%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP320_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 11:33:36 AM UTC 2026
% Result : Theorem 11.88s 2.96s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 0 typ; 4 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 24 |; 4 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 8 ( 0 atm; 0 fun; 8 num; 0 var)
% Number of types : 43 ( 40 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 23 usr; 5 prp; 0-3 aty)
% Number of functors : 218 ( 217 usr; 35 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'Rows_rows_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_8,type,
'Rows_rows_vec$': $tType ).
tff(type_def_9,type,
'Real_cols_vec_rows_vec$': $tType ).
tff(type_def_10,type,
'Rows_rows_vec_rows_vec$': $tType ).
tff(type_def_11,type,
'Rows$': $tType ).
tff(type_def_12,type,
'Int_rows_vec$': $tType ).
tff(type_def_13,type,
'Rows_a_cols_vec_fun$': $tType ).
tff(type_def_14,type,
'Int_rows_vec_rows_vec$': $tType ).
tff(type_def_15,type,
'Cols_cols_vec_rows_vec$': $tType ).
tff(type_def_16,type,
'Nat_nat_fun$': $tType ).
tff(type_def_17,type,
'Nat$': $tType ).
tff(type_def_18,type,
'Real_rows_vec$': $tType ).
tff(type_def_19,type,
'Rows_cols_vec_rows_vec$': $tType ).
tff(type_def_20,type,
'A_rows_vec$': $tType ).
tff(type_def_21,type,
'Cols_rows_vec$': $tType ).
tff(type_def_22,type,
tlbool: $tType ).
tff(type_def_23,type,
'Real_rows_vec_cols_vec$': $tType ).
tff(type_def_24,type,
'Rows_bool_fun$': $tType ).
tff(type_def_25,type,
'Int_cols_vec$': $tType ).
tff(type_def_26,type,
'A_cols_vec_rows_vec$': $tType ).
tff(type_def_27,type,
'Real_cols_vec$': $tType ).
tff(type_def_28,type,
'Rows_cols_vec$': $tType ).
tff(type_def_29,type,
'Nat_real_fun$': $tType ).
tff(type_def_30,type,
'A_cols_vec$': $tType ).
tff(type_def_31,type,
'A$': $tType ).
tff(type_def_32,type,
'Real_rows_vec_rows_vec$': $tType ).
tff(type_def_33,type,
'Cols_rows_vec_rows_vec$': $tType ).
tff(type_def_34,type,
'A_a_fun$': $tType ).
tff(type_def_35,type,
'Cols$': $tType ).
tff(type_def_36,type,
'Nat_rows_fun$': $tType ).
tff(type_def_37,type,
'A_rows_vec_rows_vec$': $tType ).
tff(type_def_38,type,
'Nat_bool_fun$': $tType ).
tff(type_def_39,type,
'Real_bool_fun$': $tType ).
tff(type_def_40,type,
'Cols_a_fun$': $tType ).
tff(type_def_41,type,
'Real_set$': $tType ).
tff(type_def_42,type,
'Nat_int_fun$': $tType ).
tff(type_def_43,type,
'Cols_cols_vec$': $tType ).
tff(type_def_44,type,
'Int_cols_vec_rows_vec$': $tType ).
tff(func_def_0,type,
'column$d': ( 'Rows$' * 'Cols_rows_vec_rows_vec$' ) > 'Cols_rows_vec$' ).
tff(func_def_1,type,
'one$e': 'Nat$' ).
tff(func_def_2,type,
'one$c': 'Rows$' ).
tff(func_def_3,type,
'column$b': ( 'Rows$' * 'Int_rows_vec_rows_vec$' ) > 'Int_rows_vec$' ).
tff(func_def_4,type,
'zero$k': 'Nat$' ).
tff(func_def_5,type,
'vec_nth$c': ( 'Real_rows_vec_rows_vec$' * 'Rows$' ) > 'Real_rows_vec$' ).
tff(func_def_6,type,
'column$h': ( 'Cols$' * 'Rows_cols_vec_rows_vec$' ) > 'Rows_rows_vec$' ).
tff(func_def_7,type,
'column$': ( 'Cols$' * 'A_cols_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_8,type,
'fun_app$d': ( 'Rows_rows_bool_fun_fun$' * 'Rows$' ) > 'Rows_bool_fun$' ).
tff(func_def_9,type,
'axis$': ( 'Cols$' * 'A$' ) > 'A_cols_vec$' ).
tff(func_def_10,type,
'vec_nth$b': ( 'Real_rows_vec$' * 'Rows$' ) > $real ).
tff(func_def_11,type,
'vec_nth$s': ( 'Cols_cols_vec_rows_vec$' * 'Rows$' ) > 'Cols_cols_vec$' ).
tff(func_def_12,type,
'one$a': 'A$' ).
tff(func_def_13,type,
'vec_nth$e': ( 'Int_rows_vec_rows_vec$' * 'Rows$' ) > 'Int_rows_vec$' ).
tff(func_def_14,type,
'vec_nth$': 'A_cols_vec$' > 'Cols_a_fun$' ).
tff(func_def_15,type,
'vec_nth$n': ( 'Int_cols_vec$' * 'Cols$' ) > $int ).
tff(func_def_16,type,
'to_nat$a': 'Rows$' > 'Nat$' ).
tff(func_def_17,type,
'dbl_inc$b': 'Rows$' > 'Rows$' ).
tff(func_def_18,type,
'zero$h': 'Real_cols_vec$' ).
tff(func_def_19,type,
'less$a': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_20,type,
'zero$b': 'A_rows_vec$' ).
tff(func_def_21,type,
'arcosh$': $real > $real ).
tff(func_def_22,type,
'column$f': ( 'Cols$' * 'Real_cols_vec_rows_vec$' ) > 'Real_rows_vec$' ).
tff(func_def_23,type,
'fun_app$l': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_24,type,
'power$b': $real > 'Nat_real_fun$' ).
tff(func_def_25,type,
'less_eq$a': 'Rows_rows_bool_fun_fun$' ).
tff(func_def_26,type,
'vec_nth$k': ( 'A_rows_vec_rows_vec$' * 'Rows$' ) > 'A_rows_vec$' ).
tff(func_def_27,type,
'zero$': 'Rows$' ).
tff(func_def_28,type,
'column$a': ( 'Rows$' * 'Real_rows_vec_rows_vec$' ) > 'Real_rows_vec$' ).
tff(func_def_29,type,
'fun_app$e': ( 'Cols_a_fun$' * 'Cols$' ) > 'A$' ).
tff(func_def_30,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_31,type,
'dbl_inc$a': $int > $int ).
tff(func_def_32,type,
'vec_nth$o': ( 'Int_cols_vec_rows_vec$' * 'Rows$' ) > 'Int_cols_vec$' ).
tff(func_def_33,type,
'zero$e': 'Int_rows_vec$' ).
tff(func_def_34,type,
'dbl_inc$c': 'Cols$' > 'Cols$' ).
