%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:21 AM UTC 2026
% Result : ContradictoryAxioms 6.18s 1.35s
% Output : Refutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 14 unt; 0 typ; 2 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 23 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 11 ( 0 atm; 0 fun; 11 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 : 59 ( 58 usr; 3 prp; 0-3 aty)
% Number of functors : 215 ( 214 usr; 32 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 25 :)
% 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_108,type,
sK37: 'Rows$' ).
tff(func_def_109,type,
sK38: ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_110,type,
sK39: ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_111,type,
sK40: ( 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_112,type,
sK41: ( 'A_cols_vec$' * 'A_cols_vec$' ) > 'Cols$' ).
tff(func_def_113,type,
sK42: ( 'A_cols_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_114,type,
sK43: ( $real * $real ) > $real ).
tff(func_def_115,type,
sK44: ( 'Rows$' * 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Cols$' ).
tff(func_def_116,type,
sK45: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_117,type,
sK46: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_118,type,
sK47: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_119,type,
sK48: $int > 'Nat$' ).
tff(func_def_120,type,
sK49: $int > 'Nat$' ).
tff(func_def_121,type,
sK50: $real > 'Nat$' ).
tff(func_def_122,type,
sK51: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_123,type,
sK52: 'Nat$' > 'Nat$' ).
tff(func_def_124,type,
sK53: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_125,type,
sK54: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_126,type,
sK55: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_127,type,
sK56: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_128,type,
sK57: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_129,type,
sK58: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_130,type,
sK59: 'Nat$' > 'Nat$' ).
tff(func_def_131,type,
sK60: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_132,type,
sK61: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_133,type,
sK62: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_134,type,
sK63: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_135,type,
sK64: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK65: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_137,type,
sK66: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_138,type,
sK67: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_139,type,
sK68: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_140,type,
sK69: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_141,type,
sK70: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_142,type,
sK71: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_143,type,
sK72: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_144,type,
sK73: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_145,type,
sK74: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_146,type,
sK75: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_147,type,
sK76: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_148,type,
sK77: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_149,type,
sK78: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_150,type,
sK79: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_151,type,
sK80: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_152,type,
sK81: 'Nat$' > 'Nat$' ).
tff(func_def_153,type,
sK82: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_154,type,
sK83: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_155,type,
sK84: 'Nat$' > 'Nat$' ).
tff(func_def_156,type,
sK85: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_157,type,
sK86: ( 'Nat$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_158,type,
sK87: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_159,type,
sK88: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK89: 'Nat_rows_fun$' > 'Nat$' ).
tff(func_def_161,type,
sK90: ( 'Nat$' * $real ) > $real ).
tff(func_def_162,type,
sK91: ( $real * 'Nat$' ) > $real ).
tff(func_def_163,type,
sK92: ( $real * $real ) > 'Nat$' ).
tff(func_def_164,type,
sK93: ( $real * $real ) > 'Nat$' ).
tff(func_def_165,type,
sK94: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_166,type,
sK95: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_167,type,
sK96: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_168,type,
sK97: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_169,type,
sK98: 'Rows_rows_bool_fun_fun$' > 'Rows$' ).
tff(func_def_170,type,
sK99: ( 'Rows_bool_fun$' * 'Rows$' ) > 'Rows$' ).
tff(func_def_171,type,
sK100: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_172,type,
sK101: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_173,type,
sK102: 'Rows_bool_fun$' > 'Rows$' ).
tff(func_def_174,type,
sK103: ( $real * 'Nat$' ) > $real ).
tff(func_def_175,type,
sK104: 'Nat$' > 'Nat$' ).
tff(func_def_176,type,
sK105: $int > 'Nat$' ).
tff(func_def_177,type,
sK106: 'Nat_bool_fun$' > $int ).
tff(func_def_178,type,
sK107: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_179,type,
sK108: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_180,type,
sK109: 'Nat_bool_fun$' > $int ).
tff(func_def_181,type,
sK110: $int > 'Nat$' ).
tff(func_def_182,type,
sK111: $real > 'Nat$' ).
tff(func_def_183,type,
sK112: 'Nat$' > 'Nat$' ).
tff(func_def_184,type,
sK113: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_185,type,
sK114: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_186,type,
sK115: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_187,type,
sK116: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_188,type,
sK117: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_189,type,
sK118: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_190,type,
sK119: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_191,type,
sK120: $int > 'Nat$' ).
