TSTP Solution File: SWW824_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW824_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 17:48:56 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 409
% Syntax : Number of formulae : 517 ( 122 unt; 328 typ; 0 def)
% Number of atoms : 329 ( 120 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 235 ( 95 ~; 38 |; 53 &)
% ( 40 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 434 ( 111 atm; 57 fun; 188 num; 78 var)
% Number of types : 24 ( 21 usr; 2 ari)
% Number of type conns : 577 ( 273 >; 304 *; 0 +; 0 <<)
% Number of predicates : 50 ( 46 usr; 41 prp; 0-4 aty)
% Number of functors : 311 ( 301 usr; 41 con; 0-4 aty)
% Number of variables : 85 ( 64 !; 21 ?; 85 :)
% 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,
sK6: ( $real * $real ) > 'S5' ).
tff(func_def_66,type,
sK7: $real > 'S5' ).
tff(func_def_67,type,
sK8: $real > 'S5' ).
tff(func_def_68,type,
sK9: $real > $real ).
tff(func_def_69,type,
sK10: $real > $real ).
tff(func_def_70,type,
sK11: $real > $real ).
tff(func_def_71,type,
sK12: 'S5' > 'S5' ).
tff(func_def_72,type,
sK13: 'S5' > 'S5' ).
tff(func_def_73,type,
sK14: 'S5' > 'S5' ).
tff(func_def_74,type,
sK15: 'S5' > 'S5' ).
tff(func_def_75,type,
sK16: $real > 'S5' ).
tff(func_def_76,type,
sK17: $real > 'S5' ).
tff(func_def_77,type,
sK18: $real > 'S5' ).
tff(func_def_78,type,
sK19: $real > 'S5' ).
tff(func_def_79,type,
sK20: $real > 'S5' ).
tff(func_def_80,type,
sK21: $real > $real ).
tff(func_def_81,type,
sK22: $real > $real ).
tff(func_def_82,type,
sK23: $real > $real ).
tff(func_def_83,type,
sK24: $real > $real ).
tff(func_def_84,type,
sK25: $real > $real ).
tff(func_def_85,type,
sK26: $real > $real ).
tff(func_def_86,type,
sK27: $real > $real ).
tff(func_def_87,type,
sK28: $real > $real ).
tff(func_def_88,type,
sK29: $real > $real ).
tff(func_def_89,type,
sK30: $real > $real ).
tff(func_def_90,type,
sK31: $real > 'S5' ).
tff(func_def_91,type,
sK32: $real > $real ).
tff(func_def_92,type,
sK33: $real > 'S5' ).
tff(func_def_93,type,
sK34: $real > $real ).
tff(func_def_94,type,
sK35: $real > $real ).
tff(func_def_95,type,
sK36: $real > 'S5' ).
tff(func_def_96,type,
sK37: $int > 'S5' ).
tff(func_def_97,type,
sK38: $real > 'S5' ).
tff(func_def_98,type,
sK39: $real > 'S5' ).
tff(func_def_99,type,
sK40: $real > 'S5' ).
tff(func_def_100,type,
sK41: $real > 'S5' ).
tff(func_def_101,type,
sK42: $real > 'S5' ).
tff(func_def_102,type,
sK43: $real > 'S5' ).
tff(func_def_103,type,
sK44: $int > $int ).
tff(func_def_104,type,
sK45: 'S5' > $real ).
tff(func_def_105,type,
sK46: 'S5' > $int ).
tff(func_def_106,type,
sK47: 'S5' > $int ).
tff(func_def_107,type,
sK48: 'S5' > $int ).
tff(func_def_108,type,
sK49: $real > $real ).
tff(func_def_109,type,
sK50: $real > $real ).
tff(func_def_110,type,
sK51: $real > $real ).
tff(func_def_111,type,
sK52: $real > $real ).
tff(func_def_112,type,
sK53: 'S5' > 'S5' ).
tff(func_def_113,type,
sK54: $real > $real ).
tff(func_def_114,type,
sK55: $real > $real ).
tff(func_def_115,type,
sK56: $real > $real ).
tff(func_def_116,type,
sK57: 'S5' > $int ).
tff(func_def_117,type,
sK58: 'S5' > $int ).
tff(func_def_118,type,
sK59: 'S5' > $int ).
tff(func_def_119,type,
sK60: $real > $real ).
tff(func_def_120,type,
sK61: $real > $real ).
tff(func_def_121,type,
sK62: $int > $int ).
tff(func_def_122,type,
sK63: $real > $real ).
tff(func_def_123,type,
sK64: $real > $real ).
tff(func_def_124,type,
sK65: $real > 'S5' ).
tff(func_def_125,type,
sK66: $real > $real ).
tff(func_def_126,type,
sK67: $real > $real ).
tff(func_def_127,type,
sK68: $real > $real ).
tff(func_def_128,type,
sK69: $real > $real ).
tff(func_def_129,type,
sK70: $real > $real ).
tff(func_def_130,type,
sK71: $real > $real ).
tff(func_def_131,type,
sK72: $real > $real ).
tff(func_def_132,type,
sK73: $real > $real ).
tff(func_def_133,type,
sK74: $real > $real ).
tff(func_def_134,type,
sK75: ( $real * $real ) > $real ).
tff(func_def_135,type,
sK76: ( $real * $real ) > $real ).
tff(func_def_136,type,
sK77: ( $real * $real ) > 'S2' ).
tff(func_def_137,type,
sK78: ( $real * $real ) > $real ).
tff(func_def_138,type,
sK79: ( $real * $real ) > $real ).
tff(func_def_139,type,
sK80: ( $real * $real ) > 'S2' ).
