%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP334_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:33:38 AM UTC 2026
% Result : Theorem 4.26s 1.69s
% Output : Refutation 5.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 17 unt; 0 typ; 13 def)
% Number of atoms : 55 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 11 ~; 4 |; 5 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 94 ( 25 atm; 28 fun; 41 num; 0 var)
% Number of types : 48 ( 46 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 37 ( 34 usr; 9 prp; 0-2 aty)
% Number of functors : 282 ( 277 usr; 36 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Num1$': $tType ).
tff(type_def_6,type,
'Unit_set$': $tType ).
tff(type_def_7,type,
'Int_bool_fun$': $tType ).
tff(type_def_8,type,
'Nat_set_int_fun$': $tType ).
tff(type_def_9,type,
'Num1_option_option_set$': $tType ).
tff(type_def_10,type,
'Rows_set_int_fun$': $tType ).
tff(type_def_11,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_12,type,
'Rows_option_option_set$': $tType ).
tff(type_def_13,type,
'Rows$': $tType ).
tff(type_def_14,type,
'Literal$': $tType ).
tff(type_def_15,type,
'Rows_set$': $tType ).
tff(type_def_16,type,
'Int_int_fun$': $tType ).
tff(type_def_17,type,
'Num0$': $tType ).
tff(type_def_18,type,
'Rows_option_set$': $tType ).
tff(type_def_19,type,
'Nat_rows_set_fun$': $tType ).
tff(type_def_20,type,
'Nat_nat_fun$': $tType ).
tff(type_def_21,type,
'Nat$': $tType ).
tff(type_def_22,type,
'Nat_num1_set_fun$': $tType ).
tff(type_def_23,type,
'Literal_set$': $tType ).
tff(type_def_24,type,
'Int_num0_set_fun$': $tType ).
tff(type_def_25,type,
tlbool: $tType ).
tff(type_def_26,type,
'Num1_option_set$': $tType ).
tff(type_def_27,type,
'Int_rows_set_fun$': $tType ).
tff(type_def_28,type,
'Rows_bool_fun$': $tType ).
tff(type_def_29,type,
'Rows_rows_fun$': $tType ).
tff(type_def_30,type,
'Literal_bool_fun$': $tType ).
tff(type_def_31,type,
'Num0_bool_fun$': $tType ).
tff(type_def_32,type,
'Nat_nat_set_fun$': $tType ).
tff(type_def_33,type,
'Nat_literal_set_fun$': $tType ).
tff(type_def_34,type,
'Nat_num0_set_fun$': $tType ).
tff(type_def_35,type,
'Int_literal_set_fun$': $tType ).
tff(type_def_36,type,
'Literal_set_int_fun$': $tType ).
tff(type_def_37,type,
'Num1_set$': $tType ).
tff(type_def_38,type,
'Literal_option_set$': $tType ).
tff(type_def_39,type,
'Nat_option_set$': $tType ).
tff(type_def_40,type,
'Num0_option_set$': $tType ).
tff(type_def_41,type,
'Num0_set_int_fun$': $tType ).
tff(type_def_42,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_43,type,
'Num1_bool_fun$': $tType ).
tff(type_def_44,type,
'Nat_bool_fun$': $tType ).
tff(type_def_45,type,
'Num1_set_int_fun$': $tType ).
tff(type_def_46,type,
'Num0_set$': $tType ).
tff(type_def_47,type,
'Nat_set$': $tType ).
tff(type_def_48,type,
'Int_num1_set_fun$': $tType ).
tff(type_def_49,type,
'Nat_int_fun$': $tType ).
tff(type_def_50,type,
'Int_nat_set_fun$': $tType ).
tff(func_def_0,type,
'top$o': 'Unit_set$' ).
tff(func_def_1,type,
'uua$': 'Rows_set$' > 'Rows_bool_fun$' ).
tff(func_def_2,type,
'minus$': 'Rows$' > 'Rows_rows_fun$' ).
tff(func_def_3,type,
'fun_app$p': ( 'Int_rows_set_fun$' * $int ) > 'Rows_set$' ).
tff(func_def_4,type,
'uue$': 'Num1_set$' > 'Num1_bool_fun$' ).
tff(func_def_5,type,
'top$h': 'Num0_set$' ).
tff(func_def_6,type,
'top$q': 'Literal_option_set$' ).
tff(func_def_7,type,
'fun_app$j': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_8,type,
'card$': 'Rows_set$' > 'Nat$' ).
tff(func_def_9,type,
'card$e': 'Num1_set$' > 'Nat$' ).
tff(func_def_10,type,
'fun_app$l': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_11,type,
'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_12,type,
'fun_app$t': ( 'Int_num1_set_fun$' * $int ) > 'Num1_set$' ).
tff(func_def_13,type,
'one$': 'Rows$' ).
tff(func_def_14,type,
'fun_app$n': ( 'Nat_num0_set_fun$' * 'Nat$' ) > 'Num0_set$' ).
tff(func_def_15,type,
'collect$c': 'Num0_bool_fun$' > 'Num0_set$' ).
