%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG256^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:45:13 AM UTC 2026
% Result : Theorem 1.46s 0.49s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 21
% Syntax : Number of formulae : 190 ( 44 unt; 0 typ; 14 def)
% Number of atoms : 1390 ( 317 equ; 0 cnn)
% Maximal formula atoms : 29 ( 7 avg)
% Number of connectives : 1465 ( 104 ~; 175 |; 0 &; 535 @)
% ( 14 <=>; 558 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 413 ( 409 usr; 197 con; 0-4 aty)
% ( 79 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 244 ( 9 sgn 116 !; 0 ?; 244 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
vAND: $o > $o > $o ).
thf(func_def_130,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_131,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_132,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vIFF: $o > $o > $o ).
thf(func_def_135,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_138,type,
vNOT: $o > $o ).
thf(func_def_139,type,
sK0: ( term > $o ) > term ).
thf(func_def_140,type,
sK1: ( term > $o ) > term ).
thf(func_def_141,type,
sK2: ( term > $o ) > term ).
thf(func_def_142,type,
sK3: ( term > $o ) > term ).
thf(func_def_143,type,
sK4: term > $o ).
thf(func_def_144,type,
sK5: term ).
thf(func_def_145,type,
sK6: term ).
thf(func_def_146,type,
sK7: term ).
thf(func_def_147,type,
sK8: subst ).
thf(func_def_148,type,
sK9: subst ).
thf(func_def_149,type,
sK10: subst ).
thf(func_def_150,type,
sK11: subst ).
thf(func_def_151,type,
sK12: subst ).
thf(func_def_152,type,
sK13: term ).
thf(func_def_153,type,
sK14: ( term > $o ) > term ).
thf(func_def_154,type,
sK15: ( term > $o ) > term ).
thf(func_def_155,type,
sK16: ( term > $o ) > term ).
thf(func_def_156,type,
sK17: ( term > $o ) > subst > term ).
thf(func_def_157,type,
sK18: ( term > $o ) > term ).
thf(func_def_158,type,
sK19: ( term > $o ) > subst > term ).
thf(func_def_159,type,
sK20: ( term > $o ) > subst > term ).
thf(func_def_160,type,
sK21: term > $o ).
thf(func_def_161,type,
sK22: term > term ).
thf(func_def_162,type,
sK23: subst ).
thf(func_def_163,type,
sK24: term ).
thf(func_def_164,type,
sK25: subst > ( term > $o ) > term ).
thf(func_def_165,type,
sK26: subst ).
thf(func_def_166,type,
sK27: term > $o ).
thf(func_def_167,type,
sK28: term ).
thf(func_def_168,type,
sK29: term ).
thf(func_def_169,type,
sK30: term ).
thf(func_def_170,type,
sK31: term ).
thf(func_def_171,type,
sK32: ( subst > term > subst > $o ) > subst ).
thf(func_def_172,type,
sK33: ( subst > term > subst > $o ) > subst ).
thf(func_def_173,type,
sK34: ( subst > term > subst > $o ) > term ).
thf(func_def_174,type,
sK35: ( subst > term > subst > $o ) > subst ).
thf(func_def_175,type,
sK36: ( subst > term > subst > $o ) > subst ).
thf(func_def_176,type,
sK37: ( subst > term > subst > $o ) > subst ).
thf(func_def_177,type,
sK38: ( subst > term > subst > $o ) > term ).
thf(func_def_178,type,
sK39: ( subst > term > subst > $o ) > subst ).
thf(func_def_179,type,
sK40: ( subst > term > subst > $o ) > term ).
thf(func_def_180,type,
sK41: ( subst > term > subst > $o ) > subst ).
thf(func_def_181,type,
sK42: ( subst > term > subst > $o ) > term ).
thf(func_def_182,type,
sK43: ( subst > term > subst > $o ) > subst ).
thf(func_def_183,type,
sK44: ( subst > term > subst > $o ) > term ).
thf(func_def_184,type,
sK45: subst > term > subst > $o ).
thf(func_def_185,type,
sK46: term ).
thf(func_def_186,type,
sK47: term ).
thf(func_def_187,type,
sK48: subst ).
thf(func_def_188,type,
sK49: subst ).
thf(func_def_189,type,
sK50: subst ).
thf(func_def_190,type,
sK51: term ).
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 > term ) > subst ).
thf(func_def_196,type,
sK57: ( subst > term > term ) > term ).
thf(func_def_197,type,
sK58: ( subst > term > term ) > subst ).
thf(func_def_198,type,
sK59: subst > term > term ).
thf(func_def_199,type,
sK60: term ).
thf(func_def_200,type,
sK61: term ).
thf(func_def_201,type,
sK62: subst ).
thf(func_def_202,type,
sK63: ( subst > term > term ) > subst ).
thf(func_def_203,type,
sK64: ( subst > term > term ) > subst ).
thf(func_def_204,type,
sK65: ( subst > term > term ) > subst ).
thf(func_def_205,type,
sK66: ( subst > term > term ) > term ).
thf(func_def_206,type,
sK67: ( subst > term > term ) > subst ).
thf(func_def_207,type,
sK68: ( subst > term > term ) > term ).
thf(func_def_208,type,
sK69: subst > term > term ).
thf(func_def_209,type,
sK70: subst > term > term ).
thf(func_def_210,type,
sK71: term ).
thf(func_def_211,type,
sK72: 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 ) > subst ).
thf(func_def_220,type,
sK81: ( subst > term > subst > $o ) > subst ).
thf(func_def_221,type,
sK82: ( subst > term > subst > $o ) > term ).
thf(func_def_222,type,
sK83: ( subst > term > subst > $o ) > term ).
thf(func_def_223,type,
sK84: ( subst > term > subst > $o ) > subst ).
thf(func_def_224,type,
sK85: ( subst > term > subst > $o ) > term ).
thf(func_def_225,type,
sK86: ( subst > term > subst > $o ) > subst ).
thf(func_def_226,type,
sK87: subst > term > subst > $o ).
thf(func_def_227,type,
sK88: term ).
thf(func_def_228,type,
sK89: 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 > $o ) > term ).
thf(func_def_233,type,
sK94: ( term > $o ) > term ).
thf(func_def_234,type,
sK95: ( term > $o ) > term ).
thf(func_def_235,type,
sK96: ( term > $o ) > term ).
thf(func_def_236,type,
sK97: ( term > $o ) > term ).
thf(func_def_237,type,
sK98: ( term > $o ) > term ).
thf(func_def_238,type,
sK99: term > $o ).
thf(func_def_239,type,
sK100: term > term ).
thf(func_def_240,type,
sK101: term ).
thf(func_def_241,type,
sK102: term ).
thf(func_def_242,type,
sK103: 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 > term > term ).
thf(func_def_246,type,
sK107: ( subst > term > subst > $o ) > subst ).
thf(func_def_247,type,
sK108: ( subst > term > subst > $o ) > term > 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 ) > subst ).