tff(func_def_35,type,
'column$g': ( 'Cols$' * 'Int_cols_vec_rows_vec$' ) > 'Int_rows_vec$' ).
tff(func_def_36,type,
'column$j': ( 'Rows$' * 'Real_rows_vec_cols_vec$' ) > 'Real_cols_vec$' ).
tff(func_def_37,type,
'of_nat$a': 'Nat_real_fun$' ).
tff(func_def_38,type,
tltrue: tlbool ).
tff(func_def_39,type,
'dbl_inc$': $real > $real ).
tff(func_def_40,type,
'ncols$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_41,type,
'vec_nth$g': ( 'Rows_rows_vec_rows_vec$' * 'Rows$' ) > 'Rows_rows_vec$' ).
tff(func_def_42,type,
'to_nat$': 'Cols$' > 'Nat$' ).
tff(func_def_43,type,
'one$d': 'Cols$' ).
tff(func_def_44,type,
'uu$': 'Real_set$' > 'Real_bool_fun$' ).
tff(func_def_45,type,
'a$': 'A_cols_vec_rows_vec$' ).
tff(func_def_46,type,
'fun_app$f': ( 'Rows_a_cols_vec_fun$' * 'Rows$' ) > 'A_cols_vec$' ).
tff(func_def_47,type,
'artanh$': $real > $real ).
tff(func_def_48,type,
'powr$': ( $real * $real ) > $real ).
tff(func_def_49,type,
'vec_nth$t': ( 'Real_rows_vec_cols_vec$' * 'Cols$' ) > 'Real_rows_vec$' ).
tff(func_def_50,type,
'vec$': 'A$' > 'A_cols_vec$' ).
tff(func_def_51,type,
'zero$d': 'Real_rows_vec$' ).
tff(func_def_52,type,
'vec_nth$l': ( 'Real_cols_vec$' * 'Cols$' ) > $real ).
tff(func_def_53,type,
'uub$': $real > 'Real_bool_fun$' ).
tff(func_def_54,type,
'one$b': 'A_cols_vec_rows_vec$' ).
tff(func_def_55,type,
'zero$a': 'Cols$' ).
tff(func_def_56,type,
'power$a': $int > 'Nat_int_fun$' ).
tff(func_def_57,type,
'vec_nth$p': ( 'Rows_cols_vec$' * 'Cols$' ) > 'Rows$' ).
tff(func_def_58,type,
'uminus$a': 'Cols$' > 'Cols$' ).
tff(func_def_59,type,
'zero$j': 'A_cols_vec_rows_vec$' ).
tff(func_def_60,type,
'fun_app$i': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).
tff(func_def_61,type,
'vec_nth$r': ( 'Cols_cols_vec$' * 'Cols$' ) > 'Cols$' ).
tff(func_def_62,type,
'column$e': ( 'Rows$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_63,type,
'map_matrix$': ( 'A_a_fun$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_64,type,
'from_nat$': 'Nat_rows_fun$' ).
tff(func_def_65,type,
'of_nat$b': 'Nat_nat_fun$' ).
tff(func_def_66,type,
'from_nat$a': 'Nat$' > 'Cols$' ).
tff(func_def_67,type,
'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_68,type,
'fun_app$g': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_69,type,
'vec_nth$a': 'A_cols_vec_rows_vec$' > 'Rows_a_cols_vec_fun$' ).
tff(func_def_70,type,
'fun_app$j': ( 'Nat_rows_fun$' * 'Nat$' ) > 'Rows$' ).
tff(func_def_71,type,
'less_eq$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_72,type,
'zero$f': 'Rows_rows_vec$' ).
tff(func_def_73,type,
'zero$c': 'A$' ).
tff(func_def_74,type,
'vec_nth$m': ( 'Real_cols_vec_rows_vec$' * 'Rows$' ) > 'Real_cols_vec$' ).
tff(func_def_75,type,
'i$': 'Rows$' ).
tff(func_def_76,type,
tlfalse: tlbool ).
tff(func_def_77,type,
'nat$': $int > 'Nat$' ).
tff(func_def_78,type,
'arsinh$': $real > $real ).
tff(func_def_79,type,
'less$': 'Rows_rows_bool_fun_fun$' ).
tff(func_def_80,type,
'vec_nth$i': ( 'Cols_rows_vec_rows_vec$' * 'Rows$' ) > 'Cols_rows_vec$' ).
tff(func_def_81,type,
'vec$a': 'A_cols_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_82,type,
'column$c': ( 'Rows$' * 'Rows_rows_vec_rows_vec$' ) > 'Rows_rows_vec$' ).
tff(func_def_83,type,
'uua$': $int > 'Int_bool_fun$' ).
tff(func_def_84,type,
'zero$g': 'Cols_rows_vec$' ).
tff(func_def_85,type,
'axis$a': ( 'Rows$' * 'A_cols_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_86,type,
'zero$i': 'A_cols_vec$' ).
tff(func_def_87,type,
'fun_app$k': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_88,type,
'reduced_row_echelon_form_upt_k$': 'A_cols_vec_rows_vec$' > 'Nat_bool_fun$' ).
tff(func_def_89,type,
'vec_nth$j': ( 'A_rows_vec$' * 'Rows$' ) > 'A$' ).
tff(func_def_90,type,
'vec_nth$d': ( 'Int_rows_vec$' * 'Rows$' ) > $int ).
tff(func_def_91,type,
'vec_nth$q': ( 'Rows_cols_vec_rows_vec$' * 'Rows$' ) > 'Rows_cols_vec$' ).
tff(func_def_92,type,
'vec_nth$h': ( 'Cols_rows_vec$' * 'Rows$' ) > 'Cols$' ).
tff(func_def_93,type,
'column$i': ( 'Cols$' * 'Cols_cols_vec_rows_vec$' ) > 'Cols_rows_vec$' ).
tff(func_def_94,type,
'vec_nth$f': ( 'Rows_rows_vec$' * 'Rows$' ) > 'Rows$' ).
tff(func_def_95,type,
'ln$': $real > $real ).
tff(func_def_96,type,
'collect$': 'Real_bool_fun$' > 'Real_set$' ).
tff(func_def_97,type,
'power$': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_98,type,
'uminus$': 'Rows$' > 'Rows$' ).
tff(func_def_99,type,
'one$': 'A_cols_vec$' ).
tff(func_def_107,type,
sK0: ( 'Rows$' * 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_108,type,
sK1: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_109,type,
sK2: $int > 'Nat$' ).
tff(func_def_110,type,
sK3: 'Nat$' > 'Nat$' ).
tff(func_def_111,type,
sK4: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_112,type,
sK5: $int > 'Nat$' ).
tff(func_def_113,type,
sK6: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_114,type,
sK7: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_115,type,
sK8: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_116,type,
sK9: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_117,type,
sK10: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_118,type,
sK11: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_119,type,
sK12: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_120,type,
sK13: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_121,type,
sK14: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_122,type,
sK15: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_123,type,
sK16: 'Real_set$' > $real ).
