%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG257^1 : 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 : n019.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 07:45:13 AM UTC 2026
% Result : Theorem 1.46s 0.53s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 17
% Syntax : Number of formulae : 154 ( 37 unt; 0 typ; 11 def)
% Number of atoms : 1235 ( 243 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1249 ( 73 ~; 129 |; 0 &; 403 @)
% ( 11 <=>; 578 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 413 ( 409 usr; 194 con; 0-4 aty)
% ( 55 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 164 ( 9 sgn 64 !; 0 ?; 164 :)
% 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,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_131,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_132,type,
vIFF: $o > $o > $o ).
thf(func_def_133,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vNOT: $o > $o ).
thf(func_def_138,type,
vAND: $o > $o > $o ).
thf(func_def_139,type,
sK0: ( term > $o ) > term ).
thf(func_def_140,type,
sK1: ( term > $o ) > term ).
thf(func_def_141,type,
sK2: ( term > $o ) > term ).
thf(func_def_142,type,
sK3: ( term > $o ) > term ).
thf(func_def_143,type,
sK4: term > $o ).
thf(func_def_144,type,
sK5: term > 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 ) > subst ).
thf(func_def_148,type,
sK9: ( subst > term > subst > $o ) > term ).
thf(func_def_149,type,
sK10: ( subst > term > subst > $o ) > term ).
thf(func_def_150,type,
sK11: ( subst > term > subst > $o ) > subst ).
thf(func_def_151,type,
sK12: ( subst > term > subst > $o ) > subst ).
thf(func_def_152,type,
sK13: ( subst > term > subst > $o ) > subst ).
thf(func_def_153,type,
sK14: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
thf(func_def_158,type,
sK19: ( subst > term > subst > $o ) > subst ).
thf(func_def_159,type,
sK20: ( subst > term > subst > $o ) > term ).
thf(func_def_160,type,
sK21: subst > term > subst > $o ).
thf(func_def_161,type,
sK22: term ).
thf(func_def_162,type,
sK23: term ).
thf(func_def_163,type,
sK24: term ).
thf(func_def_164,type,
sK25: term ).
thf(func_def_165,type,
sK26: term ).
thf(func_def_166,type,
sK27: ( term > $o ) > term ).
thf(func_def_167,type,
sK28: term > $o ).
thf(func_def_168,type,
sK29: term ).
thf(func_def_169,type,
sK30: subst ).
thf(func_def_170,type,
sK31: subst ).
thf(func_def_171,type,
sK32: subst ).
thf(func_def_172,type,
sK33: term ).
thf(func_def_173,type,
sK34: term ).
thf(func_def_174,type,
sK35: term ).
thf(func_def_175,type,
sK36: term ).
thf(func_def_176,type,
sK37: ( term > $o ) > term ).
thf(func_def_177,type,
sK38: ( term > $o ) > term ).
thf(func_def_178,type,
sK39: ( term > $o ) > term ).
thf(func_def_179,type,
sK40: ( term > $o ) > subst > term ).
thf(func_def_180,type,
sK41: ( term > $o ) > subst > term ).
thf(func_def_181,type,
sK42: ( term > $o ) > subst > term ).
thf(func_def_182,type,
sK43: ( term > $o ) > subst > term ).
thf(func_def_183,type,
sK44: ( term > $o ) > subst > term ).
thf(func_def_184,type,
sK45: term > $o ).
thf(func_def_185,type,
sK46: term > term ).
thf(func_def_186,type,
sK47: subst ).
thf(func_def_187,type,
sK48: term ).
thf(func_def_188,type,
sK49: term ).
thf(func_def_189,type,
sK50: term ).
thf(func_def_190,type,
sK51: term ).
thf(func_def_191,type,
sK52: subst ).
thf(func_def_192,type,
sK53: subst ).
thf(func_def_193,type,
sK54: subst ).
thf(func_def_194,type,
sK55: term ).
thf(func_def_195,type,
sK56: term ).
thf(func_def_196,type,
sK57: term ).
thf(func_def_197,type,
sK58: term ).
thf(func_def_198,type,
sK59: term ).
thf(func_def_199,type,
sK60: ( subst > term > term ) > term ).
thf(func_def_200,type,
sK61: ( subst > term > term ) > subst ).
thf(func_def_201,type,
sK62: ( subst > term > term ) > subst ).
thf(func_def_202,type,
sK63: ( subst > term > term ) > subst ).
thf(func_def_203,type,
sK64: ( subst > term > term ) > term ).
thf(func_def_204,type,
sK65: ( subst > term > term ) > subst ).
thf(func_def_205,type,
sK66: subst > term > term ).
thf(func_def_206,type,
sK67: subst > term > term ).
thf(func_def_207,type,
sK68: term ).
thf(func_def_208,type,
sK69: subst ).
thf(func_def_209,type,
sK70: subst ).
thf(func_def_210,type,
sK71: term ).
thf(func_def_211,type,
sK72: term ).
thf(func_def_212,type,
sK73: term ).
thf(func_def_213,type,
sK74: term ).
thf(func_def_214,type,
sK75: ( term > $o ) > term ).
thf(func_def_215,type,
sK76: ( term > $o ) > term ).
thf(func_def_216,type,
sK77: ( term > $o ) > term ).
thf(func_def_217,type,
sK78: ( term > $o ) > term ).
thf(func_def_218,type,
sK79: ( term > $o ) > term ).
thf(func_def_219,type,
sK80: ( term > $o ) > term ).
thf(func_def_220,type,
sK81: term > $o ).
thf(func_def_221,type,
sK82: term ).
thf(func_def_222,type,
sK83: ( subst > term > term ) > term ).
thf(func_def_223,type,
sK84: ( subst > term > term ) > subst ).
thf(func_def_224,type,
sK85: ( subst > term > term ) > subst ).
thf(func_def_225,type,
sK86: subst > term > term ).
thf(func_def_226,type,
sK87: term ).
thf(func_def_227,type,
sK88: term ).
thf(func_def_228,type,
sK89: term ).
thf(func_def_229,type,
sK90: 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 ) > term ).
thf(func_def_233,type,
sK94: ( subst > term > subst > $o ) > term ).
thf(func_def_234,type,
sK95: ( subst > term > subst > $o ) > term ).
thf(func_def_235,type,
sK96: ( subst > term > subst > $o ) > subst ).
thf(func_def_236,type,
sK97: ( subst > term > subst > $o ) > subst ).
thf(func_def_237,type,
sK98: ( subst > term > subst > $o ) > term ).
thf(func_def_238,type,
sK99: ( subst > term > subst > $o ) > subst ).
thf(func_def_239,type,
sK100: ( subst > term > subst > $o ) > subst ).
thf(func_def_240,type,
sK101: ( subst > term > subst > $o ) > subst ).
thf(func_def_241,type,
sK102: ( subst > term > subst > $o ) > term ).
thf(func_def_242,type,
sK103: ( subst > term > subst > $o ) > subst ).
thf(func_def_243,type,
sK104: ( subst > term > subst > $o ) > subst ).
thf(func_def_244,type,
sK105: ( subst > term > subst > $o ) > term ).
thf(func_def_245,type,
sK106: ( subst > term > subst > $o ) > subst ).
thf(func_def_246,type,
sK107: ( subst > term > subst > $o ) > subst ).
thf(func_def_247,type,
sK108: subst > term > subst > $o ).
thf(func_def_248,type,
sK109: term ).
thf(func_def_249,type,
sK110: term ).
thf(func_def_250,type,
sK111: ( subst > term > subst > $o ) > subst ).
thf(func_def_251,type,
sK112: ( subst > term > subst > $o ) > subst ).
thf(func_def_252,type,
sK113: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_253,type,
sK114: ( subst > term > subst > $o ) > subst ).
thf(func_def_254,type,
sK115: ( subst > term > subst > $o ) > term ).
thf(func_def_255,type,
sK116: ( subst > term > subst > $o ) > term > term ).
thf(func_def_256,type,
sK117: ( subst > term > subst > $o ) > subst ).
thf(func_def_257,type,
sK118: ( subst > term > subst > $o ) > term ).
thf(func_def_258,type,
sK119: ( subst > term > subst > $o ) > subst ).
thf(func_def_259,type,
sK120: ( subst > term > subst > $o ) > subst ).
thf(func_def_260,type,
sK121: ( subst > term > subst > $o ) > subst ).
thf(func_def_261,type,
sK122: ( subst > term > subst > $o ) > subst ).
thf(func_def_262,type,
sK123: ( subst > term > subst > $o ) > subst ).
thf(func_def_263,type,
sK124: ( subst > term > subst > $o ) > term > term ).
thf(func_def_264,type,
sK125: ( subst > term > subst > $o ) > term ).
thf(func_def_265,type,
sK126: ( subst > term > subst > $o ) > term ).