tff(func_def_140,type,
sK81: ( $real * 'S5' ) > $real ).
tff(func_def_141,type,
sK82: ( $real * $real ) > $real ).
tff(func_def_142,type,
sK83: ( $real * $real ) > $real ).
tff(func_def_143,type,
sK84: ( $real * 'S5' ) > $real ).
tff(func_def_144,type,
sK85: ( $real * 'S5' ) > $real ).
tff(func_def_145,type,
sK86: ( $real * $real ) > $real ).
tff(func_def_146,type,
sK87: ( $real * $real ) > $real ).
tff(func_def_147,type,
sK88: ( $real * $real ) > 'S5' ).
tff(func_def_148,type,
sK89: ( $real * $real ) > $real ).
tff(func_def_149,type,
sK90: ( $real * $real ) > $real ).
tff(func_def_150,type,
sK91: ( 'S5' * 'S5' ) > $int ).
tff(func_def_151,type,
sK92: ( $real * $real ) > 'S5' ).
tff(func_def_152,type,
sK93: ( $real * $real ) > 'S5' ).
tff(func_def_153,type,
sK94: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_154,type,
sK95: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_155,type,
sK96: ( $int * 'S5' ) > 'S6' ).
tff(func_def_156,type,
sK97: ( $int * 'S5' ) > 'S6' ).
tff(func_def_157,type,
sK98: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_158,type,
sK99: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_159,type,
sK100: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_160,type,
sK101: ( $int * 'S5' ) > 'S6' ).
tff(func_def_161,type,
sK102: ( $int * 'S5' ) > 'S6' ).
tff(func_def_162,type,
sK103: ( $int * 'S5' ) > 'S6' ).
tff(func_def_163,type,
sK104: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_164,type,
sK105: ( $int * 'S5' ) > 'S6' ).
tff(func_def_165,type,
sK106: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_166,type,
sK107: ( $int * 'S5' ) > 'S6' ).
tff(func_def_167,type,
sK108: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_168,type,
sK109: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_169,type,
sK110: ( 'S9' * 'S5' ) > 'S8' ).
tff(func_def_170,type,
sK111: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_171,type,
sK112: ( $int * 'S5' ) > 'S6' ).
tff(func_def_172,type,
sK113: ( $int * 'S5' ) > $int ).
tff(func_def_173,type,
sK114: ( $int * 'S5' ) > 'S6' ).
tff(func_def_174,type,
sK115: ( $int * 'S5' ) > $int ).
tff(func_def_175,type,
sK116: ( $real * 'S5' ) > 'S4' ).
tff(func_def_176,type,
sK117: ( $real * 'S5' ) > 'S4' ).
tff(func_def_177,type,
sK118: ( $real * 'S5' ) > 'S4' ).
tff(func_def_178,type,
sK119: ( $real * 'S5' ) > 'S4' ).
tff(func_def_179,type,
sK120: ( $real * 'S5' ) > 'S4' ).
tff(func_def_180,type,
sK121: ( $real * 'S5' ) > 'S4' ).
tff(func_def_181,type,
sK122: ( $real * 'S5' ) > 'S4' ).
tff(func_def_182,type,
sK123: ( $real * 'S5' ) > 'S4' ).
tff(func_def_183,type,
sK124: ( $real * 'S5' ) > $real ).
tff(func_def_184,type,
sK125: ( $real * 'S5' ) > 'S4' ).
tff(func_def_185,type,
sK126: ( $real * 'S5' ) > $real ).
tff(func_def_186,type,
sK127: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_187,type,
sK128: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_188,type,
sK129: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_189,type,
sK130: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_190,type,
sK131: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_191,type,
sK132: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_192,type,
sK133: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_193,type,
sK134: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_194,type,
sK135: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_195,type,
sK136: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_196,type,
sK137: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_197,type,
sK138: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_198,type,
sK139: ( $real * $real ) > 'S2' ).
tff(func_def_199,type,
sK140: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_200,type,
sK141: ( $real * $real ) > $real ).
tff(func_def_201,type,
sK142: ( 'S9' * 'S5' ) > 'S9' ).
tff(func_def_202,type,
sK143: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_203,type,
sK144: ( $real * 'S5' ) > $real ).
tff(func_def_204,type,
sK145: ( $int * 'S5' ) > $int ).
tff(func_def_205,type,
sK146: ( $real * $real ) > $real ).
tff(func_def_206,type,
sK147: ( $real * $real ) > 'S5' ).
tff(func_def_207,type,
sK148: ( 'S5' * 'S9' ) > $int ).
tff(func_def_208,type,
sK149: ( 'S5' * 'S9' ) > 'S8' ).
tff(func_def_209,type,
sK150: ( 'S5' * $int ) > $int ).
tff(func_def_210,type,
sK151: ( 'S5' * $int ) > 'S6' ).
tff(func_def_211,type,
sK152: ( 'S5' * $real ) > $int ).
tff(func_def_212,type,
sK153: ( 'S5' * $real ) > 'S4' ).
tff(func_def_213,type,
sK154: ( 'S5' * 'S5' ) > $int ).
tff(func_def_214,type,
sK155: ( 'S5' * 'S5' ) > 'S17' ).
tff(func_def_215,type,
sK156: ( 'S5' * 'S5' ) > $int ).
tff(func_def_216,type,
sK157: ( 'S5' * 'S5' ) > $int ).
tff(func_def_217,type,
sK158: ( 'S5' * 'S5' ) > $int ).
tff(func_def_218,type,
sK159: ( 'S5' * 'S5' ) > $int ).
tff(func_def_219,type,
sK160: ( $real * $real ) > 'S2' ).
