%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP195^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:46 AM UTC 2026
% Result : Theorem 0.50s 0.42s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 11 unt; 0 typ; 3 def)
% Number of atoms : 184 ( 62 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 318 ( 47 ~; 33 |; 14 &; 205 @)
% ( 4 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 270 ( 267 usr; 18 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
poly_poly_poly_real: $tType ).
thf(type_def_6,type,
poly_poly_real: $tType ).
thf(type_def_7,type,
poly_poly_nat: $tType ).
thf(type_def_8,type,
poly_poly_int: $tType ).
thf(type_def_9,type,
poly_real: $tType ).
thf(type_def_10,type,
poly_nat: $tType ).
thf(type_def_11,type,
poly_int: $tType ).
thf(type_def_12,type,
set_real: $tType ).
thf(type_def_13,type,
real: $tType ).
thf(type_def_14,type,
nat: $tType ).
thf(type_def_15,type,
int: $tType ).
thf(type_def_16,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
one_one_nat: nat ).
thf(func_def_1,type,
zero_zero_int: int ).
thf(func_def_2,type,
zero_zero_nat: nat ).
thf(func_def_3,type,
zero_zero_poly_int: poly_int ).
thf(func_def_4,type,
zero_zero_poly_nat: poly_nat ).
thf(func_def_5,type,
zero_z1549157189ly_int: poly_poly_int ).
thf(func_def_6,type,
zero_z1059985641ly_nat: poly_poly_nat ).
thf(func_def_7,type,
zero_z935034829y_real: poly_poly_poly_real ).
thf(func_def_8,type,
zero_z1423781445y_real: poly_poly_real ).
thf(func_def_9,type,
zero_zero_poly_real: poly_real ).
thf(func_def_10,type,
zero_zero_real: real ).
thf(func_def_11,type,
suc: nat > nat ).
thf(func_def_12,type,
ord_less_int: int > int > $o ).
thf(func_def_13,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_14,type,
ord_less_poly_int: poly_int > poly_int > $o ).
thf(func_def_15,type,
ord_le38482960y_real: poly_poly_real > poly_poly_real > $o ).
thf(func_def_16,type,
ord_less_poly_real: poly_real > poly_real > $o ).
thf(func_def_17,type,
ord_less_real: real > real > $o ).
thf(func_def_18,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_19,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_20,type,
ord_less_eq_poly_int: poly_int > poly_int > $o ).
thf(func_def_21,type,
ord_le893774876y_real: poly_poly_real > poly_poly_real > $o ).
thf(func_def_22,type,
ord_le1180086932y_real: poly_real > poly_real > $o ).
thf(func_def_23,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_24,type,
is_zero_int: poly_int > $o ).
thf(func_def_25,type,
is_zero_nat: poly_nat > $o ).
thf(func_def_26,type,
is_zero_poly_real: poly_poly_real > $o ).
thf(func_def_27,type,
is_zero_real: poly_real > $o ).
thf(func_def_28,type,
order_int: int > poly_int > nat ).
thf(func_def_29,type,
order_poly_int: poly_int > poly_poly_int > nat ).
thf(func_def_30,type,
order_poly_poly_real: poly_poly_real > poly_poly_poly_real > nat ).
thf(func_def_31,type,
order_poly_real: poly_real > poly_poly_real > nat ).
thf(func_def_32,type,
order_real: real > poly_real > nat ).
thf(func_def_33,type,
pderiv_int: poly_int > poly_int ).
thf(func_def_34,type,
pderiv_nat: poly_nat > poly_nat ).
thf(func_def_35,type,
pderiv_poly_real: poly_poly_real > poly_poly_real ).
thf(func_def_36,type,
pderiv_real: poly_real > poly_real ).
thf(func_def_37,type,
poly_int2: poly_int > int > int ).
thf(func_def_38,type,
poly_nat2: poly_nat > nat > nat ).
thf(func_def_39,type,
poly_poly_int2: poly_poly_int > poly_int > poly_int ).
thf(func_def_40,type,
poly_poly_nat2: poly_poly_nat > poly_nat > poly_nat ).
