%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG259^1 : 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 : n010.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 07:45:14 AM UTC 2026
% Result : Theorem 1.26s 0.54s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 13
% Syntax : Number of formulae : 119 ( 33 unt; 0 typ; 7 def)
% Number of atoms : 1147 ( 175 equ; 0 cnn)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 1240 ( 65 ~; 82 |; 0 &; 405 @)
% ( 7 <=>; 628 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 431 ( 427 usr; 191 con; 0-4 aty)
% ( 53 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 151 ( 12 sgn 42 !; 0 ?; 151 :)
% 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_127,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_130,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vNOT: $o > $o ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vAND: $o > $o > $o ).
thf(func_def_138,type,
vIFF: $o > $o > $o ).
thf(func_def_139,type,
sK0: subst ).
thf(func_def_140,type,
sK1: term ).
thf(func_def_141,type,
sK2: term ).
thf(func_def_142,type,
sK3: term ).
thf(func_def_143,type,
sK4: subst ).
thf(func_def_144,type,
sK5: ( subst > term > subst > $o ) > subst ).
thf(func_def_145,type,
sK6: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_146,type,
sK7: ( subst > term > subst > $o ) > subst ).
thf(func_def_147,type,
sK8: ( subst > term > subst > $o ) > term ).
thf(func_def_148,type,
sK9: ( subst > term > subst > $o ) > term > term ).
thf(func_def_149,type,
sK10: ( subst > term > subst > $o ) > subst ).
thf(func_def_150,type,
sK11: ( subst > term > subst > $o ) > term ).
thf(func_def_151,type,
sK12: ( subst > term > subst > $o ) > subst ).
thf(func_def_152,type,
sK13: ( subst > term > subst > $o ) > subst ).
thf(func_def_153,type,
sK14: ( subst > term > subst > $o ) > subst ).
thf(func_def_154,type,
sK15: ( subst > term > subst > $o ) > subst ).
thf(func_def_155,type,
sK16: ( subst > term > subst > $o ) > subst ).
thf(func_def_156,type,
sK17: ( subst > term > subst > $o ) > subst ).
thf(func_def_157,type,
sK18: ( subst > term > subst > $o ) > subst ).
thf(func_def_158,type,
sK19: ( subst > term > subst > $o ) > term > term ).
thf(func_def_159,type,
sK20: ( subst > term > subst > $o ) > term ).
thf(func_def_160,type,
sK21: ( subst > term > subst > $o ) > term ).
thf(func_def_161,type,
sK22: ( subst > term > subst > $o ) > subst ).
thf(func_def_162,type,
sK23: ( subst > term > subst > $o ) > subst ).
thf(func_def_163,type,
sK24: ( subst > term > subst > $o ) > subst ).
thf(func_def_164,type,
sK25: ( subst > term > subst > $o ) > subst ).
thf(func_def_165,type,
sK26: ( subst > term > subst > $o ) > term ).
thf(func_def_166,type,
sK27: ( subst > term > subst > $o ) > subst ).
thf(func_def_167,type,
sK28: ( subst > term > subst > $o ) > subst ).
thf(func_def_168,type,
sK29: ( subst > term > subst > $o ) > term > term ).
thf(func_def_169,type,
sK30: ( subst > term > subst > $o ) > subst ).
thf(func_def_170,type,
sK31: ( subst > term > subst > $o ) > term ).
thf(func_def_171,type,
sK32: ( subst > term > subst > $o ) > subst ).
thf(func_def_172,type,
sK33: ( subst > term > subst > $o ) > term ).
thf(func_def_173,type,
sK34: ( subst > term > subst > $o ) > subst ).
thf(func_def_174,type,
sK35: ( subst > term > subst > $o ) > subst ).
thf(func_def_175,type,
sK36: ( subst > term > subst > $o ) > term ).
thf(func_def_176,type,
sK37: ( subst > term > subst > $o ) > subst ).
thf(func_def_177,type,
sK38: ( subst > term > subst > $o ) > subst ).
thf(func_def_178,type,
sK39: subst > term > subst > $o ).
thf(func_def_179,type,
sK40: ( subst > term > term ) > term ).
thf(func_def_180,type,
sK41: ( subst > term > term ) > term ).
thf(func_def_181,type,
sK42: ( subst > term > term ) > subst ).
thf(func_def_182,type,
sK43: ( subst > term > term ) > subst ).
thf(func_def_183,type,
sK44: ( subst > term > term ) > subst ).
thf(func_def_184,type,
sK45: term ).
thf(func_def_185,type,
sK46: term ).
thf(func_def_186,type,
sK47: term ).
thf(func_def_187,type,
sK48: term ).
thf(func_def_188,type,
sK49: term ).
thf(func_def_189,type,
sK50: ( subst > term > subst > $o ) > term ).
thf(func_def_190,type,
sK51: ( subst > term > subst > $o ) > subst ).
thf(func_def_191,type,
sK52: ( subst > term > subst > $o ) > subst ).
thf(func_def_192,type,
sK53: ( subst > term > subst > $o ) > subst ).
thf(func_def_193,type,
sK54: ( subst > term > subst > $o ) > subst ).
thf(func_def_194,type,
sK55: ( subst > term > subst > $o ) > term ).
thf(func_def_195,type,
sK56: ( subst > term > subst > $o ) > subst ).
thf(func_def_196,type,
sK57: ( subst > term > subst > $o ) > subst ).
thf(func_def_197,type,
sK58: ( subst > term > subst > $o ) > term ).
thf(func_def_198,type,
sK59: ( subst > term > subst > $o ) > term ).
thf(func_def_199,type,
sK60: ( subst > term > subst > $o ) > subst ).
thf(func_def_200,type,
sK61: ( subst > term > subst > $o ) > subst ).
thf(func_def_201,type,
sK62: ( subst > term > subst > $o ) > term ).
thf(func_def_202,type,
sK63: ( subst > term > subst > $o ) > term ).
thf(func_def_203,type,
sK64: ( subst > term > subst > $o ) > term ).
thf(func_def_204,type,
sK65: ( subst > term > subst > $o ) > term ).
thf(func_def_205,type,
sK66: subst > term > subst > $o ).
thf(func_def_206,type,
sK67: term ).
thf(func_def_207,type,
sK68: term ).
thf(func_def_208,type,
sK69: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_209,type,
sK70: ( subst > term > subst > $o ) > term > term ).
thf(func_def_210,type,
sK71: subst > term > subst > $o ).
thf(func_def_211,type,
sK72: ( subst > term > term ) > subst ).
thf(func_def_212,type,
sK73: ( subst > term > term ) > term ).
thf(func_def_213,type,
sK74: ( subst > term > term ) > subst ).
thf(func_def_214,type,
sK75: ( subst > term > term ) > term ).
thf(func_def_215,type,
sK76: ( subst > term > term ) > subst ).
thf(func_def_216,type,
sK77: ( subst > term > term ) > term ).
thf(func_def_217,type,
sK78: term ).
thf(func_def_218,type,
sK79: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_219,type,
sK80: term > ( term > $o ) > term ).
thf(func_def_220,type,
sK81: term > ( term > $o ) > term ).
thf(func_def_221,type,
sK82: subst > term > subst > $o ).
