%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW822_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 : n008.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 01:37:53 PM UTC 2026
% Result : Unsatisfiable 3.37s 1.19s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 17 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 8 ( 0 atm; 0 fun; 6 num; 2 var)
% Number of types : 28 ( 26 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 399 ( 398 usr; 60 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?; 4 :)
% 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,
'S10': $tType ).
tff(type_def_9,type,
'S12': $tType ).
tff(type_def_10,type,
'S4': $tType ).
tff(type_def_11,type,
'S6': $tType ).
tff(type_def_12,type,
'S20': $tType ).
tff(type_def_13,type,
'S23': $tType ).
tff(type_def_14,type,
'S5': $tType ).
tff(type_def_15,type,
'S25': $tType ).
tff(type_def_16,type,
'S1': $tType ).
tff(type_def_17,type,
'S3': $tType ).
tff(type_def_18,type,
'S19': $tType ).
tff(type_def_19,type,
'S13': $tType ).
tff(type_def_20,type,
'S22': $tType ).
tff(type_def_21,type,
'S24': $tType ).
tff(type_def_22,type,
'S14': $tType ).
tff(type_def_23,type,
'S16': $tType ).
tff(type_def_24,type,
'S7': $tType ).
tff(type_def_25,type,
'S17': $tType ).
tff(type_def_26,type,
'S18': $tType ).
tff(type_def_27,type,
'S15': $tType ).
tff(type_def_28,type,
'S26': $tType ).
tff(type_def_29,type,
'S11': $tType ).
tff(type_def_30,type,
'S21': $tType ).
tff(func_def_0,type,
f56: ( 'S20' * $real ) > 'S1' ).
tff(func_def_1,type,
f34: ( 'S17' * 'S10' ) > 'S10' ).
tff(func_def_2,type,
f40: 'S18' ).
tff(func_def_3,type,
f21: 'S6' ).
tff(func_def_4,type,
f25: ( 'S15' * 'S10' ) > 'S2' ).
tff(func_def_5,type,
f65: 'S4' ).
tff(func_def_6,type,
f51: 'S10' ).
tff(func_def_7,type,
f36: 'S16' ).
tff(func_def_8,type,
f15: 'S2' ).
tff(func_def_9,type,
f60: 'S24' ).
tff(func_def_10,type,
f47: ( 'S2' * 'S22' ) > 'S1' ).
tff(func_def_11,type,
f19: ( 'S13' * 'S2' ) > $real ).
tff(func_def_12,type,
f35: 'S17' ).
tff(func_def_13,type,
f29: 'S15' ).
tff(func_def_14,type,
f7: 'S5' ).
tff(func_def_15,type,
f9: ( 'S7' * $int ) > 'S6' ).
tff(func_def_16,type,
f17: ( 'S12' * $real ) > 'S11' ).
tff(func_def_17,type,
f26: 'S15' ).
tff(func_def_18,type,
f57: ( 'S21' * 'S10' ) > 'S1' ).
tff(func_def_19,type,
f37: 'S17' > 'S1' ).
tff(func_def_20,type,
f58: ( 'S22' * 'S2' ) > 'S1' ).
tff(func_def_21,type,
f48: 'S22' ).
tff(func_def_22,type,
f66: ( 'S26' * 'S10' ) > 'S9' ).
tff(func_def_23,type,
f18: 'S12' ).
tff(func_def_24,type,
f20: 'S13' ).
tff(func_def_25,type,
f59: ( 'S24' * $real ) > 'S13' ).
tff(func_def_26,type,
f30: 'S14' ).
tff(func_def_27,type,
f10: 'S7' ).
tff(func_def_28,type,
f31: 'S16' ).
tff(func_def_29,type,
f5: 'S4' ).
tff(func_def_30,type,
f55: ( 'S19' * $int ) > 'S1' ).
tff(func_def_31,type,
f42: 'S19' ).
tff(func_def_32,type,
f39: ( 'S18' * 'S10' ) > 'S17' ).
tff(func_def_33,type,
f41: ( $int * 'S19' ) > 'S1' ).
tff(func_def_34,type,
f22: ( 'S14' * $real ) > $real ).
tff(func_def_35,type,
f43: ( $real * 'S20' ) > 'S1' ).
tff(func_def_36,type,
f63: ( 'S25' * $int ) > 'S8' ).
tff(func_def_37,type,
f3: ( 'S3' * 'S2' ) > 'S2' ).
tff(func_def_38,type,
f52: 'S18' ).
tff(func_def_39,type,
f14: 'S9' ).
tff(func_def_40,type,
f1: 'S1' ).
tff(func_def_41,type,
f62: 'S17' ).
tff(func_def_42,type,
f24: 'S3' ).
tff(func_def_43,type,
f27: ( 'S16' * 'S10' ) > $real ).