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 ) > term ).
thf(func_def_273,type,
sK134: ( subst > term > subst > $o ) > term > term ).
thf(func_def_274,type,
sK135: ( subst > term > subst > $o ) > subst ).
thf(func_def_275,type,
sK136: ( subst > term > subst > $o ) > term ).
thf(func_def_276,type,
sK137: ( subst > term > subst > $o ) > subst ).
thf(func_def_277,type,
sK138: ( subst > term > subst > $o ) > subst ).
thf(func_def_278,type,
sK139: ( subst > term > subst > $o ) > subst ).
thf(func_def_279,type,
sK140: ( subst > term > subst > $o ) > subst ).
thf(func_def_280,type,
sK141: subst > term > subst > $o ).
thf(func_def_281,type,
sK142: ( subst > term > term ) > term ).
thf(func_def_282,type,
sK143: ( subst > term > term ) > term ).
thf(func_def_283,type,
sK144: ( subst > term > term ) > subst ).
thf(func_def_284,type,
sK145: ( subst > term > term ) > subst ).
thf(func_def_285,type,
sK146: ( subst > term > term ) > subst ).
thf(func_def_286,type,
sK147: term ).
thf(func_def_287,type,
sK148: subst ).
thf(func_def_288,type,
sK149: subst ).
thf(func_def_289,type,
sK150: term ).
thf(func_def_290,type,
sK151: term ).
thf(func_def_291,type,
sK152: term ).
thf(func_def_292,type,
sK153: term ).
thf(func_def_293,type,
sK154: term ).
thf(func_def_294,type,
sK155: term ).
thf(func_def_295,type,
sK156: term ).
thf(func_def_296,type,
sK157: term ).
thf(func_def_297,type,
sK158: subst ).
thf(func_def_298,type,
sK159: term ).
thf(func_def_299,type,
sK160: ( subst > term > subst > $o ) > subst ).
thf(func_def_300,type,
sK161: ( subst > term > subst > $o ) > subst ).
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 ) > subst > term > term ).
thf(func_def_304,type,
sK165: ( subst > term > subst > $o ) > term ).
thf(func_def_305,type,
sK166: ( subst > term > subst > $o ) > subst ).
thf(func_def_306,type,
sK167: ( subst > term > subst > $o ) > term ).
thf(func_def_307,type,
sK168: ( subst > term > subst > $o ) > term ).
thf(func_def_308,type,
sK169: ( subst > term > subst > $o ) > subst ).
thf(func_def_309,type,
sK170: ( subst > term > subst > $o ) > subst ).
thf(func_def_310,type,
sK171: ( subst > term > subst > $o ) > subst ).
thf(func_def_311,type,
sK172: ( subst > term > subst > $o ) > subst ).
thf(func_def_312,type,
sK173: ( subst > term > subst > $o ) > subst ).
thf(func_def_313,type,
sK174: ( subst > term > subst > $o ) > subst ).
thf(func_def_314,type,
sK175: ( subst > term > subst > $o ) > subst ).
thf(func_def_315,type,
sK176: ( subst > term > subst > $o ) > subst ).
thf(func_def_316,type,
sK177: ( subst > term > subst > $o ) > term ).
thf(func_def_317,type,
sK178: ( subst > term > subst > $o ) > term ).
thf(func_def_318,type,
sK179: ( subst > term > subst > $o ) > subst ).
thf(func_def_319,type,
sK180: ( subst > term > subst > $o ) > subst ).
thf(func_def_320,type,
sK181: ( subst > term > subst > $o ) > subst ).
thf(func_def_321,type,
sK182: ( subst > term > subst > $o ) > term ).
thf(func_def_322,type,
sK183: ( subst > term > subst > $o ) > subst ).
thf(func_def_323,type,
sK184: ( subst > term > subst > $o ) > subst ).
thf(func_def_324,type,
sK185: ( subst > term > subst > $o ) > subst ).
thf(func_def_325,type,
sK186: ( subst > term > subst > $o ) > subst ).
thf(func_def_326,type,
sK187: ( subst > term > subst > $o ) > subst ).
thf(func_def_327,type,
sK188: ( subst > term > subst > $o ) > subst ).
thf(func_def_328,type,
sK189: ( subst > term > subst > $o ) > subst ).
thf(func_def_329,type,
sK190: ( subst > term > subst > $o ) > term ).
thf(func_def_330,type,
sK191: ( subst > term > subst > $o ) > term ).
thf(func_def_331,type,
sK192: ( subst > term > subst > $o ) > subst ).
thf(func_def_332,type,
sK193: ( subst > term > subst > $o ) > subst ).
thf(func_def_333,type,
sK194: ( subst > term > subst > $o ) > subst ).
thf(func_def_334,type,
sK195: ( subst > term > subst > $o ) > subst ).
thf(func_def_335,type,
sK196: ( subst > term > subst > $o ) > subst ).
thf(func_def_336,type,
sK197: ( subst > term > subst > $o ) > subst ).
thf(func_def_337,type,
sK198: ( subst > term > subst > $o ) > subst ).
thf(func_def_338,type,
sK199: ( subst > term > subst > $o ) > term ).
thf(func_def_339,type,
sK200: ( subst > term > subst > $o ) > subst ).
thf(func_def_340,type,
sK201: ( subst > term > subst > $o ) > subst ).
thf(func_def_341,type,
sK202: ( subst > term > subst > $o ) > subst ).
thf(func_def_342,type,
sK203: ( subst > term > subst > $o ) > subst ).
thf(func_def_343,type,
sK204: ( subst > term > subst > $o ) > subst ).
thf(func_def_344,type,
sK205: ( subst > term > subst > $o ) > subst ).
thf(func_def_345,type,
sK206: ( subst > term > subst > $o ) > subst ).
thf(func_def_346,type,
sK207: ( subst > term > subst > $o ) > subst ).
thf(func_def_347,type,
sK208: ( subst > term > subst > $o ) > subst ).
thf(func_def_348,type,
sK209: ( subst > term > subst > $o ) > term ).
thf(func_def_349,type,
sK210: ( subst > term > subst > $o ) > subst ).
thf(func_def_350,type,
sK211: ( subst > term > subst > $o ) > subst ).
thf(func_def_351,type,
sK212: ( subst > term > subst > $o ) > subst ).
thf(func_def_352,type,
sK213: ( subst > term > subst > $o ) > subst ).
thf(func_def_353,type,
sK214: ( subst > term > subst > $o ) > subst ).
thf(func_def_354,type,
sK215: ( subst > term > subst > $o ) > subst ).
thf(func_def_355,type,
sK216: ( subst > term > subst > $o ) > term ).
