%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW824_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:45:01 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 44 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 13 ~; 12 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 46 ( 8 atm; 8 fun; 28 num; 2 var)
% Number of types : 23 ( 21 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 306 ( 301 usr; 37 con; 0-4 aty)
% Number of variables : 2 ( 0 sgn 0 !; 2 ?; 2 :)
% 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,
'S5': $tType ).
tff(type_def_14,type,
'S1': $tType ).
tff(type_def_15,type,
'S3': $tType ).
tff(type_def_16,type,
'S19': $tType ).
tff(type_def_17,type,
'S13': $tType ).
tff(type_def_18,type,
'S14': $tType ).
tff(type_def_19,type,
'S16': $tType ).
tff(type_def_20,type,
'S7': $tType ).
tff(type_def_21,type,
'S17': $tType ).
tff(type_def_22,type,
'S18': $tType ).
tff(type_def_23,type,
'S15': $tType ).
tff(type_def_24,type,
'S11': $tType ).
tff(type_def_25,type,
'S21': $tType ).
tff(func_def_0,type,
f28: ( 'S14' * $int ) > 'S13' ).
tff(func_def_1,type,
f31: 'S2' ).
tff(func_def_2,type,
f12: 'S6' ).
tff(func_def_3,type,
f17: ( 'S10' * $real ) > 'S9' ).
tff(func_def_4,type,
f20: 'S3' ).
tff(func_def_5,type,
f33: 'S15' ).
tff(func_def_6,type,
f4: 'S2' ).
tff(func_def_7,type,
f25: 'S12' ).
tff(func_def_8,type,
f29: 'S14' ).
tff(func_def_9,type,
f23: ( 'S12' * 'S9' ) > 'S11' ).
tff(func_def_10,type,
f24: 'S12' ).
tff(func_def_11,type,
f35: 'S16' ).
tff(func_def_12,type,
f6: 'S3' ).
tff(func_def_13,type,
f30: 'S13' ).
tff(func_def_14,type,
f39: 'S18' ).
tff(func_def_15,type,
f15: ( 'S8' * 'S5' ) > 'S9' ).
tff(func_def_16,type,
f3: ( 'S2' * $real ) > $real ).
tff(func_def_17,type,
f42: ( 'S20' * $real ) > 'S10' ).
tff(func_def_18,type,
f34: ( 'S16' * $int ) > 'S6' ).
tff(func_def_19,type,
f14: 'S7' ).
tff(func_def_20,type,
f41: 'S19' ).
tff(func_def_21,type,
f11: ( 'S6' * 'S5' ) > $int ).
tff(func_def_22,type,
f18: 'S10' ).
tff(func_def_23,type,
f1: 'S1' ).
tff(func_def_24,type,
f32: ( 'S15' * $real ) > 'S4' ).
tff(func_def_25,type,
f19: 'S2' ).
tff(func_def_26,type,
f16: 'S8' ).
tff(func_def_27,type,
f27: ( 'S13' * $int ) > $int ).
tff(func_def_28,type,
f9: 'S4' ).
tff(func_def_29,type,
f13: ( 'S7' * $int ) > 'S5' ).
tff(func_def_30,type,
f38: 'S18' ).
tff(func_def_31,type,
f36: ( 'S17' * 'S5' ) > 'S5' ).
tff(func_def_32,type,
f7: $real ).
tff(func_def_33,type,
f10: 'S5' ).
tff(func_def_34,type,
f43: 'S20' ).
tff(func_def_35,type,
f40: ( 'S19' * 'S9' ) > 'S8' ).
tff(func_def_36,type,
f21: 'S2' ).
tff(func_def_37,type,
f8: ( 'S4' * 'S5' ) > $real ).
tff(func_def_38,type,
f2: 'S1' ).
tff(func_def_39,type,
f46: 'S21' ).
tff(func_def_40,type,
f37: ( 'S18' * 'S5' ) > 'S17' ).
tff(func_def_41,type,
f5: ( 'S3' * $real ) > 'S2' ).
