%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW834_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:37:54 PM UTC 2026
% Result : Unsatisfiable 5.08s 1.76s
% Output : Refutation 6.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 12 unt; 0 typ; 7 def)
% Number of atoms : 78 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 42 ~; 24 |; 5 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 70 ( 28 atm; 7 fun; 32 num; 3 var)
% Number of types : 11 ( 9 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 206 ( 202 usr; 39 con; 0-4 aty)
% Number of variables : 3 ( 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'S2': $tType ).
tff(type_def_6,type,
'S8': $tType ).
tff(type_def_7,type,
'S9': $tType ).
tff(type_def_8,type,
'S4': $tType ).
tff(type_def_9,type,
'S6': $tType ).
tff(type_def_10,type,
'S5': $tType ).
tff(type_def_11,type,
'S1': $tType ).
tff(type_def_12,type,
'S3': $tType ).
tff(type_def_13,type,
'S7': $tType ).
tff(func_def_0,type,
f18: 'S7' ).
tff(func_def_1,type,
f22: ( 'S9' * $int ) > $int ).
tff(func_def_2,type,
f16: 'S6' ).
tff(func_def_3,type,
f11: 'S2' ).
tff(func_def_4,type,
f13: ( 'S5' * $real ) > 'S3' ).
tff(func_def_5,type,
f4: 'S2' ).
tff(func_def_6,type,
f26: 'S2' ).
tff(func_def_7,type,
f10: 'S2' ).
tff(func_def_8,type,
f20: 'S8' ).
tff(func_def_9,type,
f9: 'S2' ).
tff(func_def_10,type,
f19: ( 'S8' * 'S4' ) > $int ).
tff(func_def_11,type,
f6: 'S2' ).
tff(func_def_12,type,
f3: ( 'S2' * $real ) > $real ).
tff(func_def_13,type,
f8: 'S2' ).
tff(func_def_14,type,
f23: 'S9' ).
tff(func_def_15,type,
f5: $real ).
tff(func_def_16,type,
f1: 'S1' ).
tff(func_def_17,type,
f7: $real ).
tff(func_def_18,type,
f21: 'S2' ).
tff(func_def_19,type,
f24: 'S2' ).
tff(func_def_20,type,
f2: 'S1' ).
tff(func_def_21,type,
f15: ( 'S6' * $int ) > 'S4' ).
tff(func_def_22,type,
f12: ( 'S3' * 'S4' ) > $real ).
tff(func_def_23,type,
f17: ( 'S7' * $int ) > $real ).
tff(func_def_24,type,
f14: 'S5' ).
tff(func_def_25,type,
f25: ( 'S2' * $real * $real ) > 'S1' ).
tff(func_def_43,type,
sK0: $real > $real ).
tff(func_def_44,type,
sK1: $real > $real ).
tff(func_def_45,type,
sK2: ( $real * $real ) > $real ).
tff(func_def_46,type,
sK3: ( $real * $real ) > $real ).
tff(func_def_47,type,
sK4: ( $real * $real ) > $real ).
tff(func_def_48,type,
sK5: $real > $real ).
tff(func_def_49,type,
sK6: 'S2' > $real ).
tff(func_def_50,type,
sK7: $real ).
tff(func_def_51,type,
sK8: $real > $real ).
tff(func_def_52,type,
sK9: $real > $real ).
tff(func_def_53,type,
sK10: $real > $real ).
tff(func_def_54,type,
sK11: $real > $real ).
tff(func_def_55,type,
sK12: $real > 'S4' ).
tff(func_def_56,type,
sK13: ( $real * $real ) > 'S4' ).
tff(func_def_57,type,
sK14: $real > $real ).
tff(func_def_58,type,
sK15: $real > 'S4' ).
tff(func_def_59,type,
sK16: $real > $real ).
tff(func_def_60,type,
sK17: ( $real * $real * $real ) > $real ).
tff(func_def_61,type,
sK18: ( $real * $real * $real ) > $real ).
tff(func_def_62,type,
sK19: ( $real * $real * $real ) > 'S4' ).
