%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU517^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:32:16 AM UTC 2026
% Result : Theorem 9.04s 1.80s
% Output : Refutation 11.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 91 ( 35 unt; 0 typ; 4 def)
% Number of atoms : 1166 ( 332 equ; 0 cnn)
% Maximal formula atoms : 34 ( 12 avg)
% Number of connectives : 1077 ( 11 ~; 82 |; 99 &; 623 @)
% ( 2 <=>; 187 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 355 ( 351 usr; 73 con; 0-4 aty)
% ( 73 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 217 ( 112 ^; 103 !; 2 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
vAND: $o > $o > $o ).
thf(func_def_47,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_50,type,
vIMP: $o > $o > $o ).
thf(func_def_51,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_53,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_54,type,
vIFF: $o > $o > $o ).
thf(func_def_55,type,
vNOT: $o > $o ).
thf(func_def_56,type,
vOR: $o > $o > $o ).
thf(func_def_57,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
sF1: $o ).
thf(func_def_63,type,
sF2: $o ).
thf(func_def_64,type,
sF3: $o ).
thf(func_def_65,type,
sF4: $o ).
thf(func_def_66,type,
sF5: $o ).
thf(func_def_67,type,
sF6: $o ).
thf(func_def_68,type,
sF7: $o ).
thf(func_def_69,type,
sF8: $o ).
thf(func_def_70,type,
sF9: $o ).
thf(func_def_71,type,
sF10: $o ).
thf(func_def_72,type,
sF11: $o ).
thf(func_def_73,type,
sF12: $o ).
thf(func_def_74,type,
sF13: $o ).
thf(func_def_75,type,
sF14: $o ).
thf(func_def_76,type,
sF15: $o ).
thf(func_def_77,type,
sF16: $o ).
thf(func_def_79,type,
sF18: $o ).
thf(func_def_80,type,
sF19: $o ).
thf(func_def_81,type,
sF20: $o ).
thf(func_def_82,type,
sF21: $o ).
thf(func_def_83,type,
sF22: $o ).
thf(func_def_84,type,
sF23: $o ).
thf(func_def_85,type,
sF24: $o ).
thf(func_def_86,type,
sF25: $o ).
thf(func_def_87,type,
sF26: $o ).
thf(func_def_88,type,
sF27: $o ).
thf(func_def_89,type,
sF28: $o ).
thf(func_def_90,type,
sF29: $o ).
thf(func_def_92,type,
sF31: $o ).
thf(func_def_93,type,
sF32: $o ).
thf(func_def_94,type,
sF33: $o ).
thf(func_def_95,type,
sF34: $o ).
thf(func_def_99,type,
sK38: $i > $i > $i ).
thf(func_def_107,type,
sK46: $i > $i > $i ).
thf(func_def_111,type,
sK50: $i > $i > $i ).
thf(func_def_115,type,
sK54: $i > $i ).
thf(func_def_117,type,
sK56: $i > $i > $o ).
thf(func_def_118,type,
sK57: $i > $i ).
thf(func_def_119,type,
sK58: $i > $i ).
thf(func_def_120,type,
sK59: $i > $i ).
thf(func_def_121,type,
sK60: $i > ( $i > $i > $o ) > $i ).
thf(func_def_122,type,
sK61: $i > ( $i > $i > $o ) > $i ).
thf(func_def_123,type,
sK62: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_124,type,
sK63: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_125,type,
sK64: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_126,type,
sK65: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_129,type,
sK68: $i > $i ).
thf(func_def_130,type,
sK69: $i > $i ).
thf(func_def_132,type,
sK71: $i > $i ).
thf(func_def_133,type,
sK72: $i > $i ).
thf(func_def_134,type,
sK73: $i > $i ).
thf(func_def_135,type,
sK74: $i > $i ).
thf(func_def_136,type,
sK75: $i > $i ).
thf(func_def_137,type,
sK76: $i > $i ).
thf(func_def_138,type,
sK77: $i > $i ).
thf(func_def_139,type,
sK78: $i > $i ).
thf(func_def_140,type,
sK79: $i > $i ).
thf(func_def_141,type,
sK80: $i > $i ).
thf(func_def_142,type,
sK81: $i > $i ).
thf(func_def_143,type,
sK82: $i > $i ).
thf(func_def_144,type,
sK83: $i > $i ).
thf(func_def_145,type,
sK84: $i > $i ).
thf(func_def_146,type,
sK85: $i > $i ).
thf(func_def_147,type,
sK86: $i > $i ).
thf(func_def_148,type,
sK87: $i > $i ).
thf(func_def_149,type,
sK88: $i > $i ).
thf(func_def_150,type,
sK89: $i > $i ).
thf(func_def_151,type,
sK90: $i > $i ).
thf(func_def_152,type,
sK91: $i > $i ).
thf(func_def_153,type,
sK92: $i > $i > $i > $i ).
thf(func_def_154,type,
sK93: $i > $i > $i ).
thf(func_def_155,type,
sK94: $i > $i > $i > $i ).
thf(func_def_156,type,
sK95: $i > $i > $i > $i ).
thf(func_def_157,type,
sK96: $i > $i > $i ).
thf(func_def_158,type,
sK97: $i > $i > $i > $i ).
thf(func_def_159,type,
sK98: $i > $i > $i > $i ).