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 ) > subst ).
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 ) > subst ).
thf(func_def_262,type,
sK123: ( subst > term > subst > $o ) > subst ).
thf(func_def_263,type,
sK124: ( subst > term > subst > $o ) > term ).
thf(func_def_264,type,
sK125: ( subst > term > subst > $o ) > subst ).
thf(func_def_265,type,
sK126: ( subst > term > subst > $o ) > subst ).
thf(func_def_266,type,
sK127: ( subst > term > subst > $o ) > term ).
thf(func_def_267,type,
sK128: ( subst > term > subst > $o ) > subst ).
thf(func_def_268,type,
sK129: ( subst > term > subst > $o ) > subst ).
thf(func_def_269,type,
sK130: ( subst > term > subst > $o ) > subst ).
thf(func_def_270,type,
sK131: ( subst > term > subst > $o ) > subst ).
thf(func_def_271,type,
sK132: ( subst > term > subst > $o ) > term ).
thf(func_def_272,type,
sK133: subst > term > subst > $o ).
thf(func_def_273,type,
sK134: ( subst > term > term ) > term ).
thf(func_def_274,type,
sK135: ( subst > term > term ) > term ).
thf(func_def_275,type,
sK136: ( subst > term > term ) > subst ).
thf(func_def_276,type,
sK137: ( subst > term > term ) > subst ).
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: term ).
thf(func_def_280,type,
sK141: term ).
thf(func_def_281,type,
sK142: term ).
thf(func_def_282,type,
sK143: term ).
thf(func_def_283,type,
sK144: term ).
thf(func_def_284,type,
sK145: ( term > $o ) > term ).
thf(func_def_285,type,
sK146: term > $o ).
thf(func_def_286,type,
sK147: term ).
thf(func_def_287,type,
sK148: term ).
thf(func_def_288,type,
sK149: subst ).
thf(func_def_289,type,
sK150: term ).
thf(func_def_290,type,
sK151: term ).
thf(func_def_291,type,
sK152: term ).
thf(func_def_292,type,
sK153: term ).
thf(func_def_293,type,
sK154: term ).
thf(func_def_294,type,
sK155: subst ).
thf(func_def_295,type,
sK156: 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 ).
thf(func_def_299,type,
sK160: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_300,type,
sK161: ( subst > term > subst > $o ) > term ).
thf(func_def_301,type,
sK162: ( subst > term > subst > $o ) > term ).
thf(func_def_302,type,
sK163: ( subst > term > subst > $o ) > term ).
thf(func_def_303,type,
sK164: ( subst > term > subst > $o ) > 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 ) > subst ).
thf(func_def_308,type,
sK169: ( subst > term > subst > $o ) > term ).
thf(func_def_309,type,
sK170: ( subst > term > subst > $o ) > subst ).
thf(func_def_310,type,
sK171: ( subst > term > subst > $o ) > subst ).
thf(func_def_311,type,
sK172: ( subst > term > subst > $o ) > subst ).
thf(func_def_312,type,
sK173: ( subst > term > subst > $o ) > subst ).
thf(func_def_313,type,
sK174: ( subst > term > subst > $o ) > term ).
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 ) > subst ).
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 ) > subst ).
thf(func_def_320,type,
sK181: ( subst > term > subst > $o ) > subst ).
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 ) > 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 ) > subst ).
thf(func_def_330,type,
sK191: ( subst > term > subst > $o ) > subst ).
thf(func_def_331,type,
sK192: ( subst > term > subst > $o ) > term ).
thf(func_def_332,type,
sK193: ( subst > term > subst > $o ) > subst ).
thf(func_def_333,type,
sK194: ( subst > term > subst > $o ) > subst ).
thf(func_def_334,type,
sK195: ( subst > term > subst > $o ) > subst ).
thf(func_def_335,type,
sK196: ( subst > term > subst > $o ) > 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 ) > term ).
thf(func_def_341,type,
sK202: ( subst > term > subst > $o ) > subst ).
thf(func_def_342,type,
sK203: ( subst > term > subst > $o ) > subst ).
thf(func_def_343,type,
sK204: ( subst > term > subst > $o ) > subst ).
thf(func_def_344,type,
sK205: ( subst > term > subst > $o ) > term ).
thf(func_def_345,type,
sK206: ( subst > term > subst > $o ) > subst ).
thf(func_def_346,type,
sK207: ( subst > term > subst > $o ) > subst ).
thf(func_def_347,type,
sK208: ( subst > term > subst > $o ) > subst ).
thf(func_def_348,type,
sK209: ( subst > term > subst > $o ) > subst ).
thf(func_def_349,type,
sK210: ( subst > term > subst > $o ) > term ).
thf(func_def_350,type,
sK211: ( subst > term > subst > $o ) > subst ).
thf(func_def_351,type,
sK212: ( subst > term > subst > $o ) > subst ).
thf(func_def_352,type,
sK213: ( subst > term > subst > $o ) > subst ).
thf(func_def_353,type,
sK214: ( subst > term > subst > $o ) > subst ).
thf(func_def_354,type,
sK215: ( subst > term > subst > $o ) > subst ).
thf(func_def_355,type,
sK216: ( subst > term > subst > $o ) > term ).
thf(func_def_356,type,
sK217: ( subst > term > subst > $o ) > subst ).
thf(func_def_357,type,
sK218: ( subst > term > subst > $o ) > subst ).
thf(func_def_358,type,
sK219: ( subst > term > subst > $o ) > subst ).
thf(func_def_359,type,
sK220: ( subst > term > subst > $o ) > subst ).
thf(func_def_360,type,
sK221: ( subst > term > subst > $o ) > 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 ) > subst ).
thf(func_def_365,type,
sK226: subst > term > subst > $o ).
thf(func_def_366,type,
sK227: ( subst > term > term ) > subst ).
thf(func_def_367,type,
sK228: ( subst > term > term ) > term ).
thf(func_def_368,type,
sK229: ( subst > term > term ) > term ).
thf(func_def_369,type,
sK230: ( subst > term > term ) > subst ).
thf(func_def_370,type,
sK231: ( subst > term > term ) > subst ).
thf(func_def_371,type,
sK232: term ).
thf(func_def_372,type,
sK233: term ).
thf(func_def_373,type,
sK234: term ).
thf(func_def_374,type,
sK235: term ).
thf(func_def_375,type,
sK236: term ).
thf(func_def_376,type,
sK237: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_377,type,
sK238: ( subst > term > subst > $o ) > term > term ).
thf(func_def_378,type,
sK239: ( subst > term > subst > $o ) > term > term ).
thf(func_def_379,type,
sK240: ( subst > term > subst > $o ) > term > term ).
thf(func_def_380,type,
sK241: subst > term > subst > $o ).