tff(func_def_44,type,
f23: 'S14' ).
tff(func_def_45,type,
f50: 'S23' ).
tff(func_def_46,type,
f38: 'S16' > 'S1' ).
tff(func_def_47,type,
f8: ( 'S6' * $int ) > $int ).
tff(func_def_48,type,
f64: 'S25' ).
tff(func_def_49,type,
f49: ( 'S23' * $real ) > 'S14' ).
tff(func_def_50,type,
f6: ( 'S5' * $int ) > 'S2' ).
tff(func_def_51,type,
f12: 'S8' ).
tff(func_def_52,type,
f33: 'S14' ).
tff(func_def_53,type,
f4: ( 'S4' * 'S2' ) > 'S3' ).
tff(func_def_54,type,
f16: ( 'S11' * $real ) > 'S10' ).
tff(func_def_55,type,
f13: ( 'S9' * 'S2' ) > 'S10' ).
tff(func_def_56,type,
f61: 'S18' ).
tff(func_def_57,type,
f2: 'S1' ).
tff(func_def_58,type,
f28: 'S16' ).
tff(func_def_59,type,
f46: 'S21' ).
tff(func_def_60,type,
f67: 'S26' ).
tff(func_def_61,type,
f44: 'S20' ).
tff(func_def_62,type,
f45: ( 'S10' * 'S21' ) > 'S1' ).
tff(func_def_63,type,
f53: 'S4' ).
tff(func_def_64,type,
f54: 'S4' ).
tff(func_def_65,type,
f32: 'S11' ).
tff(func_def_66,type,
f11: ( 'S8' * 'S2' ) > $int ).
tff(func_def_82,type,
sK0: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_83,type,
sK1: 'S10' > $real ).
tff(func_def_84,type,
sK2: $real ).
tff(func_def_85,type,
sK3: ( 'S2' * 'S2' ) > $int ).
tff(func_def_86,type,
sK4: ( 'S2' * 'S2' ) > 'S6' ).
tff(func_def_87,type,
sK5: ( 'S2' * 'S2' ) > $int ).
tff(func_def_88,type,
sK6: 'S2' > $real ).
tff(func_def_89,type,
sK7: ( 'S2' * 'S2' ) > $int ).
tff(func_def_90,type,
sK8: ( 'S2' * 'S2' ) > $int ).
tff(func_def_91,type,
sK9: 'S2' > $int ).
tff(func_def_92,type,
sK10: 'S19' > 'S2' ).
tff(func_def_93,type,
sK11: ( 'S2' * 'S2' ) > $int ).
tff(func_def_94,type,
sK12: ( 'S2' * 'S2' ) > $int ).
tff(func_def_95,type,
sK13: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_96,type,
sK14: ( $real * $real * $real * $real ) > $real ).
tff(func_def_97,type,
sK15: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_98,type,
sK16: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S10' ).
tff(func_def_99,type,
sK17: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_100,type,
sK18: $real ).
tff(func_def_101,type,
sK19: ( 'S2' * 'S2' ) > $int ).
tff(func_def_102,type,
sK20: ( 'S2' * 'S2' ) > $int ).
tff(func_def_103,type,
sK21: ( 'S2' * 'S2' ) > $int ).
tff(func_def_104,type,
sK22: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_105,type,
sK23: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_106,type,
sK24: ( 'S10' * 'S10' ) > 'S14' ).
tff(func_def_107,type,
sK25: ( 'S10' * 'S10' ) > $real ).
tff(func_def_108,type,
sK26: ( 'S10' * 'S10' ) > $real ).
tff(func_def_109,type,
sK27: ( 'S10' * 'S10' ) > 'S14' ).
tff(func_def_110,type,
sK28: 'S10' > $real ).
tff(func_def_111,type,
sK29: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_112,type,
sK30: ( 'S2' * $int * 'S2' ) > 'S8' ).
tff(func_def_113,type,
sK31: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_114,type,
sK32: ( 'S2' * 'S2' ) > $int ).
tff(func_def_115,type,
sK33: $real ).
tff(func_def_116,type,
sK34: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_117,type,
sK35: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_118,type,
sK36: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_119,type,
sK37: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_120,type,
sK38: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_121,type,
sK39: $real ).
tff(func_def_122,type,
sK40: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_123,type,
sK41: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_124,type,
sK42: ( $real * $real ) > 'S2' ).
tff(func_def_125,type,
sK43: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_126,type,
sK44: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_127,type,
sK45: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_128,type,
sK46: ( $real * $real * $real ) > 'S14' ).
tff(func_def_129,type,
sK47: 'S2' > 'S2' ).
tff(func_def_130,type,
sK48: 'S10' > $real ).
tff(func_def_131,type,
sK49: ( 'S2' * 'S2' * $real ) > 'S13' ).
