%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG261^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 07:45:15 AM UTC 2026
% Result : Theorem 0.73s 0.45s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 110 ( 39 unt; 0 typ; 10 def)
% Number of atoms : 394 ( 97 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 430 ( 77 ~; 72 |; 0 &; 239 @)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 352 ( 348 usr; 173 con; 0-4 aty)
% ( 21 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 94 ( 12 sgn 26 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_6,type,
subst: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
one: term ).
thf(func_def_1,type,
ap: term > term > term ).
thf(func_def_2,type,
lam: term > term ).
thf(func_def_3,type,
sub: term > subst > term ).
thf(func_def_4,type,
id: subst ).
thf(func_def_5,type,
sh: subst ).
thf(func_def_6,type,
push: term > subst > subst ).
thf(func_def_7,type,
comp: subst > subst > subst ).
thf(func_def_8,type,
var: term > $o ).
thf(func_def_9,type,
pushprop_lem1v2: $o ).
thf(func_def_10,type,
pushprop_lem1_gthm: $o ).
thf(func_def_11,type,
axmap: $o ).
thf(func_def_12,type,
pushprop_lem0_gthm: $o ).
thf(func_def_13,type,
shinj: $o ).
thf(func_def_14,type,
hoasinduction_lem1v2: $o ).
thf(func_def_15,type,
hoasinduction_lem1v2_gthm: $o ).
thf(func_def_16,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_17,type,
induction2lem: $o ).
thf(func_def_18,type,
hoasinduction_lem3v2_f: $o ).
thf(func_def_19,type,
axvarshift: $o ).
thf(func_def_20,type,
hoasapinj2: $o ).
thf(func_def_21,type,
hoasapnotvar_gthm: $o ).
thf(func_def_22,type,
hoasapinj1: $o ).
thf(func_def_23,type,
ulamvar1: $o ).
thf(func_def_24,type,
induction2lem_lthm: $o ).
thf(func_def_25,type,
hoasinduction_lem3v2_gthm: $o ).
thf(func_def_26,type,
apnotvar: $o ).
thf(func_def_27,type,
pushprop_lthm_orig: $o ).
thf(func_def_28,type,
hoasinduction_lem3v2_f_lthm: $o ).
thf(func_def_29,type,
hoasinduction_lthm: $o ).
thf(func_def_30,type,
hoasinduction_no_psi_cond_lthm: $o ).
thf(func_def_31,type,
hoaslaminj: $o ).
thf(func_def_32,type,
hoasinduction_lem3aaa: $o ).
thf(func_def_33,type,
induction2lem_gthm: $o ).
thf(func_def_34,type,
hoasinduction_lem3aa_lthm: $o ).
thf(func_def_35,type,
hoasinduction_lem3: $o ).
thf(func_def_36,type,
hoasinduction_lem2: $o ).
thf(func_def_37,type,
termmset_lthm: $o ).
thf(func_def_38,type,
hoasinduction_lem1: $o ).
thf(func_def_39,type,
hoaslamnotap_lthm: $o ).
thf(func_def_40,type,
pushprop_lem1v2_lthm: $o ).
thf(func_def_41,type,
hoasapnotvar: $o ).
thf(func_def_42,type,
hoasinduction_lem0: $o ).
thf(func_def_43,type,
hoasinduction: $o ).
thf(func_def_44,type,
hoasinduction_gthm: $o ).
thf(func_def_45,type,
axapp: $o ).
thf(func_def_46,type,
hoaslamnotvar_lthm: $o ).
thf(func_def_47,type,
pushprop_lem3v2_lthm: $o ).
thf(func_def_48,type,
hoasinduction_lem3b_lthm: $o ).
thf(func_def_49,type,
ulamvarind: $o ).
thf(func_def_50,type,
induction: $o ).
thf(func_def_51,type,
hoasinduction_lem3a_lthm: $o ).
thf(func_def_52,type,
termmset_gthm: $o ).
thf(func_def_53,type,
hoasinduction_lem3aa: $o ).
thf(func_def_54,type,
pushprop_lem1v2_gthm: $o ).
thf(func_def_55,type,
hoaslamnotap_gthm: $o ).
thf(func_def_56,type,
hoaslamnotvar_gthm: $o ).
thf(func_def_57,type,
hoasinduction_lem3b_gthm: $o ).
thf(func_def_58,type,
pushprop_lem2v2: $o ).
thf(func_def_59,type,
hoasinduction_lem3a_gthm: $o ).
thf(func_def_60,type,
axclos: $o ).
thf(func_def_61,type,
axassoc: $o ).
thf(func_def_62,type,
hoasinduction_lem2v2: $o ).
thf(func_def_63,type,
pushprop_lthm: $o ).
thf(func_def_64,type,
apinj2: $o ).
thf(func_def_65,type,
apinj1: $o ).
thf(func_def_66,type,
hoasapinj2_lthm: $o ).
thf(func_def_67,type,
hoasinduction_lem3v2a: $o ).
thf(func_def_68,type,
hoasapinj1_lthm: $o ).
thf(func_def_69,type,
hoaslaminj_lthm: $o ).
thf(func_def_70,type,
axvarcons: $o ).
thf(func_def_71,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_72,type,
axscons: $o ).
thf(func_def_73,type,
hoasinduction_lem2v2_gthm: $o ).
thf(func_def_74,type,
axidr: $o ).
thf(func_def_75,type,
pushprop_lem1: $o ).
thf(func_def_76,type,
laminj: $o ).
thf(func_def_77,type,
hoasinduction_lem3_lthm: $o ).
thf(func_def_78,type,
pushprop_lem0: $o ).
thf(func_def_79,type,
pushprop_gthm: $o ).
thf(func_def_80,type,
axabs: $o ).
thf(func_def_81,type,
hoasinduction_lem3v2a_lthm: $o ).
thf(func_def_82,type,
hoasinduction_lem2_lthm: $o ).
thf(func_def_83,type,
hoasapinj2_gthm: $o ).
thf(func_def_84,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_85,type,
hoasinduction_lem1_lthm: $o ).
thf(func_def_86,type,
lamnotap: $o ).
thf(func_def_87,type,
hoasapinj1_gthm: $o ).
thf(func_def_88,type,
hoaslamnotvar: $o ).
thf(func_def_89,type,
axidl: $o ).
thf(func_def_90,type,
hoaslaminj_gthm: $o ).
thf(func_def_91,type,
induction2_lthm: $o ).
thf(func_def_92,type,
hoasinduction_lem0_lthm: $o ).
thf(func_def_93,type,
substmonoid_lthm: $o ).
thf(func_def_94,type,
pushprop: $o ).
thf(func_def_95,type,
hoasinduction_lem3_gthm: $o ).
thf(func_def_96,type,
hoasinduction_lem2_gthm: $o ).
thf(func_def_97,type,
hoasinduction_lem3b: $o ).
thf(func_def_98,type,
substmonoid: $o ).
thf(func_def_99,type,
lamnotvar: $o ).
thf(func_def_100,type,
hoasinduction_lem3a: $o ).
thf(func_def_101,type,
hoasinduction_lem1_gthm: $o ).
thf(func_def_102,type,
hoasinduction_no_psi_cond: $o ).
thf(func_def_103,type,
induction2_gthm: $o ).