tff(func_def_192,type,
sK121: $int > 'Nat$' ).
tff(func_def_193,type,
sK122: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_194,type,
sK123: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_195,type,
sK124: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_196,type,
sK125: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_197,type,
sK126: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_198,type,
sK127: 'Nat_real_fun$' > 'Nat$' ).
tff(func_def_199,type,
sK128: 'Int_bool_fun$' > 'Nat$' ).
tff(func_def_200,type,
sK129: 'Int_bool_fun$' > 'Nat$' ).
tff(func_def_201,type,
sK130: $int > 'Nat$' ).
tff(func_def_202,type,
sK131: $int > 'Nat$' ).
tff(func_def_203,type,
sK132: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_204,type,
sK133: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_205,type,
sK134: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_206,type,
sK135: $int > 'Nat$' ).
tff(func_def_207,type,
sK136: $int > 'Nat$' ).
tff(func_def_208,type,
sK137: $int > 'Nat$' ).
tff(func_def_209,type,
sK138: $int > 'Nat$' ).
tff(func_def_210,type,
sK139: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_211,type,
sK140: ( 'Nat_bool_fun$' * $int ) > 'Nat$' ).
tff(func_def_212,type,
sK141: $int > 'Nat$' ).
tff(func_def_213,type,
sK142: $int > 'Nat$' ).
tff(func_def_214,type,
sK143: $int > 'Nat$' ).
tff(func_def_215,type,
sK144: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_216,type,
sK145: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_217,type,
sK146: ( 'Real_set$' * $real ) > $real ).
tff(func_def_218,type,
sK147: ( 'Real_set$' * $real ) > $real ).
tff(func_def_219,type,
sK148: 'Real_set$' > $real ).
tff(func_def_220,type,
sK149: ( 'Nat_real_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_221,type,
sK150: ( 'Nat$' * 'Nat_real_fun$' * 'Nat_real_fun$' ) > 'Nat$' ).
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(pred_def_24,type,
sP0: ( $real * $real ) > $o ).
tff(pred_def_25,type,
sP1: 'Nat_bool_fun$' > $o ).
tff(pred_def_26,type,
sP2: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_27,type,
sP3: 'Nat_nat_bool_fun_fun$' > $o ).
tff(pred_def_28,type,
sP4: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_29,type,
sP5: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_30,type,
sP6: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_31,type,
sP7: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_32,type,
sP8: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_33,type,
sP9: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_34,type,
sP10: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_35,type,
sP11: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_36,type,
sP12: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_37,type,
sP13: 'Nat_bool_fun$' > $o ).
tff(pred_def_38,type,
sP14: ( $real * 'Nat$' ) > $o ).
tff(pred_def_39,type,
sP15: 'Rows_rows_bool_fun_fun$' > $o ).
tff(pred_def_40,type,
sP16: 'Rows_bool_fun$' > $o ).
tff(pred_def_41,type,
sP17: ( $int * $int ) > $o ).
tff(pred_def_42,type,
sP18: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_43,type,
sP19: 'Nat_nat_bool_fun_fun$' > $o ).
tff(pred_def_44,type,
sP20: ( 'Nat$' * $int ) > $o ).
tff(pred_def_45,type,
sP21: ( $int * 'Nat$' ) > $o ).
tff(pred_def_46,type,
sP22: ( 'Nat$' * $int ) > $o ).
tff(pred_def_47,type,
sP23: ( $int * 'Nat$' ) > $o ).
tff(pred_def_48,type,
sP24: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_49,type,
sP25: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_50,type,
sP26: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_51,type,
sP27: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_52,type,
sP28: ( 'Nat$' * $real ) > $o ).
tff(pred_def_53,type,
sP29: ( $real * 'Nat$' ) > $o ).
tff(pred_def_54,type,
sP30: ( 'Nat_bool_fun$' * $int ) > $o ).
tff(pred_def_55,type,
sP31: ( 'Nat_bool_fun$' * $int ) > $o ).
tff(pred_def_56,type,
sP32: $int > $o ).
tff(pred_def_57,type,
sP33: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_58,type,
sP34: ( $real * 'Real_set$' ) > $o ).
tff(pred_def_59,type,
sP35: 'Real_set$' > $o ).