tff(func_def_16,type,
'top$c': 'Num1_option_option_set$' ).
tff(func_def_17,type,
'top$': 'Rows_set$' ).
tff(func_def_18,type,
'fun_app$b': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_19,type,
'uu$': $int > 'Int_int_fun$' ).
tff(func_def_20,type,
'fun_app$s': ( 'Int_num0_set_fun$' * $int ) > 'Num0_set$' ).
tff(func_def_21,type,
'card$l': 'Nat_option_set$' > 'Nat$' ).
tff(func_def_22,type,
'fun_app$y': ( 'Num1_set_int_fun$' * 'Num1_set$' ) > $int ).
tff(func_def_23,type,
'top$e': 'Num1_set$' ).
tff(func_def_24,type,
'zero$': 'Rows$' ).
tff(func_def_25,type,
'collect$b': 'Literal_bool_fun$' > 'Literal_set$' ).
tff(func_def_26,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_27,type,
'fun_app$a': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_28,type,
'uuf$': 'Int_int_bool_fun_fun$' ).
tff(func_def_29,type,
'fun_app$v': ( 'Nat_set_int_fun$' * 'Nat_set$' ) > $int ).
tff(func_def_30,type,
'top$r': 'Nat_option_set$' ).
tff(func_def_31,type,
'top$f': 'Nat_set$' ).
tff(func_def_32,type,
'fun_app$z': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_33,type,
'fun_app$k': ( 'Nat_rows_set_fun$' * 'Nat$' ) > 'Rows_set$' ).
tff(func_def_34,type,
'card$h': 'Num0_set$' > 'Nat$' ).
tff(func_def_35,type,
tltrue: tlbool ).
tff(func_def_36,type,
'uub$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_37,type,
'fun_app$w': ( 'Literal_set_int_fun$' * 'Literal_set$' ) > $int ).
tff(func_def_38,type,
'card$g': 'Literal_set$' > 'Nat$' ).
tff(func_def_39,type,
'card$i': 'Unit_set$' > 'Nat$' ).
tff(func_def_40,type,
'card$f': 'Nat_set$' > 'Nat$' ).
tff(func_def_41,type,
'top$k': 'Num0_bool_fun$' ).
tff(func_def_42,type,
'top$g': 'Literal_set$' ).
tff(func_def_43,type,
'card$j': 'Num0_option_set$' > 'Nat$' ).
tff(func_def_44,type,
'top$a': 'Rows_option_option_set$' ).
tff(func_def_45,type,
'fun_app$q': ( 'Int_nat_set_fun$' * $int ) > 'Nat_set$' ).
tff(func_def_46,type,
'fun_app$m': ( 'Nat_literal_set_fun$' * 'Nat$' ) > 'Literal_set$' ).
tff(func_def_47,type,
'card$a': 'Rows_option_option_set$' > 'Nat$' ).
tff(func_def_48,type,
'top$p': 'Num0_option_set$' ).
tff(func_def_49,type,
'card$k': 'Literal_option_set$' > 'Nat$' ).
tff(func_def_50,type,
'uuc$': 'Literal_set$' > 'Literal_bool_fun$' ).
tff(func_def_51,type,
'uud$': 'Num0_set$' > 'Num0_bool_fun$' ).
tff(func_def_52,type,
'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_53,type,
'top$b': 'Rows_option_set$' ).
tff(func_def_54,type,
'collect$d': 'Num1_bool_fun$' > 'Num1_set$' ).
tff(func_def_55,type,
'fun_app$r': ( 'Int_literal_set_fun$' * $int ) > 'Literal_set$' ).
tff(func_def_56,type,
'top$i': 'Num1_bool_fun$' ).
tff(func_def_57,type,
'fun_app$u': ( 'Rows_set_int_fun$' * 'Rows_set$' ) > $int ).
tff(func_def_58,type,
'top$n': 'Rows_bool_fun$' ).
tff(func_def_59,type,
'collect$': 'Rows_bool_fun$' > 'Rows_set$' ).
tff(func_def_60,type,
'top$l': 'Literal_bool_fun$' ).
tff(func_def_61,type,
tlfalse: tlbool ).
tff(func_def_62,type,
'nat$': $int > 'Nat$' ).
tff(func_def_63,type,
'top$d': 'Num1_option_set$' ).
tff(func_def_64,type,
'abs$': $int > 'Rows$' ).
tff(func_def_65,type,
'fun_app$x': ( 'Num0_set_int_fun$' * 'Num0_set$' ) > $int ).
tff(func_def_66,type,
'card$c': 'Num1_option_option_set$' > 'Nat$' ).
tff(func_def_67,type,
'card$d': 'Num1_option_set$' > 'Nat$' ).
tff(func_def_68,type,
'fun_app$o': ( 'Nat_num1_set_fun$' * 'Nat$' ) > 'Num1_set$' ).
tff(func_def_69,type,
'top$m': 'Nat_bool_fun$' ).
tff(func_def_70,type,
'card$b': 'Rows_option_set$' > 'Nat$' ).