tff(func_def_42,type,
f22: ( 'S11' * 'S9' ) > 'S9' ).
tff(func_def_43,type,
f44: ( 'S21' * 'S9' ) > $real ).
tff(func_def_44,type,
f45: 'S21' ).
tff(func_def_45,type,
f26: 'S5' > 'S1' ).
tff(func_def_65,type,
sK0: $real ).
tff(func_def_66,type,
sK1: $real > $real ).
tff(func_def_67,type,
sK2: $real > $real ).
tff(func_def_68,type,
sK3: $real > $real ).
tff(func_def_69,type,
sK4: ( $real * $real ) > $real ).
tff(func_def_70,type,
sK5: ( 'S5' * 'S5' ) > $int ).
tff(func_def_71,type,
sK6: ( 'S5' * 'S5' ) > $int ).
tff(func_def_72,type,
sK7: 'S5' > $real ).
tff(func_def_73,type,
sK8: $real > $real ).
tff(func_def_74,type,
sK9: $real > $real ).
tff(func_def_75,type,
sK10: $real ).
tff(func_def_76,type,
sK11: $real ).
tff(func_def_77,type,
sK12: $real ).
tff(func_def_78,type,
sK13: $real > $real ).
tff(func_def_79,type,
sK14: $real ).
tff(func_def_80,type,
sK15: $real ).
tff(func_def_81,type,
sK16: ( $real * $real ) > $real ).
tff(func_def_82,type,
sK17: ( $real * $real ) > $real ).
tff(func_def_83,type,
sK18: $real > $real ).
tff(func_def_84,type,
sK19: ( $real * $real * $real ) > $real ).
tff(func_def_85,type,
sK20: ( $real * $real * $real ) > 'S2' ).
tff(func_def_86,type,
sK21: $real > $real ).
tff(func_def_87,type,
sK22: $real > $real ).
tff(func_def_88,type,
sK23: ( $real * $real * $real ) > 'S2' ).
tff(func_def_89,type,
sK24: ( $real * $real ) > $real ).
tff(func_def_90,type,
sK25: ( $real * $real * $real ) > 'S2' ).
tff(func_def_91,type,
sK26: ( $real * $real * $real ) > 'S2' ).
tff(func_def_92,type,
sK27: ( $real * $real ) > $real ).
tff(func_def_93,type,
sK28: ( $real * $real * $real ) > 'S2' ).
tff(func_def_94,type,
sK29: ( 'S2' * $real * $real ) > $real ).
tff(func_def_95,type,
sK30: ( 'S2' * $real * $real ) > $real ).
tff(func_def_96,type,
sK31: ( 'S2' * $real * $real ) > 'S2' ).
tff(func_def_97,type,
sK32: $real > $real ).
tff(func_def_98,type,
sK33: $real > $real ).
tff(func_def_99,type,
sK34: ( $real * $real ) > 'S5' ).
tff(func_def_100,type,
sK35: ( $real * $real ) > $real ).
tff(func_def_101,type,
sK36: ( $real * $real ) > 'S5' ).
tff(func_def_102,type,
sK37: ( $real * $real ) > 'S2' ).
tff(func_def_103,type,
sK38: ( $real * $real * $real ) > 'S2' ).
tff(func_def_104,type,
sK39: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_105,type,
sK40: $real > 'S5' ).
tff(func_def_106,type,
sK41: $real > 'S5' ).
tff(func_def_107,type,
sK42: $real > $real ).
tff(func_def_108,type,
sK43: $int > $int ).
tff(func_def_109,type,
sK44: $real > $real ).
tff(func_def_110,type,
sK45: $real > $real ).
tff(func_def_111,type,
sK46: $real > 'S5' ).
tff(func_def_112,type,
sK47: 'S5' > 'S5' ).
tff(func_def_113,type,
sK48: 'S5' > 'S5' ).
tff(func_def_114,type,
sK49: 'S5' > $int ).