thf(func_def_222,type,
sK83: term > $o ).
thf(func_def_223,type,
sK84: ( subst > term > term ) > subst ).
thf(func_def_224,type,
sK85: ( subst > term > term ) > term ).
thf(func_def_225,type,
sK86: ( subst > term > term ) > subst ).
thf(func_def_226,type,
sK87: ( subst > term > term ) > term ).
thf(func_def_227,type,
sK88: ( subst > term > term ) > subst ).
thf(func_def_228,type,
sK89: ( subst > term > term ) > term ).
thf(func_def_229,type,
sK90: term ).
thf(func_def_230,type,
sK91: term ).
thf(func_def_231,type,
sK92: term ).
thf(func_def_232,type,
sK93: term ).
thf(func_def_233,type,
sK94: term ).
thf(func_def_234,type,
sK95: subst ).
thf(func_def_235,type,
sK96: term ).
thf(func_def_236,type,
sK97: term ).
thf(func_def_237,type,
sK98: term ).
thf(func_def_238,type,
sK99: term ).
thf(func_def_239,type,
sK100: term ).
thf(func_def_240,type,
sK101: subst ).
thf(func_def_241,type,
sK102: term ).
thf(func_def_242,type,
sK103: term ).
thf(func_def_243,type,
sK104: term ).
thf(func_def_244,type,
sK105: term ).
thf(func_def_245,type,
sK106: term ).
thf(func_def_246,type,
sK107: ( term > $o ) > term ).
thf(func_def_247,type,
sK108: term > $o ).
thf(func_def_248,type,
sK109: term ).
thf(func_def_249,type,
sK110: ( term > $o ) > term ).
thf(func_def_250,type,
sK111: ( term > $o ) > term ).
thf(func_def_251,type,
sK112: ( term > $o ) > term ).
thf(func_def_252,type,
sK113: ( term > $o ) > term ).
thf(func_def_253,type,
sK114: ( term > $o ) > term ).
thf(func_def_254,type,
sK115: ( term > $o ) > term ).
thf(func_def_255,type,
sK116: term > $o ).
thf(func_def_256,type,
sK117: term ).
thf(func_def_257,type,
sK118: term ).
thf(func_def_258,type,
sK119: term ).
thf(func_def_259,type,
sK120: ( subst > term > term ) > subst ).
thf(func_def_260,type,
sK121: ( subst > term > term ) > term ).
thf(func_def_261,type,
sK122: ( subst > term > term ) > subst ).
thf(func_def_262,type,
sK123: subst > term > term ).
thf(func_def_263,type,
sK124: term ).
thf(func_def_264,type,
sK125: term ).
thf(func_def_265,type,
sK126: term ).
thf(func_def_266,type,
sK127: term ).
thf(func_def_267,type,
sK128: ( subst > term > subst > $o ) > subst ).
thf(func_def_268,type,
sK129: ( subst > term > subst > $o ) > term ).
thf(func_def_269,type,
sK130: ( subst > term > subst > $o ) > subst ).
thf(func_def_270,type,
sK131: ( subst > term > subst > $o ) > subst ).
thf(func_def_271,type,
sK132: ( subst > term > subst > $o ) > subst ).
thf(func_def_272,type,
sK133: ( subst > term > subst > $o ) > subst ).
thf(func_def_273,type,
sK134: ( subst > term > subst > $o ) > term ).
thf(func_def_274,type,
sK135: ( subst > term > subst > $o ) > term ).
thf(func_def_275,type,
sK136: ( subst > term > subst > $o ) > subst ).
thf(func_def_276,type,
sK137: ( subst > term > subst > $o ) > subst ).
thf(func_def_277,type,
sK138: ( subst > term > subst > $o ) > term ).
thf(func_def_278,type,
sK139: ( subst > term > subst > $o ) > subst ).
thf(func_def_279,type,
sK140: ( subst > term > subst > $o ) > term ).
thf(func_def_280,type,
sK141: subst > term > subst > $o ).
thf(func_def_281,type,
sK142: term ).
thf(func_def_282,type,
sK143: subst ).
thf(func_def_283,type,
sK144: subst ).
thf(func_def_284,type,
sK145: subst ).
thf(func_def_285,type,
sK146: subst ).
thf(func_def_286,type,
sK147: term ).
thf(func_def_287,type,
sK148: term ).
thf(func_def_288,type,
sK149: ( subst > term > term ) > term ).
thf(func_def_289,type,
sK150: ( subst > term > term ) > subst ).
thf(func_def_290,type,
sK151: ( subst > term > term ) > subst ).
thf(func_def_291,type,
sK152: ( subst > term > term ) > subst ).
thf(func_def_292,type,
sK153: ( subst > term > term ) > term ).
thf(func_def_293,type,
sK154: ( subst > term > term ) > subst ).
thf(func_def_294,type,
sK155: subst > term > term ).
thf(func_def_295,type,
sK156: subst > term > term ).
thf(func_def_296,type,
sK157: subst ).
thf(func_def_297,type,
sK158: term ).
thf(func_def_298,type,
sK159: term ).
thf(func_def_299,type,
sK160: term ).
thf(func_def_300,type,
sK161: term ).
thf(func_def_301,type,
sK162: term ).
thf(func_def_302,type,
sK163: subst ).
thf(func_def_303,type,
sK164: subst ).
thf(func_def_304,type,
sK165: term ).
thf(func_def_305,type,
sK166: ( subst > term > subst > $o ) > subst ).
thf(func_def_306,type,
sK167: ( subst > term > subst > $o ) > subst ).
thf(func_def_307,type,
sK168: ( subst > term > subst > $o ) > term ).
thf(func_def_308,type,
sK169: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_309,type,
sK170: ( subst > term > subst > $o ) > term ).
thf(func_def_310,type,
sK171: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
thf(func_def_315,type,
sK176: ( subst > term > subst > $o ) > subst ).
thf(func_def_316,type,
sK177: ( subst > term > subst > $o ) > term ).
thf(func_def_317,type,
sK178: ( subst > term > subst > $o ) > subst ).
thf(func_def_318,type,
sK179: ( subst > term > subst > $o ) > subst ).
thf(func_def_319,type,
sK180: ( subst > term > subst > $o ) > term ).
thf(func_def_320,type,
sK181: ( subst > term > subst > $o ) > subst ).
thf(func_def_321,type,
sK182: ( subst > term > subst > $o ) > term ).
thf(func_def_322,type,
sK183: ( subst > term > subst > $o ) > term ).
thf(func_def_323,type,
sK184: ( subst > term > subst > $o ) > subst ).
thf(func_def_324,type,
sK185: ( subst > term > subst > $o ) > subst ).
thf(func_def_325,type,
sK186: ( subst > term > subst > $o ) > term ).
thf(func_def_326,type,
sK187: ( subst > term > subst > $o ) > subst ).
thf(func_def_327,type,
sK188: ( subst > term > subst > $o ) > subst ).
thf(func_def_328,type,
sK189: ( subst > term > subst > $o ) > subst ).
thf(func_def_329,type,
sK190: ( subst > term > subst > $o ) > term ).
thf(func_def_330,type,
sK191: ( subst > term > subst > $o ) > subst ).