tff(func_def_71,type,
'fun_app$i': ( 'Rows_rows_fun$' * 'Rows$' ) > 'Rows$' ).
tff(func_def_77,type,
sK0: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_78,type,
sK1: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_79,type,
sK2: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_80,type,
sK3: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_81,type,
sK4: $int > 'Nat$' ).
tff(func_def_82,type,
sK5: $int > 'Nat$' ).
tff(func_def_83,type,
sK6: 'Nat$' > 'Nat$' ).
tff(func_def_84,type,
sK7: 'Int_rows_set_fun$' > $int ).
tff(func_def_85,type,
sK8: 'Int_rows_set_fun$' > $int ).
tff(func_def_86,type,
sK9: 'Nat$' ).
tff(func_def_87,type,
sK10: 'Int_int_fun$' > $int ).
tff(func_def_88,type,
sK11: 'Int_int_fun$' > $int ).
tff(func_def_89,type,
sK12: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_90,type,
sK13: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_91,type,
sK14: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_92,type,
sK15: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_93,type,
sK16: 'Literal$' ).
tff(func_def_94,type,
sK17: 'Int_int_fun$' > $int ).
tff(func_def_95,type,
sK18: 'Int_int_fun$' > $int ).
tff(func_def_96,type,
sK19: ( 'Num0_bool_fun$' * 'Num0_bool_fun$' ) > 'Num0$' ).
tff(func_def_97,type,
sK20: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_98,type,
sK21: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_99,type,
sK22: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_100,type,
sK23: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_101,type,
sK24: 'Nat_nat_set_fun$' > 'Nat$' ).
tff(func_def_102,type,
sK25: $int > 'Nat$' ).
tff(func_def_103,type,
sK26: 'Int_int_fun$' > $int ).
tff(func_def_104,type,
sK27: 'Int_int_fun$' > $int ).
tff(func_def_105,type,
sK28: 'Int_int_fun$' > $int ).
tff(func_def_106,type,
sK29: 'Int_int_fun$' > $int ).
tff(func_def_107,type,
sK30: 'Nat$' > 'Nat$' ).
tff(func_def_108,type,
sK31: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_109,type,
sK32: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_110,type,
sK33: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_111,type,
sK34: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_112,type,
sK35: 'Num1_set_int_fun$' > 'Num1_set$' ).
tff(func_def_113,type,
sK36: 'Num1_set_int_fun$' > 'Num1_set$' ).
tff(func_def_114,type,
sK37: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_115,type,
sK38: ( 'Num1_bool_fun$' * 'Num1_bool_fun$' ) > 'Num1$' ).
tff(func_def_116,type,
sK39: 'Nat$' > 'Nat$' ).
tff(func_def_117,type,
sK40: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_118,type,
sK41: 'Int_rows_set_fun$' > $int ).
tff(func_def_119,type,
sK42: 'Int_rows_set_fun$' > $int ).
tff(func_def_120,type,
sK43: 'Int_num1_set_fun$' > $int ).
tff(func_def_121,type,
sK44: 'Int_num1_set_fun$' > $int ).
tff(func_def_122,type,
sK45: ( 'Nat_set$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_123,type,
sK46: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_124,type,
sK47: 'Int_int_fun$' > $int ).
tff(func_def_125,type,
sK48: 'Int_int_fun$' > $int ).
tff(func_def_126,type,
sK49: 'Nat_nat_set_fun$' > 'Nat$' ).
tff(func_def_127,type,
sK50: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_128,type,
sK51: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_129,type,
sK52: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_130,type,
sK53: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_131,type,
sK54: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_132,type,
sK55: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_133,type,
sK56: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_134,type,
sK57: 'Int_literal_set_fun$' > $int ).
tff(func_def_135,type,
sK58: 'Int_literal_set_fun$' > $int ).
tff(func_def_136,type,
sK59: 'Nat_num1_set_fun$' > 'Nat$' ).
tff(func_def_137,type,
sK60: 'Nat_literal_set_fun$' > 'Nat$' ).
tff(func_def_138,type,
sK61: 'Num0$' ).
tff(func_def_139,type,
sK62: 'Num0_set$' > 'Num0$' ).
tff(func_def_140,type,
sK63: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_141,type,
sK64: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_142,type,
sK65: 'Int_int_fun$' > $int ).
tff(func_def_143,type,
sK66: 'Int_int_fun$' > $int ).
tff(func_def_144,type,
sK67: 'Int_int_fun$' > $int ).
tff(func_def_145,type,
sK68: 'Int_int_fun$' > $int ).
tff(func_def_146,type,
sK69: 'Int_rows_set_fun$' > $int ).
tff(func_def_147,type,
sK70: 'Int_rows_set_fun$' > $int ).
tff(func_def_148,type,
sK71: $int > 'Nat$' ).
tff(func_def_149,type,
sK72: 'Rows_set$' > 'Rows$' ).
tff(func_def_150,type,
sK73: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_151,type,
sK74: 'Nat_num1_set_fun$' > 'Nat$' ).
tff(func_def_152,type,
sK75: 'Num1_set$' > 'Num1$' ).