tff(func_def_115,type,
sK50: ( 'S5' * 'S5' ) > $int ).
tff(func_def_116,type,
sK51: ( 'S5' * 'S5' ) > $int ).
tff(func_def_117,type,
sK52: 'S5' > 'S5' ).
tff(func_def_118,type,
sK53: 'S5' > 'S5' ).
tff(func_def_119,type,
sK54: $real > 'S5' ).
tff(func_def_120,type,
sK55: $real > 'S5' ).
tff(func_def_121,type,
sK56: $real > 'S5' ).
tff(func_def_122,type,
sK57: $real > 'S5' ).
tff(func_def_123,type,
sK58: $real > 'S5' ).
tff(func_def_124,type,
sK59: ( $real * $real ) > 'S2' ).
tff(func_def_125,type,
sK60: ( $real * $real ) > 'S5' ).
tff(func_def_126,type,
sK61: ( $real * $real ) > 'S5' ).
tff(func_def_127,type,
sK62: ( $real * $real ) > 'S5' ).
tff(func_def_128,type,
sK63: ( $real * $real ) > 'S2' ).
tff(func_def_129,type,
sK64: ( $real * $real ) > $real ).
tff(func_def_130,type,
sK65: ( $real * $real ) > 'S2' ).
tff(func_def_131,type,
sK66: ( $real * $real ) > $real ).
tff(func_def_132,type,
sK67: ( $real * $real ) > $real ).
tff(func_def_133,type,
sK68: ( 'S5' * 'S5' * $int ) > $int ).
tff(func_def_134,type,
sK69: ( 'S5' * 'S5' * $int ) > $int ).
tff(func_def_135,type,
sK70: ( 'S5' * 'S5' * $int ) > 'S6' ).
tff(func_def_136,type,
sK71: ( 'S5' * 'S5' * $real ) > $int ).
tff(func_def_137,type,
sK72: ( 'S5' * 'S5' * $real ) > $int ).
tff(func_def_138,type,
sK73: ( 'S5' * 'S5' * $real ) > 'S4' ).
tff(func_def_139,type,
sK74: ( 'S5' * 'S5' * 'S5' ) > $int ).
tff(func_def_140,type,
sK75: ( 'S5' * 'S5' * 'S5' ) > $int ).
tff(func_def_141,type,
sK76: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_142,type,
sK77: ( 'S5' * 'S5' * 'S9' ) > $int ).
tff(func_def_143,type,
sK78: ( 'S5' * 'S5' * 'S9' ) > $int ).
tff(func_def_144,type,
sK79: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).
tff(func_def_145,type,
sK80: ( 'S5' * $int ) > $int ).
tff(func_def_146,type,
sK81: ( 'S5' * $int ) > 'S6' ).
tff(func_def_147,type,
sK82: ( 'S5' * $real ) > $int ).
tff(func_def_148,type,
sK83: ( 'S5' * $real ) > 'S4' ).
tff(func_def_149,type,
sK84: ( 'S5' * 'S5' ) > $int ).
tff(func_def_150,type,
sK85: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_151,type,
sK86: ( 'S5' * 'S9' ) > $int ).
tff(func_def_152,type,
sK87: ( 'S5' * 'S9' ) > 'S8' ).
tff(func_def_153,type,
sK88: $real > $real ).
tff(func_def_154,type,
sK89: $real > $real ).
tff(func_def_155,type,
sK90: $real > $real ).
tff(func_def_156,type,
sK91: $real > $real ).
tff(func_def_157,type,
sK92: $real > 'S5' ).
tff(func_def_158,type,
sK93: $real > $real ).
tff(func_def_159,type,
sK94: $real > 'S5' ).
tff(func_def_160,type,
sK95: $real > 'S5' ).
tff(func_def_161,type,
sK96: $real > 'S5' ).
tff(func_def_162,type,
sK97: $real > 'S5' ).
tff(func_def_163,type,
sK98: $real > 'S5' ).
tff(func_def_164,type,
sK99: $real > $real ).