thf(func_def_104,type,
pushprop_lem2v2_lthm: $o ).
thf(func_def_105,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_106,type,
hoaslamnotap: $o ).
thf(func_def_107,type,
substmonoid_gthm: $o ).
thf(func_def_108,type,
ulamvarsh: $o ).
thf(func_def_109,type,
induction2: $o ).
thf(func_def_110,type,
pushprop_lem3v2: $o ).
thf(func_def_111,type,
pushprop_lem2v2_gthm: $o ).
thf(func_def_112,type,
pushprop_lem1_lthm: $o ).
thf(func_def_113,type,
hoasinduction_lem3v2: $o ).
thf(func_def_114,type,
axshiftcons: $o ).
thf(func_def_115,type,
termmset: $o ).
thf(func_def_116,type,
pushprop_lem0_lthm: $o ).
thf(func_def_117,type,
hoasapnotvar_lthm: $o ).
thf(func_def_118,type,
hoasinduction_lem3v2_lthm: $o ).
thf(func_def_119,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_120,type,
axvarid: $o ).
thf(func_def_121,type,
hoasinduction_lthm_3: $o ).
thf(func_def_123,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_124,type,
vIMP: $o > $o > $o ).
thf(func_def_125,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_130,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_133,type,
vAND: $o > $o > $o ).
thf(func_def_134,type,
vNOT: $o > $o ).
thf(func_def_135,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
vIFF: $o > $o > $o ).
thf(func_def_139,type,
sK0: term ).
thf(func_def_140,type,
sK1: term ).
thf(func_def_141,type,
sK2: term ).
thf(func_def_142,type,
sK3: term ).
thf(func_def_143,type,
sK4: term ).
thf(func_def_144,type,
sK5: term ).
thf(func_def_145,type,
sK6: term ).
thf(func_def_146,type,
sK7: ( subst > term > subst > $o ) > subst ).
thf(func_def_147,type,
sK8: ( subst > term > subst > $o ) > term ).
thf(func_def_148,type,
sK9: ( subst > term > subst > $o ) > term ).
thf(func_def_149,type,
sK10: ( subst > term > subst > $o ) > subst ).
thf(func_def_150,type,
sK11: ( subst > term > subst > $o ) > subst ).
thf(func_def_151,type,
sK12: ( subst > term > subst > $o ) > term ).
thf(func_def_152,type,
sK13: ( subst > term > subst > $o ) > subst ).
thf(func_def_153,type,
sK14: ( subst > term > subst > $o ) > subst ).
thf(func_def_154,type,
sK15: ( subst > term > subst > $o ) > subst ).
thf(func_def_155,type,
sK16: ( subst > term > subst > $o ) > subst ).
thf(func_def_156,type,
sK17: ( subst > term > subst > $o ) > subst ).
thf(func_def_157,type,
sK18: ( subst > term > subst > $o ) > term ).
thf(func_def_158,type,
sK19: ( subst > term > subst > $o ) > subst ).
thf(func_def_159,type,
sK20: ( subst > term > subst > $o ) > subst ).
thf(func_def_160,type,
sK21: ( subst > term > subst > $o ) > subst ).
thf(func_def_161,type,
sK22: subst > term > subst > $o ).
thf(func_def_162,type,
sK23: term ).
thf(func_def_163,type,
sK24: ( subst > term > term ) > subst ).
thf(func_def_164,type,
sK25: ( subst > term > term ) > term ).
thf(func_def_165,type,
sK26: ( subst > term > term ) > subst ).
thf(func_def_166,type,
sK27: subst > term > term ).
thf(func_def_167,type,
sK28: term ).
thf(func_def_168,type,
sK29: term ).
thf(func_def_169,type,
sK30: ( subst > term > subst > $o ) > subst ).
thf(func_def_170,type,
sK31: ( subst > term > subst > $o ) > subst ).
thf(func_def_171,type,
sK32: ( subst > term > subst > $o ) > term ).
thf(func_def_172,type,
sK33: ( subst > term > subst > $o ) > term ).
thf(func_def_173,type,
sK34: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_174,type,
sK35: ( subst > term > subst > $o ) > subst ).
thf(func_def_175,type,
sK36: ( subst > term > subst > $o ) > subst ).
thf(func_def_176,type,
sK37: ( subst > term > subst > $o ) > term ).
thf(func_def_177,type,
sK38: ( subst > term > subst > $o ) > term ).
thf(func_def_178,type,
sK39: ( subst > term > subst > $o ) > term ).
thf(func_def_179,type,
sK40: ( subst > term > subst > $o ) > subst ).
thf(func_def_180,type,
sK41: ( subst > term > subst > $o ) > subst ).
thf(func_def_181,type,
sK42: ( subst > term > subst > $o ) > term ).
thf(func_def_182,type,
sK43: ( subst > term > subst > $o ) > subst ).
thf(func_def_183,type,
sK44: ( subst > term > subst > $o ) > subst ).
thf(func_def_184,type,
sK45: ( subst > term > subst > $o ) > subst ).
thf(func_def_185,type,
sK46: ( subst > term > subst > $o ) > subst ).
thf(func_def_186,type,
sK47: ( subst > term > subst > $o ) > term ).
thf(func_def_187,type,
sK48: ( subst > term > subst > $o ) > term ).
thf(func_def_188,type,
sK49: ( subst > term > subst > $o ) > subst ).
thf(func_def_189,type,
sK50: ( subst > term > subst > $o ) > subst ).
thf(func_def_190,type,
sK51: ( subst > term > subst > $o ) > term ).
thf(func_def_191,type,
sK52: ( subst > term > subst > $o ) > subst ).
thf(func_def_192,type,
sK53: ( subst > term > subst > $o ) > subst ).
thf(func_def_193,type,
sK54: ( subst > term > subst > $o ) > subst ).
thf(func_def_194,type,
sK55: ( subst > term > subst > $o ) > subst ).
thf(func_def_195,type,
sK56: ( subst > term > subst > $o ) > term ).
thf(func_def_196,type,
sK57: ( subst > term > subst > $o ) > term ).
thf(func_def_197,type,
sK58: ( subst > term > subst > $o ) > subst ).
thf(func_def_198,type,
sK59: ( subst > term > subst > $o ) > subst ).
thf(func_def_199,type,
sK60: ( subst > term > subst > $o ) > subst ).
thf(func_def_200,type,
sK61: ( subst > term > subst > $o ) > subst ).
thf(func_def_201,type,
sK62: ( subst > term > subst > $o ) > subst ).
thf(func_def_202,type,
sK63: ( subst > term > subst > $o ) > subst ).
thf(func_def_203,type,
sK64: ( subst > term > subst > $o ) > subst ).
thf(func_def_204,type,
sK65: ( subst > term > subst > $o ) > term ).
thf(func_def_205,type,
sK66: ( subst > term > subst > $o ) > subst ).
thf(func_def_206,type,
sK67: ( subst > term > subst > $o ) > term ).
thf(func_def_207,type,
sK68: ( subst > term > subst > $o ) > term ).
thf(func_def_208,type,
sK69: ( subst > term > subst > $o ) > subst ).
thf(func_def_209,type,
sK70: ( subst > term > subst > $o ) > subst ).
thf(func_def_210,type,
sK71: ( subst > term > subst > $o ) > term ).