tff(func_def_153,type,
sK76: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_154,type,
sK77: 'Nat_literal_set_fun$' > 'Nat$' ).
tff(func_def_155,type,
sK78: 'Int_literal_set_fun$' > $int ).
tff(func_def_156,type,
sK79: 'Int_literal_set_fun$' > $int ).
tff(func_def_157,type,
sK80: 'Int_int_fun$' > $int ).
tff(func_def_158,type,
sK81: 'Int_int_fun$' > $int ).
tff(func_def_159,type,
sK82: 'Nat$' > 'Nat$' ).
tff(func_def_160,type,
sK83: 'Int_num0_set_fun$' > $int ).
tff(func_def_161,type,
sK84: 'Int_num0_set_fun$' > $int ).
tff(func_def_162,type,
sK85: ( 'Rows_bool_fun$' * 'Rows_bool_fun$' ) > 'Rows$' ).
tff(func_def_163,type,
sK86: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_164,type,
sK87: 'Int_rows_set_fun$' > $int ).
tff(func_def_165,type,
sK88: 'Int_rows_set_fun$' > $int ).
tff(func_def_166,type,
sK89: 'Int_nat_set_fun$' > $int ).
tff(func_def_167,type,
sK90: 'Int_nat_set_fun$' > $int ).
tff(func_def_168,type,
sK91: 'Int_num1_set_fun$' > $int ).
tff(func_def_169,type,
sK92: 'Int_num1_set_fun$' > $int ).
tff(func_def_170,type,
sK93: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_171,type,
sK94: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_172,type,
sK95: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_173,type,
sK96: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_174,type,
sK97: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_175,type,
sK98: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_176,type,
sK99: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_177,type,
sK100: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_178,type,
sK101: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_179,type,
sK102: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_180,type,
sK103: $int > $int ).
tff(func_def_181,type,
sK104: 'Int_literal_set_fun$' > $int ).
tff(func_def_182,type,
sK105: 'Int_literal_set_fun$' > $int ).
tff(func_def_183,type,
sK106: 'Int_num0_set_fun$' > $int ).
tff(func_def_184,type,
sK107: 'Int_num0_set_fun$' > $int ).
tff(func_def_185,type,
sK108: 'Nat$' > 'Nat$' ).
tff(func_def_186,type,
sK109: $int > $int ).
tff(func_def_187,type,
sK110: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_188,type,
sK111: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_189,type,
sK112: 'Nat_num0_set_fun$' > 'Nat$' ).
tff(func_def_190,type,
sK113: 'Nat$' > 'Nat$' ).
tff(func_def_191,type,
sK114: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_192,type,
sK115: 'Nat_rows_set_fun$' > 'Nat$' ).
tff(func_def_193,type,
sK116: 'Int_nat_set_fun$' > $int ).
tff(func_def_194,type,
sK117: 'Int_nat_set_fun$' > $int ).
tff(func_def_195,type,
sK118: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_196,type,
sK119: ( 'Rows_set$' * 'Nat$' ) > 'Rows_set$' ).
tff(func_def_197,type,
sK120: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_198,type,
sK121: 'Int_nat_set_fun$' > $int ).
tff(func_def_199,type,
sK122: 'Int_nat_set_fun$' > $int ).
tff(func_def_200,type,
sK123: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_201,type,
sK124: ( 'Literal_bool_fun$' * 'Literal_bool_fun$' ) > 'Literal$' ).
tff(func_def_202,type,
sK125: ( 'Literal_set$' * 'Nat$' ) > 'Literal_set$' ).
tff(func_def_203,type,
sK126: 'Int_num0_set_fun$' > $int ).
tff(func_def_204,type,
sK127: 'Int_num0_set_fun$' > $int ).
tff(func_def_205,type,
sK128: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_206,type,
sK129: 'Num1$' ).
tff(func_def_207,type,
sK130: 'Int_literal_set_fun$' > $int ).
tff(func_def_208,type,
sK131: 'Int_literal_set_fun$' > $int ).
tff(func_def_209,type,
sK132: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_210,type,
sK133: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_211,type,
sK134: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_212,type,
sK135: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_213,type,
sK136: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_214,type,
sK137: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_215,type,
sK138: 'Nat_set_int_fun$' > 'Nat_set$' ).
tff(func_def_216,type,
sK139: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_217,type,
sK140: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_218,type,
sK141: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_219,type,
sK142: $int > 'Nat$' ).
tff(func_def_220,type,
sK143: 'Int_int_fun$' > $int ).
tff(func_def_221,type,
sK144: 'Int_int_fun$' > $int ).
tff(func_def_222,type,
sK145: 'Literal_set$' > 'Literal$' ).
tff(func_def_223,type,
sK146: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_224,type,
sK147: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_225,type,
sK148: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_226,type,
sK149: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_227,type,
sK150: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_228,type,
sK151: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_229,type,
sK152: 'Nat_num0_set_fun$' > 'Nat$' ).
tff(func_def_230,type,
sK153: 'Nat_set$' > 'Nat$' ).