tff(func_def_165,type,
sK100: $real > $real ).
tff(func_def_166,type,
sK101: ( $real * $real ) > $real ).
tff(func_def_167,type,
sK102: ( $real * $real ) > 'S5' ).
tff(func_def_168,type,
sK103: ( $real * $real ) > 'S5' ).
tff(func_def_169,type,
sK104: $real > $real ).
tff(func_def_170,type,
sK105: $real ).
tff(func_def_171,type,
sK106: $real > 'S5' ).
tff(func_def_172,type,
sK107: $real > $real ).
tff(func_def_173,type,
sK108: $real > $real ).
tff(func_def_174,type,
sK109: $real > $real ).
tff(func_def_175,type,
sK110: $real > $real ).
tff(func_def_176,type,
sK111: ( $real * $real ) > $real ).
tff(func_def_177,type,
sK112: $real > $real ).
tff(func_def_178,type,
sK113: $real > $real ).
tff(func_def_179,type,
sK114: $real > $real ).
tff(func_def_180,type,
sK115: $real > $real ).
tff(func_def_181,type,
sK116: $real > $real ).
tff(func_def_182,type,
sK117: $real > $real ).
tff(func_def_183,type,
sK118: $real > $real ).
tff(func_def_184,type,
sK119: $real > 'S5' ).
tff(func_def_185,type,
sK120: ( $real * 'S5' ) > $real ).
tff(func_def_186,type,
sK121: ( $real * 'S5' ) > $real ).
tff(func_def_187,type,
sK122: $real > $real ).
tff(func_def_188,type,
sK123: $real > $real ).
tff(func_def_189,type,
sK124: 'S5' > $int ).
tff(func_def_190,type,
sK125: 'S5' > $int ).
tff(func_def_191,type,
sK126: 'S5' > $int ).
tff(func_def_192,type,
sK127: ( $real * 'S5' ) > $real ).
tff(func_def_193,type,
sK128: ( $int * 'S5' ) > 'S6' ).
tff(func_def_194,type,
sK129: ( $real * 'S5' ) > 'S4' ).
tff(func_def_195,type,
sK130: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_196,type,
sK131: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_197,type,
sK132: $int > $int ).
tff(func_def_198,type,
sK133: $real > $real ).
tff(func_def_199,type,
sK134: $int > 'S5' ).
tff(func_def_200,type,
sK135: $real > 'S5' ).
tff(func_def_201,type,
sK136: 'S5' > $int ).
tff(func_def_202,type,
sK137: 'S5' > $int ).
tff(func_def_203,type,
sK138: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_204,type,
sK139: ( 'S5' * 'S5' ) > $int ).
tff(func_def_205,type,
sK140: ( 'S5' * 'S5' ) > $int ).
tff(func_def_206,type,
sK141: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_207,type,
sK142: ( $int * 'S5' ) > 'S6' ).
tff(func_def_208,type,
sK143: ( $real * 'S5' ) > 'S4' ).
tff(func_def_209,type,
sK144: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_210,type,
sK145: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_211,type,
sK146: ( $int * 'S5' ) > 'S6' ).
tff(func_def_212,type,
sK147: ( $int * 'S5' ) > $int ).
tff(func_def_213,type,
sK148: ( $real * 'S5' ) > 'S4' ).
tff(func_def_214,type,
sK149: ( $real * 'S5' ) > $real ).
tff(func_def_215,type,
sK150: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_216,type,
sK151: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_217,type,
sK152: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_218,type,
sK153: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_219,type,
sK154: ( $int * 'S5' ) > 'S6' ).
tff(func_def_220,type,
sK155: ( $int * 'S5' ) > $int ).
tff(func_def_221,type,
sK156: ( $real * 'S5' ) > 'S4' ).
tff(func_def_222,type,
sK157: ( $real * 'S5' ) > $real ).