thf(func_def_211,type,
sK72: ( subst > term > subst > $o ) > subst ).
thf(func_def_212,type,
sK73: ( subst > term > subst > $o ) > subst ).
thf(func_def_213,type,
sK74: ( subst > term > subst > $o ) > subst ).
thf(func_def_214,type,
sK75: ( subst > term > subst > $o ) > subst ).
thf(func_def_215,type,
sK76: ( subst > term > subst > $o ) > term ).
thf(func_def_216,type,
sK77: ( subst > term > subst > $o ) > subst ).
thf(func_def_217,type,
sK78: ( subst > term > subst > $o ) > term ).
thf(func_def_218,type,
sK79: ( subst > term > subst > $o ) > term ).
thf(func_def_219,type,
sK80: ( subst > term > subst > $o ) > subst ).
thf(func_def_220,type,
sK81: ( subst > term > subst > $o ) > subst ).
thf(func_def_221,type,
sK82: ( subst > term > subst > $o ) > term ).
thf(func_def_222,type,
sK83: ( subst > term > subst > $o ) > subst ).
thf(func_def_223,type,
sK84: ( subst > term > subst > $o ) > subst ).
thf(func_def_224,type,
sK85: ( subst > term > subst > $o ) > subst ).
thf(func_def_225,type,
sK86: ( subst > term > subst > $o ) > subst ).
thf(func_def_226,type,
sK87: ( subst > term > subst > $o ) > term ).
thf(func_def_227,type,
sK88: ( subst > term > subst > $o ) > term ).
thf(func_def_228,type,
sK89: ( subst > term > subst > $o ) > subst ).
thf(func_def_229,type,
sK90: ( subst > term > subst > $o ) > subst ).
thf(func_def_230,type,
sK91: ( subst > term > subst > $o ) > subst ).
thf(func_def_231,type,
sK92: ( subst > term > subst > $o ) > subst ).
thf(func_def_232,type,
sK93: ( subst > term > subst > $o ) > subst ).
thf(func_def_233,type,
sK94: ( subst > term > subst > $o ) > subst ).
thf(func_def_234,type,
sK95: subst > term > subst > $o ).
thf(func_def_235,type,
sK96: ( subst > term > term ) > term ).
thf(func_def_236,type,
sK97: ( subst > term > term ) > term ).
thf(func_def_237,type,
sK98: ( subst > term > term ) > subst ).
thf(func_def_238,type,
sK99: ( subst > term > term ) > subst ).
thf(func_def_239,type,
sK100: ( subst > term > term ) > subst ).
thf(func_def_240,type,
sK101: term ).
thf(func_def_241,type,
sK102: ( term > $o ) > term ).
thf(func_def_242,type,
sK103: ( term > $o ) > term ).
thf(func_def_243,type,
sK104: ( term > $o ) > term ).
thf(func_def_244,type,
sK105: ( term > $o ) > term ).
thf(func_def_245,type,
sK106: term > $o ).
thf(func_def_246,type,
sK107: term > term ).
thf(func_def_247,type,
sK108: term ).
thf(func_def_248,type,
sK109: ( term > $o ) > term ).
thf(func_def_249,type,
sK110: ( term > $o ) > term ).
thf(func_def_250,type,
sK111: ( term > $o ) > term ).
thf(func_def_251,type,
sK112: subst > ( term > $o ) > term ).
thf(func_def_252,type,
sK113: subst > ( term > $o ) > term ).
thf(func_def_253,type,
sK114: subst > ( term > $o ) > term ).
thf(func_def_254,type,
sK115: subst > ( term > $o ) > term ).
thf(func_def_255,type,
sK116: term > $o ).
thf(func_def_256,type,
sK117: term > term ).
thf(func_def_257,type,
sK118: term ).
thf(func_def_258,type,
sK119: subst ).
thf(func_def_259,type,
sK120: ( subst > term > subst > $o ) > term ).
thf(func_def_260,type,
sK121: ( subst > term > subst > $o ) > term ).
thf(func_def_261,type,
sK122: ( subst > term > subst > $o ) > term ).
thf(func_def_262,type,
sK123: ( subst > term > subst > $o ) > subst ).
thf(func_def_263,type,
sK124: ( subst > term > subst > $o ) > subst ).
thf(func_def_264,type,
sK125: ( subst > term > subst > $o ) > subst ).
thf(func_def_265,type,
sK126: ( subst > term > subst > $o ) > subst ).
thf(func_def_266,type,
sK127: ( subst > term > subst > $o ) > subst ).
thf(func_def_267,type,
sK128: ( subst > term > subst > $o ) > subst ).
thf(func_def_268,type,
sK129: ( subst > term > subst > $o ) > subst ).
thf(func_def_269,type,
sK130: ( subst > term > subst > $o ) > subst ).
thf(func_def_270,type,
sK131: ( subst > term > subst > $o ) > subst ).
thf(func_def_271,type,
sK132: ( subst > term > subst > $o ) > subst ).
thf(func_def_272,type,
sK133: ( subst > term > subst > $o ) > subst ).
thf(func_def_273,type,
sK134: ( subst > term > subst > $o ) > subst ).
thf(func_def_274,type,
sK135: subst > term > subst > $o ).
thf(func_def_275,type,
sK136: term > $o ).
thf(func_def_276,type,
sK137: term ).
thf(func_def_277,type,
sK138: term ).
thf(func_def_278,type,
sK139: term ).
thf(func_def_279,type,
sK140: term ).
thf(func_def_280,type,
sK141: subst ).
thf(func_def_281,type,
sK142: subst ).
thf(func_def_282,type,
sK143: term ).
thf(func_def_283,type,
sK144: term ).
thf(func_def_284,type,
sK145: subst ).
thf(func_def_285,type,
sK146: term ).
thf(func_def_286,type,
sK147: subst ).
thf(func_def_287,type,
sK148: subst ).
thf(func_def_288,type,
sK149: term ).
thf(func_def_289,type,
sK150: ( subst > term > subst > $o ) > subst ).
thf(func_def_290,type,
sK151: ( subst > term > subst > $o ) > subst ).
thf(func_def_291,type,
sK152: ( subst > term > subst > $o ) > term ).
thf(func_def_292,type,
sK153: ( subst > term > subst > $o ) > term ).
thf(func_def_293,type,
sK154: ( subst > term > subst > $o ) > subst ).
thf(func_def_294,type,
sK155: ( subst > term > subst > $o ) > subst ).
thf(func_def_295,type,
sK156: ( subst > term > subst > $o ) > subst ).
thf(func_def_296,type,
sK157: ( subst > term > subst > $o ) > subst ).
thf(func_def_297,type,
sK158: ( subst > term > subst > $o ) > term ).
thf(func_def_298,type,
sK159: ( subst > term > subst > $o ) > term ).
thf(func_def_299,type,
sK160: ( subst > term > subst > $o ) > term ).
thf(func_def_300,type,
sK161: ( subst > term > subst > $o ) > term ).
thf(func_def_301,type,
sK162: ( subst > term > subst > $o ) > term ).
thf(func_def_302,type,
sK163: ( subst > term > subst > $o ) > term ).
thf(func_def_303,type,
sK164: subst > term > subst > $o ).
thf(func_def_304,type,
sK165: term ).
thf(func_def_305,type,
sK166: term ).