tff(func_def_132,type,
sK50: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_133,type,
sK51: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_134,type,
sK52: $int > $int ).
tff(func_def_135,type,
sK53: ( $real * $real * $real * $real ) > $real ).
tff(func_def_136,type,
sK54: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_137,type,
sK55: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_138,type,
sK56: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_139,type,
sK57: $real ).
tff(func_def_140,type,
sK58: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_141,type,
sK59: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_142,type,
sK60: ( $real * $real * $real ) > 'S14' ).
tff(func_def_143,type,
sK61: $int > $int ).
tff(func_def_144,type,
sK62: $int > $real ).
tff(func_def_145,type,
sK63: ( $real * 'S2' ) > 'S13' ).
tff(func_def_146,type,
sK64: ( $real * 'S2' ) > $real ).
tff(func_def_147,type,
sK65: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_148,type,
sK66: ( $int * $int * $int * $int ) > $int ).
tff(func_def_149,type,
sK67: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_150,type,
sK68: ( 'S2' * $real ) > 'S13' ).
tff(func_def_151,type,
sK69: ( 'S2' * $real ) > $real ).
tff(func_def_152,type,
sK70: 'S2' > $int ).
tff(func_def_153,type,
sK71: ( 'S10' * 'S10' ) > $real ).
tff(func_def_154,type,
sK72: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_155,type,
sK73: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_156,type,
sK74: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_157,type,
sK75: ( $real * $real * $real ) > 'S14' ).
tff(func_def_158,type,
sK76: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_159,type,
sK77: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_160,type,
sK78: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_161,type,
sK79: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_162,type,
sK80: $int > $int ).
tff(func_def_163,type,
sK81: 'S22' > 'S2' ).
tff(func_def_164,type,
sK82: ( $real * $real ) > $real ).
tff(func_def_165,type,
sK83: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_166,type,
sK84: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_167,type,
sK85: ( 'S10' * 'S2' * 'S2' ) > 'S9' ).
tff(func_def_168,type,
sK86: ( $real * $real * $real ) > 'S14' ).
tff(func_def_169,type,
sK87: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_170,type,
sK88: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_171,type,
sK89: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_172,type,
sK90: 'S10' > $real ).
tff(func_def_173,type,
sK91: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_174,type,
sK92: $real > 'S10' ).
tff(func_def_175,type,
sK93: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_176,type,
sK94: $real > $real ).
tff(func_def_177,type,
sK95: ( $real * $real * $real ) > 'S14' ).
tff(func_def_178,type,
sK96: ( $real * $real * $real ) > 'S14' ).
tff(func_def_179,type,
sK97: $real ).
tff(func_def_180,type,
sK98: $real ).
tff(func_def_181,type,
sK99: ( $int * $int ) > 'S2' ).
tff(func_def_182,type,
sK100: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_183,type,
sK101: ( $int * $int * $int ) > 'S6' ).
tff(func_def_184,type,
sK102: 'S10' > $real ).
tff(func_def_185,type,
sK103: 'S10' > 'S10' ).
tff(func_def_186,type,
sK104: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S10' ).
tff(func_def_187,type,
sK105: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_188,type,
sK106: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_189,type,
sK107: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_190,type,
sK108: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_191,type,
sK109: $real > $real ).
tff(func_def_192,type,
sK110: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_193,type,
sK111: ( 'S2' * 'S2' * 'S10' ) > 'S9' ).
tff(func_def_194,type,
sK112: $real ).
tff(func_def_195,type,
sK113: ( $real * $real * $real ) > 'S14' ).
tff(func_def_196,type,
sK114: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_197,type,
sK115: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_198,type,
sK116: ( 'S2' * 'S2' ) > $int ).
tff(func_def_199,type,
sK117: ( 'S2' * 'S2' ) > $int ).
tff(func_def_200,type,
sK118: ( 'S2' * 'S2' ) > $int ).
tff(func_def_201,type,
sK119: 'S10' > $real ).
tff(func_def_202,type,
sK120: ( $real * $real * $real ) > 'S14' ).
tff(func_def_203,type,
sK121: ( $real * $real ) > 'S11' ).
tff(func_def_204,type,
sK122: ( $real * $real ) > $real ).
tff(func_def_205,type,
sK123: ( $real * $real ) > 'S2' ).
tff(func_def_206,type,
sK124: $real ).
tff(func_def_207,type,
sK125: ( $real * $real * $real ) > 'S14' ).
tff(func_def_208,type,
sK126: ( 'S2' * $int ) > 'S8' ).
tff(func_def_209,type,
sK127: ( 'S2' * 'S2' * 'S10' ) > 'S9' ).
tff(func_def_210,type,
sK128: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_211,type,
sK129: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_212,type,
sK130: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_213,type,
sK131: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_214,type,
sK132: $real ).
tff(func_def_215,type,
sK133: $real > $real ).
