%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG264^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:45:16 AM UTC 2026
% Result : Theorem 5.44s 1.12s
% Output : Refutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 15
% Syntax : Number of formulae : 145 ( 32 unt; 0 typ; 10 def)
% Number of atoms : 1513 ( 186 equ; 0 cnn)
% Maximal formula atoms : 35 ( 10 avg)
% Number of connectives : 2092 ( 71 ~; 143 |; 0 &; 932 @)
% ( 10 <=>; 837 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 459 ( 455 usr; 195 con; 0-4 aty)
% ( 99 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 177 ( 6 sgn 48 !; 0 ?; 177 :)
% 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,
vIMP: $o > $o > $o ).
thf(func_def_124,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_125,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_130,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_132,type,
vIFF: $o > $o > $o ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
vNOT: $o > $o ).
thf(func_def_137,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_138,type,
vAND: $o > $o > $o ).
thf(func_def_139,type,
sK0: subst ).
thf(func_def_140,type,
sK1: term ).
thf(func_def_141,type,
sK2: subst ).
thf(func_def_142,type,
sK3: ( subst > term > term ) > term ).
thf(func_def_143,type,
sK4: ( subst > term > term ) > subst ).
thf(func_def_144,type,
sK5: ( subst > term > term ) > subst ).
thf(func_def_145,type,
sK6: subst > term > term ).
thf(func_def_146,type,
sK7: ( subst > term > subst > $o ) > term ).
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 ) > 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 ) > term ).
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 ) > subst ).
thf(func_def_160,type,
sK21: subst > term > subst > $o ).
thf(func_def_161,type,
sK22: term ).
thf(func_def_162,type,
sK23: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_163,type,
sK24: ( subst > term > subst > $o ) > term > term ).
thf(func_def_164,type,
sK25: ( subst > term > subst > $o ) > term > term ).
thf(func_def_165,type,
sK26: ( subst > term > subst > $o ) > term > term ).
thf(func_def_166,type,
sK27: subst > term > subst > $o ).
thf(func_def_167,type,
sK28: ( subst > term > term ) > subst ).
thf(func_def_168,type,
sK29: ( subst > term > term ) > term ).
thf(func_def_169,type,
sK30: ( subst > term > term ) > subst ).
thf(func_def_170,type,
sK31: ( subst > term > term ) > term ).
thf(func_def_171,type,
sK32: ( subst > term > term ) > term ).
thf(func_def_172,type,
sK33: term ).
thf(func_def_173,type,
sK34: term ).
thf(func_def_174,type,
sK35: subst ).
thf(func_def_175,type,
sK36: subst > ( term > $o ) > term ).
thf(func_def_176,type,
sK37: term > $o ).
thf(func_def_177,type,
sK38: term ).
thf(func_def_178,type,
sK39: subst ).
thf(func_def_179,type,
sK40: term ).
thf(func_def_180,type,
sK41: subst ).
thf(func_def_181,type,
sK42: subst ).
thf(func_def_182,type,
sK43: subst ).
thf(func_def_183,type,
sK44: ( term > $o ) > term ).
thf(func_def_184,type,
sK45: term > $o ).
thf(func_def_185,type,
sK46: 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: subst ).
thf(func_def_190,type,
sK51: subst ).
thf(func_def_191,type,
sK52: term ).
thf(func_def_192,type,
sK53: term ).
thf(func_def_193,type,
sK54: term ).
thf(func_def_194,type,
sK55: term ).
thf(func_def_195,type,
sK56: ( subst > term > subst > $o ) > subst ).
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 > term > term ).
thf(func_def_199,type,
sK60: ( subst > term > subst > $o ) > term ).
thf(func_def_200,type,
sK61: ( subst > term > subst > $o ) > term ).
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 ) > term ).
thf(func_def_204,type,
sK65: ( subst > term > subst > $o ) > subst ).
thf(func_def_205,type,
sK66: ( subst > term > subst > $o ) > term ).
thf(func_def_206,type,
sK67: ( subst > term > subst > $o ) > subst ).
thf(func_def_207,type,
sK68: ( subst > term > subst > $o ) > subst ).
thf(func_def_208,type,
sK69: ( subst > term > subst > $o ) > term ).
thf(func_def_209,type,
sK70: ( subst > term > subst > $o ) > subst ).
thf(func_def_210,type,
sK71: ( subst > term > subst > $o ) > subst ).
thf(func_def_211,type,
sK72: ( subst > term > subst > $o ) > subst ).
thf(func_def_212,type,
sK73: ( subst > term > subst > $o ) > term ).
thf(func_def_213,type,
sK74: ( subst > term > subst > $o ) > subst ).
thf(func_def_214,type,
sK75: ( subst > term > subst > $o ) > term ).
thf(func_def_215,type,
sK76: ( subst > term > subst > $o ) > subst ).
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 ) > subst ).
thf(func_def_219,type,
sK80: ( subst > term > subst > $o ) > term ).
thf(func_def_220,type,
sK81: ( subst > term > subst > $o ) > term ).
thf(func_def_221,type,
sK82: ( subst > term > subst > $o ) > subst ).
thf(func_def_222,type,
sK83: ( subst > term > subst > $o ) > term ).
thf(func_def_223,type,
sK84: ( subst > term > subst > $o ) > term ).
thf(func_def_224,type,
sK85: ( subst > term > subst > $o ) > subst ).
thf(func_def_225,type,
sK86: ( subst > term > subst > $o ) > term ).
thf(func_def_226,type,
sK87: ( subst > term > subst > $o ) > subst ).
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 ) > term ).
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 ) > subst ).
thf(func_def_235,type,
sK96: ( subst > term > subst > $o ) > term ).
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 ) > term ).
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 ) > term ).
thf(func_def_248,type,
sK109: ( subst > term > subst > $o ) > subst ).
thf(func_def_249,type,
sK110: ( subst > term > subst > $o ) > subst ).
thf(func_def_250,type,
sK111: ( subst > term > subst > $o ) > term ).
thf(func_def_251,type,
sK112: ( subst > term > subst > $o ) > subst ).
thf(func_def_252,type,
sK113: ( subst > term > subst > $o ) > term ).
thf(func_def_253,type,
sK114: ( subst > term > subst > $o ) > term ).
thf(func_def_254,type,
sK115: ( subst > term > subst > $o ) > subst ).
thf(func_def_255,type,
sK116: ( subst > term > subst > $o ) > term ).
thf(func_def_256,type,
sK117: ( subst > term > subst > $o ) > subst ).
thf(func_def_257,type,
sK118: ( subst > term > subst > $o ) > subst ).
thf(func_def_258,type,
sK119: ( subst > term > subst > $o ) > term ).
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 ) > 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 ) > 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 ) > term ).
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 ) > term ).
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 ) > term ).
thf(func_def_274,type,
sK135: subst > term > subst > $o ).
thf(func_def_275,type,
sK136: ( subst > term > term ) > term ).
thf(func_def_276,type,
sK137: ( subst > term > term ) > term ).
thf(func_def_277,type,
sK138: ( subst > term > term ) > subst ).
thf(func_def_278,type,
sK139: ( subst > term > term ) > subst ).
thf(func_def_279,type,
sK140: ( subst > term > term ) > subst ).
thf(func_def_280,type,
sK141: ( subst > term > term ) > subst ).
thf(func_def_281,type,
sK142: term ).
thf(func_def_282,type,
sK143: ( term > $o ) > term ).
thf(func_def_283,type,
sK144: ( term > $o ) > term ).
thf(func_def_284,type,
sK145: ( term > $o ) > term ).
thf(func_def_285,type,
sK146: ( term > $o ) > term ).
thf(func_def_286,type,
sK147: ( term > $o ) > term ).
thf(func_def_287,type,
sK148: ( term > $o ) > term ).
thf(func_def_288,type,
sK149: term > $o ).
thf(func_def_289,type,
sK150: term > 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: ( subst > term > subst > $o ) > subst ).
thf(func_def_294,type,
sK155: ( subst > term > subst > $o ) > subst > term > term ).
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 ) > subst ).
thf(func_def_298,type,
sK159: ( subst > term > subst > $o ) > term > term ).
thf(func_def_299,type,
sK160: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
thf(func_def_303,type,
sK164: ( subst > term > subst > $o ) > subst ).
thf(func_def_304,type,
sK165: ( subst > term > subst > $o ) > subst ).
thf(func_def_305,type,
sK166: ( subst > term > subst > $o ) > term ).
thf(func_def_306,type,
sK167: ( subst > term > subst > $o ) > subst ).
thf(func_def_307,type,
sK168: ( subst > term > subst > $o ) > term > term ).
thf(func_def_308,type,
sK169: ( subst > term > subst > $o ) > subst ).
thf(func_def_309,type,
sK170: ( subst > term > subst > $o ) > term ).
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 ) > term ).
thf(func_def_313,type,
sK174: ( subst > term > subst > $o ) > subst ).
thf(func_def_314,type,
sK175: ( subst > term > subst > $o ) > term ).
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 > 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 ) > term ).
thf(func_def_321,type,
sK182: ( subst > term > subst > $o ) > subst ).
thf(func_def_322,type,
sK183: ( subst > term > subst > $o ) > term ).
thf(func_def_323,type,
sK184: ( subst > term > subst > $o ) > subst ).
thf(func_def_324,type,
sK185: ( subst > term > subst > $o ) > term ).
thf(func_def_325,type,
sK186: ( subst > term > subst > $o ) > subst ).
thf(func_def_326,type,
sK187: ( subst > term > subst > $o ) > term ).
thf(func_def_327,type,
sK188: subst > term > subst > $o ).
thf(func_def_328,type,
sK189: ( subst > term > term ) > term ).
thf(func_def_329,type,
sK190: ( subst > term > term ) > term ).
thf(func_def_330,type,
sK191: ( subst > term > term ) > subst ).
thf(func_def_331,type,
sK192: ( subst > term > term ) > subst ).
thf(func_def_332,type,
sK193: ( subst > term > term ) > subst ).
thf(func_def_333,type,
sK194: term ).
thf(func_def_334,type,
sK195: ( subst > term > subst > $o ) > subst ).
thf(func_def_335,type,
sK196: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
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 ) > term ).
thf(func_def_342,type,
sK203: ( subst > term > subst > $o ) > term ).