thf(func_def_306,type,
sK167: term ).
thf(func_def_307,type,
sK168: term ).
thf(func_def_308,type,
sK169: term ).
thf(func_def_309,type,
sK170: ( subst > term > term ) > subst ).
thf(func_def_310,type,
sK171: ( subst > term > term ) > term ).
thf(func_def_311,type,
sK172: ( subst > term > term ) > subst ).
thf(func_def_312,type,
sK173: subst > term > term ).
thf(func_def_313,type,
sK174: term ).
thf(func_def_314,type,
sK175: term ).
thf(func_def_315,type,
sK176: subst ).
thf(func_def_316,type,
sK177: subst ).
thf(func_def_317,type,
sK178: subst ).
thf(func_def_318,type,
sK179: subst ).
thf(func_def_319,type,
sK180: ( subst > term > term ) > term ).
thf(func_def_320,type,
sK181: ( subst > term > term ) > term ).
thf(func_def_321,type,
sK182: ( subst > term > term ) > subst ).
thf(func_def_322,type,
sK183: ( subst > term > term ) > subst ).
thf(func_def_323,type,
sK184: ( subst > term > term ) > subst ).
thf(func_def_324,type,
sK185: ( subst > term > term ) > subst ).
thf(func_def_325,type,
sK186: subst > term > term ).
thf(func_def_326,type,
sK187: subst > term > term ).
thf(func_def_327,type,
sK188: term ).
thf(func_def_328,type,
sK189: subst ).
thf(func_def_329,type,
sK190: term ).
thf(func_def_330,type,
sK191: term ).
thf(func_def_331,type,
sK192: term ).
thf(func_def_332,type,
sK193: term ).
thf(func_def_333,type,
sK194: ( term > $o ) > subst > term ).
thf(func_def_334,type,
sK195: subst ).
thf(func_def_335,type,
sK196: term ).
thf(func_def_336,type,
sK197: term > $o ).
thf(func_def_337,type,
sK198: term ).
thf(func_def_338,type,
sK199: term ).
thf(func_def_339,type,
sK200: subst ).
thf(f3,axiom,
! [X0: term] :
( ( ( sub @ X0 @ id )
= X0 )
= axvarid ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f21,axiom,
! [X0: term,X1: term] :
( ( ~ ( var @ ( ap @ X0 @ X1 ) ) )
= apnotvar ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apnotvar) ).
thf(f55,axiom,
( hoasap
= ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f57,axiom,
( hoasvar
= ( ^ [X0: subst,X1: term,X2: subst] : ( var @ ( sub @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasvar) ).
thf(f73,axiom,
( hoasapnotvar
= ( ! [X1: term,X0: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X0 @ id @ X1 ) @ id ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapnotvar) ).
thf(f75,axiom,
( ( hoasapnotvar_lthm = axvarid )
=> ( apnotvar
=> hoasapnotvar ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapnotvar_lthm) ).
thf(f114,conjecture,
hoasapnotvar_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasapnotvar_lthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f162,plain,
( ( hoasapnotvar_lthm = axvarid )
=> ( apnotvar
=> hoasapnotvar ) ),
inference(rectify,[],[f75]) ).
thf(f163,plain,
( hoasapnotvar_lthm
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ),
inference(fool_elimination,[],[f162]) ).
thf(f214,plain,
! [X0: term,X1: term] :
( ( ~ ( var @ ( ap @ X0 @ X1 ) ) )
= apnotvar ),
inference(rectify,[],[f21]) ).
thf(f215,plain,
( apnotvar
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( var @ ( ap @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f214]) ).
thf(f224,plain,
( hoasapnotvar
= ( ! [X0: term,X1: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X0 ) @ id ) ) ),
inference(rectify,[],[f73]) ).
thf(f225,plain,
( hoasapnotvar
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ Y0 @ id @ Y1 ) @ id ) ) ) ),
inference(fool_elimination,[],[f224]) ).
thf(f226,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f239,plain,
( hoasvar
= ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f267,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f272,plain,
~ hoasapnotvar_lthm,
inference(rectify,[],[f115]) ).
thf(f273,plain,
hoasapnotvar_lthm != $true,
inference(fool_elimination,[],[f272]) ).
thf(f319,plain,
hoasapnotvar_lthm != $true,
inference(flattening,[],[f273]) ).
thf(f326,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f226]) ).
thf(f331,plain,
( hoasapnotvar
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ Y0 @ id @ Y1 ) @ id ) ) ) ),
inference(cnf_transformation,[],[f225]) ).
thf(f334,plain,
hoasapnotvar_lthm != $true,
inference(cnf_transformation,[],[f319]) ).
thf(f335,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f267]) ).
thf(f338,plain,
( hoasvar
= ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f239]) ).
thf(f342,plain,
( apnotvar
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( var @ ( ap @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f215]) ).
thf(f348,plain,
( hoasapnotvar_lthm
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ),
inference(cnf_transformation,[],[f163]) ).
thf(f353,plain,
( hoasapnotvar
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( ^ [Y2: subst,Y3: term,Y4: subst] : ( var @ ( sub @ Y3 @ Y4 ) )
@ id
@ ( ^ [Y2: subst,Y3: term,Y4: subst,Y5: term] : ( ap @ ( sub @ Y3 @ Y4 ) @ Y5 )
@ id
@ Y0
@ id
@ Y1 )
@ id ) ) ) ),
inference(definition_unfolding,[],[f331,f338,f326]) ).
thf(f404,plain,
( ( hoasapnotvar_lthm = $true )
| ( $false
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ) ),
inference(iff_proxy_clausification,[],[f348]) ).
thf(f408,plain,
( ( hoasapnotvar_lthm = $true )
| ( $false
= ( apnotvar
=> hoasapnotvar ) ) ),
inference(imp_proxy_clausification,[],[f404]) ).
thf(f409,plain,
( ( axvarid = $true )
| ( hoasapnotvar_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f404]) ).
thf(f410,plain,
( ( hoasapnotvar_lthm = $true )
| ( hoasapnotvar = $false ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f411,plain,
( ( apnotvar = $true )
| ( hoasapnotvar_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f1147,plain,
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( var @ ( ap @ Y1 @ Y0 ) ) ) ) )
| ( apnotvar = $false ) ),
inference(iff_proxy_clausification,[],[f342]) ).
thf(f1148,plain,
! [X1: term] :
( ( apnotvar = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( var @ ( ap @ Y1 @ Y0 ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1147]) ).
thf(f1149,plain,
! [X1: term] :
( ( apnotvar = $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
~ ( var @ ( ap @ Y0 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1148]) ).
thf(f1150,plain,
! [X2: term,X1: term] :
( ( apnotvar = $false )
| ( ( ^ [Y0: term] :
~ ( var @ ( ap @ Y0 @ X1 ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1149]) ).
thf(f1151,plain,
! [X2: term,X1: term] :
( ( $true
= ( ~ ( var @ ( ap @ X2 @ X1 ) ) ) )
| ( apnotvar = $false ) ),
inference(beta-eta_normalization,[],[f1150]) ).
thf(f1152,plain,
! [X2: term,X1: term] :
( ( apnotvar = $false )
| ( ( var @ ( ap @ X2 @ X1 ) )
= $false ) ),
inference(not_proxy_clausification,[],[f1151]) ).