tff(func_def_223,type,
sK158: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_224,type,
sK159: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_225,type,
sK160: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_226,type,
sK161: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_227,type,
sK162: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_228,type,
sK163: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_229,type,
sK164: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_230,type,
sK165: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_231,type,
sK166: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_232,type,
sK167: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_233,type,
sK168: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_234,type,
sK169: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_235,type,
sK170: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_236,type,
sK171: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_237,type,
sK172: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_238,type,
sK173: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_239,type,
sK174: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_240,type,
sK175: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S5' ).
tff(func_def_241,type,
sK176: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_242,type,
sK177: ( $real * $real * $real * $real ) > $real ).
tff(func_def_243,type,
sK178: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_244,type,
sK179: ( $int * $int * $int * $int ) > $int ).
tff(func_def_245,type,
sK180: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_246,type,
sK181: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S9' ).
tff(func_def_247,type,
sK182: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_248,type,
sK183: ( $real * $real * $real ) > 'S2' ).
tff(func_def_249,type,
sK184: ( $int * $int * $int ) > 'S13' ).
tff(func_def_250,type,
sK185: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_251,type,
sK186: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_252,type,
sK187: ( $real * $real * $real ) > 'S2' ).
tff(func_def_253,type,
sK188: ( $int * $int * $int ) > 'S13' ).
tff(func_def_254,type,
sK189: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_255,type,
sK190: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_256,type,
sK191: ( $real * $real * $real ) > 'S2' ).
tff(func_def_257,type,
sK192: ( $int * $int * $int ) > 'S13' ).
tff(func_def_258,type,
sK193: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_259,type,
sK194: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_260,type,
sK195: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_261,type,
sK196: ( $real * $real * $real ) > 'S2' ).
tff(func_def_262,type,
sK197: ( $real * $real * $real ) > 'S2' ).
tff(func_def_263,type,
sK198: ( $int * $int * $int ) > 'S13' ).
tff(func_def_264,type,
sK199: ( $int * $int * $int ) > 'S13' ).
tff(func_def_265,type,
sK200: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_266,type,
sK201: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_267,type,
sK202: ( $int * 'S5' ) > 'S6' ).
tff(func_def_268,type,
sK203: ( $real * 'S5' ) > 'S4' ).
tff(func_def_269,type,
sK204: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_270,type,
sK205: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_271,type,
sK206: ( $int * 'S5' ) > 'S6' ).
tff(func_def_272,type,
sK207: ( $real * 'S5' ) > 'S4' ).
tff(func_def_273,type,
sK208: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_274,type,
sK209: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_275,type,
sK210: ( $int * 'S5' ) > 'S6' ).
tff(func_def_276,type,
sK211: ( $real * 'S5' ) > 'S4' ).
tff(func_def_277,type,
sK212: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_278,type,
sK213: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_279,type,
sK214: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_280,type,
sK215: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_281,type,
sK216: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_282,type,
sK217: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_283,type,
sK218: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_284,type,
sK219: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_285,type,
sK220: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_286,type,
sK221: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_287,type,
sK222: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_288,type,
sK223: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_289,type,
sK224: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_290,type,
sK225: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_291,type,
sK226: 'S5' > 'S5' ).
tff(func_def_292,type,
sK227: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_293,type,
sK228: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_294,type,
sK229: ( 'S5' * 'S5' ) > $int ).
tff(func_def_295,type,
sK230: ( $int * 'S5' ) > $int ).
tff(func_def_296,type,
sK231: ( $real * 'S5' ) > $real ).
tff(func_def_297,type,
sK232: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_298,type,
sK233: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_299,type,
sK234: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_300,type,
sK235: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_301,type,
sK236: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_302,type,
sK237: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_303,type,
sK238: ( $int * 'S5' ) > 'S6' ).
tff(func_def_304,type,
sK239: ( $real * 'S5' ) > 'S4' ).
tff(func_def_305,type,
sK240: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_306,type,
sK241: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_307,type,
sK242: ( $int * 'S5' ) > 'S6' ).