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 ) > term ).
thf(func_def_348,type,
sK209: ( subst > term > subst > $o ) > term ).
thf(func_def_349,type,
sK210: term > $o ).
thf(func_def_350,type,
sK211: subst > term > subst > $o ).
thf(func_def_351,type,
sK212: term ).
thf(func_def_352,type,
sK213: ( term > $o ) > term ).
thf(func_def_353,type,
sK214: ( term > $o ) > term ).
thf(func_def_354,type,
sK215: ( term > $o ) > term ).
thf(func_def_355,type,
sK216: ( term > $o ) > term ).
thf(func_def_356,type,
sK217: ( term > $o ) > term ).
thf(func_def_357,type,
sK218: term > $o ).
thf(func_def_358,type,
sK219: term ).
thf(func_def_359,type,
sK220: term ).
thf(func_def_360,type,
sK221: term ).
thf(func_def_361,type,
sK222: term ).
thf(func_def_362,type,
sK223: term ).
thf(func_def_363,type,
sK224: term ).
thf(func_def_364,type,
sK225: term ).
thf(func_def_365,type,
sK226: ( subst > term > subst > $o ) > subst ).
thf(func_def_366,type,
sK227: ( subst > term > subst > $o ) > term ).
thf(func_def_367,type,
sK228: ( subst > term > subst > $o ) > subst ).
thf(func_def_368,type,
sK229: ( subst > term > subst > $o ) > term ).
thf(func_def_369,type,
sK230: ( subst > term > subst > $o ) > subst ).
thf(func_def_370,type,
sK231: ( subst > term > subst > $o ) > term ).
thf(func_def_371,type,
sK232: ( subst > term > subst > $o ) > term ).
thf(func_def_372,type,
sK233: ( subst > term > subst > $o ) > subst ).
thf(func_def_373,type,
sK234: ( subst > term > subst > $o ) > subst ).
thf(func_def_374,type,
sK235: ( subst > term > subst > $o ) > subst ).
thf(func_def_375,type,
sK236: ( subst > term > subst > $o ) > subst ).
thf(func_def_376,type,
sK237: ( subst > term > subst > $o ) > subst ).
thf(func_def_377,type,
sK238: ( subst > term > subst > $o ) > subst ).
thf(func_def_378,type,
sK239: ( subst > term > subst > $o ) > subst ).
thf(func_def_379,type,
sK240: ( subst > term > subst > $o ) > subst ).
thf(func_def_380,type,
sK241: subst > term > subst > $o ).
thf(func_def_381,type,
sK242: term ).
thf(func_def_382,type,
sK243: term ).
thf(func_def_383,type,
sK244: ( subst > term > term ) > term ).
thf(func_def_384,type,
sK245: ( subst > term > term ) > subst ).
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 ) > subst ).
thf(func_def_389,type,
sK250: subst > term > term ).
thf(func_def_390,type,
sK251: subst > term > term ).
thf(func_def_391,type,
sK252: term ).
thf(func_def_392,type,
sK253: subst ).
thf(func_def_393,type,
sK254: term ).
thf(func_def_394,type,
sK255: subst ).
thf(func_def_395,type,
sK256: subst ).
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(func_def_400,type,
sK261: term ).
thf(func_def_401,type,
sK262: ( subst > term > term ) > subst ).
thf(func_def_402,type,
sK263: ( subst > term > term ) > subst ).
thf(func_def_403,type,
sK264: ( subst > term > term ) > term ).
thf(func_def_404,type,
sK265: subst > term > term ).
thf(func_def_405,type,
sK266: term ).
thf(func_def_406,type,
sK267: term ).
thf(func_def_407,type,
sK268: term ).
thf(func_def_408,type,
sK269: term ).
thf(func_def_409,type,
sK270: term ).
thf(func_def_410,type,
sK271: term ).
thf(func_def_411,type,
sK272: term ).
thf(func_def_412,type,
sK273: ( term > $o ) > term ).
thf(func_def_413,type,
sK274: ( term > $o ) > term ).
thf(func_def_414,type,
sK275: ( term > $o ) > term ).
thf(func_def_415,type,
sK276: subst > ( term > $o ) > term ).
thf(func_def_416,type,
sK277: subst > ( term > $o ) > term ).
thf(func_def_417,type,
sK278: subst > ( term > $o ) > term ).
thf(func_def_418,type,
sK279: ( term > $o ) > term ).
thf(func_def_419,type,
sK280: subst > ( term > $o ) > term ).
thf(func_def_420,type,
sK281: term > $o ).
thf(func_def_421,type,
sK282: term > term ).
thf(func_def_422,type,
sK283: term ).
thf(func_def_423,type,
sK284: subst ).
thf(func_def_424,type,
sK285: subst ).
thf(func_def_425,type,
sK286: term ).
thf(func_def_426,type,
sK287: term ).
thf(func_def_427,type,
sK288: term ).
thf(func_def_428,type,
sK289: term ).
thf(func_def_429,type,
sK290: term ).
thf(func_def_430,type,
sK291: term ).
thf(func_def_431,type,
sK292: term ).
thf(func_def_432,type,
sK293: term ).
thf(func_def_433,type,
sK294: subst ).
thf(func_def_434,type,
sK295: term ).
thf(func_def_435,type,
sK296: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_436,type,
sK297: term > ( term > $o ) > term ).
thf(func_def_437,type,
sK298: term > $o ).
thf(func_def_438,type,
sK299: subst > term > subst > $o ).
thf(func_def_439,type,
sK300: ( subst > term > term ) > subst ).
thf(func_def_440,type,
sK301: ( subst > term > term ) > term ).
thf(func_def_441,type,
sK302: ( subst > term > term ) > subst ).
thf(func_def_442,type,
sK303: ( subst > term > term ) > term ).
thf(func_def_443,type,
sK304: ( subst > term > term ) > term ).
thf(func_def_444,type,
sK305: term ).
thf(func_def_445,type,
sK306: term ).
thf(func_def_446,type,
sK307: subst ).
thf(f3,axiom,
! [X0: term] :
( ( ( sub @ X0 @ id )
= X0 )
= axvarid ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f55,axiom,
( ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) )
= hoasap ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f93,axiom,
( hoasinduction_lem2
= ( ! [X0: subst > term > subst > $o] :
( ! [X4: subst,X3: subst,X2: term,X1: subst] :
( ( X0 @ X1 @ X2 @ ( comp @ X4 @ X3 ) )
=> ( X0 @ ( comp @ X1 @ X4 ) @ ( sub @ X2 @ X4 ) @ X3 ) )
=> ( ! [X1: subst,X2: term,X3: subst,X4: subst] :
( ( X0 @ ( comp @ X1 @ X4 ) @ ( sub @ X2 @ X4 ) @ X3 )
=> ( X0 @ X1 @ X2 @ ( comp @ X4 @ X3 ) ) )
=> ( ! [X5: term,X2: term] :
( ( X0 @ id @ X2 @ id )
=> ( ( X0 @ id @ X5 @ id )
=> ( X0 @ id @ ( hoasap @ id @ X2 @ id @ X5 ) @ id ) ) )
=> ! [X2: term,X5: term] :
( ( X0 @ id @ X2 @ id )
=> ( ( X0 @ id @ X5 @ id )
=> ( X0 @ id @ ( ap @ X2 @ X5 ) @ id ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem2) ).
thf(f94,axiom,
( ( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem2_gthm) ).
thf(f114,conjecture,
hoasinduction_lem2_gthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasinduction_lem2_gthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f139,plain,
~ hoasinduction_lem2_gthm,
inference(rectify,[],[f115]) ).
thf(f140,plain,
hoasinduction_lem2_gthm != $true,
inference(fool_elimination,[],[f139]) ).
thf(f143,plain,
( hoasinduction_lem2
= ( ! [X0: subst > term > subst > $o] :
( ! [X1: subst,X2: subst,X3: term,X4: subst] :
( ( X0 @ X4 @ X3 @ ( comp @ X1 @ X2 ) )
=> ( X0 @ ( comp @ X4 @ X1 ) @ ( sub @ X3 @ X1 ) @ X2 ) )
=> ( ! [X5: subst,X6: term,X7: subst,X8: subst] :
( ( X0 @ ( comp @ X5 @ X8 ) @ ( sub @ X6 @ X8 ) @ X7 )
=> ( X0 @ X5 @ X6 @ ( comp @ X8 @ X7 ) ) )
=> ( ! [X9: term,X10: term] :
( ( X0 @ id @ X10 @ id )
=> ( ( X0 @ id @ X9 @ id )
=> ( X0 @ id @ ( hoasap @ id @ X10 @ id @ X9 ) @ id ) ) )
=> ! [X11: term,X12: term] :
( ( X0 @ id @ X11 @ id )
=> ( ( X0 @ id @ X12 @ id )
=> ( X0 @ id @ ( ap @ X11 @ X12 ) @ id ) ) ) ) ) ) ) ),
inference(rectify,[],[f93]) ).
thf(f144,plain,
( hoasinduction_lem2
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y1 @ Y2 @ ( comp @ Y4 @ Y3 ) )
=> ( Y0 @ ( comp @ Y1 @ Y4 ) @ ( sub @ Y2 @ Y4 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ ( comp @ Y4 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( Y0 @ Y4 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( hoasap @ id @ Y1 @ id @ Y2 ) @ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( ( Y0 @ id @ Y1 @ id )
=> ( Y0 @ id @ ( ap @ Y2 @ Y1 ) @ id ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f143]) ).
thf(f149,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f161,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f266,plain,
( ( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f94]) ).
