%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n013.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 11:33:39 AM UTC 2026
% Result : Theorem 16.88s 3.33s
% Output : Refutation 17.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 typ; 4 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 12 |; 3 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 23 ( 23 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 : 36 ( 32 usr; 5 prp; 0-3 aty)
% Number of functors : 386 ( 386 usr; 24 con; 0-4 aty)
% Number of variables : 10 ( 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Real_real_bool_fun_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'Bool_int_fun$': $tType ).
tff(type_def_8,type,
'Cols_set_bool_fun$': $tType ).
tff(type_def_9,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_10,type,
'Real_set_bool_int_fun_fun$': $tType ).
tff(type_def_11,type,
'Nat_a_iarray_fun$': $tType ).
tff(type_def_12,type,
'Bool_real_fun$': $tType ).
tff(type_def_13,type,
'Rows$': $tType ).
tff(type_def_14,type,
'A_iarray_iarray$': $tType ).
tff(type_def_15,type,
'Int_real_fun$': $tType ).
tff(type_def_16,type,
'Cols_cols_fun$': $tType ).
tff(type_def_17,type,
'Real_set_real_set_fun$': $tType ).
tff(type_def_18,type,
'Rows_set$': $tType ).
tff(type_def_19,type,
'Int_int_fun$': $tType ).
tff(type_def_20,type,
'A_rows_vec_cols_vec$': $tType ).
tff(type_def_21,type,
'Cols_set_int_fun$': $tType ).
tff(type_def_22,type,
'Nat_nat_fun$': $tType ).
tff(type_def_23,type,
'Nat$': $tType ).
tff(type_def_24,type,
'Cols_bool_fun$': $tType ).
tff(type_def_25,type,
'A_rows_vec$': $tType ).
tff(type_def_26,type,
'Cols_cols_bool_fun_fun$': $tType ).
tff(type_def_27,type,
tlbool: $tType ).
tff(type_def_28,type,
'Real_set_cols_set_fun$': $tType ).
tff(type_def_29,type,
'Real_set_bool_real_fun_fun$': $tType ).
tff(type_def_30,type,
'Int_cols_set_fun$': $tType ).
tff(type_def_31,type,
'Real_cols_fun$': $tType ).
tff(type_def_32,type,
'A_cols_vec_rows_vec$': $tType ).
tff(type_def_33,type,
'Real_real_fun$': $tType ).
tff(type_def_34,type,
'Cols_int_fun$': $tType ).
tff(type_def_35,type,
'Nat_real_fun$': $tType ).
tff(type_def_36,type,
'Int_cols_fun$': $tType ).
tff(type_def_37,type,
'Real_int_fun$': $tType ).
tff(type_def_38,type,
'A_cols_vec$': $tType ).
tff(type_def_39,type,
'A$': $tType ).
tff(type_def_40,type,
'Cols_real_fun$': $tType ).
tff(type_def_41,type,
'Cols_set$': $tType ).
tff(type_def_42,type,
'Cols$': $tType ).
tff(type_def_43,type,
'A_cols_vec_cols_vec$': $tType ).
tff(type_def_44,type,
'A_iarray_set$': $tType ).
tff(type_def_45,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_46,type,
'A_iarray$': $tType ).
tff(type_def_47,type,
'Nat_bool_fun$': $tType ).
tff(type_def_48,type,
'Real_bool_fun$': $tType ).
tff(type_def_49,type,
'Real_set$': $tType ).
tff(type_def_50,type,
'Nat_int_fun$': $tType ).
tff(type_def_51,type,
'Cols_set_cols_set_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'fun_app$y': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_1,type,
'uua$': 'Int_int_bool_fun_fun$' ).
tff(func_def_2,type,
'fun_app$w': ( 'Real_set_real_set_fun$' * 'Real_set$' ) > 'Real_set$' ).
tff(func_def_3,type,
'length$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_4,type,
'length$a': 'A_iarray$' > 'Nat$' ).
tff(func_def_5,type,
'gauss_Jordan_upt_k$': ( 'A_cols_vec_rows_vec$' * 'Nat$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_6,type,
'col_rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_7,type,
'transpose$': 'A_cols_vec_rows_vec$' > 'A_rows_vec_cols_vec$' ).
tff(func_def_8,type,
'top$a': 'Rows_set$' ).
tff(func_def_9,type,
'less_eq$d': 'Cols_set_cols_set_bool_fun_fun$' ).
tff(func_def_10,type,
'fun_app$n': ( 'Real_cols_fun$' * $real ) > 'Cols$' ).
tff(func_def_11,type,
'fun_app$p': ( 'Cols_real_fun$' * 'Cols$' ) > $real ).
tff(func_def_12,type,
'rank_iarray$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_13,type,
'gauss_Jordan$': 'A_cols_vec_rows_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_14,type,
'fun_app$ad': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_15,type,
'rank$a': 'A_cols_vec_cols_vec$' > 'Nat$' ).
tff(func_def_16,type,
'top$': 'Cols_set$' ).
tff(func_def_17,type,
'row$b': ( 'Cols$' * 'A_rows_vec_cols_vec$' ) > 'A_rows_vec$' ).
tff(func_def_18,type,
'from_nat$': 'Nat$' > 'Cols$' ).
tff(func_def_19,type,
'card$a': 'Rows_set$' > 'Nat$' ).
tff(func_def_20,type,
'transpose$a': 'A_rows_vec_cols_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_21,type,
'fun_app$h': ( 'Cols_set_cols_set_bool_fun_fun$' * 'Cols_set$' ) > 'Cols_set_bool_fun$' ).
tff(func_def_22,type,
'row_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).
tff(func_def_23,type,
'one$': 'Cols$' ).
tff(func_def_24,type,
'transpose_iarray$': 'A_iarray_iarray$' > 'A_iarray_iarray$' ).
tff(func_def_25,type,
'uuc$': 'Int_int_bool_fun_fun$' ).
tff(func_def_26,type,
'iarray_to_matrix$': 'A_iarray_iarray$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_27,type,
'fun_app$d': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_28,type,
'from_nat$a': 'Nat$' > 'Rows$' ).
tff(func_def_29,type,
'to_nat$a': 'Rows$' > 'Nat$' ).
tff(func_def_30,type,
'fun_app$a': ( 'Real_real_bool_fun_fun$' * $real ) > 'Real_bool_fun$' ).
tff(func_def_31,type,
'column$b': ( 'Cols$' * 'A_cols_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_32,type,
'fun_app$s': ( 'Cols_set_int_fun$' * 'Cols_set$' ) > $int ).
tff(func_def_33,type,
'matrix_to_iarray$b': 'A_cols_vec_cols_vec$' > 'A_iarray_iarray$' ).
tff(func_def_34,type,
'transpose$b': 'A_cols_vec_cols_vec$' > 'A_cols_vec_cols_vec$' ).
tff(func_def_35,type,
'column_add$': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'Cols$' * 'A$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_36,type,
'fun_app$ac': ( 'Nat_a_iarray_fun$' * 'Nat$' ) > 'A_iarray$' ).
tff(func_def_37,type,
'fun_app$r': ( 'Int_cols_set_fun$' * $int ) > 'Cols_set$' ).
tff(func_def_38,type,
'less_eq$a': 'Cols_cols_bool_fun_fun$' ).
tff(func_def_39,type,
'i$': 'Nat$' ).
tff(func_def_40,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_41,type,
'basis_null_space_iarrays$': 'A_iarray_iarray$' > 'A_iarray_set$' ).
tff(func_def_42,type,
'mult_column$': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'A$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_43,type,
'sub$': 'A_iarray_iarray$' > 'Nat_a_iarray_fun$' ).
tff(func_def_44,type,
'fun_app$ab': ( 'Bool_real_fun$' * tlbool ) > $real ).