tff(func_def_220,type,
sK161: ( $real * $real ) > 'S5' ).
tff(func_def_221,type,
sK162: ( 'S5' * 'S5' ) > 'S5' ).
tff(func_def_222,type,
sK163: ( 'S5' * 'S5' ) > $int ).
tff(func_def_223,type,
sK164: ( 'S5' * 'S5' ) > $int ).
tff(func_def_224,type,
sK165: ( $real * $real ) > $real ).
tff(func_def_225,type,
sK166: ( $real * $real ) > $real ).
tff(func_def_226,type,
sK167: ( $real * $real ) > 'S2' ).
tff(func_def_227,type,
sK168: ( $real * $real ) > 'S5' ).
tff(func_def_228,type,
sK169: ( $real * $real ) > 'S2' ).
tff(func_def_229,type,
sK170: ( $real * $real ) > $real ).
tff(func_def_230,type,
sK171: ( $real * $real ) > 'S2' ).
tff(func_def_231,type,
sK172: ( $real * $real ) > $real ).
tff(func_def_232,type,
sK173: ( $real * $real ) > $real ).
tff(func_def_233,type,
sK174: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_234,type,
sK175: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_235,type,
sK176: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_236,type,
sK177: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_237,type,
sK178: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_238,type,
sK179: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_239,type,
sK180: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).
tff(func_def_240,type,
sK181: ( $int * 'S5' * 'S5' ) > 'S6' ).
tff(func_def_241,type,
sK182: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_242,type,
sK183: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_243,type,
sK184: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_244,type,
sK185: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_245,type,
sK186: ( $int * $int * $int ) > 'S13' ).
tff(func_def_246,type,
sK187: ( $int * $int * $int ) > 'S13' ).
tff(func_def_247,type,
sK188: ( $int * $int * $int ) > 'S13' ).
tff(func_def_248,type,
sK189: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_249,type,
sK190: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_250,type,
sK191: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_251,type,
sK192: ( $real * 'S5' * 'S5' ) > 'S4' ).
tff(func_def_252,type,
sK193: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_253,type,
sK194: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_254,type,
sK195: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_255,type,
sK196: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_256,type,
sK197: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_257,type,
sK198: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_258,type,
sK199: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_259,type,
sK200: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_260,type,
sK201: ( $real * $real * $real ) > 'S2' ).
tff(func_def_261,type,
sK202: ( $real * $real * $real ) > 'S2' ).
tff(func_def_262,type,
sK203: ( $real * $real * $real ) > 'S2' ).
tff(func_def_263,type,
sK204: ( $real * $real * $real ) > 'S2' ).
tff(func_def_264,type,
sK205: ( $real * $real * $real ) > 'S2' ).
tff(func_def_265,type,
sK206: ( $real * $real * $real ) > 'S2' ).
tff(func_def_266,type,
sK207: ( $real * $real * $real ) > 'S2' ).
tff(func_def_267,type,
sK208: ( $real * $real * $real ) > 'S2' ).
tff(func_def_268,type,
sK209: ( $real * $real * $real ) > $real ).
tff(func_def_269,type,
sK210: ( $real * $real * $real ) > 'S2' ).
tff(func_def_270,type,
sK211: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_271,type,
sK212: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_272,type,
sK213: ( $int * $int * $int ) > 'S13' ).
tff(func_def_273,type,
sK214: ( $int * $int * $int ) > 'S13' ).
tff(func_def_274,type,
sK215: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_275,type,
sK216: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_276,type,
sK217: ( $real * $real * $real ) > 'S2' ).
tff(func_def_277,type,
sK218: ( $real * $real * $real ) > 'S2' ).
tff(func_def_278,type,
sK219: ( 'S2' * $real * $real ) > $real ).
tff(func_def_279,type,
sK220: ( 'S2' * $real * $real ) > $real ).
tff(func_def_280,type,
sK221: ( 'S2' * $real * $real ) > 'S2' ).
tff(func_def_281,type,
sK222: ( 'S5' * 'S5' * 'S9' ) > $int ).
tff(func_def_282,type,
sK223: ( 'S5' * 'S5' * 'S9' ) > $int ).
tff(func_def_283,type,
sK224: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).
tff(func_def_284,type,
sK225: ( 'S5' * 'S5' * $int ) > $int ).
tff(func_def_285,type,
sK226: ( 'S5' * 'S5' * $int ) > $int ).
tff(func_def_286,type,
sK227: ( 'S5' * 'S5' * $int ) > 'S6' ).
tff(func_def_287,type,
sK228: ( 'S5' * 'S5' * $real ) > $int ).
tff(func_def_288,type,
sK229: ( 'S5' * 'S5' * $real ) > $int ).
tff(func_def_289,type,
sK230: ( 'S5' * 'S5' * $real ) > 'S4' ).
tff(func_def_290,type,
sK231: ( 'S5' * 'S5' * 'S5' ) > $int ).
tff(func_def_291,type,
sK232: ( 'S5' * 'S5' * 'S5' ) > $int ).
tff(func_def_292,type,
sK233: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_293,type,
sK234: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_294,type,
sK235: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_295,type,
sK236: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_296,type,
sK237: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_297,type,
sK238: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_298,type,
sK239: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S9' ).
tff(func_def_299,type,
sK240: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_300,type,
sK241: ( $int * $int * $int * $int ) > $int ).
tff(func_def_301,type,
sK242: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_302,type,
sK243: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S5' ).
tff(func_def_303,type,
sK244: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_304,type,
sK245: ( $real * $real * $real * $real ) > $real ).
tff(func_def_305,type,
sK246: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_306,type,
sK247: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).