thf(f267,plain,
( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f266]) ).
thf(f320,plain,
hoasinduction_lem2_gthm != $true,
inference(flattening,[],[f140]) ).
thf(f326,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f149]) ).
thf(f330,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f161]) ).
thf(f335,plain,
hoasinduction_lem2_gthm != $true,
inference(cnf_transformation,[],[f320]) ).
thf(f356,plain,
( hoasinduction_lem2
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y1 @ Y2 @ ( comp @ Y4 @ Y3 ) )
=> ( Y0 @ ( comp @ Y1 @ Y4 ) @ ( sub @ Y2 @ Y4 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ ( comp @ Y4 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( Y0 @ Y4 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( hoasap @ id @ Y1 @ id @ Y2 ) @ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( ( Y0 @ id @ Y1 @ id )
=> ( Y0 @ id @ ( ap @ Y2 @ Y1 ) @ id ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f144]) ).
thf(f364,plain,
( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f267]) ).
thf(f378,plain,
( hoasinduction_lem2
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y1 @ Y2 @ ( comp @ Y4 @ Y3 ) )
=> ( Y0 @ ( comp @ Y1 @ Y4 ) @ ( sub @ Y2 @ Y4 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ ( comp @ Y4 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( Y0 @ Y4 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id
@ ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y1
@ id
@ Y2 )
@ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( ( Y0 @ id @ Y1 @ id )
=> ( Y0 @ id @ ( ap @ Y2 @ Y1 ) @ id ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f356,f326]) ).
thf(f1531,plain,
( ( hoasinduction_lem2 = $true )
| ( ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y1 @ Y2 @ ( comp @ Y4 @ Y3 ) )
=> ( Y0 @ ( comp @ Y1 @ Y4 ) @ ( sub @ Y2 @ Y4 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ ( comp @ Y4 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( Y0 @ Y4 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id
@ ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y1
@ id
@ Y2 )
@ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( ( Y0 @ id @ Y1 @ id )
=> ( Y0 @ id @ ( ap @ Y2 @ Y1 ) @ id ) ) ) ) ) ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f378]) ).
thf(f1590,plain,
( ( ( ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y1 @ Y2 @ ( comp @ Y4 @ Y3 ) )
=> ( Y0 @ ( comp @ Y1 @ Y4 ) @ ( sub @ Y2 @ Y4 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ ( comp @ Y4 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( Y0 @ Y4 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id
@ ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y1
@ id
@ Y2 )
@ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( ( Y0 @ id @ Y1 @ id )
=> ( Y0 @ id @ ( ap @ Y2 @ Y1 ) @ id ) ) ) ) ) ) ) )
@ sK241 )
= $false )
| ( hoasinduction_lem2 = $true ) ),
inference(sigma_proxy_clausification,[],[f1531]) ).
thf(f1591,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sK241 @ Y0 @ Y1 @ ( comp @ Y3 @ Y2 ) )
=> ( sK241 @ ( comp @ Y0 @ Y3 ) @ ( sub @ Y1 @ Y3 ) @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sK241 @ ( comp @ Y3 @ Y0 ) @ ( sub @ Y2 @ Y0 ) @ Y1 )
=> ( sK241 @ Y3 @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ Y1 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ Y1 @ Y0 ) @ id ) ) ) ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f1590]) ).
thf(f1592,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sK241 @ ( comp @ Y3 @ Y0 ) @ ( sub @ Y2 @ Y0 ) @ Y1 )
=> ( sK241 @ Y3 @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ Y1 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ Y1 @ Y0 ) @ id ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1591]) ).
thf(f1603,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ Y1 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ Y1 @ Y0 ) @ id ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1592]) ).
thf(f1614,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ Y1 @ Y0 ) @ id ) ) ) ) ) )
| ( hoasinduction_lem2 = $true ) ),
inference(imp_proxy_clausification,[],[f1603]) ).
thf(f1615,plain,
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ Y1 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) ) )
| ( hoasinduction_lem2 = $true ) ),
inference(imp_proxy_clausification,[],[f1603]) ).
thf(f1616,plain,
! [X1: term] :
( ( hoasinduction_lem2 = $true )
| ( $true
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ Y1 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f1615]) ).
thf(f1617,plain,
! [X1: term] :
( ( hoasinduction_lem2 = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sK241 @ id @ X1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ Y0 ) @ id ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1616]) ).
thf(f1618,plain,
! [X2: term,X1: term] :
( ( hoasinduction_lem2 = $true )
| ( $true
= ( ^ [Y0: term] :
( ( sK241 @ id @ X1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ Y0 ) @ id ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f1617]) ).
thf(f1619,plain,
! [X2: term,X1: term] :
( ( hoasinduction_lem2 = $true )
| ( ( ( sK241 @ id @ X1 @ id )
=> ( ( sK241 @ id @ X2 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1618]) ).
thf(f1620,plain,
! [X2: term,X1: term] :
( ( hoasinduction_lem2 = $true )
| ( ( sK241 @ id @ X1 @ id )
= $false )
| ( ( ( sK241 @ id @ X2 @ id )
=> ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f1619]) ).
thf(f1621,plain,
! [X2: term,X1: term] :
( ( ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id )
= $true )
| ( hoasinduction_lem2 = $true )
| ( $false
= ( sK241 @ id @ X2 @ id ) )
| ( ( sK241 @ id @ X1 @ id )
= $false ) ),
inference(imp_proxy_clausification,[],[f1620]) ).
thf(f1622,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK241 @ id @ Y1 @ id )
=> ( ( sK241 @ id @ Y0 @ id )
=> ( sK241 @ id @ ( ap @ Y1 @ Y0 ) @ id ) ) ) )
@ sK242 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1614]) ).
thf(f1623,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ sK242 @ id )
=> ( sK241 @ id @ ( ap @ Y0 @ sK242 ) @ id ) ) ) )
= $false )
| ( hoasinduction_lem2 = $true ) ),
inference(beta-eta_normalization,[],[f1622]) ).
thf(f1624,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ^ [Y0: term] :
( ( sK241 @ id @ Y0 @ id )
=> ( ( sK241 @ id @ sK242 @ id )
=> ( sK241 @ id @ ( ap @ Y0 @ sK242 ) @ id ) ) )
@ sK243 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1623]) ).
thf(f1625,plain,
( ( ( ( sK241 @ id @ sK243 @ id )
=> ( ( sK241 @ id @ sK242 @ id )
=> ( sK241 @ id @ ( ap @ sK243 @ sK242 ) @ id ) ) )
= $false )
| ( hoasinduction_lem2 = $true ) ),
inference(beta-eta_normalization,[],[f1624]) ).
thf(f1626,plain,
( ( hoasinduction_lem2 = $true )
| ( ( ( sK241 @ id @ sK242 @ id )
=> ( sK241 @ id @ ( ap @ sK243 @ sK242 ) @ id ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1625]) ).
thf(f1627,plain,
( ( hoasinduction_lem2 = $true )
| ( ( sK241 @ id @ sK243 @ id )
= $true ) ),
inference(imp_proxy_clausification,[],[f1625]) ).
thf(f1628,plain,
( ( ( sK241 @ id @ ( ap @ sK243 @ sK242 ) @ id )
= $false )
| ( hoasinduction_lem2 = $true ) ),
inference(imp_proxy_clausification,[],[f1626]) ).
thf(f1629,plain,
( ( ( sK241 @ id @ sK242 @ id )
= $true )
| ( hoasinduction_lem2 = $true ) ),
inference(imp_proxy_clausification,[],[f1626]) ).
thf(f1794,plain,
( ( axvarid = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f330]) ).
thf(f1795,plain,
! [X1: term] :
( ( axvarid = $false )
| ( $true
= ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f1794]) ).
thf(f1796,plain,
! [X1: term] :
( ( axvarid = $false )
| ( ( ( sub @ X1 @ id )
= X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f1795]) ).
thf(f1797,plain,
! [X1: term] :
( ( ( sub @ X1 @ id )
= X1 )
| ( axvarid = $false ) ),
inference(equality_proxy_clausification,[],[f1796]) ).
thf(f2021,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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(iff_proxy_clausification,[],[f364]) ).
thf(f2057,plain,
( ( $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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2021]) ).
thf(f2059,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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2057]) ).
thf(f2061,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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2059]) ).
thf(f2062,plain,
( ( axvarid = $true )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2059]) ).
thf(f2063,plain,
( ( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2061]) ).
thf(f2065,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( 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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2063]) ).
thf(f2067,plain,
( ( hoasinduction_lem2_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
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2065]) ).
thf(f2069,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2067]) ).
thf(f2071,plain,
( ( $false
= ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2069]) ).
thf(f2073,plain,
( ( ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2071]) ).
thf(f2075,plain,
( ( ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2073]) ).
thf(f2077,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2075]) ).
thf(f2079,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2077]) ).
thf(f2081,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( $false
= ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2079]) ).
thf(f2083,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2081]) ).
thf(f2085,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2083]) ).
thf(f2087,plain,
( ( ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2085]) ).
thf(f2089,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2087]) ).
thf(f2091,plain,
( ( ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2089]) ).
thf(f2093,plain,
( ( ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2091]) ).
thf(f2095,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2093]) ).
thf(f2097,plain,
( ( ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2095]) ).
thf(f2099,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2097]) ).
thf(f2101,plain,
( ( ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2099]) ).
thf(f2103,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2101]) ).
thf(f2105,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2103]) ).
thf(f2107,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2105]) ).
thf(f2109,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( $false
= ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2107]) ).
thf(f2111,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2109]) ).
thf(f2113,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2111]) ).
thf(f2115,plain,
( ( ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) )
= $false )
| ( hoasinduction_lem2_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f2113]) ).
thf(f2117,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2115]) ).
thf(f2119,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2117]) ).
thf(f2121,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( ( hoasapnotvar
=> hoasinduction_lem2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f2119]) ).