thf(func_def_160,type,
sK99: $i > $i > $i ).
thf(func_def_161,type,
sK100: $i > $i > $i > $i ).
thf(func_def_162,type,
sK101: $i > $i > $i > $i ).
thf(func_def_163,type,
sK102: $i > $i > $i ).
thf(func_def_164,type,
sK103: $i > $i > $i > $i ).
thf(func_def_165,type,
sK104: $i > $i > $i > $i ).
thf(func_def_166,type,
sK105: $i > $i > $i ).
thf(func_def_167,type,
sK106: $i > $i > $i > $i ).
thf(func_def_168,type,
sK107: $i > $i > $i > $i ).
thf(func_def_169,type,
sK108: $i > $i > $i ).
thf(func_def_170,type,
sK109: $i > $i > $i > $i ).
thf(func_def_171,type,
sK110: $i > $i > $i > $i ).
thf(func_def_172,type,
sK111: $i > $i > $i ).
thf(func_def_173,type,
sK112: $i > $i > $i > $i ).
thf(func_def_174,type,
sK113: $i > $i > $i > $i ).
thf(func_def_175,type,
sK114: $i > $i > $i ).
thf(func_def_176,type,
sK115: $i > $i > $i > $i ).
thf(func_def_177,type,
sK116: $i > $i ).
thf(func_def_178,type,
sK117: $i > $i > $i > $i ).
thf(func_def_179,type,
sK118: $i > $i > $i ).
thf(func_def_180,type,
sK119: $i > $i > $i > $i ).
thf(func_def_181,type,
sK120: $i > $i > $i ).
thf(func_def_182,type,
sK121: $i > $i > $i > $i ).
thf(func_def_183,type,
sK122: $i > $i > $i > $i ).
thf(func_def_184,type,
sK123: $i > $i > $i ).
thf(func_def_185,type,
sK124: $i > $i > $i > $i ).
thf(func_def_186,type,
sK125: $i > $i > $i ).
thf(func_def_187,type,
sK126: $i > $i > $i > $i ).
thf(func_def_188,type,
sK127: $i > $i > $i > $i ).
thf(func_def_189,type,
sK128: $i > $i > $i ).
thf(func_def_190,type,
sK129: $i > $i > $i > $i ).
thf(func_def_191,type,
sK130: $i > $i > $i ).
thf(func_def_192,type,
sK131: $i > $i > $i > $i ).
thf(func_def_193,type,
sK132: $i > $i > $i > $i ).
thf(func_def_194,type,
sK133: $i > $i > $i ).
thf(func_def_195,type,
sK134: $i > $i > $i > $i ).
thf(func_def_196,type,
sK135: $i > $i > $i ).
thf(func_def_197,type,
sK136: $i > $i > $i > $i ).
thf(func_def_198,type,
sK137: $i > $i ).
thf(func_def_199,type,
sK138: $i > $i > $i > $i ).
thf(func_def_200,type,
sK139: $i > $i > $i ).
thf(func_def_201,type,
sK140: $i > $i > $i > $i ).
thf(func_def_202,type,
sK141: $i > $i > $i ).
thf(func_def_203,type,
sK142: $i > $i > $i > $i ).
thf(func_def_204,type,
sK143: $i > $i > $i > $i ).
thf(func_def_205,type,
sK144: $i > $i > $i ).
thf(func_def_206,type,
sK145: $i > $i > $i > $i ).
thf(func_def_207,type,
sK146: $i > $i > $i ).
thf(func_def_208,type,
sK147: $i > $i > $i > $i ).
thf(func_def_209,type,
sK148: $i > $i > $i > $i ).
thf(func_def_210,type,
sK149: $i > $i > $i ).
thf(func_def_211,type,
sK150: $i > $i > $i > $i ).
thf(func_def_212,type,
sK151: $i > $i > $i ).
thf(func_def_213,type,
sK152: $i > $i > $i > $i ).
thf(func_def_214,type,
sK153: $i > $i > $i > $i ).
thf(func_def_215,type,
sK154: $i > $i > $i ).
thf(func_def_216,type,
sK155: $i > $i > $i > $i ).
thf(func_def_217,type,
sK156: $i > $i > $i ).
thf(func_def_218,type,
sK157: $i > $i > $i > $i ).
thf(func_def_219,type,
sK158: $i > $i ).
thf(func_def_220,type,
sK159: $i > $i > $i > $i ).
thf(func_def_221,type,
sK160: $i > $i > $i ).
thf(func_def_222,type,
sK161: $i > $i > $i > $i ).
thf(func_def_223,type,
sK162: $i > $i > $i > $i ).
thf(func_def_224,type,
sK163: $i > $i > $i ).
thf(func_def_225,type,
sK164: $i > $i > $i > $i ).
thf(func_def_226,type,
sK165: $i > $i > $i > $i ).
thf(func_def_227,type,
sK166: $i > $i > $i ).
thf(func_def_228,type,
sK167: $i > $i > $i > $i ).
thf(func_def_229,type,
sK168: $i > $i > $i > $i ).
thf(func_def_230,type,
sK169: $i > $i > $i ).
thf(func_def_231,type,
sK170: $i > $i > $i > $i ).
thf(func_def_232,type,
sK171: $i > $i > $i > $i ).