tff(func_def_307,type,
sK248: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_308,type,
sK249: ( $int * $int * $int * $int ) > 'S13' ).
tff(func_def_309,type,
sK250: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_310,type,
sK251: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).
tff(func_def_311,type,
sK252: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_312,type,
sK253: ( $real * $real * $real * $real ) > 'S2' ).
tff(func_def_313,type,
sK254: $real ).
tff(func_def_314,type,
sK255: $real ).
tff(func_def_315,type,
sK256: $real ).
tff(func_def_316,type,
sK257: $real ).
tff(func_def_317,type,
sK258: $real ).
tff(func_def_318,type,
sK259: $real ).
tff(func_def_319,type,
sK260: $real ).
tff(pred_def_5,type,
sP0: $real > $o ).
tff(pred_def_6,type,
sP1: $real > $o ).
tff(pred_def_7,type,
sP2: $real > $o ).
tff(pred_def_8,type,
sP3: ( 'S5' * 'S5' ) > $o ).
tff(pred_def_9,type,
sP4: ( $real * $real * $real ) > $o ).
tff(pred_def_10,type,
sP5: ( 'S5' * 'S5' * $int * $int ) > $o ).
tff(f2716,plain,
$false,
inference(avatar_sat_refutation,[],[f2520,f2524,f2529,f2534,f2539,f2544,f2549,f2554,f2559,f2564,f2569,f2573,f2577,f2581,f2585,f2589,f2593,f2597,f2601,f2606,f2611,f2616,f2621,f2626,f2630,f2634,f2638,f2643,f2648,f2652,f2656,f2661,f2675,f2679,f2684,f2689,f2694,f2698,f2707,f2710,f2715]) ).
tff(f2715,plain,
( ~ spl261_11
| ~ spl261_39 ),
inference(avatar_contradiction_clause,[],[f2714]) ).
tff(f2714,plain,
( $false
| ~ spl261_11
| ~ spl261_39 ),
inference(evaluation,[],[f2713]) ).
tff(f2713,plain,
( $less(0.0,0.0)
| ~ spl261_11
| ~ spl261_39 ),
inference(forward_demodulation,[],[f2702,f2568]) ).
tff(f2568,plain,
( ( 0.0 = sK258 )
| ~ spl261_11 ),
inference(avatar_component_clause,[],[f2566]) ).
tff(f2566,plain,
( spl261_11
<=> ( 0.0 = sK258 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_11])]) ).
tff(f2702,plain,
( $less(sK258,0.0)
| ~ spl261_39 ),
inference(avatar_component_clause,[],[f2700]) ).
tff(f2700,plain,
( spl261_39
<=> $less(sK258,0.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_39])]) ).
tff(f2710,plain,
( ~ spl261_11
| ~ spl261_40 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
tff(f2709,plain,
( $false
| ~ spl261_11
| ~ spl261_40 ),
inference(evaluation,[],[f2708]) ).
tff(f2708,plain,
( ( 0.0 = 1.0 )
| ~ spl261_11
| ~ spl261_40 ),
inference(forward_demodulation,[],[f2706,f2568]) ).
tff(f2706,plain,
( ( 1.0 = sK258 )
| ~ spl261_40 ),
inference(avatar_component_clause,[],[f2704]) ).
tff(f2704,plain,
( spl261_40
<=> ( 1.0 = sK258 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_40])]) ).
tff(f2707,plain,
( spl261_39
| spl261_40 ),
inference(avatar_split_clause,[],[f2082,f2704,f2700]) ).
tff(f2082,plain,
( ( 1.0 = sK258 )
| $less(sK258,0.0) ),
inference(cnf_transformation,[],[f1383]) ).
tff(f1383,plain,
( ( ( 1.0 = sK258 )
| $less(sK258,0.0) )
& ( ( 1.0 = $uminus(sK258) )
| ~ $less(sK258,0.0) )
& ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = sK258 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK258])],[f909,f1382]) ).
tff(f1382,plain,
( ? [X0: $real] :
( ( ( 1.0 = X0 )
| $less(X0,0.0) )
& ( ( $uminus(X0) = 1.0 )
| ~ $less(X0,0.0) )
& ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = X0 ) )
=> ( ( ( 1.0 = sK258 )
| $less(sK258,0.0) )
& ( ( 1.0 = $uminus(sK258) )
| ~ $less(sK258,0.0) )
& ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = sK258 ) ) ),
introduced(choice_axiom,[]) ).
tff(f909,plain,
? [X0: $real] :
( ( ( 1.0 = X0 )
| $less(X0,0.0) )
& ( ( $uminus(X0) = 1.0 )
| ~ $less(X0,0.0) )
& ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = X0 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
? [X0: $real] :
( ( ~ $less(X0,0.0)
=> ( 1.0 = X0 ) )
& ( $less(X0,0.0)
=> ( $uminus(X0) = 1.0 ) )
& ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).
tff(f2698,plain,
spl261_38,
inference(avatar_split_clause,[],[f1527,f2696]) ).
tff(f2696,plain,
( spl261_38
<=> ! [X0: $real] : $less(X0,f8(f9,sK20(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_38])]) ).
tff(f1527,plain,
! [X0: $real] : $less(X0,f8(f9,sK20(X0))),
inference(cnf_transformation,[],[f970]) ).
tff(f970,plain,
! [X0: $real] : $less(X0,f8(f9,sK20(X0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f555,f969]) ).
tff(f969,plain,
! [X0: $real] :
( ? [X1: 'S5'] : $less(X0,f8(f9,X1))
=> $less(X0,f8(f9,sK20(X0))) ),
introduced(choice_axiom,[]) ).
