_def_117,type,
sK17: 'Int_int_fun$' > $int ).
tff(func_def_118,type,
sK18: 'Int_int_fun$' > $int ).
tff(func_def_119,type,
sK19: 'Int_real_fun$' > $int ).
tff(func_def_120,type,
sK20: 'Int_real_fun$' > $int ).
tff(func_def_121,type,
sK21: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_122,type,
sK22: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_123,type,
sK23: 'Real_int_fun$' > $real ).
tff(func_def_124,type,
sK24: 'Real_int_fun$' > $real ).
tff(func_def_125,type,
sK25: 'Real_int_fun$' > $real ).
tff(func_def_126,type,
sK26: 'Real_int_fun$' > $real ).
tff(func_def_127,type,
sK27: $real > $real ).
tff(func_def_128,type,
sK28: 'Real_real_fun$' > $real ).
tff(func_def_129,type,
sK29: 'Real_real_fun$' > $real ).
tff(func_def_130,type,
sK30: 'Real_real_fun$' > $real ).
tff(func_def_131,type,
sK31: 'Real_real_fun$' > $real ).
tff(func_def_132,type,
sK32: 'Int_real_fun$' > $int ).
tff(func_def_133,type,
sK33: 'Int_real_fun$' > $int ).
tff(func_def_134,type,
sK34: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_135,type,
sK35: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK36: 'Int_int_fun$' > $int ).
tff(func_def_137,type,
sK37: 'Int_int_fun$' > $int ).
tff(func_def_138,type,
sK38: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_139,type,
sK39: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_140,type,
sK40: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_141,type,
sK41: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_142,type,
sK42: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_143,type,
sK43: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_144,type,
sK44: 'Int_int_fun$' > $int ).
tff(func_def_145,type,
sK45: 'Int_int_fun$' > $int ).
tff(func_def_146,type,
sK46: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_147,type,
sK47: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_148,type,
sK48: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_149,type,
sK49: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_150,type,
sK50: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_151,type,
sK51: ( $real * $real * $real ) > $real ).
tff(func_def_152,type,
sK52: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_153,type,
sK53: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_154,type,
sK54: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_155,type,
sK55: 'Real_int_fun$' > $real ).
tff(func_def_156,type,
sK56: 'Real_int_fun$' > $real ).
tff(func_def_157,type,
sK57: $real > $real ).
tff(func_def_158,type,
sK58: 'Real_real_fun$' > $real ).
tff(func_def_159,type,
sK59: 'Real_real_fun$' > $real ).
tff(func_def_160,type,
sK60: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_161,type,
sK61: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_162,type,
sK62: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_163,type,
sK63: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_164,type,
sK64: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_165,type,
sK65: 'Int_cols_set_fun$' > $int ).
tff(func_def_166,type,
sK66: 'Int_cols_set_fun$' > $int ).
tff(func_def_167,type,
sK67: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_168,type,
sK68: 'Int_real_fun$' > $int ).
tff(func_def_169,type,
sK69: 'Int_real_fun$' > $int ).
tff(func_def_170,type,
sK70: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_171,type,
sK71: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_172,type,
sK72: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_173,type,
sK73: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_174,type,
sK74: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_175,type,
sK75: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_176,type,
sK76: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_177,type,
sK77: 'Int_int_fun$' > $int ).
tff(func_def_178,type,
sK78: 'Int_int_fun$' > $int ).
tff(func_def_179,type,
sK79: ( $real * $real ) > $real ).
tff(func_def_180,type,
sK80: 'Int_int_fun$' > $int ).
tff(func_def_181,type,
sK81: 'Int_int_fun$' > $int ).
tff(func_def_182,type,
sK82: 'Int_cols_fun$' > $int ).
tff(func_def_183,type,
sK83: 'Int_cols_fun$' > $int ).
tff(func_def_184,type,
sK84: 'Real_int_fun$' > $real ).
tff(func_def_185,type,
sK85: 'Real_int_fun$' > $real ).
tff(func_def_186,type,
sK86: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_187,type,
sK87: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_188,type,
sK88: 'Int_real_fun$' > $int ).
tff(func_def_189,type,
sK89: 'Int_real_fun$' > $int ).
tff(func_def_190,type,
sK90: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_191,type,
sK91: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_192,type,
sK92: 'Int_real_fun$' > $int ).
tff(func_def_193,type,
sK93: 'Int_real_fun$' > $int ).
tff(func_def_194,type,
sK94: ( $real * $real * $real ) > $real ).
tff(func_def_195,type,
sK95: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_196,type,
sK96: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_197,type,
sK97: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_198,type,
sK98: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_199,type,
sK99: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_200,type,
sK100: 'Real_int_fun$' > $real ).
tff(func_def_201,type,
sK101: 'Real_int_fun$' > $real ).
tff(func_def_202,type,
sK102: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_203,type,
sK103: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_204,type,
sK104: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_205,type,
sK105: $int > $int ).