tff(pred_def_60,type,
sP36: ( 'Nat_real_fun$' * 'Nat$' ) > $o ).
tff(f6,axiom,
~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
tff(f7,axiom,
'is_zero_row_upt_k$'('zero$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(f8,axiom,
'reduced_row_echelon_form$'('a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom6) ).
tff(f9,axiom,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( 'reduced_row_echelon_form$'(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$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(f22,axiom,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$',X2: 'Rows$',X3: 'Rows$'] :
( ( 'fun_app$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(f918,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
| ~ 'reduced_row_echelon_form$'(X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f924,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$',X2: 'Rows$',X3: 'Rows$'] :
( 'is_zero_row_upt_k$'(X3,X1,X0)
| ~ '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) ),
inference(ennf_transformation,[],[f22]) ).
tff(f925,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$',X2: 'Rows$',X3: 'Rows$'] :
( 'is_zero_row_upt_k$'(X3,X1,X0)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
| ~ 'is_zero_row_upt_k$'(X2,X1,X0)
| ~ 'fun_app$c'('fun_app$d'('less$',X2),X3) ),
inference(flattening,[],[f924]) ).
tff(f1806,plain,
~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$'),
inference(cnf_transformation,[],[f6]) ).
tff(f1807,plain,
'is_zero_row_upt_k$'('zero$','nat$'(1),'a$'),
inference(cnf_transformation,[],[f7]) ).
tff(f1808,plain,
'reduced_row_echelon_form$'('a$'),
inference(cnf_transformation,[],[f8]) ).
tff(f1809,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
| ~ 'reduced_row_echelon_form$'(X0) ),
inference(cnf_transformation,[],[f918]) ).
tff(f1810,plain,
'fun_app$c'('fun_app$d'('less$','zero$'),'i$'),
inference(cnf_transformation,[],[f10]) ).
tff(f1827,plain,
! [X2: 'Rows$',X3: 'Rows$',X0: 'A_cols_vec_rows_vec$',X1: 'Nat$'] :
( ~ 'is_zero_row_upt_k$'(X2,X1,X0)
| ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)
| 'is_zero_row_upt_k$'(X3,X1,X0)
| ~ 'fun_app$c'('fun_app$d'('less$',X2),X3) ),
inference(cnf_transformation,[],[f925]) ).
tff(f5459,plain,
! [X0: 'Rows$'] :
( ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1))
| 'is_zero_row_upt_k$'(X0,'nat$'(1),'a$')
| ~ 'fun_app$c'('fun_app$d'('less$','zero$'),X0) ),
inference(resolution,[],[f1827,f1807]) ).
tff(f5463,definition,
( spl151_5
<=> ! [X0: 'Rows$'] :
( 'is_zero_row_upt_k$'(X0,'nat$'(1),'a$')
| ~ 'fun_app$c'('fun_app$d'('less$','zero$'),X0) ) ),
introduced(definition,[new_symbols(definition,[spl151_5])],[avatar_definition]) ).
tff(f5464,plain,
( ! [X0: 'Rows$'] :
( ~ 'fun_app$c'('fun_app$d'('less$','zero$'),X0)
| 'is_zero_row_upt_k$'(X0,'nat$'(1),'a$') )
| ~ spl151_5 ),
inference(avatar_component_clause,[],[f5463]) ).
tff(f5466,definition,
( spl151_6
<=> 'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1)) ),
introduced(definition,[new_symbols(definition,[spl151_6])],[avatar_definition]) ).
tff(f5468,plain,
( ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1))
| spl151_6 ),
inference(avatar_component_clause,[],[f5466]) ).
tff(f5469,plain,
( spl151_5
| ~ spl151_6 ),
inference(avatar_split_clause,[],[f5459,f5466,f5463]) ).
tff(f5471,plain,
( ~ 'reduced_row_echelon_form$'('a$')
| spl151_6 ),
inference(resolution,[],[f5468,f1809]) ).
tff(f5482,plain,
( $false
| spl151_6 ),
inference(global_subsumption,[],[f5471,f1808]) ).
tff(f5483,plain,
spl151_6,
inference(avatar_contradiction_clause,[],[f5482]) ).
tff(f12417,plain,
( 'is_zero_row_upt_k$'('i$','nat$'(1),'a$')
| ~ spl151_5 ),
inference(resolution,[],[f5464,f1810]) ).