tff(f555,plain,
! [X0: $real] :
? [X1: 'S5'] : $less(X0,f8(f9,X1)),
inference(rectify,[],[f124]) ).
tff(f124,axiom,
! [X1: $real] :
? [X5: 'S5'] : $less(X1,f8(f9,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_124) ).
tff(f2694,plain,
spl261_37,
inference(avatar_split_clause,[],[f1401,f2691]) ).
tff(f2691,plain,
( spl261_37
<=> $less($uminus($product(2.0,f7)),f7) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_37])]) ).
tff(f1401,plain,
$less($uminus($product(2.0,f7)),f7),
inference(cnf_transformation,[],[f46]) ).
tff(f46,axiom,
$less($uminus($product(2.0,f7)),f7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_46) ).
tff(f2689,plain,
spl261_36,
inference(avatar_split_clause,[],[f1399,f2686]) ).
tff(f2686,plain,
( spl261_36
<=> ( f1 = f26(f13(f14,0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_36])]) ).
tff(f1399,plain,
f1 = f26(f13(f14,0)),
inference(cnf_transformation,[],[f118]) ).
tff(f118,axiom,
f1 = f26(f13(f14,0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_118) ).
tff(f2684,plain,
~ spl261_35,
inference(avatar_split_clause,[],[f1398,f2681]) ).
tff(f2681,plain,
( spl261_35
<=> ( f1 = f26(f13(f14,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_35])]) ).
tff(f1398,plain,
f1 != f26(f13(f14,1)),
inference(cnf_transformation,[],[f117]) ).
tff(f117,axiom,
f1 != f26(f13(f14,1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_117) ).
tff(f2679,plain,
spl261_34,
inference(avatar_split_clause,[],[f464,f2677]) ).
tff(f2677,plain,
( spl261_34
<=> ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_34])]) ).
tff(f464,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f2675,plain,
spl261_33,
inference(avatar_split_clause,[],[f446,f2673]) ).
tff(f2673,plain,
( spl261_33
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_33])]) ).
tff(f446,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f2661,plain,
spl261_32,
inference(avatar_split_clause,[],[f2383,f2658]) ).
tff(f2658,plain,
( spl261_32
<=> ( f3(f4,f7) = -1.0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_32])]) ).
tff(f2383,plain,
f3(f4,f7) = -1.0,
inference(evaluation,[],[f1400]) ).
tff(f1400,plain,
f3(f4,f7) = $uminus(1.0),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
f3(f4,f7) = $uminus(1.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11) ).
tff(f2656,plain,
spl261_31,
inference(avatar_split_clause,[],[f2380,f2654]) ).
tff(f2654,plain,
( spl261_31
<=> ! [X0: $real] : ~ $less(f3(f31,X0),-1.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_31])]) ).
tff(f2380,plain,
! [X0: $real] : ~ $less(f3(f31,X0),-1.0),
inference(evaluation,[],[f1422]) ).
tff(f1422,plain,
! [X0: $real] : ~ $less(f3(f31,X0),$uminus(1.0)),
inference(cnf_transformation,[],[f482]) ).
tff(f482,plain,
! [X0: $real] : ~ $less(f3(f31,X0),$uminus(1.0)),
inference(rectify,[],[f367]) ).
tff(f367,plain,
! [X1: $real] : ~ $less(f3(f31,X1),$uminus(1.0)),
inference(theory_normalization,[],[f165]) ).
tff(f165,axiom,
! [X1: $real] : $lesseq($uminus(1.0),f3(f31,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_165) ).
tff(f2652,plain,
spl261_30,
inference(avatar_split_clause,[],[f2379,f2650]) ).
tff(f2650,plain,
( spl261_30
<=> ! [X0: $real] : ~ $less(f3(f4,X0),-1.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_30])]) ).
tff(f2379,plain,
! [X0: $real] : ~ $less(f3(f4,X0),-1.0),
inference(evaluation,[],[f1423]) ).
tff(f1423,plain,
! [X0: $real] : ~ $less(f3(f4,X0),$uminus(1.0)),
inference(cnf_transformation,[],[f483]) ).
tff(f483,plain,
! [X0: $real] : ~ $less(f3(f4,X0),$uminus(1.0)),
inference(rectify,[],[f368]) ).
tff(f368,plain,
! [X1: $real] : ~ $less(f3(f4,X1),$uminus(1.0)),
inference(theory_normalization,[],[f43]) ).
tff(f43,axiom,
! [X1: $real] : $lesseq($uminus(1.0),f3(f4,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_43) ).
tff(f2648,plain,
spl261_29,
inference(avatar_split_clause,[],[f2304,f2645]) ).
tff(f2645,plain,
( spl261_29
<=> ( 0.0 = f3(f4,sK259) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_29])]) ).
tff(f2304,plain,
0.0 = f3(f4,sK259),
inference(definition_unfolding,[],[f2086,f2083]) ).
tff(f2083,plain,
0.0 = sK260,
inference(cnf_transformation,[],[f1385]) ).
tff(f1385,plain,
( ! [X2: $real] :
( ( sK259 = X2 )
| ( f3(f4,X2) != sK260 )
| $less(2.0,X2)
| $less(X2,sK260) )
& ( sK260 = f3(f4,sK259) )
& ~ $less(2.0,sK259)
& ~ $less(sK259,sK260)
& ( 0.0 = sK260 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK259,sK260])],[f911,f1384]) ).