tff(func_def_206,type,
sK106: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_207,type,
sK107: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_208,type,
sK108: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_209,type,
sK109: 'Real_cols_fun$' > $real ).
tff(func_def_210,type,
sK110: 'Real_cols_fun$' > $real ).
tff(func_def_211,type,
sK111: 'Int_cols_fun$' > $int ).
tff(func_def_212,type,
sK112: 'Int_cols_fun$' > $int ).
tff(func_def_213,type,
sK113: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_214,type,
sK114: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_215,type,
sK115: $real > $real ).
tff(func_def_216,type,
sK116: 'Int_int_fun$' > $int ).
tff(func_def_217,type,
sK117: 'Int_int_fun$' > $int ).
tff(func_def_218,type,
sK118: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_219,type,
sK119: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_220,type,
sK120: 'Real_real_fun$' > $real ).
tff(func_def_221,type,
sK121: 'Real_real_fun$' > $real ).
tff(func_def_222,type,
sK122: 'Real_cols_fun$' > $real ).
tff(func_def_223,type,
sK123: 'Real_cols_fun$' > $real ).
tff(func_def_224,type,
sK124: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_225,type,
sK125: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_226,type,
sK126: 'Int_cols_fun$' > $int ).
tff(func_def_227,type,
sK127: 'Int_cols_fun$' > $int ).
tff(func_def_228,type,
sK128: 'Int_cols_set_fun$' > $int ).
tff(func_def_229,type,
sK129: 'Int_cols_set_fun$' > $int ).
tff(func_def_230,type,
sK130: 'Nat$' > 'Nat$' ).
tff(func_def_231,type,
sK131: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_232,type,
sK132: ( 'Nat_a_iarray_fun$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_233,type,
sK133: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_234,type,
sK134: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_235,type,
sK135: ( 'Real_bool_fun$' * 'Real_bool_fun$' ) > $real ).
tff(func_def_236,type,
sK136: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_237,type,
sK137: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_238,type,
sK138: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_239,type,
sK139: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_240,type,
sK140: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_241,type,
sK141: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_242,type,
sK142: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_243,type,
sK143: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_244,type,
sK144: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_245,type,
sK145: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_246,type,
sK146: 'Int_cols_fun$' > $int ).
tff(func_def_247,type,
sK147: 'Int_cols_fun$' > $int ).
tff(func_def_248,type,
sK148: 'Nat$' > 'Nat$' ).
tff(func_def_249,type,
sK149: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_250,type,
sK150: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_251,type,
sK151: 'Int_real_fun$' > $int ).
tff(func_def_252,type,
sK152: 'Int_real_fun$' > $int ).
tff(func_def_253,type,
sK153: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_254,type,
sK154: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_255,type,
sK155: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_256,type,
sK156: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_257,type,
sK157: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_258,type,
sK158: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_259,type,
sK159: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_260,type,
sK160: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_261,type,
sK161: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_262,type,
sK162: 'Int_real_fun$' > $int ).
tff(func_def_263,type,
sK163: 'Int_real_fun$' > $int ).
tff(func_def_264,type,
sK164: 'Int_real_fun$' > $int ).
tff(func_def_265,type,
sK165: 'Int_real_fun$' > $int ).
tff(func_def_266,type,
sK166: 'Int_int_fun$' > $int ).
tff(func_def_267,type,
sK167: 'Int_int_fun$' > $int ).
tff(func_def_268,type,
sK168: 'Nat$' > 'Nat$' ).
tff(func_def_269,type,
sK169: 'Int_real_fun$' > $int ).
tff(func_def_270,type,
sK170: 'Int_real_fun$' > $int ).
tff(func_def_271,type,
sK171: 'Real_int_fun$' > $real ).
tff(func_def_272,type,
sK172: 'Real_int_fun$' > $real ).
tff(func_def_273,type,
sK173: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_274,type,
sK174: 'Real_real_fun$' > $real ).
tff(func_def_275,type,
sK175: 'Real_real_fun$' > $real ).
tff(func_def_276,type,
sK176: 'Real_int_fun$' > $real ).
tff(func_def_277,type,
sK177: 'Real_int_fun$' > $real ).
tff(func_def_278,type,
sK178: 'Int_cols_fun$' > $int ).
tff(func_def_279,type,
sK179: 'Int_cols_fun$' > $int ).
tff(func_def_280,type,
sK180: 'Int_real_fun$' > $int ).
tff(func_def_281,type,
sK181: 'Int_real_fun$' > $int ).
tff(func_def_282,type,
sK182: 'Real_int_fun$' > $real ).
tff(func_def_283,type,
sK183: 'Real_int_fun$' > $real ).
tff(func_def_284,type,
sK184: ( 'Nat$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_285,type,
sK185: ( 'Nat$' * 'Nat_real_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_286,type,
sK186: 'Real_real_fun$' > $real ).