thf(func_def_41,type,
poly_poly_poly_real2: poly_poly_poly_real > poly_poly_real > poly_poly_real ).
thf(func_def_42,type,
poly_poly_real2: poly_poly_real > poly_real > poly_real ).
thf(func_def_43,type,
poly_real2: poly_real > real > real ).
thf(func_def_44,type,
poly_cutoff_int: nat > poly_int > poly_int ).
thf(func_def_45,type,
poly_cutoff_nat: nat > poly_nat > poly_nat ).
thf(func_def_46,type,
poly_c1404107022y_real: nat > poly_poly_real > poly_poly_real ).
thf(func_def_47,type,
poly_cutoff_real: nat > poly_real > poly_real ).
thf(func_def_48,type,
poly_shift_int: nat > poly_int > poly_int ).
thf(func_def_49,type,
poly_shift_nat: nat > poly_nat > poly_nat ).
thf(func_def_50,type,
poly_shift_poly_real: nat > poly_poly_real > poly_poly_real ).
thf(func_def_51,type,
poly_shift_real: nat > poly_real > poly_real ).
thf(func_def_52,type,
reflect_poly_int: poly_int > poly_int ).
thf(func_def_53,type,
reflect_poly_nat: poly_nat > poly_nat ).
thf(func_def_54,type,
reflec943087998ly_int: poly_poly_int > poly_poly_int ).
thf(func_def_55,type,
reflec781175074ly_nat: poly_poly_nat > poly_poly_nat ).
thf(func_def_56,type,
reflec144234502y_real: poly_poly_poly_real > poly_poly_poly_real ).
thf(func_def_57,type,
reflec1522834046y_real: poly_poly_real > poly_poly_real ).
thf(func_def_58,type,
reflect_poly_real: poly_real > poly_real ).
thf(func_def_59,type,
rsquarefree_real: poly_real > $o ).
thf(func_def_60,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_61,type,
sturm_1953858694_cross: poly_real > real > real > int ).
thf(func_def_62,type,
sturm_469514713_r_pos: poly_real > real > $o ).
thf(func_def_63,type,
sturm_1279781401iation: real > real > int ).
thf(func_def_64,type,
member_real: real > set_real > $o ).
thf(func_def_65,type,
p: poly_real ).
thf(func_def_66,type,
x: real ).
thf(func_def_70,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_71,type,
vAND: $o > $o > $o ).
thf(func_def_72,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_75,type,
vIMP: $o > $o > $o ).
thf(func_def_76,type,
vNOT: $o > $o ).
thf(func_def_77,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_79,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_80,type,
vOR: $o > $o > $o ).
thf(func_def_81,type,
sP0: real > real > real > $o ).
thf(func_def_82,type,
sP1: real > real > real > $o ).
thf(func_def_83,type,
sP2: nat > nat > nat > $o ).
thf(func_def_84,type,
sP3: nat > nat > nat > $o ).
thf(func_def_85,type,
sP4: int > int > int > $o ).
thf(func_def_86,type,
sP5: int > int > int > $o ).
thf(func_def_87,type,
sK6: ( int > nat ) > int ).
thf(func_def_88,type,
sK7: ( int > nat ) > int ).
thf(func_def_89,type,
sK8: nat > nat ).
thf(func_def_90,type,
sK9: ( int > real ) > int ).
thf(func_def_91,type,
sK10: ( int > real ) > int ).
thf(func_def_92,type,
sK11: poly_poly_poly_real > poly_poly_real ).
thf(func_def_93,type,
sK12: ( int > real ) > int ).
thf(func_def_94,type,
sK13: ( int > real ) > int ).
thf(func_def_95,type,
sK14: real > real ).
thf(func_def_96,type,
sK15: real > real > poly_real > real ).
thf(func_def_97,type,
sK16: ( nat > int ) > nat ).
thf(func_def_98,type,
sK17: ( nat > int ) > nat ).
thf(func_def_99,type,
sK18: ( real > real ) > real ).
thf(func_def_100,type,
sK19: ( real > real ) > real ).
thf(func_def_101,type,
sK20: ( nat > real ) > nat ).
thf(func_def_102,type,
sK21: ( nat > real ) > nat ).