tff(func_def_45,type,
'matrix_to_iarray$a': 'A_rows_vec_cols_vec$' > 'A_iarray_iarray$' ).
tff(func_def_46,type,
'uud$': 'Real_real_bool_fun_fun$' ).
tff(func_def_47,type,
'gauss_Jordan_upt_k_iarrays$': ( 'A_iarray_iarray$' * 'Nat$' ) > 'A_iarray_iarray$' ).
tff(func_def_48,type,
'nrows_iarray$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_49,type,
tltrue: tlbool ).
tff(func_def_50,type,
'ncols$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_51,type,
'to_nat$': 'Cols$' > 'Nat$' ).
tff(func_def_52,type,
'uu$': 'Real_set$' > 'Real_bool_fun$' ).
tff(func_def_53,type,
'a$': 'A_cols_vec_rows_vec$' ).
tff(func_def_54,type,
'zero$c': 'A_cols_vec$' ).
tff(func_def_55,type,
'zero$a': 'A_cols_vec_rows_vec$' ).
tff(func_def_56,type,
'mult_column_iarray$': ( 'A_iarray_iarray$' * 'Nat$' * 'A$' ) > 'A_iarray_iarray$' ).
tff(func_def_57,type,
'row$': ( 'Cols$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec$' ).
tff(func_def_58,type,
'vec_nth$a': ( 'A_cols_vec$' * 'Cols$' ) > 'A$' ).
tff(func_def_59,type,
'less$a': 'Cols_set_cols_set_bool_fun_fun$' ).
tff(func_def_60,type,
'of_fun$': ( 'Nat_a_iarray_fun$' * 'Nat$' ) > 'A_iarray_iarray$' ).
tff(func_def_61,type,
'less$': 'Cols_cols_bool_fun_fun$' ).
tff(func_def_62,type,
'fun_app$j': ( 'Int_real_fun$' * $int ) > $real ).
tff(func_def_63,type,
'fun_app$q': ( 'Cols_cols_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_64,type,
'p_Gauss_Jordan$': 'A_rows_vec_cols_vec$' > 'A_cols_vec_cols_vec$' ).
tff(func_def_65,type,
'fun_app$v': ( 'Real_set_cols_set_fun$' * 'Real_set$' ) > 'Cols_set$' ).
tff(func_def_66,type,
'zero$': 'Cols$' ).
tff(func_def_67,type,
'fun_app$o': ( 'Cols_int_fun$' * 'Cols$' ) > $int ).
tff(func_def_68,type,
'sub$a': ( 'A_iarray$' * 'Nat$' ) > 'A$' ).
tff(func_def_69,type,
'zero$b': 'A_rows_vec_cols_vec$' ).
tff(func_def_70,type,
'vec_to_iarray$': 'A_rows_vec$' > 'A_iarray$' ).
tff(func_def_71,type,
'ncols_iarray$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_72,type,
'fun_app$f': ( 'Cols_cols_bool_fun_fun$' * 'Cols$' ) > 'Cols_bool_fun$' ).
tff(func_def_73,type,
'matrix_to_iarray$': 'A_cols_vec_rows_vec$' > 'A_iarray_iarray$' ).
tff(func_def_74,type,
'basis_left_null_space_iarrays$': 'A_iarray_iarray$' > 'A_iarray_set$' ).
tff(func_def_75,type,
'fun_app$m': ( 'Int_cols_fun$' * $int ) > 'Cols$' ).
tff(func_def_76,type,
'column_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).
tff(func_def_77,type,
'fun_app$t': ( 'Real_set_bool_real_fun_fun$' * 'Real_set$' ) > 'Bool_real_fun$' ).
tff(func_def_78,type,
'column_add_iarray$': ( 'A_iarray_iarray$' * 'Nat$' * 'Nat$' * 'A$' ) > 'A_iarray_iarray$' ).
tff(func_def_79,type,
'fun_app$k': ( 'Real_int_fun$' * $real ) > $int ).
tff(func_def_80,type,
'uub$': 'Real_real_bool_fun_fun$' ).
tff(func_def_81,type,
'fun_app$aa': ( 'Bool_int_fun$' * tlbool ) > $int ).
tff(func_def_82,type,
tlfalse: tlbool ).
tff(func_def_83,type,
'column$a': ( 'Rows$' * 'A_rows_vec_cols_vec$' ) > 'A_cols_vec$' ).
tff(func_def_84,type,
'nat$': $int > 'Nat$' ).
tff(func_def_85,type,
'row$a': ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec$' ).
tff(func_def_86,type,
'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_87,type,
'vec_to_iarray$a': 'A_cols_vec$' > 'A_iarray$' ).
tff(func_def_88,type,
'fun_app$i': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_89,type,
'rank$b': 'A_rows_vec_cols_vec$' > 'Nat$' ).
tff(func_def_90,type,
'card$': 'Cols_set$' > 'Nat$' ).
tff(func_def_91,type,
'column$': ( 'Cols$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec$' ).
tff(func_def_92,type,
'rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_93,type,
'row_rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_94,type,
'fun_app$l': ( 'Real_real_fun$' * $real ) > $real ).
tff(func_def_95,type,
'fun_app$u': ( 'Real_set_bool_int_fun_fun$' * 'Real_set$' ) > 'Bool_int_fun$' ).
tff(func_def_96,type,
'vec_nth$': ( 'A_cols_vec_rows_vec$' * 'Rows$' ) > 'A_cols_vec$' ).
tff(func_def_97,type,
'collect$': 'Real_bool_fun$' > 'Real_set$' ).
tff(func_def_98,type,
'fun_app$z': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).
tff(func_def_109,type,
sK9: 'Real_int_fun$' > $real ).
tff(func_def_110,type,
sK10: 'Real_int_fun$' > $real ).
tff(func_def_111,type,
sK11: 'Int_cols_set_fun$' > $int ).
tff(func_def_112,type,
sK12: 'Int_cols_set_fun$' > $int ).
tff(func_def_113,type,
sK13: 'Int_real_fun$' > $int ).
tff(func_def_114,type,
sK14: 'Int_real_fun$' > $int ).
tff(func_def_115,type,
sK15: $real > $real ).
tff(func_def_116,type,
sK16: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_117,type,
sK17: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_118,type,
sK18: $real > $real ).
tff(func_def_119,type,
sK19: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_120,type,
sK20: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_121,type,
sK21: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_122,type,
sK22: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_123,type,
sK23: 'Real_int_fun$' > $real ).
tff(func_def_124,type,
sK24: 'Real_int_fun$' > $real ).
tff(func_def_125,type,
sK25: 'Real_real_fun$' > $real ).
tff(func_def_126,type,
sK26: 'Real_real_fun$' > $real ).
tff(func_def_127,type,
sK27: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_128,type,
sK28: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_129,type,
sK29: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_130,type,
sK30: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_131,type,
sK31: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_132,type,
sK32: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_133,type,
sK33: 'Int_real_fun$' > $int ).
tff(func_def_134,type,
sK34: 'Int_real_fun$' > $int ).
tff(func_def_135,type,
sK35: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_136,type,
sK36: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_137,type,
sK37: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_138,type,
sK38: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_139,type,
sK39: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_140,type,
sK40: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_141,type,
sK41: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_142,type,
sK42: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_143,type,
sK43: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_144,type,
sK44: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_145,type,
sK45: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_146,type,
sK46: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_147,type,
sK47: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_148,type,
sK48: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_149,type,
sK49: 'Int_real_fun$' > $int ).
tff(func_def_150,type,
sK50: 'Int_real_fun$' > $int ).
tff(func_def_151,type,
sK51: 'Int_real_fun$' > $int ).
tff(func_def_152,type,
sK52: 'Int_real_fun$' > $int ).
tff(func_def_153,type,
sK53: ( 'Real_bool_fun$' * 'Real_bool_fun$' ) > $real ).