tff(func_def_216,type,
sK134: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_217,type,
sK135: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_218,type,
sK136: ( 'S2' * 'S2' * $real ) > 'S13' ).
tff(func_def_219,type,
sK137: ( $real * $real ) > 'S2' ).
tff(func_def_220,type,
sK138: ( $int * $int * $int ) > 'S6' ).
tff(func_def_221,type,
sK139: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_222,type,
sK140: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_223,type,
sK141: ( 'S2' * 'S2' ) > $int ).
tff(func_def_224,type,
sK142: ( 'S2' * 'S2' ) > $int ).
tff(func_def_225,type,
sK143: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_226,type,
sK144: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_227,type,
sK145: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_228,type,
sK146: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_229,type,
sK147: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_230,type,
sK148: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_231,type,
sK149: ( 'S2' * $real ) > 'S13' ).
tff(func_def_232,type,
sK150: ( 'S2' * $int ) > 'S8' ).
tff(func_def_233,type,
sK151: ( 'S2' * $int ) > $int ).
tff(func_def_234,type,
sK152: $real ).
tff(func_def_235,type,
sK153: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_236,type,
sK154: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_237,type,
sK155: 'S2' > $int ).
tff(func_def_238,type,
sK156: 'S2' > 'S6' ).
tff(func_def_239,type,
sK157: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_240,type,
sK158: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_241,type,
sK159: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_242,type,
sK160: $real > $real ).
tff(func_def_243,type,
sK161: ( 'S2' * 'S2' ) > $int ).
tff(func_def_244,type,
sK162: ( 'S2' * 'S2' ) > $int ).
tff(func_def_245,type,
sK163: $real ).
tff(func_def_246,type,
sK164: 'S2' > 'S2' ).
tff(func_def_247,type,
sK165: $real ).
tff(func_def_248,type,
sK166: 'S10' > $real ).
tff(func_def_249,type,
sK167: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_250,type,
sK168: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_251,type,
sK169: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_252,type,
sK170: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_253,type,
sK171: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_254,type,
sK172: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_255,type,
sK173: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_256,type,
sK174: ( 'S2' * 'S2' ) > $int ).
tff(func_def_257,type,
sK175: ( 'S2' * $real ) > 'S13' ).
tff(func_def_258,type,
sK176: $real ).
tff(func_def_259,type,
sK177: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_260,type,
sK178: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_261,type,
sK179: ( $int * $int * $int ) > 'S6' ).
tff(func_def_262,type,
sK180: ( $int * $int * $int ) > 'S6' ).
tff(func_def_263,type,
sK181: $real ).
tff(func_def_264,type,
sK182: $real ).
tff(func_def_265,type,
sK183: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_266,type,
sK184: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_267,type,
sK185: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_268,type,
sK186: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_269,type,
sK187: $real > $real ).
tff(func_def_270,type,
sK188: ( $real * $real ) > 'S2' ).
tff(func_def_271,type,
sK189: $real ).
tff(func_def_272,type,
sK190: $real ).
tff(func_def_273,type,
sK191: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_274,type,
sK192: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_275,type,
sK193: $real > $real ).
tff(func_def_276,type,
sK194: ( 'S2' * $int ) > 'S8' ).
tff(func_def_277,type,
sK195: ( $real * 'S2' ) > 'S13' ).
tff(func_def_278,type,
sK196: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_279,type,
sK197: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_280,type,
sK198: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_281,type,
sK199: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_282,type,
sK200: 'S2' > $real ).
tff(func_def_283,type,
sK201: 'S2' > $int ).
tff(func_def_284,type,
sK202: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_285,type,
sK203: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_286,type,
sK204: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_287,type,
sK205: 'S10' > $real ).
tff(func_def_288,type,
sK206: $real > 'S2' ).
tff(func_def_289,type,
sK207: ( 'S10' * 'S2' ) > 'S9' ).
tff(func_def_290,type,
sK208: $int > 'S2' ).
tff(func_def_291,type,
sK209: $int > 'S10' ).
tff(func_def_292,type,
sK210: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_293,type,
sK211: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_294,type,
sK212: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_295,type,
sK213: ( $int * 'S2' ) > 'S8' ).
tff(func_def_296,type,
sK214: ( $int * 'S2' ) > $int ).
tff(func_def_297,type,
sK215: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_298,type,
sK216: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_299,type,
sK217: $real > 'S2' ).
tff(func_def_300,type,
sK218: ( 'S2' * $int ) > $int ).
tff(func_def_301,type,
sK219: ( 'S2' * $int ) > 'S8' ).
tff(func_def_302,type,
sK220: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_303,type,
sK221: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_304,type,
sK222: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S2' ).
tff(func_def_305,type,
sK223: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_306,type,
sK224: $real ).
tff(func_def_307,type,
sK225: 'S10' > $real ).