tff(func_def_63,type,
sK20: $real > $real ).
tff(func_def_64,type,
sK21: $real > $real ).
tff(func_def_65,type,
sK22: ( $int * $int ) > $int ).
tff(func_def_66,type,
sK23: $real ).
tff(func_def_67,type,
sK24: ( $real * $real ) > 'S4' ).
tff(func_def_68,type,
sK25: ( $real * $real * $real * $real ) > 'S4' ).
tff(func_def_69,type,
sK26: ( $real * $real * $real * $real ) > $real ).
tff(func_def_70,type,
sK27: ( 'S4' * $real ) > $real ).
tff(func_def_71,type,
sK28: $real > $real ).
tff(func_def_72,type,
sK29: $real > $real ).
tff(func_def_73,type,
sK30: ( $real * $real ) > 'S4' ).
tff(func_def_74,type,
sK31: $real ).
tff(func_def_75,type,
sK32: $real > $real ).
tff(func_def_76,type,
sK33: $real > $real ).
tff(func_def_77,type,
sK34: $real > $real ).
tff(func_def_78,type,
sK35: ( $real * $real * $real * $real ) > 'S4' ).
tff(func_def_79,type,
sK36: $real > $real ).
tff(func_def_80,type,
sK37: $real > $real ).
tff(func_def_81,type,
sK38: $real > $real ).
tff(func_def_82,type,
sK39: $real > $real ).
tff(func_def_83,type,
sK40: $real ).
tff(func_def_84,type,
sK41: ( $real * $real ) > 'S4' ).
tff(func_def_85,type,
sK42: ( $real * $real ) > $real ).
tff(func_def_86,type,
sK43: ( $real * $real * $real * $real ) > $real ).
tff(func_def_87,type,
sK44: ( $real * $real ) > $real ).
tff(func_def_88,type,
sK45: $real > $real ).
tff(func_def_89,type,
sK46: $real > $real ).
tff(func_def_90,type,
sK47: $real > $real ).
tff(func_def_91,type,
sK48: $real > $real ).
tff(func_def_92,type,
sK49: $real > 'S4' ).
tff(func_def_93,type,
sK50: ( $real * $real ) > 'S4' ).
tff(func_def_94,type,
sK51: ( $real * $real ) > $real ).
tff(func_def_95,type,
sK52: $real > $real ).
tff(func_def_96,type,
sK53: $real > $real ).
tff(func_def_97,type,
sK54: $real > $real ).
tff(func_def_98,type,
sK55: ( $real * $real ) > $real ).
tff(func_def_99,type,
sK56: ( $real * $real ) > $real ).
tff(func_def_100,type,
sK57: $real ).
tff(func_def_101,type,
sK58: $real > $real ).
tff(func_def_102,type,
sK59: $real > $real ).
tff(func_def_103,type,
sK60: $real > $real ).
tff(func_def_104,type,
sK61: $real > $real ).
tff(func_def_105,type,
sK62: $real > $real ).
tff(func_def_106,type,
sK63: $real > 'S4' ).
tff(func_def_107,type,
sK64: ( $real * $real ) > $real ).
tff(func_def_108,type,
sK65: ( $real * $real ) > 'S4' ).
tff(func_def_109,type,
sK66: ( $real * $real ) > $real ).
tff(func_def_110,type,
sK67: ( $real * $real ) > $real ).
tff(func_def_111,type,
sK68: ( $real * $real ) > $real ).
tff(func_def_112,type,
sK69: ( $real * $real ) > $real ).
tff(func_def_113,type,
sK70: $real > $real ).
tff(func_def_114,type,
sK71: $real ).
tff(func_def_115,type,
sK72: ( $real * $real ) > $real ).
tff(func_def_116,type,
sK73: ( $real * $real ) > $real ).
tff(func_def_117,type,
sK74: ( $real * $real ) > 'S4' ).
tff(func_def_118,type,
sK75: $real > $real ).
tff(func_def_119,type,
sK76: $real > $real ).
tff(func_def_120,type,
sK77: $real > $real ).