thf(func_def_233,type,
sK172: $i > $i > $i ).
thf(func_def_234,type,
sK173: $i > $i > $i > $i ).
thf(func_def_235,type,
sK174: $i > $i > $i > $i ).
thf(func_def_236,type,
sK175: $i > $i > $i ).
thf(func_def_237,type,
sK176: $i > $i > $i > $i ).
thf(func_def_238,type,
sK177: $i > $i > $i > $i ).
thf(func_def_239,type,
sK178: $i > $i > $i ).
thf(func_def_240,type,
sK179: $i > $i > $i > $i ).
thf(func_def_241,type,
sK180: $i > $i > $i > $i ).
thf(func_def_242,type,
sK181: $i > $i > $i ).
thf(func_def_243,type,
sK182: $i > $i > $i > $i ).
thf(func_def_244,type,
sK183: $i > $i > $i > $i ).
thf(func_def_245,type,
sK184: $i > $i > $i ).
thf(func_def_246,type,
sK185: $i > $i > $i > $i ).
thf(func_def_247,type,
sK186: $i > $i > $i > $i ).
thf(func_def_248,type,
sK187: $i > $i > $i ).
thf(func_def_249,type,
sK188: $i > $i > $i > $i ).
thf(func_def_250,type,
sK189: $i > $i > $i > $i ).
thf(func_def_251,type,
sK190: $i > $i > $i ).
thf(func_def_252,type,
sK191: $i > $i > $i > $i ).
thf(func_def_253,type,
sK192: $i > $i > $i > $i ).
thf(func_def_254,type,
sK193: $i > $i > $i ).
thf(func_def_255,type,
sK194: $i > $i > $i > $i ).
thf(func_def_256,type,
sK195: $i > $i > $i > $i ).
thf(func_def_257,type,
sK196: $i > $i > $i ).
thf(func_def_258,type,
sK197: $i > $i > $i > $i ).
thf(func_def_259,type,
sK198: $i > $i > $i > $i ).
thf(func_def_260,type,
sK199: $i > $i > $i ).
thf(func_def_261,type,
sK200: $i > $i > $i > $i ).
thf(func_def_262,type,
sK201: $i > $i > $i > $i ).
thf(func_def_263,type,
sK202: $i > $i > $i ).
thf(func_def_264,type,
sK203: $i > $i > $i > $i ).
thf(func_def_265,type,
sK204: $i > $i > $i > $i ).
thf(func_def_266,type,
sK205: $i > $i > $i ).
thf(func_def_267,type,
sK206: $i > $i > $i > $i ).
thf(func_def_268,type,
sK207: $i > $i ).
thf(func_def_269,type,
sK208: $i > $i > $i > $i ).
thf(func_def_270,type,
sK209: $i > $i > $i ).
thf(func_def_271,type,
sK210: $i > $i > $i > $i ).
thf(func_def_272,type,
sK211: $i > $i > $i ).
thf(func_def_273,type,
sK212: $i > $i > $i > $i ).
thf(func_def_274,type,
sK213: $i > $i > $i > $i ).
thf(func_def_275,type,
sK214: $i > $i > $i ).
thf(func_def_276,type,
sK215: $i > $i > $i > $i ).
thf(func_def_277,type,
sK216: $i > $i > $i ).
thf(func_def_278,type,
sK217: $i > $i > $i > $i ).
thf(func_def_279,type,
sK218: $i > $i > $i > $i ).
thf(func_def_280,type,
sK219: $i > $i > $i ).
thf(func_def_281,type,
sK220: $i > $i > $i > $i ).
thf(func_def_282,type,
sK221: $i > $i > $i ).
thf(func_def_283,type,
sK222: $i > $i > $i > $i ).
thf(func_def_284,type,
sK223: $i > $i > $i > $i ).
thf(func_def_285,type,
sK224: $i > $i > $i ).
thf(func_def_286,type,
sK225: $i > $i > $i > $i ).
thf(func_def_287,type,
sK226: $i > $i > $i ).
thf(func_def_288,type,
sK227: $i > $i > $i > $i ).
thf(func_def_289,type,
sK228: $i > $i > $i > $i ).
thf(func_def_290,type,
sK229: $i > $i > $i ).
thf(func_def_291,type,
sK230: $i > $i > $i > $i ).
thf(func_def_292,type,
sK231: $i > $i > $i ).
thf(func_def_293,type,
sK232: $i > $i > $i > $i ).
thf(func_def_294,type,
sK233: $i > $i > $i > $i ).
thf(func_def_295,type,
sK234: $i > $i > $i ).
thf(func_def_296,type,
sK235: $i > $i > $i > $i ).
thf(func_def_297,type,
sK236: $i > $i > $i ).
thf(func_def_298,type,
sK237: $i > $i > $i > $i ).
thf(func_def_299,type,
sK238: $i > $i > $i > $i ).
thf(func_def_300,type,
sK239: $i > $i > $i ).
thf(func_def_301,type,
sK240: $i > $i > $i > $i ).
thf(func_def_302,type,
sK241: $i > $i > $i ).
thf(func_def_303,type,
sK242: $i > $i > $i > $i ).
thf(func_def_304,type,
sK243: $i > $i > $i > $i ).
thf(func_def_305,type,
sK244: $i > $i > $i ).