thf(func_def_331,type,
sK192: ( subst > term > subst > $o ) > subst ).
thf(func_def_332,type,
sK193: ( subst > term > subst > $o ) > term ).
thf(func_def_333,type,
sK194: ( subst > term > subst > $o ) > term ).
thf(func_def_334,type,
sK195: ( subst > term > subst > $o ) > subst ).
thf(func_def_335,type,
sK196: ( subst > term > subst > $o ) > subst ).
thf(func_def_336,type,
sK197: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
thf(func_def_343,type,
sK204: ( subst > term > subst > $o ) > term ).
thf(func_def_344,type,
sK205: ( subst > term > subst > $o ) > subst ).
thf(func_def_345,type,
sK206: ( subst > term > subst > $o ) > term ).
thf(func_def_346,type,
sK207: ( subst > term > subst > $o ) > subst ).
thf(func_def_347,type,
sK208: ( subst > term > subst > $o ) > subst ).
thf(func_def_348,type,
sK209: ( subst > term > subst > $o ) > term ).
thf(func_def_349,type,
sK210: ( subst > term > subst > $o ) > subst ).
thf(func_def_350,type,
sK211: ( subst > term > subst > $o ) > subst ).
thf(func_def_351,type,
sK212: ( subst > term > subst > $o ) > term ).
thf(func_def_352,type,
sK213: ( subst > term > subst > $o ) > subst ).
thf(func_def_353,type,
sK214: ( subst > term > subst > $o ) > subst ).
thf(func_def_354,type,
sK215: ( subst > term > subst > $o ) > subst ).
thf(func_def_355,type,
sK216: ( subst > term > subst > $o ) > term ).
thf(func_def_356,type,
sK217: ( subst > term > subst > $o ) > term ).
thf(func_def_357,type,
sK218: ( subst > term > subst > $o ) > subst ).
thf(func_def_358,type,
sK219: ( subst > term > subst > $o ) > subst ).
thf(func_def_359,type,
sK220: ( subst > term > subst > $o ) > term ).
thf(func_def_360,type,
sK221: ( subst > term > subst > $o ) > subst ).
thf(func_def_361,type,
sK222: ( subst > term > subst > $o ) > subst ).
thf(func_def_362,type,
sK223: ( subst > term > subst > $o ) > subst ).
thf(func_def_363,type,
sK224: ( subst > term > subst > $o ) > subst ).
thf(func_def_364,type,
sK225: ( subst > term > subst > $o ) > term ).
thf(func_def_365,type,
sK226: ( subst > term > subst > $o ) > term ).
thf(func_def_366,type,
sK227: ( subst > term > subst > $o ) > subst ).
thf(func_def_367,type,
sK228: ( subst > term > subst > $o ) > subst ).
thf(func_def_368,type,
sK229: ( subst > term > subst > $o ) > subst ).
thf(func_def_369,type,
sK230: ( subst > term > subst > $o ) > term ).
thf(func_def_370,type,
sK231: ( subst > term > subst > $o ) > subst ).
thf(func_def_371,type,
sK232: ( subst > term > subst > $o ) > subst ).
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 ) > term ).
thf(func_def_375,type,
sK236: ( subst > term > subst > $o ) > subst ).
thf(func_def_376,type,
sK237: ( subst > term > subst > $o ) > term ).
thf(func_def_377,type,
sK238: ( subst > term > subst > $o ) > subst ).
thf(func_def_378,type,
sK239: subst > term > subst > $o ).
thf(func_def_379,type,
sK240: ( subst > term > term ) > subst ).
thf(func_def_380,type,
sK241: ( subst > term > term ) > term ).
thf(func_def_381,type,
sK242: ( subst > term > term ) > term ).
thf(func_def_382,type,
sK243: ( subst > term > term ) > subst ).
thf(func_def_383,type,
sK244: ( subst > term > term ) > subst ).
thf(func_def_384,type,
sK245: term ).
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 ).
thf(func_def_389,type,
sK250: term ).
thf(func_def_390,type,
sK251: term ).
thf(func_def_391,type,
sK252: ( term > $o ) > term ).
thf(func_def_392,type,
sK253: ( term > $o ) > term ).
thf(func_def_393,type,
sK254: ( term > $o ) > term ).
thf(func_def_394,type,
sK255: ( term > $o ) > term ).
thf(func_def_395,type,
sK256: term > $o ).
thf(func_def_396,type,
sK257: term > term ).
thf(func_def_397,type,
sK258: term ).
thf(func_def_398,type,
sK259: subst ).
thf(func_def_399,type,
sK260: term ).
thf(func_def_400,type,
sK261: term ).
thf(func_def_401,type,
sK262: ( term > $o ) > term ).
thf(func_def_402,type,
sK263: ( term > $o ) > term ).
thf(func_def_403,type,
sK264: ( term > $o ) > term ).
thf(func_def_404,type,
sK265: ( term > $o ) > subst > term ).
thf(func_def_405,type,
sK266: ( term > $o ) > subst > term ).
thf(func_def_406,type,
sK267: subst > ( term > $o ) > term ).
thf(func_def_407,type,
sK268: subst > ( term > $o ) > term ).
thf(func_def_408,type,
sK269: subst > ( term > $o ) > term ).
thf(func_def_409,type,
sK270: term > $o ).
thf(func_def_410,type,
sK271: term > term ).
thf(func_def_411,type,
sK272: term ).
thf(func_def_412,type,
sK273: subst ).
thf(func_def_413,type,
sK274: subst ).
thf(func_def_414,type,
sK275: term ).
thf(func_def_415,type,
sK276: subst ).
thf(func_def_416,type,
sK277: subst ).
thf(func_def_417,type,
sK278: ( term > $o ) > subst > term ).
thf(func_def_418,type,
sK279: term ).
thf(func_def_419,type,
sK280: subst ).
thf(func_def_420,type,
sK281: term > $o ).
thf(func_def_421,type,
sK282: term ).
thf(f20,axiom,
! [X2: term,X1: term,X0: term] :
( ( ( lam @ X0 )
!= ( ap @ X1 @ X2 ) )
= lamnotap ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',lamnotap) ).
thf(f55,axiom,
( hoasap
= ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f56,axiom,
( ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) )
= hoaslam ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoaslam) ).
thf(f67,axiom,
! [X0: subst > term > term] :
( ( ! [X3: subst,X2: term,X1: subst] :
( ( sub @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ ( comp @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ! [X2: term,X4: term] :
( ( hoaslam @ id
@ ^ [X1: subst,X5: term] : ( X0 @ X1 @ X5 ) )
!= ( hoasap @ id @ X2 @ id @ X4 ) ) )
= hoaslamnotap ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoaslamnotap) ).
thf(f68,axiom,
( ( hoaslamnotap_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoaslamnotap_gthm) ).
thf(f114,conjecture,
hoaslamnotap_gthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoaslamnotap_gthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f119,plain,
~ hoaslamnotap_gthm,
inference(rectify,[],[f115]) ).
thf(f120,plain,
hoaslamnotap_gthm != $true,
inference(fool_elimination,[],[f119]) ).