thf(f1171,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true )
| ( axvarid = $false ) ),
inference(iff_proxy_clausification,[],[f335]) ).
thf(f1172,plain,
! [X1: term] :
( ( ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 )
= $true )
| ( axvarid = $false ) ),
inference(pi_proxy_clausification,[],[f1171]) ).
thf(f1173,plain,
! [X1: term] :
( ( $true
= ( ( sub @ X1 @ id )
= X1 ) )
| ( axvarid = $false ) ),
inference(beta-eta_normalization,[],[f1172]) ).
thf(f1174,plain,
! [X1: term] :
( ( axvarid = $false )
| ( ( sub @ X1 @ id )
= X1 ) ),
inference(equality_proxy_clausification,[],[f1173]) ).
thf(f1339,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( ^ [Y2: subst,Y3: term,Y4: subst] : ( var @ ( sub @ Y3 @ Y4 ) )
@ id
@ ( ^ [Y2: subst,Y3: term,Y4: subst,Y5: term] : ( ap @ ( sub @ Y3 @ Y4 ) @ Y5 )
@ id
@ Y0
@ id
@ Y1 )
@ id ) ) ) )
| ( hoasapnotvar = $true ) ),
inference(iff_proxy_clausification,[],[f353]) ).
thf(f1346,plain,
( ( hoasapnotvar = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
~ ( ^ [Y2: subst,Y3: term,Y4: subst] : ( var @ ( sub @ Y3 @ Y4 ) )
@ id
@ ( ^ [Y2: subst,Y3: term,Y4: subst,Y5: term] : ( ap @ ( sub @ Y3 @ Y4 ) @ Y5 )
@ id
@ Y0
@ id
@ Y1 )
@ id ) )
@ sK174 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1339]) ).
thf(f1347,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
~ ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ Y0 ) @ id ) ) ) )
| ( hoasapnotvar = $true ) ),
inference(beta-eta_normalization,[],[f1346]) ).
thf(f1348,plain,
( ( hoasapnotvar = $true )
| ( $false
= ( ^ [Y0: term] :
~ ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ Y0 ) @ id ) )
@ sK175 ) ) ),
inference(sigma_proxy_clausification,[],[f1347]) ).
thf(f1349,plain,
( ( hoasapnotvar = $true )
| ( $false
= ( ~ ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ sK175 ) @ id ) ) ) ) ),
inference(beta-eta_normalization,[],[f1348]) ).
thf(f1350,plain,
( ( hoasapnotvar = $true )
| ( ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ sK175 ) @ id ) )
= $true ) ),
inference(not_proxy_clausification,[],[f1349]) ).
thf(f1539,definition,
( spl201_10
<=> ( axvarid = $false ) ),
introduced(definition,[new_symbols(definition,[spl201_10])],[avatar_definition]) ).
thf(f1541,plain,
( ( axvarid = $false )
| ~ spl201_10 ),
inference(avatar_component_clause,[],[f1539]) ).
thf(f1543,definition,
( spl201_11
<=> ( hoasapnotvar = $true ) ),
introduced(definition,[new_symbols(definition,[spl201_11])],[avatar_definition]) ).
thf(f1545,plain,
( ( hoasapnotvar = $true )
| ~ spl201_11 ),
inference(avatar_component_clause,[],[f1543]) ).
thf(f1547,definition,
( spl201_12
<=> ( apnotvar = $false ) ),
introduced(definition,[new_symbols(definition,[spl201_12])],[avatar_definition]) ).
thf(f1549,plain,
( ( apnotvar = $false )
| ~ spl201_12 ),
inference(avatar_component_clause,[],[f1547]) ).
thf(f1556,definition,
( spl201_14
<=> ( hoasapnotvar_lthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl201_14])],[avatar_definition]) ).
thf(f1560,definition,
( spl201_15
<=> ( axvarid = $true ) ),
introduced(definition,[new_symbols(definition,[spl201_15])],[avatar_definition]) ).
thf(f1562,plain,
( ( axvarid = $true )
| ~ spl201_15 ),
inference(avatar_component_clause,[],[f1560]) ).
thf(f1563,plain,
( spl201_14
| spl201_15 ),
inference(avatar_split_clause,[],[f409,f1560,f1556]) ).
thf(f1565,definition,
( spl201_16
<=> ( apnotvar = $true ) ),
introduced(definition,[new_symbols(definition,[spl201_16])],[avatar_definition]) ).
thf(f1567,plain,
( ( apnotvar = $true )
| ~ spl201_16 ),
inference(avatar_component_clause,[],[f1565]) ).
thf(f1568,plain,
( spl201_14
| spl201_16 ),
inference(avatar_split_clause,[],[f411,f1565,f1556]) ).
thf(f1570,definition,
( spl201_17
<=> ( hoasapnotvar = $false ) ),
introduced(definition,[new_symbols(definition,[spl201_17])],[avatar_definition]) ).
thf(f1572,plain,
( ( hoasapnotvar = $false )
| ~ spl201_17 ),
inference(avatar_component_clause,[],[f1570]) ).
thf(f1573,plain,
( spl201_17
| spl201_14 ),
inference(avatar_split_clause,[],[f410,f1556,f1570]) ).
thf(f2243,definition,
( spl201_182
<=> ! [X2: term,X1: term] :
( ( var @ ( ap @ X2 @ X1 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl201_182])],[avatar_definition]) ).
thf(f2244,plain,
( ! [X2: term,X1: term] :
( ( var @ ( ap @ X2 @ X1 ) )
= $false )
| ~ spl201_182 ),
inference(avatar_component_clause,[],[f2243]) ).
thf(f2245,plain,
( spl201_182
| spl201_12 ),
inference(avatar_split_clause,[],[f1152,f1547,f2243]) ).
thf(f2283,definition,
( spl201_191
<=> ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl201_191])],[avatar_definition]) ).
thf(f2284,plain,
( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
| ~ spl201_191 ),
inference(avatar_component_clause,[],[f2283]) ).
thf(f2285,plain,
( spl201_191
| spl201_10 ),
inference(avatar_split_clause,[],[f1174,f1539,f2283]) ).
thf(f2308,plain,
~ spl201_14,
inference(avatar_split_clause,[],[f334,f1556]) ).
thf(f2457,definition,
( spl201_232
<=> ( ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ sK175 ) @ id ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl201_232])],[avatar_definition]) ).
thf(f2459,plain,
( ( ( var @ ( sub @ ( ap @ ( sub @ sK174 @ id ) @ sK175 ) @ id ) )
= $true )
| ~ spl201_232 ),
inference(avatar_component_clause,[],[f2457]) ).
thf(f2460,plain,
( spl201_232
| spl201_11 ),
inference(avatar_split_clause,[],[f1350,f1543,f2457]) ).
thf(f2599,plain,
( ( $false = $true )
| ~ spl201_10
| ~ spl201_15 ),
inference(forward_demodulation,[],[f1562,f1541]) ).
thf(f2600,plain,
( $false
| ~ spl201_10
| ~ spl201_15 ),
inference(trivial_inequality_removal,[],[f2599]) ).
thf(f2601,plain,
( ~ spl201_10
| ~ spl201_15 ),
inference(avatar_contradiction_clause,[],[f2600]) ).