tff(f12434,plain,
( $false
| ~ spl151_5 ),
inference(global_subsumption,[],[f12417,f1806]) ).
tff(f12435,plain,
~ spl151_5,
inference(avatar_contradiction_clause,[],[f12434]) ).
cnf(s1024,plain,
( spl151_5
| ~ spl151_6 ),
inference(sat_conversion,[],[f5469]) ).
cnf(s1031,plain,
spl151_6,
inference(sat_conversion,[],[f5483]) ).
cnf(s2022,plain,
~ spl151_5,
inference(sat_conversion,[],[f12435]) ).
cnf(s2037,plain,
$false,
inference(rat,[],[s1024,s1031,s2022]) ).
tff(f12436,plain,
$false,
inference(avatar_sat_refutation,[],[s2037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP320_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 12:54:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/0.80 % (2363446)Will run a generic schedule for satisfiability detection.
% 2.64/0.80 % (2363452)% WARNING: option uhcvi not known.
% 2.64/0.80 % (2363451)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3828459587_2999 on theBenchmark for (2999ds/0Mi)
% 2.64/0.80 % (2363453)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3980764649:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.64/0.80 % (2363455)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4252722557:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.64/0.80 % (2363452)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=202091955:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.64/0.80 % (2363456)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3410046409:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.64/0.80 % (2363457)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2609704483:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.64/0.80 % (2363454)dis+10_1_sil=32000:sp=arity:random_seed=2238325938:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.64/0.80 % (2363451)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.64/0.80 % (2363451)Terminated due to inappropriate strategy.
% 2.64/0.80 % (2363451)------------------------------
% 2.64/0.80 % (2363451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.80 % (2363451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.80 % (2363451)CaDiCaL version: 2.1.3
% 2.64/0.80 % (2363451)Termination reason: Inappropriate
% 2.64/0.80 % (2363451)Time elapsed: 0.015 s
% 2.64/0.80 % (2363451)Peak memory usage: 12 MB
% 2.64/0.80 % (2363451)Instructions burned: 59 (million)
% 2.64/0.80 % (2363451)------------------------------
% 2.64/0.80 % (2363451)------------------------------
% 2.64/0.80 % (2363469)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=722867052:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.64/0.80 % (2363454)Instruction limit reached!
% 2.64/0.80 % (2363454)------------------------------
% 2.64/0.80 % (2363454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.80 % (2363454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.80 % (2363454)CaDiCaL version: 2.1.3
% 2.64/0.80 % (2363454)Termination reason: Instruction limit
% 2.64/0.80 % (2363454)Termination phase: Saturation
% 2.64/0.80 % (2363454)Time elapsed: 0.038 s
% 2.64/0.80 % (2363454)Peak memory usage: 13 MB
% 2.64/0.80 % (2363454)Instructions burned: 104 (million)
% 2.64/0.80 % (2363456)Instruction limit reached!
% 2.64/0.80 % (2363456)------------------------------
% 2.64/0.80 % (2363456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.80 % (2363469)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.64/0.80 % (2363469)Terminated due to inappropriate strategy.
% 2.64/0.80 % (2363469)------------------------------
% 2.64/0.80 % (2363469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.80 % (2363469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.80 % (2363456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.80 % (2363456)CaDiCaL version: 2.1.3
% 2.64/0.80 % (2363456)Termination reason: Instruction limit
% 2.64/0.80 % (2363456)Termination phase: Saturation
% 2.64/0.80 % (2363469)CaDiCaL version: 2.1.3
% 2.64/0.80 % (2363456)Time elapsed: 0.041 s
% 2.64/0.80 % (2363456)Peak memory usage: 14 MB
% 2.64/0.80 % (2363456)Instructions burned: 133 (million)
% 2.64/0.80 % (2363469)Termination reason: Inappropriate
% 2.64/0.80 % (2363469)Time elapsed: 0.014 s
% 2.64/0.80 % (2363469)Peak memory usage: 12 MB
% 2.64/0.80 % (2363469)Instructions burned: 56 (million)
% 2.64/0.80 % (2363469)------------------------------
% 2.64/0.80 % (2363469)------------------------------
% 2.64/0.80 % (2363480)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3315134448:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.64/0.80 % (2363457)Instruction limit reached!