tff(func_def_121,type,
sK78: $real ).
tff(func_def_122,type,
sK79: $real > $real ).
tff(func_def_123,type,
sK80: $real > $real ).
tff(func_def_124,type,
sK81: $real ).
tff(func_def_125,type,
sK82: ( $real * $real ) > 'S4' ).
tff(func_def_126,type,
sK83: ( $real * $real ) > $real ).
tff(func_def_127,type,
sK84: ( $real * $real ) > $real ).
tff(func_def_128,type,
sK85: ( $real * $real ) > $real ).
tff(func_def_129,type,
sK86: ( $real * $real ) > $real ).
tff(func_def_130,type,
sK87: ( $real * $int ) > $real ).
tff(func_def_131,type,
sK88: ( $real * $real ) > $real ).
tff(func_def_132,type,
sK89: ( $real * $real ) > $real ).
tff(func_def_133,type,
sK90: ( $real * $real ) > $real ).
tff(func_def_134,type,
sK91: $real > $real ).
tff(func_def_135,type,
sK92: $real > $real ).
tff(func_def_136,type,
sK93: $real > $real ).
tff(func_def_137,type,
sK94: $real > $real ).
tff(func_def_138,type,
sK95: $real > $real ).
tff(func_def_139,type,
sK96: $real > $real ).
tff(func_def_140,type,
sK97: $real > $real ).
tff(func_def_141,type,
sK98: $real > $real ).
tff(func_def_142,type,
sK99: $real > $real ).
tff(func_def_143,type,
sK100: $real > $real ).
tff(func_def_144,type,
sK101: ( $real * $real * $real ) > $real ).
tff(func_def_145,type,
sK102: ( $real * $real * $real ) > $real ).
tff(func_def_146,type,
sK103: ( $real * $real * $real ) > 'S4' ).
tff(func_def_147,type,
sK104: ( $real * $real ) > 'S4' ).
tff(func_def_148,type,
sK105: $real > $real ).
tff(func_def_149,type,
sK106: $real > $real ).
tff(func_def_150,type,
sK107: $real ).
tff(func_def_151,type,
sK108: $real > $real ).
tff(func_def_152,type,
sK109: $real > $real ).
tff(func_def_153,type,
sK110: $real > $real ).
tff(func_def_154,type,
sK111: $real > $real ).
tff(func_def_155,type,
sK112: ( $real * $real ) > 'S4' ).
tff(func_def_156,type,
sK113: $real > $real ).
tff(func_def_157,type,
sK114: $real > $real ).
tff(func_def_158,type,
sK115: $real > 'S4' ).
tff(func_def_159,type,
sK116: $real > $real ).
tff(func_def_160,type,
sK117: $real > $real ).
tff(func_def_161,type,
sK118: $real > 'S4' ).
tff(func_def_162,type,
sK119: ( $real * $real ) > 'S4' ).
tff(func_def_163,type,
sK120: ( $real * 'S4' ) > $real ).
tff(func_def_164,type,
sK121: $real > $real ).
tff(func_def_165,type,
sK122: $real ).
tff(func_def_166,type,
sK123: ( $real * $real ) > $real ).
tff(func_def_167,type,
sK124: ( $real * $real ) > $real ).
tff(func_def_168,type,
sK125: $real ).
tff(func_def_169,type,
sK126: $real > $real ).
tff(func_def_170,type,
sK127: $real ).
tff(func_def_171,type,
sK128: ( $real * $real * $real * $real ) > $real ).
tff(func_def_172,type,
sK129: ( $real * $real ) > $real ).
tff(func_def_173,type,
sK130: $real > $real ).
tff(func_def_174,type,
sK131: $real > $real ).
tff(func_def_175,type,
sK132: $real > $real ).
tff(func_def_176,type,
sK133: $real > $real ).
tff(func_def_177,type,
sK134: ( $real * $real ) > $real ).
tff(func_def_178,type,
sK135: ( $real * $real ) > $real ).
tff(func_def_179,type,
sK136: ( $real * $real ) > $real ).
tff(func_def_180,type,
sK137: $real > $real ).