thf(func_def_103,type,
sK22: ( nat > int ) > nat ).
thf(func_def_104,type,
sK23: ( nat > int ) > nat ).
thf(func_def_105,type,
sK24: ( real > nat ) > real ).
thf(func_def_106,type,
sK25: ( real > nat ) > real ).
thf(func_def_107,type,
sK26: poly_real > real > real > real ).
thf(func_def_108,type,
sK27: poly_real > real > real > real ).
thf(func_def_109,type,
sK28: poly_real > real > real > real ).
thf(func_def_110,type,
sK29: ( int > nat ) > int ).
thf(func_def_111,type,
sK30: ( int > nat ) > int ).
thf(func_def_112,type,
sK31: int > int ).
thf(func_def_113,type,
sK32: real > real ).
thf(func_def_114,type,
sK33: int > int ).
thf(func_def_115,type,
sK34: ( int > int ) > int ).
thf(func_def_116,type,
sK35: ( int > int ) > int ).
thf(func_def_117,type,
sK36: real > real > real ).
thf(func_def_118,type,
sK37: ( real > real > $o ) > real ).
thf(func_def_119,type,
sK38: ( real > real > $o ) > real ).
thf(func_def_120,type,
sK39: ( real > real > $o ) > real ).
thf(func_def_121,type,
sK40: ( real > real > $o ) > real ).
thf(func_def_122,type,
sK41: ( real > real > $o ) > real ).
thf(func_def_123,type,
sK42: ( real > real ) > real ).
thf(func_def_124,type,
sK43: ( real > real ) > real ).
thf(func_def_125,type,
sK44: ( nat > int ) > nat ).
thf(func_def_126,type,
sK45: ( nat > int ) > nat ).
thf(func_def_127,type,
sK46: ( nat > nat ) > nat ).
thf(func_def_128,type,
sK47: ( nat > nat ) > nat ).
thf(func_def_129,type,
sK48: ( int > int ) > int ).
thf(func_def_130,type,
sK49: ( int > int ) > int ).
thf(func_def_131,type,
sK50: ( real > nat ) > real ).
thf(func_def_132,type,
sK51: ( real > nat ) > real ).
thf(func_def_133,type,
sK52: ( nat > real ) > nat ).
thf(func_def_134,type,
sK53: ( nat > real ) > nat ).
thf(func_def_135,type,
sK54: nat > nat ).
thf(func_def_136,type,
sK55: set_real > real ).
thf(func_def_137,type,
sK56: real > set_real > real ).
thf(func_def_138,type,
sK57: real > set_real > real ).
thf(func_def_139,type,
sK58: ( nat > int ) > nat ).
thf(func_def_140,type,
sK59: ( nat > int ) > nat ).
thf(func_def_141,type,
sK60: ( nat > $o ) > nat > nat ).
thf(func_def_142,type,
sK61: ( real > nat ) > real ).
thf(func_def_143,type,
sK62: ( real > nat ) > real ).
thf(func_def_144,type,
sK63: ( real > int ) > real ).
thf(func_def_145,type,
sK64: ( real > int ) > real ).
thf(func_def_146,type,
sK65: ( real > real ) > real ).
thf(func_def_147,type,
sK66: ( real > real ) > real ).
thf(func_def_148,type,
sK67: real > poly_real > real ).
thf(func_def_149,type,
sK68: real > real > poly_real > real ).
thf(func_def_150,type,
sK69: ( nat > nat ) > nat ).
thf(func_def_151,type,
sK70: ( nat > nat ) > nat ).
thf(func_def_152,type,
sK71: nat > nat ).
thf(func_def_153,type,
sK72: ( nat > nat ) > nat ).
thf(func_def_154,type,
sK73: ( nat > nat ) > nat ).
thf(func_def_155,type,
sK74: ( nat > nat > $o ) > nat ).
thf(func_def_156,type,
sK75: ( nat > nat > $o ) > nat ).
thf(func_def_157,type,
sK76: ( nat > nat > $o ) > nat ).
thf(func_def_158,type,
sK77: ( nat > nat > $o ) > nat ).