thf(f2123,plain,
( ( hoasinduction_lem2_gthm = $true )
| ( hoasinduction_lem2 = $false ) ),
inference(imp_proxy_clausification,[],[f2121]) ).
thf(f3257,definition,
( spl308_271
<=> ( hoasinduction_lem2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl308_271])],[avatar_definition]) ).
thf(f3259,plain,
( ( hoasinduction_lem2 = $false )
| ~ spl308_271 ),
inference(avatar_component_clause,[],[f3257]) ).
thf(f3306,definition,
( spl308_283
<=> ( hoasinduction_lem2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl308_283])],[avatar_definition]) ).
thf(f3308,plain,
( ( hoasinduction_lem2 = $true )
| ~ spl308_283 ),
inference(avatar_component_clause,[],[f3306]) ).
thf(f3318,definition,
( spl308_286
<=> ! [X2: term,X1: term] :
( ( ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id )
= $true )
| ( ( sK241 @ id @ X1 @ id )
= $false )
| ( $false
= ( sK241 @ id @ X2 @ id ) ) ) ),
introduced(definition,[new_symbols(definition,[spl308_286])],[avatar_definition]) ).
thf(f3319,plain,
( ! [X2: term,X1: term] :
( ( ( sK241 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id )
= $true )
| ( $false
= ( sK241 @ id @ X2 @ id ) )
| ( ( sK241 @ id @ X1 @ id )
= $false ) )
| ~ spl308_286 ),
inference(avatar_component_clause,[],[f3318]) ).
thf(f3320,plain,
( spl308_286
| spl308_283 ),
inference(avatar_split_clause,[],[f1621,f3306,f3318]) ).
thf(f3322,definition,
( spl308_287
<=> ( ( sK241 @ id @ sK243 @ id )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl308_287])],[avatar_definition]) ).
thf(f3324,plain,
( ( ( sK241 @ id @ sK243 @ id )
= $true )
| ~ spl308_287 ),
inference(avatar_component_clause,[],[f3322]) ).
thf(f3325,plain,
( spl308_287
| spl308_283 ),
inference(avatar_split_clause,[],[f1627,f3306,f3322]) ).
thf(f3327,definition,
( spl308_288
<=> ( ( sK241 @ id @ sK242 @ id )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl308_288])],[avatar_definition]) ).
thf(f3329,plain,
( ( ( sK241 @ id @ sK242 @ id )
= $true )
| ~ spl308_288 ),
inference(avatar_component_clause,[],[f3327]) ).
thf(f3330,plain,
( spl308_283
| spl308_288 ),
inference(avatar_split_clause,[],[f1629,f3327,f3306]) ).
thf(f3332,definition,
( spl308_289
<=> ( ( sK241 @ id @ ( ap @ sK243 @ sK242 ) @ id )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl308_289])],[avatar_definition]) ).
thf(f3334,plain,
( ( ( sK241 @ id @ ( ap @ sK243 @ sK242 ) @ id )
= $false )
| ~ spl308_289 ),
inference(avatar_component_clause,[],[f3332]) ).
thf(f3335,plain,
( spl308_283
| spl308_289 ),
inference(avatar_split_clause,[],[f1628,f3332,f3306]) ).
thf(f3466,definition,
( spl308_320
<=> ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl308_320])],[avatar_definition]) ).
thf(f3467,plain,
( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
| ~ spl308_320 ),
inference(avatar_component_clause,[],[f3466]) ).
thf(f3469,definition,
( spl308_321
<=> ( axvarid = $false ) ),
introduced(definition,[new_symbols(definition,[spl308_321])],[avatar_definition]) ).
thf(f3471,plain,
( ( axvarid = $false )
| ~ spl308_321 ),
inference(avatar_component_clause,[],[f3469]) ).
thf(f3472,plain,
( spl308_320
| spl308_321 ),
inference(avatar_split_clause,[],[f1797,f3469,f3466]) ).
thf(f3474,definition,
( spl308_322
<=> ( axvarid = $true ) ),
introduced(definition,[new_symbols(definition,[spl308_322])],[avatar_definition]) ).
thf(f3476,plain,
( ( axvarid = $true )
| ~ spl308_322 ),
inference(avatar_component_clause,[],[f3474]) ).
thf(f3708,definition,
( spl308_378
<=> ( hoasinduction_lem2_gthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl308_378])],[avatar_definition]) ).
thf(f3713,plain,
( spl308_378
| spl308_322 ),
inference(avatar_split_clause,[],[f2062,f3474,f3708]) ).
thf(f3761,plain,
( spl308_271
| spl308_378 ),
inference(avatar_split_clause,[],[f2123,f3708,f3257]) ).
thf(f3785,plain,
~ spl308_378,
inference(avatar_split_clause,[],[f335,f3708]) ).
thf(f3823,plain,
( ( $false = $true )
| ~ spl308_321
| ~ spl308_322 ),
inference(superposition,[],[f3476,f3471]) ).
thf(f3826,plain,
( $false
| ~ spl308_321
| ~ spl308_322 ),
inference(trivial_inequality_removal,[],[f3823]) ).
thf(f3827,plain,
( ~ spl308_321
| ~ spl308_322 ),
inference(avatar_contradiction_clause,[],[f3826]) ).
thf(f3908,plain,
( ( $false = $true )
| ~ spl308_271
| ~ spl308_283 ),
inference(superposition,[],[f3259,f3308]) ).
thf(f3912,plain,
( $false
| ~ spl308_271
| ~ spl308_283 ),
inference(trivial_inequality_removal,[],[f3908]) ).
thf(f3913,plain,
( ~ spl308_271
| ~ spl308_283 ),
inference(avatar_contradiction_clause,[],[f3912]) ).
thf(f3914,plain,
( ! [X2: term,X1: term] :
( ( ( sK241 @ id @ ( ap @ X1 @ X2 ) @ id )
= $true )
| ( $false
= ( sK241 @ id @ X2 @ id ) )
| ( ( sK241 @ id @ X1 @ id )
= $false ) )
| ~ spl308_286
| ~ spl308_320 ),
inference(forward_demodulation,[],[f3319,f3467]) ).
thf(f5562,plain,
( ( ( sK241 @ id @ sK242 @ id )
= $false )
| ( $false = $true )
| ( ( sK241 @ id @ sK243 @ id )
= $false )
| ~ spl308_286
| ~ spl308_289
| ~ spl308_320 ),
inference(superposition,[],[f3914,f3334]) ).
thf(f5563,plain,
( ( ( sK241 @ id @ sK242 @ id )
= $false )
| ( ( sK241 @ id @ sK243 @ id )
= $false )
| ~ spl308_286
| ~ spl308_289
| ~ spl308_320 ),
inference(trivial_inequality_removal,[],[f5562]) ).
thf(f5567,plain,
( ( ( sK241 @ id @ sK243 @ id )
= $false )
| ( $false = $true )
| ~ spl308_286
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(forward_demodulation,[],[f5563,f3329]) ).
thf(f5568,plain,
( ( ( sK241 @ id @ sK243 @ id )
= $false )
| ~ spl308_286
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(trivial_inequality_removal,[],[f5567]) ).
thf(f5593,plain,
( ( $false = $true )
| ~ spl308_286
| ~ spl308_287
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(superposition,[],[f3324,f5568]) ).
thf(f5598,plain,
( $false
| ~ spl308_286
| ~ spl308_287
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(trivial_inequality_removal,[],[f5593]) ).
thf(f5599,plain,
( ~ spl308_286
| ~ spl308_287
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(avatar_contradiction_clause,[],[f5598]) ).
cnf(s239,plain,
( spl308_283
| spl308_286 ),
inference(sat_conversion,[],[f3320]) ).
cnf(s240,plain,
( spl308_283
| spl308_287 ),
inference(sat_conversion,[],[f3325]) ).
cnf(s241,plain,
( spl308_283
| spl308_288 ),
inference(sat_conversion,[],[f3330]) ).
cnf(s242,plain,
( spl308_283
| spl308_289 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s261,plain,
( spl308_320
| spl308_321 ),
inference(sat_conversion,[],[f3472]) ).
cnf(s303,plain,
( spl308_322
| spl308_378 ),
inference(sat_conversion,[],[f3713]) ).
cnf(s335,plain,
( spl308_271
| spl308_378 ),
inference(sat_conversion,[],[f3761]) ).
cnf(s341,plain,
~ spl308_378,
inference(sat_conversion,[],[f3785]) ).
cnf(s354,plain,
( ~ spl308_321
| ~ spl308_322 ),
inference(sat_conversion,[],[f3827]) ).
cnf(s365,plain,
( ~ spl308_271
| ~ spl308_283 ),
inference(sat_conversion,[],[f3913]) ).
cnf(s434,plain,
( ~ spl308_286
| ~ spl308_287
| ~ spl308_288
| ~ spl308_289
| ~ spl308_320 ),
inference(sat_conversion,[],[f5599]) ).
cnf(s435,plain,
spl308_271,
inference(rat,[],[s335,s341]) ).
cnf(s436,plain,
~ spl308_283,
inference(rat,[],[s365,s435]) ).
cnf(s499,plain,
spl308_322,
inference(rat,[],[s303,s341]) ).
cnf(s500,plain,
~ spl308_321,
inference(rat,[],[s354,s499]) ).
cnf(s523,plain,
spl308_320,
inference(rat,[],[s261,s500]) ).
cnf(s534,plain,
spl308_289,
inference(rat,[],[s242,s436]) ).
cnf(s535,plain,
spl308_288,
inference(rat,[],[s241,s436]) ).
cnf(s536,plain,
spl308_287,
inference(rat,[],[s240,s436]) ).
cnf(s537,plain,
~ spl308_286,
inference(rat,[],[s434,s523,s534,s535,s536]) ).
cnf(s538,plain,
$false,
inference(rat,[],[s239,s537,s436]) ).
thf(f5600,plain,
$false,
inference(avatar_sat_refutation,[],[s538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG264^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:37:28 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.38 % (1615173)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.38 % (1615182)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3842329670:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.38 % (1615182)Instruction limit reached!