tff(func_def_154,type,
sK54: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_155,type,
sK55: 'Int_cols_set_fun$' > $int ).
tff(func_def_156,type,
sK56: 'Int_cols_set_fun$' > $int ).
tff(func_def_157,type,
sK57: ( $real * $real ) > $real ).
tff(func_def_158,type,
sK58: 'Real_set$' > $real ).
tff(func_def_159,type,
sK59: ( 'Real_set$' * $real ) > $real ).
tff(func_def_160,type,
sK60: ( 'Real_set$' * $real ) > $real ).
tff(func_def_161,type,
sK61: ( $real * $real * $real ) > $real ).
tff(func_def_162,type,
sK62: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_163,type,
sK63: 'Real_cols_fun$' > $real ).
tff(func_def_164,type,
sK64: 'Real_cols_fun$' > $real ).
tff(func_def_165,type,
sK65: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_166,type,
sK66: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_167,type,
sK67: 'Real_int_fun$' > $real ).
tff(func_def_168,type,
sK68: 'Real_int_fun$' > $real ).
tff(func_def_169,type,
sK69: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_170,type,
sK70: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_171,type,
sK71: 'Int_int_fun$' > $int ).
tff(func_def_172,type,
sK72: 'Int_int_fun$' > $int ).
tff(func_def_173,type,
sK73: ( 'Cols_set$' * 'Nat$' ) > 'Cols_set$' ).
tff(func_def_174,type,
sK74: 'Int_int_fun$' > $int ).
tff(func_def_175,type,
sK75: 'Int_int_fun$' > $int ).
tff(func_def_176,type,
sK76: 'Real_int_fun$' > $real ).
tff(func_def_177,type,
sK77: 'Real_int_fun$' > $real ).
tff(func_def_178,type,
sK78: $real > $real ).
tff(func_def_179,type,
sK79: 'Int_real_fun$' > $int ).
tff(func_def_180,type,
sK80: 'Int_real_fun$' > $int ).
tff(func_def_181,type,
sK81: 'Int_int_fun$' > $int ).
tff(func_def_182,type,
sK82: 'Int_int_fun$' > $int ).
tff(func_def_183,type,
sK83: 'Real_real_fun$' > $real ).
tff(func_def_184,type,
sK84: 'Real_real_fun$' > $real ).
tff(func_def_185,type,
sK85: 'Int_real_fun$' > $int ).
tff(func_def_186,type,
sK86: 'Int_real_fun$' > $int ).
tff(func_def_187,type,
sK87: $int > $int ).
tff(func_def_188,type,
sK88: 'Int_cols_set_fun$' > $int ).
tff(func_def_189,type,
sK89: 'Int_cols_set_fun$' > $int ).
tff(func_def_190,type,
sK90: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_191,type,
sK91: $real > $real ).
tff(func_def_192,type,
sK92: 'Nat$' > 'Nat$' ).
tff(func_def_193,type,
sK93: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_194,type,
sK94: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_195,type,
sK95: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_196,type,
sK96: 'Real_real_fun$' > $real ).
tff(func_def_197,type,
sK97: 'Real_real_fun$' > $real ).
tff(func_def_198,type,
sK98: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_199,type,
sK99: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_200,type,
sK100: 'Real_set_cols_set_fun$' > 'Real_set$' ).
tff(func_def_201,type,
sK101: $int > $int ).
tff(func_def_202,type,
sK102: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_203,type,
sK103: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_204,type,
sK104: 'Int_int_fun$' > $int ).
tff(func_def_205,type,
sK105: 'Int_int_fun$' > $int ).
tff(func_def_206,type,
sK106: 'Int_int_fun$' > $int ).
tff(func_def_207,type,
sK107: 'Int_int_fun$' > $int ).
tff(func_def_208,type,
sK108: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_209,type,
sK109: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_210,type,
sK110: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_211,type,
sK111: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_212,type,
sK112: 'Cols_set_int_fun$' > 'Cols_set$' ).
tff(func_def_213,type,
sK113: 'Real_int_fun$' > $real ).
tff(func_def_214,type,
sK114: 'Real_int_fun$' > $real ).
tff(func_def_215,type,
sK115: 'Real_real_fun$' > $real ).
tff(func_def_216,type,
sK116: 'Real_real_fun$' > $real ).
tff(func_def_217,type,
sK117: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_218,type,
sK118: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_219,type,
sK119: ( 'Cols_bool_fun$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_220,type,
sK120: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_221,type,
sK121: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_222,type,
sK122: 'Int_int_fun$' > $int ).
tff(func_def_223,type,
sK123: 'Int_int_fun$' > $int ).
tff(func_def_224,type,
sK124: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_225,type,
sK125: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_226,type,
sK126: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_227,type,
sK127: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_228,type,
sK128: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_229,type,
sK129: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_230,type,
sK130: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_231,type,
sK131: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_232,type,
sK132: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_233,type,
sK133: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_234,type,
sK134: 'Real_cols_fun$' > $real ).
tff(func_def_235,type,
sK135: 'Real_cols_fun$' > $real ).
tff(func_def_236,type,
sK136: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_237,type,
sK137: 'Real_set_real_set_fun$' > 'Real_set$' ).
tff(func_def_238,type,
sK138: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_239,type,
sK139: ( $real * $real * $real ) > $real ).
tff(func_def_240,type,
sK140: 'Int_real_fun$' > $int ).
tff(func_def_241,type,
sK141: 'Int_real_fun$' > $int ).
tff(func_def_242,type,
sK142: 'Real_int_fun$' > $real ).
tff(func_def_243,type,
sK143: 'Real_int_fun$' > $real ).
tff(func_def_244,type,
sK144: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_245,type,
sK145: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_246,type,
sK146: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_247,type,
sK147: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_248,type,
sK148: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_249,type,
sK149: ( 'Nat_a_iarray_fun$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_250,type,
sK150: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_251,type,
sK151: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_252,type,
sK152: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_253,type,
sK153: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_254,type,
sK154: 'Int_real_fun$' > $int ).
tff(func_def_255,type,
sK155: 'Int_real_fun$' > $int ).
tff(func_def_256,type,
sK156: 'Real_cols_fun$' > $real ).
tff(func_def_257,type,
sK157: 'Real_cols_fun$' > $real ).
tff(func_def_258,type,
sK158: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_259,type,
sK159: 'Real_cols_fun$' > $real ).
tff(func_def_260,type,
sK160: 'Real_cols_fun$' > $real ).
tff(func_def_261,type,
sK161: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_262,type,
sK162: 'Int_real_fun$' > $int ).
tff(func_def_263,type,
sK163: 'Int_real_fun$' > $int ).
tff(func_def_264,type,
sK164: 'Int_int_fun$' > $int ).
tff(func_def_265,type,
sK165: 'Int_int_fun$' > $int ).
tff(func_def_266,type,
sK166: 'Real_int_fun$' > $real ).
tff(func_def_267,type,
sK167: 'Real_int_fun$' > $real ).
tff(func_def_268,type,
sK168: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_269,type,
sK169: 'Real_set_bool_int_fun_fun$' > 'Real_set$' ).
tff(func_def_270,type,
sK170: 'Real_real_fun$' > $real ).
tff(func_def_271,type,
sK171: 'Real_real_fun$' > $real ).
tff(func_def_272,type,
sK172: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_273,type,
sK173: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_274,type,
sK174: 'Int_int_fun$' > $int ).
tff(func_def_275,type,
sK175: 'Int_int_fun$' > $int ).
tff(func_def_276,type,
sK176: 'Int_cols_fun$' > $int ).
tff(func_def_277,type,
sK177: 'Int_cols_fun$' > $int ).
tff(func_def_278,type,
sK178: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_279,type,
sK179: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_280,type,
sK180: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_281,type,
sK181: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_282,type,
sK182: 'Int_int_fun$' > $int ).