tff(func_def_124,type,
sK17: ( 'Real_set$' * $real ) > $real ).
tff(func_def_125,type,
sK18: ( 'Real_set$' * $real ) > $real ).
tff(func_def_126,type,
sK19: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_127,type,
sK20: 'Nat$' > 'Nat$' ).
tff(func_def_128,type,
sK21: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_129,type,
sK22: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_130,type,
sK23: ( 'A_cols_vec$' * 'A_cols_vec$' ) > 'Cols$' ).
tff(func_def_131,type,
sK24: ( 'A_cols_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_132,type,
sK25: $int > 'Nat$' ).
tff(func_def_133,type,
sK26: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_134,type,
sK27: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_135,type,
sK28: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK29: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_137,type,
sK30: ( 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_138,type,
sK31: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_139,type,
sK32: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_140,type,
sK33: 'Int_bool_fun$' > 'Nat$' ).
tff(func_def_141,type,
sK34: 'Int_bool_fun$' > 'Nat$' ).
tff(func_def_142,type,
sK35: $int > 'Nat$' ).
tff(func_def_143,type,
sK36: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_144,type,
sK37: ( 'Nat$' * $real ) > $real ).
tff(func_def_145,type,
sK38: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_146,type,
sK39: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_147,type,
sK40: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_148,type,
sK41: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_149,type,
sK42: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_150,type,
sK43: ( $real * $real ) > 'Nat$' ).
tff(func_def_151,type,
sK44: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_152,type,
sK45: 'Nat$' > 'Nat$' ).
tff(func_def_153,type,
sK46: $int > 'Nat$' ).
tff(func_def_154,type,
sK47: $int > 'Nat$' ).
tff(func_def_155,type,
sK48: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_156,type,
sK49: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_157,type,
sK50: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_158,type,
sK51: ( $real * $real ) > $real ).
tff(func_def_159,type,
sK52: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK53: 'Nat$' > 'Nat$' ).
tff(func_def_161,type,
sK54: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_162,type,
sK55: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_163,type,
sK56: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_164,type,
sK57: ( $real * 'Nat$' ) > $real ).
tff(func_def_165,type,
sK58: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_166,type,
sK59: ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_167,type,
sK60: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_168,type,
sK61: $int > 'Nat$' ).
tff(func_def_169,type,
sK62: $int > 'Nat$' ).
tff(func_def_170,type,
sK63: $int > 'Nat$' ).
tff(func_def_171,type,
sK64: $int > 'Nat$' ).
tff(func_def_172,type,
sK65: 'Nat_bool_fun$' > $int ).
tff(func_def_173,type,
sK66: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_174,type,
sK67: ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_175,type,
sK68: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_176,type,
sK69: 'Nat$' > 'Nat$' ).
tff(func_def_177,type,
sK70: 'Rows$' ).
tff(func_def_178,type,
sK71: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_179,type,
sK72: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_180,type,
sK73: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_181,type,
sK74: ( 'Nat_real_fun$' * 'Nat$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_182,type,
sK75: ( 'Nat$' * 'Nat_real_fun$' ) > 'Nat$' ).
tff(func_def_183,type,
sK76: $int > 'Nat$' ).
tff(func_def_184,type,
sK77: $int > 'Nat$' ).
tff(func_def_185,type,
sK78: ( 'Nat$' * $real ) > $real ).
tff(func_def_186,type,
sK79: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_187,type,
sK80: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_188,type,
sK81: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_189,type,
sK82: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_190,type,
sK83: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_191,type,
sK84: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_192,type,
sK85: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_193,type,
sK86: 'Nat$' > 'Nat$' ).
tff(func_def_194,type,
sK87: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_195,type,
sK88: $real > 'Nat$' ).
tff(func_def_196,type,
sK89: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_197,type,
sK90: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_198,type,
sK91: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_199,type,
sK92: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_200,type,
sK93: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_201,type,
sK94: ( 'Rows_bool_fun$' * 'Rows$' ) > 'Rows$' ).
tff(func_def_202,type,
sK95: $real > 'Nat$' ).
tff(func_def_203,type,
sK96: $int > 'Nat$' ).
tff(func_def_204,type,
sK97: ( 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_205,type,
sK98: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_206,type,
sK99: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_207,type,
sK100: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_208,type,
sK101: $int > 'Nat$' ).
tff(func_def_209,type,
sK102: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_210,type,
sK103: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_211,type,
sK104: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_212,type,
sK105: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_213,type,
sK106: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_214,type,
sK107: 'Nat_bool_fun$' > $int ).
tff(func_def_215,type,
sK108: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_216,type,
sK109: ( $real * $real ) > 'Nat$' ).
tff(func_def_217,type,
sK110: $int > 'Nat$' ).
tff(func_def_218,type,
sK111: ( 'Nat_bool_fun$' * $int ) > 'Nat$' ).
tff(func_def_219,type,
sK112: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_220,type,
sK113: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_224,type,
'$inst115': $int ).
tff(func_def_225,type,
'$inst116': $real ).
tff(func_def_227,type,
'$inst117': $int ).
tff(pred_def_1,type,
'reduced_row_echelon_form$f': 'Real_cols_vec_rows_vec$' > $o ).
tff(pred_def_2,type,
'reduced_row_echelon_form$g': 'Int_cols_vec_rows_vec$' > $o ).
tff(pred_def_3,type,
'is_zero_row_upt_k$': ( 'Rows$' * 'Nat$' * 'A_cols_vec_rows_vec$' ) > $o ).
tff(pred_def_4,type,
'fun_app$c': ( 'Rows_bool_fun$' * 'Rows$' ) > $o ).
tff(pred_def_5,type,
'fun_app$a': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_6,type,
'reduced_row_echelon_form$e': 'A_rows_vec_rows_vec$' > $o ).
tff(pred_def_7,type,
'fun_app$': ( 'Real_bool_fun$' * $real ) > $o ).
tff(pred_def_8,type,
'reduced_row_echelon_form$h': 'Rows_cols_vec_rows_vec$' > $o ).
tff(pred_def_9,type,
'is_zero_row$': ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > $o ).
tff(pred_def_10,type,
'fun_app$b': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_11,type,
'reduced_row_echelon_form$j': 'Real_rows_vec_cols_vec$' > $o ).
tff(pred_def_12,type,
'less_eq$b': ( 'Cols$' * 'Cols$' ) > $o ).
tff(pred_def_13,type,
'member$': ( $real * 'Real_set$' ) > $o ).
tff(pred_def_14,type,
'reduced_row_echelon_form$': 'A_cols_vec_rows_vec$' > $o ).
tff(pred_def_15,type,
'reduced_row_echelon_form$b': 'Int_rows_vec_rows_vec$' > $o ).
tff(pred_def_16,type,
'reduced_row_echelon_form$i': 'Cols_cols_vec_rows_vec$' > $o ).