tff(func_def_287,type,
sK187: 'Real_real_fun$' > $real ).
tff(func_def_288,type,
sK188: 'Real_int_fun$' > $real ).
tff(func_def_289,type,
sK189: 'Real_int_fun$' > $real ).
tff(func_def_290,type,
sK190: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_291,type,
sK191: 'Real_real_fun$' > $real ).
tff(func_def_292,type,
sK192: 'Real_real_fun$' > $real ).
tff(func_def_293,type,
sK193: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_294,type,
sK194: 'Int_int_fun$' > $int ).
tff(func_def_295,type,
sK195: 'Int_int_fun$' > $int ).
tff(func_def_296,type,
sK196: 'Int_int_fun$' > $int ).
tff(func_def_297,type,
sK197: 'Int_int_fun$' > $int ).
tff(func_def_298,type,
sK198: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_299,type,
sK199: 'Real_real_fun$' > $real ).
tff(func_def_300,type,
sK200: 'Real_real_fun$' > $real ).
tff(func_def_301,type,
sK201: 'Int_int_fun$' > $int ).
tff(func_def_302,type,
sK202: 'Int_int_fun$' > $int ).
tff(func_def_303,type,
sK203: ( $real * $real ) > $real ).
tff(func_def_304,type,
sK204: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_305,type,
sK205: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_306,type,
sK206: ( $real * $real ) > $real ).
tff(func_def_307,type,
sK207: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_308,type,
sK208: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_309,type,
sK209: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_310,type,
sK210: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_311,type,
sK211: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_312,type,
sK212: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_313,type,
sK213: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_314,type,
sK214: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_315,type,
sK215: 'Nat$' > 'Nat$' ).
tff(func_def_316,type,
sK216: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_317,type,
sK217: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_318,type,
sK218: 'Real_real_fun$' > $real ).
tff(func_def_319,type,
sK219: 'Real_real_fun$' > $real ).
tff(func_def_320,type,
sK220: 'Real_int_fun$' > $real ).
tff(func_def_321,type,
sK221: 'Real_int_fun$' > $real ).
tff(func_def_322,type,
sK222: 'Int_real_fun$' > $int ).
tff(func_def_323,type,
sK223: 'Int_real_fun$' > $int ).
tff(func_def_324,type,
sK224: 'Real_cols_fun$' > $real ).
tff(func_def_325,type,
sK225: 'Real_cols_fun$' > $real ).
tff(func_def_326,type,
sK226: 'Real_real_fun$' > $real ).
tff(func_def_327,type,
sK227: 'Real_real_fun$' > $real ).
tff(func_def_328,type,
sK228: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_329,type,
sK229: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_330,type,
sK230: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_331,type,
sK231: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_332,type,
sK232: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_333,type,
sK233: 'Real_real_fun$' > $real ).
tff(func_def_334,type,
sK234: 'Real_real_fun$' > $real ).
tff(func_def_335,type,
sK235: 'Real_real_fun$' > $real ).
tff(func_def_336,type,
sK236: 'Real_real_fun$' > $real ).
tff(func_def_337,type,
sK237: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_338,type,
sK238: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_339,type,
sK239: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_340,type,
sK240: 'Nat$' > 'Nat$' ).
tff(func_def_341,type,
sK241: ( 'Nat$' * 'Cols_set$' ) > 'Cols_set$' ).
tff(func_def_342,type,
sK242: 'Real_int_fun$' > $real ).
tff(func_def_343,type,
sK243: 'Real_int_fun$' > $real ).
tff(func_def_344,type,
sK244: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_345,type,
sK245: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_346,type,
sK246: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_347,type,
sK247: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_348,type,
sK248: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_349,type,
sK249: 'Int_int_fun$' > $int ).
tff(func_def_350,type,
sK250: 'Int_int_fun$' > $int ).
tff(func_def_351,type,
sK251: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_352,type,
sK252: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_353,type,
sK253: 'Int_cols_set_fun$' > $int ).
tff(func_def_354,type,
sK254: 'Int_cols_set_fun$' > $int ).
tff(func_def_355,type,
sK255: 'Real_cols_fun$' > $real ).
tff(func_def_356,type,
sK256: 'Real_cols_fun$' > $real ).
tff(func_def_357,type,
sK257: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_358,type,
sK258: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_359,type,
sK259: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_360,type,
sK260: ( $real * $real ) > $real ).
tff(func_def_361,type,
sK261: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_362,type,
sK262: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_363,type,
sK263: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_364,type,
sK264: $int > $int ).
tff(func_def_365,type,
sK265: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_366,type,
sK266: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_367,type,
sK267: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_368,type,
sK268: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_369,type,
sK269: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_370,type,
sK270: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_371,type,
sK271: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_372,type,
sK272: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_373,type,
sK273: 'Real_int_fun$' > $real ).