thf(func_def_306,type,
sK245: $i > $i > $i > $i ).
thf(func_def_307,type,
sK246: $i > $i > $i ).
thf(func_def_308,type,
sK247: $i > $i > $i > $i ).
thf(func_def_309,type,
sK248: $i > $i ).
thf(func_def_310,type,
sK249: $i > $i > $i > $i ).
thf(func_def_311,type,
sK250: $i > $i > $i ).
thf(func_def_312,type,
sK251: $i > $i > $i > $i ).
thf(func_def_313,type,
sK252: $i > $i > $i ).
thf(func_def_314,type,
sK253: $i > $i > $i > $i ).
thf(func_def_315,type,
sK254: $i > $i > $i > $i ).
thf(func_def_316,type,
sK255: $i > $i > $i ).
thf(func_def_317,type,
sK256: $i > $i > $i > $i ).
thf(func_def_318,type,
sK257: $i > $i > $i ).
thf(func_def_319,type,
sK258: $i > $i > $i > $i ).
thf(func_def_320,type,
sK259: $i > $i > $i > $i ).
thf(func_def_321,type,
sK260: $i > $i > $i ).
thf(func_def_322,type,
sK261: $i > $i > $i > $i ).
thf(func_def_323,type,
sK262: $i > $i > $i ).
thf(func_def_324,type,
sK263: $i > $i > $i > $i ).
thf(func_def_325,type,
sK264: $i > $i > $i > $i ).
thf(func_def_326,type,
sK265: $i > $i > $i ).
thf(func_def_327,type,
sK266: $i > $i > $i > $i ).
thf(func_def_328,type,
sK267: $i > $i > $i ).
thf(func_def_329,type,
sK268: $i > $i > $i > $i ).
thf(func_def_330,type,
sK269: $i > $i > $i > $i ).
thf(func_def_331,type,
sK270: $i > $i > $i ).
thf(func_def_332,type,
sK271: $i > $i > $i > $i ).
thf(func_def_333,type,
sK272: $i > $i > $i ).
thf(func_def_334,type,
sK273: $i > $i > $i > $i ).
thf(func_def_335,type,
sK274: $i > $i > $i > $i ).
thf(func_def_336,type,
sK275: $i > $i > $i ).
thf(func_def_337,type,
sK276: $i > $i > $i > $i ).
thf(func_def_338,type,
sK277: $i > $i > $i ).
thf(func_def_339,type,
sK278: $i > $i > $i > $i ).
thf(func_def_340,type,
sK279: $i > $i > $i > $i ).
thf(func_def_341,type,
sK280: $i > $i > $i ).
thf(func_def_342,type,
sK281: $i > $i > $i > $i ).
thf(func_def_343,type,
sK282: $i > $i > $i ).
thf(func_def_344,type,
sK283: $i > $i > $i > $i ).
thf(func_def_345,type,
sK284: $i > $i > $i > $i ).
thf(func_def_346,type,
sK285: $i > $i > $i ).
thf(func_def_347,type,
sK286: $i > $i > $i > $i ).
thf(func_def_348,type,
sK287: $i > $i > $i ).
thf(func_def_349,type,
sK288: $i > $i > $i > $i ).
thf(func_def_350,type,
sK289: $i > $i ).
thf(func_def_351,type,
sK290: $i > $i > $i > $i ).
thf(func_def_352,type,
sK291: $i > $i > $i ).
thf(func_def_353,type,
sK292: $i > $i > $i ).
thf(func_def_354,type,
sK293: $i > $i > $i ).
thf(func_def_355,type,
sK294: $i > $o ).
thf(func_def_357,type,
sK296: ( $i > $o ) > $i > $i ).
thf(func_def_359,type,
sK298: $i > $o ).
thf(func_def_362,type,
sK301: $i > $o ).
thf(func_def_365,type,
sK304: $i > $o ).
thf(func_def_367,type,
sK306: $i > $o ).
thf(func_def_369,type,
sK308: $i > $i ).
thf(func_def_370,type,
sK309: ( $i > $o ) > $i ).
thf(func_def_371,type,
sK310: ( $i > $o ) > $i > $i ).
thf(func_def_373,type,
sK312: $o ).
thf(func_def_374,type,
sK313: $o ).
thf(func_def_377,type,
sK316: $i > $o ).
thf(func_def_379,type,
sK318: ( $i > $o ) > $i ).
thf(func_def_380,type,
sK319: ( $i > $o ) > $i > $i ).
thf(func_def_383,type,
sK322: $i > $i > $i ).
thf(func_def_384,type,
sK323: $i > $i > $i ).
thf(func_def_386,type,
sK325: $i > $i ).
thf(func_def_388,type,
sK327: $i > $o ).
thf(func_def_391,type,
sK330: $i > $i ).
thf(func_def_393,type,
sK332: $i > $o ).
thf(func_def_405,type,
sK344: $o ).
thf(f2,axiom,
( setextAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx) ).
thf(f14,axiom,
( dsetconstrI
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(f15,axiom,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(f37,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [X1: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq) ).
thf(f38,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [X1: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
thf(f41,plain,
( setextAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f42,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f63,plain,
( dsetconstrI
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f64,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f65,plain,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f66,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f106,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [X1: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f38]) ).
thf(f107,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f108,plain,
( ? [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
!= X0 )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f107]) ).