tff(func_def_308,type,
sK226: ( 'S2' * 'S2' ) > 'S3' ).
tff(func_def_309,type,
sK227: ( 'S2' * $real ) > 'S13' ).
tff(func_def_310,type,
sK228: ( 'S2' * 'S10' ) > 'S9' ).
tff(func_def_311,type,
sK229: ( 'S2' * 'S10' ) > 'S10' ).
tff(func_def_312,type,
sK230: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_313,type,
sK231: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_314,type,
sK232: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_315,type,
sK233: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_316,type,
sK234: ( $real * $real * $real ) > 'S14' ).
tff(func_def_317,type,
sK235: ( $real * $real * $real ) > 'S14' ).
tff(func_def_318,type,
sK236: ( $real * $real ) > $real ).
tff(func_def_319,type,
sK237: $real ).
tff(func_def_320,type,
sK238: ( 'S2' * 'S2' * $real ) > 'S13' ).
tff(func_def_321,type,
sK239: ( 'S2' * 'S2' ) > $int ).
tff(func_def_322,type,
sK240: ( 'S2' * 'S2' ) > $int ).
tff(func_def_323,type,
sK241: ( 'S2' * 'S2' ) > $int ).
tff(func_def_324,type,
sK242: ( 'S2' * $real ) > 'S13' ).
tff(func_def_325,type,
sK243: ( 'S2' * $real ) > $int ).
tff(func_def_326,type,
sK244: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_327,type,
sK245: ( 'S2' * 'S2' ) > $int ).
tff(func_def_328,type,
sK246: ( 'S2' * 'S2' ) > $int ).
tff(func_def_329,type,
sK247: ( 'S2' * 'S2' ) > $int ).
tff(func_def_330,type,
sK248: 'S10' > $real ).
tff(func_def_331,type,
sK249: 'S21' > 'S2' ).
tff(func_def_332,type,
sK250: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_333,type,
sK251: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_334,type,
sK252: ( 'S10' * 'S2' ) > 'S9' ).
tff(func_def_335,type,
sK253: ( 'S10' * 'S2' ) > 'S9' ).
tff(func_def_336,type,
sK254: ( 'S2' * 'S2' ) > $int ).
tff(func_def_337,type,
sK255: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_338,type,
sK256: ( 'S2' * 'S10' ) > 'S9' ).
tff(func_def_339,type,
sK257: ( $real * $real * $real ) > 'S14' ).
tff(func_def_340,type,
sK258: ( 'S10' * 'S10' ) > 'S2' ).
tff(func_def_341,type,
sK259: ( $real * $real * $real ) > 'S14' ).
tff(func_def_342,type,
sK260: 'S20' > 'S2' ).
tff(func_def_343,type,
sK261: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_344,type,
sK262: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_345,type,
sK263: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_346,type,
sK264: ( $real * $real * $real * $real ) > 'S14' ).
tff(func_def_347,type,
sK265: ( $int * $int * $int ) > 'S6' ).
tff(func_def_348,type,
sK266: ( 'S2' * 'S2' ) > $int ).
tff(func_def_349,type,
sK267: ( 'S2' * 'S2' ) > $int ).
tff(func_def_350,type,
sK268: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_351,type,
sK269: ( $int * 'S2' ) > 'S8' ).
tff(func_def_352,type,
sK270: 'S10' > 'S2' ).
tff(func_def_353,type,
sK271: ( $real * $real ) > $real ).
tff(func_def_354,type,
sK272: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_355,type,
sK273: ( 'S2' * $int ) > 'S8' ).
tff(func_def_356,type,
sK274: $int > 'S2' ).
tff(func_def_357,type,
sK275: ( 'S2' * 'S2' * $int ) > 'S8' ).
tff(func_def_358,type,
sK276: ( 'S2' * 'S10' ) > $int ).
tff(func_def_359,type,
sK277: ( 'S2' * 'S10' ) > 'S9' ).
tff(func_def_360,type,
sK278: 'S2' > $int ).
tff(func_def_361,type,
sK279: ( 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_362,type,
sK280: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_363,type,
sK281: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_364,type,
sK282: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_365,type,
sK283: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_366,type,
sK284: ( $int * $int * $int * $int ) > 'S6' ).
tff(func_def_367,type,
sK285: 'S2' > $real ).
tff(func_def_368,type,
sK286: ( $real * 'S2' ) > 'S13' ).
tff(func_def_369,type,
sK287: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_370,type,
sK288: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_371,type,
sK289: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_372,type,
sK290: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_373,type,
sK291: ( 'S2' * 'S2' ) > $int ).
tff(func_def_374,type,
sK292: ( 'S2' * 'S2' ) > $int ).
tff(func_def_375,type,
sK293: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_376,type,
sK294: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_377,type,
sK295: ( $int * 'S2' ) > 'S8' ).