tff(func_def_181,type,
sK138: $real > $real ).
tff(func_def_182,type,
sK139: $real ).
tff(func_def_183,type,
sK140: $real > $real ).
tff(func_def_184,type,
sK141: ( $real * $real ) > $real ).
tff(func_def_185,type,
sK142: ( $real * $real ) > $real ).
tff(func_def_186,type,
sK143: ( $real * $real ) > 'S4' ).
tff(func_def_187,type,
sK144: ( $real * $real ) > $real ).
tff(func_def_188,type,
sK145: $real > $real ).
tff(func_def_189,type,
sK146: ( $real * $real ) > $real ).
tff(func_def_190,type,
sK147: ( $real * $real ) > $real ).
tff(func_def_191,type,
sK148: $real > $real ).
tff(func_def_192,type,
sK149: ( 'S4' * $real ) > $real ).
tff(func_def_193,type,
sK150: $real > $real ).
tff(func_def_194,type,
sK151: ( $real * $real ) > 'S4' ).
tff(func_def_195,type,
sK152: ( $real * $real ) > $real ).
tff(func_def_196,type,
sK153: $real > 'S4' ).
tff(func_def_197,type,
sK154: $real ).
tff(func_def_198,type,
sK155: $real > 'S4' ).
tff(func_def_199,type,
sK156: ( $real * 'S2' * $real * $real ) > $real ).
tff(func_def_200,type,
sK157: ( 'S2' * $real ) > $real ).
tff(func_def_201,type,
sK158: $real > 'S4' ).
tff(func_def_202,type,
sK159: $real > $real ).
tff(func_def_203,type,
sK160: $real > $real ).
tff(func_def_204,type,
sK161: $real > $real ).
tff(func_def_205,type,
sK162: $real ).
tff(func_def_206,type,
sK163: $real ).
tff(func_def_207,type,
sK164: $real > $real ).
tff(func_def_208,type,
sK165: ( $real * $real ) > 'S4' ).
tff(func_def_209,type,
sK166: $real ).
tff(func_def_210,type,
sK167: $real ).
tff(func_def_211,type,
sK168: ( $real * $real * $real * $real ) > 'S4' ).
tff(func_def_212,type,
sK169: ( $real * $real ) > 'S4' ).
tff(func_def_213,type,
sK170: $real > $real ).
tff(func_def_214,type,
sK171: $real > $real ).
tff(func_def_215,type,
sK172: $real > $real ).
tff(func_def_216,type,
sK173: $real > $real ).
tff(func_def_217,type,
sK174: $real > $real ).
tff(func_def_218,type,
sK175: $real > $real ).
tff(f2,axiom,
~ ( ( f3(f6,f5) != 1/1 )
| ( f3(f4,f5) != 0/1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f4,axiom,
( ( f5 = f7 )
=> ( f3(f6,f5) != 1/1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).
tff(f8,axiom,
$less(0/1,f5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8) ).
tff(f9,axiom,
$less(f5,$product(2/1,f7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9) ).
tff(f11,axiom,
? [X0: $real] :
( ( X0 = 0/1 )
& ( $less(X0,f5)
=> ( $less(f5,f7)
=> ( f3(f4,f5) != X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
( $less(f7,f5)
=> ( $less(f5,$product(2/1,f7))
=> ( f3(f4,f5) != 0/1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f449,plain,
? [X0: $real] :
( ( X0 = 0/1 )
& ( ( f3(f4,f5) != X0 )
| ~ $less(f5,f7)
| ~ $less(X0,f5) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f450,plain,
? [X0: $real] :
( ( ~ $less(X0,f5)
| ( f3(f4,f5) != X0 )
| ~ $less(f5,f7) )
& ( X0 = 0/1 ) ),
inference(flattening,[],[f449]) ).
tff(f465,plain,
( ( f3(f4,f5) != 0/1 )
| ~ $less(f5,$product(2/1,f7))
| ~ $less(f7,f5) ),
inference(ennf_transformation,[],[f12]) ).