% 2.64/0.80 % (2363457)------------------------------
% 2.64/0.80 % (2363457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.80 % (2363457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.80 % (2363457)CaDiCaL version: 2.1.3
% 2.64/0.80 % (2363457)Termination reason: Instruction limit
% 2.91/0.92 % (2363457)Termination phase: Saturation
% 2.91/0.92 % (2363457)Time elapsed: 0.052 s
% 2.91/0.92 % (2363457)Peak memory usage: 14 MB
% 2.91/0.92 % (2363457)Instructions burned: 161 (million)
% 2.91/0.92 % (2363481)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1591720301:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.91/0.92 % (2363482)ott-21_1_sil=16000:fs=off:random_seed=3908376761:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/0.92 % (2363455)Instruction limit reached!
% 2.91/0.92 % (2363455)------------------------------
% 2.91/0.92 % (2363455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.92 % (2363455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.92 % (2363455)CaDiCaL version: 2.1.3
% 2.91/0.92 % (2363455)Termination reason: Instruction limit
% 2.91/0.92 % (2363455)Termination phase: Saturation
% 2.91/0.92 % (2363455)Time elapsed: 0.059 s
% 2.91/0.92 % (2363455)Peak memory usage: 14 MB
% 2.91/0.92 % (2363455)Instructions burned: 117 (million)
% 2.91/0.92 % (2363484)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=39708958:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 2.91/0.92 % (2363487)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1390042518:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.91/0.92 % (2363487)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.91/0.92 % (2363487)Terminated due to inappropriate strategy.
% 2.91/0.92 % (2363487)------------------------------
% 2.91/0.92 % (2363487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.92 % (2363487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.92 % (2363487)CaDiCaL version: 2.1.3
% 2.91/0.92 % (2363487)Termination reason: Inappropriate
% 2.91/0.92 % (2363487)Time elapsed: 0.011 s
% 2.91/0.92 % (2363487)Peak memory usage: 12 MB
% 2.91/0.92 % (2363487)Instructions burned: 44 (million)
% 2.91/0.92 % (2363487)------------------------------
% 2.91/0.92 % (2363487)------------------------------
% 2.91/0.92 % (2363498)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1788326399:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.91/0.92 % (2363480)Instruction limit reached!
% 2.91/0.92 % (2363480)------------------------------
% 2.91/0.92 % (2363480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.92 % (2363480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.92 % (2363480)CaDiCaL version: 2.1.3
% 2.91/0.92 % (2363480)Termination reason: Instruction limit
% 2.91/0.92 % (2363480)Termination phase: Saturation
% 2.91/0.92 % (2363480)Time elapsed: 0.051 s
% 2.91/0.92 % (2363480)Peak memory usage: 14 MB
% 2.91/0.92 % (2363480)Instructions burned: 131 (million)
% 2.91/0.92 % (2363506)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3413224843:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.91/0.92 % (2363482)Instruction limit reached!
% 2.91/0.92 % (2363482)------------------------------
% 2.91/0.92 % (2363482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.92 % (2363482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.92 % (2363482)CaDiCaL version: 2.1.3
% 2.91/0.92 % (2363482)Termination reason: Instruction limit
% 2.91/0.92 % (2363482)Termination phase: Saturation
% 2.91/0.92 % (2363482)Time elapsed: 0.073 s
% 2.91/0.92 % (2363482)Peak memory usage: 13 MB
% 2.91/0.92 % (2363482)Instructions burned: 181 (million)
% 2.91/0.92 % (2363506)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.91/0.92 % (2363506)Terminated due to inappropriate strategy.
% 2.91/0.92 % (2363506)------------------------------
% 2.91/0.92 % (2363506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.92 % (2363506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.92 % (2363506)CaDiCaL version: 2.1.3
% 2.91/0.92 % (2363506)Termination reason: Inappropriate
% 2.91/0.92 % (2363506)Time elapsed: 0.027 s
% 2.91/0.92 % (2363506)Peak memory usage: 11 MB
% 2.91/0.92 % (2363506)Instructions burned: 57 (million)
% 2.91/0.92 % (2363506)------------------------------
% 2.91/0.92 % (2363506)------------------------------
% 2.91/0.92 % (2363510)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1907633273:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 6.18/1.35 % (2363514)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1587569646:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 6.18/1.35 % (2363484)Instruction limit reached!