thf(f133,plain,
! [X0: term,X1: term,X2: term] :
( ( ( lam @ X2 )
!= ( ap @ X1 @ X0 ) )
= lamnotap ),
inference(rectify,[],[f20]) ).
thf(f134,plain,
( lamnotap
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f133]) ).
thf(f144,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f215,plain,
! [X0: subst > term > term] :
( ( ! [X1: subst,X2: term,X3: subst] :
( ( sub @ ( X0 @ X3 @ X2 ) @ X1 )
= ( X0 @ ( comp @ X3 @ X1 ) @ ( sub @ X2 @ X1 ) ) )
=> ! [X4: term,X5: term] :
( ( hoaslam @ id
@ ^ [X6: subst,X7: term] : ( X0 @ X6 @ X7 ) )
!= ( hoasap @ id @ X4 @ id @ X5 ) ) )
= hoaslamnotap ),
inference(rectify,[],[f67]) ).
thf(f216,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) )
!= ( hoasap @ id @ Y2 @ id @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f215]) ).
thf(f234,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f271,plain,
( ( hoaslamnotap_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
thf(f272,plain,
( hoaslamnotap_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f271]) ).
thf(f318,plain,
hoaslamnotap_gthm != $true,
inference(flattening,[],[f120]) ).
thf(f323,plain,
hoaslamnotap_gthm != $true,
inference(cnf_transformation,[],[f318]) ).
thf(f332,plain,
( lamnotap
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f134]) ).
thf(f335,plain,
( hoaslamnotap_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f272]) ).
thf(f352,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf_transformation,[],[f144]) ).
thf(f355,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) )
!= ( hoasap @ id @ Y2 @ id @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f216]) ).
thf(f359,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f234]) ).
thf(f373,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) )
!= ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f355,f352,f359]) ).
thf(f408,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(iff_proxy_clausification,[],[f335]) ).
thf(f441,plain,
( ( hoaslamnotap_gthm = $true )
| ( $false
= ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f443,plain,
( ( $false
= ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f441]) ).
thf(f445,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f443]) ).
thf(f447,plain,
( ( $false
= ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f445]) ).
thf(f449,plain,
( ( hoaslamnotap_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f447]) ).
thf(f451,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f449]) ).
thf(f453,plain,
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f451]) ).
thf(f455,plain,
( ( hoaslamnotap_gthm = $true )
| ( $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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f453]) ).
thf(f457,plain,
( ( $false
= ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f455]) ).
thf(f459,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f457]) ).
thf(f461,plain,
( ( $false
= ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f459]) ).
thf(f463,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f461]) ).
thf(f465,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f463]) ).
thf(f467,plain,
( ( hoaslamnotap_gthm = $true )
| ( $false
= ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f465]) ).
thf(f469,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f467]) ).
thf(f471,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f469]) ).
thf(f473,plain,
( ( hoaslamnotap_gthm = $true )
| ( $false
= ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f471]) ).
thf(f475,plain,
( ( ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f473]) ).
thf(f477,plain,
( ( ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f475]) ).
thf(f479,plain,
( ( hoaslamnotap_gthm = $true )
| ( $false
= ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f477]) ).
thf(f480,plain,
( ( hoaslamnotap_gthm = $true )
| ( lamnotap = $true ) ),
inference(imp_proxy_clausification,[],[f477]) ).
thf(f481,plain,
( ( hoaslamnotap_gthm = $true )
| ( $false
= ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f479]) ).
thf(f483,plain,
( ( ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f481]) ).
thf(f485,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f483]) ).
thf(f487,plain,
( ( ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f485]) ).
thf(f489,plain,
( ( ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f487]) ).
thf(f491,plain,
( ( ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) )
= $false )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f489]) ).
thf(f493,plain,
( ( $false
= ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f491]) ).
thf(f495,plain,
( ( $false
= ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f493]) ).
thf(f497,plain,
( ( hoaslamnotap_gthm = $true )
| ( ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f495]) ).
thf(f499,plain,
( ( $false
= ( hoaslaminj
=> hoaslamnotap ) )
| ( hoaslamnotap_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f497]) ).
thf(f501,plain,
( ( hoaslamnotap_gthm = $true )
| ( hoaslamnotap = $false ) ),
inference(imp_proxy_clausification,[],[f499]) ).
thf(f1024,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) ) )
= $true )
| ( lamnotap = $false ) ),
inference(iff_proxy_clausification,[],[f332]) ).
thf(f1025,plain,
! [X1: term] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) )
@ X1 )
= $true )
| ( lamnotap = $false ) ),
inference(pi_proxy_clausification,[],[f1024]) ).
thf(f1026,plain,
! [X1: term] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ X1 )
!= ( ap @ Y0 @ Y1 ) ) ) ) )
| ( lamnotap = $false ) ),
inference(beta-eta_normalization,[],[f1025]) ).
thf(f1027,plain,
! [X2: term,X1: term] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ X1 )
!= ( ap @ Y0 @ Y1 ) ) )
@ X2 )
= $true )
| ( lamnotap = $false ) ),
inference(pi_proxy_clausification,[],[f1026]) ).
thf(f1028,plain,
! [X2: term,X1: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ Y0 ) ) )
= $true )
| ( lamnotap = $false ) ),
inference(beta-eta_normalization,[],[f1027]) ).
thf(f1029,plain,
! [X2: term,X3: term,X1: term] :
( ( ( ^ [Y0: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ Y0 ) )
@ X3 )
= $true )
| ( lamnotap = $false ) ),
inference(pi_proxy_clausification,[],[f1028]) ).
thf(f1030,plain,
! [X2: term,X3: term,X1: term] :
( ( ( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
= $true )
| ( lamnotap = $false ) ),
inference(beta-eta_normalization,[],[f1029]) ).
thf(f1031,plain,
! [X2: term,X3: term,X1: term] :
( ( lamnotap = $false )
| ( ( ( lam @ X1 )
= ( ap @ X2 @ X3 ) )
= $false ) ),
inference(not_proxy_clausification,[],[f1030]) ).
thf(f1032,plain,
! [X2: term,X3: term,X1: term] :
( ( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
| ( lamnotap = $false ) ),
inference(equality_proxy_clausification,[],[f1031]) ).
thf(f1762,plain,
( ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) )
!= ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 ) ) ) ) ) ) )
| ( hoaslamnotap = $true ) ),
inference(iff_proxy_clausification,[],[f373]) ).
thf(f1778,plain,
( ( hoaslamnotap = $true )
| ( $false
= ( ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) )
!= ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 ) ) ) ) )
@ sK249 ) ) ),
inference(sigma_proxy_clausification,[],[f1762]) ).
thf(f1779,plain,
( ( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sK249 @ Y0 @ Y1 ) @ Y2 )
= ( sK249 @ ( comp @ Y0 @ Y2 ) @ ( sub @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ Y1 @ id ) @ Y0 ) ) ) ) )
= $false )
| ( hoaslamnotap = $true ) ),
inference(beta-eta_normalization,[],[f1778]) ).
thf(f1780,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ Y1 @ id ) @ Y0 ) ) ) ) )
| ( hoaslamnotap = $true ) ),
inference(imp_proxy_clausification,[],[f1779]) ).