thf(func_def_159,type,
sK78: ( nat > nat > $o ) > nat ).
thf(func_def_160,type,
sK79: ( real > nat ) > real ).
thf(func_def_161,type,
sK80: ( real > nat ) > real ).
thf(func_def_162,type,
sK81: ( nat > nat ) > nat ).
thf(func_def_163,type,
sK82: ( nat > nat ) > nat ).
thf(func_def_164,type,
sK83: ( int > nat ) > int ).
thf(func_def_165,type,
sK84: ( int > nat ) > int ).
thf(func_def_166,type,
sK85: ( real > real ) > real ).
thf(func_def_167,type,
sK86: ( real > real ) > real ).
thf(func_def_168,type,
sK87: ( real > nat ) > real ).
thf(func_def_169,type,
sK88: ( real > nat ) > real ).
thf(func_def_170,type,
sK89: ( nat > real ) > nat ).
thf(func_def_171,type,
sK90: ( nat > real ) > nat ).
thf(func_def_172,type,
sK91: nat > nat ).
thf(func_def_173,type,
sK92: ( nat > nat ) > nat ).
thf(func_def_174,type,
sK93: ( nat > nat ) > nat ).
thf(func_def_175,type,
sK94: ( int > real ) > int ).
thf(func_def_176,type,
sK95: ( int > real ) > int ).
thf(func_def_177,type,
sK96: ( real > nat ) > real ).
thf(func_def_178,type,
sK97: ( real > nat ) > real ).
thf(func_def_179,type,
sK98: ( int > real ) > int ).
thf(func_def_180,type,
sK99: ( int > real ) > int ).
thf(func_def_181,type,
sK100: ( int > nat ) > int ).
thf(func_def_182,type,
sK101: ( int > nat ) > int ).
thf(func_def_183,type,
sK102: ( nat > nat > $o ) > nat ).
thf(func_def_184,type,
sK103: ( nat > nat > $o ) > nat ).
thf(func_def_185,type,
sK104: ( nat > nat > $o ) > nat ).
thf(func_def_186,type,
sK105: ( nat > nat > $o ) > nat ).
thf(func_def_187,type,
sK106: ( nat > nat > $o ) > nat ).
thf(func_def_188,type,
sK107: ( nat > nat > $o ) > nat ).
thf(func_def_189,type,
sK108: ( nat > nat > $o ) > nat ).
thf(func_def_190,type,
sK109: ( nat > nat > $o ) > nat ).
thf(func_def_191,type,
sK110: ( nat > nat > $o ) > nat ).
thf(func_def_192,type,
sK111: poly_real > real > real ).
thf(func_def_193,type,
sK112: ( real > nat ) > real ).
thf(func_def_194,type,
sK113: ( real > nat ) > real ).
thf(func_def_195,type,
sK114: ( nat > $o ) > nat ).
thf(func_def_196,type,
sK115: real > real > poly_real > real ).
thf(func_def_197,type,
sK116: real > real > poly_real > real ).
thf(func_def_198,type,
sK117: real > real > poly_real > real ).
thf(func_def_199,type,
sK118: ( real > real > $o ) > real ).
thf(func_def_200,type,
sK119: ( real > real > $o ) > real ).
thf(func_def_201,type,
sK120: ( real > real > $o ) > real ).
thf(func_def_202,type,
sK121: ( real > real > $o ) > real ).
thf(func_def_203,type,
sK122: ( real > int ) > real ).
thf(func_def_204,type,
sK123: ( real > int ) > real ).
thf(func_def_205,type,
sK124: real > real > poly_real > real ).
thf(func_def_206,type,
sK125: int > int ).
thf(func_def_207,type,
sK126: real > real ).
thf(func_def_208,type,
sK127: ( nat > nat ) > nat ).
thf(func_def_209,type,
sK128: ( nat > nat ) > nat ).
thf(func_def_210,type,
sK129: real > real ).
thf(func_def_211,type,
sK130: int > int ).
thf(func_def_212,type,
sK131: ( nat > real ) > nat ).
thf(func_def_213,type,
sK132: ( nat > real ) > nat ).
thf(func_def_214,type,
sK133: nat > ( nat > $o ) > nat ).