tff(func_def_283,type,
sK183: 'Int_int_fun$' > $int ).
tff(func_def_284,type,
sK184: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_285,type,
sK185: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_286,type,
sK186: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_287,type,
sK187: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_288,type,
sK188: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_289,type,
sK189: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_290,type,
sK190: 'Int_real_fun$' > $int ).
tff(func_def_291,type,
sK191: 'Int_real_fun$' > $int ).
tff(func_def_292,type,
sK192: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_293,type,
sK193: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_294,type,
sK194: 'Real_int_fun$' > $real ).
tff(func_def_295,type,
sK195: 'Real_int_fun$' > $real ).
tff(func_def_296,type,
sK196: 'Int_cols_fun$' > $int ).
tff(func_def_297,type,
sK197: 'Int_cols_fun$' > $int ).
tff(func_def_298,type,
sK198: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_299,type,
sK199: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_300,type,
sK200: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_301,type,
sK201: 'Real_set_bool_real_fun_fun$' > 'Real_set$' ).
tff(func_def_302,type,
sK202: 'Real_real_fun$' > $real ).
tff(func_def_303,type,
sK203: 'Real_real_fun$' > $real ).
tff(func_def_304,type,
sK204: 'Real_int_fun$' > $real ).
tff(func_def_305,type,
sK205: 'Real_int_fun$' > $real ).
tff(func_def_306,type,
sK206: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_307,type,
sK207: 'Int_int_fun$' > $int ).
tff(func_def_308,type,
sK208: 'Int_int_fun$' > $int ).
tff(func_def_309,type,
sK209: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_310,type,
sK210: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_311,type,
sK211: 'Real_real_fun$' > $real ).
tff(func_def_312,type,
sK212: 'Real_real_fun$' > $real ).
tff(func_def_313,type,
sK213: 'Int_real_fun$' > $int ).
tff(func_def_314,type,
sK214: 'Int_real_fun$' > $int ).
tff(func_def_315,type,
sK215: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_316,type,
sK216: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_317,type,
sK217: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_318,type,
sK218: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_319,type,
sK219: ( 'Real_set$' * 'Real_set$' ) > $real ).
tff(func_def_320,type,
sK220: 'Real_real_fun$' > $real ).
tff(func_def_321,type,
sK221: 'Real_real_fun$' > $real ).
tff(func_def_322,type,
sK222: 'Real_cols_fun$' > $real ).
tff(func_def_323,type,
sK223: 'Real_cols_fun$' > $real ).
tff(func_def_324,type,
sK224: 'Nat$' > 'Nat$' ).
tff(func_def_325,type,
sK225: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_326,type,
sK226: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_327,type,
sK227: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_328,type,
sK228: 'Real_real_bool_fun_fun$' > $real ).
tff(func_def_329,type,
sK229: 'Int_int_fun$' > $int ).
tff(func_def_330,type,
sK230: 'Int_int_fun$' > $int ).
tff(func_def_331,type,
sK231: 'Nat$' > 'Nat$' ).
tff(func_def_332,type,
sK232: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_333,type,
sK233: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_334,type,
sK234: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_335,type,
sK235: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_336,type,
sK236: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_337,type,
sK237: 'Cols_cols_bool_fun_fun$' > 'Cols$' ).
tff(func_def_338,type,
sK238: 'Int_cols_fun$' > $int ).
tff(func_def_339,type,
sK239: 'Int_cols_fun$' > $int ).
tff(func_def_340,type,
sK240: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_341,type,
sK241: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_342,type,
sK242: 'Nat$' > 'Nat$' ).
tff(func_def_343,type,
sK243: 'Int_real_fun$' > $int ).
tff(func_def_344,type,
sK244: 'Int_real_fun$' > $int ).
tff(func_def_345,type,
sK245: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_346,type,
sK246: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_347,type,
sK247: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_348,type,
sK248: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_349,type,
sK249: 'Int_cols_fun$' > $int ).
tff(func_def_350,type,
sK250: 'Int_cols_fun$' > $int ).
tff(func_def_351,type,
sK251: ( $real * $real ) > $real ).
tff(func_def_352,type,
sK252: 'Real_real_fun$' > $real ).
tff(func_def_353,type,
sK253: 'Real_real_fun$' > $real ).
tff(func_def_354,type,
sK254: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_355,type,
sK255: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_356,type,
sK256: 'Cols_int_fun$' > 'Cols$' ).
tff(func_def_357,type,
sK257: 'Real_int_fun$' > $real ).
tff(func_def_358,type,
sK258: 'Real_int_fun$' > $real ).
tff(func_def_359,type,
sK259: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_360,type,
sK260: 'Cols_bool_fun$' > 'Cols$' ).
tff(func_def_361,type,
sK261: 'Int_cols_fun$' > $int ).
tff(func_def_362,type,
sK262: 'Int_cols_fun$' > $int ).
tff(func_def_363,type,
sK263: 'Real_int_fun$' > $real ).
tff(func_def_364,type,
sK264: 'Real_int_fun$' > $real ).
tff(func_def_365,type,
sK265: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_366,type,
sK266: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_367,type,
sK267: ( $real * $real ) > $real ).
tff(func_def_368,type,
sK268: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_369,type,
sK269: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_370,type,
sK270: 'Int_int_fun$' > $int ).
tff(func_def_371,type,
sK271: 'Int_int_fun$' > $int ).
tff(func_def_372,type,
sK272: ( $real * $real ) > $real ).
tff(func_def_373,type,
sK273: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_374,type,
sK274: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_375,type,
sK275: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_376,type,
sK276: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_377,type,
sK277: 'Real_real_fun$' > $real ).
tff(func_def_378,type,
sK278: 'Real_real_fun$' > $real ).
tff(func_def_379,type,
sK279: 'Real_real_fun$' > $real ).
tff(func_def_380,type,
sK280: 'Real_real_fun$' > $real ).
tff(func_def_381,type,
sK281: 'Nat$' > 'Nat$' ).
tff(func_def_382,type,
sK282: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_383,type,
sK283: 'Cols_real_fun$' > 'Cols$' ).
tff(func_def_384,type,
sK284: 'Real_real_fun$' > $real ).
tff(func_def_385,type,
sK285: 'Real_real_fun$' > $real ).
tff(func_def_386,type,
sK286: 'Real_int_fun$' > $real ).
tff(func_def_387,type,
sK287: 'Real_int_fun$' > $real ).
tff(func_def_388,type,
sK288: ( 'Nat$' * 'Nat_real_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_389,type,
sK289: ( 'Nat$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_390,type,
sK290: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_391,type,
sK291: 'Cols_cols_fun$' > 'Cols$' ).
tff(func_def_394,type,
'$inst293': $int ).
tff(func_def_395,type,
'$inst294': $real ).
tff(func_def_396,type,
'$inst295': $int ).
tff(func_def_397,type,
'$inst296': $int ).
tff(pred_def_1,type,
'less_eq$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 ) > $o ).
tff(pred_def_24,type,
sP0: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_25,type,
sP1: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_26,type,
sP2: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_27,type,
sP3: ( $int * $int * $int ) > $o ).
tff(pred_def_28,type,
sP4: ( $int * $int * $int ) > $o ).
tff(pred_def_29,type,
sP5: ( $int * $int * $int ) > $o ).
tff(pred_def_30,type,
sP6: ( $real * $real * $real ) > $o ).
tff(pred_def_31,type,
sP7: ( $real * $real * $real ) > $o ).
tff(pred_def_32,type,
sP8: ( $real * $real * $real ) > $o ).
tff(f6,conjecture,
? [X0: 'Cols$'] :
( $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0)))
& ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
tff(f7,negated_conjecture,
~ ? [X0: 'Cols$'] :
( $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X0)))
& ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) = 'row$'(X0,'p_Gauss_Jordan$'('transpose$'('a$'))) ) ),
inference(negated_conjecture,[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(f447,axiom,
! [X0: 'Nat$'] :
( $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$')))
=> ( 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) = 'fun_app$d'('of_nat$',X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom445) ).