thf(f109,plain,
( ? [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
!= X0 )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(flattening,[],[f108]) ).
thf(f110,plain,
( ( sK0
!= ( dsetconstr @ sK0
@ ^ [Y0: $i] : $true ) )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f109]) ).
thf(f112,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f124,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f125,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f147,plain,
setextAx = $true,
inference(cnf_transformation,[],[f110]) ).
thf(f159,plain,
dsetconstrI = $true,
inference(cnf_transformation,[],[f110]) ).
thf(f160,plain,
dsetconstrEL = $true,
inference(cnf_transformation,[],[f110]) ).
thf(f180,plain,
( sK0
!= ( dsetconstr @ sK0
@ ^ [Y0: $i] : $true ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f183,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f112,f147]) ).
thf(f195,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f124,f159]) ).
thf(f196,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f125,f160]) ).
thf(f216,definition,
( sF1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f217,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) )
= sF1 ),
inference(reorient_equations,[],[f216]) ).
thf(f218,plain,
$true = sF1,
inference(definition_folding,[],[f183,f217]) ).
thf(f252,definition,
( sF13
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
thf(f253,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
= sF13 ),
inference(reorient_equations,[],[f252]) ).
thf(f254,plain,
$true = sF13,
inference(definition_folding,[],[f195,f253]) ).
thf(f255,definition,
( sF14
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
thf(f256,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= sF14 ),
inference(reorient_equations,[],[f255]) ).
thf(f257,plain,
$true = sF14,
inference(definition_folding,[],[f196,f256]) ).
thf(f317,definition,
( sF35
= ( dsetconstr @ sK0
@ ^ [Y0: $i] : $true ) ),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
thf(f318,plain,
( ( dsetconstr @ sK0
@ ^ [Y0: $i] : $true )
= sF35 ),
inference(reorient_equations,[],[f317]) ).
thf(f319,plain,
sK0 != sF35,
inference(definition_folding,[],[f180,f318]) ).
thf(f320,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true )
| ( $false = sF1 ) ),
inference(iff_proxy_clausification,[],[f217]) ).
thf(f334,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) )
| ( $false = sF1 ) ),
inference(pi_proxy_clausification,[],[f320]) ).
thf(f335,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
= ( in @ Y1 @ X1 ) ) )
=> ( Y0 = X1 ) ) ) )
| ( $false = sF1 ) ),
inference(beta-eta_normalization,[],[f334]) ).
thf(f336,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
= ( in @ Y1 @ X1 ) ) )
=> ( Y0 = X1 ) )
@ X2 ) )
| ( $false = sF1 ) ),
inference(pi_proxy_clausification,[],[f335]) ).
thf(f337,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) ) )
=> ( X2 = X1 ) ) )
| ( $false = sF1 ) ),
inference(beta-eta_normalization,[],[f336]) ).
thf(f338,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) ) ) )
| ( $false = sF1 )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f337]) ).
thf(f339,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) )
@ ( sK38 @ X1 @ X2 ) ) )
| ( $false = sF1 )
| ( $true
= ( X2 = X1 ) ) ),
inference(sigma_proxy_clausification,[],[f338]) ).
thf(f340,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) )
@ ( sK38 @ X1 @ X2 ) ) )
| ( $false = sF1 )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f339]) ).
thf(f341,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK38 @ X1 @ X2 ) @ X2 )
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) ) )
| ( $false = sF1 )
| ( X1 = X2 ) ),
inference(beta-eta_normalization,[],[f340]) ).
thf(f342,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK38 @ X1 @ X2 ) @ X2 )
!= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) )
| ( $false = sF1 )
| ( X1 = X2 ) ),
inference(iff_proxy_clausification,[],[f341]) ).
thf(f343,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF1 )
| ( X1 = X2 )
| ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) ) ),
inference(xor_proxy_clausification,[],[f342]) ).
thf(f344,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( $false = sF1 )
| ( X1 = X2 )
| ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) ) ),
inference(xor_proxy_clausification,[],[f342]) ).
thf(f3619,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $true )
| ( $false = sF13 ) ),
inference(iff_proxy_clausification,[],[f253]) ).
thf(f3631,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) )
@ X1 ) )
| ( $false = sF13 ) ),
inference(pi_proxy_clausification,[],[f3619]) ).
thf(f3632,plain,
! [X1: $i] :
( ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( ( Y0 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) ) ) )
| ( $false = sF13 ) ),
inference(beta-eta_normalization,[],[f3631]) ).
thf(f3633,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( ( Y0 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) )
@ X2 ) )
| ( $false = sF13 ) ),
inference(pi_proxy_clausification,[],[f3632]) ).
thf(f3634,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) ) ) )
| ( $false = sF13 ) ),
inference(beta-eta_normalization,[],[f3633]) ).
thf(f3635,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) )
@ X3 ) )
| ( $false = sF13 ) ),
inference(pi_proxy_clausification,[],[f3634]) ).
thf(f3636,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ X3 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) )
| ( $false = sF13 ) ),
inference(beta-eta_normalization,[],[f3635]) ).
thf(f3637,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ X3 ) )
| ( $false = sF13 )
| ( $true
= ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f3636]) ).
thf(f3638,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ X3 ) )
| ( $false = sF13 )
| ( $false
= ( X2 @ X1 ) )
| ( $true
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f3637]) ).