thf(func_def_215,type,
sK134: ( nat > $o ) > nat ).
thf(func_def_216,type,
sK135: ( real > real ) > real ).
thf(func_def_217,type,
sK136: ( real > real ) > real ).
thf(func_def_218,type,
sK137: ( nat > $o ) > nat ).
thf(func_def_219,type,
sK138: poly_poly_real > poly_real ).
thf(func_def_220,type,
sK139: ( nat > $o ) > nat ).
thf(func_def_221,type,
sK140: ( nat > $o ) > nat ).
thf(func_def_222,type,
sK141: ( int > int > $o ) > int ).
thf(func_def_223,type,
sK142: ( int > int > $o ) > int ).
thf(func_def_224,type,
sK143: ( int > int > $o ) > int ).
thf(func_def_225,type,
sK144: ( int > int > $o ) > int ).
thf(func_def_226,type,
sK145: real > real ).
thf(func_def_227,type,
sK146: poly_real > real ).
thf(func_def_228,type,
sK147: ( nat > $o ) > nat > nat ).
thf(func_def_229,type,
sK148: real > real ).
thf(func_def_230,type,
sK149: ( nat > real ) > nat ).
thf(func_def_231,type,
sK150: ( nat > real ) > nat ).
thf(func_def_232,type,
sK151: ( real > nat ) > real ).
thf(func_def_233,type,
sK152: ( real > nat ) > real ).
thf(func_def_234,type,
sK153: ( nat > nat ) > nat ).
thf(func_def_235,type,
sK154: ( nat > nat ) > nat ).
thf(func_def_236,type,
sK155: ( nat > real ) > nat ).
thf(func_def_237,type,
sK156: ( nat > real ) > nat ).
thf(func_def_238,type,
sK157: ( nat > $o ) > nat ).
thf(func_def_239,type,
sK158: nat > nat ).
thf(func_def_240,type,
sK159: ( real > real ) > real ).
thf(func_def_241,type,
sK160: ( real > real ) > real ).
thf(func_def_242,type,
sK161: ( real > int ) > real ).
thf(func_def_243,type,
sK162: ( real > int ) > real ).
thf(func_def_244,type,
sK163: ( nat > real ) > nat ).
thf(func_def_245,type,
sK164: ( nat > real ) > nat ).
thf(func_def_246,type,
sK165: ( real > real ) > real ).
thf(func_def_247,type,
sK166: ( real > real ) > real ).
thf(func_def_248,type,
sK167: ( real > real ) > real ).
thf(func_def_249,type,
sK168: ( real > real ) > real ).
thf(func_def_250,type,
sK169: ( nat > nat ) > nat ).
thf(func_def_251,type,
sK170: ( nat > nat ) > nat ).
thf(func_def_252,type,
sK171: ( int > int ) > int ).
thf(func_def_253,type,
sK172: ( int > int ) > int ).
thf(func_def_254,type,
sK173: poly_poly_int > poly_int ).
thf(func_def_255,type,
sK174: poly_int > int ).
thf(func_def_256,type,
sK175: ( real > int ) > real ).
thf(func_def_257,type,
sK176: ( real > int ) > real ).
thf(func_def_258,type,
sK177: ( nat > real ) > nat ).
thf(func_def_259,type,
sK178: ( nat > real ) > nat ).
thf(func_def_260,type,
sK179: ( nat > nat ) > nat ).
thf(func_def_261,type,
sK180: ( nat > nat ) > nat ).
thf(func_def_262,type,
sK181: real > real > real ).
thf(func_def_263,type,
sK182: ( int > int ) > int ).
thf(func_def_264,type,
sK183: ( int > int ) > int ).
thf(func_def_265,type,
sK184: nat > nat ).
thf(f1,axiom,
( ( poly_real2 @ p @ x )
!= zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
thf(f2,axiom,
( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062sign__r__pos_Ap_Ax_A_092_060Longrightarrow_062_A0_A_060_Apoly_Ap_Ax_092_060close_062) ).
thf(f3,axiom,
( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_0620_A_060_Apoly_Ap_Ax_A_092_060Longrightarrow_062_Asign__r__pos_Ap_Ax_092_060close_062) ).