tff(f681,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
inference(theory_normalization,[],[f10]) ).
tff(f771,plain,
~ ? [X0: 'Cols$'] :
( ( '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(f1441,plain,
! [X0: 'Nat$'] :
( ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) = 'fun_app$d'('of_nat$',X0) ) ),
inference(ennf_transformation,[],[f447]) ).
tff(f1660,plain,
! [X0: 'Cols$'] :
( ( '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,[],[f771]) ).
tff(f2622,plain,
! [X0: 'Nat$'] :
( ( 'fun_app$d'('of_nat$',X0) = 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X0))) )
| ~ $less('fun_app$d'('of_nat$',X0),'fun_app$d'('of_nat$','card$'('top$'))) ),
inference(cnf_transformation,[],[f1441]) ).
tff(f2654,plain,
~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))),
inference(cnf_transformation,[],[f681]) ).
tff(f2836,plain,
! [X0: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X0)) = 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X0))) ),
inference(cnf_transformation,[],[f380]) ).
tff(f3435,plain,
$less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))),
inference(cnf_transformation,[],[f433]) ).
tff(f3491,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,[],[f1660]) ).
tff(f3779,definition,
( spl292_5
<=> $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$')))) ),
introduced(definition,[new_symbols(definition,[spl292_5])],[avatar_definition]) ).
tff(f3781,plain,
( ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$'))))
| spl292_5 ),
inference(avatar_component_clause,[],[f3779]) ).
tff(f3782,plain,
~ spl292_5,
inference(avatar_split_clause,[],[f2654,f3779]) ).
tff(f3784,definition,
( spl292_6
<=> $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))) ),
introduced(definition,[new_symbols(definition,[spl292_6])],[avatar_definition]) ).
tff(f3787,plain,
spl292_6,
inference(avatar_split_clause,[],[f3435,f3784]) ).
tff(f3836,plain,
$less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),'fun_app$d'('of_nat$','rank$'('a$'))),
inference(equality_resolution,[],[f3491]) ).
tff(f3838,definition,
( spl292_16
<=> $less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),'fun_app$d'('of_nat$','rank$'('a$'))) ),
introduced(definition,[new_symbols(definition,[spl292_16])],[avatar_definition]) ).
tff(f3840,plain,
( $less('fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))),'fun_app$d'('of_nat$','rank$'('a$')))
| ~ spl292_16 ),
inference(avatar_component_clause,[],[f3838]) ).
tff(f3841,plain,
spl292_16,
inference(avatar_split_clause,[],[f3836,f3838]) ).
tff(f4174,plain,
( ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank$'('a$')))
| spl292_5 ),
inference(superposition,[],[f3781,f2836]) ).
tff(f4176,definition,
( spl292_50
<=> $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank$'('a$'))) ),
introduced(definition,[new_symbols(definition,[spl292_50])],[avatar_definition]) ).
tff(f4179,plain,
( ~ spl292_50
| spl292_5 ),
inference(avatar_split_clause,[],[f4174,f3779,f4176]) ).
tff(f4388,plain,
( $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','rank$'('a$')))
| ~ $less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$')))
| ~ spl292_16 ),
inference(superposition,[],[f3840,f2622]) ).
tff(f4414,plain,
( spl292_50
| ~ spl292_6
| ~ spl292_16 ),
inference(avatar_split_clause,[],[f4388,f3838,f3784,f4176]) ).
tff(f4477,plain,
$false,
inference(avatar_smt_refutation,[],[f4414,f4179,f3841,f3787,f3782]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.15/0.39 % Computer : n013.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun Sep 27 12:54:36 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.03/1.80 % (201181)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.03/1.80 % (201188)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4109956581:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.03/1.80 % (201186)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2714638120:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.03/1.80 % (201186)Instruction limit reached!
% 5.03/1.80 % (201186)------------------------------
% 5.03/1.80 % (201186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201186)CaDiCaL version: 2.1.3
% 5.03/1.80 % (201186)Termination reason: Instruction limit
% 5.03/1.80 % (201186)Termination phase: Property scanning
% 5.03/1.80 % (201186)Time elapsed: 0.012 s
% 5.03/1.80 % (201186)Peak memory usage: 86 MB
% 5.03/1.80 % (201186)Instructions burned: 12 (million)
% 5.03/1.80 % (201187)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2418865549:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.03/1.80 % (201189)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2890584627:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.03/1.80 % (201190)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3068257872:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.03/1.80 % (201191)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2482589774:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.03/1.80 % (201190)Instruction limit reached!
% 5.03/1.80 % (201190)------------------------------
% 5.03/1.80 % (201190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201190)CaDiCaL version: 2.1.3
% 5.03/1.80 % (201190)Termination reason: Instruction limit
% 5.03/1.80 % (201190)Termination phase: Property scanning
% 5.03/1.80 % (201190)Time elapsed: 0.005 s
% 5.03/1.80 % (201190)Peak memory usage: 86 MB
% 5.03/1.80 % (201190)Instructions burned: 4 (million)
% 5.03/1.80 % (201192)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1171061193:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.03/1.80 % (201189)Instruction limit reached!
% 5.03/1.80 % (201189)------------------------------
% 5.03/1.80 % (201189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201189)CaDiCaL version: 2.1.3
% 5.03/1.80 % (201189)Termination reason: Instruction limit
% 5.03/1.80 % (201189)Termination phase: Property scanning
% 5.03/1.80 % (201189)Time elapsed: 0.007 s
% 5.03/1.80 % (201189)Peak memory usage: 86 MB
% 5.03/1.80 % (201189)Instructions burned: 7 (million)
% 5.03/1.80 % (201192)Instruction limit reached!
% 5.03/1.80 % (201192)------------------------------
% 5.03/1.80 % (201192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201192)CaDiCaL version: 2.1.3
% 5.03/1.80 % (201192)Termination reason: Instruction limit
% 5.03/1.80 % (201192)Termination phase: Preprocessing 3
% 5.03/1.80 % (201192)Time elapsed: 0.034 s
% 5.03/1.80 % (201192)Peak memory usage: 88 MB
% 5.03/1.80 % (201192)Instructions burned: 34 (million)
% 5.03/1.80 % (201188)Instruction limit reached!
% 5.03/1.80 % (201188)------------------------------
% 5.03/1.80 % (201188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201188)CaDiCaL version: 2.1.3
% 5.03/1.80 % (201188)Termination reason: Instruction limit
% 5.03/1.80 % (201188)Termination phase: Saturation
% 5.03/1.80 % (201188)Time elapsed: 0.136 s
% 5.03/1.80 % (201188)Peak memory usage: 119 MB
% 5.03/1.80 % (201188)Instructions burned: 201 (million)
% 5.03/1.80 % (201191)Instruction limit reached!
% 5.03/1.80 % (201191)------------------------------
% 5.03/1.80 % (201191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.80 % (201191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.80 % (201191)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201191)Termination reason: Instruction limit
% 6.71/2.01 % (201191)Termination phase: Property scanning
% 6.71/2.01 % (201191)Time elapsed: 0.044 s
% 6.71/2.01 % (201191)Peak memory usage: 88 MB
% 6.71/2.01 % (201191)Instructions burned: 47 (million)
% 6.71/2.01 % (201195)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2901263064:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.71/2.01 % (201195)Instruction limit reached!
% 6.71/2.01 % (201195)------------------------------
% 6.71/2.01 % (201195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (201195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (201195)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201195)Termination reason: Instruction limit
% 6.71/2.01 % (201195)Termination phase: Preprocessing 1
% 6.71/2.01 % (201195)Time elapsed: 0.014 s
% 6.71/2.01 % (201195)Peak memory usage: 86 MB
% 6.71/2.01 % (201195)Instructions burned: 14 (million)
% 6.71/2.01 % (201203)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2831121799:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.71/2.01 % (201204)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=614207830:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.71/2.01 % (201202)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4196999274:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.71/2.01 % (201201)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3575422309:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 6.71/2.01 % (201203)Instruction limit reached!