tff(f1384,plain,
( ? [X0: $real,X1: $real] :
( ! [X2: $real] :
( ( X0 = X2 )
| ( f3(f4,X2) != X1 )
| $less(2.0,X2)
| $less(X2,X1) )
& ( f3(f4,X0) = X1 )
& ~ $less(2.0,X0)
& ~ $less(X0,X1)
& ( 0.0 = X1 ) )
=> ( ! [X2: $real] :
( ( sK259 = X2 )
| ( f3(f4,X2) != sK260 )
| $less(2.0,X2)
| $less(X2,sK260) )
& ( sK260 = f3(f4,sK259) )
& ~ $less(2.0,sK259)
& ~ $less(sK259,sK260)
& ( 0.0 = sK260 ) ) ),
introduced(choice_axiom,[]) ).
tff(f911,plain,
? [X0: $real,X1: $real] :
( ! [X2: $real] :
( ( X0 = X2 )
| ( f3(f4,X2) != X1 )
| $less(2.0,X2)
| $less(X2,X1) )
& ( f3(f4,X0) = X1 )
& ~ $less(2.0,X0)
& ~ $less(X0,X1)
& ( 0.0 = X1 ) ),
inference(flattening,[],[f910]) ).
tff(f910,plain,
? [X0: $real,X1: $real] :
( ! [X2: $real] :
( ( X0 = X2 )
| ( f3(f4,X2) != X1 )
| $less(2.0,X2)
| $less(X2,X1) )
& ( f3(f4,X0) = X1 )
& ~ $less(2.0,X0)
& ~ $less(X0,X1)
& ( 0.0 = X1 ) ),
inference(ennf_transformation,[],[f802]) ).
tff(f802,plain,
? [X0: $real,X1: $real] :
( ! [X2: $real] :
( ( ( f3(f4,X2) = X1 )
& ~ $less(2.0,X2)
& ~ $less(X2,X1) )
=> ( X0 = X2 ) )
& ( f3(f4,X0) = X1 )
& ~ $less(2.0,X0)
& ~ $less(X0,X1)
& ( 0.0 = X1 ) ),
inference(rectify,[],[f441]) ).
tff(f441,plain,
? [X1: $real,X16: $real] :
( ! [X5: $real] :
( ( ( f3(f4,X5) = X16 )
& ~ $less(2.0,X5)
& ~ $less(X5,X16) )
=> ( X1 = X5 ) )
& ( f3(f4,X1) = X16 )
& ~ $less(2.0,X1)
& ~ $less(X1,X16)
& ( 0.0 = X16 ) ),
inference(theory_normalization,[],[f63]) ).
tff(f63,axiom,
? [X1: $real,X16: $real] :
( ! [X5: $real] :
( ( ( f3(f4,X5) = X16 )
& $lesseq(X5,2.0)
& $lesseq(X16,X5) )
=> ( X1 = X5 ) )
& ( f3(f4,X1) = X16 )
& $lesseq(X1,2.0)
& $lesseq(X16,X1)
& ( 0.0 = X16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_63) ).
tff(f2086,plain,
sK260 = f3(f4,sK259),
inference(cnf_transformation,[],[f1385]) ).
tff(f2643,plain,
spl261_28,
inference(avatar_split_clause,[],[f2302,f2640]) ).
tff(f2640,plain,
( spl261_28
<=> ( 0.0 = f3(f31,0.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_28])]) ).
tff(f2302,plain,
0.0 = f3(f31,0.0),
inference(definition_unfolding,[],[f2079,f2078,f2078]) ).
tff(f2078,plain,
0.0 = sK257,
inference(cnf_transformation,[],[f1381]) ).
tff(f1381,plain,
( ( sK257 = f3(f31,sK257) )
& ( 0.0 = sK257 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK257])],[f801,f1380]) ).
tff(f1380,plain,
( ? [X0: $real] :
( ( f3(f31,X0) = X0 )
& ( 0.0 = X0 ) )
=> ( ( sK257 = f3(f31,sK257) )
& ( 0.0 = sK257 ) ) ),
introduced(choice_axiom,[]) ).
tff(f801,plain,
? [X0: $real] :
( ( f3(f31,X0) = X0 )
& ( 0.0 = X0 ) ),
inference(rectify,[],[f166]) ).
tff(f166,axiom,
? [X93: $real] :
( ( f3(f31,X93) = X93 )
& ( 0.0 = X93 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_166) ).
tff(f2079,plain,
sK257 = f3(f31,sK257),
inference(cnf_transformation,[],[f1381]) ).
tff(f2638,plain,
spl261_27,
inference(avatar_split_clause,[],[f1421,f2636]) ).
tff(f2636,plain,
( spl261_27
<=> ! [X0: $real] : ~ $less(1.0,f3(f4,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_27])]) ).
tff(f1421,plain,
! [X0: $real] : ~ $less(1.0,f3(f4,X0)),
inference(cnf_transformation,[],[f481]) ).
tff(f481,plain,
! [X0: $real] : ~ $less(1.0,f3(f4,X0)),
inference(rectify,[],[f366]) ).
tff(f366,plain,
! [X1: $real] : ~ $less(1.0,f3(f4,X1)),
inference(theory_normalization,[],[f42]) ).
tff(f42,axiom,
! [X1: $real] : $lesseq(f3(f4,X1),1.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_42) ).
tff(f2634,plain,
spl261_26,
inference(avatar_split_clause,[],[f1420,f2632]) ).
tff(f2632,plain,
( spl261_26
<=> ! [X0: $real] : ~ $less(1.0,f3(f31,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_26])]) ).
tff(f1420,plain,
! [X0: $real] : ~ $less(1.0,f3(f31,X0)),
inference(cnf_transformation,[],[f480]) ).
tff(f480,plain,
! [X0: $real] : ~ $less(1.0,f3(f31,X0)),
inference(rectify,[],[f365]) ).