tff(func_def_231,type,
sK154: 'Int_num0_set_fun$' > $int ).
tff(func_def_232,type,
sK155: 'Int_num0_set_fun$' > $int ).
tff(func_def_233,type,
sK156: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_234,type,
sK157: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_235,type,
sK158: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_236,type,
sK159: 'Int_int_fun$' > $int ).
tff(func_def_237,type,
sK160: 'Int_int_fun$' > $int ).
tff(func_def_238,type,
sK161: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_239,type,
sK162: ( 'Nat$' * 'Num0_set$' ) > 'Num0_set$' ).
tff(func_def_240,type,
sK163: ( 'Int_bool_fun$' * $int ) > $int ).
tff(func_def_241,type,
sK164: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_242,type,
sK165: 'Int_nat_set_fun$' > $int ).
tff(func_def_243,type,
sK166: 'Int_nat_set_fun$' > $int ).
tff(func_def_244,type,
sK167: 'Int_int_fun$' > $int ).
tff(func_def_245,type,
sK168: 'Int_int_fun$' > $int ).
tff(func_def_246,type,
sK169: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_247,type,
sK170: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_248,type,
sK171: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_249,type,
sK172: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_250,type,
sK173: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_251,type,
sK174: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_252,type,
sK175: 'Rows_set_int_fun$' > 'Rows_set$' ).
tff(func_def_253,type,
sK176: 'Int_num1_set_fun$' > $int ).
tff(func_def_254,type,
sK177: 'Int_num1_set_fun$' > $int ).
tff(func_def_255,type,
sK178: 'Nat_rows_set_fun$' > 'Nat$' ).
tff(func_def_256,type,
sK179: ( 'Num1_set$' * 'Nat$' ) > 'Num1_set$' ).
tff(func_def_257,type,
sK180: 'Int_int_fun$' > $int ).
tff(func_def_258,type,
sK181: 'Int_int_fun$' > $int ).
tff(func_def_259,type,
sK182: ( 'Int_bool_fun$' * $int ) > $int ).
tff(func_def_260,type,
sK183: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_261,type,
sK184: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_262,type,
sK185: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_263,type,
sK186: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_264,type,
sK187: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_265,type,
sK188: 'Num0_set_int_fun$' > 'Num0_set$' ).
tff(func_def_266,type,
sK189: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_267,type,
sK190: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_268,type,
sK191: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_269,type,
sK192: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_270,type,
sK193: $int > 'Nat$' ).
tff(func_def_271,type,
sK194: 'Rows$' ).
tff(func_def_272,type,
sK195: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_273,type,
sK196: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_274,type,
sK197: 'Literal_set_int_fun$' > 'Literal_set$' ).
tff(func_def_275,type,
sK198: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_276,type,
sK199: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_277,type,
sF200: 'Nat$' ).
tff(func_def_278,type,
sF201: $int ).
tff(func_def_279,type,
sF202: $int ).
tff(func_def_280,type,
sF203: $int ).
tff(func_def_281,type,
sF204: $int ).
tff(pred_def_1,type,
'less$e': ( 'Num1_bool_fun$' * 'Num1_bool_fun$' ) > $o ).
tff(pred_def_2,type,
'less$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).
tff(pred_def_3,type,
'less$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).
tff(pred_def_4,type,
'member$d': ( 'Rows$' * 'Rows_set$' ) > $o ).
tff(pred_def_5,type,
'less_eq$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).
tff(pred_def_6,type,
'fun_app$d': ( 'Num0_bool_fun$' * 'Num0$' ) > $o ).
tff(pred_def_7,type,
'less$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).
tff(pred_def_8,type,
'less$f': ( 'Num0_bool_fun$' * 'Num0_bool_fun$' ) > $o ).
tff(pred_def_9,type,
'fun_app$c': ( 'Num1_bool_fun$' * 'Num1$' ) > $o ).
tff(pred_def_10,type,
'less_eq$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).
tff(pred_def_11,type,
'less_eq$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).
tff(pred_def_12,type,
'member$b': ( 'Literal$' * 'Literal_set$' ) > $o ).
tff(pred_def_13,type,
'less$g': ( 'Literal_bool_fun$' * 'Literal_bool_fun$' ) > $o ).
tff(pred_def_14,type,
'fun_app$': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_15,type,
'member$c': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_16,type,
'less$h': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_17,type,
'less_eq$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).
tff(pred_def_18,type,
'less$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).
tff(pred_def_19,type,
'member$': ( 'Num1$' * 'Num1_set$' ) > $o ).
tff(pred_def_21,type,
'less$i': ( 'Rows_bool_fun$' * 'Rows_bool_fun$' ) > $o ).
tff(pred_def_22,type,
'less$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_23,type,
'fun_app$g': ( 'Rows_bool_fun$' * 'Rows$' ) > $o ).
tff(pred_def_24,type,
'less_eq$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_25,type,
'member$a': ( 'Num0$' * 'Num0_set$' ) > $o ).
tff(pred_def_26,type,
'fun_app$e': ( 'Literal_bool_fun$' * 'Literal$' ) > $o ).