% 0.21/0.38 % (1615182)------------------------------
% 0.21/0.38 % (1615182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1615182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1615182)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1615182)Termination reason: Instruction limit
% 0.21/0.38 % (1615182)Termination phase: Naming
% 0.21/0.38 % (1615182)Time elapsed: 0.006 s
% 0.21/0.38 % (1615182)Peak memory usage: 11 MB
% 0.21/0.38 % (1615182)Instructions burned: 24 (million)
% 0.21/0.38 % (1615178)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2603224075:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.38 % (1615179)lrs+10_16_si=on:nwc=1.5:random_seed=2715706537:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (1615180)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1501696441:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38 % (1615180)Instruction limit reached!
% 0.21/0.38 % (1615180)------------------------------
% 0.21/0.38 % (1615180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1615180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1615180)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1615180)Termination reason: Instruction limit
% 0.21/0.38 % (1615180)Termination phase: shuffling
% 0.21/0.38 % (1615180)Time elapsed: 0.002 s
% 0.21/0.38 % (1615180)Peak memory usage: 10 MB
% 0.21/0.38 % (1615180)Instructions burned: 3 (million)
% 0.21/0.38 % (1615181)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=1854003066: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)
% 0.21/0.38 % (1615183)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2004232699:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.38 % (1615184)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.38 % (1615184)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
% 0.21/0.38 % (1615179)Instruction limit reached!
% 0.21/0.38 % (1615179)------------------------------
% 0.21/0.38 % (1615179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1615179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1615179)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1615179)Termination reason: Instruction limit
% 0.21/0.38 % (1615179)Termination phase: shuffling
% 0.21/0.38 % (1615179)Time elapsed: 0.009 s
% 0.21/0.38 % (1615179)Peak memory usage: 10 MB
% 0.21/0.38 % (1615179)Instructions burned: 18 (million)
% 0.21/0.38 % (1615184)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=675984791:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.38 % (1615188)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3741359886:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (1615190)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3751709944:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.38 % (1615188)Instruction limit reached!
% 0.21/0.38 % (1615188)------------------------------
% 0.21/0.38 % (1615188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1615188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1615188)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1615188)Termination reason: Instruction limit
% 0.21/0.38 % (1615188)Termination phase: shuffling
% 0.21/0.38 % (1615188)Time elapsed: 0.002 s
% 0.21/0.38 % (1615188)Peak memory usage: 10 MB
% 0.21/0.38 % (1615188)Instructions burned: 3 (million)
% 1.10/0.43 % (1615190)Instruction limit reached!
% 1.10/0.43 % (1615190)------------------------------
% 1.10/0.43 % (1615190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615190)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615190)Termination reason: Instruction limit
% 1.10/0.43 % (1615190)Termination phase: shuffling
% 1.10/0.43 % (1615190)Time elapsed: 0.003 s
% 1.10/0.43 % (1615190)Peak memory usage: 10 MB
% 1.10/0.43 % (1615190)Instructions burned: 6 (million)
% 1.10/0.43 % (1615193)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.43 % (1615193)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2569302435:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.10/0.43 % (1615198)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
% 1.10/0.43 % (1615193)Instruction limit reached!
% 1.10/0.43 % (1615193)------------------------------
% 1.10/0.43 % (1615193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615198)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.43 % (1615193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615193)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615193)Termination reason: Instruction limit
% 1.10/0.43 % (1615193)Termination phase: shuffling
% 1.10/0.43 % (1615193)Time elapsed: 0.004 s
% 1.10/0.43 % (1615193)Peak memory usage: 10 MB
% 1.10/0.43 % (1615193)Instructions burned: 9 (million)
% 1.10/0.43 % (1615198)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2204125737:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.10/0.43 % (1615178)Instruction limit reached!
% 1.10/0.43 % (1615178)------------------------------
% 1.10/0.43 % (1615178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615178)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615178)Termination reason: Instruction limit
% 1.10/0.43 % (1615178)Termination phase: Function definition elimination
% 1.10/0.43 % (1615178)Time elapsed: 0.040 s
% 1.10/0.43 % (1615178)Peak memory usage: 12 MB
% 1.10/0.43 % (1615178)Instructions burned: 89 (million)
% 1.10/0.43 % (1615197)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=735366638:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.10/0.43 % (1615198)Instruction limit reached!
% 1.10/0.43 % (1615198)------------------------------
% 1.10/0.43 % (1615198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615198)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615198)Termination reason: Instruction limit
% 1.10/0.43 % (1615198)Termination phase: Property scanning
% 1.10/0.43 % (1615198)Time elapsed: 0.007 s
% 1.10/0.43 % (1615198)Peak memory usage: 10 MB
% 1.10/0.43 % (1615198)Instructions burned: 32 (million)
% 1.10/0.43 % (1615183)Instruction limit reached!
% 1.10/0.43 % (1615183)------------------------------
% 1.10/0.43 % (1615183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615183)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615183)Termination reason: Instruction limit
% 1.10/0.43 % (1615183)Termination phase: Property scanning
% 1.10/0.43 % (1615183)Time elapsed: 0.041 s
% 1.10/0.43 % (1615183)Peak memory usage: 12 MB
% 1.10/0.43 % (1615183)Instructions burned: 76 (million)
% 1.10/0.43 % (1615197)Instruction limit reached!
% 1.10/0.43 % (1615197)------------------------------
% 1.10/0.43 % (1615197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.43 % (1615197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.43 % (1615197)CaDiCaL version: 2.1.3
% 1.10/0.43 % (1615197)Termination reason: Instruction limit
% 1.10/0.46 % (1615197)Termination phase: shuffling
% 1.10/0.46 % (1615197)Time elapsed: 0.006 s
% 1.10/0.46 % (1615197)Peak memory usage: 10 MB
% 1.10/0.46 % (1615197)Instructions burned: 14 (million)
% 1.10/0.46 % (1615204)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.10/0.46 % (1615204)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=2574305455:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.10/0.46 % (1615204)Instruction limit reached!
% 1.10/0.46 % (1615204)------------------------------
% 1.10/0.46 % (1615204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.46 % (1615204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.46 % (1615204)CaDiCaL version: 2.1.3
% 1.10/0.46 % (1615204)Termination reason: Instruction limit
% 1.10/0.46 % (1615204)Termination phase: shuffling
% 1.10/0.46 % (1615204)Time elapsed: 0.001 s
% 1.10/0.46 % (1615204)Peak memory usage: 10 MB
% 1.10/0.46 % (1615204)Instructions burned: 3 (million)
% 1.10/0.46 % (1615200)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=173490765:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.10/0.46 % (1615202)lrs+10_1_si=on:cs=on:random_seed=712687812:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.10/0.46 % (1615202)Instruction limit reached!
% 1.10/0.46 % (1615202)------------------------------
% 1.10/0.46 % (1615202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.46 % (1615202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.46 % (1615202)CaDiCaL version: 2.1.3
% 1.10/0.46 % (1615202)Termination reason: Instruction limit
% 1.10/0.46 % (1615202)Termination phase: shuffling
% 1.10/0.46 % (1615202)Time elapsed: 0.004 s
% 1.10/0.46 % (1615202)Peak memory usage: 10 MB
% 1.10/0.46 % (1615202)Instructions burned: 9 (million)
% 1.10/0.46 % (1615208)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=850637132:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.10/0.46 % (1615205)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=322698950:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.10/0.46 % (1615206)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=898641591:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.10/0.46 % (1615208)Instruction limit reached!
% 1.10/0.46 % (1615208)------------------------------
% 1.10/0.46 % (1615208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.46 % (1615208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.46 % (1615208)CaDiCaL version: 2.1.3
% 1.10/0.46 % (1615208)Termination reason: Instruction limit
% 1.10/0.46 % (1615208)Termination phase: Preprocessing 1
% 1.10/0.46 % (1615208)Time elapsed: 0.006 s
% 1.10/0.46 % (1615208)Peak memory usage: 10 MB
% 1.10/0.46 % (1615208)Instructions burned: 25 (million)
% 1.10/0.46 % (1615215)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=10558824:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.10/0.46 % (1615211)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2839682618:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.46 % (1615205)Instruction limit reached!
% 1.10/0.46 % (1615205)------------------------------
% 1.10/0.46 % (1615205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.46 % (1615205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.46 % (1615205)CaDiCaL version: 2.1.3
% 1.10/0.46 % (1615205)Termination reason: Instruction limit
% 1.10/0.46 % (1615205)Termination phase: Saturation
% 1.10/0.46 % (1615205)Time elapsed: 0.020 s
% 1.10/0.46 % (1615205)Peak memory usage: 12 MB
% 1.10/0.46 % (1615205)Instructions burned: 39 (million)
% 1.10/0.46 % (1615211)Instruction limit reached!
% 1.10/0.46 % (1615211)------------------------------
% 1.10/0.46 % (1615211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.46 % (1615211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615211)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615211)Termination reason: Instruction limit
% 1.10/0.50 % (1615211)Termination phase: shuffling
% 1.10/0.50 % (1615211)Time elapsed: 0.007 s
% 1.10/0.50 % (1615211)Peak memory usage: 10 MB
% 1.10/0.50 % (1615211)Instructions burned: 16 (million)
% 1.10/0.50 % (1615206)Refutation not found, incomplete strategy
% 1.10/0.50 % (1615206)------------------------------
% 1.10/0.50 % (1615206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615206)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615206)Termination reason: Refutation not found, incomplete strategy
% 1.10/0.50 % (1615206)Time elapsed: 0.023 s
% 1.10/0.50 % (1615206)Peak memory usage: 12 MB
% 1.10/0.50 % (1615206)Instructions burned: 52 (million)
% 1.10/0.50 % (1615206)------------------------------
% 1.10/0.50 % (1615206)------------------------------
% 1.10/0.50 % (1615218)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=992019846:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.50 % (1615219)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=790174286: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)
% 1.10/0.50 % (1615219)Instruction limit reached!