thf(func_def_356,type,
sK217: ( subst > term > subst > $o ) > subst ).
thf(func_def_357,type,
sK218: ( subst > term > subst > $o ) > subst ).
thf(func_def_358,type,
sK219: ( subst > term > subst > $o ) > subst ).
thf(func_def_359,type,
sK220: ( subst > term > subst > $o ) > subst ).
thf(func_def_360,type,
sK221: ( subst > term > subst > $o ) > term ).
thf(func_def_361,type,
sK222: ( subst > term > subst > $o ) > subst ).
thf(func_def_362,type,
sK223: ( subst > term > subst > $o ) > subst ).
thf(func_def_363,type,
sK224: ( subst > term > subst > $o ) > term ).
thf(func_def_364,type,
sK225: ( subst > term > subst > $o ) > subst ).
thf(func_def_365,type,
sK226: ( subst > term > subst > $o ) > subst ).
thf(func_def_366,type,
sK227: subst > term > subst > $o ).
thf(func_def_367,type,
sK228: ( subst > term > term ) > subst ).
thf(func_def_368,type,
sK229: ( subst > term > term ) > term ).
thf(func_def_369,type,
sK230: ( subst > term > term ) > subst ).
thf(func_def_370,type,
sK231: ( subst > term > term ) > term ).
thf(func_def_371,type,
sK232: ( subst > term > term ) > subst ).
thf(func_def_372,type,
sK233: ( subst > term > term ) > term ).
thf(func_def_373,type,
sK234: term ).
thf(func_def_374,type,
sK235: term ).
thf(func_def_375,type,
sK236: subst ).
thf(func_def_376,type,
sK237: subst ).
thf(func_def_377,type,
sK238: subst ).
thf(func_def_378,type,
sK239: term ).
thf(func_def_379,type,
sK240: term ).
thf(func_def_380,type,
sK241: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_381,type,
sK242: ( subst > term > subst > $o ) > term > term ).
thf(func_def_382,type,
sK243: ( subst > term > subst > $o ) > term > term ).
thf(func_def_383,type,
sK244: ( subst > term > subst > $o ) > term > term ).
thf(func_def_384,type,
sK245: subst > term > subst > $o ).
thf(func_def_385,type,
sK246: ( subst > term > term ) > subst ).
thf(func_def_386,type,
sK247: ( subst > term > term ) > term ).
thf(func_def_387,type,
sK248: ( subst > term > term ) > subst ).
thf(func_def_388,type,
sK249: ( subst > term > term ) > term ).
thf(func_def_389,type,
sK250: ( subst > term > term ) > term ).
thf(func_def_390,type,
sK251: term ).
thf(func_def_391,type,
sK252: term ).
thf(func_def_392,type,
sK253: ( term > $o ) > subst > term ).
thf(func_def_393,type,
sK254: subst ).
thf(func_def_394,type,
sK255: term ).
thf(func_def_395,type,
sK256: term > $o ).
thf(func_def_396,type,
sK257: term ).
thf(func_def_397,type,
sK258: term ).
thf(func_def_398,type,
sK259: term ).
thf(func_def_399,type,
sK260: term ).
thf(f3,axiom,
( axvarid
= ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f17,axiom,
! [X2: term,X1: term,X0: term,X3: term] :
( ( ( ( ap @ X0 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( X2 = X3 ) )
= apinj2 ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apinj2) ).
thf(f55,axiom,
( ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) )
= hoasap ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f61,axiom,
( hoasapinj2
= ( ! [X2: term,X1: term,X3: term,X0: term] :
( ( ( hoasap @ id @ X0 @ id @ X2 )
= ( hoasap @ id @ X1 @ id @ X3 ) )
=> ( X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj2) ).
thf(f62,axiom,
( axapp
=> ( ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= hoasapinj2_gthm ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj2_gthm) ).
thf(f114,conjecture,
hoasapinj2_gthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasapinj2_gthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f124,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f179,plain,
~ hoasapinj2_gthm,
inference(rectify,[],[f115]) ).
thf(f180,plain,
hoasapinj2_gthm != $true,
inference(fool_elimination,[],[f179]) ).
thf(f195,plain,
! [X0: term,X1: term,X2: term,X3: term] :
( ( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X0 ) )
=> ( X0 = X3 ) )
= apinj2 ),
inference(rectify,[],[f17]) ).
thf(f196,plain,
( apinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y3 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f195]) ).
thf(f220,plain,
( axapp
=> ( ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= hoasapinj2_gthm ) ),
inference(rectify,[],[f62]) ).
thf(f221,plain,
( hoasapinj2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f220]) ).
thf(f286,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f299,plain,
( hoasapinj2
= ( ! [X0: term,X1: term,X2: term,X3: term] :
( ( ( hoasap @ id @ X1 @ id @ X2 )
= ( hoasap @ id @ X3 @ id @ X0 ) )
=> ( X0 = X2 ) ) ) ),
inference(rectify,[],[f61]) ).
thf(f300,plain,
( hoasapinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y2 @ id @ Y1 )
= ( hoasap @ id @ Y0 @ id @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f299]) ).
thf(f319,plain,
hoasapinj2_gthm != $true,
inference(flattening,[],[f180]) ).
thf(f320,plain,
( apinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y3 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f196]) ).
thf(f330,plain,
hoasapinj2_gthm != $true,
inference(cnf_transformation,[],[f319]) ).
thf(f332,plain,
( hoasapinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y2 @ id @ Y1 )
= ( hoasap @ id @ Y0 @ id @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f300]) ).
thf(f342,plain,
( hoasapinj2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f221]) ).
thf(f346,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f353,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f286]) ).
thf(f368,plain,
( hoasapinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f332,f353,f353]) ).
thf(f517,plain,
( ( hoasapinj2 = $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f368]) ).
thf(f530,plain,
( ( $false
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) )
@ sK23 ) )
| ( hoasapinj2 = $true ) ),
inference(sigma_proxy_clausification,[],[f517]) ).
thf(f531,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
= ( ap @ ( sub @ sK23 @ id ) @ Y2 ) )
=> ( Y2 = Y0 ) ) ) ) ) )
| ( hoasapinj2 = $true ) ),
inference(beta-eta_normalization,[],[f530]) ).
thf(f532,plain,
( ( hoasapinj2 = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
= ( ap @ ( sub @ sK23 @ id ) @ Y2 ) )
=> ( Y2 = Y0 ) ) ) )
@ sK24 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f531]) ).
thf(f533,plain,
( ( hoasapinj2 = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ Y1 ) )
=> ( Y1 = sK24 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f532]) ).
thf(f534,plain,
( ( hoasapinj2 = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ Y1 ) )
=> ( Y1 = sK24 ) ) )
@ sK25 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f533]) ).
thf(f535,plain,
( ( hoasapinj2 = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ ( sub @ sK25 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ Y0 ) )
=> ( Y0 = sK24 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f534]) ).
thf(f536,plain,
( ( ( ^ [Y0: term] :
( ( ( ap @ ( sub @ sK25 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ Y0 ) )
=> ( Y0 = sK24 ) )
@ sK26 )
= $false )
| ( hoasapinj2 = $true ) ),
inference(sigma_proxy_clausification,[],[f535]) ).
thf(f537,plain,
( ( ( ( ( ap @ ( sub @ sK25 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ sK26 ) )
=> ( sK26 = sK24 ) )
= $false )
| ( hoasapinj2 = $true ) ),
inference(beta-eta_normalization,[],[f536]) ).
thf(f538,plain,
( ( ( sK26 = sK24 )
= $false )
| ( hoasapinj2 = $true ) ),
inference(imp_proxy_clausification,[],[f537]) ).