tff(func_def_378,type,
sK296: ( 'S2' * 'S2' ) > $int ).
tff(func_def_379,type,
sK297: ( 'S2' * 'S2' ) > $int ).
tff(func_def_380,type,
sK298: ( 'S2' * 'S2' ) > $int ).
tff(func_def_381,type,
sK299: ( 'S2' * 'S2' * 'S2' ) > 'S6' ).
tff(func_def_382,type,
sK300: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_383,type,
sK301: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_384,type,
sK302: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_385,type,
sK303: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_386,type,
sK304: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_387,type,
sK305: $real > $real ).
tff(func_def_388,type,
sK306: 'S10' > $real ).
tff(func_def_389,type,
sK307: $int > 'S2' ).
tff(func_def_390,type,
sK308: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_391,type,
sK309: ( 'S2' * 'S2' ) > 'S2' ).
tff(func_def_392,type,
sK310: ( 'S2' * 'S2' * 'S2' ) > 'S3' ).
tff(func_def_393,type,
sK311: $real ).
tff(func_def_394,type,
sK312: 'S2' > 'S10' ).
tff(func_def_395,type,
sK313: 'S10' > 'S2' ).
tff(func_def_396,type,
sK314: ( $real * $real * $real ) > 'S14' ).
tff(func_def_397,type,
sK315: ( $int * $int * $int ) > 'S6' ).
tff(func_def_398,type,
sK316: $real > $real ).
tff(func_def_399,type,
sK317: ( 'S2' * 'S10' ) > 'S9' ).
tff(func_def_400,type,
sK318: ( 'S2' * 'S10' ) > 'S10' ).
tff(func_def_401,type,
sK319: $real > $real ).
tff(func_def_402,type,
sK320: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_403,type,
sK321: ( 'S2' * 'S2' ) > $int ).
tff(func_def_404,type,
sK322: ( 'S10' * 'S10' * 'S10' * 'S10' ) > 'S17' ).
tff(func_def_405,type,
sK323: ( $int * 'S2' * 'S2' ) > 'S8' ).
tff(func_def_406,type,
sK324: ( 'S10' * 'S2' ) > 'S9' ).
tff(func_def_407,type,
sK325: ( $real * $real * $real ) > 'S14' ).
tff(func_def_408,type,
sK326: 'S10' > $real ).
tff(func_def_409,type,
sK327: 'S10' > $real ).
tff(func_def_410,type,
sK328: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_411,type,
sK329: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(func_def_412,type,
sK330: ( 'S2' * 'S2' * 'S2' ) > $int ).
tff(f3,axiom,
f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f17,axiom,
! [X0: 'S2'] : ( f16(f32,f19(f20,X0)) = f13(f14,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_17) ).
tff(f39,axiom,
! [X0: $real] : ( f16(f32,X0) = f16(f17(f18,X0),0/1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_39) ).
tff(f1513,plain,
f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0/1),
inference(cnf_transformation,[],[f3]) ).
tff(f2188,plain,
! [X0: $real] : ( f16(f32,X0) = f16(f17(f18,X0),0/1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f2220,plain,
! [X0: 'S2'] : ( f13(f14,X0) = f16(f32,f19(f20,X0)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f2699,definition,
( spl331_8
<=> ( f13(f14,f15) = f16(f17(f18,f19(f20,f15)),0/1) ) ),
introduced(definition,[new_symbols(definition,[spl331_8])],[avatar_definition]) ).
tff(f2701,plain,
( ( f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0/1) )
| spl331_8 ),
inference(avatar_component_clause,[],[f2699]) ).
tff(f2702,plain,
~ spl331_8,
inference(avatar_split_clause,[],[f1513,f2699]) ).
tff(f3230,plain,
( ( f13(f14,f15) != f16(f32,f19(f20,f15)) )
| spl331_8 ),
inference(forward_demodulation,[],[f2701,f2188]) ).
tff(f3231,plain,
( $false
| spl331_8 ),
inference(forward_subsumption_resolution,[],[f3230,f2220]) ).
tff(f3232,plain,
spl331_8,
inference(avatar_contradiction_clause,[],[f3231]) ).
tff(f3233,plain,
$false,
inference(avatar_smt_refutation,[],[f3232,f2702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW822_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:31:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/1.19 % (2298320)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.37/1.19 % (2298329)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2469645411:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.37/1.19 % (2298329)Instruction limit reached!
% 3.37/1.19 % (2298329)------------------------------
% 3.37/1.19 % (2298329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298329)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298329)Termination reason: Instruction limit
% 3.37/1.19 % (2298329)Termination phase: Property scanning
% 3.37/1.19 % (2298329)Time elapsed: 0.002 s
% 3.37/1.19 % (2298329)Peak memory usage: 86 MB
% 3.37/1.19 % (2298329)Instructions burned: 6 (million)
% 3.37/1.19 % (2298328)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4036243828:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.37/1.19 % (2298327)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2511510026:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.37/1.19 % (2298325)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3892820795:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.37/1.19 % (2298326)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1593992002:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.37/1.19 % (2298328)Instruction limit reached!
