%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP340_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:24 AM UTC 2026
% Result : Theorem 3.15s 0.90s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 10 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 19 ( 19 atm; 0 fun; 0 num; 0 var)
% Number of types : 50 ( 47 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 47 ( 43 usr; 1 prp; 0-4 aty)
% Number of functors : 382 ( 382 usr; 20 con; 0-4 aty)
% Number of variables : 20 ( 17 !; 3 ?; 20 :)
% 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,
sK0: $int > $int ).
tff(func_def_110,type,
sK1: $real > $real ).
tff(func_def_111,type,
sK2: $int > $int ).
tff(func_def_112,type,
sK3: $real > $real ).
tff(func_def_113,type,
sK6: ( $real * $real ) > $real ).
tff(func_def_114,type,
sK7: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_115,type,
sK8: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_116,type,
sK22: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_117,type,
sK23: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_118,type,
sK24: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_119,type,
sK25: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_120,type,
sK26: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_121,type,
sK27: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_122,type,
sK28: ( 'Real_bool_fun$' * 'Real_bool_fun$' ) > $real ).
tff(func_def_123,type,
sK29: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_124,type,
sK30: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_125,type,
sK31: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_126,type,
sK32: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_127,type,
sK33: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_128,type,
sK34: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_129,type,
sK35: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_130,type,
sK36: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_131,type,
sK37: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_132,type,
sK38: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_133,type,
sK39: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_134,type,
sK40: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_135,type,
sK41: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_136,type,
sK42: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_137,type,
sK43: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_138,type,
sK44: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_139,type,
sK45: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_140,type,
sK46: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_141,type,
sK47: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_142,type,
sK48: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_143,type,
sK55: 'Int_int_fun$' > $int ).
tff(func_def_144,type,
sK56: 'Int_int_fun$' > $int ).
tff(func_def_145,type,
sK57: 'Int_real_fun$' > $int ).
tff(func_def_146,type,
sK58: 'Int_real_fun$' > $int ).
tff(func_def_147,type,
sK59: 'Real_int_fun$' > $real ).
tff(func_def_148,type,
sK60: 'Real_int_fun$' > $real ).
tff(func_def_149,type,
sK61: 'Real_real_fun$' > $real ).
tff(func_def_150,type,
sK62: 'Real_real_fun$' > $real ).
tff(func_def_151,type,
sK63: 'Int_cols_fun$' > $int ).
tff(func_def_152,type,
sK64: 'Int_cols_fun$' > $int ).
tff(func_def_153,type,
sK65: 'Real_cols_fun$' > $real ).
tff(func_def_154,type,
sK66: 'Real_cols_fun$' > $real ).
tff(func_def_155,type,
sK67: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_156,type,
sK68: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_157,type,
sK69: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_158,type,
sK70: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_159,type,
sK71: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_160,type,
sK72: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_161,type,
sK73: 'Int_cols_set_fun$' > $int ).
tff(func_def_162,type,
sK74: 'Int_cols_set_fun$' > $int ).
tff(func_def_163,type,
sK75: 'Int_int_fun$' > $int ).
tff(func_def_164,type,
sK76: 'Int_int_fun$' > $int ).
tff(func_def_165,type,
sK77: 'Int_real_fun$' > $int ).
tff(func_def_166,type,
sK78: 'Int_real_fun$' > $int ).
tff(func_def_167,type,
sK79: 'Real_int_fun$' > $real ).
tff(func_def_168,type,
sK80: 'Real_int_fun$' > $real ).
tff(func_def_169,type,
sK81: 'Real_real_fun$' > $real ).
tff(func_def_170,type,
sK82: 'Real_real_fun$' > $real ).
tff(func_def_171,type,
sK83: 'Int_cols_fun$' > $int ).
tff(func_def_172,type,
sK84: 'Int_cols_fun$' > $int ).
tff(func_def_173,type,
sK85: 'Real_cols_fun$' > $real ).
tff(func_def_174,type,
sK86: 'Real_cols_fun$' > $real ).
tff(func_def_175,type,
sK87: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_176,type,
sK88: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_177,type,
sK89: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_178,type,
sK90: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_179,type,
sK91: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_180,type,
sK92: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_181,type,
sK93: 'Int_cols_set_fun$' > $int ).
tff(func_def_182,type,
sK94: 'Int_cols_set_fun$' > $int ).