tff(f365,plain,
! [X1: $real] : ~ $less(1.0,f3(f31,X1)),
inference(theory_normalization,[],[f164]) ).
tff(f164,axiom,
! [X1: $real] : $lesseq(f3(f31,X1),1.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_164) ).
tff(f2630,plain,
spl261_25,
inference(avatar_split_clause,[],[f1418,f2628]) ).
tff(f2628,plain,
( spl261_25
<=> ! [X0: 'S5'] : ~ $less(f8(f9,X0),0.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_25])]) ).
tff(f1418,plain,
! [X0: 'S5'] : ~ $less(f8(f9,X0),0.0),
inference(cnf_transformation,[],[f478]) ).
tff(f478,plain,
! [X0: 'S5'] : ~ $less(f8(f9,X0),0.0),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X1: 'S5'] : ~ $less(f8(f9,X1),0.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_36) ).
tff(f2626,plain,
~ spl261_24,
inference(avatar_split_clause,[],[f1397,f2623]) ).
tff(f2623,plain,
( spl261_24
<=> $less(0.0,f3(f4,2.0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_24])]) ).
tff(f1397,plain,
~ $less(0.0,f3(f4,2.0)),
inference(cnf_transformation,[],[f362]) ).
tff(f362,plain,
~ $less(0.0,f3(f4,2.0)),
inference(theory_normalization,[],[f38]) ).
tff(f38,axiom,
$lesseq(f3(f4,2.0),0.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_38) ).
tff(f2621,plain,
spl261_23,
inference(avatar_split_clause,[],[f1396,f2618]) ).
tff(f2618,plain,
( spl261_23
<=> $less(f3(f4,2.0),0.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_23])]) ).
tff(f1396,plain,
$less(f3(f4,2.0),0.0),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
$less(f3(f4,2.0),0.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_39) ).
tff(f2616,plain,
spl261_22,
inference(avatar_split_clause,[],[f1395,f2613]) ).
tff(f2613,plain,
( spl261_22
<=> ( 0.0 = f3(f31,f7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_22])]) ).
tff(f1395,plain,
0.0 = f3(f31,f7),
inference(cnf_transformation,[],[f144]) ).
tff(f144,axiom,
0.0 = f3(f31,f7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_144) ).
tff(f2611,plain,
spl261_21,
inference(avatar_split_clause,[],[f1394,f2608]) ).
tff(f2608,plain,
( spl261_21
<=> ( 1.0 = f3(f4,0.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_21])]) ).
tff(f1394,plain,
1.0 = f3(f4,0.0),
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
1.0 = f3(f4,0.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).
tff(f2606,plain,
~ spl261_20,
inference(avatar_split_clause,[],[f1393,f2603]) ).
tff(f2603,plain,
( spl261_20
<=> ( 0.0 = f3(f4,2.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_20])]) ).
tff(f1393,plain,
0.0 != f3(f4,2.0),
inference(cnf_transformation,[],[f45]) ).
tff(f45,axiom,
0.0 != f3(f4,2.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_45) ).
tff(f2601,plain,
spl261_19,
inference(avatar_split_clause,[],[f474,f2599]) ).
tff(f2599,plain,
( spl261_19
<=> ! [X0: $real] : ( 0.0 = $product(X0,0.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_19])]) ).
tff(f474,plain,
! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
introduced(theory_axiom_149,[]) ).
tff(f2597,plain,
spl261_18,
inference(avatar_split_clause,[],[f473,f2595]) ).
tff(f2595,plain,
( spl261_18
<=> ! [X0: $real] : ( $product(X0,1.0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_18])]) ).
tff(f473,plain,
! [X0: $real] : ( $product(X0,1.0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f2593,plain,
spl261_17,
inference(avatar_split_clause,[],[f470,f2591]) ).
tff(f2591,plain,
( spl261_17
<=> ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_17])]) ).
tff(f470,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f2589,plain,
spl261_16,
inference(avatar_split_clause,[],[f462,f2587]) ).
tff(f2587,plain,
( spl261_16
<=> ! [X0: $real] : ( $sum(X0,0.0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_16])]) ).
tff(f462,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f2585,plain,
spl261_15,
inference(avatar_split_clause,[],[f456,f2583]) ).
tff(f2583,plain,
( spl261_15
<=> ! [X0: $int] : ( 0 = $product(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_15])]) ).
tff(f456,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f2581,plain,
spl261_14,
inference(avatar_split_clause,[],[f455,f2579]) ).
tff(f2579,plain,
( spl261_14
<=> ! [X0: $int] : ( $product(X0,1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_14])]) ).
tff(f455,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f2577,plain,
spl261_13,
inference(avatar_split_clause,[],[f452,f2575]) ).
tff(f2575,plain,
( spl261_13
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_13])]) ).
tff(f452,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f2573,plain,
spl261_12,
inference(avatar_split_clause,[],[f444,f2571]) ).
tff(f2571,plain,
( spl261_12
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_12])]) ).
tff(f444,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f2569,plain,
spl261_11,
inference(avatar_split_clause,[],[f2516,f2566]) ).
tff(f2516,plain,
0.0 = sK258,
inference(forward_demodulation,[],[f2080,f1416]) ).
tff(f1416,plain,
f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = 0.0,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = 0.0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f2080,plain,
f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = sK258,
inference(cnf_transformation,[],[f1383]) ).
tff(f2564,plain,
~ spl261_10,
inference(avatar_split_clause,[],[f2305,f2561]) ).
tff(f2561,plain,
( spl261_10
<=> $less(sK259,0.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_10])]) ).