tff(pred_def_27,type,
'fun_app$f': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(f8,conjecture,
( ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) )
& ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture7) ).
tff(f9,negated_conjecture,
~ ( ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) )
& ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f590,axiom,
$less(1,'fun_app$h'('of_nat$','card$'('top$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom588) ).
tff(f661,plain,
~ ( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) )
& ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f1238,plain,
( ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
& ~ $less(0,'fun_app$h'('of_nat$','card$'('top$'))) )
| ( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))
& ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) ) ),
inference(ennf_transformation,[],[f661]) ).
tff(f2499,plain,
( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
| ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) ),
inference(cnf_transformation,[],[f1238]) ).
tff(f2574,plain,
$less(1,'fun_app$h'('of_nat$','card$'('top$'))),
inference(cnf_transformation,[],[f590]) ).
tff(f3808,definition,
sF200 = 'card$'('top$'),
introduced(definition,[new_symbols(definition,[sF200])],[function_definition]) ).
tff(f3809,plain,
'card$'('top$') = sF200,
inference(reorient_equations,[],[f3808]) ).
tff(f3810,definition,
sF201 = 'fun_app$h'('of_nat$',sF200),
introduced(definition,[new_symbols(definition,[sF201])],[function_definition]) ).
tff(f3811,definition,
sF202 = $sum(0,1),
introduced(definition,[new_symbols(definition,[sF202])],[function_definition]) ).
tff(f3812,plain,
$sum(0,1) = sF202,
inference(reorient_equations,[],[f3811]) ).
tff(f3813,definition,
sF203 = $uminus(sF202),
introduced(definition,[new_symbols(definition,[sF203])],[function_definition]) ).
tff(f3814,definition,
sF204 = $sum(sF201,sF203),
introduced(definition,[new_symbols(definition,[sF204])],[function_definition]) ).
tff(f3815,plain,
( ~ $less(sF204,sF201)
| $less(sF201,sF202) ),
inference(definition_folding,[],[f2499,f3810,f3809,f3814,f3813,f3812,f3810,f3809,f3812,f3810,f3809]) ).
tff(f4049,plain,
1 = sF202,
inference(evaluation,[],[f3812]) ).
tff(f4268,definition,
( spl205_17
<=> ( sF204 = $sum(sF201,sF203) ) ),
introduced(definition,[new_symbols(definition,[spl205_17])],[avatar_definition]) ).
tff(f4271,plain,
spl205_17,
inference(avatar_split_clause,[],[f3814,f4268]) ).
tff(f4376,definition,
( spl205_39
<=> ( sF203 = $uminus(sF202) ) ),
introduced(definition,[new_symbols(definition,[spl205_39])],[avatar_definition]) ).
tff(f4379,plain,
spl205_39,
inference(avatar_split_clause,[],[f3813,f4376]) ).
tff(f4381,definition,
( spl205_40
<=> $less(sF204,sF201) ),
introduced(definition,[new_symbols(definition,[spl205_40])],[avatar_definition]) ).
tff(f4422,definition,
( spl205_49
<=> ( 'card$'('top$') = sF200 ) ),
introduced(definition,[new_symbols(definition,[spl205_49])],[avatar_definition]) ).
tff(f4425,plain,
spl205_49,
inference(avatar_split_clause,[],[f3809,f4422]) ).
tff(f4437,definition,
( spl205_52
<=> ( 1 = sF202 ) ),
introduced(definition,[new_symbols(definition,[spl205_52])],[avatar_definition]) ).
tff(f4440,plain,
spl205_52,
inference(avatar_split_clause,[],[f4049,f4437]) ).
tff(f4456,definition,
( spl205_56
<=> $less(sF201,sF202) ),
introduced(definition,[new_symbols(definition,[spl205_56])],[avatar_definition]) ).
tff(f4459,plain,
( ~ spl205_40
| spl205_56 ),
inference(avatar_split_clause,[],[f3815,f4456,f4381]) ).
tff(f4481,definition,
( spl205_61
<=> ( sF201 = 'fun_app$h'('of_nat$',sF200) ) ),
introduced(definition,[new_symbols(definition,[spl205_61])],[avatar_definition]) ).
tff(f4484,plain,
spl205_61,
inference(avatar_split_clause,[],[f3810,f4481]) ).
tff(f4548,definition,
( spl205_75
<=> $less(1,'fun_app$h'('of_nat$','card$'('top$'))) ),
introduced(definition,[new_symbols(definition,[spl205_75])],[avatar_definition]) ).
tff(f4551,plain,
spl205_75,
inference(avatar_split_clause,[],[f2574,f4548]) ).
tff(f4624,plain,
$false,
inference(avatar_smt_refutation,[],[f4551,f4484,f4459,f4440,f4425,f4379,f4271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP334_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 12:57:27 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.26/1.69 % (2818581)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.26/1.69 % (2818629)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3068784494:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.26/1.69 % (2818626)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1286572658:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.26/1.69 % (2818626)Instruction limit reached!