tff(func_def_308,type,
sK243: ( $real * 'S5' ) > 'S4' ).
tff(func_def_309,type,
sK244: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_310,type,
sK245: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_311,type,
sK246: ( $real * $real ) > $real ).
tff(func_def_312,type,
sK247: ( $real * $real ) > $real ).
tff(func_def_313,type,
sK248: ( $real * $real ) > 'S2' ).
tff(func_def_314,type,
sK249: ( $real * $real ) > $real ).
tff(func_def_315,type,
sK250: ( $real * $real ) > $real ).
tff(func_def_316,type,
sK251: ( $real * $real ) > 'S2' ).
tff(func_def_317,type,
sK252: ( $real * $real ) > $real ).
tff(func_def_318,type,
sK253: ( $real * $real ) > $real ).
tff(func_def_319,type,
sK254: ( $real * $real ) > 'S2' ).
tff(f3,axiom,
f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 0/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f4,axiom,
? [X0: $real] :
( ( X0 = f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) )
& ( $less(X0,0/1)
=> ( $uminus(X0) = 1/1 ) )
& ( ~ $less(X0,0/1)
=> ( X0 = 1/1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).
tff(f479,plain,
? [X0: $real] :
( ( X0 = f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) )
& ( ( $uminus(X0) = 1/1 )
| ~ $less(X0,0/1) )
& ( ( X0 = 1/1 )
| $less(X0,0/1) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f589,plain,
f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 0/1,
inference(cnf_transformation,[],[f3]) ).
tff(f591,plain,
( $less(sK0,0/1)
| ( 1/1 = sK0 ) ),
inference(cnf_transformation,[],[f479]) ).
tff(f592,plain,
f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = sK0,
inference(cnf_transformation,[],[f479]) ).
tff(f1585,definition,
( spl255_2
<=> $less(sK0,0/1) ),
introduced(definition,[new_symbols(definition,[spl255_2])],[avatar_definition]) ).
tff(f1586,plain,
( $less(sK0,0/1)
| ~ spl255_2 ),
inference(avatar_component_clause,[],[f1585]) ).
tff(f1590,definition,
( spl255_3
<=> ( 1/1 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl255_3])],[avatar_definition]) ).
tff(f1592,plain,
( ( 1/1 = sK0 )
| ~ spl255_3 ),
inference(avatar_component_clause,[],[f1590]) ).
tff(f1593,plain,
( spl255_3
| spl255_2 ),
inference(avatar_split_clause,[],[f591,f1585,f1590]) ).
tff(f2701,plain,
( ( f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 1/1 )
| ~ spl255_3 ),
inference(forward_demodulation,[],[f592,f1592]) ).
tff(f2702,plain,
( ( 0/1 = 1/1 )
| ~ spl255_3 ),
inference(forward_demodulation,[],[f2701,f589]) ).
tff(f2703,plain,
( $false
| ~ spl255_3 ),
inference(evaluation,[],[f2702]) ).
tff(f2704,plain,
~ spl255_3,
inference(avatar_contradiction_clause,[],[f2703]) ).
tff(f2705,plain,
0/1 = sK0,
inference(forward_demodulation,[],[f592,f589]) ).
tff(f2709,plain,
( $less(0/1,0/1)
| ~ spl255_2 ),
inference(superposition,[],[f1586,f2705]) ).
tff(f2710,plain,
( $false
| ~ spl255_2 ),
inference(evaluation,[],[f2709]) ).
tff(f2711,plain,
~ spl255_2,
inference(avatar_contradiction_clause,[],[f2710]) ).
cnf(s2,plain,
( spl255_2
| spl255_3 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s20,plain,
~ spl255_3,
inference(sat_conversion,[],[f2704]) ).
cnf(s21,plain,
~ spl255_2,
inference(sat_conversion,[],[f2711]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s20,s21]) ).
tff(f2712,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW824_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 14:30:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.14 Running first-order model finding
% 0.10/0.14 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.26 % (3420093)Will run a generic schedule for satisfiability detection.