tff(func_def_374,type,
sK274: 'Real_int_fun$' > $real ).
tff(func_def_375,type,
sK275: 'Real_set$' > $real ).
tff(func_def_376,type,
sK276: ( 'Real_set$' * $real ) > $real ).
tff(func_def_377,type,
sK277: ( 'Real_set$' * $real ) > $real ).
tff(func_def_378,type,
sK278: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_379,type,
sK279: 'Int_int_fun$' > $int ).
tff(func_def_380,type,
sK280: 'Int_int_fun$' > $int ).
tff(func_def_381,type,
sK281: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_382,type,
sK282: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_383,type,
sK283: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_384,type,
sK284: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_385,type,
sK285: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_386,type,
sK286: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_387,type,
sK287: 'Int_real_fun$' > $int ).
tff(func_def_388,type,
sK288: 'Int_real_fun$' > $int ).
tff(func_def_389,type,
sK289: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_390,type,
sK290: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_391,type,
sK291: $real > $real ).
tff(pred_def_1,type,
'less_eq$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: ( $real * $real * $real ) > $o ).
tff(pred_def_25,type,
sP1: ( $real * $real * $real ) > $o ).
tff(pred_def_26,type,
sP2: ( $real * $real * $real ) > $o ).
tff(pred_def_27,type,
sP3: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_28,type,
sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_29,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_30,type,
sP6: ( $int * $int * $int ) > $o ).
tff(pred_def_31,type,
sP7: ( $int * $int * $int ) > $o ).
tff(pred_def_32,type,
sP8: ( $int * $int * $int ) > $o ).
tff(f4291,plain,
$false,
inference(subsumption_resolution,[],[f4283,f4092]) ).
tff(f4092,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','col_rank$'('a$'))),
inference(backward_demodulation,[],[f3614,f4085]) ).
tff(f4085,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) = 'fun_app$d'('of_nat$','col_rank$'(X0)) ),
inference(forward_demodulation,[],[f3761,f3324]) ).
tff(f3324,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(f3761,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','col_rank$'(X0)) ),
inference(cnf_transformation,[],[f436]) ).
tff(f436,axiom,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','col_rank$'(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom434) ).
tff(f3614,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
inference(cnf_transformation,[],[f641]) ).
tff(f641,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(f4283,plain,
$less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','col_rank$'('a$'))),
inference(resolution,[],[f4268,f3796]) ).
tff(f3796,plain,
! [X1: $int] : ~ $less(X1,X1),
inference(equality_resolution,[],[f2876]) ).
tff(f2876,plain,
! [X0: $int,X1: $int] :
( ( X0 != X1 )
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f2021]) ).
tff(f2021,plain,
! [X0: $int,X1: $int] :
( ( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) )
& ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| ~ $less(X1,X0) ) ),
inference(flattening,[],[f2020]) ).
tff(f2020,plain,
! [X0: $int,X1: $int] :
( ( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) )
& ( ( ( X0 != X1 )
& ~ $less(X0,X1) )
| ~ $less(X1,X0) ) ),
inference(nnf_transformation,[],[f1279]) ).
tff(f1279,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
<=> ( ( X0 != X1 )
& ~ $less(X0,X1) ) ),
inference(rectify,[],[f840]) ).
tff(f840,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,X0)
& ( X0 != X1 ) )
<=> $less(X0,X1) ),
inference(theory_normalization,[],[f307]) ).
tff(f307,axiom,
! [X1: $int,X0: $int] :
( ( $lesseq(X0,X1)
& ( X0 != X1 ) )
<=> $less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom305) ).
tff(f4268,plain,
! [X0: $int] :
( $less('fun_app$d'('of_nat$','i$'),X0)
| $less(X0,'fun_app$d'('of_nat$','col_rank$'('a$'))) ),
inference(forward_demodulation,[],[f4267,f4244]) ).
tff(f4244,plain,
'fun_app$d'('of_nat$','i$') = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),
inference(resolution,[],[f3882,f3282]) ).
tff(f3282,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(f3882,plain,
! [X1: 'Nat$'] :
( ~ $less('fun_app$d'('of_nat$',X1),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$',X1) = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X1))) ) ),
inference(equality_resolution,[],[f3388]) ).
tff(f3388,plain,
! [X0: 'Cols$',X1: 'Nat$'] :
( ( 'from_nat$'(X1) != X0 )
| ~ $less('fun_app$d'('of_nat$',X1),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$','to_nat$'(X0)) = 'fun_app$d'('of_nat$',X1) ) ),
inference(cnf_transformation,[],[f1676]) ).
tff(f1676,plain,
! [X0: 'Cols$',X1: 'Nat$'] :
( ( 'from_nat$'(X1) != X0 )
| ~ $less('fun_app$d'('of_nat$',X1),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$','to_nat$'(X0)) = 'fun_app$d'('of_nat$',X1) ) ),
inference(flattening,[],[f1675]) ).