tff(func_def_183,type,
sK95: 'Int_int_fun$' > $int ).
tff(func_def_184,type,
sK96: 'Int_int_fun$' > $int ).
tff(func_def_185,type,
sK97: 'Real_int_fun$' > $real ).
tff(func_def_186,type,
sK98: 'Real_int_fun$' > $real ).
tff(func_def_187,type,
sK99: 'Int_real_fun$' > $int ).
tff(func_def_188,type,
sK100: 'Int_real_fun$' > $int ).
tff(func_def_189,type,
sK101: 'Real_real_fun$' > $real ).
tff(func_def_190,type,
sK102: 'Real_real_fun$' > $real ).
tff(func_def_191,type,
sK103: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_192,type,
sK104: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_193,type,
sK105: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_194,type,
sK106: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_195,type,
sK107: 'Int_cols_fun$' > $int ).
tff(func_def_196,type,
sK108: 'Int_cols_fun$' > $int ).
tff(func_def_197,type,
sK109: 'Real_cols_fun$' > $real ).
tff(func_def_198,type,
sK110: 'Real_cols_fun$' > $real ).
tff(func_def_199,type,
sK111: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_200,type,
sK112: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_201,type,
sK113: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_202,type,
sK114: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_203,type,
sK115: 'Int_int_fun$' > $int ).
tff(func_def_204,type,
sK116: 'Int_int_fun$' > $int ).
tff(func_def_205,type,
sK117: 'Int_real_fun$' > $int ).
tff(func_def_206,type,
sK118: 'Int_real_fun$' > $int ).
tff(func_def_207,type,
sK119: 'Real_int_fun$' > $real ).
tff(func_def_208,type,
sK120: 'Real_int_fun$' > $real ).
tff(func_def_209,type,
sK121: 'Real_real_fun$' > $real ).
tff(func_def_210,type,
sK122: 'Real_real_fun$' > $real ).
tff(func_def_211,type,
sK123: 'Int_cols_fun$' > $int ).
tff(func_def_212,type,
sK124: 'Int_cols_fun$' > $int ).
tff(func_def_213,type,
sK125: 'Real_cols_fun$' > $real ).
tff(func_def_214,type,
sK126: 'Real_cols_fun$' > $real ).
tff(func_def_215,type,
sK127: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_216,type,
sK128: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_217,type,
sK129: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_218,type,
sK130: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_219,type,
sK131: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_220,type,
sK132: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_221,type,
sK133: 'Int_cols_set_fun$' > $int ).
tff(func_def_222,type,
sK134: 'Int_cols_set_fun$' > $int ).
tff(func_def_223,type,
sK140: 'Int_int_fun$' > $int ).
tff(func_def_224,type,
sK141: 'Int_int_fun$' > $int ).
tff(func_def_225,type,
sK142: 'Real_int_fun$' > $real ).
tff(func_def_226,type,
sK143: 'Real_int_fun$' > $real ).
tff(func_def_227,type,
sK144: 'Int_real_fun$' > $int ).
tff(func_def_228,type,
sK145: 'Int_real_fun$' > $int ).
tff(func_def_229,type,
sK146: 'Real_real_fun$' > $real ).
tff(func_def_230,type,
sK147: 'Real_real_fun$' > $real ).
tff(func_def_231,type,
sK148: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_232,type,
sK149: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_233,type,
sK150: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_234,type,
sK151: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_235,type,
sK152: 'Int_cols_fun$' > $int ).
tff(func_def_236,type,
sK153: 'Int_cols_fun$' > $int ).
tff(func_def_237,type,
sK154: 'Real_cols_fun$' > $real ).
tff(func_def_238,type,
sK155: 'Real_cols_fun$' > $real ).
tff(func_def_239,type,
sK156: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_240,type,
sK157: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_241,type,
sK158: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_242,type,
sK159: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_243,type,
sK160: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_244,type,
sK161: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_245,type,
sK162: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_246,type,
sK163: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_247,type,
sK164: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_248,type,
sK165: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_249,type,
sK166: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_250,type,
sK167: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_251,type,
sK168: 'Int_int_fun$' > $int ).
tff(func_def_252,type,
sK169: 'Int_int_fun$' > $int ).
tff(func_def_253,type,
sK170: 'Int_real_fun$' > $int ).