thf(f3639,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true )
| ( $false = sF14 ) ),
inference(iff_proxy_clausification,[],[f256]) ).
thf(f3649,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) )
| ( $false = sF14 ) ),
inference(pi_proxy_clausification,[],[f3639]) ).
thf(f3650,plain,
! [X1: $i] :
( ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) ) ) )
| ( $false = sF14 ) ),
inference(beta-eta_normalization,[],[f3649]) ).
thf(f3651,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) )
| ( $false = sF14 ) ),
inference(pi_proxy_clausification,[],[f3650]) ).
thf(f3652,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) ) ) )
| ( $false = sF14 ) ),
inference(beta-eta_normalization,[],[f3651]) ).
thf(f3653,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) )
| ( $false = sF14 ) ),
inference(pi_proxy_clausification,[],[f3652]) ).
thf(f3654,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) )
=> ( in @ X1 @ X3 ) ) )
| ( $false = sF14 ) ),
inference(beta-eta_normalization,[],[f3653]) ).
thf(f3655,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $false = sF14 )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f3654]) ).
thf(f4004,plain,
! [X2: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( X1 = X2 )
| ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) ) ),
inference(forward_demodulation,[],[f344,f218]) ).
thf(f4005,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f4004]) ).
thf(f4006,plain,
! [X2: $i,X1: $i] :
( ( $false = $true )
| ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( X1 = X2 )
| ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) ) ),
inference(forward_demodulation,[],[f343,f218]) ).
thf(f4007,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ ( sK38 @ X1 @ X2 ) @ X1 ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f4006]) ).
thf(f4090,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( in @ X1 @ X3 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $true
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ),
inference(forward_demodulation,[],[f3638,f254]) ).
thf(f4091,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X1 ) )
| ( $false
= ( in @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f4090]) ).
thf(f4092,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(forward_demodulation,[],[f3655,f257]) ).
thf(f4093,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f4092]) ).
thf(f4196,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF35 ) )
| ( $true
= ( in @ X0 @ sK0 ) ) ),
inference(constrained_superposition,[],[f4093,f318]) ).
thf(f4218,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF35 ) )
| ( $false
= ( ^ [Y0: $i] : $true
@ X0 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(constrained_superposition,[],[f4091,f318]) ).
thf(f4239,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF35 ) )
| ( $false = $true )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f4218]) ).
thf(f4240,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF35 ) )
| ( $false
= ( in @ X0 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f4239]) ).
thf(f5387,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( in @ ( sK38 @ sF35 @ X0 ) @ sK0 ) )
| ( $false
= ( in @ ( sK38 @ sF35 @ X0 ) @ X0 ) )
| ( sF35 = X0 ) ),
inference(constrained_superposition,[],[f4240,f4005]) ).
thf(f5402,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK38 @ sF35 @ X0 ) @ sK0 ) )
| ( $false
= ( in @ ( sK38 @ sF35 @ X0 ) @ X0 ) )
| ( sF35 = X0 ) ),
inference(trivial_inequality_removal,[],[f5387]) ).
thf(f5612,plain,
! [X0: $i] :
( ( $false = $true )
| ( $true
= ( in @ ( sK38 @ sF35 @ X0 ) @ sK0 ) )
| ( $true
= ( in @ ( sK38 @ sF35 @ X0 ) @ X0 ) )
| ( sF35 = X0 ) ),
inference(constrained_superposition,[],[f4196,f4007]) ).
thf(f5618,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK38 @ sF35 @ X0 ) @ sK0 ) )
| ( $true
= ( in @ ( sK38 @ sF35 @ X0 ) @ X0 ) )
| ( sF35 = X0 ) ),
inference(trivial_inequality_removal,[],[f5612]) ).
thf(f17949,plain,
( ( $false != $false )
| ( $false
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) )
| ( sK0 = sF35 ) ),
inference(equality_factoring,[],[f5402]) ).
thf(f17950,plain,
( ( $false
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) )
| ( sK0 = sF35 ) ),
inference(trivial_inequality_removal,[],[f17949]) ).
thf(f18055,plain,
( $false
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) ),
inference(forward_subsumption_resolution,[],[f17950,f319]) ).
thf(f18380,plain,
( ( $true != $true )
| ( $true
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) )
| ( sK0 = sF35 ) ),
inference(equality_factoring,[],[f5618]) ).
thf(f18381,plain,
( ( $true
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) )
| ( sK0 = sF35 ) ),
inference(trivial_inequality_removal,[],[f18380]) ).
thf(f18545,plain,
( $true
= ( in @ ( sK38 @ sF35 @ sK0 ) @ sK0 ) ),
inference(forward_subsumption_resolution,[],[f18381,f319]) ).
thf(f18554,plain,
$false = $true,
inference(forward_demodulation,[],[f18545,f18055]) ).
thf(f18555,plain,
$false,
inference(trivial_inequality_removal,[],[f18554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU517^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:45:41 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/0.97 % (3383817)Will run a generic schedule for satisfiability detection.
% 3.92/0.97 % (3383826)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4138873266:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.92/0.97 % (3383826)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.92/0.97 % (3383823)% WARNING: option uhcvi not known.