thf(f1789,plain,
( ( hoaslamnotap = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ Y1 @ id ) @ Y0 ) ) )
@ sK250 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1780]) ).
thf(f1790,plain,
( ( hoaslamnotap = $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ Y0 @ id ) @ sK250 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1789]) ).
thf(f1791,plain,
( ( $false
= ( ^ [Y0: term] :
( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ Y0 @ id ) @ sK250 ) )
@ sK251 ) )
| ( hoaslamnotap = $true ) ),
inference(sigma_proxy_clausification,[],[f1790]) ).
thf(f1792,plain,
( ( $false
= ( ( lam @ ( sK249 @ sh @ one ) )
!= ( ap @ ( sub @ sK251 @ id ) @ sK250 ) ) )
| ( hoaslamnotap = $true ) ),
inference(beta-eta_normalization,[],[f1791]) ).
thf(f1793,plain,
( ( $true
= ( ( lam @ ( sK249 @ sh @ one ) )
= ( ap @ ( sub @ sK251 @ id ) @ sK250 ) ) )
| ( hoaslamnotap = $true ) ),
inference(not_proxy_clausification,[],[f1792]) ).
thf(f1794,plain,
( ( ( lam @ ( sK249 @ sh @ one ) )
= ( ap @ ( sub @ sK251 @ id ) @ sK250 ) )
| ( hoaslamnotap = $true ) ),
inference(equality_proxy_clausification,[],[f1793]) ).
thf(f2090,definition,
( spl283_15
<=> ( lamnotap = $false ) ),
introduced(definition,[new_symbols(definition,[spl283_15])],[avatar_definition]) ).
thf(f2092,plain,
( ( lamnotap = $false )
| ~ spl283_15 ),
inference(avatar_component_clause,[],[f2090]) ).
thf(f2098,definition,
( spl283_17
<=> ( hoaslamnotap = $true ) ),
introduced(definition,[new_symbols(definition,[spl283_17])],[avatar_definition]) ).
thf(f2100,plain,
( ( hoaslamnotap = $true )
| ~ spl283_17 ),
inference(avatar_component_clause,[],[f2098]) ).
thf(f2203,definition,
( spl283_43
<=> ( hoaslamnotap_gthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl283_43])],[avatar_definition]) ).
thf(f2290,definition,
( spl283_60
<=> ( lamnotap = $true ) ),
introduced(definition,[new_symbols(definition,[spl283_60])],[avatar_definition]) ).
thf(f2292,plain,
( ( lamnotap = $true )
| ~ spl283_60 ),
inference(avatar_component_clause,[],[f2290]) ).
thf(f2293,plain,
( spl283_60
| spl283_43 ),
inference(avatar_split_clause,[],[f480,f2203,f2290]) ).
thf(f2350,definition,
( spl283_72
<=> ( hoaslamnotap = $false ) ),
introduced(definition,[new_symbols(definition,[spl283_72])],[avatar_definition]) ).
thf(f2352,plain,
( ( hoaslamnotap = $false )
| ~ spl283_72 ),
inference(avatar_component_clause,[],[f2350]) ).
thf(f2353,plain,
( spl283_72
| spl283_43 ),
inference(avatar_split_clause,[],[f501,f2203,f2350]) ).
thf(f2744,definition,
( spl283_166
<=> ! [X2: term,X1: term,X3: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl283_166])],[avatar_definition]) ).
thf(f2745,plain,
( ! [X2: term,X3: term,X1: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
| ~ spl283_166 ),
inference(avatar_component_clause,[],[f2744]) ).
thf(f2746,plain,
( spl283_166
| spl283_15 ),
inference(avatar_split_clause,[],[f1032,f2090,f2744]) ).
thf(f3382,definition,
( spl283_320
<=> ( ( lam @ ( sK249 @ sh @ one ) )
= ( ap @ ( sub @ sK251 @ id ) @ sK250 ) ) ),
introduced(definition,[new_symbols(definition,[spl283_320])],[avatar_definition]) ).
thf(f3384,plain,
( ( ( lam @ ( sK249 @ sh @ one ) )
= ( ap @ ( sub @ sK251 @ id ) @ sK250 ) )
| ~ spl283_320 ),
inference(avatar_component_clause,[],[f3382]) ).
thf(f3385,plain,
( spl283_17
| spl283_320 ),
inference(avatar_split_clause,[],[f1794,f3382,f2098]) ).
thf(f3471,plain,
~ spl283_43,
inference(avatar_split_clause,[],[f323,f2203]) ).
thf(f3668,plain,
( ( $false = $true )
| ~ spl283_15
| ~ spl283_60 ),
inference(forward_demodulation,[],[f2292,f2092]) ).
thf(f3669,plain,
( $false
| ~ spl283_15
| ~ spl283_60 ),
inference(trivial_inequality_removal,[],[f3668]) ).
thf(f3670,plain,
( ~ spl283_15
| ~ spl283_60 ),
inference(avatar_contradiction_clause,[],[f3669]) ).
thf(f3708,plain,
( ( $false = $true )
| ~ spl283_17
| ~ spl283_72 ),
inference(superposition,[],[f2352,f2100]) ).
thf(f3712,plain,
( $false
| ~ spl283_17
| ~ spl283_72 ),
inference(trivial_inequality_removal,[],[f3708]) ).
thf(f3713,plain,
( ~ spl283_17
| ~ spl283_72 ),
inference(avatar_contradiction_clause,[],[f3712]) ).
thf(f4118,plain,
( $false
| ~ spl283_166
| ~ spl283_320 ),
inference(forward_subsumption_resolution,[],[f3384,f2745]) ).
thf(f4119,plain,
( ~ spl283_166
| ~ spl283_320 ),
inference(avatar_contradiction_clause,[],[f4118]) ).
cnf(s27,plain,
( spl283_43
| spl283_60 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s39,plain,
( spl283_43
| spl283_72 ),
inference(sat_conversion,[],[f2353]) ).
cnf(s125,plain,
( spl283_15
| spl283_166 ),
inference(sat_conversion,[],[f2746]) ).
cnf(s271,plain,
( spl283_17
| spl283_320 ),
inference(sat_conversion,[],[f3385]) ).
cnf(s293,plain,
~ spl283_43,
inference(sat_conversion,[],[f3471]) ).
cnf(s341,plain,
( ~ spl283_15
| ~ spl283_60 ),
inference(sat_conversion,[],[f3670]) ).
cnf(s352,plain,
( ~ spl283_17
| ~ spl283_72 ),
inference(sat_conversion,[],[f3713]) ).
cnf(s370,plain,
( ~ spl283_166
| ~ spl283_320 ),
inference(sat_conversion,[],[f4119]) ).
cnf(s372,plain,
spl283_72,
inference(rat,[],[s39,s293]) ).
cnf(s373,plain,
~ spl283_17,
inference(rat,[],[s352,s372]) ).
cnf(s374,plain,
spl283_320,
inference(rat,[],[s271,s373]) ).
cnf(s376,plain,
~ spl283_166,
inference(rat,[],[s370,s374]) ).
cnf(s377,plain,
spl283_15,
inference(rat,[],[s125,s376]) ).
cnf(s378,plain,
~ spl283_60,
inference(rat,[],[s341,s377]) ).
cnf(s443,plain,
$false,
inference(rat,[],[s27,s378,s293]) ).
thf(f4120,plain,
$false,
inference(avatar_sat_refutation,[],[s443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG259^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 17:34:15 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.22/0.29 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
% 0.50/0.41 % (3181881)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.41 % (3181892)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.41 % (3181892)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.41 % (3181892)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=3851164035:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.41 % (3181889)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=2286001281:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.50/0.41 % (3181890)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=134339487:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.41 % (3181888)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=393079458:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.41 % (3181887)lrs+10_16_si=on:nwc=1.5:random_seed=3482232324:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.41 % (3181891)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2566035727:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.41 % (3181886)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2035276872:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.41 % (3181888)Instruction limit reached!