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 ) > term ).
thf(func_def_384,type,
sK245: ( subst > term > term ) > subst ).
thf(func_def_385,type,
sK246: ( subst > term > term ) > term ).
thf(func_def_386,type,
sK247: ( subst > term > term ) > subst ).
thf(func_def_387,type,
sK248: term ).
thf(func_def_388,type,
sK249: subst ).
thf(func_def_389,type,
sK250: term ).
thf(func_def_390,type,
sK251: term ).
thf(func_def_391,type,
sK252: term ).
thf(func_def_392,type,
sK253: term ).
thf(func_def_393,type,
sK254: term ).
thf(func_def_394,type,
sK255: term ).
thf(func_def_395,type,
sK256: term ).
thf(func_def_396,type,
sK257: subst ).
thf(f3,axiom,
! [X0: term] :
( ( ( sub @ X0 @ id )
= X0 )
= axvarid ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f16,axiom,
( apinj1
= ( ! [X1: term,X2: term,X3: term,X0: term] :
( ( ( ap @ X0 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apinj1) ).
thf(f17,axiom,
! [X3: term,X1: term,X2: term,X0: term] :
( ( ( ( ap @ X0 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( X2 = X3 ) )
= apinj2 ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apinj2) ).
thf(f55,axiom,
( ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) )
= hoasap ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f58,axiom,
( hoasapinj1
= ( ! [X0: term,X1: term,X3: term,X2: term] :
( ( ( hoasap @ id @ X0 @ id @ X2 )
= ( hoasap @ id @ X1 @ id @ X3 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj1) ).
thf(f59,axiom,
( ( hoasapinj1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj1_gthm) ).
thf(f114,conjecture,
hoasapinj1_gthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasapinj1_gthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f161,plain,
! [X0: term,X1: term,X2: term,X3: term] :
( ( ( ( ap @ X3 @ X2 )
= ( ap @ X1 @ X0 ) )
=> ( X0 = X2 ) )
= apinj2 ),
inference(rectify,[],[f17]) ).
thf(f162,plain,
( apinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y1 )
= ( ap @ Y2 @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f161]) ).
thf(f163,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f164,plain,
~ hoasapinj1_gthm,
inference(rectify,[],[f115]) ).
thf(f165,plain,
hoasapinj1_gthm != $true,
inference(fool_elimination,[],[f164]) ).
thf(f182,plain,
( apinj1
= ( ! [X0: term,X1: term,X2: term,X3: term] :
( ( ( ap @ X0 @ X2 )
= ( ap @ X3 @ X1 ) )
=> ( X0 = X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f183,plain,
( apinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y3 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f182]) ).
thf(f194,plain,
( ( hoasapinj1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f59]) ).
thf(f195,plain,
( hoasapinj1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f194]) ).
thf(f251,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f262,plain,
( hoasapinj1
= ( ! [X0: term,X1: term,X2: term,X3: term] :
( ( ( hoasap @ id @ X1 @ id @ X2 )
= ( hoasap @ id @ X0 @ id @ X3 ) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f58]) ).
thf(f263,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y2 @ id @ Y1 )
= ( hoasap @ id @ Y3 @ id @ Y0 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f262]) ).
thf(f320,plain,
hoasapinj1_gthm != $true,
inference(flattening,[],[f165]) ).
thf(f323,plain,
( apinj2
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y1 )
= ( ap @ Y2 @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f162]) ).
thf(f324,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y2 @ id @ Y1 )
= ( hoasap @ id @ Y3 @ id @ Y0 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f263]) ).
thf(f326,plain,
( hoasapinj1_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f195]) ).
thf(f343,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f163]) ).
thf(f344,plain,
( apinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y3 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f183]) ).
thf(f347,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f251]) ).
thf(f357,plain,
hoasapinj1_gthm != $true,
inference(cnf_transformation,[],[f320]) ).
thf(f364,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y3
@ id
@ Y0 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f324,f343,f343]) ).
thf(f482,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(iff_proxy_clausification,[],[f326]) ).
thf(f512,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f482]) ).
thf(f514,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f512]) ).
thf(f516,plain,
( ( hoasapinj1_gthm = $true )
| ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f514]) ).
thf(f517,plain,
( ( axvarid = $true )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f514]) ).
thf(f518,plain,
( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f516]) ).
thf(f520,plain,
( ( $false
= ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f518]) ).
thf(f522,plain,
( ( ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f520]) ).
thf(f524,plain,
( ( ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f522]) ).
thf(f526,plain,
( ( hoasapinj1_gthm = $true )
| ( ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f524]) ).
thf(f528,plain,
( ( ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f526]) ).
thf(f530,plain,
( ( ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f528]) ).
thf(f532,plain,
( ( hoasapinj1_gthm = $true )
| ( ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f530]) ).
thf(f534,plain,
( ( ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f532]) ).
thf(f536,plain,
( ( ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f534]) ).
thf(f538,plain,
( ( hoasapinj1_gthm = $true )
| ( $false
= ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f536]) ).
thf(f540,plain,
( ( hoasapinj1_gthm = $true )
| ( ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f538]) ).
thf(f542,plain,
( ( hoasapinj1_gthm = $true )
| ( ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f540]) ).
thf(f543,plain,
( ( apinj1 = $true )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f540]) ).
thf(f544,plain,
( ( ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f542]) ).
thf(f545,plain,
( ( hoasapinj1_gthm = $true )
| ( apinj2 = $true ) ),
inference(imp_proxy_clausification,[],[f542]) ).
thf(f546,plain,
( ( ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f544]) ).
thf(f548,plain,
( ( hoasapinj1_gthm = $true )
| ( ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f546]) ).
thf(f550,plain,
( ( ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f548]) ).
thf(f552,plain,
( ( hoasapinj1_gthm = $true )
| ( ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f550]) ).
thf(f554,plain,
( ( $false
= ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f552]) ).
thf(f556,plain,
( ( hoasapinj1_gthm = $true )
| ( ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f554]) ).
thf(f558,plain,
( ( hoasapinj1_gthm = $true )
| ( ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f556]) ).
thf(f560,plain,
( ( hoasapinj1_gthm = $true )
| ( ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f558]) ).
thf(f562,plain,
( ( ( substmonoid
=> ( termmset
=> hoasapinj1 ) )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f560]) ).
thf(f564,plain,
( ( ( termmset
=> hoasapinj1 )
= $false )
| ( hoasapinj1_gthm = $true ) ),
inference(imp_proxy_clausification,[],[f562]) ).
thf(f566,plain,
( ( hoasapinj1_gthm = $true )
| ( hoasapinj1 = $false ) ),
inference(imp_proxy_clausification,[],[f564]) ).
thf(f569,plain,
( ( axvarid = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f347]) ).
thf(f570,plain,
! [X1: term] :
( ( axvarid = $false )
| ( ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f569]) ).
thf(f571,plain,
! [X1: term] :
( ( ( ( sub @ X1 @ id )
= X1 )
= $true )
| ( axvarid = $false ) ),
inference(beta-eta_normalization,[],[f570]) ).