% 3.92/0.97 % (3383822)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2334840138_2999 on theBenchmark for (2999ds/0Mi)
% 3.92/0.97 % (3383823)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3268728500:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.92/0.97 % (3383827)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1288827162:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.92/0.97 % (3383824)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4193720131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.92/0.97 % (3383825)dis+10_1_sil=32000:sp=arity:random_seed=4142240774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.92/0.97 % (3383828)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3050658669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.92/0.97 % (3383823)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.92/0.97 % Exception at run slice level
% 3.92/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.92/0.97 % (3383823)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.92/0.97 % (3383826)Instruction limit reached!
% 3.92/0.97 % (3383826)------------------------------
% 3.92/0.97 % (3383826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.92/0.97 % (3383826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/0.97 % (3383826)CaDiCaL version: 2.1.3
% 3.92/0.97 % (3383826)Termination reason: Instruction limit
% 3.92/0.97 % (3383826)Termination phase: Saturation
% 3.92/0.97 % (3383826)Time elapsed: 0.030 s
% 3.92/0.97 % (3383826)Peak memory usage: 13 MB
% 3.92/0.97 % (3383826)Instructions burned: 119 (million)
% 3.92/0.97 % (3383836)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3934749269:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.92/0.97 % Exception at run slice level
% 3.92/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.92/0.97 % (3383837)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1485227823:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.92/0.97 % (3383825)Instruction limit reached!
% 3.92/0.97 % (3383825)------------------------------
% 3.92/0.97 % (3383825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.92/0.97 % (3383825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/0.97 % (3383825)CaDiCaL version: 2.1.3
% 3.92/0.97 % (3383825)Termination reason: Instruction limit
% 3.92/0.97 % (3383825)Termination phase: Saturation
% 3.92/0.97 % (3383825)Time elapsed: 0.051 s
% 3.92/0.97 % (3383825)Peak memory usage: 12 MB
% 3.92/0.97 % (3383825)Instructions burned: 105 (million)
% 3.92/0.97 % (3383839)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=3964155634:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.92/0.97 % (3383839)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.92/0.97 % (3383839)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.92/0.97 % (3383827)Instruction limit reached!
% 3.92/0.97 % (3383827)------------------------------
% 3.92/0.97 % (3383827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.92/0.97 % (3383827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/0.97 % (3383827)CaDiCaL version: 2.1.3
% 3.92/0.97 % (3383827)Termination reason: Instruction limit
% 3.92/0.97 % (3383827)Termination phase: Saturation
% 3.92/0.97 % (3383827)Time elapsed: 0.064 s
% 3.92/0.97 % (3383827)Peak memory usage: 13 MB
% 3.92/0.97 % (3383827)Instructions burned: 132 (million)
% 3.92/0.97 % (3383837)Instruction limit reached!
% 3.92/0.97 % (3383837)------------------------------
% 3.92/0.97 % (3383837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383837)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383837)Termination reason: Instruction limit
% 9.04/1.79 % (3383837)Termination phase: Saturation
% 9.04/1.79 % (3383837)Time elapsed: 0.036 s
% 9.04/1.79 % (3383837)Peak memory usage: 13 MB
% 9.04/1.79 % (3383837)Instructions burned: 134 (million)
% 9.04/1.79 % (3383842)ott-21_1_sil=16000:fs=off:random_seed=2633310706:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 9.04/1.79 % (3383828)Instruction limit reached!
% 9.04/1.79 % (3383828)------------------------------
% 9.04/1.79 % (3383828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383828)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383828)Termination reason: Instruction limit
% 9.04/1.79 % (3383828)Termination phase: Saturation
% 9.04/1.79 % (3383828)Time elapsed: 0.080 s
% 9.04/1.79 % (3383828)Peak memory usage: 13 MB
% 9.04/1.79 % (3383828)Instructions burned: 160 (million)
% 9.04/1.79 % (3383854)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1002364303:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 9.04/1.79 % (3383848)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1836875703:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3383864)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2403098569:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 9.04/1.79 % (3383858)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1929600048:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3383873)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=527906735:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 9.04/1.79 % (3383873)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.04/1.79 % (3383842)Instruction limit reached!
% 9.04/1.79 % (3383842)------------------------------
% 9.04/1.79 % (3383842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383842)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383842)Termination reason: Instruction limit
% 9.04/1.79 % (3383842)Termination phase: Saturation
% 9.04/1.79 % (3383842)Time elapsed: 0.083 s
% 9.04/1.79 % (3383842)Peak memory usage: 12 MB
% 9.04/1.79 % (3383842)Instructions burned: 181 (million)
% 9.04/1.79 % (3383896)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1269562020:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 9.04/1.79 % (3383896)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.04/1.79 % (3383873)Instruction limit reached!
% 9.04/1.79 % (3383873)------------------------------
% 9.04/1.79 % (3383873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383873)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383873)Termination reason: Instruction limit
% 9.04/1.79 % (3383873)Termination phase: Saturation
% 9.04/1.79 % (3383873)Time elapsed: 0.193 s
% 9.04/1.79 % (3383873)Peak memory usage: 14 MB
% 9.04/1.79 % (3383873)Instructions burned: 696 (million)
% 9.04/1.79 % (3383848)Instruction limit reached!