% 3.37/1.19 % (2298328)------------------------------
% 3.37/1.19 % (2298328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298328)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298328)Termination reason: Instruction limit
% 3.37/1.19 % (2298328)Termination phase: Property scanning
% 3.37/1.19 % (2298328)Time elapsed: 0.004 s
% 3.37/1.19 % (2298328)Peak memory usage: 85 MB
% 3.37/1.19 % (2298328)Instructions burned: 7 (million)
% 3.37/1.19 % (2298325)Instruction limit reached!
% 3.37/1.19 % (2298325)------------------------------
% 3.37/1.19 % (2298325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298325)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298325)Termination reason: Instruction limit
% 3.37/1.19 % (2298325)Termination phase: Property scanning
% 3.37/1.19 % (2298325)Time elapsed: 0.006 s
% 3.37/1.19 % (2298325)Peak memory usage: 85 MB
% 3.37/1.19 % (2298325)Instructions burned: 14 (million)
% 3.37/1.19 % (2298330)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=185979451:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.37/1.19 % (2298331)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1070879776:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.37/1.19 % (2298331)Instruction limit reached!
% 3.37/1.19 % (2298331)------------------------------
% 3.37/1.19 % (2298331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298331)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298331)Termination reason: Instruction limit
% 3.37/1.19 % (2298331)Termination phase: Preprocessing 3
% 3.37/1.19 % (2298331)Time elapsed: 0.018 s
% 3.37/1.19 % (2298331)Peak memory usage: 87 MB
% 3.37/1.19 % (2298331)Instructions burned: 33 (million)
% 3.37/1.19 % (2298330)Instruction limit reached!
% 3.37/1.19 % (2298330)------------------------------
% 3.37/1.19 % (2298330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298330)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298330)Termination reason: Instruction limit
% 3.37/1.19 % (2298330)Termination phase: Function definition elimination
% 3.37/1.19 % (2298330)Time elapsed: 0.024 s
% 3.37/1.19 % (2298330)Peak memory usage: 87 MB
% 3.37/1.19 % (2298330)Instructions burned: 46 (million)
% 3.37/1.19 % (2298333)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3457855526:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.37/1.19 % (2298333)Instruction limit reached!
% 3.37/1.19 % (2298333)------------------------------
% 3.37/1.19 % (2298333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298333)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298333)Termination reason: Instruction limit
% 3.37/1.19 % (2298333)Termination phase: SInE selection
% 3.37/1.19 % (2298333)Time elapsed: 0.004 s
% 3.37/1.19 % (2298333)Peak memory usage: 86 MB
% 3.37/1.19 % (2298333)Instructions burned: 14 (million)
% 3.37/1.19 % (2298326)First to succeed.
% 3.37/1.19 % (2298326)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2298320"
% 3.37/1.19 % (2298340)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=2172299254:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.37/1.19 % (2298341)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3014911180:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.37/1.19 % (2298341)Instruction limit reached!
% 3.37/1.19 % (2298341)------------------------------
% 3.37/1.19 % (2298341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298341)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298341)Termination reason: Instruction limit
% 3.37/1.19 % (2298341)Termination phase: Naming
% 3.37/1.19 % (2298341)Time elapsed: 0.010 s
% 3.37/1.19 % (2298341)Peak memory usage: 86 MB
% 3.37/1.19 % (2298341)Instructions burned: 17 (million)
% 3.37/1.19 % (2298327)Also succeeded, but the first one will report.
% 3.37/1.19 % (2298340)Instruction limit reached!
% 3.37/1.19 % (2298340)------------------------------
% 3.37/1.19 % (2298340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298340)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298340)Termination reason: Instruction limit
% 3.37/1.19 % (2298340)Termination phase: Preprocessing 3
% 3.37/1.19 % (2298340)Time elapsed: 0.016 s
% 3.37/1.19 % (2298340)Peak memory usage: 87 MB
% 3.37/1.19 % (2298340)Instructions burned: 30 (million)
% 3.37/1.19 % (2298342)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1033456343:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.37/1.19 % (2298345)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3412847732:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.37/1.19 % (2298343)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=4157403593:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.37/1.19 % (2298342)Instruction limit reached!
% 3.37/1.19 % (2298342)------------------------------
% 3.37/1.19 % (2298342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298342)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298342)Termination reason: Instruction limit
% 3.37/1.19 % (2298342)Termination phase: shuffling
% 3.37/1.19 % (2298342)Time elapsed: 0.013 s
% 3.37/1.19 % (2298342)Peak memory usage: 86 MB
% 3.37/1.19 % (2298342)Instructions burned: 25 (million)
% 3.37/1.19 % (2298345)Instruction limit reached!