tff(func_def_254,type,
sK171: 'Int_real_fun$' > $int ).
tff(func_def_255,type,
sK172: 'Real_int_fun$' > $real ).
tff(func_def_256,type,
sK173: 'Real_int_fun$' > $real ).
tff(func_def_257,type,
sK174: 'Real_real_fun$' > $real ).
tff(func_def_258,type,
sK175: 'Real_real_fun$' > $real ).
tff(func_def_259,type,
sK176: 'Int_int_fun$' > $int ).
tff(func_def_260,type,
sK177: 'Int_int_fun$' > $int ).
tff(func_def_261,type,
sK178: 'Int_real_fun$' > $int ).
tff(func_def_262,type,
sK179: 'Int_real_fun$' > $int ).
tff(func_def_263,type,
sK180: 'Real_int_fun$' > $real ).
tff(func_def_264,type,
sK181: 'Real_int_fun$' > $real ).
tff(func_def_265,type,
sK182: 'Real_real_fun$' > $real ).
tff(func_def_266,type,
sK183: 'Real_real_fun$' > $real ).
tff(func_def_267,type,
sK184: 'Int_int_fun$' > $int ).
tff(func_def_268,type,
sK185: 'Int_int_fun$' > $int ).
tff(func_def_269,type,
sK186: 'Real_int_fun$' > $real ).
tff(func_def_270,type,
sK187: 'Real_int_fun$' > $real ).
tff(func_def_271,type,
sK188: 'Int_real_fun$' > $int ).
tff(func_def_272,type,
sK189: 'Int_real_fun$' > $int ).
tff(func_def_273,type,
sK190: 'Real_real_fun$' > $real ).
tff(func_def_274,type,
sK191: 'Real_real_fun$' > $real ).
tff(func_def_275,type,
sK192: ( $real * $real * $real ) > $real ).
tff(func_def_276,type,
sK193: ( $real * $real * $real ) > $real ).
tff(func_def_277,type,
sK194: ( $real * $real ) > $real ).
tff(func_def_278,type,
sK195: ( $real * $real ) > $real ).
tff(func_def_279,type,
sK200: 'Int_int_fun$' > $int ).
tff(func_def_280,type,
sK201: 'Int_int_fun$' > $int ).
tff(func_def_281,type,
sK202: 'Int_real_fun$' > $int ).
tff(func_def_282,type,
sK203: 'Int_real_fun$' > $int ).
tff(func_def_283,type,
sK204: 'Real_int_fun$' > $real ).
tff(func_def_284,type,
sK205: 'Real_int_fun$' > $real ).
tff(func_def_285,type,
sK206: 'Real_real_fun$' > $real ).
tff(func_def_286,type,
sK207: 'Real_real_fun$' > $real ).
tff(func_def_287,type,
sK208: 'Int_int_fun$' > $int ).
tff(func_def_288,type,
sK209: 'Int_int_fun$' > $int ).
tff(func_def_289,type,
sK210: 'Int_real_fun$' > $int ).
tff(func_def_290,type,
sK211: 'Int_real_fun$' > $int ).
tff(func_def_291,type,
sK212: 'Real_int_fun$' > $real ).
tff(func_def_292,type,
sK213: 'Real_int_fun$' > $real ).
tff(func_def_293,type,
sK214: 'Real_real_fun$' > $real ).
tff(func_def_294,type,
sK215: 'Real_real_fun$' > $real ).
tff(func_def_295,type,
sK216: 'Int_int_fun$' > $int ).
tff(func_def_296,type,
sK217: 'Int_int_fun$' > $int ).
tff(func_def_297,type,
sK218: 'Int_real_fun$' > $int ).
tff(func_def_298,type,
sK219: 'Int_real_fun$' > $int ).
tff(func_def_299,type,
sK220: 'Real_int_fun$' > $real ).
tff(func_def_300,type,
sK221: 'Real_int_fun$' > $real ).
tff(func_def_301,type,
sK222: 'Real_real_fun$' > $real ).
tff(func_def_302,type,
sK223: 'Real_real_fun$' > $real ).
tff(func_def_303,type,
sK224: 'Int_int_fun$' > $int ).
tff(func_def_304,type,
sK225: 'Int_int_fun$' > $int ).
tff(func_def_305,type,
sK226: 'Real_int_fun$' > $real ).