thf(f346,conjecture,
( ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
!= ( sturm_469514713_r_pos @ p @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f347,negated_conjecture,
~ ( ( ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
!= ( sturm_469514713_r_pos @ p @ x ) ) ),
inference(negated_conjecture,[status(cth)],[f346]) ).
thf(f366,plain,
( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) ),
inference(rectify,[],[f3]) ).
thf(f367,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
=> ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
inference(fool_elimination,[],[f366]) ).
thf(f466,plain,
~ ( ( ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
!= ( sturm_469514713_r_pos @ p @ x ) ) ),
inference(rectify,[],[f347]) ).
thf(f467,plain,
~ ( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
<~> ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f466]) ).
thf(f831,plain,
( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
inference(rectify,[],[f2]) ).
thf(f832,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ),
inference(fool_elimination,[],[f831]) ).
thf(f1002,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
!= $true ) ),
inference(ennf_transformation,[],[f832]) ).
thf(f1069,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
<=> ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
& ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
!= $true ) )
| ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
& ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f467]) ).
thf(f1223,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
inference(ennf_transformation,[],[f367]) ).
thf(f1459,plain,
( ( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ) ) )
& ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
& ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
!= $true ) )
| ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
& ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true ) )
| ( ( sturm_469514713_r_pos @ p @ x )
!= $true ) ) ),
inference(nnf_transformation,[],[f1069]) ).
thf(f1460,plain,
( ( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true ) )
& ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ) ) )
& ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
& ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
!= $true ) )
| ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
& ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true ) )
| ( ( sturm_469514713_r_pos @ p @ x )
!= $true ) ) ),
inference(flattening,[],[f1459]) ).
thf(f1823,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
!= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ),
inference(cnf_transformation,[],[f1002]) ).
thf(f1842,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true ) ),
inference(cnf_transformation,[],[f1223]) ).
thf(f1929,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
!= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
!= $true )
| ( ( poly_real2 @ p @ x )
= zero_zero_real ) ),
inference(cnf_transformation,[],[f1460]) ).
thf(f1931,plain,
( ( ( poly_real2 @ p @ x )
= zero_zero_real )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
inference(cnf_transformation,[],[f1460]) ).
thf(f1998,plain,
( ( poly_real2 @ p @ x )
!= zero_zero_real ),
inference(cnf_transformation,[],[f1]) ).
thf(f2524,definition,
( spl185_7
<=> ( ( poly_real2 @ p @ x )
= zero_zero_real ) ),
introduced(definition,[new_symbols(definition,[spl185_7])],[avatar_definition]) ).
thf(f2528,definition,
( spl185_8
<=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl185_8])],[avatar_definition]) ).
thf(f2532,definition,
( spl185_9
<=> ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl185_9])],[avatar_definition]) ).
thf(f2535,plain,
( spl185_7
| ~ spl185_8
| ~ spl185_9 ),
inference(avatar_split_clause,[],[f1929,f2532,f2528,f2524]) ).
thf(f2591,plain,
( spl185_9
| spl185_7
| spl185_8 ),
inference(avatar_split_clause,[],[f1931,f2528,f2524,f2532]) ).
thf(f2609,plain,
~ spl185_7,
inference(avatar_split_clause,[],[f1998,f2524]) ).
thf(f2626,plain,
( spl185_9
| ~ spl185_8 ),
inference(avatar_split_clause,[],[f1842,f2528,f2532]) ).
thf(f2702,plain,
( spl185_8
| ~ spl185_9 ),
inference(avatar_split_clause,[],[f1823,f2532,f2528]) ).
cnf(s7,plain,
( spl185_7
| ~ spl185_8
| ~ spl185_9 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s20,plain,
( spl185_7
| spl185_8
| spl185_9 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s24,plain,
~ spl185_7,
inference(sat_conversion,[],[f2609]) ).
cnf(s31,plain,
( ~ spl185_8
| spl185_9 ),
inference(sat_conversion,[],[f2626]) ).
cnf(s55,plain,
( spl185_8
| ~ spl185_9 ),
inference(sat_conversion,[],[f2702]) ).