thf(f572,plain,
! [X1: term] :
( ( ( sub @ X1 @ id )
= X1 )
| ( axvarid = $false ) ),
inference(equality_proxy_clausification,[],[f571]) ).
thf(f1302,plain,
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y1 )
= ( ap @ Y2 @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f323]) ).
thf(f1303,plain,
! [X1: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y1 )
= ( ap @ Y2 @ Y3 ) )
=> ( Y3 = Y1 ) ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1302]) ).
thf(f1304,plain,
! [X1: term] :
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ X1 @ Y0 )
= ( ap @ Y1 @ Y2 ) )
=> ( Y2 = Y0 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1303]) ).
thf(f1305,plain,
! [X2: term,X1: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ X1 @ Y0 )
= ( ap @ Y1 @ Y2 ) )
=> ( Y2 = Y0 ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1304]) ).
thf(f1306,plain,
! [X2: term,X1: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ X1 @ X2 )
= ( ap @ Y0 @ Y1 ) )
=> ( Y1 = X2 ) ) ) )
= $true )
| ( apinj2 = $false ) ),
inference(beta-eta_normalization,[],[f1305]) ).
thf(f1307,plain,
! [X2: term,X3: term,X1: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ X1 @ X2 )
= ( ap @ Y0 @ Y1 ) )
=> ( Y1 = X2 ) ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1306]) ).
thf(f1308,plain,
! [X2: term,X3: term,X1: term] :
( ( apinj2 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ X1 @ X2 )
= ( ap @ X3 @ Y0 ) )
=> ( Y0 = X2 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1307]) ).
thf(f1309,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj2 = $false )
| ( ( ^ [Y0: term] :
( ( ( ap @ X1 @ X2 )
= ( ap @ X3 @ Y0 ) )
=> ( Y0 = X2 ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1308]) ).
thf(f1310,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ( ( ap @ X1 @ X2 )
= ( ap @ X3 @ X4 ) )
=> ( X4 = X2 ) )
= $true )
| ( apinj2 = $false ) ),
inference(beta-eta_normalization,[],[f1309]) ).
thf(f1311,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( X4 = X2 )
= $true )
| ( apinj2 = $false )
| ( $false
= ( ( ap @ X1 @ X2 )
= ( ap @ X3 @ X4 ) ) ) ),
inference(imp_proxy_clausification,[],[f1310]) ).
thf(f1312,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( $false
= ( ( ap @ X1 @ X2 )
= ( ap @ X3 @ X4 ) ) )
| ( apinj2 = $false )
| ( X2 = X4 ) ),
inference(equality_proxy_clausification,[],[f1311]) ).
thf(f1313,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X1 @ X2 )
!= ( ap @ X3 @ X4 ) )
| ( X2 = X4 )
| ( apinj2 = $false ) ),
inference(equality_proxy_clausification,[],[f1312]) ).
thf(f1367,plain,
( ( apinj1 = $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y3 = Y0 ) ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f344]) ).
thf(f1368,plain,
! [X1: term] :
( ( apinj1 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y3 = Y0 ) ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1367]) ).
thf(f1369,plain,
! [X1: term] :
( ( apinj1 = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ X1 @ Y1 ) )
=> ( Y2 = X1 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1368]) ).
thf(f1370,plain,
! [X2: term,X1: term] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y2 @ Y0 )
= ( ap @ X1 @ Y1 ) )
=> ( Y2 = X1 ) ) ) )
@ X2 )
= $true )
| ( apinj1 = $false ) ),
inference(pi_proxy_clausification,[],[f1369]) ).
thf(f1371,plain,
! [X2: term,X1: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y1 @ X2 )
= ( ap @ X1 @ Y0 ) )
=> ( Y1 = X1 ) ) ) )
= $true )
| ( apinj1 = $false ) ),
inference(beta-eta_normalization,[],[f1370]) ).
thf(f1372,plain,
! [X2: term,X3: term,X1: term] :
( ( apinj1 = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y1 @ X2 )
= ( ap @ X1 @ Y0 ) )
=> ( Y1 = X1 ) ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1371]) ).
thf(f1373,plain,
! [X2: term,X3: term,X1: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ Y0 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( Y0 = X1 ) ) )
= $true )
| ( apinj1 = $false ) ),
inference(beta-eta_normalization,[],[f1372]) ).
thf(f1374,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj1 = $false )
| ( ( ^ [Y0: term] :
( ( ( ap @ Y0 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( Y0 = X1 ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f1373]) ).
thf(f1375,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj1 = $false )
| ( ( ( ( ap @ X4 @ X2 )
= ( ap @ X1 @ X3 ) )
=> ( X4 = X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1374]) ).
thf(f1376,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ( ap @ X4 @ X2 )
= ( ap @ X1 @ X3 ) )
= $false )
| ( ( X4 = X1 )
= $true )
| ( apinj1 = $false ) ),
inference(imp_proxy_clausification,[],[f1375]) ).
thf(f1377,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( apinj1 = $false )
| ( ( X4 = X1 )
= $true )
| ( ( ap @ X1 @ X3 )
!= ( ap @ X4 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f1376]) ).
thf(f1378,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X1 @ X3 )
!= ( ap @ X4 @ X2 ) )
| ( apinj1 = $false )
| ( X1 = X4 ) ),
inference(equality_proxy_clausification,[],[f1377]) ).
thf(f1755,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y3
@ id
@ Y0 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
= $false )
| ( hoasapinj1 = $true ) ),
inference(iff_proxy_clausification,[],[f364]) ).
thf(f1768,plain,
( ( hoasapinj1 = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y2
@ id
@ Y1 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y3
@ id
@ Y0 ) )
=> ( Y3 = Y2 ) ) ) ) )
@ sK233 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1755]) ).
thf(f1769,plain,
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
= ( ap @ ( sub @ Y2 @ id ) @ sK233 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
| ( hoasapinj1 = $true ) ),
inference(beta-eta_normalization,[],[f1768]) ).
thf(f1770,plain,
( ( hoasapinj1 = $true )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
= ( ap @ ( sub @ Y2 @ id ) @ sK233 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK234 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f1769]) ).
thf(f1771,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ sK234 )
= ( ap @ ( sub @ Y1 @ id ) @ sK233 ) )
=> ( Y1 = Y0 ) ) ) )
= $false )
| ( hoasapinj1 = $true ) ),
inference(beta-eta_normalization,[],[f1770]) ).
thf(f1772,plain,
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ sK234 )
= ( ap @ ( sub @ Y1 @ id ) @ sK233 ) )
=> ( Y1 = Y0 ) ) )
@ sK235 )
= $false )
| ( hoasapinj1 = $true ) ),
inference(sigma_proxy_clausification,[],[f1771]) ).