thf(f539,plain,
( ( ( ( ap @ ( sub @ sK25 @ id ) @ sK24 )
= ( ap @ ( sub @ sK23 @ id ) @ sK26 ) )
= $true )
| ( hoasapinj2 = $true ) ),
inference(imp_proxy_clausification,[],[f537]) ).
thf(f540,plain,
( ( hoasapinj2 = $true )
| ( ( ap @ ( sub @ sK23 @ id ) @ sK26 )
= ( ap @ ( sub @ sK25 @ id ) @ sK24 ) ) ),
inference(equality_proxy_clausification,[],[f539]) ).
thf(f541,plain,
( ( sK26 != sK24 )
| ( hoasapinj2 = $true ) ),
inference(equality_proxy_clausification,[],[f538]) ).
thf(f588,plain,
( ( hoasapinj2_gthm = $true )
| ( ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f342]) ).
thf(f619,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f588]) ).
thf(f621,plain,
( ( ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f619]) ).
thf(f623,plain,
( ( $false
= ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f621]) ).
thf(f624,plain,
( ( axvarid = $true )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f621]) ).
thf(f625,plain,
( ( hoasapinj2_gthm = $true )
| ( ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f623]) ).
thf(f627,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f625]) ).
thf(f629,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f627]) ).
thf(f631,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f629]) ).
thf(f633,plain,
( ( ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f631]) ).
thf(f635,plain,
( ( ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f633]) ).
thf(f637,plain,
( ( $false
= ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f635]) ).
thf(f639,plain,
( ( $false
= ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f637]) ).
thf(f641,plain,
( ( hoasapinj2_gthm = $true )
| ( ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f639]) ).
thf(f643,plain,
( ( ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f641]) ).
thf(f645,plain,
( ( hoasapinj2_gthm = $true )
| ( ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f643]) ).
thf(f647,plain,
( ( hoasapinj2_gthm = $true )
| ( ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f645]) ).
thf(f649,plain,
( ( $false
= ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f647]) ).
thf(f651,plain,
( ( hoasapinj2_gthm = $true )
| ( ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f649]) ).
thf(f652,plain,
( ( hoasapinj2_gthm = $true )
| ( apinj2 = $true ) ),
inference(imp_proxy_clausification,[],[f649]) ).
thf(f653,plain,
( ( hoasapinj2_gthm = $true )
| ( ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f651]) ).
thf(f655,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f653]) ).
thf(f657,plain,
( ( ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f655]) ).
thf(f659,plain,
( ( hoasapinj2_gthm = $true )
| ( ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f657]) ).
thf(f661,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f659]) ).
thf(f663,plain,
( ( hoasapinj2_gthm = $true )
| ( ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f661]) ).
thf(f665,plain,
( ( hoasapinj2_gthm = $true )
| ( ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f663]) ).
thf(f667,plain,
( ( $false
= ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f665]) ).
thf(f669,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f667]) ).
thf(f671,plain,
( ( ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) )
= $false )
| ( hoasapinj2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f669]) ).
thf(f673,plain,
( ( hoasapinj2_gthm = $true )
| ( $false
= ( hoasapinj1
=> hoasapinj2 ) ) ),
inference(imp_proxy_clausification,[],[f671]) ).
thf(f675,plain,
( ( hoasapinj2_gthm = $true )
| ( hoasapinj2 = $false ) ),
inference(imp_proxy_clausification,[],[f673]) ).
thf(f834,plain,
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y3 = Y0 ) ) ) ) ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f320]) ).
thf(f835,plain,
! [X1: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y3 = Y0 ) ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f834]) ).
thf(f836,plain,
! [X1: term] :
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y1 @ X1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y2 = X1 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f835]) ).
thf(f837,plain,
! [X2: term,X1: term] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y1 @ X1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y2 = X1 ) ) ) )
@ X2 )
= $true )
| ( apinj2 = $false ) ),
inference(pi_proxy_clausification,[],[f836]) ).
thf(f838,plain,
! [X2: term,X1: term] :
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y0 @ X1 )
= ( ap @ X2 @ Y1 ) )
=> ( Y1 = X1 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f837]) ).
thf(f839,plain,
! [X2: term,X3: term,X1: term] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y0 @ X1 )
= ( ap @ X2 @ Y1 ) )
=> ( Y1 = X1 ) ) )
@ X3 )
= $true )
| ( apinj2 = $false ) ),
inference(pi_proxy_clausification,[],[f838]) ).
thf(f840,plain,
! [X2: term,X3: term,X1: term] :
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ X3 @ X1 )
= ( ap @ X2 @ Y0 ) )
=> ( Y0 = X1 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f839]) ).
thf(f841,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( ( ( ap @ X3 @ X1 )
= ( ap @ X2 @ Y0 ) )
=> ( Y0 = X1 ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f840]) ).
thf(f842,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj2 = $false )
| ( ( ( ( ap @ X3 @ X1 )
= ( ap @ X2 @ X4 ) )
=> ( X4 = X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f841]) ).
thf(f843,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj2 = $false )
| ( ( ( ap @ X3 @ X1 )
= ( ap @ X2 @ X4 ) )
= $false )
| ( ( X4 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f842]) ).
thf(f844,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( X4 = X1 )
= $true )
| ( ( ap @ X3 @ X1 )
!= ( ap @ X2 @ X4 ) )
| ( apinj2 = $false ) ),
inference(equality_proxy_clausification,[],[f843]) ).
thf(f845,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj2 = $false )
| ( ( ap @ X3 @ X1 )
!= ( ap @ X2 @ X4 ) )
| ( X1 = X4 ) ),
inference(equality_proxy_clausification,[],[f844]) ).
thf(f1885,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true )
| ( axvarid = $false ) ),
inference(iff_proxy_clausification,[],[f346]) ).
thf(f1886,plain,
! [X1: term] :
( ( ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 )
= $true )
| ( axvarid = $false ) ),
inference(pi_proxy_clausification,[],[f1885]) ).
thf(f1887,plain,
! [X1: term] :
( ( $true
= ( ( sub @ X1 @ id )
= X1 ) )
| ( axvarid = $false ) ),
inference(beta-eta_normalization,[],[f1886]) ).
thf(f1888,plain,
! [X1: term] :
( ( ( sub @ X1 @ id )
= X1 )
| ( axvarid = $false ) ),
inference(equality_proxy_clausification,[],[f1887]) ).
thf(f2049,definition,
( spl261_35
<=> ( hoasapinj2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl261_35])],[avatar_definition]) ).
thf(f2051,plain,
( ( hoasapinj2 = $false )
| ~ spl261_35 ),
inference(avatar_component_clause,[],[f2049]) ).
thf(f2057,definition,
( spl261_37
<=> ( ( ap @ ( sub @ sK23 @ id ) @ sK26 )
= ( ap @ ( sub @ sK25 @ id ) @ sK24 ) ) ),
introduced(definition,[new_symbols(definition,[spl261_37])],[avatar_definition]) ).
thf(f2059,plain,
( ( ( ap @ ( sub @ sK23 @ id ) @ sK26 )
= ( ap @ ( sub @ sK25 @ id ) @ sK24 ) )
| ~ spl261_37 ),
inference(avatar_component_clause,[],[f2057]) ).
thf(f2061,definition,
( spl261_38
<=> ( hoasapinj2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl261_38])],[avatar_definition]) ).
thf(f2063,plain,
( ( hoasapinj2 = $true )
| ~ spl261_38 ),
inference(avatar_component_clause,[],[f2061]) ).
thf(f2064,plain,
( spl261_37
| spl261_38 ),
inference(avatar_split_clause,[],[f540,f2061,f2057]) ).
thf(f2066,definition,
( spl261_39
<=> ( sK26 = sK24 ) ),
introduced(definition,[new_symbols(definition,[spl261_39])],[avatar_definition]) ).