thf(f2603,plain,
( ( $false = $true )
| ~ spl201_12
| ~ spl201_16 ),
inference(forward_demodulation,[],[f1567,f1549]) ).
thf(f2604,plain,
( $false
| ~ spl201_12
| ~ spl201_16 ),
inference(trivial_inequality_removal,[],[f2603]) ).
thf(f2605,plain,
( ~ spl201_12
| ~ spl201_16 ),
inference(avatar_contradiction_clause,[],[f2604]) ).
thf(f2608,plain,
( ( $false = $true )
| ~ spl201_11
| ~ spl201_17 ),
inference(superposition,[],[f1545,f1572]) ).
thf(f2611,plain,
( $false
| ~ spl201_11
| ~ spl201_17 ),
inference(trivial_inequality_removal,[],[f2608]) ).
thf(f2612,plain,
( ~ spl201_11
| ~ spl201_17 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
thf(f2673,plain,
( ( $true
= ( var @ ( ap @ ( sub @ sK174 @ id ) @ sK175 ) ) )
| ~ spl201_191
| ~ spl201_232 ),
inference(forward_demodulation,[],[f2459,f2284]) ).
thf(f2674,plain,
( ( $false = $true )
| ~ spl201_182
| ~ spl201_191
| ~ spl201_232 ),
inference(forward_demodulation,[],[f2673,f2244]) ).
thf(f2675,plain,
( $false
| ~ spl201_182
| ~ spl201_191
| ~ spl201_232 ),
inference(trivial_inequality_removal,[],[f2674]) ).
thf(f2676,plain,
( ~ spl201_182
| ~ spl201_191
| ~ spl201_232 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
cnf(s7,plain,
( spl201_14
| spl201_15 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s8,plain,
( spl201_14
| spl201_16 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s9,plain,
( spl201_14
| spl201_17 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s158,plain,
( spl201_12
| spl201_182 ),
inference(sat_conversion,[],[f2245]) ).
cnf(s164,plain,
( spl201_10
| spl201_191 ),
inference(sat_conversion,[],[f2285]) ).
cnf(s168,plain,
~ spl201_14,
inference(sat_conversion,[],[f2308]) ).
cnf(s196,plain,
( spl201_11
| spl201_232 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s217,plain,
( ~ spl201_10
| ~ spl201_15 ),
inference(sat_conversion,[],[f2601]) ).
cnf(s218,plain,
( ~ spl201_12
| ~ spl201_16 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s220,plain,
( ~ spl201_11
| ~ spl201_17 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s225,plain,
( ~ spl201_182
| ~ spl201_191
| ~ spl201_232 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s226,plain,
spl201_17,
inference(rat,[],[s9,s168]) ).
cnf(s227,plain,
~ spl201_11,
inference(rat,[],[s220,s226]) ).
cnf(s228,plain,
spl201_232,
inference(rat,[],[s196,s227]) ).
cnf(s229,plain,
spl201_16,
inference(rat,[],[s8,s168]) ).
cnf(s230,plain,
~ spl201_12,
inference(rat,[],[s218,s229]) ).
cnf(s231,plain,
spl201_182,
inference(rat,[],[s158,s230]) ).
cnf(s232,plain,
~ spl201_191,
inference(rat,[],[s225,s228,s231]) ).
cnf(s233,plain,
spl201_10,
inference(rat,[],[s164,s232]) ).
cnf(s234,plain,
~ spl201_15,
inference(rat,[],[s217,s233]) ).
cnf(s236,plain,
$false,
inference(rat,[],[s7,s234,s168]) ).
thf(f2677,plain,
$false,
inference(avatar_sat_refutation,[],[s236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG261^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n007.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 17:32:46 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.23 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
% 0.73/0.36 % (3691431)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.36 % (3691452)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3315883661:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.36 % (3691454)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.36 % (3691454)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
% 0.73/0.36 % (3691452)Instruction limit reached!
% 0.73/0.36 % (3691452)------------------------------
% 0.73/0.36 % (3691452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (3691452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (3691452)CaDiCaL version: 2.1.3
% 0.73/0.36 % (3691452)Termination reason: Instruction limit
% 0.73/0.36 % (3691452)Termination phase: Naming
% 0.73/0.36 % (3691452)Time elapsed: 0.006 s
% 0.73/0.36 % (3691452)Peak memory usage: 11 MB
% 0.73/0.36 % (3691452)Instructions burned: 25 (million)
% 0.73/0.36 % (3691448)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1605786038:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.36 % (3691450)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1142106487:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.36 % (3691449)lrs+10_16_si=on:nwc=1.5:random_seed=2249160910:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.36 % (3691451)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=3992202244: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)
% 0.73/0.36 % (3691453)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1319496460:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.36 % (3691454)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=3325683454:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.36 % (3691450)Instruction limit reached!
% 0.73/0.36 % (3691450)------------------------------
% 0.73/0.36 % (3691450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (3691450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (3691450)CaDiCaL version: 2.1.3
% 0.73/0.36 % (3691450)Termination reason: Instruction limit
% 0.73/0.36 % (3691450)Termination phase: shuffling
% 0.73/0.36 % (3691450)Time elapsed: 0.002 s
% 0.73/0.36 % (3691450)Peak memory usage: 10 MB
% 0.73/0.36 % (3691450)Instructions burned: 3 (million)
% 0.73/0.36 % (3691449)Instruction limit reached!
% 0.73/0.36 % (3691449)------------------------------
% 0.73/0.36 % (3691449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (3691449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (3691449)CaDiCaL version: 2.1.3
% 0.73/0.36 % (3691449)Termination reason: Instruction limit
% 0.73/0.36 % (3691449)Termination phase: shuffling
% 0.73/0.36 % (3691449)Time elapsed: 0.008 s
% 0.73/0.36 % (3691449)Peak memory usage: 10 MB
% 0.73/0.36 % (3691449)Instructions burned: 19 (million)
% 0.73/0.36 % (3691463)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1659118982:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.36 % (3691463)Instruction limit reached!
% 0.73/0.36 % (3691463)------------------------------
% 0.73/0.36 % (3691463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (3691463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (3691463)CaDiCaL version: 2.1.3
% 0.73/0.36 % (3691463)Termination reason: Instruction limit
% 0.73/0.36 % (3691463)Termination phase: shuffling
% 0.73/0.36 % (3691463)Time elapsed: 0.001 s
% 0.73/0.36 % (3691463)Peak memory usage: 10 MB
% 0.73/0.36 % (3691463)Instructions burned: 3 (million)
% 0.73/0.36 % (3691478)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3292735306:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.39 % (3691472)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2590244570:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.39 % (3691478)Instruction limit reached!
% 0.73/0.39 % (3691478)------------------------------
% 0.73/0.39 % (3691478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691478)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691478)Termination reason: Instruction limit
% 0.73/0.39 % (3691478)Termination phase: shuffling
% 0.73/0.39 % (3691478)Time elapsed: 0.003 s
% 0.73/0.39 % (3691478)Peak memory usage: 10 MB
% 0.73/0.39 % (3691478)Instructions burned: 13 (million)
% 0.73/0.39 % (3691477)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.39 % (3691472)Instruction limit reached!