tff(pred_def_17,type,
'reduced_row_echelon_form$a': 'Real_rows_vec_rows_vec$' > $o ).
tff(pred_def_18,type,
'reduced_row_echelon_form$d': 'Cols_rows_vec_rows_vec$' > $o ).
tff(pred_def_19,type,
'reduced_row_echelon_form$c': 'Rows_rows_vec_rows_vec$' > $o ).
tff(f4,conjecture,
~ 'reduced_row_echelon_form$'('a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture3) ).
tff(f5,negated_conjecture,
~ ~ 'reduced_row_echelon_form$'('a$'),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,axiom,
~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
tff(f7,axiom,
'is_zero_row_upt_k$'('zero$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(f9,axiom,
! [X1: 'Nat$',X0: 'A_cols_vec_rows_vec$'] :
( 'reduced_row_echelon_form$'(X0)
=> 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(f10,axiom,
'fun_app$c'('fun_app$d'('less$','zero$'),'i$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(f22,axiom,
! [X3: 'Rows$',X1: 'Nat$',X2: 'Rows$',X0: 'A_cols_vec_rows_vec$'] :
( ( 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
& 'is_zero_row_upt_k$'(X2,X1,X0)
& 'fun_app$c'('fun_app$d'('less$',X2),X3) )
=> 'is_zero_row_upt_k$'(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom20) ).
tff(f922,plain,
'reduced_row_echelon_form$'('a$'),
inference(flattening,[],[f5]) ).
tff(f1069,plain,
! [X2: 'Rows$',X1: 'Nat$',X0: 'Rows$',X3: 'A_cols_vec_rows_vec$'] :
( ( 'fun_app$c'('fun_app$d'('less$',X2),X0)
& 'is_zero_row_upt_k$'(X2,X1,X3)
& 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X3),X1) )
=> 'is_zero_row_upt_k$'(X0,X1,X3) ),
inference(rectify,[],[f22]) ).
tff(f1361,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( ~ 'reduced_row_echelon_form$'(X0)
| 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1) ),
inference(ennf_transformation,[],[f9]) ).
tff(f1423,plain,
! [X2: 'Rows$',X1: 'Nat$',X0: 'Rows$',X3: 'A_cols_vec_rows_vec$'] :
( 'is_zero_row_upt_k$'(X0,X1,X3)
| ~ 'fun_app$c'('fun_app$d'('less$',X2),X0)
| ~ 'is_zero_row_upt_k$'(X2,X1,X3)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X3),X1) ),
inference(ennf_transformation,[],[f1069]) ).
tff(f1424,plain,
! [X3: 'A_cols_vec_rows_vec$',X2: 'Rows$',X1: 'Nat$',X0: 'Rows$'] :
( ~ 'is_zero_row_upt_k$'(X2,X1,X3)
| ~ 'fun_app$c'('fun_app$d'('less$',X2),X0)
| 'is_zero_row_upt_k$'(X0,X1,X3)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X3),X1) ),
inference(flattening,[],[f1423]) ).
tff(f1833,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Rows$',X2: 'Nat$',X3: 'Rows$'] :
( ~ 'is_zero_row_upt_k$'(X1,X2,X0)
| ~ 'fun_app$c'('fun_app$d'('less$',X1),X3)
| 'is_zero_row_upt_k$'(X3,X2,X0)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X2) ),
inference(rectify,[],[f1424]) ).
tff(f2244,plain,
'is_zero_row_upt_k$'('zero$','nat$'(1),'a$'),
inference(cnf_transformation,[],[f7]) ).
tff(f2364,plain,
'reduced_row_echelon_form$'('a$'),
inference(cnf_transformation,[],[f922]) ).
tff(f2380,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
| ~ 'reduced_row_echelon_form$'(X0) ),
inference(cnf_transformation,[],[f1361]) ).
tff(f2508,plain,
'fun_app$c'('fun_app$d'('less$','zero$'),'i$'),
inference(cnf_transformation,[],[f10]) ).
tff(f2652,plain,
! [X2: 'Nat$',X3: 'Rows$',X0: 'A_cols_vec_rows_vec$',X1: 'Rows$'] :
( ~ 'fun_app$c'('fun_app$d'('less$',X1),X3)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X2)
| ~ 'is_zero_row_upt_k$'(X1,X2,X0)
| 'is_zero_row_upt_k$'(X3,X2,X0) ),
inference(cnf_transformation,[],[f1833]) ).
tff(f2895,plain,
~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$'),
inference(cnf_transformation,[],[f6]) ).
tff(f3128,definition,
( spl114_3
<=> 'reduced_row_echelon_form$'('a$') ),
introduced(definition,[new_symbols(definition,[spl114_3])],[avatar_definition]) ).
tff(f3130,plain,
( 'reduced_row_echelon_form$'('a$')
| ~ spl114_3 ),
inference(avatar_component_clause,[],[f3128]) ).
tff(f3131,plain,
spl114_3,
inference(avatar_split_clause,[],[f2364,f3128]) ).
tff(f3138,definition,
( spl114_5
<=> 'is_zero_row_upt_k$'('zero$','nat$'(1),'a$') ),
introduced(definition,[new_symbols(definition,[spl114_5])],[avatar_definition]) ).
tff(f3140,plain,
( 'is_zero_row_upt_k$'('zero$','nat$'(1),'a$')
| ~ spl114_5 ),
inference(avatar_component_clause,[],[f3138]) ).
tff(f3141,plain,
spl114_5,
inference(avatar_split_clause,[],[f2244,f3138]) ).
tff(f3220,definition,
( spl114_21
<=> 'is_zero_row_upt_k$'('i$','nat$'(1),'a$') ),
introduced(definition,[new_symbols(definition,[spl114_21])],[avatar_definition]) ).
tff(f3222,plain,
( ~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$')
| spl114_21 ),
inference(avatar_component_clause,[],[f3220]) ).
tff(f3223,plain,
~ spl114_21,
inference(avatar_split_clause,[],[f2895,f3220]) ).
tff(f3269,definition,
( spl114_30
<=> 'fun_app$c'('fun_app$d'('less$','zero$'),'i$') ),
introduced(definition,[new_symbols(definition,[spl114_30])],[avatar_definition]) ).
tff(f3272,plain,
spl114_30,
inference(avatar_split_clause,[],[f2508,f3269]) ).
tff(f3274,plain,
( ! [X0: 'Nat$'] : 'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),X0)
| ~ spl114_3 ),
inference(unit_resulting_resolution,[],[f2380,f3130]) ).
tff(f4630,plain,
( ~ 'fun_app$c'('fun_app$d'('less$','zero$'),'i$')
| ~ spl114_3
| ~ spl114_5
| spl114_21 ),
inference(unit_resulting_resolution,[],[f2652,f3222,f3140,f3274]) ).
tff(f4650,plain,
( ~ spl114_30
| ~ spl114_3
| ~ spl114_5
| spl114_21 ),
inference(avatar_split_clause,[],[f4630,f3220,f3138,f3128,f3269]) ).
tff(f4656,plain,
$false,
inference(avatar_smt_refutation,[],[f4650,f3272,f3223,f3141,f3131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP320_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 12:53:51 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.38/1.43 % (198787)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.38/1.43 % (198879)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=56173368:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.38/1.43 % (198879)Instruction limit reached!