% 6.18/1.35 % (2363484)------------------------------
% 6.18/1.35 % (2363484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363484)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363484)Termination reason: Instruction limit
% 6.18/1.35 % (2363484)Termination phase: Saturation
% 6.18/1.35 % (2363484)Time elapsed: 0.224 s
% 6.18/1.35 % (2363484)Peak memory usage: 15 MB
% 6.18/1.35 % (2363484)Instructions burned: 480 (million)
% 6.18/1.35 % (2363529)fmb+10_1_sil=64000:random_seed=2342669236:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 6.18/1.35 % (2363529)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363529)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363529)------------------------------
% 6.18/1.35 % (2363529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363529)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363529)Termination reason: Inappropriate
% 6.18/1.35 % (2363529)Time elapsed: 0.015 s
% 6.18/1.35 % (2363529)Peak memory usage: 12 MB
% 6.18/1.35 % (2363529)Instructions burned: 59 (million)
% 6.18/1.35 % (2363529)------------------------------
% 6.18/1.35 % (2363529)------------------------------
% 6.18/1.35 % (2363542)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1852170499:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 6.18/1.35 % (2363542)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363542)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363542)------------------------------
% 6.18/1.35 % (2363542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363542)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363542)Termination reason: Inappropriate
% 6.18/1.35 % (2363542)Time elapsed: 0.014 s
% 6.18/1.35 % (2363542)Peak memory usage: 12 MB
% 6.18/1.35 % (2363542)Instructions burned: 56 (million)
% 6.18/1.35 % (2363542)------------------------------
% 6.18/1.35 % (2363542)------------------------------
% 6.18/1.35 % (2363481)Instruction limit reached!
% 6.18/1.35 % (2363481)------------------------------
% 6.18/1.35 % (2363481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363481)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363481)Termination reason: Instruction limit
% 6.18/1.35 % (2363481)Termination phase: Saturation
% 6.18/1.35 % (2363481)Time elapsed: 0.290 s
% 6.18/1.35 % (2363481)Peak memory usage: 18 MB
% 6.18/1.35 % (2363481)Instructions burned: 684 (million)
% 6.18/1.35 % (2363554)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=127945463:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 6.18/1.35 % (2363557)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2781578959:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 6.18/1.35 % (2363554)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363554)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363554)------------------------------
% 6.18/1.35 % (2363554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363554)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363554)Termination reason: Inappropriate
% 6.18/1.35 % (2363554)Time elapsed: 0.014 s
% 6.18/1.35 % (2363554)Peak memory usage: 12 MB
% 6.18/1.35 % (2363554)Instructions burned: 56 (million)
% 6.18/1.35 % (2363554)------------------------------
% 6.18/1.35 % (2363554)------------------------------
% 6.18/1.35 % (2363572)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4286259831:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 6.18/1.35 % (2363510)Instruction limit reached!
% 6.18/1.35 % (2363510)------------------------------
% 6.18/1.35 % (2363510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363510)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363510)Termination reason: Instruction limit
% 6.18/1.35 % (2363510)Termination phase: Saturation
% 6.18/1.35 % (2363510)Time elapsed: 0.273 s
% 6.18/1.35 % (2363510)Peak memory usage: 19 MB
% 6.18/1.35 % (2363510)Instructions burned: 693 (million)
% 6.18/1.35 % (2363591)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3483323225:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 6.18/1.35 % (2363514)Instruction limit reached!
% 6.18/1.35 % (2363514)------------------------------
% 6.18/1.35 % (2363514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363514)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363514)Termination reason: Instruction limit
% 6.18/1.35 % (2363514)Termination phase: Saturation
% 6.18/1.35 % (2363514)Time elapsed: 0.275 s
% 6.18/1.35 % (2363514)Peak memory usage: 20 MB
% 6.18/1.35 % (2363514)Instructions burned: 880 (million)
% 6.18/1.35 % (2363602)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3408146335:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 6.18/1.35 % (2363591)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363591)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363591)------------------------------
% 6.18/1.35 % (2363591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363591)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363591)Termination reason: Inappropriate
% 6.18/1.35 % (2363591)Time elapsed: 0.015 s
% 6.18/1.35 % (2363591)Peak memory usage: 12 MB
% 6.18/1.35 % (2363591)Instructions burned: 59 (million)
% 6.18/1.35 % (2363591)------------------------------
% 6.18/1.35 % (2363591)------------------------------
% 6.18/1.35 % (2363606)ott-2_1_sil=16000:newcnf=on:random_seed=3530827627:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 6.18/1.35 % (2363602)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363602)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363602)------------------------------
% 6.18/1.35 % (2363602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363602)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363602)Termination reason: Inappropriate
% 6.18/1.35 % (2363602)Time elapsed: 0.014 s
% 6.18/1.35 % (2363602)Peak memory usage: 12 MB
% 6.18/1.35 % (2363602)Instructions burned: 56 (million)
% 6.18/1.35 % (2363602)------------------------------
% 6.18/1.35 % (2363602)------------------------------
% 6.18/1.35 % (2363613)ott+10_1_sil=32000:tgt=ground:random_seed=1630088676:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 6.18/1.35 % (2363498)Instruction limit reached!