tff(f466,plain,
( ~ $less(f7,f5)
| ~ $less(f5,$product(2/1,f7))
| ( f3(f4,f5) != 0/1 ) ),
inference(flattening,[],[f465]) ).
tff(f485,plain,
( ( f3(f4,f5) = 0/1 )
& ( f3(f6,f5) = 1/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f507,plain,
( ( f3(f6,f5) != 1/1 )
| ( f5 != f7 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f668,plain,
( ( ~ $less(sK78,f5)
| ( f3(f4,f5) != sK78 )
| ~ $less(f5,f7) )
& ( 0/1 = sK78 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(X0,sK78)],[f450]) ).
tff(f851,plain,
$less(f5,$product(2/1,f7)),
inference(cnf_transformation,[],[f9]) ).
tff(f935,plain,
f3(f6,f5) = 1/1,
inference(cnf_transformation,[],[f485]) ).
tff(f936,plain,
f3(f4,f5) = 0/1,
inference(cnf_transformation,[],[f485]) ).
tff(f1000,plain,
0/1 = sK78,
inference(cnf_transformation,[],[f668]) ).
tff(f1001,plain,
( ~ $less(sK78,f5)
| ( f3(f4,f5) != sK78 )
| ~ $less(f5,f7) ),
inference(cnf_transformation,[],[f668]) ).
tff(f1018,plain,
$less(0/1,f5),
inference(cnf_transformation,[],[f8]) ).
tff(f1168,plain,
( ( f5 != f7 )
| ( f3(f6,f5) != 1/1 ) ),
inference(cnf_transformation,[],[f507]) ).
tff(f1261,plain,
( ( f3(f4,f5) != 0/1 )
| ~ $less(f7,f5)
| ~ $less(f5,$product(2/1,f7)) ),
inference(cnf_transformation,[],[f466]) ).
tff(f1408,plain,
( ~ $less(0/1,f5)
| ~ $less(f5,f7)
| ( f3(f4,f5) != 0/1 ) ),
inference(definition_unfolding,[],[f1001,f1000,f1000]) ).
tff(f1665,definition,
( spl176_12
<=> $less(f5,f7) ),
introduced(definition,[new_symbols(definition,[spl176_12])],[avatar_definition]) ).
tff(f1669,definition,
( spl176_13
<=> $less(0/1,f5) ),
introduced(definition,[new_symbols(definition,[spl176_13])],[avatar_definition]) ).
tff(f1673,definition,
( spl176_14
<=> ( f3(f4,f5) = 0/1 ) ),
introduced(definition,[new_symbols(definition,[spl176_14])],[avatar_definition]) ).
tff(f1703,definition,
( spl176_20
<=> $less(f7,f5) ),
introduced(definition,[new_symbols(definition,[spl176_20])],[avatar_definition]) ).
tff(f1707,definition,
( spl176_21
<=> $less(f5,$product(2/1,f7)) ),
introduced(definition,[new_symbols(definition,[spl176_21])],[avatar_definition]) ).
tff(f1756,plain,
spl176_14,
inference(avatar_split_clause,[],[f936,f1673]) ).
tff(f1762,plain,
spl176_21,
inference(avatar_split_clause,[],[f851,f1707]) ).
tff(f1789,definition,
( spl176_37
<=> ( f3(f6,f5) = 1/1 ) ),
introduced(definition,[new_symbols(definition,[spl176_37])],[avatar_definition]) ).
tff(f1793,definition,
( spl176_38
<=> ( f5 = f7 ) ),
introduced(definition,[new_symbols(definition,[spl176_38])],[avatar_definition]) ).
tff(f1797,plain,
( ~ spl176_20
| ~ spl176_14
| ~ spl176_21 ),
inference(avatar_split_clause,[],[f1261,f1707,f1673,f1703]) ).
tff(f1798,plain,
( ~ spl176_12
| ~ spl176_14
| ~ spl176_13 ),
inference(avatar_split_clause,[],[f1408,f1669,f1673,f1665]) ).
tff(f1799,plain,
( ~ spl176_38
| ~ spl176_37 ),
inference(avatar_split_clause,[],[f1168,f1789,f1793]) ).