% 3.38/1.43 % (198879)------------------------------
% 3.38/1.43 % (198879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.43 % (198879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.43 % (198879)CaDiCaL version: 2.1.3
% 3.38/1.43 % (198879)Termination reason: Instruction limit
% 3.38/1.43 % (198879)Termination phase: Property scanning
% 3.38/1.43 % (198879)Time elapsed: 0.003 s
% 3.38/1.43 % (198879)Peak memory usage: 86 MB
% 3.38/1.43 % (198879)Instructions burned: 10 (million)
% 3.38/1.43 % (198878)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3661650721:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.38/1.43 % (198877)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=176391953:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.38/1.43 % (198876)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3992943977:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.38/1.43 % (198882)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1908098085:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.38/1.43 % (198880)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1975842857:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.38/1.43 % (198880)Instruction limit reached!
% 3.38/1.43 % (198880)------------------------------
% 3.38/1.43 % (198880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.43 % (198880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.43 % (198880)CaDiCaL version: 2.1.3
% 3.38/1.43 % (198880)Termination reason: Instruction limit
% 3.38/1.43 % (198880)Termination phase: Property scanning
% 3.38/1.43 % (198880)Time elapsed: 0.003 s
% 3.38/1.43 % (198880)Peak memory usage: 85 MB
% 3.38/1.43 % (198880)Instructions burned: 5 (million)
% 3.38/1.43 % (198876)Instruction limit reached!
% 3.38/1.43 % (198876)------------------------------
% 3.38/1.43 % (198876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.43 % (198876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.43 % (198876)CaDiCaL version: 2.1.3
% 3.38/1.43 % (198876)Termination reason: Instruction limit
% 3.38/1.43 % (198876)Termination phase: Property scanning
% 3.38/1.43 % (198876)Time elapsed: 0.007 s
% 3.38/1.43 % (198876)Peak memory usage: 85 MB
% 3.38/1.43 % (198876)Instructions burned: 12 (million)
% 3.38/1.43 % (198882)Instruction limit reached!
% 3.38/1.43 % (198882)------------------------------
% 3.38/1.43 % (198882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.43 % (198882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.43 % (198882)CaDiCaL version: 2.1.3
% 3.38/1.43 % (198882)Termination reason: Instruction limit
% 3.38/1.43 % (198882)Termination phase: Property scanning
% 3.38/1.43 % (198882)Time elapsed: 0.020 s
% 3.38/1.43 % (198882)Peak memory usage: 88 MB
% 3.38/1.43 % (198882)Instructions burned: 34 (million)
% 3.38/1.43 % (198881)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1551407920:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.38/1.43 % (198881)Instruction limit reached!
% 3.38/1.43 % (198881)------------------------------
% 3.38/1.43 % (198881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.43 % (198881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.43 % (198881)CaDiCaL version: 2.1.3
% 3.38/1.43 % (198881)Termination reason: Instruction limit
% 3.38/1.43 % (198881)Termination phase: Property scanning
% 3.38/1.43 % (198881)Time elapsed: 0.044 s
% 3.38/1.43 % (198881)Peak memory usage: 88 MB
% 3.38/1.43 % (198881)Instructions burned: 46 (million)
% 3.38/1.43 % (198897)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4112921057:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.38/1.43 % (198897)Instruction limit reached!
% 3.38/1.43 % (198897)------------------------------
% 3.38/1.43 % (198897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198897)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198897)Termination reason: Instruction limit
% 4.59/1.62 % (198897)Termination phase: Preprocessing 1
% 4.59/1.62 % (198897)Time elapsed: 0.005 s
% 4.59/1.62 % (198897)Peak memory usage: 86 MB
% 4.59/1.62 % (198897)Instructions burned: 16 (million)
% 4.59/1.62 % (198904)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=942509256:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.59/1.62 % (198903)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=1492159491:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.59/1.62 % (198904)Instruction limit reached!
% 4.59/1.62 % (198904)------------------------------
% 4.59/1.62 % (198904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198904)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198904)Termination reason: Instruction limit
% 4.59/1.62 % (198904)Termination phase: Preprocessing 3
% 4.59/1.62 % (198904)Time elapsed: 0.010 s
% 4.59/1.62 % (198904)Peak memory usage: 87 MB
% 4.59/1.62 % (198904)Instructions burned: 17 (million)
% 4.59/1.62 % (198903)Instruction limit reached!
% 4.59/1.62 % (198903)------------------------------
% 4.59/1.62 % (198903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198903)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198903)Termination reason: Instruction limit
% 4.59/1.62 % (198903)Termination phase: Preprocessing 3
% 4.59/1.62 % (198903)Time elapsed: 0.016 s
% 4.59/1.62 % (198903)Peak memory usage: 87 MB
% 4.59/1.62 % (198903)Instructions burned: 29 (million)
% 4.59/1.62 % (198878)Instruction limit reached!
% 4.59/1.62 % (198878)------------------------------
% 4.59/1.62 % (198878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198878)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198878)Termination reason: Instruction limit
% 4.59/1.62 % (198878)Termination phase: Saturation
% 4.59/1.62 % (198878)Time elapsed: 0.160 s
% 4.59/1.62 % (198878)Peak memory usage: 118 MB
% 4.59/1.62 % (198878)Instructions burned: 201 (million)
% 4.59/1.62 % (198905)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3000065713:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.59/1.62 % (198905)Instruction limit reached!
% 4.59/1.62 % (198905)------------------------------
% 4.59/1.62 % (198905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198905)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198905)Termination reason: Instruction limit
% 4.59/1.62 % (198905)Termination phase: Preprocessing 3
% 4.59/1.62 % (198905)Time elapsed: 0.014 s
% 4.59/1.62 % (198905)Peak memory usage: 87 MB
% 4.59/1.62 % (198905)Instructions burned: 25 (million)
% 4.59/1.62 % (198909)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1695147902:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.59/1.62 % (198877)Instruction limit reached!
% 4.59/1.62 % (198877)------------------------------
% 4.59/1.62 % (198877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.62 % (198877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.62 % (198877)CaDiCaL version: 2.1.3
% 4.59/1.62 % (198877)Termination reason: Instruction limit
% 4.59/1.62 % (198877)Termination phase: Saturation
% 4.59/1.62 % (198877)Time elapsed: 0.216 s
% 4.59/1.62 % (198877)Peak memory usage: 118 MB
% 4.59/1.62 % (198877)Instructions burned: 307 (million)
% 4.59/1.62 % (198907)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=3420174139:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.59/1.62 % (198909)Instruction limit reached!