tff(f2305,plain,
~ $less(sK259,0.0),
inference(definition_unfolding,[],[f2084,f2083]) ).
tff(f2084,plain,
~ $less(sK259,sK260),
inference(cnf_transformation,[],[f1385]) ).
tff(f2559,plain,
~ spl261_9,
inference(avatar_split_clause,[],[f2085,f2556]) ).
tff(f2556,plain,
( spl261_9
<=> $less(2.0,sK259) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_9])]) ).
tff(f2085,plain,
~ $less(2.0,sK259),
inference(cnf_transformation,[],[f1385]) ).
tff(f2554,plain,
~ spl261_8,
inference(avatar_split_clause,[],[f1391,f2551]) ).
tff(f2551,plain,
( spl261_8
<=> $less(f7,2.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_8])]) ).
tff(f1391,plain,
~ $less(f7,2.0),
inference(cnf_transformation,[],[f360]) ).
tff(f360,plain,
~ $less(f7,2.0),
inference(theory_normalization,[],[f47]) ).
tff(f47,axiom,
$lesseq(2.0,f7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_47) ).
tff(f2549,plain,
spl261_7,
inference(avatar_split_clause,[],[f1390,f2546]) ).
tff(f2546,plain,
( spl261_7
<=> $less(0.0,f7) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_7])]) ).
tff(f1390,plain,
$less(0.0,f7),
inference(cnf_transformation,[],[f50]) ).
tff(f50,axiom,
$less(0.0,f7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_50) ).
tff(f2544,plain,
spl261_6,
inference(avatar_split_clause,[],[f1389,f2541]) ).
tff(f2541,plain,
( spl261_6
<=> $less(f7,4.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_6])]) ).
tff(f1389,plain,
$less(f7,4.0),
inference(cnf_transformation,[],[f48]) ).
tff(f48,axiom,
$less(f7,4.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_48) ).
tff(f2539,plain,
~ spl261_5,
inference(avatar_split_clause,[],[f1388,f2536]) ).
tff(f2536,plain,
( spl261_5
<=> $less(f7,0.0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_5])]) ).
tff(f1388,plain,
~ $less(f7,0.0),
inference(cnf_transformation,[],[f51]) ).
tff(f51,axiom,
~ $less(f7,0.0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_51) ).
tff(f2534,plain,
~ spl261_4,
inference(avatar_split_clause,[],[f1387,f2531]) ).
tff(f2531,plain,
( spl261_4
<=> ( f7 = 0.0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_4])]) ).
tff(f1387,plain,
f7 != 0.0,
inference(cnf_transformation,[],[f52]) ).
tff(f52,axiom,
f7 != 0.0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_52) ).
tff(f2529,plain,
~ spl261_3,
inference(avatar_split_clause,[],[f1386,f2526]) ).
tff(f2526,plain,
( spl261_3
<=> ( f1 = f2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_3])]) ).
tff(f1386,plain,
f1 != f2,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
f1 != f2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f2524,plain,
spl261_2,
inference(avatar_split_clause,[],[f465,f2522]) ).
tff(f2522,plain,
( spl261_2
<=> ! [X0: $real] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_2])]) ).
tff(f465,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f2520,plain,
spl261_1,
inference(avatar_split_clause,[],[f447,f2518]) ).
tff(f2518,plain,
( spl261_1
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl261_1])]) ).
tff(f447,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW824_1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:30:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (3649)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3660)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3661)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3662)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (3660)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (3664)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (3659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (3663)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.41 % (3659)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (3659)Terminated due to inappropriate strategy.
% 0.14/0.41 % (3659)------------------------------
% 0.14/0.41 % (3659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.41 % (3659)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (3659)Memory used [KB]: 2032
% 0.14/0.41 % (3659)Time elapsed: 0.029 s
% 0.14/0.41 % (3659)Instructions burned: 65 (million)
% 0.14/0.41 % (3659)------------------------------
% 0.14/0.41 % (3659)------------------------------
% 0.14/0.41 % (3658)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (3658)Terminated due to inappropriate strategy.
% 0.14/0.41 % (3658)------------------------------
% 0.14/0.41 % (3658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.41 % (3658)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (3658)Memory used [KB]: 2031
% 0.14/0.41 % (3658)Time elapsed: 0.029 s
% 0.14/0.41 % (3658)Instructions burned: 66 (million)
% 0.14/0.41 % (3658)------------------------------
% 0.14/0.41 % (3658)------------------------------
% 0.14/0.41 % (3661)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.41 % (3661)Terminated due to inappropriate strategy.
% 0.14/0.41 % (3661)------------------------------
% 0.14/0.41 % (3661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.41 % (3661)Termination reason: Inappropriate
% 0.14/0.41
% 0.14/0.41 % (3661)Memory used [KB]: 2148
% 0.14/0.41 % (3661)Time elapsed: 0.030 s
% 0.14/0.41 % (3661)Instructions burned: 69 (million)
% 0.14/0.41 % (3661)------------------------------
% 0.14/0.41 % (3661)------------------------------
% 0.20/0.42 % (3689)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.42 % (3690)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.43 % (3692)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.43 % (3662)First to succeed.
% 0.20/0.44 % (3662)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (3662)------------------------------
% 0.20/0.44 % (3662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.44 % (3662)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (3662)Memory used [KB]: 2492
% 0.20/0.44 % (3662)Time elapsed: 0.057 s
% 0.20/0.44 % (3662)Instructions burned: 115 (million)
% 0.20/0.44 % (3662)------------------------------
% 0.20/0.44 % (3662)------------------------------
% 0.20/0.44 % (3649)Success in time 0.087 s
%------------------------------------------------------------------------------