thf(f2068,plain,
( ( sK26 != sK24 )
| spl261_39 ),
inference(avatar_component_clause,[],[f2066]) ).
thf(f2069,plain,
( spl261_38
| ~ spl261_39 ),
inference(avatar_split_clause,[],[f541,f2066,f2061]) ).
thf(f2135,definition,
( spl261_55
<=> ( axvarid = $false ) ),
introduced(definition,[new_symbols(definition,[spl261_55])],[avatar_definition]) ).
thf(f2137,plain,
( ( axvarid = $false )
| ~ spl261_55 ),
inference(avatar_component_clause,[],[f2135]) ).
thf(f2219,definition,
( spl261_76
<=> ( apinj2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl261_76])],[avatar_definition]) ).
thf(f2221,plain,
( ( apinj2 = $false )
| ~ spl261_76 ),
inference(avatar_component_clause,[],[f2219]) ).
thf(f2236,definition,
( spl261_80
<=> ( hoasapinj2_gthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl261_80])],[avatar_definition]) ).
thf(f2250,definition,
( spl261_83
<=> ( axvarid = $true ) ),
introduced(definition,[new_symbols(definition,[spl261_83])],[avatar_definition]) ).
thf(f2252,plain,
( ( axvarid = $true )
| ~ spl261_83 ),
inference(avatar_component_clause,[],[f2250]) ).
thf(f2253,plain,
( spl261_83
| spl261_80 ),
inference(avatar_split_clause,[],[f624,f2236,f2250]) ).
thf(f2312,definition,
( spl261_95
<=> ( apinj2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl261_95])],[avatar_definition]) ).
thf(f2314,plain,
( ( apinj2 = $true )
| ~ spl261_95 ),
inference(avatar_component_clause,[],[f2312]) ).
thf(f2315,plain,
( spl261_95
| spl261_80 ),
inference(avatar_split_clause,[],[f652,f2236,f2312]) ).
thf(f2372,plain,
( spl261_80
| spl261_35 ),
inference(avatar_split_clause,[],[f675,f2049,f2236]) ).
thf(f2517,definition,
( spl261_140
<=> ! [X4: term,X3: term,X2: term,X1: term] :
( ( ( ap @ X3 @ X1 )
!= ( ap @ X2 @ X4 ) )
| ( X1 = X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl261_140])],[avatar_definition]) ).
thf(f2518,plain,
( ! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X3 @ X1 )
!= ( ap @ X2 @ X4 ) )
| ( X1 = X4 ) )
| ~ spl261_140 ),
inference(avatar_component_clause,[],[f2517]) ).
thf(f2519,plain,
( spl261_76
| spl261_140 ),
inference(avatar_split_clause,[],[f845,f2517,f2219]) ).
thf(f2917,plain,
~ spl261_80,
inference(avatar_split_clause,[],[f330,f2236]) ).
thf(f3384,definition,
( spl261_349
<=> ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl261_349])],[avatar_definition]) ).
thf(f3385,plain,
( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
| ~ spl261_349 ),
inference(avatar_component_clause,[],[f3384]) ).
thf(f3386,plain,
( spl261_55
| spl261_349 ),
inference(avatar_split_clause,[],[f1888,f3384,f2135]) ).
thf(f3414,plain,
( ( $false = $true )
| ~ spl261_55
| ~ spl261_83 ),
inference(forward_demodulation,[],[f2252,f2137]) ).
thf(f3415,plain,
( $false
| ~ spl261_55
| ~ spl261_83 ),
inference(trivial_inequality_removal,[],[f3414]) ).
thf(f3416,plain,
( ~ spl261_55
| ~ spl261_83 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
thf(f3462,plain,
( ( $false = $true )
| ~ spl261_76
| ~ spl261_95 ),
inference(forward_demodulation,[],[f2314,f2221]) ).
thf(f3463,plain,
( $false
| ~ spl261_76
| ~ spl261_95 ),
inference(trivial_inequality_removal,[],[f3462]) ).
thf(f3464,plain,
( ~ spl261_76
| ~ spl261_95 ),
inference(avatar_contradiction_clause,[],[f3463]) ).
thf(f3879,plain,
( ( ( ap @ ( sub @ sK23 @ id ) @ sK26 )
= ( ap @ sK25 @ sK24 ) )
| ~ spl261_37
| ~ spl261_349 ),
inference(forward_demodulation,[],[f2059,f3385]) ).
thf(f3880,plain,
( ( ( ap @ sK25 @ sK24 )
= ( ap @ sK23 @ sK26 ) )
| ~ spl261_37
| ~ spl261_349 ),
inference(forward_demodulation,[],[f3879,f3385]) ).
thf(f3882,plain,
( ! [X0: term,X1: term] :
( ( ( ap @ X0 @ X1 )
!= ( ap @ sK23 @ sK26 ) )
| ( sK24 = X1 ) )
| ~ spl261_37
| ~ spl261_140
| ~ spl261_349 ),
inference(superposition,[],[f2518,f3880]) ).
thf(f4012,plain,
( ( sK26 = sK24 )
| ~ spl261_37
| ~ spl261_140
| ~ spl261_349 ),
inference(equality_resolution,[],[f3882]) ).
thf(f4013,plain,
( $false
| ~ spl261_37
| spl261_39
| ~ spl261_140
| ~ spl261_349 ),
inference(forward_subsumption_resolution,[],[f4012,f2068]) ).
thf(f4014,plain,
( ~ spl261_37
| spl261_39
| ~ spl261_140
| ~ spl261_349 ),
inference(avatar_contradiction_clause,[],[f4013]) ).
thf(f4015,plain,
( ( $false = $true )
| ~ spl261_35
| ~ spl261_38 ),
inference(forward_demodulation,[],[f2063,f2051]) ).
thf(f4016,plain,
( $false
| ~ spl261_35
| ~ spl261_38 ),
inference(trivial_inequality_removal,[],[f4015]) ).
thf(f4017,plain,
( ~ spl261_35
| ~ spl261_38 ),
inference(avatar_contradiction_clause,[],[f4016]) ).
cnf(s32,plain,
( spl261_37
| spl261_38 ),
inference(sat_conversion,[],[f2064]) ).
cnf(s33,plain,
( spl261_38
| ~ spl261_39 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s46,plain,
( spl261_80
| spl261_83 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s60,plain,
( spl261_80
| spl261_95 ),
inference(sat_conversion,[],[f2315]) ).
cnf(s73,plain,
( spl261_35
| spl261_80 ),
inference(sat_conversion,[],[f2372]) ).
cnf(s106,plain,
( spl261_76
| spl261_140 ),
inference(sat_conversion,[],[f2519]) ).
cnf(s194,plain,
~ spl261_80,
inference(sat_conversion,[],[f2917]) ).
cnf(s304,plain,
( spl261_55
| spl261_349 ),
inference(sat_conversion,[],[f3386]) ).
cnf(s311,plain,
( ~ spl261_55
| ~ spl261_83 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s323,plain,
( ~ spl261_76
| ~ spl261_95 ),
inference(sat_conversion,[],[f3464]) ).
cnf(s349,plain,
( ~ spl261_37
| spl261_39
| ~ spl261_140
| ~ spl261_349 ),
inference(sat_conversion,[],[f4014]) ).
cnf(s350,plain,
( ~ spl261_35
| ~ spl261_38 ),
inference(sat_conversion,[],[f4017]) ).
cnf(s352,plain,
spl261_35,
inference(rat,[],[s73,s194]) ).
cnf(s353,plain,
~ spl261_38,
inference(rat,[],[s350,s352]) ).
cnf(s407,plain,
spl261_95,
inference(rat,[],[s60,s194]) ).
cnf(s408,plain,
~ spl261_76,
inference(rat,[],[s323,s407]) ).
cnf(s409,plain,
spl261_140,
inference(rat,[],[s106,s408]) ).
cnf(s447,plain,
spl261_83,
inference(rat,[],[s46,s194]) ).
cnf(s448,plain,
~ spl261_55,
inference(rat,[],[s311,s447]) ).
cnf(s449,plain,
spl261_349,
inference(rat,[],[s304,s448]) ).
cnf(s462,plain,
~ spl261_39,
inference(rat,[],[s33,s353]) ).
cnf(s463,plain,
~ spl261_37,
inference(rat,[],[s349,s449,s409,s462]) ).
cnf(s464,plain,
$false,
inference(rat,[],[s32,s353,s463]) ).
thf(f4020,plain,
$false,
inference(avatar_sat_refutation,[],[s464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG257^1 : 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 : n019.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 17:33:03 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.26 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
% 0.24/0.39 % (1124425)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.39 % (1124434)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1274286531:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.39 % (1124436)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.39 % (1124436)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
% 0.24/0.39 % (1124434)Instruction limit reached!