tff(f1675,plain,
! [X0: 'Cols$',X1: 'Nat$'] :
( ( 'from_nat$'(X1) != X0 )
| ~ $less('fun_app$d'('of_nat$',X1),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$','to_nat$'(X0)) = 'fun_app$d'('of_nat$',X1) ) ),
inference(ennf_transformation,[],[f904]) ).
tff(f904,plain,
! [X0: 'Cols$',X1: 'Nat$'] :
( ( $less('fun_app$d'('of_nat$',X1),'fun_app$d'('of_nat$','card$'('top$')))
& ( 'fun_app$d'('of_nat$','to_nat$'(X0)) != 'fun_app$d'('of_nat$',X1) ) )
=> ( 'from_nat$'(X1) != X0 ) ),
inference(rectify,[],[f449]) ).
tff(f449,axiom,
! [X1: 'Cols$',X0: 'Nat$'] :
( ( $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$')))
& ( 'fun_app$d'('of_nat$','to_nat$'(X1)) != 'fun_app$d'('of_nat$',X0) ) )
=> ( 'from_nat$'(X0) != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom447) ).
tff(f4267,plain,
! [X0: $int] :
( $less(X0,'fun_app$d'('of_nat$','col_rank$'('a$')))
| $less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),X0) ),
inference(equality_resolution,[],[f4229]) ).
tff(f4229,plain,
! [X10: 'Cols$',X11: $int] :
( ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X10,'p_Gauss_Jordan$'('transpose$'('a$'))) )
| $less(X11,'fun_app$d'('of_nat$','col_rank$'('a$')))
| $less('fun_app$d'('of_nat$','to_nat$'(X10)),X11) ),
inference(resolution,[],[f3746,f4093]) ).
tff(f4093,plain,
! [X0: 'Cols$'] :
( $less('fun_app$d'('of_nat$','to_nat$'(X0)),'fun_app$d'('of_nat$','col_rank$'('a$')))
| ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
inference(backward_demodulation,[],[f3968,f4085]) ).
tff(f3968,plain,
! [X0: 'Cols$'] :
( $less('fun_app$d'('of_nat$','to_nat$'(X0)),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$'))))
| ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
inference(backward_demodulation,[],[f3368,f3324]) ).
tff(f3368,plain,
! [X0: 'Cols$'] :
( ( '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,[],[f1754]) ).
tff(f1754,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,[],[f808]) ).
tff(f808,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(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ? [X0: 'Cols$'] :
( ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) )
& $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0))) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
? [X0: 'Cols$'] :
( ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) )
& $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
tff(f3746,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X1)
| $less(X2,X0)
| $less(X0,X1) ),
inference(cnf_transformation,[],[f1383]) ).
tff(f1383,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X2,X0)
| ~ $less(X2,X1)
| $less(X0,X1) ),
inference(flattening,[],[f1382]) ).
tff(f1382,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ $less(X2,X1)
| $less(X2,X0)
| $less(X0,X1) ),
inference(ennf_transformation,[],[f1289]) ).
tff(f1289,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(X2,X0)
& ~ $less(X0,X1) )
=> ~ $less(X2,X1) ),
inference(rectify,[],[f845]) ).
tff(f845,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( ~ $less(X2,X1)
& ~ $less(X1,X0) )
=> ~ $less(X2,X0) ),
inference(theory_normalization,[],[f366]) ).
tff(f366,axiom,
! [X1: $int,X0: $int,X2: $int] :
( ( $lesseq(X1,X2)
& $lesseq(X0,X1) )
=> $lesseq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom364) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26 % Computer : n010.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 00:10:29 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.37 % (1201)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.37 % (1210)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.38 % (1209)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.38 % (1202)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.39 % (1190)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.10/0.39 % (1189)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.39 % (1192)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.39 % (1193)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.39 % (1194)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.39 % (1217)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.10/0.39 % (1191)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.40 % (1204)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.41 % (1197)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.41 % (1208)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.10/0.41 % (1195)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.41 % (1199)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.41 % (1195)Instruction limit reached!
% 0.10/0.41 % (1195)------------------------------
% 0.10/0.41 % (1195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41 % (1195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41 % (1195)Termination reason: Unknown
% 0.10/0.41 % (1195)Termination phase: Property scanning
% 0.10/0.41
% 0.10/0.41 % (1195)Memory used [KB]: 1663
% 0.10/0.41 % (1195)Time elapsed: 0.004 s
% 0.10/0.41 % (1195)Instructions burned: 7 (million)
% 0.10/0.41 % (1195)------------------------------
% 0.10/0.41 % (1195)------------------------------
% 0.10/0.42 % (1188)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.42 % (1205)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.42 % (1196)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.42 % (1200)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.42 % (1203)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.10/0.42 % (1190)Instruction limit reached!