% 6.71/2.01 % (201203)------------------------------
% 6.71/2.01 % (201203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (201203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (201203)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201203)Termination reason: Instruction limit
% 6.71/2.01 % (201203)Termination phase: Naming
% 6.71/2.01 % (201203)Time elapsed: 0.013 s
% 6.71/2.01 % (201203)Peak memory usage: 87 MB
% 6.71/2.01 % (201203)Instructions burned: 25 (million)
% 6.71/2.01 % (201202)Instruction limit reached!
% 6.71/2.01 % (201202)------------------------------
% 6.71/2.01 % (201202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (201202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (201202)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201202)Termination reason: Instruction limit
% 6.71/2.01 % (201202)Termination phase: Naming
% 6.71/2.01 % (201202)Time elapsed: 0.017 s
% 6.71/2.01 % (201202)Peak memory usage: 86 MB
% 6.71/2.01 % (201202)Instructions burned: 17 (million)
% 6.71/2.01 % (201204)Instruction limit reached!
% 6.71/2.01 % (201204)------------------------------
% 6.71/2.01 % (201204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (201204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (201204)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201204)Termination reason: Instruction limit
% 6.71/2.01 % (201204)Termination phase: Preprocessing 3
% 6.71/2.01 % (201204)Time elapsed: 0.027 s
% 6.71/2.01 % (201204)Peak memory usage: 87 MB
% 6.71/2.01 % (201204)Instructions burned: 27 (million)
% 6.71/2.01 % (201201)Instruction limit reached!
% 6.71/2.01 % (201201)------------------------------
% 6.71/2.01 % (201201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (201201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (201201)CaDiCaL version: 2.1.3
% 6.71/2.01 % (201201)Termination reason: Instruction limit
% 6.71/2.01 % (201201)Termination phase: Preprocessing 3
% 6.71/2.01 % (201201)Time elapsed: 0.029 s
% 6.71/2.01 % (201201)Peak memory usage: 87 MB
% 6.71/2.01 % (201201)Instructions burned: 29 (million)
% 6.71/2.01 % (201205)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1171848139:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.71/2.01 % (201207)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3865935496:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 6.71/2.01 % (201187)Instruction limit reached!
% 9.44/2.30 % (201187)------------------------------
% 9.44/2.30 % (201187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.30 % (201187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.30 % (201187)CaDiCaL version: 2.1.3
% 9.44/2.30 % (201187)Termination reason: Instruction limit
% 9.44/2.30 % (201187)Termination phase: Saturation
% 9.44/2.30 % (201187)Time elapsed: 0.355 s
% 9.44/2.30 % (201187)Peak memory usage: 119 MB
% 9.44/2.30 % (201187)Instructions burned: 307 (million)
% 9.44/2.30 % (201207)Instruction limit reached!
% 9.44/2.30 % (201207)------------------------------
% 9.44/2.30 % (201207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.30 % (201207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.30 % (201207)CaDiCaL version: 2.1.3
% 9.44/2.30 % (201207)Termination reason: Instruction limit
% 9.44/2.30 % (201207)Termination phase: Property scanning
% 9.44/2.30 % (201207)Time elapsed: 0.004 s
% 9.44/2.30 % (201207)Peak memory usage: 85 MB
% 9.44/2.30 % (201207)Instructions burned: 3 (million)
% 9.44/2.30 % (201205)Instruction limit reached!
% 9.44/2.31 % (201205)------------------------------
% 9.44/2.31 % (201205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.31 % (201205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.31 % (201205)CaDiCaL version: 2.1.3
% 9.44/2.31 % (201205)Termination reason: Instruction limit
% 9.44/2.31 % (201205)Termination phase: Saturation
% 9.44/2.31 % (201205)Time elapsed: 0.077 s
% 9.44/2.31 % (201205)Peak memory usage: 90 MB
% 9.44/2.31 % (201205)Instructions burned: 85 (million)
% 9.44/2.31 % (201212)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1164080725:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.44/2.31 % (201215)lrs+10_1_thi=all:si=on:fd=off:random_seed=2521642165:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 9.44/2.31 % (201215)Instruction limit reached!
% 9.44/2.31 % (201215)------------------------------
% 9.44/2.31 % (201215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.31 % (201215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.31 % (201215)CaDiCaL version: 2.1.3
% 9.44/2.31 % (201215)Termination reason: Instruction limit
% 9.44/2.31 % (201215)Termination phase: Property scanning
% 9.44/2.31 % (201215)Time elapsed: 0.040 s
% 9.44/2.31 % (201215)Peak memory usage: 88 MB
% 9.44/2.31 % (201215)Instructions burned: 55 (million)
% 9.44/2.31 % (201212)Instruction limit reached!
% 9.44/2.31 % (201212)------------------------------
% 9.44/2.31 % (201212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.31 % (201212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.31 % (201212)CaDiCaL version: 2.1.3
% 9.44/2.31 % (201212)Termination reason: Instruction limit
% 9.44/2.31 % (201212)Termination phase: Saturation
% 9.44/2.31 % (201212)Time elapsed: 0.085 s
% 9.44/2.31 % (201212)Peak memory usage: 90 MB
% 9.44/2.31 % (201212)Instructions burned: 181 (million)
% 9.44/2.31 % (201213)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2556240411:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.44/2.31 % (201213)Instruction limit reached!
% 9.44/2.31 % (201213)------------------------------
% 9.44/2.31 % (201213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.31 % (201213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.31 % (201213)CaDiCaL version: 2.1.3
% 9.44/2.31 % (201213)Termination reason: Instruction limit
% 9.44/2.31 % (201213)Termination phase: Property scanning
% 9.44/2.31 % (201213)Time elapsed: 0.005 s
% 9.44/2.31 % (201213)Peak memory usage: 86 MB
% 9.44/2.31 % (201213)Instructions burned: 4 (million)
% 9.44/2.31 % (201214)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2789948539:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.44/2.31 % (201214)Instruction limit reached!
% 9.44/2.31 % (201214)------------------------------
% 9.44/2.31 % (201214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.31 % (201214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.31 % (201214)CaDiCaL version: 2.1.3
% 9.44/2.31 % (201214)Termination reason: Instruction limit
% 9.44/2.31 % (201214)Termination phase: Saturation
% 10.72/2.63 % (201214)Time elapsed: 0.062 s
% 10.72/2.63 % (201214)Peak memory usage: 90 MB
% 10.72/2.63 % (201214)Instructions burned: 66 (million)
% 10.72/2.63 % (201219)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=887962869:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 10.72/2.63 % (201218)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3484062449:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 10.72/2.63 % (201219)Instruction limit reached!
% 10.72/2.63 % (201219)------------------------------
% 10.72/2.63 % (201219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.63 % (201219)CaDiCaL version: 2.1.3
% 10.72/2.63 % (201219)Termination reason: Instruction limit
% 10.72/2.63 % (201219)Termination phase: shuffling
% 10.72/2.63 % (201219)Time elapsed: 0.003 s
% 10.72/2.63 % (201219)Peak memory usage: 85 MB
% 10.72/2.63 % (201219)Instructions burned: 2 (million)
% 10.72/2.63 % (201218)Instruction limit reached!
% 10.72/2.63 % (201218)------------------------------
% 10.72/2.63 % (201218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.63 % (201218)CaDiCaL version: 2.1.3
% 10.72/2.63 % (201218)Termination reason: Instruction limit
% 10.72/2.63 % (201218)Termination phase: shuffling
% 10.72/2.63 % (201218)Time elapsed: 0.010 s
% 10.72/2.63 % (201218)Peak memory usage: 86 MB
% 10.72/2.63 % (201218)Instructions burned: 10 (million)
% 10.72/2.63 % (201220)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3789286668:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.72/2.63 % (201220)Instruction limit reached!