% 0.24/0.39 % (1124434)------------------------------
% 0.24/0.39 % (1124434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.39 % (1124434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.39 % (1124434)CaDiCaL version: 2.1.3
% 0.24/0.39 % (1124434)Termination reason: Instruction limit
% 0.24/0.39 % (1124434)Termination phase: Naming
% 0.24/0.39 % (1124434)Time elapsed: 0.006 s
% 0.24/0.39 % (1124434)Peak memory usage: 11 MB
% 0.24/0.39 % (1124434)Instructions burned: 26 (million)
% 0.24/0.39 % (1124430)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1091116750:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.39 % (1124431)lrs+10_16_si=on:nwc=1.5:random_seed=3894410595:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.39 % (1124432)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=79098966:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.39 % (1124435)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2096255724:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.24/0.39 % (1124433)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=2389814654: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)
% 0.24/0.39 % (1124436)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=2912800121:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.39 % (1124432)Instruction limit reached!
% 0.24/0.39 % (1124432)------------------------------
% 0.24/0.39 % (1124432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.39 % (1124432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.39 % (1124432)CaDiCaL version: 2.1.3
% 0.24/0.39 % (1124432)Termination reason: Instruction limit
% 0.24/0.39 % (1124432)Termination phase: shuffling
% 0.24/0.39 % (1124432)Time elapsed: 0.002 s
% 0.24/0.39 % (1124432)Peak memory usage: 10 MB
% 0.24/0.39 % (1124432)Instructions burned: 3 (million)
% 0.24/0.39 % (1124431)Instruction limit reached!
% 0.24/0.39 % (1124431)------------------------------
% 0.24/0.39 % (1124431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.39 % (1124431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.39 % (1124431)CaDiCaL version: 2.1.3
% 0.24/0.39 % (1124431)Termination reason: Instruction limit
% 0.24/0.39 % (1124431)Termination phase: shuffling
% 0.24/0.39 % (1124431)Time elapsed: 0.008 s
% 0.24/0.39 % (1124431)Peak memory usage: 10 MB
% 0.24/0.39 % (1124431)Instructions burned: 19 (million)
% 0.24/0.39 % (1124441)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=526748917:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.24/0.39 % (1124441)Instruction limit reached!
% 0.24/0.39 % (1124441)------------------------------
% 0.24/0.39 % (1124441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.39 % (1124441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.39 % (1124441)CaDiCaL version: 2.1.3
% 0.24/0.39 % (1124441)Termination reason: Instruction limit
% 0.24/0.39 % (1124441)Termination phase: shuffling
% 0.24/0.39 % (1124441)Time elapsed: 0.003 s
% 0.24/0.39 % (1124441)Peak memory usage: 10 MB
% 0.24/0.39 % (1124441)Instructions burned: 13 (million)
% 0.24/0.39 % (1124445)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3400808644:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.87/0.42 % (1124446)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.42 % (1124448)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=378274137:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.87/0.42 % (1124445)Instruction limit reached!
% 0.87/0.42 % (1124445)------------------------------
% 0.87/0.42 % (1124445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (1124445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (1124445)CaDiCaL version: 2.1.3
% 0.87/0.42 % (1124445)Termination reason: Instruction limit
% 0.87/0.42 % (1124445)Termination phase: shuffling
% 0.87/0.42 % (1124445)Time elapsed: 0.003 s
% 0.87/0.42 % (1124445)Peak memory usage: 10 MB
% 0.87/0.42 % (1124445)Instructions burned: 6 (million)
% 0.87/0.42 % (1124448)Instruction limit reached!
% 0.87/0.42 % (1124448)------------------------------
% 0.87/0.42 % (1124448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (1124448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (1124446)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=469422101:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.87/0.42 % (1124448)CaDiCaL version: 2.1.3
% 0.87/0.42 % (1124448)Termination reason: Instruction limit
% 0.87/0.42 % (1124448)Termination phase: shuffling
% 0.87/0.42 % (1124448)Time elapsed: 0.003 s
% 0.87/0.42 % (1124448)Peak memory usage: 10 MB
% 0.87/0.42 % (1124448)Instructions burned: 13 (million)
% 0.87/0.42 % (1124446)Instruction limit reached!
% 0.87/0.42 % (1124446)------------------------------
% 0.87/0.42 % (1124446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (1124446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (1124446)CaDiCaL version: 2.1.3
% 0.87/0.42 % (1124446)Termination reason: Instruction limit
% 0.87/0.42 % (1124446)Termination phase: shuffling
% 0.87/0.42 % (1124446)Time elapsed: 0.004 s
% 0.87/0.42 % (1124446)Peak memory usage: 10 MB
% 0.87/0.42 % (1124446)Instructions burned: 8 (million)
% 0.87/0.42 % (1124435)Instruction limit reached!
% 0.87/0.42 % (1124435)------------------------------
% 0.87/0.42 % (1124435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (1124435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (1124435)CaDiCaL version: 2.1.3
% 0.87/0.42 % (1124435)Termination reason: Instruction limit
% 0.87/0.42 % (1124435)Termination phase: Property scanning
% 0.87/0.42 % (1124435)Time elapsed: 0.035 s
% 0.87/0.42 % (1124435)Peak memory usage: 12 MB
% 0.87/0.42 % (1124435)Instructions burned: 78 (million)
% 0.87/0.42 % (1124458)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=4218691633:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.87/0.42 % (1124430)Instruction limit reached!
% 0.87/0.42 % (1124430)------------------------------
% 0.87/0.42 % (1124430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (1124430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (1124430)CaDiCaL version: 2.1.3
% 0.87/0.42 % (1124430)Termination reason: Instruction limit
% 0.87/0.42 % (1124430)Termination phase: Function definition elimination
% 0.87/0.42 % (1124430)Time elapsed: 0.039 s
% 0.87/0.42 % (1124430)Peak memory usage: 12 MB
% 0.87/0.42 % (1124430)Instructions burned: 87 (million)
% 0.87/0.42 % (1124454)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
% 0.87/0.42 % (1124454)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.42 % (1124454)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3473994280:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.87/0.42 % (1124463)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.87/0.44 % (1124463)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=3000844025:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.44 % (1124454)Instruction limit reached!
% 0.87/0.44 % (1124454)------------------------------
% 0.87/0.44 % (1124454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124454)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124454)Termination reason: Instruction limit
% 0.87/0.44 % (1124454)Termination phase: Property scanning
% 0.87/0.44 % (1124454)Time elapsed: 0.012 s
% 0.87/0.44 % (1124454)Peak memory usage: 10 MB
% 0.87/0.44 % (1124454)Instructions burned: 28 (million)
% 0.87/0.44 % (1124463)Instruction limit reached!