% 0.50/0.41 % (3181888)------------------------------
% 0.50/0.41 % (3181888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.41 % (3181888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.41 % (3181888)CaDiCaL version: 2.1.3
% 0.50/0.41 % (3181888)Termination reason: Instruction limit
% 0.50/0.41 % (3181888)Termination phase: shuffling
% 0.50/0.41 % (3181888)Time elapsed: 0.002 s
% 0.50/0.41 % (3181888)Peak memory usage: 10 MB
% 0.50/0.41 % (3181888)Instructions burned: 3 (million)
% 0.50/0.41 % (3181887)Instruction limit reached!
% 0.50/0.41 % (3181887)------------------------------
% 0.50/0.41 % (3181887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.41 % (3181887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.41 % (3181887)CaDiCaL version: 2.1.3
% 0.50/0.41 % (3181887)Termination reason: Instruction limit
% 0.50/0.41 % (3181887)Termination phase: shuffling
% 0.50/0.41 % (3181887)Time elapsed: 0.009 s
% 0.50/0.41 % (3181887)Peak memory usage: 10 MB
% 0.50/0.41 % (3181887)Instructions burned: 21 (million)
% 0.50/0.41 % (3181890)Instruction limit reached!
% 0.50/0.41 % (3181890)------------------------------
% 0.50/0.41 % (3181890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.41 % (3181890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.41 % (3181890)CaDiCaL version: 2.1.3
% 0.50/0.41 % (3181890)Termination reason: Instruction limit
% 0.50/0.41 % (3181890)Termination phase: Naming
% 0.50/0.41 % (3181890)Time elapsed: 0.012 s
% 0.50/0.41 % (3181890)Peak memory usage: 11 MB
% 0.50/0.41 % (3181890)Instructions burned: 25 (million)
% 0.50/0.41 % (3181905)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=272072496:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.41 % (3181909)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.41 % (3181905)Instruction limit reached!
% 0.50/0.41 % (3181905)------------------------------
% 0.50/0.41 % (3181905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.41 % (3181905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.41 % (3181905)CaDiCaL version: 2.1.3
% 0.50/0.41 % (3181905)Termination reason: Instruction limit
% 0.50/0.41 % (3181905)Termination phase: shuffling
% 0.50/0.41 % (3181905)Time elapsed: 0.002 s
% 0.50/0.41 % (3181905)Peak memory usage: 10 MB
% 0.50/0.41 % (3181905)Instructions burned: 3 (million)
% 0.50/0.44 % (3181906)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2693586108:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.44 % (3181892)Instruction limit reached!
% 0.50/0.44 % (3181892)------------------------------
% 0.50/0.44 % (3181892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181892)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181892)Termination reason: Instruction limit
% 0.50/0.44 % (3181892)Termination phase: Saturation
% 0.50/0.44 % (3181892)Time elapsed: 0.037 s
% 0.50/0.44 % (3181892)Peak memory usage: 14 MB
% 0.50/0.44 % (3181892)Instructions burned: 159 (million)
% 0.50/0.44 % (3181909)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1327357360:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.44 % (3181906)Instruction limit reached!
% 0.50/0.44 % (3181906)------------------------------
% 0.50/0.44 % (3181906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181906)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181906)Termination reason: Instruction limit
% 0.50/0.44 % (3181906)Termination phase: shuffling
% 0.50/0.44 % (3181906)Time elapsed: 0.003 s
% 0.50/0.44 % (3181906)Peak memory usage: 10 MB
% 0.50/0.44 % (3181906)Instructions burned: 7 (million)
% 0.50/0.44 % (3181891)Instruction limit reached!
% 0.50/0.44 % (3181891)------------------------------
% 0.50/0.44 % (3181891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181891)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181891)Termination reason: Instruction limit
% 0.50/0.44 % (3181891)Termination phase: Property scanning
% 0.50/0.44 % (3181891)Time elapsed: 0.035 s
% 0.50/0.44 % (3181891)Peak memory usage: 12 MB
% 0.50/0.44 % (3181891)Instructions burned: 75 (million)
% 0.50/0.44 % (3181909)Instruction limit reached!
% 0.50/0.44 % (3181909)------------------------------
% 0.50/0.44 % (3181909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181909)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181909)Termination reason: Instruction limit
% 0.50/0.44 % (3181909)Termination phase: shuffling
% 0.50/0.44 % (3181909)Time elapsed: 0.004 s
% 0.50/0.44 % (3181909)Peak memory usage: 10 MB
% 0.50/0.44 % (3181909)Instructions burned: 9 (million)
% 0.50/0.44 % (3181917)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.44 % (3181917)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.44 % (3181886)Instruction limit reached!
% 0.50/0.44 % (3181886)------------------------------
% 0.50/0.44 % (3181886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181886)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181886)Termination reason: Instruction limit
% 0.50/0.44 % (3181886)Termination phase: Function definition elimination
% 0.50/0.44 % (3181886)Time elapsed: 0.039 s
% 0.50/0.44 % (3181886)Peak memory usage: 12 MB
% 0.50/0.44 % (3181886)Instructions burned: 87 (million)
% 0.50/0.44 % (3181917)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=646114510:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.50/0.44 % (3181914)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3509031732:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.44 % (3181917)Instruction limit reached!
% 0.50/0.44 % (3181917)------------------------------
% 0.50/0.44 % (3181917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3181917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3181917)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3181917)Termination reason: Instruction limit
% 1.26/0.47 % (3181917)Termination phase: Property scanning
% 1.26/0.47 % (3181917)Time elapsed: 0.007 s
% 1.26/0.47 % (3181917)Peak memory usage: 10 MB
% 1.26/0.47 % (3181917)Instructions burned: 33 (million)
% 1.26/0.47 % (3181922)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.26/0.47 % (3181919)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=733994216:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.26/0.47 % (3181914)Instruction limit reached!
% 1.26/0.47 % (3181914)------------------------------
% 1.26/0.47 % (3181914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3181914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3181914)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3181914)Termination reason: Instruction limit
% 1.26/0.47 % (3181914)Termination phase: shuffling
% 1.26/0.47 % (3181914)Time elapsed: 0.006 s
% 1.26/0.47 % (3181914)Peak memory usage: 10 MB
% 1.26/0.47 % (3181914)Instructions burned: 14 (million)
% 1.26/0.47 % (3181921)lrs+10_1_si=on:cs=on:random_seed=253394763:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.26/0.47 % (3181922)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=2879071609:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.47 % (3181922)Instruction limit reached!