% 10.72/2.63 % (201220)------------------------------
% 10.72/2.63 % (201220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.63 % (201220)CaDiCaL version: 2.1.3
% 10.72/2.63 % (201220)Termination reason: Instruction limit
% 10.72/2.63 % (201220)Termination phase: shuffling
% 10.72/2.63 % (201220)Time elapsed: 0.004 s
% 10.72/2.63 % (201220)Peak memory usage: 85 MB
% 10.72/2.63 % (201220)Instructions burned: 2 (million)
% 10.72/2.63 % (201225)dis+10_1_si=on:random_seed=1493183791:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.72/2.63 % (201224)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2364148283:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.72/2.63 % (201225)Instruction limit reached!
% 10.72/2.63 % (201225)------------------------------
% 10.72/2.63 % (201225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.63 % (201225)CaDiCaL version: 2.1.3
% 10.72/2.63 % (201225)Termination reason: Instruction limit
% 10.72/2.63 % (201225)Termination phase: Property scanning
% 10.72/2.63 % (201225)Time elapsed: 0.006 s
% 10.72/2.63 % (201225)Peak memory usage: 86 MB
% 10.72/2.63 % (201225)Instructions burned: 12 (million)
% 10.72/2.63 % (201233)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2162976894:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 10.72/2.63 % (201228)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3671047901:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.72/2.63 % (201233)Instruction limit reached!
% 10.72/2.63 % (201233)------------------------------
% 10.72/2.63 % (201233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.63 % (201233)CaDiCaL version: 2.1.3
% 10.72/2.63 % (201233)Termination reason: Instruction limit
% 10.72/2.63 % (201233)Termination phase: Property scanning
% 10.72/2.63 % (201233)Time elapsed: 0.005 s
% 10.72/2.63 % (201233)Peak memory usage: 86 MB
% 10.72/2.63 % (201233)Instructions burned: 9 (million)
% 10.72/2.63 % (201228)Instruction limit reached!
% 10.72/2.63 % (201228)------------------------------
% 10.72/2.63 % (201228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.63 % (201228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201228)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201228)Termination reason: Instruction limit
% 16.10/3.15 % (201228)Termination phase: Preprocessing 3
% 16.10/3.15 % (201228)Time elapsed: 0.025 s
% 16.10/3.15 % (201228)Peak memory usage: 88 MB
% 16.10/3.15 % (201228)Instructions burned: 26 (million)
% 16.10/3.15 % (201231)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2383591056:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 16.10/3.15 % (201224)Instruction limit reached!
% 16.10/3.15 % (201224)------------------------------
% 16.10/3.15 % (201224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.15 % (201224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201224)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201224)Termination reason: Instruction limit
% 16.10/3.15 % (201224)Termination phase: Saturation
% 16.10/3.15 % (201224)Time elapsed: 0.154 s
% 16.10/3.15 % (201224)Peak memory usage: 118 MB
% 16.10/3.15 % (201224)Instructions burned: 127 (million)
% 16.10/3.15 % (201232)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=4110510085:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 16.10/3.15 % (201232)Instruction limit reached!
% 16.10/3.15 % (201232)------------------------------
% 16.10/3.15 % (201232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.15 % (201232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201232)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201232)Termination reason: Instruction limit
% 16.10/3.15 % (201232)Termination phase: shuffling
% 16.10/3.15 % (201232)Time elapsed: 0.002 s
% 16.10/3.15 % (201232)Peak memory usage: 85 MB
% 16.10/3.15 % (201232)Instructions burned: 2 (million)
% 16.10/3.15 % (201231)Instruction limit reached!
% 16.10/3.15 % (201231)------------------------------
% 16.10/3.15 % (201231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.15 % (201231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201231)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201231)Termination reason: Instruction limit
% 16.10/3.15 % (201231)Termination phase: Preprocessing 3
% 16.10/3.15 % (201231)Time elapsed: 0.036 s
% 16.10/3.15 % (201231)Peak memory usage: 88 MB
% 16.10/3.15 % (201231)Instructions burned: 36 (million)
% 16.10/3.15 % (201239)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=740355709:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 16.10/3.15 % (201236)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3513040500:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 16.10/3.15 % (201239)Instruction limit reached!
% 16.10/3.15 % (201239)------------------------------
% 16.10/3.15 % (201239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.15 % (201239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201239)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201239)Termination reason: Instruction limit
% 16.10/3.15 % (201239)Termination phase: Property scanning
% 16.10/3.15 % (201239)Time elapsed: 0.007 s
% 16.10/3.15 % (201239)Peak memory usage: 85 MB
% 16.10/3.15 % (201239)Instructions burned: 15 (million)
% 16.10/3.15 % (201242)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3496409614:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 16.10/3.15 % (201243)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=113023843:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 16.10/3.15 % (201243)Instruction limit reached!
% 16.10/3.15 % (201243)------------------------------
% 16.10/3.15 % (201243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.15 % (201243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.15 % (201243)CaDiCaL version: 2.1.3
% 16.10/3.15 % (201243)Termination reason: Instruction limit
% 16.10/3.15 % (201243)Termination phase: Preprocessing 1
% 16.10/3.15 % (201243)Time elapsed: 0.011 s
% 16.10/3.15 % (201243)Peak memory usage: 86 MB
% 16.10/3.15 % (201243)Instructions burned: 11 (million)
% 16.10/3.15 % (201246)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3046904856:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 16.10/3.15 % (201251)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1722283281:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/130Mi)
% 16.88/3.33 % (201247)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1856901089:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 16.88/3.33 % (201248)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3994464232:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 16.88/3.33 % (201246)Instruction limit reached!
% 16.88/3.33 % (201246)------------------------------
% 16.88/3.33 % (201246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201246)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201246)Termination reason: Instruction limit
% 16.88/3.33 % (201246)Termination phase: Saturation
% 16.88/3.33 % (201246)Time elapsed: 0.084 s
% 16.88/3.33 % (201246)Peak memory usage: 113 MB
% 16.88/3.33 % (201246)Instructions burned: 71 (million)
% 16.88/3.33 % (201247)Instruction limit reached!
% 16.88/3.33 % (201247)------------------------------
% 16.88/3.33 % (201247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201247)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201247)Termination reason: Instruction limit
% 16.88/3.33 % (201247)Termination phase: Saturation
% 16.88/3.33 % (201247)Time elapsed: 0.068 s
% 16.88/3.33 % (201247)Peak memory usage: 90 MB
% 16.88/3.33 % (201247)Instructions burned: 76 (million)
% 16.88/3.33 % (201251)Instruction limit reached!
% 16.88/3.33 % (201251)------------------------------
% 16.88/3.33 % (201251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201251)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201251)Termination reason: Instruction limit
% 16.88/3.33 % (201251)Termination phase: Saturation
% 16.88/3.33 % (201251)Time elapsed: 0.083 s
% 16.88/3.33 % (201251)Peak memory usage: 115 MB
% 16.88/3.33 % (201251)Instructions burned: 131 (million)
% 16.88/3.33 % (201236)Instruction limit reached!
% 16.88/3.33 % (201236)------------------------------
% 16.88/3.33 % (201236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201236)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201236)Termination reason: Instruction limit
% 16.88/3.33 % (201236)Termination phase: Saturation
% 16.88/3.33 % (201236)Time elapsed: 0.351 s
% 16.88/3.33 % (201236)Peak memory usage: 95 MB
% 16.88/3.33 % (201236)Instructions burned: 371 (million)
% 16.88/3.33 % (201242)Instruction limit reached!