% 3.37/1.19 % (2298345)------------------------------
% 3.37/1.19 % (2298345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298345)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298345)Termination reason: Instruction limit
% 3.37/1.19 % (2298345)Termination phase: Saturation
% 3.37/1.19 % (2298345)Time elapsed: 0.024 s
% 3.37/1.19 % (2298345)Peak memory usage: 89 MB
% 3.37/1.19 % (2298345)Instructions burned: 98 (million)
% 3.37/1.19 % (2298343)Instruction limit reached!
% 3.37/1.19 % (2298343)------------------------------
% 3.37/1.19 % (2298343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298343)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298343)Termination reason: Instruction limit
% 3.37/1.19 % (2298343)Termination phase: Preprocessing 3
% 3.37/1.19 % (2298343)Time elapsed: 0.016 s
% 3.37/1.19 % (2298343)Peak memory usage: 87 MB
% 3.37/1.19 % (2298343)Instructions burned: 31 (million)
% 3.37/1.19 % (2298355)lrs+10_1_thi=all:si=on:fd=off:random_seed=474900536:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.37/1.19 % (2298348)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2935177149:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.37/1.19 % (2298348)Instruction limit reached!
% 3.37/1.19 % (2298348)------------------------------
% 3.37/1.19 % (2298348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298348)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298348)Termination reason: Instruction limit
% 3.37/1.19 % (2298348)Termination phase: shuffling
% 3.37/1.19 % (2298348)Time elapsed: 0.002 s
% 3.37/1.19 % (2298348)Peak memory usage: 85 MB
% 3.37/1.19 % (2298348)Instructions burned: 2 (million)
% 3.37/1.19 % (2298355)Instruction limit reached!
% 3.37/1.19 % (2298355)------------------------------
% 3.37/1.19 % (2298355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298355)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298355)Termination reason: Instruction limit
% 3.37/1.19 % (2298355)Termination phase: Preprocessing 3
% 3.37/1.19 % (2298355)Time elapsed: 0.014 s
% 3.37/1.19 % (2298355)Peak memory usage: 87 MB
% 3.37/1.19 % (2298355)Instructions burned: 54 (million)
% 3.37/1.19 % (2298351)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3076826186:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.37/1.19 % (2298351)Refutation not found, incomplete strategy
% 3.37/1.19 % (2298351)------------------------------
% 3.37/1.19 % (2298351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298351)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298351)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.19 % (2298351)Time elapsed: 0.008 s
% 3.37/1.19 % (2298351)Peak memory usage: 88 MB
% 3.37/1.19 % (2298351)Instructions burned: 13 (million)
% 3.37/1.19 % (2298354)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1367697748:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.37/1.19 % (2298353)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2671413189:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.37/1.19 % (2298353)Instruction limit reached!
% 3.37/1.19 % (2298353)------------------------------
% 3.37/1.19 % (2298353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298353)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298353)Termination reason: Instruction limit
% 3.37/1.19 % (2298353)Termination phase: Property scanning
% 3.37/1.19 % (2298353)Time elapsed: 0.003 s
% 3.37/1.19 % (2298353)Peak memory usage: 85 MB
% 3.37/1.19 % (2298353)Instructions burned: 5 (million)
% 3.37/1.19 % (2298354)Instruction limit reached!
% 3.37/1.19 % (2298354)------------------------------
% 3.37/1.19 % (2298354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.19 % (2298354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.19 % (2298354)CaDiCaL version: 2.1.3
% 3.37/1.19 % (2298354)Termination reason: Instruction limit
% 3.37/1.19 % (2298354)Termination phase: Property scanning
% 3.37/1.19 % (2298354)Time elapsed: 0.033 s
% 3.37/1.19 % (2298354)Peak memory usage: 88 MB
% 3.37/1.19 % (2298354)Instructions burned: 67 (million)
% 3.37/1.19 % (2298326)Refutation found. Thanks to Tanya!
% 3.37/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.39 % (2298326)------------------------------
% 4.20/1.39 % (2298326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.39 % (2298326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.39 % (2298326)CaDiCaL version: 2.1.3
% 4.20/1.39 % (2298326)Termination reason: Refutation
% 4.20/1.39 % (2298326)Time elapsed: 0.098 s
% 4.20/1.39 % (2298326)Peak memory usage: 118 MB
% 4.20/1.39 % (2298326)Instructions burned: 125 (million)
% 4.20/1.39 % (2298326)------------------------------
% 4.20/1.39 % (2298326)------------------------------
% 4.20/1.39 % (2298320)Success in time 0.535 s
% 4.20/1.39 % Vampire exiting
%------------------------------------------------------------------------------