% 4.26/1.69 % (2818626)------------------------------
% 4.26/1.69 % (2818626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818626)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818626)Termination reason: Instruction limit
% 4.26/1.69 % (2818626)Termination phase: Property scanning
% 4.26/1.69 % (2818626)Time elapsed: 0.010 s
% 4.26/1.69 % (2818626)Peak memory usage: 85 MB
% 4.26/1.69 % (2818626)Instructions burned: 13 (million)
% 4.26/1.69 % (2818628)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1947096543:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.26/1.69 % (2818633)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2064021185:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.26/1.69 % (2818633)Instruction limit reached!
% 4.26/1.69 % (2818633)------------------------------
% 4.26/1.69 % (2818633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818633)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818633)Termination reason: Instruction limit
% 4.26/1.69 % (2818633)Termination phase: Property scanning
% 4.26/1.69 % (2818633)Time elapsed: 0.006 s
% 4.26/1.69 % (2818633)Peak memory usage: 86 MB
% 4.26/1.69 % (2818633)Instructions burned: 5 (million)
% 4.26/1.69 % (2818630)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2860130289:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.26/1.69 % (2818636)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3972724866:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.26/1.69 % (2818630)Instruction limit reached!
% 4.26/1.69 % (2818630)------------------------------
% 4.26/1.69 % (2818630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818630)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818630)Termination reason: Instruction limit
% 4.26/1.69 % (2818630)Termination phase: Property scanning
% 4.26/1.69 % (2818630)Time elapsed: 0.007 s
% 4.26/1.69 % (2818630)Peak memory usage: 85 MB
% 4.26/1.69 % (2818630)Instructions burned: 11 (million)
% 4.26/1.69 % (2818637)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1018645752:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.26/1.69 % (2818629)Instruction limit reached!
% 4.26/1.69 % (2818629)------------------------------
% 4.26/1.69 % (2818629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818629)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818629)Termination reason: Instruction limit
% 4.26/1.69 % (2818629)Termination phase: Saturation
% 4.26/1.69 % (2818629)Time elapsed: 0.104 s
% 4.26/1.69 % (2818629)Peak memory usage: 119 MB
% 4.26/1.69 % (2818629)Instructions burned: 202 (million)
% 4.26/1.69 % (2818636)Instruction limit reached!
% 4.26/1.69 % (2818636)------------------------------
% 4.26/1.69 % (2818636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818636)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818636)Termination reason: Instruction limit
% 4.26/1.69 % (2818636)Termination phase: Property scanning
% 4.26/1.69 % (2818636)Time elapsed: 0.043 s
% 4.26/1.69 % (2818636)Peak memory usage: 88 MB
% 4.26/1.69 % (2818636)Instructions burned: 46 (million)
% 4.26/1.69 % (2818637)Instruction limit reached!
% 4.26/1.69 % (2818637)------------------------------
% 4.26/1.69 % (2818637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818637)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818637)Termination reason: Instruction limit
% 4.26/1.69 % (2818637)Termination phase: Preprocessing 3
% 4.26/1.69 % (2818637)Time elapsed: 0.032 s
% 4.26/1.69 % (2818637)Peak memory usage: 87 MB
% 4.26/1.69 % (2818637)Instructions burned: 33 (million)
% 4.26/1.69 % (2818628)First to succeed.
% 4.26/1.69 % (2818628)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2818581"
% 4.26/1.69 % (2818644)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=496851210:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.26/1.69 % (2818644)Instruction limit reached!
% 4.26/1.69 % (2818644)------------------------------
% 4.26/1.69 % (2818644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818644)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818644)Termination reason: Instruction limit
% 4.26/1.69 % (2818644)Termination phase: SInE selection
% 4.26/1.69 % (2818644)Time elapsed: 0.014 s
% 4.26/1.69 % (2818644)Peak memory usage: 86 MB
% 4.26/1.69 % (2818644)Instructions burned: 14 (million)
% 4.26/1.69 % (2818652)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1480736277:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.26/1.69 % (2818652)Instruction limit reached!
% 4.26/1.69 % (2818652)------------------------------
% 4.26/1.69 % (2818652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818652)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818652)Termination reason: Instruction limit
% 4.26/1.69 % (2818652)Termination phase: shuffling
% 4.26/1.69 % (2818652)Time elapsed: 0.010 s
% 4.26/1.69 % (2818652)Peak memory usage: 86 MB
% 4.26/1.69 % (2818652)Instructions burned: 16 (million)
% 4.26/1.69 % (2818657)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2243396338:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 4.26/1.69 % (2818657)Instruction limit reached!
% 4.26/1.69 % (2818657)------------------------------
% 4.26/1.69 % (2818657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818657)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818657)Termination reason: Instruction limit
% 4.26/1.69 % (2818657)Termination phase: Unused predicate definition removal
% 4.26/1.69 % (2818657)Time elapsed: 0.012 s
% 4.26/1.69 % (2818657)Peak memory usage: 86 MB
% 4.26/1.69 % (2818657)Instructions burned: 26 (million)
% 4.26/1.69 % (2818651)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=51179855:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.26/1.69 % (2818658)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=4301393:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 4.26/1.69 % (2818651)Instruction limit reached!