tff(f1840,plain,
spl176_37,
inference(avatar_split_clause,[],[f935,f1789]) ).
tff(f1856,plain,
spl176_13,
inference(avatar_split_clause,[],[f1018,f1669]) ).
tff(f1902,plain,
$false,
inference(avatar_smt_refutation,[],[f1856,f1840,f1799,f1798,f1797,f1762,f1756]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW834_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n007.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 14:29:10 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/1.76 % (2428310)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.08/1.76 % (2428320)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1086966220:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.08/1.76 % (2428320)Instruction limit reached!
% 5.08/1.76 % (2428320)------------------------------
% 5.08/1.76 % (2428320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428320)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428320)Termination reason: Instruction limit
% 5.08/1.76 % (2428320)Termination phase: Including theory axioms
% 5.08/1.76 % (2428320)Time elapsed: 0.006 s
% 5.08/1.76 % (2428320)Peak memory usage: 86 MB
% 5.08/1.76 % (2428320)Instructions burned: 13 (million)
% 5.08/1.76 % (2428323)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4158847676:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.08/1.76 % (2428326)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2782391572:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.08/1.76 % (2428325)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3915522795:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.08/1.76 % (2428322)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3883463206:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.08/1.76 % (2428324)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3710618261:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.08/1.76 % (2428321)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2729534496:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.08/1.76 % (2428324)Instruction limit reached!
% 5.08/1.76 % (2428324)------------------------------
% 5.08/1.76 % (2428324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428324)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428324)Termination reason: Instruction limit
% 5.08/1.76 % (2428324)Termination phase: Property scanning
% 5.08/1.76 % (2428324)Time elapsed: 0.004 s
% 5.08/1.76 % (2428324)Peak memory usage: 85 MB
% 5.08/1.76 % (2428324)Instructions burned: 4 (million)
% 5.08/1.76 % (2428323)Instruction limit reached!
% 5.08/1.76 % (2428323)------------------------------
% 5.08/1.76 % (2428323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428323)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428323)Termination reason: Instruction limit
% 5.08/1.76 % (2428323)Termination phase: Property scanning
% 5.08/1.76 % (2428323)Time elapsed: 0.007 s
% 5.08/1.76 % (2428323)Peak memory usage: 85 MB
% 5.08/1.76 % (2428323)Instructions burned: 7 (million)
% 5.08/1.76 % (2428326)Instruction limit reached!
% 5.08/1.76 % (2428326)------------------------------
% 5.08/1.76 % (2428326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428326)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428326)Termination reason: Instruction limit
% 5.08/1.76 % (2428326)Termination phase: Saturation
% 5.08/1.76 % (2428326)Time elapsed: 0.030 s
% 5.08/1.76 % (2428326)Peak memory usage: 88 MB
% 5.08/1.76 % (2428326)Instructions burned: 34 (million)
% 5.08/1.76 % (2428325)Instruction limit reached!
% 5.08/1.76 % (2428325)------------------------------
% 5.08/1.76 % (2428325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428325)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428325)Termination reason: Instruction limit
% 5.08/1.76 % (2428325)Termination phase: Saturation
% 5.08/1.76 % (2428325)Time elapsed: 0.075 s
% 5.08/1.76 % (2428325)Peak memory usage: 112 MB
% 5.08/1.76 % (2428325)Instructions burned: 46 (million)
% 5.08/1.76 % (2428321)First to succeed.
% 5.08/1.76 % (2428321)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2428310"
% 5.08/1.76 % (2428329)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=179956086:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.08/1.76 % (2428329)Refutation not found, incomplete strategy
% 5.08/1.76 % (2428329)------------------------------
% 5.08/1.76 % (2428329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428329)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428329)Termination reason: Refutation not found, incomplete strategy
% 5.08/1.76 % (2428329)Time elapsed: 0.004 s
% 5.08/1.76 % (2428329)Peak memory usage: 88 MB
% 5.08/1.76 % (2428329)Instructions burned: 7 (million)
% 5.08/1.76 % (2428336)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=4102908832:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.08/1.76 % (2428337)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3219864296:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.08/1.76 % (2428336)Instruction limit reached!