thf(f1773,plain,
( ( hoasapinj1 = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ Y0 @ id ) @ sK233 ) )
=> ( Y0 = sK235 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f1772]) ).
thf(f1774,plain,
( ( $false
= ( ^ [Y0: term] :
( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ Y0 @ id ) @ sK233 ) )
=> ( Y0 = sK235 ) )
@ sK236 ) )
| ( hoasapinj1 = $true ) ),
inference(sigma_proxy_clausification,[],[f1773]) ).
thf(f1775,plain,
( ( hoasapinj1 = $true )
| ( ( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ sK236 @ id ) @ sK233 ) )
=> ( sK236 = sK235 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f1774]) ).
thf(f1776,plain,
( ( hoasapinj1 = $true )
| ( ( sK236 = sK235 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1775]) ).
thf(f1777,plain,
( ( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ sK236 @ id ) @ sK233 ) )
= $true )
| ( hoasapinj1 = $true ) ),
inference(imp_proxy_clausification,[],[f1775]) ).
thf(f1778,plain,
( ( hoasapinj1 = $true )
| ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ sK236 @ id ) @ sK233 ) ) ),
inference(equality_proxy_clausification,[],[f1777]) ).
thf(f1779,plain,
( ( hoasapinj1 = $true )
| ( sK236 != sK235 ) ),
inference(equality_proxy_clausification,[],[f1776]) ).
thf(f2086,definition,
( spl258_45
<=> ( hoasapinj1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl258_45])],[avatar_definition]) ).
thf(f2088,plain,
( ( hoasapinj1 = $true )
| ~ spl258_45 ),
inference(avatar_component_clause,[],[f2086]) ).
thf(f2126,definition,
( spl258_55
<=> ( apinj1 = $false ) ),
introduced(definition,[new_symbols(definition,[spl258_55])],[avatar_definition]) ).
thf(f2128,plain,
( ( apinj1 = $false )
| ~ spl258_55 ),
inference(avatar_component_clause,[],[f2126]) ).
thf(f2134,definition,
( spl258_57
<=> ( apinj2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl258_57])],[avatar_definition]) ).
thf(f2136,plain,
( ( apinj2 = $false )
| ~ spl258_57 ),
inference(avatar_component_clause,[],[f2134]) ).
thf(f2138,definition,
( spl258_58
<=> ( axvarid = $false ) ),
introduced(definition,[new_symbols(definition,[spl258_58])],[avatar_definition]) ).
thf(f2140,plain,
( ( axvarid = $false )
| ~ spl258_58 ),
inference(avatar_component_clause,[],[f2138]) ).
thf(f2159,definition,
( spl258_63
<=> ( hoasapinj1_gthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl258_63])],[avatar_definition]) ).
thf(f2169,definition,
( spl258_65
<=> ( axvarid = $true ) ),
introduced(definition,[new_symbols(definition,[spl258_65])],[avatar_definition]) ).
thf(f2171,plain,
( ( axvarid = $true )
| ~ spl258_65 ),
inference(avatar_component_clause,[],[f2169]) ).
thf(f2172,plain,
( spl258_65
| spl258_63 ),
inference(avatar_split_clause,[],[f517,f2159,f2169]) ).
thf(f2218,definition,
( spl258_74
<=> ( apinj1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl258_74])],[avatar_definition]) ).
thf(f2220,plain,
( ( apinj1 = $true )
| ~ spl258_74 ),
inference(avatar_component_clause,[],[f2218]) ).
thf(f2221,plain,
( spl258_63
| spl258_74 ),
inference(avatar_split_clause,[],[f543,f2218,f2159]) ).
thf(f2223,definition,
( spl258_75
<=> ( apinj2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl258_75])],[avatar_definition]) ).
thf(f2225,plain,
( ( apinj2 = $true )
| ~ spl258_75 ),
inference(avatar_component_clause,[],[f2223]) ).
thf(f2226,plain,
( spl258_63
| spl258_75 ),
inference(avatar_split_clause,[],[f545,f2223,f2159]) ).
thf(f2275,definition,
( spl258_85
<=> ( hoasapinj1 = $false ) ),
introduced(definition,[new_symbols(definition,[spl258_85])],[avatar_definition]) ).
thf(f2277,plain,
( ( hoasapinj1 = $false )
| ~ spl258_85 ),
inference(avatar_component_clause,[],[f2275]) ).
thf(f2278,plain,
( spl258_63
| spl258_85 ),
inference(avatar_split_clause,[],[f566,f2275,f2159]) ).
thf(f2280,definition,
( spl258_86
<=> ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl258_86])],[avatar_definition]) ).
thf(f2281,plain,
( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
| ~ spl258_86 ),
inference(avatar_component_clause,[],[f2280]) ).
thf(f2282,plain,
( spl258_58
| spl258_86 ),
inference(avatar_split_clause,[],[f572,f2280,f2138]) ).
thf(f2532,plain,
~ spl258_63,
inference(avatar_split_clause,[],[f357,f2159]) ).
thf(f2894,definition,
( spl258_232
<=> ! [X4: term,X3: term,X2: term,X1: term] :
( ( ( ap @ X1 @ X2 )
!= ( ap @ X3 @ X4 ) )
| ( X2 = X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl258_232])],[avatar_definition]) ).
thf(f2895,plain,
( ! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X1 @ X2 )
!= ( ap @ X3 @ X4 ) )
| ( X2 = X4 ) )
| ~ spl258_232 ),
inference(avatar_component_clause,[],[f2894]) ).
thf(f2896,plain,
( spl258_232
| spl258_57 ),
inference(avatar_split_clause,[],[f1313,f2134,f2894]) ).
thf(f2948,definition,
( spl258_244
<=> ! [X4: term,X3: term,X2: term,X1: term] :
( ( ( ap @ X1 @ X3 )
!= ( ap @ X4 @ X2 ) )
| ( X1 = X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl258_244])],[avatar_definition]) ).
thf(f2949,plain,
( ! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X1 @ X3 )
!= ( ap @ X4 @ X2 ) )
| ( X1 = X4 ) )
| ~ spl258_244 ),
inference(avatar_component_clause,[],[f2948]) ).
thf(f2950,plain,
( spl258_55
| spl258_244 ),
inference(avatar_split_clause,[],[f1378,f2948,f2126]) ).
thf(f3300,definition,
( spl258_331
<=> ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ sK236 @ id ) @ sK233 ) ) ),
introduced(definition,[new_symbols(definition,[spl258_331])],[avatar_definition]) ).
thf(f3302,plain,
( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ ( sub @ sK236 @ id ) @ sK233 ) )
| ~ spl258_331 ),
inference(avatar_component_clause,[],[f3300]) ).
thf(f3303,plain,
( spl258_331
| spl258_45 ),
inference(avatar_split_clause,[],[f1778,f2086,f3300]) ).
thf(f3305,definition,
( spl258_332
<=> ( sK236 = sK235 ) ),
introduced(definition,[new_symbols(definition,[spl258_332])],[avatar_definition]) ).