cnf(s74,plain,
( spl185_8
| spl185_9 ),
inference(rat,[],[s20,s24]) ).
cnf(s75,plain,
( ~ spl185_8
| ~ spl185_9 ),
inference(rat,[],[s7,s24]) ).
cnf(s76,plain,
spl185_8,
inference(rat,[],[s74,s55]) ).
cnf(s77,plain,
spl185_9,
inference(rat,[],[s31,s76]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s75,s77,s76]) ).
thf(f2759,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP195^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n018.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 20:12:42 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 Running higher-order theorem proving
% 0.25/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.42 % (583261)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.42 % (583272)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3398139730:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.42 % (583279)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.42 % (583279)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.42 % (583276)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1618986787:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.50/0.42 % (583275)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1117383247:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.42 % (583274)lrs+10_16_si=on:nwc=1.5:random_seed=3709284368:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.42 % (583278)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1684096038:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.42 % (583277)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=351646484:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.42 % (583279)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1068406526:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.42 % (583275)Instruction limit reached!
% 0.50/0.42 % (583275)------------------------------
% 0.50/0.42 % (583275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583275)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583275)Termination reason: Instruction limit
% 0.50/0.42 % (583275)Termination phase: shuffling
% 0.50/0.42 % (583275)Time elapsed: 0.003 s
% 0.50/0.42 % (583275)Peak memory usage: 10 MB
% 0.50/0.42 % (583275)Instructions burned: 5 (million)
% 0.50/0.42 % (583274)Instruction limit reached!
% 0.50/0.42 % (583274)------------------------------
% 0.50/0.42 % (583274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583274)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583274)Termination reason: Instruction limit
% 0.50/0.42 % (583274)Termination phase: Property scanning
% 0.50/0.42 % (583274)Time elapsed: 0.009 s
% 0.50/0.42 % (583274)Peak memory usage: 10 MB
% 0.50/0.42 % (583274)Instructions burned: 19 (million)
% 0.50/0.42 % (583277)Instruction limit reached!
% 0.50/0.42 % (583277)------------------------------
% 0.50/0.42 % (583277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583277)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583277)Termination reason: Instruction limit
% 0.50/0.42 % (583277)Termination phase: Property scanning
% 0.50/0.42 % (583277)Time elapsed: 0.011 s
% 0.50/0.42 % (583277)Peak memory usage: 10 MB
% 0.50/0.42 % (583277)Instructions burned: 24 (million)
% 0.50/0.42 % (583272)Instruction limit reached!
% 0.50/0.42 % (583272)------------------------------
% 0.50/0.42 % (583272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583272)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583272)Termination reason: Instruction limit
% 0.50/0.42 % (583272)Termination phase: Property scanning
% 0.50/0.42 % (583272)Time elapsed: 0.021 s
% 0.50/0.42 % (583272)Peak memory usage: 12 MB
% 0.50/0.42 % (583272)Instructions burned: 87 (million)
% 0.50/0.42 % (583293)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3321482214:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.42 % (583293)Instruction limit reached!
% 0.50/0.42 % (583293)------------------------------
% 0.50/0.42 % (583293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583293)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583293)Termination reason: Instruction limit
% 0.50/0.42 % (583293)Termination phase: shuffling
% 0.50/0.42 % (583293)Time elapsed: 0.002 s
% 0.50/0.42 % (583293)Peak memory usage: 10 MB
% 0.50/0.42 % (583293)Instructions burned: 3 (million)
% 0.50/0.42 % (583298)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.42 % (583296)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1595252157:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.42 % (583302)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1548552741:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.42 % (583298)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2533169:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.42 % (583296)Instruction limit reached!
% 0.50/0.42 % (583296)------------------------------
% 0.50/0.42 % (583296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583296)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583296)Termination reason: Instruction limit
% 0.50/0.42 % (583296)Termination phase: shuffling
% 0.50/0.42 % (583296)Time elapsed: 0.003 s
% 0.50/0.42 % (583296)Peak memory usage: 10 MB
% 0.50/0.42 % (583296)Instructions burned: 5 (million)
% 0.50/0.42 % (583302)Instruction limit reached!