% 0.10/0.26 % (3420103)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2200795176_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.26 % (3420104)% WARNING: option uhcvi not known.
% 0.10/0.26 % (3420106)dis+10_1_sil=32000:sp=arity:random_seed=1411461160:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.26 % (3420105)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1181715623:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.26 % (3420107)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1242427094:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.26 % (3420104)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3251786520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.26 % (3420108)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2806238286:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.26 % (3420109)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3962916075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.26 % (3420103)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.26 % (3420103)Terminated due to inappropriate strategy.
% 0.10/0.26 % (3420103)------------------------------
% 0.10/0.26 % (3420103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420103)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420103)Termination reason: Inappropriate
% 0.10/0.26 % (3420103)Time elapsed: 0.014 s
% 0.10/0.26 % (3420103)Peak memory usage: 12 MB
% 0.10/0.26 % (3420103)Instructions burned: 53 (million)
% 0.10/0.26 % (3420103)------------------------------
% 0.10/0.26 % (3420103)------------------------------
% 0.10/0.26 % (3420120)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2688869117:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.10/0.26 % (3420120)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.26 % (3420120)Terminated due to inappropriate strategy.
% 0.10/0.26 % (3420120)------------------------------
% 0.10/0.26 % (3420120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420120)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420120)Termination reason: Inappropriate
% 0.10/0.26 % (3420120)Time elapsed: 0.019 s
% 0.10/0.26 % (3420120)Peak memory usage: 12 MB
% 0.10/0.26 % (3420120)Instructions burned: 53 (million)
% 0.10/0.26 % (3420120)------------------------------
% 0.10/0.26 % (3420120)------------------------------
% 0.10/0.26 % (3420106)Instruction limit reached!
% 0.10/0.26 % (3420106)------------------------------
% 0.10/0.26 % (3420106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420106)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420106)Termination reason: Instruction limit
% 0.10/0.26 % (3420106)Termination phase: Saturation
% 0.10/0.26 % (3420106)Time elapsed: 0.053 s
% 0.10/0.26 % (3420106)Peak memory usage: 13 MB
% 0.10/0.26 % (3420106)Instructions burned: 105 (million)
% 0.10/0.26 % (3420107)Instruction limit reached!
% 0.10/0.26 % (3420107)------------------------------
% 0.10/0.26 % (3420107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420107)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420107)Termination reason: Instruction limit
% 0.10/0.26 % (3420107)Termination phase: Saturation
% 0.10/0.26 % (3420107)Time elapsed: 0.059 s
% 0.10/0.26 % (3420107)Peak memory usage: 14 MB
% 0.10/0.26 % (3420107)Instructions burned: 117 (million)
% 0.10/0.26 % (3420125)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2641231873:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.26 % (3420128)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=32951590:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.10/0.26 % (3420108)Instruction limit reached!
% 0.10/0.26 % (3420108)------------------------------
% 0.10/0.26 % (3420108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420108)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420108)Termination reason: Instruction limit
% 0.10/0.26 % (3420108)Termination phase: Saturation
% 0.10/0.26 % (3420108)Time elapsed: 0.070 s
% 0.10/0.26 % (3420108)Peak memory usage: 14 MB
% 0.10/0.26 % (3420108)Instructions burned: 132 (million)
% 0.10/0.26 % (3420104) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3420093-3420104"...
% 0.10/0.26 % (3420130)ott-21_1_sil=16000:fs=off:random_seed=3074159402:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.10/0.26 % (3420104)...printing done.
% 0.10/0.26 % (3420104)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (3420104)------------------------------
% 0.10/0.26 % (3420104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3420104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3420104)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3420104)Termination reason: Refutation
% 0.10/0.26 % (3420104)Time elapsed: 0.081 s
% 0.10/0.26 % (3420104)Peak memory usage: 14 MB
% 0.10/0.26 % (3420104)Instructions burned: 119 (million)
% 0.10/0.26 % (3420093)Success in time 0.115 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------