thf(f3307,plain,
( ( sK236 != sK235 )
| spl258_332 ),
inference(avatar_component_clause,[],[f3305]) ).
thf(f3308,plain,
( spl258_45
| ~ spl258_332 ),
inference(avatar_split_clause,[],[f1779,f3305,f2086]) ).
thf(f3406,plain,
( ( $false = $true )
| ~ spl258_58
| ~ spl258_65 ),
inference(forward_demodulation,[],[f2171,f2140]) ).
thf(f3407,plain,
( $false
| ~ spl258_58
| ~ spl258_65 ),
inference(trivial_inequality_removal,[],[f3406]) ).
thf(f3408,plain,
( ~ spl258_58
| ~ spl258_65 ),
inference(avatar_contradiction_clause,[],[f3407]) ).
thf(f3442,plain,
( ( $false = $true )
| ~ spl258_55
| ~ spl258_74 ),
inference(forward_demodulation,[],[f2220,f2128]) ).
thf(f3443,plain,
( $false
| ~ spl258_55
| ~ spl258_74 ),
inference(trivial_inequality_removal,[],[f3442]) ).
thf(f3444,plain,
( ~ spl258_55
| ~ spl258_74 ),
inference(avatar_contradiction_clause,[],[f3443]) ).
thf(f3446,plain,
( ( $false = $true )
| ~ spl258_57
| ~ spl258_75 ),
inference(forward_demodulation,[],[f2225,f2136]) ).
thf(f3447,plain,
( $false
| ~ spl258_57
| ~ spl258_75 ),
inference(trivial_inequality_removal,[],[f3446]) ).
thf(f3448,plain,
( ~ spl258_57
| ~ spl258_75 ),
inference(avatar_contradiction_clause,[],[f3447]) ).
thf(f3479,plain,
( ( $false = $true )
| ~ spl258_45
| ~ spl258_85 ),
inference(superposition,[],[f2088,f2277]) ).
thf(f3482,plain,
( $false
| ~ spl258_45
| ~ spl258_85 ),
inference(trivial_inequality_removal,[],[f3479]) ).
thf(f3483,plain,
( ~ spl258_45
| ~ spl258_85 ),
inference(avatar_contradiction_clause,[],[f3482]) ).
thf(f3832,plain,
( ( ( ap @ ( sub @ sK235 @ id ) @ sK234 )
= ( ap @ sK236 @ sK233 ) )
| ~ spl258_86
| ~ spl258_331 ),
inference(forward_demodulation,[],[f3302,f2281]) ).
thf(f3833,plain,
( ( ( ap @ sK235 @ sK234 )
= ( ap @ sK236 @ sK233 ) )
| ~ spl258_86
| ~ spl258_331 ),
inference(forward_demodulation,[],[f3832,f2281]) ).
thf(f3836,plain,
( ! [X0: term,X1: term] :
( ( ( ap @ X0 @ X1 )
!= ( ap @ sK235 @ sK234 ) )
| ( sK233 = X1 ) )
| ~ spl258_86
| ~ spl258_232
| ~ spl258_331 ),
inference(superposition,[],[f2895,f3833]) ).
thf(f3838,plain,
( ! [X0: term,X1: term] :
( ( ( ap @ X0 @ X1 )
!= ( ap @ sK235 @ sK234 ) )
| ( sK236 = X0 ) )
| ~ spl258_86
| ~ spl258_244
| ~ spl258_331 ),
inference(superposition,[],[f2949,f3833]) ).
thf(f3855,plain,
( ( sK234 = sK233 )
| ~ spl258_86
| ~ spl258_232
| ~ spl258_331 ),
inference(equality_resolution,[],[f3836]) ).
thf(f3895,plain,
( ! [X0: term,X1: term] :
( ( ( ap @ X0 @ X1 )
!= ( ap @ sK235 @ sK233 ) )
| ( sK236 = X0 ) )
| ~ spl258_86
| ~ spl258_232
| ~ spl258_244
| ~ spl258_331 ),
inference(forward_demodulation,[],[f3838,f3855]) ).
thf(f3916,plain,
( ( sK236 = sK235 )
| ~ spl258_86
| ~ spl258_232
| ~ spl258_244
| ~ spl258_331 ),
inference(equality_resolution,[],[f3895]) ).
thf(f3917,plain,
( $false
| ~ spl258_86
| ~ spl258_232
| ~ spl258_244
| ~ spl258_331
| spl258_332 ),
inference(forward_subsumption_resolution,[],[f3916,f3307]) ).
thf(f3918,plain,
( ~ spl258_86
| ~ spl258_232
| ~ spl258_244
| ~ spl258_331
| spl258_332 ),
inference(avatar_contradiction_clause,[],[f3917]) ).
cnf(s30,plain,
( spl258_63
| spl258_65 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s43,plain,
( spl258_63
| spl258_74 ),
inference(sat_conversion,[],[f2221]) ).
cnf(s44,plain,
( spl258_63
| spl258_75 ),
inference(sat_conversion,[],[f2226]) ).
cnf(s56,plain,
( spl258_63
| spl258_85 ),
inference(sat_conversion,[],[f2278]) ).
cnf(s57,plain,
( spl258_58
| spl258_86 ),
inference(sat_conversion,[],[f2282]) ).
cnf(s112,plain,
~ spl258_63,
inference(sat_conversion,[],[f2532]) ).
cnf(s192,plain,
( spl258_57
| spl258_232 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s204,plain,
( spl258_55
| spl258_244 ),
inference(sat_conversion,[],[f2950]) ).
cnf(s289,plain,
( spl258_45
| spl258_331 ),
inference(sat_conversion,[],[f3303]) ).
cnf(s290,plain,
( spl258_45
| ~ spl258_332 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s310,plain,
( ~ spl258_58
| ~ spl258_65 ),
inference(sat_conversion,[],[f3408]) ).
cnf(s319,plain,
( ~ spl258_55
| ~ spl258_74 ),
inference(sat_conversion,[],[f3444]) ).
cnf(s320,plain,
( ~ spl258_57
| ~ spl258_75 ),
inference(sat_conversion,[],[f3448]) ).
cnf(s329,plain,
( ~ spl258_45
| ~ spl258_85 ),
inference(sat_conversion,[],[f3483]) ).
cnf(s349,plain,
( ~ spl258_86
| ~ spl258_232
| ~ spl258_244
| ~ spl258_331
| spl258_332 ),
inference(sat_conversion,[],[f3918]) ).
cnf(s351,plain,
spl258_85,
inference(rat,[],[s56,s112]) ).
cnf(s352,plain,
~ spl258_45,
inference(rat,[],[s329,s351]) ).
cnf(s353,plain,
~ spl258_332,
inference(rat,[],[s290,s352]) ).
cnf(s354,plain,
spl258_331,
inference(rat,[],[s289,s352]) ).