% 16.88/3.33 % (201242)------------------------------
% 16.88/3.33 % (201242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201242)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201242)Termination reason: Instruction limit
% 16.88/3.33 % (201242)Termination phase: Saturation
% 16.88/3.33 % (201242)Time elapsed: 0.230 s
% 16.88/3.33 % (201242)Peak memory usage: 119 MB
% 16.88/3.33 % (201242)Instructions burned: 226 (million)
% 16.88/3.33 % (201255)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1373157452:i=131:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 16.88/3.33 % (201259)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=170889396:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2984 on theBenchmark for (2984ds/40Mi)
% 16.88/3.33 % (201259)Instruction limit reached!
% 16.88/3.33 % (201259)------------------------------
% 16.88/3.33 % (201259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201259)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201259)Termination reason: Instruction limit
% 16.88/3.33 % (201259)Termination phase: Naming
% 16.88/3.33 % (201259)Time elapsed: 0.020 s
% 16.88/3.33 % (201259)Peak memory usage: 87 MB
% 16.88/3.33 % (201259)Instructions burned: 40 (million)
% 16.88/3.33 % (201248)Instruction limit reached!
% 16.88/3.33 % (201248)------------------------------
% 16.88/3.33 % (201248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201248)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201248)Termination reason: Instruction limit
% 16.88/3.33 % (201248)Termination phase: Saturation
% 16.88/3.33 % (201248)Time elapsed: 0.319 s
% 16.88/3.33 % (201248)Peak memory usage: 92 MB
% 16.88/3.33 % (201248)Instructions burned: 294 (million)
% 16.88/3.33 % (201260)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1333058794:i=307:rtra=on:gtg=exists_top_2984 on theBenchmark for (2984ds/307Mi)
% 16.88/3.33 % (201261)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3252873535:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 16.88/3.33 % (201263)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1360237742:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2983 on theBenchmark for (2983ds/259Mi)
% 16.88/3.33 % (201262)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2707211718:i=131:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/131Mi)
% 16.88/3.33 % (201255)Instruction limit reached!
% 16.88/3.33 % (201255)------------------------------
% 16.88/3.33 % (201255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201255)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201255)Termination reason: Instruction limit
% 16.88/3.33 % (201255)Termination phase: Saturation
% 16.88/3.33 % (201255)Time elapsed: 0.193 s
% 16.88/3.33 % (201255)Peak memory usage: 135 MB
% 16.88/3.33 % (201255)Instructions burned: 131 (million)
% 16.88/3.33 % (201266)dis+10_1_si=on:random_seed=3800787923:s2a=on:i=1000:rtra=on:gtg=exists_all_2982 on theBenchmark for (2982ds/1000Mi)
% 16.88/3.33 % (201262)Instruction limit reached!
% 16.88/3.33 % (201262)------------------------------
% 16.88/3.33 % (201262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201262)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201262)Termination reason: Instruction limit
% 16.88/3.33 % (201262)Termination phase: Saturation
% 16.88/3.33 % (201262)Time elapsed: 0.160 s
% 16.88/3.33 % (201262)Peak memory usage: 119 MB
% 16.88/3.33 % (201262)Instructions burned: 131 (million)
% 16.88/3.33 % (201260)Instruction limit reached!
% 16.88/3.33 % (201260)------------------------------
% 16.88/3.33 % (201260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201260)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201260)Termination reason: Instruction limit
% 16.88/3.33 % (201260)Termination phase: Saturation
% 16.88/3.33 % (201260)Time elapsed: 0.266 s
% 16.88/3.33 % (201260)Peak memory usage: 92 MB
% 16.88/3.33 % (201260)Instructions burned: 308 (million)
% 16.88/3.33 % (201261)First to succeed.
% 16.88/3.33 % (201261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-201181"
% 16.88/3.33 % (201267)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1702881757:i=383:fsr=off:rtra=on:ev=force_2982 on theBenchmark for (2982ds/383Mi)
% 16.88/3.33 % (201272)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=3145842093:i=141:doe=on:rtra=on_2981 on theBenchmark for (2981ds/141Mi)
% 16.88/3.33 % (201263)Instruction limit reached!
% 16.88/3.33 % (201263)------------------------------
% 16.88/3.33 % (201263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201263)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201263)Termination reason: Instruction limit
% 16.88/3.33 % (201263)Termination phase: Saturation
% 16.88/3.33 % (201263)Time elapsed: 0.311 s
% 16.88/3.33 % (201263)Peak memory usage: 118 MB
% 16.88/3.33 % (201263)Instructions burned: 260 (million)
% 16.88/3.33 % (201274)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=3718643166:i=65:nm=16:rtra=on_2979 on theBenchmark for (2979ds/65Mi)
% 16.88/3.33 % (201276)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2517280772:i=121:nm=16:rtra=on_2979 on theBenchmark for (2979ds/121Mi)
% 16.88/3.33 % (201272)Instruction limit reached!
% 16.88/3.33 % (201272)------------------------------
% 16.88/3.33 % (201272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201272)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201272)Termination reason: Instruction limit
% 16.88/3.33 % (201272)Termination phase: Saturation
% 16.88/3.33 % (201272)Time elapsed: 0.138 s
% 16.88/3.33 % (201272)Peak memory usage: 91 MB
% 16.88/3.33 % (201272)Instructions burned: 142 (million)
% 16.88/3.33 % (201274)Instruction limit reached!
% 16.88/3.33 % (201274)------------------------------
% 16.88/3.33 % (201274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201274)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201274)Termination reason: Instruction limit
% 16.88/3.33 % (201274)Termination phase: Saturation
% 16.88/3.33 % (201274)Time elapsed: 0.055 s
% 16.88/3.33 % (201274)Peak memory usage: 90 MB
% 16.88/3.33 % (201274)Instructions burned: 66 (million)
% 16.88/3.33 % (201276)Instruction limit reached!
% 16.88/3.33 % (201276)------------------------------
% 16.88/3.33 % (201276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201276)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201276)Termination reason: Instruction limit
% 16.88/3.33 % (201276)Termination phase: Saturation
% 16.88/3.33 % (201276)Time elapsed: 0.118 s
% 16.88/3.33 % (201276)Peak memory usage: 91 MB
% 16.88/3.33 % (201276)Instructions burned: 122 (million)
% 16.88/3.33 % (201278)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=4246584877:s2a=on:i=128:s2at=5:ins=3:rtra=on_2978 on theBenchmark for (2978ds/128Mi)
% 16.88/3.33 % (201267)Instruction limit reached!
% 16.88/3.33 % (201267)------------------------------
% 16.88/3.33 % (201267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.33 % (201267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.33 % (201267)CaDiCaL version: 2.1.3
% 16.88/3.33 % (201267)Termination reason: Instruction limit
% 16.88/3.33 % (201267)Termination phase: Saturation
% 16.88/3.33 % (201267)Time elapsed: 0.389 s
% 16.88/3.33 % (201267)Peak memory usage: 96 MB
% 16.88/3.33 % (201267)Instructions burned: 383 (million)
% 16.88/3.33 % (201261)Refutation found. Thanks to Tanya!
% 16.88/3.33 % SZS status Theorem for theBenchmark
% 16.88/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 17.72/3.53 % (201261)------------------------------
% 17.72/3.53 % (201261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.72/3.53 % (201261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.72/3.53 % (201261)CaDiCaL version: 2.1.3
% 17.72/3.53 % (201261)Termination reason: Refutation
% 17.72/3.53 % (201261)Time elapsed: 0.274 s
% 17.72/3.53 % (201261)Peak memory usage: 137 MB
% 17.72/3.53 % (201261)Instructions burned: 199 (million)
% 17.72/3.53 % (201261)------------------------------
% 17.72/3.53 % (201261)------------------------------
% 17.72/3.53 % (201181)Success in time 2.454 s
% 17.72/3.53 % Vampire exiting
%------------------------------------------------------------------------------