% 0.73/0.39 % (3691472)------------------------------
% 0.73/0.39 % (3691472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691472)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691472)Termination reason: Instruction limit
% 0.73/0.39 % (3691472)Termination phase: shuffling
% 0.73/0.39 % (3691472)Time elapsed: 0.003 s
% 0.73/0.39 % (3691472)Peak memory usage: 10 MB
% 0.73/0.39 % (3691472)Instructions burned: 6 (million)
% 0.73/0.39 % (3691477)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=892088280:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.39 % (3691477)Instruction limit reached!
% 0.73/0.39 % (3691477)------------------------------
% 0.73/0.39 % (3691477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691484)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
% 0.73/0.39 % (3691477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691484)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.39 % (3691477)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691477)Termination reason: Instruction limit
% 0.73/0.39 % (3691477)Termination phase: shuffling
% 0.73/0.39 % (3691477)Time elapsed: 0.004 s
% 0.73/0.39 % (3691477)Peak memory usage: 10 MB
% 0.73/0.39 % (3691477)Instructions burned: 8 (million)
% 0.73/0.39 % (3691484)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1490889859:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.39 % (3691453)Instruction limit reached!
% 0.73/0.39 % (3691453)------------------------------
% 0.73/0.39 % (3691453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691453)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691453)Termination reason: Instruction limit
% 0.73/0.39 % (3691453)Termination phase: Property scanning
% 0.73/0.39 % (3691453)Time elapsed: 0.035 s
% 0.73/0.39 % (3691453)Peak memory usage: 12 MB
% 0.73/0.39 % (3691453)Instructions burned: 77 (million)
% 0.73/0.39 % (3691448)Instruction limit reached!
% 0.73/0.39 % (3691448)------------------------------
% 0.73/0.39 % (3691448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691448)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691448)Termination reason: Instruction limit
% 0.73/0.39 % (3691448)Termination phase: Function definition elimination
% 0.73/0.39 % (3691448)Time elapsed: 0.040 s
% 0.73/0.39 % (3691448)Peak memory usage: 12 MB
% 0.73/0.39 % (3691448)Instructions burned: 89 (million)
% 0.73/0.39 % (3691484)Instruction limit reached!
% 0.73/0.39 % (3691484)------------------------------
% 0.73/0.39 % (3691484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3691484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3691484)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3691484)Termination reason: Instruction limit
% 0.73/0.42 % (3691484)Termination phase: Property scanning
% 0.73/0.42 % (3691484)Time elapsed: 0.009 s
% 0.73/0.42 % (3691484)Peak memory usage: 11 MB
% 0.73/0.42 % (3691484)Instructions burned: 43 (million)
% 0.73/0.42 % (3691485)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=2574929595:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.42 % (3691491)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.42 % (3691487)lrs+10_1_si=on:cs=on:random_seed=3531265402:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.42 % (3691491)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=375451779:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.42 % (3691487)Instruction limit reached!
% 0.73/0.42 % (3691487)------------------------------
% 0.73/0.42 % (3691487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (3691487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (3691487)CaDiCaL version: 2.1.3
% 0.73/0.42 % (3691487)Termination reason: Instruction limit
% 0.73/0.42 % (3691487)Termination phase: shuffling
% 0.73/0.42 % (3691487)Time elapsed: 0.004 s
% 0.73/0.42 % (3691487)Peak memory usage: 10 MB
% 0.73/0.42 % (3691487)Instructions burned: 9 (million)
% 0.73/0.42 % (3691497)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=106191128:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.42 % (3691491)Instruction limit reached!
% 0.73/0.42 % (3691491)------------------------------
% 0.73/0.42 % (3691491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (3691491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (3691491)CaDiCaL version: 2.1.3
% 0.73/0.42 % (3691491)Termination reason: Instruction limit
% 0.73/0.42 % (3691491)Termination phase: shuffling
% 0.73/0.42 % (3691491)Time elapsed: 0.003 s
% 0.73/0.42 % (3691491)Peak memory usage: 10 MB
% 0.73/0.42 % (3691491)Instructions burned: 7 (million)
% 0.73/0.42 % (3691493)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1645638169:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.42 % (3691454)Instruction limit reached!
% 0.73/0.42 % (3691454)------------------------------
% 0.73/0.42 % (3691454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (3691454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (3691454)CaDiCaL version: 2.1.3
% 0.73/0.42 % (3691454)Termination reason: Instruction limit
% 0.73/0.42 % (3691454)Termination phase: Saturation
% 0.73/0.42 % (3691454)Time elapsed: 0.066 s
% 0.73/0.42 % (3691454)Peak memory usage: 13 MB
% 0.73/0.42 % (3691454)Instructions burned: 157 (million)
% 0.73/0.42 % (3691497)Refutation not found, incomplete strategy
% 0.73/0.42 % (3691497)------------------------------
% 0.73/0.42 % (3691497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (3691497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (3691497)CaDiCaL version: 2.1.3
% 0.73/0.42 % (3691497)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.42 % (3691497)Time elapsed: 0.012 s
% 0.73/0.42 % (3691497)Peak memory usage: 12 MB
% 0.73/0.42 % (3691497)Instructions burned: 49 (million)
% 0.73/0.42 % (3691497)------------------------------
% 0.73/0.42 % (3691497)------------------------------
% 0.73/0.42 % (3691493)Refutation not found, incomplete strategy
% 0.73/0.42 % (3691493)------------------------------
% 0.73/0.42 % (3691493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (3691493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (3691493)CaDiCaL version: 2.1.3
% 0.73/0.42 % (3691493)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.42 % (3691493)Time elapsed: 0.013 s
% 0.73/0.42 % (3691493)Peak memory usage: 13 MB
% 0.73/0.42 % (3691493)Instructions burned: 24 (million)
% 0.73/0.42 % (3691493)------------------------------
% 0.73/0.42 % (3691493)------------------------------
% 0.73/0.42 % (3691506)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3877280245:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.73/0.45 % (3691509)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1889527066:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3691485)Instruction limit reached!
% 0.73/0.45 % (3691485)------------------------------
% 0.73/0.45 % (3691485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691485)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691485)Termination reason: Instruction limit
% 0.73/0.45 % (3691485)Termination phase: Saturation
% 0.73/0.45 % (3691485)Time elapsed: 0.035 s
% 0.73/0.45 % (3691485)Peak memory usage: 11 MB
% 0.73/0.45 % (3691516)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3615626984:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3691485)Instructions burned: 86 (million)
% 0.73/0.45 % (3691509)Instruction limit reached!
% 0.73/0.45 % (3691509)------------------------------
% 0.73/0.45 % (3691509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691509)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691509)Termination reason: Instruction limit
% 0.73/0.45 % (3691509)Termination phase: shuffling
% 0.73/0.45 % (3691509)Time elapsed: 0.007 s
% 0.73/0.45 % (3691509)Peak memory usage: 10 MB
% 0.73/0.45 % (3691509)Instructions burned: 16 (million)
% 0.73/0.45 % (3691516)Instruction limit reached!
% 0.73/0.45 % (3691516)------------------------------
% 0.73/0.45 % (3691516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691516)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691516)Termination reason: Instruction limit
% 0.73/0.45 % (3691516)Termination phase: shuffling
% 0.73/0.45 % (3691516)Time elapsed: 0.004 s
% 0.73/0.45 % (3691516)Peak memory usage: 10 MB
% 0.73/0.45 % (3691516)Instructions burned: 18 (million)
% 0.73/0.45 % (3691513)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4167816451:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.73/0.45 % (3691506)Instruction limit reached!