% 1.10/0.50 % (1615219)------------------------------
% 1.10/0.50 % (1615219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615219)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615219)Termination reason: Instruction limit
% 1.10/0.50 % (1615219)Termination phase: shuffling
% 1.10/0.50 % (1615219)Time elapsed: 0.002 s
% 1.10/0.50 % (1615219)Peak memory usage: 10 MB
% 1.10/0.50 % (1615219)Instructions burned: 3 (million)
% 1.10/0.50 % (1615220)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2256998943:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.10/0.50 % (1615218)Instruction limit reached!
% 1.10/0.50 % (1615218)------------------------------
% 1.10/0.50 % (1615218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615218)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615218)Termination reason: Instruction limit
% 1.10/0.50 % (1615218)Termination phase: shuffling
% 1.10/0.50 % (1615218)Time elapsed: 0.008 s
% 1.10/0.50 % (1615218)Peak memory usage: 10 MB
% 1.10/0.50 % (1615218)Instructions burned: 16 (million)
% 1.10/0.50 % (1615220)Instruction limit reached!
% 1.10/0.50 % (1615220)------------------------------
% 1.10/0.50 % (1615220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615220)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615220)Termination reason: Instruction limit
% 1.10/0.50 % (1615220)Termination phase: Property scanning
% 1.10/0.50 % (1615220)Time elapsed: 0.012 s
% 1.10/0.50 % (1615220)Peak memory usage: 10 MB
% 1.10/0.50 % (1615220)Instructions burned: 27 (million)
% 1.10/0.50 % (1615224)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2596282917:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.10/0.50 % (1615225)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1854156314:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.10/0.50 % (1615184)Instruction limit reached!
% 1.10/0.50 % (1615184)------------------------------
% 1.10/0.50 % (1615184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.50 % (1615184)CaDiCaL version: 2.1.3
% 1.10/0.50 % (1615184)Termination reason: Instruction limit
% 1.10/0.50 % (1615184)Termination phase: Saturation
% 1.10/0.50 % (1615184)Time elapsed: 0.126 s
% 1.10/0.50 % (1615184)Peak memory usage: 13 MB
% 1.10/0.50 % (1615184)Instructions burned: 157 (million)
% 1.10/0.50 % (1615200)Instruction limit reached!
% 1.10/0.50 % (1615200)------------------------------
% 1.10/0.50 % (1615200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.50 % (1615200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615200)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615200)Termination reason: Instruction limit
% 1.82/0.56 % (1615200)Termination phase: Saturation
% 1.82/0.56 % (1615200)Time elapsed: 0.084 s
% 1.82/0.56 % (1615200)Peak memory usage: 12 MB
% 1.82/0.56 % (1615200)Instructions burned: 87 (million)
% 1.82/0.56 % (1615226)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
% 1.82/0.56 % (1615226)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.82/0.56 % (1615224)Instruction limit reached!
% 1.82/0.56 % (1615224)------------------------------
% 1.82/0.56 % (1615224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.56 % (1615224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615224)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615224)Termination reason: Instruction limit
% 1.82/0.56 % (1615224)Termination phase: Property scanning
% 1.82/0.56 % (1615224)Time elapsed: 0.010 s
% 1.82/0.56 % (1615224)Peak memory usage: 10 MB
% 1.82/0.56 % (1615224)Instructions burned: 23 (million)
% 1.82/0.56 % (1615226)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=436498537:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.82/0.56 % (1615226)Instruction limit reached!
% 1.82/0.56 % (1615226)------------------------------
% 1.82/0.56 % (1615226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.56 % (1615226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615226)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615226)Termination reason: Instruction limit
% 1.82/0.56 % (1615226)Termination phase: shuffling
% 1.82/0.56 % (1615226)Time elapsed: 0.007 s
% 1.82/0.56 % (1615226)Peak memory usage: 10 MB
% 1.82/0.56 % (1615226)Instructions burned: 16 (million)
% 1.82/0.56 % (1615229)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.82/0.56 % (1615230)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=3300438895:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.82/0.56 % (1615229)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=4201416539:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.82/0.56 % (1615231)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2785108652:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.82/0.56 % (1615215)Instruction limit reached!
% 1.82/0.56 % (1615215)------------------------------
% 1.82/0.56 % (1615215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.56 % (1615215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615215)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615215)Termination reason: Instruction limit
% 1.82/0.56 % (1615215)Termination phase: Saturation
% 1.82/0.56 % (1615215)Time elapsed: 0.082 s
% 1.82/0.56 % (1615215)Peak memory usage: 15 MB
% 1.82/0.56 % (1615215)Instructions burned: 329 (million)
% 1.82/0.56 % (1615229)Instruction limit reached!
% 1.82/0.56 % (1615229)------------------------------
% 1.82/0.56 % (1615229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.56 % (1615229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615229)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615229)Termination reason: Instruction limit
% 1.82/0.56 % (1615229)Termination phase: shuffling
% 1.82/0.56 % (1615229)Time elapsed: 0.004 s
% 1.82/0.56 % (1615229)Peak memory usage: 10 MB
% 1.82/0.56 % (1615229)Instructions burned: 8 (million)
% 1.82/0.56 % (1615231)Instruction limit reached!
% 1.82/0.56 % (1615231)------------------------------
% 1.82/0.56 % (1615231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.56 % (1615231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.56 % (1615231)CaDiCaL version: 2.1.3
% 1.82/0.56 % (1615231)Termination reason: Instruction limit
% 1.82/0.56 % (1615231)Termination phase: shuffling
% 2.28/0.63 % (1615231)Time elapsed: 0.004 s
% 2.28/0.63 % (1615231)Peak memory usage: 10 MB
% 2.28/0.63 % (1615231)Instructions burned: 9 (million)
% 2.28/0.63 % (1615225)Instruction limit reached!
% 2.28/0.63 % (1615225)------------------------------
% 2.28/0.63 % (1615225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.63 % (1615225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.63 % (1615225)CaDiCaL version: 2.1.3
% 2.28/0.63 % (1615225)Termination reason: Instruction limit
% 2.28/0.63 % (1615225)Termination phase: Property scanning
% 2.28/0.63 % (1615225)Time elapsed: 0.034 s
% 2.28/0.63 % (1615225)Peak memory usage: 12 MB
% 2.28/0.63 % (1615225)Instructions burned: 60 (million)
% 2.28/0.63 % (1615230)Instruction limit reached!
% 2.28/0.63 % (1615230)------------------------------
% 2.28/0.63 % (1615230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.63 % (1615230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.63 % (1615230)CaDiCaL version: 2.1.3
% 2.28/0.63 % (1615230)Termination reason: Instruction limit
% 2.28/0.63 % (1615230)Termination phase: Property scanning
% 2.28/0.63 % (1615230)Time elapsed: 0.014 s
% 2.28/0.63 % (1615230)Peak memory usage: 10 MB
% 2.28/0.63 % (1615230)Instructions burned: 33 (million)
% 2.28/0.63 % (1615237)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3344952231:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.28/0.63 % (1615237)Instruction limit reached!
% 2.28/0.63 % (1615237)------------------------------
% 2.28/0.63 % (1615237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.63 % (1615237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.63 % (1615237)CaDiCaL version: 2.1.3
% 2.28/0.63 % (1615237)Termination reason: Instruction limit
% 2.28/0.63 % (1615237)Termination phase: Property scanning
% 2.28/0.63 % (1615237)Time elapsed: 0.005 s
% 2.28/0.63 % (1615237)Peak memory usage: 10 MB
% 2.28/0.63 % (1615237)Instructions burned: 23 (million)
% 2.28/0.63 % (1615238)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1978291085:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.28/0.63 % (1615233)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=656905629:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.28/0.63 % (1615239)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2156551122:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.28/0.63 % (1615240)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2049846794:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.28/0.63 % (1615243)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.28/0.63 % (1615241)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1453838948:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.28/0.63 % (1615243)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2665397599:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.28/0.63 % (1615233)Instruction limit reached!
% 2.28/0.63 % (1615233)------------------------------
% 2.28/0.63 % (1615233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.63 % (1615233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.63 % (1615233)CaDiCaL version: 2.1.3
% 2.28/0.63 % (1615233)Termination reason: Instruction limit
% 2.28/0.63 % (1615233)Termination phase: Property scanning
% 2.28/0.63 % (1615233)Time elapsed: 0.019 s
% 2.28/0.63 % (1615233)Peak memory usage: 10 MB
% 2.28/0.63 % (1615233)Instructions burned: 23 (million)
% 2.28/0.63 % (1615243)Instruction limit reached!
% 2.28/0.63 % (1615243)------------------------------
% 2.28/0.63 % (1615243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.63 % (1615243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.63 % (1615243)CaDiCaL version: 2.1.3
% 2.28/0.63 % (1615243)Termination reason: Instruction limit
% 2.28/0.63 % (1615243)Termination phase: shuffling
% 2.28/0.63 % (1615243)Time elapsed: 0.006 s
% 2.28/0.63 % (1615243)Peak memory usage: 10 MB
% 2.28/0.63 % (1615243)Instructions burned: 7 (million)
% 2.82/0.72 % (1615250)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2028588135:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.82/0.72 % (1615240)Refutation not found, incomplete strategy
% 2.82/0.72 % (1615240)------------------------------
% 2.82/0.72 % (1615240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.72 % (1615240)CaDiCaL version: 2.1.3
% 2.82/0.72 % (1615240)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.72 % (1615240)Time elapsed: 0.030 s
% 2.82/0.72 % (1615240)Peak memory usage: 13 MB
% 2.82/0.72 % (1615240)Instructions burned: 65 (million)
% 2.82/0.72 % (1615240)------------------------------
% 2.82/0.72 % (1615240)------------------------------
% 2.82/0.72 % (1615251)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=672696291: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)
% 2.82/0.72 % (1615241)Instruction limit reached!