% 1.26/0.47 % (3181922)------------------------------
% 1.26/0.47 % (3181922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3181922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3181922)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3181922)Termination reason: Instruction limit
% 1.26/0.47 % (3181922)Termination phase: shuffling
% 1.26/0.47 % (3181922)Time elapsed: 0.002 s
% 1.26/0.47 % (3181922)Peak memory usage: 10 MB
% 1.26/0.47 % (3181922)Instructions burned: 3 (million)
% 1.26/0.47 % (3181921)Instruction limit reached!
% 1.26/0.47 % (3181921)------------------------------
% 1.26/0.47 % (3181921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3181921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3181921)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3181921)Termination reason: Instruction limit
% 1.26/0.47 % (3181921)Termination phase: shuffling
% 1.26/0.47 % (3181921)Time elapsed: 0.004 s
% 1.26/0.47 % (3181921)Peak memory usage: 10 MB
% 1.26/0.47 % (3181921)Instructions burned: 9 (million)
% 1.26/0.47 % (3181928)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=428616781:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.26/0.47 % (3181926)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=976124781:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.26/0.47 % (3181928)Refutation not found, incomplete strategy
% 1.26/0.47 % (3181928)------------------------------
% 1.26/0.47 % (3181928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3181928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3181928)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3181928)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.47 % (3181928)Time elapsed: 0.012 s
% 1.26/0.47 % (3181928)Peak memory usage: 12 MB
% 1.26/0.47 % (3181928)Instructions burned: 52 (million)
% 1.26/0.47 % (3181932)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=251880615:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.26/0.47 % (3181928)------------------------------
% 1.26/0.47 % (3181928)------------------------------
% 1.26/0.47 % (3181926)Refutation not found, incomplete strategy
% 1.26/0.47 % (3181926)------------------------------
% 1.26/0.47 % (3181926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3181926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3181926)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3181926)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.47 % (3181926)Time elapsed: 0.016 s
% 1.26/0.47 % (3181926)Peak memory usage: 13 MB
% 1.26/0.47 % (3181926)Instructions burned: 31 (million)
% 1.26/0.47 % (3181936)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3168396829:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.26/0.50 % (3181926)------------------------------
% 1.26/0.50 % (3181926)------------------------------
% 1.26/0.50 % (3181939)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1779083464:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.26/0.50 % (3181945)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2124865388:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.50 % (3181936)Instruction limit reached!
% 1.26/0.50 % (3181936)------------------------------
% 1.26/0.50 % (3181936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (3181936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (3181936)CaDiCaL version: 2.1.3
% 1.26/0.50 % (3181936)Termination reason: Instruction limit
% 1.26/0.50 % (3181936)Termination phase: shuffling
% 1.26/0.50 % (3181936)Time elapsed: 0.007 s
% 1.26/0.50 % (3181936)Peak memory usage: 10 MB
% 1.26/0.50 % (3181936)Instructions burned: 15 (million)
% 1.26/0.50 % (3181932)Instruction limit reached!
% 1.26/0.50 % (3181932)------------------------------
% 1.26/0.50 % (3181932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (3181932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (3181932)CaDiCaL version: 2.1.3
% 1.26/0.50 % (3181932)Termination reason: Instruction limit
% 1.26/0.50 % (3181932)Termination phase: shuffling
% 1.26/0.50 % (3181932)Time elapsed: 0.012 s
% 1.26/0.50 % (3181932)Peak memory usage: 10 MB
% 1.26/0.50 % (3181932)Instructions burned: 25 (million)
% 1.26/0.50 % (3181919)Instruction limit reached!
% 1.26/0.50 % (3181919)------------------------------
% 1.26/0.50 % (3181919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (3181919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (3181919)CaDiCaL version: 2.1.3
% 1.26/0.50 % (3181919)Termination reason: Instruction limit
% 1.26/0.50 % (3181919)Termination phase: Property scanning
% 1.26/0.50 % (3181919)Time elapsed: 0.035 s
% 1.26/0.50 % (3181919)Peak memory usage: 11 MB
% 1.26/0.50 % (3181919)Instructions burned: 86 (million)
% 1.26/0.50 % (3181945)Instruction limit reached!
% 1.26/0.50 % (3181945)------------------------------
% 1.26/0.50 % (3181945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (3181945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (3181945)CaDiCaL version: 2.1.3
% 1.26/0.50 % (3181945)Termination reason: Instruction limit
% 1.26/0.50 % (3181945)Termination phase: shuffling
% 1.26/0.50 % (3181945)Time elapsed: 0.004 s
% 1.26/0.50 % (3181945)Peak memory usage: 10 MB
% 1.26/0.50 % (3181945)Instructions burned: 18 (million)
% 1.26/0.50 % (3181948)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1118221152: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)
% 1.26/0.50 % (3181959)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
% 1.26/0.50 % (3181959)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.26/0.50 % (3181959)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=642543028:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.50 % (3181948)Instruction limit reached!
% 1.26/0.50 % (3181948)------------------------------
% 1.26/0.50 % (3181948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (3181948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (3181948)CaDiCaL version: 2.1.3
% 1.26/0.50 % (3181948)Termination reason: Instruction limit
% 1.26/0.50 % (3181948)Termination phase: shuffling
% 1.26/0.50 % (3181948)Time elapsed: 0.002 s
% 1.26/0.50 % (3181948)Peak memory usage: 10 MB
% 1.26/0.50 % (3181948)Instructions burned: 5 (million)
% 1.26/0.50 % (3181954)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3828234669:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.54 % (3181959)Instruction limit reached!
% 1.26/0.54 % (3181959)------------------------------
% 1.26/0.54 % (3181959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181959)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181959)Termination reason: Instruction limit
% 1.26/0.54 % (3181959)Termination phase: shuffling
% 1.26/0.54 % (3181959)Time elapsed: 0.004 s
% 1.26/0.54 % (3181959)Peak memory usage: 10 MB
% 1.26/0.54 % (3181959)Instructions burned: 17 (million)
% 1.26/0.54 % (3181955)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3887099210:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.54 % (3181958)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2178663367:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.26/0.54 % (3181971)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=3582285880:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.26/0.54 % (3181954)Instruction limit reached!
% 1.26/0.54 % (3181954)------------------------------
% 1.26/0.54 % (3181954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181954)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181954)Termination reason: Instruction limit
% 1.26/0.54 % (3181954)Termination phase: Property scanning
% 1.26/0.54 % (3181954)Time elapsed: 0.011 s
% 1.26/0.54 % (3181954)Peak memory usage: 10 MB
% 1.26/0.54 % (3181954)Instructions burned: 27 (million)
% 1.26/0.54 % (3181955)Instruction limit reached!
% 1.26/0.54 % (3181955)------------------------------
% 1.26/0.54 % (3181955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181955)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181955)Termination reason: Instruction limit
% 1.26/0.54 % (3181955)Termination phase: Property scanning
% 1.26/0.54 % (3181955)Time elapsed: 0.011 s
% 1.26/0.54 % (3181955)Peak memory usage: 10 MB
% 1.26/0.54 % (3181955)Instructions burned: 25 (million)
% 1.26/0.54 % (3181966)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.26/0.54 % (3181966)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=415756740:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.26/0.54 % (3181971)Instruction limit reached!