tff(func_def_306,type,
sK227: 'Real_int_fun$' > $real ).
tff(func_def_307,type,
sK228: 'Int_real_fun$' > $int ).
tff(func_def_308,type,
sK229: 'Int_real_fun$' > $int ).
tff(func_def_309,type,
sK230: 'Real_real_fun$' > $real ).
tff(func_def_310,type,
sK231: 'Real_real_fun$' > $real ).
tff(func_def_311,type,
sK232: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_312,type,
sK233: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_313,type,
sK234: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_314,type,
sK235: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_315,type,
sK236: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_316,type,
sK237: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_317,type,
sK238: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_318,type,
sK239: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_319,type,
sK254: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_320,type,
sK255: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_321,type,
sK257: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_322,type,
sK258: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_323,type,
sK261: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_324,type,
sK262: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_325,type,
sK263: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_326,type,
sK264: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_327,type,
sK265: ( 'Nat$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_328,type,
sK266: ( 'Nat$' * 'Nat_real_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_329,type,
sK268: 'Real_set$' > $real ).
tff(func_def_330,type,
sK269: ( 'Real_set$' * $real ) > $real ).
tff(func_def_331,type,
sK270: ( 'Real_set$' * $real ) > $real ).
tff(func_def_332,type,
sK275: $real > $real ).
tff(func_def_333,type,
sK276: $real > $real ).
tff(func_def_334,type,
sK277: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_335,type,
sK278: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_336,type,
sK279: ( 'Nat$' * 'Cols_set$' ) > 'Cols_set$' ).
tff(func_def_337,type,
sK280: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_338,type,
sK281: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_339,type,
sK282: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_340,type,
sK283: ( $real * $real ) > $real ).
tff(func_def_341,type,
sK284: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_342,type,
sK287: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_343,type,
sK288: ( 'A_cols_vec_rows_vec$' * 'Nat_a_iarray_fun$' ) > 'Rows$' ).
tff(func_def_344,type,
sK289: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_345,type,
sK290: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_346,type,
sK292: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_347,type,
sK293: 'Nat$' > 'Nat$' ).
tff(func_def_348,type,
sK294: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_349,type,
sK296: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_350,type,
sK297: 'Nat$' > 'Nat$' ).
tff(func_def_351,type,
sK298: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_352,type,
sK299: 'Nat$' > 'Nat$' ).
tff(func_def_353,type,
sK300: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_354,type,
sK301: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_355,type,
sK302: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_356,type,
sK303: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_357,type,
sK304: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_358,type,
sK305: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_359,type,
sK306: 'Nat$' > 'Nat$' ).
tff(func_def_360,type,
sK308: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_361,type,
sK309: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_362,type,
sK310: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_363,type,
sK311: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_364,type,
sK312: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_365,type,
sK313: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_366,type,
sK314: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_367,type,
sK316: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_368,type,
sK319: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_369,type,
sK321: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_370,type,
sK322: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_371,type,
sK324: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_372,type,
sK325: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_373,type,
sK326: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_374,type,
sK327: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_375,type,
sK328: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_376,type,
sK329: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_377,type,
sK330: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_378,type,
sK331: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_379,type,
sK333: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_380,type,
sK334: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_381,type,
sK335: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_382,type,
sK336: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_383,type,
sK339: 'Nat$' > 'Nat$' ).
tff(func_def_384,type,
sK340: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_385,type,
sK341: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_386,type,
sK342: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_387,type,
sK343: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_388,type,
sK344: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_389,type,
sK345: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_390,type,
sK346: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_391,type,
sK347: ( 'Nat_bool_fun$' * 'Nat$' ) > '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 ) > $o ).
tff(pred_def_27,type,
sP10: ( 'Cols$' * 'Cols$' ) > $o ).
tff(pred_def_30,type,
sP13: ( $int * $int ) > $o ).
tff(pred_def_33,type,
sP16: ( $real * $real ) > $o ).
tff(pred_def_36,type,
sP19: ( 'Cols$' * 'Cols$' ) > $o ).
tff(pred_def_54,type,
sP240: ( $int * $int * $int ) > $o ).
tff(pred_def_55,type,
sP241: ( $int * $int * $int ) > $o ).
tff(pred_def_56,type,
sP242: ( $int * $int * $int ) > $o ).
tff(pred_def_57,type,
sP243: ( $int * $int * $int ) > $o ).