% 0.73/0.45 % (3691506)------------------------------
% 0.73/0.45 % (3691506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691506)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691506)Termination reason: Instruction limit
% 0.73/0.45 % (3691506)Termination phase: Preprocessing 2
% 0.73/0.45 % (3691506)Time elapsed: 0.012 s
% 0.73/0.45 % (3691506)Peak memory usage: 11 MB
% 0.73/0.45 % (3691506)Instructions burned: 26 (million)
% 0.73/0.45 % (3691517)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2891598751:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.73/0.45 % (3691517)Instruction limit reached!
% 0.73/0.45 % (3691517)------------------------------
% 0.73/0.45 % (3691517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691517)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691517)Termination reason: Instruction limit
% 0.73/0.45 % (3691517)Termination phase: shuffling
% 0.73/0.45 % (3691517)Time elapsed: 0.002 s
% 0.73/0.45 % (3691517)Peak memory usage: 10 MB
% 0.73/0.45 % (3691517)Instructions burned: 4 (million)
% 0.73/0.45 % (3691526)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1256824711:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.73/0.45 % (3691521)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2039040621:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.73/0.45 % (3691528)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.73/0.45 % (3691528)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.73/0.45 % (3691525)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1418693326:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.73/0.45 % (3691528)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=636928875:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.45 % (3691532)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.73/0.45 % (3691526)Instruction limit reached!
% 0.73/0.45 % (3691526)------------------------------
% 0.73/0.45 % (3691526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691526)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691526)Termination reason: Instruction limit
% 0.73/0.45 % (3691526)Termination phase: Property scanning
% 0.73/0.45 % (3691526)Time elapsed: 0.015 s
% 0.73/0.45 % (3691526)Peak memory usage: 12 MB
% 0.73/0.45 % (3691526)Instructions burned: 61 (million)
% 0.73/0.45 % (3691521)Instruction limit reached!
% 0.73/0.45 % (3691521)------------------------------
% 0.73/0.45 % (3691521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691521)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691521)Termination reason: Instruction limit
% 0.73/0.45 % (3691521)Termination phase: Property scanning
% 0.73/0.45 % (3691521)Time elapsed: 0.012 s
% 0.73/0.45 % (3691521)Peak memory usage: 10 MB
% 0.73/0.45 % (3691521)Instructions burned: 28 (million)
% 0.73/0.45 % (3691528)Instruction limit reached!
% 0.73/0.45 % (3691528)------------------------------
% 0.73/0.45 % (3691528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691528)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691528)Termination reason: Instruction limit
% 0.73/0.45 % (3691528)Termination phase: shuffling
% 0.73/0.45 % (3691528)Time elapsed: 0.006 s
% 0.73/0.45 % (3691528)Peak memory usage: 10 MB
% 0.73/0.45 % (3691528)Instructions burned: 14 (million)
% 0.73/0.45 % (3691532)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=609698047:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.73/0.45 % (3691525)Instruction limit reached!
% 0.73/0.45 % (3691525)------------------------------
% 0.73/0.45 % (3691525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691525)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691525)Termination reason: Instruction limit
% 0.73/0.45 % (3691525)Termination phase: Property scanning
% 0.73/0.45 % (3691525)Time elapsed: 0.010 s
% 0.73/0.45 % (3691525)Peak memory usage: 10 MB
% 0.73/0.45 % (3691525)Instructions burned: 24 (million)
% 0.73/0.45 % (3691532)Instruction limit reached!
% 0.73/0.45 % (3691532)------------------------------
% 0.73/0.45 % (3691532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691532)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691532)Termination reason: Instruction limit
% 0.73/0.45 % (3691532)Termination phase: shuffling
% 0.73/0.45 % (3691532)Time elapsed: 0.004 s
% 0.73/0.45 % (3691532)Peak memory usage: 10 MB
% 0.73/0.45 % (3691532)Instructions burned: 8 (million)
% 0.73/0.45 % (3691547)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1748134395:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.73/0.45 % (3691547)Instruction limit reached!
% 0.73/0.45 % (3691547)------------------------------
% 0.73/0.45 % (3691547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691547)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691547)Termination reason: Instruction limit
% 0.73/0.45 % (3691547)Termination phase: Property scanning
% 0.73/0.45 % (3691547)Time elapsed: 0.007 s
% 0.73/0.45 % (3691547)Peak memory usage: 10 MB
% 0.73/0.45 % (3691547)Instructions burned: 34 (million)
% 0.73/0.45 % (3691549)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=366981681:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.73/0.45 % (3691552)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=778109446:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.73/0.45 % (3691554)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3320733478:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.73/0.45 % (3691549)Instruction limit reached!
% 0.73/0.45 % (3691549)------------------------------
% 0.73/0.45 % (3691549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691549)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691549)Termination reason: Instruction limit
% 0.73/0.45 % (3691549)Termination phase: shuffling
% 0.73/0.45 % (3691549)Time elapsed: 0.004 s
% 0.73/0.45 % (3691549)Peak memory usage: 10 MB
% 0.73/0.45 % (3691549)Instructions burned: 9 (million)
% 0.73/0.45 % (3691557)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=949809646:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.73/0.45 % (3691567)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=956520143:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.73/0.45 % (3691554)Instruction limit reached!
% 0.73/0.45 % (3691554)------------------------------
% 0.73/0.45 % (3691554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691554)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691554)Termination reason: Instruction limit
% 0.73/0.45 % (3691554)Termination phase: shuffling
% 0.73/0.45 % (3691554)Time elapsed: 0.009 s
% 0.73/0.45 % (3691554)Peak memory usage: 10 MB
% 0.73/0.45 % (3691554)Instructions burned: 21 (million)
% 0.73/0.45 % (3691552)Instruction limit reached!
% 0.73/0.45 % (3691552)------------------------------
% 0.73/0.45 % (3691552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691552)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691552)Termination reason: Instruction limit
% 0.73/0.45 % (3691552)Termination phase: Property scanning
% 0.73/0.45 % (3691552)Time elapsed: 0.010 s
% 0.73/0.45 % (3691552)Peak memory usage: 10 MB
% 0.73/0.45 % (3691552)Instructions burned: 23 (million)
% 0.73/0.45 % (3691513) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3691431-3691513"...
% 0.73/0.45 % (3691575)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=629305959:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.73/0.45 % (3691513)...printing done.
% 0.73/0.45 % (3691513)Refutation found. Thanks to Tanya!
% 0.73/0.45 % SZS status Theorem for theBenchmark
% 0.73/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.45 % (3691513)------------------------------
% 0.73/0.45 % (3691513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (3691513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (3691513)CaDiCaL version: 2.1.3
% 0.73/0.45 % (3691513)Termination reason: Refutation
% 0.73/0.45 % (3691513)Time elapsed: 0.068 s
% 0.73/0.45 % (3691513)Peak memory usage: 15 MB
% 0.73/0.45 % (3691513)Instructions burned: 151 (million)
% 0.73/0.45 % (3691431)Success in time 0.207 s
% 0.73/0.45 % Vampire exiting
%------------------------------------------------------------------------------