% 0.10/0.42 % (1190)------------------------------
% 0.10/0.42 % (1190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (1190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42 % (1190)Termination reason: Unknown
% 0.10/0.42 % (1190)Termination phase: Unused predicate definition removal
% 0.10/0.42
% 0.10/0.42 % (1190)Memory used [KB]: 2046
% 0.10/0.42 % (1190)Time elapsed: 0.019 s
% 0.10/0.42 % (1190)Instructions burned: 37 (million)
% 0.10/0.42 % (1190)------------------------------
% 0.10/0.42 % (1190)------------------------------
% 0.10/0.42 % (1207)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.42 % (1211)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.44 % (1198)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.44 % (1196)Instruction limit reached!
% 0.10/0.44 % (1196)------------------------------
% 0.10/0.44 % (1196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (1196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44 % (1196)Termination reason: Unknown
% 0.10/0.44 % (1196)Termination phase: shuffling
% 0.10/0.44
% 0.10/0.44 % (1196)Memory used [KB]: 1535
% 0.10/0.44 % (1196)Time elapsed: 0.002 s
% 0.10/0.44 % (1196)Instructions burned: 2 (million)
% 0.10/0.44 % (1196)------------------------------
% 0.10/0.44 % (1196)------------------------------
% 0.10/0.44 % (1212)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.44 % (1206)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45 % (1213)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.45 % (1216)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.46 % (1189)Instruction limit reached!
% 0.10/0.46 % (1189)------------------------------
% 0.10/0.46 % (1189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (1189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (1189)Termination reason: Unknown
% 0.10/0.46 % (1189)Termination phase: Clausification
% 0.10/0.46
% 0.10/0.46 % (1189)Memory used [KB]: 3070
% 0.10/0.46 % (1189)Time elapsed: 0.024 s
% 0.10/0.46 % (1189)Instructions burned: 50 (million)
% 0.10/0.46 % (1189)------------------------------
% 0.10/0.46 % (1189)------------------------------
% 0.10/0.46 % (1214)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.46 % (1215)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.10/0.46 % (1193)Instruction limit reached!
% 0.10/0.46 % (1193)------------------------------
% 0.10/0.46 % (1193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (1193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (1193)Termination reason: Unknown
% 0.10/0.46 % (1193)Termination phase: Preprocessing 3
% 0.10/0.46
% 0.10/0.46 % (1193)Memory used [KB]: 2942
% 0.10/0.46 % (1193)Time elapsed: 0.023 s
% 0.10/0.46 % (1193)Instructions burned: 50 (million)
% 0.10/0.46 % (1193)------------------------------
% 0.10/0.46 % (1193)------------------------------
% 0.10/0.47 % (1194)Instruction limit reached!
% 0.10/0.47 % (1194)------------------------------
% 0.10/0.47 % (1194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47 % (1194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (1194)Termination reason: Unknown
% 0.10/0.47 % (1194)Termination phase: Preprocessing 3
% 0.10/0.47
% 0.10/0.47 % (1194)Memory used [KB]: 2942
% 0.10/0.47 % (1194)Time elapsed: 0.031 s
% 0.10/0.47 % (1194)Instructions burned: 51 (million)
% 0.10/0.47 % (1194)------------------------------
% 0.10/0.47 % (1194)------------------------------
% 0.10/0.47 % (1192)Instruction limit reached!
% 0.10/0.47 % (1192)------------------------------
% 0.10/0.47 % (1192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47 % (1192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (1192)Termination reason: Unknown
% 0.10/0.47 % (1192)Termination phase: Preprocessing 3
% 0.10/0.47
% 0.10/0.47 % (1192)Memory used [KB]: 2942
% 0.10/0.47 % (1192)Time elapsed: 0.026 s
% 0.10/0.47 % (1192)Instructions burned: 51 (million)
% 0.10/0.47 % (1192)------------------------------
% 0.10/0.47 % (1192)------------------------------
% 0.10/0.48 % (1191)Instruction limit reached!
% 0.10/0.48 % (1191)------------------------------
% 0.10/0.48 % (1191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1191)Termination reason: Unknown
% 0.10/0.48 % (1191)Termination phase: Property scanning
% 0.10/0.48
% 0.10/0.48 % (1191)Memory used [KB]: 3198
% 0.10/0.48 % (1191)Time elapsed: 0.025 s
% 0.10/0.48 % (1191)Instructions burned: 52 (million)
% 0.10/0.48 % (1191)------------------------------
% 0.10/0.48 % (1191)------------------------------
% 0.10/0.48 % (1201)Instruction limit reached!
% 0.10/0.48 % (1201)------------------------------
% 0.10/0.48 % (1201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1201)Termination reason: Unknown
% 0.10/0.48 % (1201)Termination phase: Saturation
% 0.10/0.48
% 0.10/0.48 % (1201)Memory used [KB]: 7931
% 0.10/0.48 % (1201)Time elapsed: 0.041 s
% 0.10/0.48 % (1201)Instructions burned: 99 (million)
% 0.10/0.48 % (1201)------------------------------
% 0.10/0.48 % (1201)------------------------------
% 0.10/0.48 % (1202)Instruction limit reached!