% 0.87/0.44 % (1124463)------------------------------
% 0.87/0.44 % (1124463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124463)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124463)Termination reason: Instruction limit
% 0.87/0.44 % (1124463)Termination phase: shuffling
% 0.87/0.44 % (1124463)Time elapsed: 0.002 s
% 0.87/0.44 % (1124463)Peak memory usage: 10 MB
% 0.87/0.44 % (1124463)Instructions burned: 4 (million)
% 0.87/0.44 % (1124458)Instruction limit reached!
% 0.87/0.44 % (1124458)------------------------------
% 0.87/0.44 % (1124458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124458)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124458)Termination reason: Instruction limit
% 0.87/0.44 % (1124458)Termination phase: Saturation
% 0.87/0.44 % (1124458)Time elapsed: 0.019 s
% 0.87/0.44 % (1124458)Peak memory usage: 12 MB
% 0.87/0.44 % (1124458)Instructions burned: 89 (million)
% 0.87/0.44 % (1124466)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2691533697:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.87/0.44 % (1124436)Instruction limit reached!
% 0.87/0.44 % (1124436)------------------------------
% 0.87/0.44 % (1124436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124436)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124436)Termination reason: Instruction limit
% 0.87/0.44 % (1124436)Termination phase: Saturation
% 0.87/0.44 % (1124436)Time elapsed: 0.066 s
% 0.87/0.44 % (1124436)Peak memory usage: 14 MB
% 0.87/0.44 % (1124436)Instructions burned: 157 (million)
% 0.87/0.44 % (1124478)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1488842676:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.87/0.44 % (1124460)lrs+10_1_si=on:cs=on:random_seed=4098282374:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.87/0.44 % (1124478)Instruction limit reached!
% 0.87/0.44 % (1124478)------------------------------
% 0.87/0.44 % (1124478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124478)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124478)Termination reason: Instruction limit
% 0.87/0.44 % (1124478)Termination phase: shuffling
% 0.87/0.44 % (1124478)Time elapsed: 0.006 s
% 0.87/0.44 % (1124478)Peak memory usage: 10 MB
% 0.87/0.44 % (1124478)Instructions burned: 25 (million)
% 0.87/0.44 % (1124466)Refutation not found, incomplete strategy
% 0.87/0.44 % (1124466)------------------------------
% 0.87/0.44 % (1124466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.44 % (1124466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.44 % (1124466)CaDiCaL version: 2.1.3
% 0.87/0.44 % (1124466)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.44 % (1124466)Time elapsed: 0.016 s
% 0.87/0.44 % (1124466)Peak memory usage: 13 MB
% 0.87/0.44 % (1124466)Instructions burned: 31 (million)
% 0.87/0.44 % (1124476)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3683921320:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.87/0.44 % (1124466)------------------------------
% 0.87/0.44 % (1124466)------------------------------
% 1.46/0.49 % (1124460)Instruction limit reached!
% 1.46/0.49 % (1124460)------------------------------
% 1.46/0.49 % (1124460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (1124460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (1124460)CaDiCaL version: 2.1.3
% 1.46/0.49 % (1124460)Termination reason: Instruction limit
% 1.46/0.49 % (1124460)Termination phase: shuffling
% 1.46/0.49 % (1124460)Time elapsed: 0.007 s
% 1.46/0.49 % (1124460)Peak memory usage: 10 MB
% 1.46/0.49 % (1124460)Instructions burned: 9 (million)
% 1.46/0.49 % (1124479)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1179416339:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.49 % (1124479)Instruction limit reached!
% 1.46/0.49 % (1124479)------------------------------
% 1.46/0.49 % (1124479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (1124479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (1124479)CaDiCaL version: 2.1.3
% 1.46/0.49 % (1124479)Termination reason: Instruction limit
% 1.46/0.49 % (1124479)Termination phase: shuffling
% 1.46/0.49 % (1124479)Time elapsed: 0.006 s
% 1.46/0.49 % (1124479)Peak memory usage: 10 MB
% 1.46/0.49 % (1124479)Instructions burned: 14 (million)
% 1.46/0.49 % (1124489)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2080417995:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.49 % (1124485)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1528764246:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.46/0.49 % (1124489)Instruction limit reached!
% 1.46/0.49 % (1124489)------------------------------
% 1.46/0.49 % (1124489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (1124489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (1124489)CaDiCaL version: 2.1.3
% 1.46/0.49 % (1124489)Termination reason: Instruction limit
% 1.46/0.49 % (1124489)Termination phase: shuffling
% 1.46/0.49 % (1124489)Time elapsed: 0.004 s
% 1.46/0.49 % (1124489)Peak memory usage: 10 MB
% 1.46/0.49 % (1124489)Instructions burned: 17 (million)
% 1.46/0.49 % (1124493)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=16287346: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)
% 1.46/0.49 % (1124494)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=735760616:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.49 % (1124493)Instruction limit reached!
% 1.46/0.49 % (1124493)------------------------------
% 1.46/0.49 % (1124493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (1124493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (1124493)CaDiCaL version: 2.1.3
% 1.46/0.49 % (1124493)Termination reason: Instruction limit
% 1.46/0.49 % (1124493)Termination phase: shuffling
% 1.46/0.49 % (1124493)Time elapsed: 0.002 s
% 1.46/0.49 % (1124493)Peak memory usage: 10 MB
% 1.46/0.49 % (1124493)Instructions burned: 3 (million)
% 1.46/0.49 % (1124476)Refutation not found, incomplete strategy
% 1.46/0.49 % (1124476)------------------------------
% 1.46/0.49 % (1124476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (1124476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (1124476)CaDiCaL version: 2.1.3
% 1.46/0.49 % (1124476)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.49 % (1124476)Time elapsed: 0.023 s
% 1.46/0.49 % (1124476)Peak memory usage: 12 MB
% 1.46/0.49 % (1124476)Instructions burned: 52 (million)
% 1.46/0.49 % (1124503)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1247129874:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.49 % (1124476)------------------------------
% 1.46/0.49 % (1124476)------------------------------
% 1.46/0.49 % (1124498)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3595927920:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.49 % (1124494)Instruction limit reached!
% 1.46/0.49 % (1124494)------------------------------
% 1.46/0.49 % (1124494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124494)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124494)Termination reason: Instruction limit
% 1.46/0.53 % (1124494)Termination phase: Property scanning
% 1.46/0.53 % (1124494)Time elapsed: 0.012 s
% 1.46/0.53 % (1124494)Peak memory usage: 10 MB
% 1.46/0.53 % (1124494)Instructions burned: 27 (million)
% 1.46/0.53 % (1124498)Instruction limit reached!
% 1.46/0.53 % (1124498)------------------------------
% 1.46/0.53 % (1124498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124498)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124498)Termination reason: Instruction limit
% 1.46/0.53 % (1124498)Termination phase: Property scanning
% 1.46/0.53 % (1124498)Time elapsed: 0.011 s
% 1.46/0.53 % (1124498)Peak memory usage: 10 MB
% 1.46/0.53 % (1124498)Instructions burned: 24 (million)
% 1.46/0.53 % (1124513)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
% 1.46/0.53 % (1124513)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.53 % (1124503)Instruction limit reached!
% 1.46/0.53 % (1124503)------------------------------
% 1.46/0.53 % (1124503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124503)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124503)Termination reason: Instruction limit
% 1.46/0.53 % (1124503)Termination phase: Property scanning
% 1.46/0.53 % (1124503)Time elapsed: 0.015 s
% 1.46/0.53 % (1124503)Peak memory usage: 12 MB
% 1.46/0.53 % (1124503)Instructions burned: 62 (million)
% 1.46/0.53 % (1124517)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.53 % (1124513)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=2818237074:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.53 % (1124517)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=4195908705:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.53 % (1124523)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2411658987:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.53 % (1124517)Instruction limit reached!