tff(pred_def_58,type,
sP244: ( $int * $int * $int ) > $o ).
tff(pred_def_61,type,
sP247: ( $real * $real * $real ) > $o ).
tff(pred_def_62,type,
sP248: ( $real * $real * $real ) > $o ).
tff(pred_def_63,type,
sP249: ( $real * $real * $real ) > $o ).
tff(pred_def_64,type,
sP250: ( $real * $real * $real ) > $o ).
tff(pred_def_65,type,
sP251: ( $real * $real * $real ) > $o ).
tff(pred_def_68,type,
sP256: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_71,type,
sP267: ( 'Nat$' * 'Nat_real_fun$' * 'Nat_real_fun$' * 'Nat$' ) > $o ).
tff(pred_def_78,type,
sP291: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_79,type,
sP295: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_84,type,
sP320: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_85,type,
sP323: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_86,type,
sP332: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_89,type,
sP348: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_90,type,
sP349: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_91,type,
sP350: ( 'Nat$' * 'Nat$' ) > $o ).
tff(f6,conjecture,
? [X0: 'Cols$'] :
( ( '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(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,[status(cth)],[f6]) ).
tff(f10,axiom,
$lesseq('fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$'))),'fun_app$d'('of_nat$','i$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(f380,axiom,
! [X0: 'A_cols_vec_rows_vec$'] : ( '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(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(f449,axiom,
! [X0: 'Nat$',X1: 'Cols$'] :
( ( ( 'fun_app$d'('of_nat$',X0) != 'fun_app$d'('of_nat$','to_nat$'(X1)) )
& $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$'))) )
=> ( 'from_nat$'(X0) != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom447) ).
tff(f601,axiom,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','row_rank$'(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom599) ).
tff(f623,plain,
~ ? [X0: 'Cols$'] :
( ( '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(f624,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
inference(theory_normalization,[],[f10]) ).
tff(f904,plain,
! [X0: 'Cols$'] :
( ( '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(ennf_transformation,[],[f623]) ).
tff(f1409,plain,
! [X0: 'Nat$',X1: 'Cols$'] :
( ( 'from_nat$'(X0) != X1 )
| ( 'fun_app$d'('of_nat$','to_nat$'(X1)) = 'fun_app$d'('of_nat$',X0) )
| ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$'))) ),
inference(ennf_transformation,[],[f449]) ).
tff(f1410,plain,
! [X0: 'Nat$',X1: 'Cols$'] :
( ( 'from_nat$'(X0) != X1 )
| ( 'fun_app$d'('of_nat$','to_nat$'(X1)) = 'fun_app$d'('of_nat$',X0) )
| ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$'))) ),
inference(flattening,[],[f1409]) ).
tff(f1537,plain,
! [X0: 'Cols$'] :
( $less('fun_app$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(cnf_transformation,[],[f904]) ).
tff(f1540,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
inference(cnf_transformation,[],[f624]) ).
tff(f2184,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) ),
inference(cnf_transformation,[],[f380]) ).
tff(f2278,plain,
$less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))),
inference(cnf_transformation,[],[f433]) ).
tff(f2296,plain,
! [X0: 'Nat$',X1: 'Cols$'] :
( ~ $less('fun_app$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$'(X0) != X1 ) ),
inference(cnf_transformation,[],[f1410]) ).
tff(f2561,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','row_rank$'(X0)) ),
inference(cnf_transformation,[],[f601]) ).
tff(f2798,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$'(X0))) ) ),
inference(equality_resolution,[],[f2296]) ).
tff(f3221,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) = 'fun_app$d'('of_nat$','row_rank$'(X0)) ),
inference(forward_demodulation,[],[f2184,f2561]) ).
tff(f3311,plain,
! [X0: 'Cols$'] :
( ( '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$d'('of_nat$','row_rank$'('a$'))) ),
inference(forward_demodulation,[],[f1537,f2561]) ).
tff(f4103,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','row_rank$'('a$'))),
inference(forward_demodulation,[],[f1540,f3221]) ).
tff(f4132,plain,
$less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),'fun_app$d'('of_nat$','row_rank$'('a$'))),
inference(equality_resolution,[],[f3311]) ).
tff(f4503,plain,
'fun_app$d'('of_nat$','i$') = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),
inference(resolution,[],[f2798,f2278]) ).
tff(f6337,plain,
$less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','row_rank$'('a$'))),
inference(superposition,[],[f4132,f4503]) ).
tff(f6376,plain,
$false,
inference(forward_subsumption_resolution,[],[f6337,f4103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP340_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 12:55:15 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.51/0.90 % (2374479)Will run a generic schedule for satisfiability detection.