% 1.26/0.54 % (3181971)------------------------------
% 1.26/0.54 % (3181971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181971)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181971)Termination reason: Instruction limit
% 1.26/0.54 % (3181971)Termination phase: Property scanning
% 1.26/0.54 % (3181971)Time elapsed: 0.008 s
% 1.26/0.54 % (3181971)Peak memory usage: 10 MB
% 1.26/0.54 % (3181971)Instructions burned: 34 (million)
% 1.26/0.54 % (3181966)Instruction limit reached!
% 1.26/0.54 % (3181966)------------------------------
% 1.26/0.54 % (3181966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181966)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181966)Termination reason: Instruction limit
% 1.26/0.54 % (3181966)Termination phase: shuffling
% 1.26/0.54 % (3181966)Time elapsed: 0.004 s
% 1.26/0.54 % (3181966)Peak memory usage: 10 MB
% 1.26/0.54 % (3181966)Instructions burned: 8 (million)
% 1.26/0.54 % (3181983)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1964023291:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.26/0.54 % (3181979)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3847147244:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.54 % (3181978)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2369397411:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.26/0.54 % (3181958)Instruction limit reached!
% 1.26/0.54 % (3181958)------------------------------
% 1.26/0.54 % (3181958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181958)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181958)Termination reason: Instruction limit
% 1.26/0.54 % (3181958)Termination phase: Property scanning
% 1.26/0.54 % (3181958)Time elapsed: 0.029 s
% 1.26/0.54 % (3181958)Peak memory usage: 12 MB
% 1.26/0.54 % (3181958)Instructions burned: 62 (million)
% 1.26/0.54 % (3181978)Instruction limit reached!
% 1.26/0.54 % (3181978)------------------------------
% 1.26/0.54 % (3181978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181978)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181978)Termination reason: Instruction limit
% 1.26/0.54 % (3181978)Termination phase: shuffling
% 1.26/0.54 % (3181978)Time elapsed: 0.003 s
% 1.26/0.54 % (3181978)Peak memory usage: 10 MB
% 1.26/0.54 % (3181978)Instructions burned: 8 (million)
% 1.26/0.54 % (3181983)Instruction limit reached!
% 1.26/0.54 % (3181983)------------------------------
% 1.26/0.54 % (3181983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181983)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181983)Termination reason: Instruction limit
% 1.26/0.54 % (3181983)Termination phase: Property scanning
% 1.26/0.54 % (3181983)Time elapsed: 0.005 s
% 1.26/0.54 % (3181983)Peak memory usage: 10 MB
% 1.26/0.54 % (3181983)Instructions burned: 22 (million)
% 1.26/0.54 % (3181985)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1929704049:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.26/0.54 % (3181979)Instruction limit reached!
% 1.26/0.54 % (3181979)------------------------------
% 1.26/0.54 % (3181979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181979)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181979)Termination reason: Instruction limit
% 1.26/0.54 % (3181979)Termination phase: Property scanning
% 1.26/0.54 % (3181979)Time elapsed: 0.010 s
% 1.26/0.54 % (3181979)Peak memory usage: 10 MB
% 1.26/0.54 % (3181979)Instructions burned: 23 (million)
% 1.26/0.54 % (3181994)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3571825422:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.26/0.54 % (3181993)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=455383032:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.26/0.54 % (3181995)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2531211369:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.26/0.54 % (3181999)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.54 % (3181999)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2184754433:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.26/0.54 % (3181994)Refutation not found, incomplete strategy
% 1.26/0.54 % (3181994)------------------------------
% 1.26/0.54 % (3181994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181994)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181994)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.54 % (3181994)Time elapsed: 0.016 s
% 1.26/0.54 % (3181994)Peak memory usage: 13 MB
% 1.26/0.54 % (3181994)Instructions burned: 66 (million)
% 1.26/0.54 % (3181994)------------------------------
% 1.26/0.54 % (3181994)------------------------------
% 1.26/0.54 % (3181999)Instruction limit reached!
% 1.26/0.54 % (3181999)------------------------------
% 1.26/0.54 % (3181999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181999)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181999)Termination reason: Instruction limit
% 1.26/0.54 % (3181999)Termination phase: shuffling
% 1.26/0.54 % (3181999)Time elapsed: 0.004 s
% 1.26/0.54 % (3181999)Peak memory usage: 10 MB
% 1.26/0.54 % (3181999)Instructions burned: 8 (million)
% 1.26/0.54 % (3181995)Instruction limit reached!
% 1.26/0.54 % (3181995)------------------------------
% 1.26/0.54 % (3181995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3181995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3181995)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3181995)Termination reason: Instruction limit
% 1.26/0.54 % (3181995)Termination phase: Property scanning
% 1.26/0.54 % (3181995)Time elapsed: 0.018 s
% 1.26/0.54 % (3181995)Peak memory usage: 10 MB
% 1.26/0.54 % (3181995)Instructions burned: 44 (million)
% 1.26/0.54 % (3182015)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3379769596:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.26/0.54 % (3182017)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=3940871687:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.26/0.54 % (3182015)Refutation not found, incomplete strategy
% 1.26/0.54 % (3182015)------------------------------
% 1.26/0.54 % (3182015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3182015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3182015)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3182015)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.54 % (3182015)Time elapsed: 0.013 s
% 1.26/0.54 % (3182015)Peak memory usage: 13 MB
% 1.26/0.54 % (3182015)Instructions burned: 53 (million)
% 1.26/0.54 % (3182015)------------------------------
% 1.26/0.54 % (3182015)------------------------------
% 1.26/0.54 % (3182020)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.26/0.54 % (3181939) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3181881-3181939"...
% 1.26/0.54 % (3182020)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2797081595:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.26/0.54 % (3182020)Instruction limit reached!
% 1.26/0.54 % (3182020)------------------------------
% 1.26/0.54 % (3182020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.54 % (3182020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.54 % (3182020)CaDiCaL version: 2.1.3
% 1.26/0.54 % (3182020)Termination reason: Instruction limit
% 1.26/0.54 % (3182020)Termination phase: shuffling
% 1.26/0.54 % (3182020)Time elapsed: 0.003 s
% 1.26/0.54 % (3182020)Peak memory usage: 10 MB
% 1.26/0.54 % (3182020)Instructions burned: 7 (million)
% 1.26/0.54 % (3181939)...printing done.
% 1.26/0.54 % (3181939)Refutation found. Thanks to Tanya!
% 1.26/0.54 % SZS status Theorem for theBenchmark
% 1.26/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.55 % (3181939)------------------------------
% 1.26/0.55 % (3181939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (3181939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (3181939)CaDiCaL version: 2.1.3
% 1.26/0.55 % (3181939)Termination reason: Refutation
% 1.26/0.55 % (3181939)Time elapsed: 0.121 s
% 1.26/0.55 % (3181939)Peak memory usage: 16 MB
% 1.26/0.55 % (3181939)Instructions burned: 266 (million)
% 1.26/0.55 % (3181881)Success in time 0.244 s
% 1.26/0.55 % Vampire exiting
%------------------------------------------------------------------------------