% 1.46/0.53 % (1124517)------------------------------
% 1.46/0.53 % (1124517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124517)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124517)Termination reason: Instruction limit
% 1.46/0.53 % (1124517)Termination phase: shuffling
% 1.46/0.53 % (1124517)Time elapsed: 0.004 s
% 1.46/0.53 % (1124517)Peak memory usage: 10 MB
% 1.46/0.53 % (1124517)Instructions burned: 9 (million)
% 1.46/0.53 % (1124513)Instruction limit reached!
% 1.46/0.53 % (1124513)------------------------------
% 1.46/0.53 % (1124513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124513)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124513)Termination reason: Instruction limit
% 1.46/0.53 % (1124513)Termination phase: shuffling
% 1.46/0.53 % (1124513)Time elapsed: 0.007 s
% 1.46/0.53 % (1124513)Peak memory usage: 10 MB
% 1.46/0.53 % (1124513)Instructions burned: 16 (million)
% 1.46/0.53 % (1124521)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=3400157414:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.53 % (1124523)Instruction limit reached!
% 1.46/0.53 % (1124523)------------------------------
% 1.46/0.53 % (1124523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124523)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124523)Termination reason: Instruction limit
% 1.46/0.53 % (1124523)Termination phase: Property scanning
% 1.46/0.53 % (1124523)Time elapsed: 0.005 s
% 1.46/0.53 % (1124523)Peak memory usage: 10 MB
% 1.46/0.53 % (1124523)Instructions burned: 24 (million)
% 1.46/0.53 % (1124522)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3852885751:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.53 % (1124522)Instruction limit reached!
% 1.46/0.53 % (1124522)------------------------------
% 1.46/0.53 % (1124522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124522)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124522)Termination reason: Instruction limit
% 1.46/0.53 % (1124522)Termination phase: shuffling
% 1.46/0.53 % (1124522)Time elapsed: 0.003 s
% 1.46/0.53 % (1124522)Peak memory usage: 10 MB
% 1.46/0.53 % (1124522)Instructions burned: 7 (million)
% 1.46/0.53 % (1124534)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=593610949:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.46/0.53 % (1124521)Instruction limit reached!
% 1.46/0.53 % (1124521)------------------------------
% 1.46/0.53 % (1124521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124521)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124521)Termination reason: Instruction limit
% 1.46/0.53 % (1124521)Termination phase: Property scanning
% 1.46/0.53 % (1124521)Time elapsed: 0.014 s
% 1.46/0.53 % (1124521)Peak memory usage: 10 MB
% 1.46/0.53 % (1124521)Instructions burned: 33 (million)
% 1.46/0.53 % (1124529)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3863316925:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.46/0.53 % (1124530)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2360225132:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.46/0.53 % (1124529)Instruction limit reached!
% 1.46/0.53 % (1124529)------------------------------
% 1.46/0.53 % (1124529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124529)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124529)Termination reason: Instruction limit
% 1.46/0.53 % (1124529)Termination phase: Property scanning
% 1.46/0.53 % (1124529)Time elapsed: 0.010 s
% 1.46/0.53 % (1124529)Peak memory usage: 10 MB
% 1.46/0.53 % (1124529)Instructions burned: 21 (million)
% 1.46/0.53 % (1124538)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=573586767:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.46/0.53 % (1124541)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2403572659:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.46/0.53 % (1124549)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.46/0.53 % (1124549)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1772579881:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.46/0.53 % (1124534)Instruction limit reached!
% 1.46/0.53 % (1124534)------------------------------
% 1.46/0.53 % (1124534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124534)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124534)Termination reason: Instruction limit
% 1.46/0.53 % (1124534)Termination phase: Saturation
% 1.46/0.53 % (1124534)Time elapsed: 0.032 s
% 1.46/0.53 % (1124534)Peak memory usage: 13 MB
% 1.46/0.53 % (1124534)Instructions burned: 143 (million)
% 1.46/0.53 % (1124549)Instruction limit reached!
% 1.46/0.53 % (1124549)------------------------------
% 1.46/0.53 % (1124549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124549)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124549)Termination reason: Instruction limit
% 1.46/0.53 % (1124549)Termination phase: shuffling
% 1.46/0.53 % (1124549)Time elapsed: 0.004 s
% 1.46/0.53 % (1124549)Peak memory usage: 10 MB
% 1.46/0.53 % (1124549)Instructions burned: 9 (million)
% 1.46/0.53 % (1124541)Instruction limit reached!
% 1.46/0.53 % (1124541)------------------------------
% 1.46/0.53 % (1124541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124541)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124541)Termination reason: Instruction limit
% 1.46/0.53 % (1124541)Termination phase: Property scanning
% 1.46/0.53 % (1124541)Time elapsed: 0.018 s
% 1.46/0.53 % (1124541)Peak memory usage: 11 MB
% 1.46/0.53 % (1124541)Instructions burned: 44 (million)
% 1.46/0.53 % (1124561)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3169872553:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.46/0.53 % (1124538)Refutation not found, incomplete strategy
% 1.46/0.53 % (1124538)------------------------------
% 1.46/0.53 % (1124538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124538)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124538)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.53 % (1124538)Time elapsed: 0.030 s
% 1.46/0.53 % (1124538)Peak memory usage: 13 MB
% 1.46/0.53 % (1124538)Instructions burned: 67 (million)
% 1.46/0.53 % (1124538)------------------------------
% 1.46/0.53 % (1124538)------------------------------
% 1.46/0.53 % (1124566)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.46/0.53 % (1124564)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=4113153001:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.46/0.53 % (1124561)Refutation not found, incomplete strategy
% 1.46/0.53 % (1124561)------------------------------
% 1.46/0.53 % (1124561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124561)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124561)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.53 % (1124561)Time elapsed: 0.012 s
% 1.46/0.53 % (1124561)Peak memory usage: 13 MB
% 1.46/0.53 % (1124561)Instructions burned: 53 (million)
% 1.46/0.53 % (1124561)------------------------------
% 1.46/0.53 % (1124561)------------------------------
% 1.46/0.53 % (1124566)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=116028422:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.46/0.53 % (1124566)Instruction limit reached!
% 1.46/0.53 % (1124566)------------------------------
% 1.46/0.53 % (1124566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124566)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124566)Termination reason: Instruction limit
% 1.46/0.53 % (1124566)Termination phase: shuffling
% 1.46/0.53 % (1124566)Time elapsed: 0.003 s
% 1.46/0.53 % (1124566)Peak memory usage: 10 MB
% 1.46/0.53 % (1124566)Instructions burned: 7 (million)
% 1.46/0.53 % (1124485) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1124425-1124485"...
% 1.46/0.53 % (1124572)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1853074813:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.46/0.53 % (1124575)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2545581470:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.46/0.53 % (1124485)...printing done.
% 1.46/0.53 % (1124485)Refutation found. Thanks to Tanya!
% 1.46/0.53 % SZS status Theorem for theBenchmark
% 1.46/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.53 % (1124485)------------------------------
% 1.46/0.53 % (1124485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.53 % (1124485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.53 % (1124485)CaDiCaL version: 2.1.3
% 1.46/0.53 % (1124485)Termination reason: Refutation
% 1.46/0.53 % (1124485)Time elapsed: 0.123 s
% 1.46/0.53 % (1124485)Peak memory usage: 16 MB
% 1.46/0.53 % (1124485)Instructions burned: 267 (million)
% 1.46/0.53 % (1124425)Success in time 0.259 s
% 1.46/0.53 % Vampire exiting
%------------------------------------------------------------------------------