% 4.59/1.62 % (198909)------------------------------
% 4.59/1.62 % (198909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198909)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198909)Termination reason: Instruction limit
% 5.82/1.88 % (198909)Termination phase: Saturation
% 5.82/1.88 % (198909)Time elapsed: 0.023 s
% 5.82/1.88 % (198909)Peak memory usage: 90 MB
% 5.82/1.88 % (198909)Instructions burned: 86 (million)
% 5.82/1.88 % (198907)Instruction limit reached!
% 5.82/1.88 % (198907)------------------------------
% 5.82/1.88 % (198907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198907)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198907)Termination reason: Instruction limit
% 5.82/1.88 % (198907)Termination phase: Preprocessing 3
% 5.82/1.88 % (198907)Time elapsed: 0.015 s
% 5.82/1.88 % (198907)Peak memory usage: 87 MB
% 5.82/1.88 % (198907)Instructions burned: 27 (million)
% 5.82/1.88 % (198912)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4190352952:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.82/1.88 % (198912)Instruction limit reached!
% 5.82/1.88 % (198912)------------------------------
% 5.82/1.88 % (198912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198912)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198912)Termination reason: Instruction limit
% 5.82/1.88 % (198912)Termination phase: shuffling
% 5.82/1.88 % (198912)Time elapsed: 0.002 s
% 5.82/1.88 % (198912)Peak memory usage: 85 MB
% 5.82/1.88 % (198912)Instructions burned: 2 (million)
% 5.82/1.88 % (198914)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=396217933:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.82/1.88 % (198915)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3071745499:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.82/1.88 % (198915)Instruction limit reached!
% 5.82/1.88 % (198915)------------------------------
% 5.82/1.88 % (198915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198915)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198915)Termination reason: Instruction limit
% 5.82/1.88 % (198915)Termination phase: Property scanning
% 5.82/1.88 % (198915)Time elapsed: 0.003 s
% 5.82/1.88 % (198915)Peak memory usage: 85 MB
% 5.82/1.88 % (198915)Instructions burned: 5 (million)
% 5.82/1.88 % (198916)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=219788099:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.82/1.88 % (198920)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=1991272095:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.82/1.88 % (198919)lrs+10_1_thi=all:si=on:fd=off:random_seed=3466943719:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.82/1.88 % (198920)Instruction limit reached!
% 5.82/1.88 % (198920)------------------------------
% 5.82/1.88 % (198920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198920)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198920)Termination reason: Instruction limit
% 5.82/1.88 % (198920)Termination phase: shuffling
% 5.82/1.88 % (198920)Time elapsed: 0.002 s
% 5.82/1.88 % (198920)Peak memory usage: 86 MB
% 5.82/1.88 % (198920)Instructions burned: 9 (million)
% 5.82/1.88 % (198919)Instruction limit reached!
% 5.82/1.88 % (198919)------------------------------
% 5.82/1.88 % (198919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.88 % (198919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.88 % (198919)CaDiCaL version: 2.1.3
% 5.82/1.88 % (198919)Termination reason: Instruction limit
% 5.82/1.88 % (198919)Termination phase: Property scanning
% 5.82/1.88 % (198919)Time elapsed: 0.028 s
% 5.82/1.88 % (198919)Peak memory usage: 87 MB
% 5.82/1.88 % (198919)Instructions burned: 54 (million)
% 5.82/1.88 % (198921)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2980818162:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 8.91/2.20 % (198921)Instruction limit reached!
% 8.91/2.20 % (198921)------------------------------
% 8.91/2.20 % (198921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198921)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198921)Termination reason: Instruction limit
% 8.91/2.20 % (198921)Termination phase: Property scanning
% 8.91/2.20 % (198921)Time elapsed: 0.002 s
% 8.91/2.20 % (198921)Peak memory usage: 86 MB
% 8.91/2.20 % (198921)Instructions burned: 3 (million)
% 8.91/2.20 % (198916)Instruction limit reached!
% 8.91/2.20 % (198916)------------------------------
% 8.91/2.20 % (198916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198916)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198916)Termination reason: Instruction limit
% 8.91/2.20 % (198916)Termination phase: Saturation
% 8.91/2.20 % (198916)Time elapsed: 0.076 s
% 8.91/2.20 % (198916)Peak memory usage: 130 MB
% 8.91/2.20 % (198916)Instructions burned: 66 (million)
% 8.91/2.20 % (198914)Instruction limit reached!
% 8.91/2.20 % (198914)------------------------------
% 8.91/2.20 % (198914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198914)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198914)Termination reason: Instruction limit
% 8.91/2.20 % (198914)Termination phase: Saturation
% 8.91/2.20 % (198914)Time elapsed: 0.121 s
% 8.91/2.20 % (198914)Peak memory usage: 91 MB
% 8.91/2.20 % (198914)Instructions burned: 181 (million)
% 8.91/2.20 % (198923)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1744367803:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 8.91/2.20 % (198923)Instruction limit reached!
% 8.91/2.20 % (198923)------------------------------
% 8.91/2.20 % (198923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198923)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198923)Termination reason: Instruction limit
% 8.91/2.20 % (198923)Termination phase: Property scanning
% 8.91/2.20 % (198923)Time elapsed: 0.002 s
% 8.91/2.20 % (198923)Peak memory usage: 85 MB
% 8.91/2.20 % (198923)Instructions burned: 2 (million)
% 8.91/2.20 % (198926)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=328702572:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 8.91/2.20 % (198930)dis+10_1_si=on:random_seed=1785520336:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 8.91/2.20 % (198930)Instruction limit reached!
% 8.91/2.20 % (198930)------------------------------
% 8.91/2.20 % (198930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198930)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198930)Termination reason: Instruction limit
% 8.91/2.20 % (198930)Termination phase: Property scanning
% 8.91/2.20 % (198930)Time elapsed: 0.003 s
% 8.91/2.20 % (198930)Peak memory usage: 86 MB
% 8.91/2.20 % (198930)Instructions burned: 13 (million)
% 8.91/2.20 % (198932)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2605427256:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 8.91/2.20 % (198932)Instruction limit reached!
% 8.91/2.20 % (198932)------------------------------
% 8.91/2.20 % (198932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.20 % (198932)CaDiCaL version: 2.1.3
% 8.91/2.20 % (198932)Termination reason: Instruction limit
% 8.91/2.20 % (198932)Termination phase: Preprocessing 3
% 8.91/2.20 % (198932)Time elapsed: 0.017 s
% 8.91/2.20 % (198932)Peak memory usage: 87 MB
% 8.91/2.20 % (198932)Instructions burned: 27 (million)
% 8.91/2.20 % (198933)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3074167627: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_2994 on theBenchmark for (2994ds/35Mi)
% 8.91/2.20 % (198926)Instruction limit reached!