% 1.51/0.90 % (2374488)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3353760303:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.51/0.90 % (2374485)% WARNING: option uhcvi not known.
% 1.51/0.90 % (2374487)dis+10_1_sil=32000:sp=arity:random_seed=517971941:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.51/0.90 % (2374484)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2129824476_2999 on theBenchmark for (2999ds/0Mi)
% 1.51/0.90 % (2374486)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=385447472:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.51/0.90 % (2374485)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3242251952:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.51/0.90 % (2374489)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1343900901:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.51/0.90 % (2374490)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=637758047:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.51/0.90 % (2374488)Instruction limit reached!
% 1.51/0.90 % (2374488)------------------------------
% 1.51/0.90 % (2374488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374488)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374488)Termination reason: Instruction limit
% 1.51/0.90 % (2374488)Termination phase: Saturation
% 1.51/0.90 % (2374488)Time elapsed: 0.034 s
% 1.51/0.90 % (2374488)Peak memory usage: 14 MB
% 1.51/0.90 % (2374488)Instructions burned: 118 (million)
% 1.51/0.90 % (2374484)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.51/0.90 % (2374484)Terminated due to inappropriate strategy.
% 1.51/0.90 % (2374484)------------------------------
% 1.51/0.90 % (2374484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374484)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374484)Termination reason: Inappropriate
% 1.51/0.90 % (2374484)Time elapsed: 0.033 s
% 1.51/0.90 % (2374484)Peak memory usage: 13 MB
% 1.51/0.90 % (2374484)Instructions burned: 70 (million)
% 1.51/0.90 % (2374484)------------------------------
% 1.51/0.90 % (2374484)------------------------------
% 1.51/0.90 % (2374503)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3468473708:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.51/0.90 % (2374503)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.51/0.90 % (2374503)Terminated due to inappropriate strategy.
% 1.51/0.90 % (2374503)------------------------------
% 1.51/0.90 % (2374503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374503)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374503)Termination reason: Inappropriate
% 1.51/0.90 % (2374503)Time elapsed: 0.016 s
% 1.51/0.90 % (2374503)Peak memory usage: 12 MB
% 1.51/0.90 % (2374503)Instructions burned: 63 (million)
% 1.51/0.90 % (2374487)Instruction limit reached!
% 1.51/0.90 % (2374487)------------------------------
% 1.51/0.90 % (2374487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374487)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374487)Termination reason: Instruction limit
% 1.51/0.90 % (2374487)Termination phase: Saturation
% 1.51/0.90 % (2374487)Time elapsed: 0.056 s
% 1.51/0.90 % (2374487)Peak memory usage: 14 MB
% 1.51/0.90 % (2374487)Instructions burned: 107 (million)
% 1.51/0.90 % (2374503)------------------------------
% 1.51/0.90 % (2374503)------------------------------
% 1.51/0.90 % (2374507)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3803500683:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.51/0.90 % (2374516)ott-21_1_sil=16000:fs=off:random_seed=4034975096:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.51/0.90 % (2374489)Instruction limit reached!
% 1.51/0.90 % (2374489)------------------------------
% 1.51/0.90 % (2374489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374489)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374489)Termination reason: Instruction limit
% 1.51/0.90 % (2374489)Termination phase: Saturation
% 1.51/0.90 % (2374489)Time elapsed: 0.068 s
% 1.51/0.90 % (2374489)Peak memory usage: 14 MB
% 1.51/0.90 % (2374489)Instructions burned: 131 (million)
% 1.51/0.90 % (2374515)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1007035178:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.51/0.90 % (2374522)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2080942881:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.51/0.90 % (2374490)Instruction limit reached!
% 1.51/0.90 % (2374490)------------------------------
% 1.51/0.90 % (2374490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374490)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374490)Termination reason: Instruction limit
% 1.51/0.90 % (2374490)Termination phase: Saturation
% 1.51/0.90 % (2374490)Time elapsed: 0.098 s
% 1.51/0.90 % (2374490)Peak memory usage: 15 MB
% 1.51/0.90 % (2374490)Instructions burned: 160 (million)
% 1.51/0.90 % (2374516)Instruction limit reached!