cnf(s404,plain,
spl258_75,
inference(rat,[],[s44,s112]) ).
cnf(s405,plain,
~ spl258_57,
inference(rat,[],[s320,s404]) ).
cnf(s406,plain,
spl258_232,
inference(rat,[],[s192,s405]) ).
cnf(s407,plain,
spl258_74,
inference(rat,[],[s43,s112]) ).
cnf(s408,plain,
~ spl258_55,
inference(rat,[],[s319,s407]) ).
cnf(s409,plain,
spl258_244,
inference(rat,[],[s204,s408]) ).
cnf(s410,plain,
~ spl258_86,
inference(rat,[],[s349,s353,s354,s406,s409]) ).
cnf(s411,plain,
spl258_58,
inference(rat,[],[s57,s410]) ).
cnf(s412,plain,
~ spl258_65,
inference(rat,[],[s310,s411]) ).
cnf(s446,plain,
$false,
inference(rat,[],[s30,s412,s112]) ).
thf(f3919,plain,
$false,
inference(avatar_sat_refutation,[],[s446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG256^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:36:19 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % (3856900)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (3856919)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (3856919)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
% 0.21/0.36 % (3856919)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=3929149204:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (3856915)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1565260630:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (3856917)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1852913928:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (3856914)lrs+10_16_si=on:nwc=1.5:random_seed=4071377662:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (3856918)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2925604371:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (3856913)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3841917787:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (3856916)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=1535414865: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)
% 0.21/0.36 % (3856915)Instruction limit reached!
% 0.21/0.36 % (3856915)------------------------------
% 0.21/0.36 % (3856915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3856915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3856915)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3856915)Termination reason: Instruction limit
% 0.21/0.36 % (3856915)Termination phase: shuffling
% 0.21/0.36 % (3856915)Time elapsed: 0.002 s
% 0.21/0.36 % (3856915)Peak memory usage: 10 MB
% 0.21/0.36 % (3856915)Instructions burned: 3 (million)
% 0.21/0.36 % (3856914)Instruction limit reached!
% 0.21/0.36 % (3856914)------------------------------
% 0.21/0.36 % (3856914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3856914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3856914)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3856914)Termination reason: Instruction limit
% 0.21/0.36 % (3856914)Termination phase: shuffling
% 0.21/0.36 % (3856914)Time elapsed: 0.009 s
% 0.21/0.36 % (3856914)Peak memory usage: 10 MB
% 0.21/0.36 % (3856914)Instructions burned: 18 (million)
% 0.21/0.36 % (3856917)Instruction limit reached!
% 0.21/0.36 % (3856917)------------------------------
% 0.21/0.36 % (3856917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3856917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3856917)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3856917)Termination reason: Instruction limit
% 0.21/0.36 % (3856917)Termination phase: Naming
% 0.21/0.36 % (3856917)Time elapsed: 0.012 s
% 0.21/0.36 % (3856917)Peak memory usage: 11 MB
% 0.21/0.36 % (3856917)Instructions burned: 25 (million)
% 0.21/0.36 % (3856929)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3143861683:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (3856929)Instruction limit reached!
% 0.21/0.36 % (3856929)------------------------------
% 0.21/0.36 % (3856929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3856929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3856929)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3856929)Termination reason: Instruction limit
% 0.21/0.36 % (3856929)Termination phase: shuffling
% 0.21/0.36 % (3856929)Time elapsed: 0.002 s
% 0.21/0.36 % (3856929)Peak memory usage: 10 MB
% 0.21/0.36 % (3856929)Instructions burned: 4 (million)
% 0.21/0.36 % (3856919)Instruction limit reached!
% 0.21/0.36 % (3856919)------------------------------
% 0.21/0.36 % (3856919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856919)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856919)Termination reason: Instruction limit
% 0.82/0.39 % (3856919)Termination phase: Saturation
% 0.82/0.39 % (3856919)Time elapsed: 0.037 s
% 0.82/0.39 % (3856919)Peak memory usage: 14 MB
% 0.82/0.39 % (3856919)Instructions burned: 159 (million)
% 0.82/0.39 % (3856934)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=27315651:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.39 % (3856938)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.39 % (3856918)Instruction limit reached!
% 0.82/0.39 % (3856918)------------------------------
% 0.82/0.39 % (3856918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856918)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856918)Termination reason: Instruction limit
% 0.82/0.39 % (3856918)Termination phase: Property scanning
% 0.82/0.39 % (3856934)Instruction limit reached!
% 0.82/0.39 % (3856934)------------------------------
% 0.82/0.39 % (3856934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856934)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856934)Termination reason: Instruction limit
% 0.82/0.39 % (3856934)Termination phase: shuffling
% 0.82/0.39 % (3856934)Time elapsed: 0.003 s
% 0.82/0.39 % (3856934)Peak memory usage: 10 MB
% 0.82/0.39 % (3856934)Instructions burned: 6 (million)
% 0.82/0.39 % (3856918)Time elapsed: 0.035 s
% 0.82/0.39 % (3856918)Peak memory usage: 12 MB
% 0.82/0.39 % (3856918)Instructions burned: 77 (million)
% 0.82/0.39 % (3856938)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1625006630:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.39 % (3856947)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
% 0.82/0.39 % (3856947)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.39 % (3856938)Instruction limit reached!
% 0.82/0.39 % (3856938)------------------------------
% 0.82/0.39 % (3856938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856938)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856938)Termination reason: Instruction limit
% 0.82/0.39 % (3856938)Termination phase: shuffling
% 0.82/0.39 % (3856938)Time elapsed: 0.004 s
% 0.82/0.39 % (3856938)Peak memory usage: 10 MB
% 0.82/0.39 % (3856938)Instructions burned: 8 (million)
% 0.82/0.39 % (3856947)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2977432701:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.39 % (3856913)Instruction limit reached!
% 0.82/0.39 % (3856913)------------------------------
% 0.82/0.39 % (3856913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856913)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856913)Termination reason: Instruction limit
% 0.82/0.39 % (3856913)Termination phase: Function definition elimination
% 0.82/0.39 % (3856913)Time elapsed: 0.044 s
% 0.82/0.39 % (3856913)Peak memory usage: 12 MB
% 0.82/0.39 % (3856913)Instructions burned: 88 (million)
% 0.82/0.39 % (3856944)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3115082318:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.39 % (3856947)Instruction limit reached!
% 0.82/0.39 % (3856947)------------------------------
% 0.82/0.39 % (3856947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (3856947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (3856947)CaDiCaL version: 2.1.3
% 0.82/0.39 % (3856947)Termination reason: Instruction limit
% 0.82/0.42 % (3856947)Termination phase: Property scanning
% 0.82/0.42 % (3856947)Time elapsed: 0.007 s
% 0.82/0.42 % (3856947)Peak memory usage: 10 MB
% 0.82/0.42 % (3856947)Instructions burned: 33 (million)
% 0.82/0.42 % (3856951)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=3484788234:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.42 % (3856952)lrs+10_1_si=on:cs=on:random_seed=1929175903:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.42 % (3856944)Instruction limit reached!