% 6.18/1.35 % (2363498)------------------------------
% 6.18/1.35 % (2363498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363498)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363498)Termination reason: Instruction limit
% 6.18/1.35 % (2363498)Termination phase: Saturation
% 6.18/1.35 % (2363498)Time elapsed: 0.423 s
% 6.18/1.35 % (2363498)Peak memory usage: 19 MB
% 6.18/1.35 % (2363498)Instructions burned: 1182 (million)
% 6.18/1.35 % (2363629)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=117284133:i=54282_2994 on theBenchmark for (2994ds/54282Mi)
% 6.18/1.35 % (2363629)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.18/1.35 % (2363629)Terminated due to inappropriate strategy.
% 6.18/1.35 % (2363629)------------------------------
% 6.18/1.35 % (2363629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363629)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363629)Termination reason: Inappropriate
% 6.18/1.35 % (2363629)Time elapsed: 0.015 s
% 6.18/1.35 % (2363629)Peak memory usage: 12 MB
% 6.18/1.35 % (2363629)Instructions burned: 59 (million)
% 6.18/1.35 % (2363629)------------------------------
% 6.18/1.35 % (2363629)------------------------------
% 6.18/1.35 % (2363639)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=371377802:i=3512:aac=none_2994 on theBenchmark for (2994ds/3512Mi)
% 6.18/1.35 % (2363606)Instruction limit reached!
% 6.18/1.35 % (2363606)------------------------------
% 6.18/1.35 % (2363606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363606)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363606)Termination reason: Instruction limit
% 6.18/1.35 % (2363606)Termination phase: Saturation
% 6.18/1.35 % (2363606)Time elapsed: 0.219 s
% 6.18/1.35 % (2363606)Peak memory usage: 16 MB
% 6.18/1.35 % (2363606)Instructions burned: 870 (million)
% 6.18/1.35 % (2363652)dis+21_1_sil=32000:sas=cadical:random_seed=2479757989:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 6.18/1.35 % (2363572)Instruction limit reached!
% 6.18/1.35 % (2363572)------------------------------
% 6.18/1.35 % (2363572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363572)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363572)Termination reason: Instruction limit
% 6.18/1.35 % (2363572)Termination phase: Saturation
% 6.18/1.35 % (2363572)Time elapsed: 0.404 s
% 6.18/1.35 % (2363572)Peak memory usage: 27 MB
% 6.18/1.35 % (2363572)Instructions burned: 1474 (million)
% 6.18/1.35 % (2363694)ott+11_1_sil=16000:gs=on:random_seed=2776863304:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 6.18/1.35 % (2363694) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2363446-2363694"...
% 6.18/1.35 % (2363694)...printing done.
% 6.18/1.35 % (2363694)Refutation found. Thanks to Tanya!
% 6.18/1.35 % SZS status ContradictoryAxioms for theBenchmark
% 6.18/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 6.18/1.35 % (2363694)------------------------------
% 6.18/1.35 % (2363694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.35 % (2363694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.35 % (2363694)CaDiCaL version: 2.1.3
% 6.18/1.35 % (2363694)Termination reason: Refutation
% 6.18/1.35 % (2363694)Time elapsed: 0.169 s
% 6.18/1.35 % (2363694)Peak memory usage: 18 MB
% 6.18/1.35 % (2363694)Instructions burned: 506 (million)
% 6.18/1.35 % (2363446)Success in time 1.015 s
% 6.18/1.35 % Vampire exiting
%------------------------------------------------------------------------------