% 2.82/0.72 % (1615241)------------------------------
% 2.82/0.72 % (1615241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.72 % (1615241)CaDiCaL version: 2.1.3
% 2.82/0.72 % (1615241)Termination reason: Instruction limit
% 2.82/0.72 % (1615241)Termination phase: Property scanning
% 2.82/0.72 % (1615241)Time elapsed: 0.035 s
% 2.82/0.72 % (1615241)Peak memory usage: 10 MB
% 2.82/0.72 % (1615241)Instructions burned: 42 (million)
% 2.82/0.72 % (1615253)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.82/0.72 % (1615253)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3185662587:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.82/0.72 % (1615239)Instruction limit reached!
% 2.82/0.72 % (1615239)------------------------------
% 2.82/0.72 % (1615239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.72 % (1615239)CaDiCaL version: 2.1.3
% 2.82/0.72 % (1615239)Termination reason: Instruction limit
% 2.82/0.72 % (1615239)Termination phase: Saturation
% 2.82/0.72 % (1615239)Time elapsed: 0.061 s
% 2.82/0.72 % (1615239)Peak memory usage: 13 MB
% 2.82/0.72 % (1615239)Instructions burned: 145 (million)
% 2.82/0.72 % (1615253)Instruction limit reached!
% 2.82/0.72 % (1615253)------------------------------
% 2.82/0.72 % (1615253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.72 % (1615253)CaDiCaL version: 2.1.3
% 2.82/0.72 % (1615253)Termination reason: Instruction limit
% 2.82/0.72 % (1615253)Termination phase: shuffling
% 2.82/0.72 % (1615253)Time elapsed: 0.004 s
% 2.82/0.72 % (1615253)Peak memory usage: 10 MB
% 2.82/0.72 % (1615253)Instructions burned: 8 (million)
% 2.82/0.72 % (1615255)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=162843222:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.82/0.72 % (1615250)Instruction limit reached!
% 2.82/0.72 % (1615250)------------------------------
% 2.82/0.72 % (1615250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.72 % (1615250)CaDiCaL version: 2.1.3
% 2.82/0.72 % (1615250)Termination reason: Instruction limit
% 2.82/0.72 % (1615250)Termination phase: Saturation
% 2.82/0.72 % (1615250)Time elapsed: 0.045 s
% 2.82/0.72 % (1615250)Peak memory usage: 14 MB
% 2.82/0.72 % (1615250)Instructions burned: 182 (million)
% 2.82/0.72 % (1615257)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1412417886:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.82/0.72 % (1615255)Instruction limit reached!
% 2.82/0.72 % (1615255)------------------------------
% 2.82/0.72 % (1615255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.72 % (1615255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.79 % (1615255)CaDiCaL version: 2.1.3
% 2.82/0.79 % (1615255)Termination reason: Instruction limit
% 2.82/0.79 % (1615255)Termination phase: Property scanning
% 2.82/0.79 % (1615255)Time elapsed: 0.010 s
% 2.82/0.79 % (1615255)Peak memory usage: 10 MB
% 2.82/0.79 % (1615255)Instructions burned: 22 (million)
% 2.82/0.79 % (1615260)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4201721933:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.82/0.79 % (1615257)Instruction limit reached!
% 2.82/0.79 % (1615257)------------------------------
% 2.82/0.79 % (1615257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.79 % (1615257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.79 % (1615257)CaDiCaL version: 2.1.3
% 2.82/0.79 % (1615257)Termination reason: Instruction limit
% 2.82/0.79 % (1615257)Termination phase: shuffling
% 2.82/0.79 % (1615257)Time elapsed: 0.008 s
% 2.82/0.79 % (1615257)Peak memory usage: 10 MB
% 2.82/0.79 % (1615257)Instructions burned: 19 (million)
% 2.82/0.79 % (1615258)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2244383042:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.82/0.79 % (1615262)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1788013997:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.82/0.79 % (1615264)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2878519245:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.82/0.79 % (1615262)Instruction limit reached!
% 2.82/0.79 % (1615262)------------------------------
% 2.82/0.79 % (1615262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.79 % (1615262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.79 % (1615262)CaDiCaL version: 2.1.3
% 2.82/0.79 % (1615262)Termination reason: Instruction limit
% 2.82/0.79 % (1615262)Termination phase: Preprocessing 3
% 2.82/0.79 % (1615262)Time elapsed: 0.021 s
% 2.82/0.79 % (1615262)Peak memory usage: 11 MB
% 2.82/0.79 % (1615262)Instructions burned: 46 (million)
% 2.82/0.79 % (1615251)Instruction limit reached!
% 2.82/0.79 % (1615251)------------------------------
% 2.82/0.79 % (1615251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.79 % (1615251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.79 % (1615251)CaDiCaL version: 2.1.3
% 2.82/0.79 % (1615251)Termination reason: Instruction limit
% 2.82/0.79 % (1615251)Termination phase: Saturation
% 2.82/0.79 % (1615251)Time elapsed: 0.088 s
% 2.82/0.79 % (1615251)Peak memory usage: 13 MB
% 2.82/0.79 % (1615251)Instructions burned: 170 (million)
% 2.82/0.79 % (1615181)Instruction limit reached!
% 2.82/0.79 % (1615181)------------------------------
% 2.82/0.79 % (1615181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.79 % (1615181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.79 % (1615181)CaDiCaL version: 2.1.3
% 2.82/0.79 % (1615181)Termination reason: Instruction limit
% 2.82/0.79 % (1615181)Termination phase: Saturation
% 2.82/0.79 % (1615181)Time elapsed: 0.320 s
% 2.82/0.79 % (1615181)Peak memory usage: 19 MB
% 2.82/0.79 % (1615181)Instructions burned: 637 (million)
% 2.82/0.79 % (1615268)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2339145708:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.82/0.79 % (1615269)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.82/0.79 % (1615269)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3578418977:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.82/0.79 % (1615268)Instruction limit reached!
% 2.82/0.79 % (1615268)------------------------------
% 2.82/0.79 % (1615268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.79 % (1615268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615268)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615268)Termination reason: Instruction limit
% 4.08/0.91 % (1615268)Termination phase: Property scanning
% 4.08/0.91 % (1615268)Time elapsed: 0.010 s
% 4.08/0.91 % (1615268)Peak memory usage: 10 MB
% 4.08/0.91 % (1615268)Instructions burned: 23 (million)
% 4.08/0.91 % (1615270)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1351634826:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 4.08/0.91 % (1615270)Instruction limit reached!
% 4.08/0.91 % (1615270)------------------------------
% 4.08/0.91 % (1615270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.08/0.91 % (1615270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615270)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615270)Termination reason: Instruction limit
% 4.08/0.91 % (1615270)Termination phase: shuffling
% 4.08/0.91 % (1615270)Time elapsed: 0.008 s
% 4.08/0.91 % (1615270)Peak memory usage: 10 MB
% 4.08/0.91 % (1615270)Instructions burned: 14 (million)
% 4.08/0.91 % (1615273)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=526458166:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 4.08/0.91 % (1615275)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1380897838:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.08/0.91 % (1615273)Instruction limit reached!
% 4.08/0.91 % (1615273)------------------------------
% 4.08/0.91 % (1615273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.08/0.91 % (1615273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615273)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615273)Termination reason: Instruction limit
% 4.08/0.91 % (1615273)Termination phase: Property scanning
% 4.08/0.91 % (1615273)Time elapsed: 0.028 s
% 4.08/0.91 % (1615273)Peak memory usage: 11 MB
% 4.08/0.91 % (1615273)Instructions burned: 67 (million)
% 4.08/0.91 % (1615264)Refutation not found, incomplete strategy
% 4.08/0.91 % (1615264)------------------------------
% 4.08/0.91 % (1615264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.08/0.91 % (1615264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615264)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615264)Termination reason: Refutation not found, incomplete strategy
% 4.08/0.91 % (1615264)Time elapsed: 0.097 s
% 4.08/0.91 % (1615264)Peak memory usage: 15 MB
% 4.08/0.91 % (1615264)Instructions burned: 212 (million)
% 4.08/0.91 % (1615264)------------------------------
% 4.08/0.91 % (1615264)------------------------------
% 4.08/0.91 % (1615275)Instruction limit reached!
% 4.08/0.91 % (1615275)------------------------------
% 4.08/0.91 % (1615275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.08/0.91 % (1615275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615275)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615275)Termination reason: Instruction limit
% 4.08/0.91 % (1615275)Termination phase: Property scanning
% 4.08/0.91 % (1615275)Time elapsed: 0.031 s
% 4.08/0.91 % (1615275)Peak memory usage: 10 MB
% 4.08/0.91 % (1615275)Instructions burned: 52 (million)
% 4.08/0.91 % (1615278)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1433788123:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.08/0.91 % (1615279)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1279137192:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.08/0.91 % (1615280)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2645750409:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.08/0.91 % (1615278)Instruction limit reached!
% 4.08/0.91 % (1615278)------------------------------
% 4.08/0.91 % (1615278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.08/0.91 % (1615278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/0.91 % (1615278)CaDiCaL version: 2.1.3
% 4.08/0.91 % (1615278)Termination reason: Instruction limit
% 4.08/0.91 % (1615278)Termination phase: Property scanning
% 4.08/0.91 % (1615278)Time elapsed: 0.014 s
% 4.08/0.91 % (1615278)Peak memory usage: 10 MB
% 5.44/1.10 % (1615278)Instructions burned: 32 (million)
% 5.44/1.10 % (1615269)Instruction limit reached!
% 5.44/1.10 % (1615269)------------------------------
% 5.44/1.10 % (1615269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615269)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615269)Termination reason: Instruction limit
% 5.44/1.10 % (1615269)Termination phase: Saturation
% 5.44/1.10 % (1615269)Time elapsed: 0.089 s
% 5.44/1.10 % (1615269)Peak memory usage: 14 MB
% 5.44/1.10 % (1615269)Instructions burned: 202 (million)
% 5.44/1.10 % (1615280)Instruction limit reached!