% 9.04/1.79 % (3383848)------------------------------
% 9.04/1.79 % (3383848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383848)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383848)Termination reason: Instruction limit
% 9.04/1.79 % (3383848)Termination phase: Saturation
% 9.04/1.79 % (3383848)Time elapsed: 0.241 s
% 9.04/1.79 % (3383848)Peak memory usage: 14 MB
% 9.04/1.79 % (3383848)Instructions burned: 478 (million)
% 9.04/1.79 % (3383954)fmb+10_1_sil=64000:random_seed=1688547891:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 9.04/1.79 % (3383954)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3383962)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=714769:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3383969)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2615401553:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3383972)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3097568680:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 9.04/1.79 % (3383839)Instruction limit reached!
% 9.04/1.79 % (3383839)------------------------------
% 9.04/1.79 % (3383839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383839)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383839)Termination reason: Instruction limit
% 9.04/1.79 % (3383839)Termination phase: Saturation
% 9.04/1.79 % (3383839)Time elapsed: 0.319 s
% 9.04/1.79 % (3383839)Peak memory usage: 15 MB
% 9.04/1.79 % (3383839)Instructions burned: 686 (million)
% 9.04/1.79 % (3383976)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4217384068:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 9.04/1.79 % (3383972)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.04/1.79 % (3383976)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.04/1.79 % (3383976)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.04/1.79 % (3383986)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3896433416:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3384005)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3380920336:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.79 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.79 % (3384018)ott-2_1_sil=16000:newcnf=on:random_seed=557045713:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 9.04/1.79 % (3384018)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.04/1.79 % (3383896)Instruction limit reached!
% 9.04/1.79 % (3383896)------------------------------
% 9.04/1.79 % (3383896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383896)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383896)Termination reason: Instruction limit
% 9.04/1.79 % (3383896)Termination phase: Saturation
% 9.04/1.79 % (3383896)Time elapsed: 0.436 s
% 9.04/1.79 % (3383896)Peak memory usage: 16 MB
% 9.04/1.79 % (3383896)Instructions burned: 880 (million)
% 9.04/1.79 % (3384024)ott+10_1_sil=32000:tgt=ground:random_seed=3567980803:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 9.04/1.79 % (3383858)Instruction limit reached!
% 9.04/1.79 % (3383858)------------------------------
% 9.04/1.79 % (3383858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.79 % (3383858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.79 % (3383858)CaDiCaL version: 2.1.3
% 9.04/1.79 % (3383858)Termination reason: Instruction limit
% 9.04/1.79 % (3383858)Termination phase: Saturation
% 9.04/1.79 % (3383858)Time elapsed: 0.558 s
% 9.04/1.79 % (3383858)Peak memory usage: 17 MB
% 9.04/1.79 % (3383858)Instructions burned: 1179 (million)
% 9.04/1.79 % (3384026)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3829376316:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 9.04/1.79 % Exception at run slice level
% 9.04/1.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.04/1.80 % (3384028)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2955099877:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 9.04/1.80 % (3384028)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.04/1.80 % (3383976)Instruction limit reached!
% 9.04/1.80 % (3383976)------------------------------
% 9.04/1.80 % (3383976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.80 % (3383976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.80 % (3383976)CaDiCaL version: 2.1.3
% 9.04/1.80 % (3383976)Termination reason: Instruction limit
% 9.04/1.80 % (3383976)Termination phase: Saturation
% 9.04/1.80 % (3383976)Time elapsed: 0.380 s
% 9.04/1.80 % (3383976)Peak memory usage: 23 MB
% 9.04/1.80 % (3383976)Instructions burned: 1475 (million)
% 9.04/1.80 % (3384030)dis+21_1_sil=32000:sas=cadical:random_seed=3268044262:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 9.04/1.80 % (3384018)Instruction limit reached!
% 9.04/1.80 % (3384018)------------------------------
% 9.04/1.80 % (3384018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.80 % (3384018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.80 % (3384018)CaDiCaL version: 2.1.3
% 9.04/1.80 % (3384018)Termination reason: Instruction limit
% 9.04/1.80 % (3384018)Termination phase: Saturation
% 9.04/1.80 % (3384018)Time elapsed: 0.412 s
% 9.04/1.80 % (3384018)Peak memory usage: 16 MB
% 9.04/1.80 % (3384018)Instructions burned: 870 (million)
% 9.04/1.80 % (3384032)ott+11_1_sil=16000:gs=on:random_seed=2814640293:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 9.04/1.80 % (3384032)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.04/1.80 % (3384024) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3383817-3384024"...
% 9.04/1.80 % (3384024)...printing done.
% 9.04/1.80 % (3384024)Refutation found. Thanks to Tanya!
% 9.04/1.80 % SZS status Theorem for theBenchmark
% 9.04/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 11.06/1.80 % (3384024)------------------------------
% 11.06/1.80 % (3384024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.06/1.80 % (3384024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/1.80 % (3384024)CaDiCaL version: 2.1.3
% 11.06/1.80 % (3384024)Termination reason: Refutation
% 11.06/1.80 % (3384024)Time elapsed: 0.874 s
% 11.06/1.80 % (3384024)Peak memory usage: 19 MB
% 11.06/1.80 % (3384024)Instructions burned: 1885 (million)
% 11.06/1.80 % (3383817)Success in time 1.557 s
% 11.06/1.80 % Vampire exiting
%------------------------------------------------------------------------------