% 4.26/1.69 % (2818651)------------------------------
% 4.26/1.69 % (2818651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818651)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818651)Termination reason: Instruction limit
% 4.26/1.69 % (2818651)Termination phase: Preprocessing 3
% 4.26/1.69 % (2818651)Time elapsed: 0.029 s
% 4.26/1.69 % (2818651)Peak memory usage: 87 MB
% 4.26/1.69 % (2818651)Instructions burned: 29 (million)
% 4.26/1.69 % (2818658)Instruction limit reached!
% 4.26/1.69 % (2818658)------------------------------
% 4.26/1.69 % (2818658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818658)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818658)Termination reason: Instruction limit
% 4.26/1.69 % (2818658)Termination phase: Naming
% 4.26/1.69 % (2818658)Time elapsed: 0.016 s
% 4.26/1.69 % (2818658)Peak memory usage: 87 MB
% 4.26/1.69 % (2818658)Instructions burned: 28 (million)
% 4.26/1.69 % (2818659)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2132535381:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 4.26/1.69 % (2818659)Instruction limit reached!
% 4.26/1.69 % (2818659)------------------------------
% 4.26/1.69 % (2818659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818659)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818659)Termination reason: Instruction limit
% 4.26/1.69 % (2818659)Termination phase: Property scanning
% 4.26/1.69 % (2818659)Time elapsed: 0.062 s
% 4.26/1.69 % (2818659)Peak memory usage: 88 MB
% 4.26/1.69 % (2818659)Instructions burned: 85 (million)
% 4.26/1.69 % (2818670)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3463171456:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 4.26/1.69 % (2818670)Instruction limit reached!
% 4.26/1.69 % (2818670)------------------------------
% 4.26/1.69 % (2818670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818670)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818670)Termination reason: Instruction limit
% 4.26/1.69 % (2818670)Termination phase: Property scanning
% 4.26/1.69 % (2818670)Time elapsed: 0.003 s
% 4.26/1.69 % (2818670)Peak memory usage: 86 MB
% 4.26/1.69 % (2818670)Instructions burned: 6 (million)
% 4.26/1.69 % (2818667)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1231671053:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 4.26/1.69 % (2818667)Instruction limit reached!
% 4.26/1.69 % (2818667)------------------------------
% 4.26/1.69 % (2818667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818667)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818667)Termination reason: Instruction limit
% 4.26/1.69 % (2818667)Termination phase: shuffling
% 4.26/1.69 % (2818667)Time elapsed: 0.003 s
% 4.26/1.69 % (2818667)Peak memory usage: 85 MB
% 4.26/1.69 % (2818667)Instructions burned: 2 (million)
% 4.26/1.69 % (2818668)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3974995170:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 4.26/1.69 % (2818673)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=541583469:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 4.26/1.69 % (2818674)lrs+10_1_thi=all:si=on:fd=off:random_seed=2481526286:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 4.26/1.69 % (2818673)Instruction limit reached!
% 4.26/1.69 % (2818673)------------------------------
% 4.26/1.69 % (2818673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818673)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818673)Termination reason: Instruction limit
% 4.26/1.69 % (2818673)Termination phase: Property scanning
% 4.26/1.69 % (2818673)Time elapsed: 0.051 s
% 4.26/1.69 % (2818673)Peak memory usage: 88 MB
% 4.26/1.69 % (2818673)Instructions burned: 67 (million)
% 4.26/1.69 % (2818674)Instruction limit reached!
% 4.26/1.69 % (2818674)------------------------------
% 4.26/1.69 % (2818674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.69 % (2818674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.69 % (2818674)CaDiCaL version: 2.1.3
% 4.26/1.69 % (2818674)Termination reason: Instruction limit
% 4.26/1.69 % (2818674)Termination phase: Preprocessing 3
% 4.26/1.69 % (2818674)Time elapsed: 0.042 s
% 4.26/1.69 % (2818674)Peak memory usage: 87 MB
% 4.26/1.69 % (2818674)Instructions burned: 53 (million)
% 4.26/1.69 % (2818628)Refutation found. Thanks to Tanya!
% 4.26/1.69 % SZS status Theorem for theBenchmark
% 4.26/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 5.75/1.97 % (2818628)------------------------------
% 5.75/1.97 % (2818628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.97 % (2818628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.97 % (2818628)CaDiCaL version: 2.1.3
% 5.75/1.97 % (2818628)Termination reason: Refutation
% 5.75/1.97 % (2818628)Time elapsed: 0.155 s
% 5.75/1.97 % (2818628)Peak memory usage: 118 MB
% 5.75/1.97 % (2818628)Instructions burned: 142 (million)
% 5.75/1.97 % (2818628)------------------------------
% 5.75/1.97 % (2818628)------------------------------
% 5.75/1.97 % (2818581)Success in time 0.774 s
% 5.75/1.97 % Vampire exiting
%------------------------------------------------------------------------------