% 8.91/2.20 % (198926)------------------------------
% 8.91/2.20 % (198926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.20 % (198926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.67 % (198926)CaDiCaL version: 2.1.3
% 10.04/2.67 % (198926)Termination reason: Instruction limit
% 10.04/2.67 % (198926)Termination phase: Saturation
% 10.04/2.67 % (198926)Time elapsed: 0.117 s
% 10.04/2.67 % (198926)Peak memory usage: 118 MB
% 10.04/2.67 % (198926)Instructions burned: 127 (million)
% 10.04/2.67 % (198933)Instruction limit reached!
% 10.04/2.67 % (198933)------------------------------
% 10.04/2.67 % (198933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.67 % (198933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.67 % (198933)CaDiCaL version: 2.1.3
% 10.04/2.67 % (198933)Termination reason: Instruction limit
% 10.04/2.67 % (198933)Termination phase: Property scanning
% 10.04/2.67 % (198933)Time elapsed: 0.021 s
% 10.04/2.67 % (198933)Peak memory usage: 87 MB
% 10.04/2.67 % (198933)Instructions burned: 35 (million)
% 10.04/2.67 % (198934)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3061931622:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 10.04/2.67 % (198934)Instruction limit reached!
% 10.04/2.67 % (198934)------------------------------
% 10.04/2.67 % (198934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.67 % (198934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.67 % (198934)CaDiCaL version: 2.1.3
% 10.04/2.67 % (198934)Termination reason: Instruction limit
% 10.04/2.67 % (198934)Termination phase: shuffling
% 10.04/2.67 % (198934)Time elapsed: 0.003 s
% 10.04/2.67 % (198934)Peak memory usage: 85 MB
% 10.04/2.67 % (198934)Instructions burned: 2 (million)
% 10.04/2.67 % (198935)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3821732643:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 10.04/2.67 % (198935)Instruction limit reached!
% 10.04/2.67 % (198935)------------------------------
% 10.04/2.67 % (198935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.67 % (198935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.67 % (198935)CaDiCaL version: 2.1.3
% 10.04/2.67 % (198935)Termination reason: Instruction limit
% 10.04/2.67 % (198935)Termination phase: Property scanning
% 10.04/2.67 % (198935)Time elapsed: 0.008 s
% 10.04/2.67 % (198935)Peak memory usage: 86 MB
% 10.04/2.67 % (198935)Instructions burned: 8 (million)
% 10.04/2.67 % (198937)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2265747254:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 10.04/2.67 % (198941)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=483586886:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 10.04/2.67 % (198941)Instruction limit reached!
% 10.04/2.67 % (198941)------------------------------
% 10.04/2.67 % (198941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.67 % (198941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.67 % (198941)CaDiCaL version: 2.1.3
% 10.04/2.67 % (198941)Termination reason: Instruction limit
% 10.04/2.67 % (198941)Termination phase: Property scanning
% 10.04/2.67 % (198941)Time elapsed: 0.007 s
% 10.04/2.67 % (198941)Peak memory usage: 85 MB
% 10.04/2.67 % (198941)Instructions burned: 15 (million)
% 10.04/2.67 % (198950)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3887847539:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 10.04/2.67 % (198953)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2637516356:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 10.04/2.67 % (198952)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=4012637749:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 10.04/2.67 % (198955)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=3251499079:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 10.04/2.67 % (198952)Instruction limit reached!
% 10.04/2.67 % (198952)------------------------------
% 10.04/2.67 % (198952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.67 % (198952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198952)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198952)Termination reason: Instruction limit
% 11.88/2.96 % (198952)Termination phase: Preprocessing 1
% 11.88/2.96 % (198952)Time elapsed: 0.010 s
% 11.88/2.96 % (198952)Peak memory usage: 86 MB
% 11.88/2.96 % (198952)Instructions burned: 10 (million)
% 11.88/2.96 % (198950)Refutation not found, incomplete strategy
% 11.88/2.96 % (198950)------------------------------
% 11.88/2.96 % (198950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198950)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198950)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.96 % (198950)Time elapsed: 0.070 s
% 11.88/2.96 % (198950)Peak memory usage: 113 MB
% 11.88/2.96 % (198950)Instructions burned: 46 (million)
% 11.88/2.96 % (198957)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=2635157118:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 11.88/2.96 % (198955)Instruction limit reached!
% 11.88/2.96 % (198955)------------------------------
% 11.88/2.96 % (198955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198955)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198955)Termination reason: Instruction limit
% 11.88/2.96 % (198955)Termination phase: Saturation
% 11.88/2.96 % (198955)Time elapsed: 0.040 s
% 11.88/2.96 % (198955)Peak memory usage: 90 MB
% 11.88/2.96 % (198955)Instructions burned: 76 (million)
% 11.88/2.96 % (198962)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1607429224:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 11.88/2.96 % (198953)Instruction limit reached!
% 11.88/2.96 % (198953)------------------------------
% 11.88/2.96 % (198953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198953)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198953)Termination reason: Instruction limit
% 11.88/2.96 % (198953)Termination phase: Saturation
% 11.88/2.96 % (198953)Time elapsed: 0.111 s
% 11.88/2.96 % (198953)Peak memory usage: 130 MB
% 11.88/2.96 % (198953)Instructions burned: 71 (million)
% 11.88/2.96 % (198937)Instruction limit reached!
% 11.88/2.96 % (198937)------------------------------
% 11.88/2.96 % (198937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198937)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198937)Termination reason: Instruction limit
% 11.88/2.96 % (198937)Termination phase: Saturation
% 11.88/2.96 % (198937)Time elapsed: 0.312 s
% 11.88/2.96 % (198937)Peak memory usage: 95 MB
% 11.88/2.96 % (198937)Instructions burned: 370 (million)
% 11.88/2.96 % (198962)Instruction limit reached!
% 11.88/2.96 % (198962)------------------------------
% 11.88/2.96 % (198962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198962)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198962)Termination reason: Instruction limit
% 11.88/2.96 % (198962)Termination phase: Saturation
% 11.88/2.96 % (198962)Time elapsed: 0.084 s
% 11.88/2.96 % (198962)Peak memory usage: 117 MB
% 11.88/2.96 % (198962)Instructions burned: 132 (million)
% 11.88/2.96 % (198980)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2780611133:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/40Mi)
% 11.88/2.96 % (198992)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2889306436:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/598Mi)
% 11.88/2.96 % (198980)Instruction limit reached!
% 11.88/2.96 % (198980)------------------------------
% 11.88/2.96 % (198980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198980)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198980)Termination reason: Instruction limit
% 11.88/2.96 % (198980)Termination phase: Preprocessing 3
% 11.88/2.96 % (198980)Time elapsed: 0.023 s
% 11.88/2.96 % (198980)Peak memory usage: 87 MB
% 11.88/2.96 % (198980)Instructions burned: 41 (million)
% 11.88/2.96 % (198978)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=8299848:i=131:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 11.88/2.96 % (198957)Instruction limit reached!