% 0.50/0.42 % (583302)------------------------------
% 0.50/0.42 % (583302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583302)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583302)Termination reason: Instruction limit
% 0.50/0.42 % (583302)Termination phase: shuffling
% 0.50/0.42 % (583302)Time elapsed: 0.003 s
% 0.50/0.42 % (583302)Peak memory usage: 10 MB
% 0.50/0.42 % (583302)Instructions burned: 12 (million)
% 0.50/0.42 % (583278)Instruction limit reached!
% 0.50/0.42 % (583278)------------------------------
% 0.50/0.42 % (583278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583278)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583278)Termination reason: Instruction limit
% 0.50/0.42 % (583278)Termination phase: Property scanning
% 0.50/0.42 % (583278)Time elapsed: 0.035 s
% 0.50/0.42 % (583278)Peak memory usage: 12 MB
% 0.50/0.42 % (583278)Instructions burned: 76 (million)
% 0.50/0.42 % (583298)Instruction limit reached!
% 0.50/0.42 % (583298)------------------------------
% 0.50/0.42 % (583298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583298)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583298)Termination reason: Instruction limit
% 0.50/0.42 % (583298)Termination phase: shuffling
% 0.50/0.42 % (583298)Time elapsed: 0.004 s
% 0.50/0.42 % (583298)Peak memory usage: 10 MB
% 0.50/0.42 % (583298)Instructions burned: 8 (million)
% 0.50/0.42 % (583307)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.42 % (583307)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.42 % (583315)lrs+10_1_si=on:cs=on:random_seed=400391408:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.50/0.42 % (583307)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=154926443:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.50/0.42 % (583315)Instruction limit reached!
% 0.50/0.42 % (583315)------------------------------
% 0.50/0.42 % (583315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583315)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583315)Termination reason: Instruction limit
% 0.50/0.42 % (583315)Termination phase: shuffling
% 0.50/0.42 % (583315)Time elapsed: 0.003 s
% 0.50/0.42 % (583315)Peak memory usage: 10 MB
% 0.50/0.42 % (583315)Instructions burned: 13 (million)
% 0.50/0.42 % (583318)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.50/0.42 % (583314)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3847114744:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.50/0.42 % (583318)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3748875772:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.42 % (583319)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3000351019:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.50/0.42 % (583318)Instruction limit reached!
% 0.50/0.42 % (583318)------------------------------
% 0.50/0.42 % (583318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583318)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583318)Termination reason: Instruction limit
% 0.50/0.42 % (583318)Termination phase: shuffling
% 0.50/0.42 % (583318)Time elapsed: 0.002 s
% 0.50/0.42 % (583318)Peak memory usage: 10 MB
% 0.50/0.42 % (583318)Instructions burned: 3 (million)
% 0.50/0.42 % (583327)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2246721552:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.50/0.42 % (583307)Instruction limit reached!
% 0.50/0.42 % (583307)------------------------------
% 0.50/0.42 % (583307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583307)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583307)Termination reason: Instruction limit
% 0.50/0.42 % (583307)Termination phase: shuffling
% 0.50/0.42 % (583307)Time elapsed: 0.013 s
% 0.50/0.42 % (583307)Peak memory usage: 10 MB
% 0.50/0.42 % (583307)Instructions burned: 28 (million)
% 0.50/0.42 % (583276) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-583261-583276"...
% 0.50/0.42 % (583276)...printing done.
% 0.50/0.42 % (583276)Refutation found. Thanks to Tanya!
% 0.50/0.42 % SZS status Theorem for theBenchmark
% 0.50/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.42 % (583276)------------------------------
% 0.50/0.42 % (583276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (583276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (583276)CaDiCaL version: 2.1.3
% 0.50/0.42 % (583276)Termination reason: Refutation
% 0.50/0.42 % (583276)Time elapsed: 0.066 s
% 0.50/0.42 % (583276)Peak memory usage: 14 MB
% 0.50/0.42 % (583276)Instructions burned: 141 (million)
% 0.50/0.42 % (583261)Success in time 0.097 s
% 0.50/0.42 % Vampire exiting
%------------------------------------------------------------------------------