% 5.44/1.10 % (1615280)------------------------------
% 5.44/1.10 % (1615280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615280)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615280)Termination reason: Instruction limit
% 5.44/1.10 % (1615280)Termination phase: Property scanning
% 5.44/1.10 % (1615280)Time elapsed: 0.017 s
% 5.44/1.10 % (1615280)Peak memory usage: 10 MB
% 5.44/1.10 % (1615280)Instructions burned: 34 (million)
% 5.44/1.10 % (1615285)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.44/1.10 % (1615284)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2487391607:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.44/1.10 % (1615285)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4186975764:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.44/1.10 % (1615286)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1288944748:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.44/1.10 % (1615284)Instruction limit reached!
% 5.44/1.10 % (1615284)------------------------------
% 5.44/1.10 % (1615284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615284)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615284)Termination reason: Instruction limit
% 5.44/1.10 % (1615284)Termination phase: Property scanning
% 5.44/1.10 % (1615284)Time elapsed: 0.028 s
% 5.44/1.10 % (1615284)Peak memory usage: 11 MB
% 5.44/1.10 % (1615284)Instructions burned: 67 (million)
% 5.44/1.10 % (1615279)Instruction limit reached!
% 5.44/1.10 % (1615279)------------------------------
% 5.44/1.10 % (1615279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615279)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615279)Termination reason: Instruction limit
% 5.44/1.10 % (1615279)Termination phase: Saturation
% 5.44/1.10 % (1615279)Time elapsed: 0.060 s
% 5.44/1.10 % (1615279)Peak memory usage: 13 MB
% 5.44/1.10 % (1615279)Instructions burned: 137 (million)
% 5.44/1.10 % (1615258)Refutation not found, incomplete strategy
% 5.44/1.10 % (1615258)------------------------------
% 5.44/1.10 % (1615258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615258)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615258)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.10 % (1615258)Time elapsed: 0.203 s
% 5.44/1.10 % (1615258)Peak memory usage: 14 MB
% 5.44/1.10 % (1615258)Instructions burned: 247 (million)
% 5.44/1.10 % (1615258)------------------------------
% 5.44/1.10 % (1615258)------------------------------
% 5.44/1.10 % (1615290)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1082652607:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.44/1.10 % (1615291)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=859151623:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.44/1.10 % (1615260)Instruction limit reached!
% 5.44/1.10 % (1615260)------------------------------
% 5.44/1.10 % (1615260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.10 % (1615260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.10 % (1615260)CaDiCaL version: 2.1.3
% 5.44/1.10 % (1615260)Termination reason: Instruction limit
% 5.44/1.10 % (1615260)Termination phase: Saturation
% 5.44/1.12 % (1615260)Time elapsed: 0.226 s
% 5.44/1.12 % (1615260)Peak memory usage: 22 MB
% 5.44/1.12 % (1615260)Instructions burned: 857 (million)
% 5.44/1.12 % (1615292)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3627217453:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.44/1.12 % (1615295)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2629867088:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.44/1.12 % (1615291)Refutation not found, incomplete strategy
% 5.44/1.12 % (1615291)------------------------------
% 5.44/1.12 % (1615291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615291)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615291)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.12 % (1615291)Time elapsed: 0.021 s
% 5.44/1.12 % (1615291)Peak memory usage: 12 MB
% 5.44/1.12 % (1615291)Instructions burned: 48 (million)
% 5.44/1.12 % (1615291)------------------------------
% 5.44/1.12 % (1615291)------------------------------
% 5.44/1.12 % (1615290)Instruction limit reached!
% 5.44/1.12 % (1615290)------------------------------
% 5.44/1.12 % (1615290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615290)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615290)Termination reason: Instruction limit
% 5.44/1.12 % (1615290)Termination phase: Saturation
% 5.44/1.12 % (1615290)Time elapsed: 0.040 s
% 5.44/1.12 % (1615290)Peak memory usage: 12 MB
% 5.44/1.12 % (1615290)Instructions burned: 96 (million)
% 5.44/1.12 % (1615298)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1031061733:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.44/1.12 % (1615285)Instruction limit reached!
% 5.44/1.12 % (1615285)------------------------------
% 5.44/1.12 % (1615285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615285)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615285)Termination reason: Instruction limit
% 5.44/1.12 % (1615285)Termination phase: Saturation
% 5.44/1.12 % (1615285)Time elapsed: 0.098 s
% 5.44/1.12 % (1615285)Peak memory usage: 13 MB
% 5.44/1.12 % (1615285)Instructions burned: 180 (million)
% 5.44/1.12 % (1615299)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1931577350:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.44/1.12 % (1615301)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2793106961:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.44/1.12 % (1615299)Instruction limit reached!
% 5.44/1.12 % (1615299)------------------------------
% 5.44/1.12 % (1615299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615299)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615299)Termination reason: Instruction limit
% 5.44/1.12 % (1615299)Termination phase: Property scanning
% 5.44/1.12 % (1615299)Time elapsed: 0.019 s
% 5.44/1.12 % (1615299)Peak memory usage: 10 MB
% 5.44/1.12 % (1615299)Instructions burned: 46 (million)
% 5.44/1.12 % (1615304)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2196764193:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.44/1.12 % (1615298)Instruction limit reached!
% 5.44/1.12 % (1615298)------------------------------
% 5.44/1.12 % (1615298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615298)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615298)Termination reason: Instruction limit
% 5.44/1.12 % (1615298)Termination phase: Saturation
% 5.44/1.12 % (1615298)Time elapsed: 0.062 s
% 5.44/1.12 % (1615298)Peak memory usage: 13 MB
% 5.44/1.12 % (1615298)Instructions burned: 130 (million)
% 5.44/1.12 % (1615286)Instruction limit reached!
% 5.44/1.12 % (1615286)------------------------------
% 5.44/1.12 % (1615286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615286)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615286)Termination reason: Instruction limit
% 5.44/1.12 % (1615286)Termination phase: Saturation
% 5.44/1.12 % (1615286)Time elapsed: 0.152 s
% 5.44/1.12 % (1615286)Peak memory usage: 15 MB
% 5.44/1.12 % (1615286)Instructions burned: 247 (million)
% 5.44/1.12 % (1615306)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1279600295:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.44/1.12 % (1615295)Instruction limit reached!
% 5.44/1.12 % (1615295)------------------------------
% 5.44/1.12 % (1615295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615295)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615295)Termination reason: Instruction limit
% 5.44/1.12 % (1615295)Termination phase: Saturation
% 5.44/1.12 % (1615295)Time elapsed: 0.129 s
% 5.44/1.12 % (1615295)Peak memory usage: 17 MB
% 5.44/1.12 % (1615295)Instructions burned: 517 (million)
% 5.44/1.12 % (1615307)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2573141424:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.44/1.12 % (1615309)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=938426861:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.44/1.12 % (1615306)Instruction limit reached!
% 5.44/1.12 % (1615306)------------------------------
% 5.44/1.12 % (1615306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615306)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615306)Termination reason: Instruction limit
% 5.44/1.12 % (1615306)Termination phase: Saturation
% 5.44/1.12 % (1615306)Time elapsed: 0.040 s
% 5.44/1.12 % (1615306)Peak memory usage: 12 MB
% 5.44/1.12 % (1615306)Instructions burned: 97 (million)
% 5.44/1.12 % (1615309)Instruction limit reached!
% 5.44/1.12 % (1615309)------------------------------
% 5.44/1.12 % (1615309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615309)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615309)Termination reason: Instruction limit
% 5.44/1.12 % (1615309)Termination phase: Saturation
% 5.44/1.12 % (1615309)Time elapsed: 0.023 s
% 5.44/1.12 % (1615309)Peak memory usage: 12 MB
% 5.44/1.12 % (1615309)Instructions burned: 107 (million)
% 5.44/1.12 % (1615312)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3884599557:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 5.44/1.12 % (1615313)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3973556042:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 5.44/1.12 % (1615307)Instruction limit reached!
% 5.44/1.12 % (1615307)------------------------------
% 5.44/1.12 % (1615307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615307)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615307)Termination reason: Instruction limit
% 5.44/1.12 % (1615307)Termination phase: Property scanning
% 5.44/1.12 % (1615307)Time elapsed: 0.046 s
% 5.44/1.12 % (1615307)Peak memory usage: 11 MB
% 5.44/1.12 % (1615307)Instructions burned: 66 (million)
% 5.44/1.12 % (1615317)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3580434377:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.44/1.12 % (1615304)Instruction limit reached!
% 5.44/1.12 % (1615304)------------------------------
% 5.44/1.12 % (1615304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1615304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1615304)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1615304)Termination reason: Instruction limit
% 5.44/1.12 % (1615304)Termination phase: Saturation
% 5.44/1.12 % (1615304)Time elapsed: 0.213 s
% 5.44/1.12 % (1615304)Peak memory usage: 18 MB
% 5.44/1.12 % (1615304)Instructions burned: 452 (million)
% 5.44/1.12 % (1615292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1615173-1615292"...
% 5.44/1.12 % (1615292)...printing done.
% 5.44/1.12 % (1615292)Refutation found. Thanks to Tanya!
% 5.44/1.12 % SZS status Theorem for theBenchmark
% 5.44/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 5.44/1.13 % (1615292)------------------------------
% 5.44/1.13 % (1615292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.13 % (1615292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.13 % (1615292)CaDiCaL version: 2.1.3
% 5.44/1.13 % (1615292)Termination reason: Refutation
% 5.44/1.13 % (1615292)Time elapsed: 0.314 s
% 5.44/1.13 % (1615292)Peak memory usage: 18 MB
% 5.44/1.13 % (1615292)Instructions burned: 444 (million)
% 5.44/1.13 % (1615173)Success in time 0.882 s
% 5.44/1.13 % Vampire exiting
%------------------------------------------------------------------------------