% 0.10/0.48 % (1202)------------------------------
% 0.10/0.48 % (1202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1197)Instruction limit reached!
% 0.10/0.48 % (1197)------------------------------
% 0.10/0.48 % (1197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1197)Termination reason: Unknown
% 0.10/0.48 % (1197)Termination phase: Property scanning
% 0.10/0.48
% 0.10/0.48 % (1197)Memory used [KB]: 3198
% 0.10/0.48 % (1197)Time elapsed: 0.025 s
% 0.10/0.48 % (1197)Instructions burned: 53 (million)
% 0.10/0.48 % (1197)------------------------------
% 0.10/0.48 % (1197)------------------------------
% 0.10/0.48 % (1202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1202)Termination reason: Unknown
% 0.10/0.48 % (1202)Termination phase: Function definition elimination
% 0.10/0.48
% 0.10/0.48 % (1202)Memory used [KB]: 3198
% 0.10/0.48 % (1202)Time elapsed: 0.040 s
% 0.10/0.48 % (1202)Instructions burned: 68 (million)
% 0.10/0.48 % (1202)------------------------------
% 0.10/0.48 % (1202)------------------------------
% 0.10/0.49 % (1198)Instruction limit reached!
% 0.10/0.49 % (1198)------------------------------
% 0.10/0.49 % (1198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (1203)Instruction limit reached!
% 0.10/0.50 % (1203)------------------------------
% 0.10/0.50 % (1203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (1205)Instruction limit reached!
% 0.10/0.50 % (1205)------------------------------
% 0.10/0.50 % (1205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (1205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (1205)Termination reason: Unknown
% 0.10/0.50 % (1205)Termination phase: Property scanning
% 0.10/0.50
% 0.10/0.50 % (1205)Memory used [KB]: 3198
% 0.10/0.50 % (1205)Time elapsed: 0.026 s
% 0.10/0.50 % (1205)Instructions burned: 60 (million)
% 0.10/0.50 % (1205)------------------------------
% 0.10/0.50 % (1205)------------------------------
% 0.10/0.50 % (1203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (1203)Termination reason: Unknown
% 0.10/0.50 % (1203)Termination phase: Property scanning
% 0.10/0.50
% 0.10/0.50 % (1203)Memory used [KB]: 3198
% 0.10/0.50 % (1203)Time elapsed: 0.061 s
% 0.10/0.50 % (1203)Instructions burned: 75 (million)
% 0.10/0.50 % (1203)------------------------------
% 0.10/0.50 % (1203)------------------------------
% 0.10/0.50 % (1198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (1198)Termination reason: Unknown
% 0.10/0.50 % (1198)Termination phase: Property scanning
% 0.10/0.50
% 0.10/0.50 % (1198)Memory used [KB]: 3198
% 0.10/0.50 % (1198)Time elapsed: 0.024 s
% 0.10/0.50 % (1198)Instructions burned: 52 (million)
% 0.10/0.50 % (1198)------------------------------
% 0.10/0.50 % (1198)------------------------------
% 0.10/0.52 % (1214)Instruction limit reached!
% 0.10/0.52 % (1214)------------------------------
% 0.10/0.52 % (1214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.53 % (1214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.53 % (1214)Termination reason: Unknown
% 1.81/0.53 % (1214)Termination phase: Equality resolution with deletion
% 1.81/0.53
% 1.81/0.53 % (1214)Memory used [KB]: 3198
% 1.81/0.53 % (1214)Time elapsed: 0.037 s
% 1.81/0.53 % (1214)Instructions burned: 69 (million)
% 1.81/0.53 % (1214)------------------------------
% 1.81/0.53 % (1214)------------------------------
% 1.81/0.53 % (1204)Instruction limit reached!
% 1.81/0.53 % (1204)------------------------------
% 1.81/0.53 % (1204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.54 % (1263)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.95/0.54 % (1204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.54 % (1204)Termination reason: Unknown
% 1.95/0.54 % (1204)Termination phase: Saturation
% 1.95/0.54
% 1.95/0.54 % (1204)Memory used [KB]: 7803
% 1.95/0.54 % (1204)Time elapsed: 0.044 s
% 1.95/0.54 % (1204)Instructions burned: 99 (million)
% 1.95/0.54 % (1204)------------------------------
% 1.95/0.54 % (1204)------------------------------
% 1.95/0.54 % (1188)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.95/0.54 % (1188)Terminated due to inappropriate strategy.