% 5.08/1.76 % (2428336)------------------------------
% 5.08/1.76 % (2428336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428336)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428336)Termination reason: Instruction limit
% 5.08/1.76 % (2428336)Termination phase: Property scanning
% 5.08/1.76 % (2428336)Time elapsed: 0.023 s
% 5.08/1.76 % (2428336)Peak memory usage: 87 MB
% 5.08/1.76 % (2428336)Instructions burned: 30 (million)
% 5.08/1.76 % (2428337)Instruction limit reached!
% 5.08/1.76 % (2428337)------------------------------
% 5.08/1.76 % (2428337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428337)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428337)Termination reason: Instruction limit
% 5.08/1.76 % (2428337)Termination phase: Property scanning
% 5.08/1.76 % (2428337)Time elapsed: 0.017 s
% 5.08/1.76 % (2428337)Peak memory usage: 87 MB
% 5.08/1.76 % (2428337)Instructions burned: 17 (million)
% 5.08/1.76 % (2428322)Instruction limit reached!
% 5.08/1.76 % (2428322)------------------------------
% 5.08/1.76 % (2428322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428322)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428322)Termination reason: Instruction limit
% 5.08/1.76 % (2428322)Termination phase: Saturation
% 5.08/1.76 % (2428322)Time elapsed: 0.260 s
% 5.08/1.76 % (2428322)Peak memory usage: 118 MB
% 5.08/1.76 % (2428322)Instructions burned: 201 (million)
% 5.08/1.76 % (2428338)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2915643001:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.08/1.76 % (2428338)Instruction limit reached!
% 5.08/1.76 % (2428338)------------------------------
% 5.08/1.76 % (2428338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428338)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428338)Termination reason: Instruction limit
% 5.08/1.76 % (2428338)Termination phase: Function definition elimination
% 5.08/1.76 % (2428338)Time elapsed: 0.024 s
% 5.08/1.76 % (2428338)Peak memory usage: 87 MB
% 5.08/1.76 % (2428338)Instructions burned: 25 (million)
% 5.08/1.76 % (2428339)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=3035359144:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.08/1.76 % (2428329)------------------------------
% 5.08/1.76 % (2428329)------------------------------
% 5.08/1.76 % (2428339)Instruction limit reached!
% 5.08/1.76 % (2428339)------------------------------
% 5.08/1.76 % (2428339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.76 % (2428339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.76 % (2428339)CaDiCaL version: 2.1.3
% 5.08/1.76 % (2428339)Termination reason: Instruction limit
% 5.08/1.76 % (2428339)Termination phase: Property scanning
% 5.08/1.76 % (2428339)Time elapsed: 0.027 s
% 5.08/1.76 % (2428339)Peak memory usage: 87 MB
% 5.08/1.76 % (2428339)Instructions burned: 27 (million)
% 5.08/1.76 % (2428344)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2491372523:i=85:gtgl=4:rtra=on:gtg=exists_sym_2994 on theBenchmark for (2994ds/85Mi)
% 5.08/1.76 % (2428321)Refutation found. Thanks to Tanya!
% 5.08/1.76 % SZS status Unsatisfiable for theBenchmark
% 5.08/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 6.48/2.03 % (2428321)------------------------------
% 6.48/2.03 % (2428321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/2.03 % (2428321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/2.03 % (2428321)CaDiCaL version: 2.1.3
% 6.48/2.03 % (2428321)Termination reason: Refutation
% 6.48/2.03 % (2428321)Time elapsed: 0.102 s
% 6.48/2.03 % (2428321)Peak memory usage: 118 MB
% 6.48/2.03 % (2428321)Instructions burned: 67 (million)
% 6.48/2.03 % (2428321)------------------------------
% 6.48/2.03 % (2428321)------------------------------
% 6.48/2.03 % (2428310)Success in time 0.796 s
% 6.48/2.03 % Vampire exiting
%------------------------------------------------------------------------------