% 1.51/0.90 % (2374516)------------------------------
% 1.51/0.90 % (2374516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374516)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374516)Termination reason: Instruction limit
% 1.51/0.90 % (2374516)Termination phase: Saturation
% 1.51/0.90 % (2374516)Time elapsed: 0.043 s
% 1.51/0.90 % (2374516)Peak memory usage: 14 MB
% 1.51/0.90 % (2374516)Instructions burned: 181 (million)
% 1.51/0.90 % (2374535)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=145647761:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.51/0.90 % (2374540)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3258258361:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.51/0.90 % (2374507)Instruction limit reached!
% 1.51/0.90 % (2374507)------------------------------
% 1.51/0.90 % (2374507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374507)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374507)Termination reason: Instruction limit
% 1.51/0.90 % (2374507)Termination phase: Saturation
% 1.51/0.90 % (2374507)Time elapsed: 0.069 s
% 1.51/0.90 % (2374507)Peak memory usage: 14 MB
% 1.51/0.90 % (2374507)Instructions burned: 132 (million)
% 1.51/0.90 % (2374535)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.51/0.90 % (2374535)Terminated due to inappropriate strategy.
% 1.51/0.90 % (2374535)------------------------------
% 1.51/0.90 % (2374535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.90 % (2374535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.90 % (2374535)CaDiCaL version: 2.1.3
% 1.51/0.90 % (2374535)Termination reason: Inappropriate
% 1.51/0.90 % (2374535)Time elapsed: 0.029 s
% 1.51/0.90 % (2374535)Peak memory usage: 12 MB
% 1.51/0.90 % (2374535)Instructions burned: 63 (million)
% 3.15/0.90 % (2374535)------------------------------
% 3.15/0.90 % (2374535)------------------------------
% 3.15/0.90 % (2374553)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1255802352:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 3.15/0.90 % (2374562)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2314545434:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 3.15/0.90 % (2374553)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.15/0.90 % (2374553)Terminated due to inappropriate strategy.
% 3.15/0.90 % (2374553)------------------------------
% 3.15/0.90 % (2374553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.90 % (2374553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.90 % (2374553)CaDiCaL version: 2.1.3
% 3.15/0.90 % (2374553)Termination reason: Inappropriate
% 3.15/0.90 % (2374553)Time elapsed: 0.032 s
% 3.15/0.90 % (2374553)Peak memory usage: 12 MB
% 3.15/0.90 % (2374553)Instructions burned: 64 (million)
% 3.15/0.90 % (2374553)------------------------------
% 3.15/0.90 % (2374553)------------------------------
% 3.15/0.90 % (2374582)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3831403085:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 3.15/0.90 % (2374522)Instruction limit reached!
% 3.15/0.90 % (2374522)------------------------------
% 3.15/0.90 % (2374522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.90 % (2374522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.90 % (2374522)CaDiCaL version: 2.1.3
% 3.15/0.90 % (2374522)Termination reason: Instruction limit
% 3.15/0.90 % (2374522)Termination phase: Saturation
% 3.15/0.90 % (2374522)Time elapsed: 0.297 s
% 3.15/0.90 % (2374522)Peak memory usage: 15 MB
% 3.15/0.90 % (2374522)Instructions burned: 477 (million)
% 3.15/0.90 % (2374562) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2374479-2374562"...
% 3.15/0.90 % (2374562)...printing done.
% 3.15/0.90 % (2374562)Refutation found. Thanks to Tanya!
% 3.15/0.90 % SZS status Theorem for theBenchmark
% 3.15/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.15/0.90 % (2374562)------------------------------
% 3.15/0.90 % (2374562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.90 % (2374562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.90 % (2374562)CaDiCaL version: 2.1.3
% 3.15/0.90 % (2374562)Termination reason: Refutation
% 3.15/0.90 % (2374562)Time elapsed: 0.224 s
% 3.15/0.90 % (2374562)Peak memory usage: 16 MB
% 3.15/0.90 % (2374562)Instructions burned: 357 (million)
% 3.15/0.90 % (2374479)Success in time 0.459 s
% 3.15/0.90 % Vampire exiting
%------------------------------------------------------------------------------