% 11.88/2.96 % (198957)------------------------------
% 11.88/2.96 % (198957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198957)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198957)Termination reason: Instruction limit
% 11.88/2.96 % (198957)Termination phase: Saturation
% 11.88/2.96 % (198957)Time elapsed: 0.301 s
% 11.88/2.96 % (198957)Peak memory usage: 92 MB
% 11.88/2.96 % (198957)Instructions burned: 294 (million)
% 11.88/2.96 % (198995)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=341042131:i=131:canc=cautious:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/131Mi)
% 11.88/2.96 % (198989)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1516078307:i=307:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/307Mi)
% 11.88/2.96 % (198950)------------------------------
% 11.88/2.96 % (198950)------------------------------
% 11.88/2.96 % (198995)Instruction limit reached!
% 11.88/2.96 % (198995)------------------------------
% 11.88/2.96 % (198995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198995)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198995)Termination reason: Instruction limit
% 11.88/2.96 % (198995)Termination phase: Saturation
% 11.88/2.96 % (198995)Time elapsed: 0.064 s
% 11.88/2.96 % (198995)Peak memory usage: 118 MB
% 11.88/2.96 % (198995)Instructions burned: 138 (million)
% 11.88/2.96 % (198989)Refutation not found, incomplete strategy
% 11.88/2.96 % (198989)------------------------------
% 11.88/2.96 % (198989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198989)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198989)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.96 % (198989)Time elapsed: 0.099 s
% 11.88/2.96 % (198989)Peak memory usage: 91 MB
% 11.88/2.96 % (198989)Instructions burned: 102 (million)
% 11.88/2.96 % (198978)Instruction limit reached!
% 11.88/2.96 % (198978)------------------------------
% 11.88/2.96 % (198978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (198978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (198978)CaDiCaL version: 2.1.3
% 11.88/2.96 % (198978)Termination reason: Instruction limit
% 11.88/2.96 % (198978)Termination phase: Saturation
% 11.88/2.96 % (198978)Time elapsed: 0.184 s
% 11.88/2.96 % (198978)Peak memory usage: 135 MB
% 11.88/2.96 % (198978)Instructions burned: 131 (million)
% 11.88/2.96 % (199009)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=3464893226:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2986 on theBenchmark for (2986ds/259Mi)
% 11.88/2.96 % (199019)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=124194338:i=141:doe=on:rtra=on_2985 on theBenchmark for (2985ds/141Mi)
% 11.88/2.96 % (199011)dis+10_1_si=on:random_seed=3525114557:s2a=on:i=1000:rtra=on:gtg=exists_all_2986 on theBenchmark for (2986ds/1000Mi)
% 11.88/2.96 % (199019)Instruction limit reached!
% 11.88/2.96 % (199019)------------------------------
% 11.88/2.96 % (199019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (199019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (199019)CaDiCaL version: 2.1.3
% 11.88/2.96 % (199019)Termination reason: Instruction limit
% 11.88/2.96 % (199019)Termination phase: Saturation
% 11.88/2.96 % (199019)Time elapsed: 0.068 s
% 11.88/2.96 % (199019)Peak memory usage: 91 MB
% 11.88/2.96 % (199019)Instructions burned: 142 (million)
% 11.88/2.96 % (198992)First to succeed.
% 11.88/2.96 % (198992)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-198787"
% 11.88/2.96 % (199018)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1311131526:i=383:fsr=off:rtra=on:ev=force_2985 on theBenchmark for (2985ds/383Mi)
% 11.88/2.96 % (199023)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=946306689:i=65:nm=16:rtra=on_2984 on theBenchmark for (2984ds/65Mi)
% 11.88/2.96 % (199037)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=380005497:i=121:nm=16:rtra=on_2983 on theBenchmark for (2983ds/121Mi)
% 11.88/2.96 % (199023)Instruction limit reached!
% 11.88/2.96 % (199023)------------------------------
% 11.88/2.96 % (199023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (199023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (199023)CaDiCaL version: 2.1.3
% 11.88/2.96 % (199023)Termination reason: Instruction limit
% 11.88/2.96 % (199023)Termination phase: Saturation
% 11.88/2.96 % (199023)Time elapsed: 0.059 s
% 11.88/2.96 % (199023)Peak memory usage: 90 MB
% 11.88/2.96 % (199023)Instructions burned: 65 (million)
% 11.88/2.96 % (198989)------------------------------
% 11.88/2.96 % (198989)------------------------------
% 11.88/2.96 % (199037)Instruction limit reached!
% 11.88/2.96 % (199037)------------------------------
% 11.88/2.96 % (199037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (199037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (199037)CaDiCaL version: 2.1.3
% 11.88/2.96 % (199037)Termination reason: Instruction limit
% 11.88/2.96 % (199037)Termination phase: Saturation
% 11.88/2.96 % (199037)Time elapsed: 0.057 s
% 11.88/2.96 % (199037)Peak memory usage: 91 MB
% 11.88/2.96 % (199037)Instructions burned: 123 (million)
% 11.88/2.96 % (199009)Instruction limit reached!
% 11.88/2.96 % (199009)------------------------------
% 11.88/2.96 % (199009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (199009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (199009)CaDiCaL version: 2.1.3
% 11.88/2.96 % (199009)Termination reason: Instruction limit
% 11.88/2.96 % (199009)Termination phase: Saturation
% 11.88/2.96 % (199009)Time elapsed: 0.287 s
% 11.88/2.96 % (199009)Peak memory usage: 118 MB
% 11.88/2.96 % (199009)Instructions burned: 259 (million)
% 11.88/2.96 % (199018)Instruction limit reached!
% 11.88/2.96 % (199018)------------------------------
% 11.88/2.96 % (199018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.96 % (199018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.96 % (199018)CaDiCaL version: 2.1.3
% 11.88/2.96 % (199018)Termination reason: Instruction limit
% 11.88/2.96 % (199018)Termination phase: Saturation
% 11.88/2.96 % (199018)Time elapsed: 0.361 s
% 11.88/2.96 % (199018)Peak memory usage: 94 MB
% 11.88/2.96 % (199018)Instructions burned: 383 (million)
% 11.88/2.96 % (199051)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=817847411:s2a=on:i=128:s2at=5:ins=3:rtra=on_2981 on theBenchmark for (2981ds/128Mi)
% 11.88/2.96 % (198992)Refutation found. Thanks to Tanya!
% 11.88/2.96 % SZS status Theorem for theBenchmark
% 11.88/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.30 % (198992)------------------------------
% 0.17/3.30 % (198992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.30 % (198992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.30 % (198992)CaDiCaL version: 2.1.3
% 0.17/3.30 % (198992)Termination reason: Refutation
% 0.17/3.30 % (198992)Time elapsed: 0.359 s
% 0.17/3.30 % (198992)Peak memory usage: 138 MB
% 0.17/3.30 % (198992)Instructions burned: 283 (million)
% 0.17/3.30 % (198992)------------------------------
% 0.17/3.30 % (198992)------------------------------
% 0.17/3.30 % (198787)Success in time 2.101 s
% 0.17/3.30 % Vampire exiting
%------------------------------------------------------------------------------