% 1.95/0.54 % (1188)------------------------------
% 1.95/0.54 % (1188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.54 % (1188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.54 % (1188)Termination reason: Inappropriate
% 1.95/0.54
% 1.95/0.54 % (1188)Memory used [KB]: 3326
% 1.95/0.54 % (1188)Time elapsed: 0.070 s
% 1.95/0.54 % (1188)Instructions burned: 107 (million)
% 1.95/0.54 % (1188)------------------------------
% 1.95/0.54 % (1188)------------------------------
% 1.95/0.55 % (1209)Instruction limit reached!
% 1.95/0.55 % (1209)------------------------------
% 1.95/0.55 % (1209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.56 % (1207)Instruction limit reached!
% 1.95/0.56 % (1207)------------------------------
% 1.95/0.56 % (1207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.56 % (1209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.56 % (1209)Termination reason: Unknown
% 1.95/0.56 % (1209)Termination phase: Saturation
% 1.95/0.56
% 1.95/0.56 % (1209)Memory used [KB]: 8315
% 1.95/0.56 % (1209)Time elapsed: 0.067 s
% 1.95/0.56 % (1209)Instructions burned: 138 (million)
% 1.95/0.56 % (1209)------------------------------
% 1.95/0.56 % (1209)------------------------------
% 1.95/0.57 % (1277)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 1.95/0.57 % (1207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.57 % (1207)Termination reason: Unknown
% 1.95/0.57 % (1207)Termination phase: Saturation
% 1.95/0.57
% 1.95/0.57 % (1207)Memory used [KB]: 3326
% 1.95/0.57 % (1207)Time elapsed: 0.042 s
% 1.95/0.57 % (1207)Instructions burned: 100 (million)
% 1.95/0.57 % (1207)------------------------------
% 1.95/0.57 % (1207)------------------------------
% 1.95/0.57 % (1206)Instruction limit reached!
% 1.95/0.57 % (1206)------------------------------
% 1.95/0.57 % (1206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.57 % (1199)Instruction limit reached!
% 1.95/0.57 % (1199)------------------------------
% 1.95/0.57 % (1199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.57 % (1199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.57 % (1199)Termination reason: Unknown
% 1.95/0.57 % (1199)Termination phase: Saturation
% 1.95/0.57
% 1.95/0.57 % (1199)Memory used [KB]: 7803
% 1.95/0.57 % (1199)Time elapsed: 0.044 s
% 1.95/0.57 % (1199)Instructions burned: 101 (million)
% 1.95/0.57 % (1199)------------------------------
% 1.95/0.57 % (1199)------------------------------
% 1.95/0.58 % (1200)Instruction limit reached!
% 1.95/0.58 % (1200)------------------------------
% 1.95/0.58 % (1200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.58 % (1200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.58 % (1200)Termination reason: Unknown
% 1.95/0.58 % (1200)Termination phase: Saturation
% 1.95/0.58
% 1.95/0.58 % (1200)Memory used [KB]: 8059
% 1.95/0.58 % (1200)Time elapsed: 0.044 s
% 1.95/0.58 % (1200)Instructions burned: 101 (million)
% 1.95/0.58 % (1200)------------------------------
% 1.95/0.58 % (1200)------------------------------
% 1.95/0.58 % (1281)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 1.95/0.59 % (1274)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.95/0.59 % (1206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59 % (1206)Termination reason: Unknown
% 1.95/0.59 % (1206)Termination phase: Saturation
% 1.95/0.59
% 1.95/0.59 % (1206)Memory used [KB]: 8059
% 1.95/0.59 % (1206)Time elapsed: 0.044 s
% 1.95/0.59 % (1206)Instructions burned: 100 (million)
% 1.95/0.59 % (1206)------------------------------
% 1.95/0.59 % (1206)------------------------------
% 1.95/0.59 % (1291)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 1.95/0.59 % (1301)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 1.95/0.60 % (1294)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 1.95/0.60 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 1.95/0.61 % (1305)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 1.95/0.61 % (1282)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/934Mi)
% 1.95/0.61 % (1304)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.53/0.63 % (1317)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.53/0.63 % (1318)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.53/0.64 % (1320)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.53/0.64 % (1325)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.53/0.65 % (1339)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.53/0.66 % (1352)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4756Mi)
% 2.53/0.67 % (1211)First to succeed.
% 2.53/0.67 % (1211)Refutation found. Thanks to Tanya!
% 2.53/0.67 % SZS status Theorem for theBenchmark
% 2.53/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.67 % (1211)------------------------------
% 2.53/0.67 % (1211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.67 % (1211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.67 % (1211)Termination reason: Refutation
% 2.53/0.67
% 2.53/0.67 % (1211)Memory used [KB]: 8443
% 2.53/0.67 % (1211)Time elapsed: 0.329 s
% 2.53/0.67 % (1211)Instructions burned: 161 (million)
% 2.53/0.67 % (1211)------------------------------
% 2.53/0.67 % (1211)------------------------------
% 2.53/0.67 % (1183)Success in time 0.394 s
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