% 0.82/0.42 % (3856944)------------------------------
% 0.82/0.42 % (3856944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (3856944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (3856954)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.42 % (3856944)CaDiCaL version: 2.1.3
% 0.82/0.42 % (3856944)Termination reason: Instruction limit
% 0.82/0.42 % (3856944)Termination phase: shuffling
% 0.82/0.42 % (3856944)Time elapsed: 0.009 s
% 0.82/0.42 % (3856944)Peak memory usage: 10 MB
% 0.82/0.42 % (3856944)Instructions burned: 19 (million)
% 0.82/0.42 % (3856957)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2657236614:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.42 % (3856954)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=4016925639:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.42 % (3856952)Instruction limit reached!
% 0.82/0.42 % (3856952)------------------------------
% 0.82/0.42 % (3856952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (3856952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (3856952)CaDiCaL version: 2.1.3
% 0.82/0.42 % (3856952)Termination reason: Instruction limit
% 0.82/0.42 % (3856952)Termination phase: shuffling
% 0.82/0.42 % (3856952)Time elapsed: 0.004 s
% 0.82/0.42 % (3856952)Peak memory usage: 10 MB
% 0.82/0.42 % (3856952)Instructions burned: 8 (million)
% 0.82/0.42 % (3856954)Instruction limit reached!
% 0.82/0.42 % (3856954)------------------------------
% 0.82/0.42 % (3856954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (3856954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (3856954)CaDiCaL version: 2.1.3
% 0.82/0.42 % (3856954)Termination reason: Instruction limit
% 0.82/0.42 % (3856954)Termination phase: shuffling
% 0.82/0.42 % (3856954)Time elapsed: 0.005 s
% 0.82/0.42 % (3856954)Peak memory usage: 10 MB
% 0.82/0.42 % (3856954)Instructions burned: 10 (million)
% 0.82/0.42 % (3856955)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=165350954:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.42 % (3856957)Refutation not found, incomplete strategy
% 0.82/0.42 % (3856957)------------------------------
% 0.82/0.42 % (3856957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (3856957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (3856957)CaDiCaL version: 2.1.3
% 0.82/0.42 % (3856957)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.42 % (3856957)Time elapsed: 0.012 s
% 0.82/0.42 % (3856957)Peak memory usage: 12 MB
% 0.82/0.42 % (3856957)Instructions burned: 52 (million)
% 0.82/0.42 % (3856957)------------------------------
% 0.82/0.42 % (3856957)------------------------------
% 0.82/0.42 % (3856967)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=372395030:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.82/0.42 % (3856955)Refutation not found, incomplete strategy
% 0.82/0.42 % (3856955)------------------------------
% 0.82/0.42 % (3856955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (3856955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (3856955)CaDiCaL version: 2.1.3
% 0.82/0.42 % (3856955)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.42 % (3856955)Time elapsed: 0.016 s
% 0.82/0.42 % (3856955)Peak memory usage: 13 MB
% 0.82/0.42 % (3856955)Instructions burned: 31 (million)
% 0.82/0.48 % (3856964)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3181993708:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.48 % (3856955)------------------------------
% 0.82/0.48 % (3856955)------------------------------
% 0.82/0.48 % (3856970)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=636869900:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.48 % (3856969)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1686999126:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.48 % (3856967)Instruction limit reached!
% 0.82/0.48 % (3856967)------------------------------
% 0.82/0.48 % (3856967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3856967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3856967)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3856970)Instruction limit reached!
% 0.82/0.48 % (3856970)------------------------------
% 0.82/0.48 % (3856970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3856967)Termination reason: Instruction limit
% 0.82/0.48 % (3856967)Termination phase: shuffling
% 0.82/0.48 % (3856967)Time elapsed: 0.008 s
% 0.82/0.48 % (3856970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3856970)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3856967)Peak memory usage: 10 MB
% 0.82/0.48 % (3856970)Termination reason: Instruction limit
% 0.82/0.48 % (3856970)Termination phase: shuffling
% 0.82/0.48 % (3856970)Time elapsed: 0.004 s
% 0.82/0.48 % (3856967)Instructions burned: 17 (million)
% 0.82/0.48 % (3856970)Peak memory usage: 10 MB
% 0.82/0.48 % (3856970)Instructions burned: 18 (million)
% 0.82/0.48 % (3856951)Instruction limit reached!
% 0.82/0.48 % (3856951)------------------------------
% 0.82/0.48 % (3856951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3856951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3856951)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3856951)Termination reason: Instruction limit
% 0.82/0.48 % (3856951)Termination phase: Saturation
% 0.82/0.48 % (3856951)Time elapsed: 0.037 s
% 0.82/0.48 % (3856951)Peak memory usage: 12 MB
% 0.82/0.48 % (3856951)Instructions burned: 89 (million)
% 0.82/0.48 % (3856964)Instruction limit reached!
% 0.82/0.48 % (3856964)------------------------------
% 0.82/0.48 % (3856964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3856964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3856964)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3856964)Termination reason: Instruction limit
% 0.82/0.48 % (3856964)Termination phase: Naming
% 0.82/0.48 % (3856964)Time elapsed: 0.013 s
% 0.82/0.48 % (3856964)Peak memory usage: 11 MB
% 0.82/0.48 % (3856964)Instructions burned: 26 (million)
% 0.82/0.48 % (3856976)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1004942693:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.48 % (3856976)Instruction limit reached!
% 0.82/0.48 % (3856976)------------------------------
% 0.82/0.48 % (3856976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3856976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3856976)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3856976)Termination reason: Instruction limit
% 0.82/0.48 % (3856976)Termination phase: shuffling
% 0.82/0.48 % (3856976)Time elapsed: 0.003 s
% 0.82/0.48 % (3856976)Peak memory usage: 10 MB
% 0.82/0.48 % (3856976)Instructions burned: 5 (million)
% 0.82/0.48 % (3856979)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=975916472:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.82/0.48 % (3856981)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=292833348:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.82/0.48 % (3856983)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.82/0.48 % (3856983)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.49 % (3856982)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2910784183:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.49 % (3856983)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=2646158989:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.49 % (3856981)Instruction limit reached!
% 1.46/0.49 % (3856981)------------------------------
% 1.46/0.49 % (3856981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856981)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856981)Termination reason: Instruction limit
% 1.46/0.49 % (3856981)Termination phase: Property scanning
% 1.46/0.49 % (3856981)Time elapsed: 0.010 s
% 1.46/0.49 % (3856981)Peak memory usage: 10 MB
% 1.46/0.49 % (3856981)Instructions burned: 24 (million)
% 1.46/0.49 % (3856979)Instruction limit reached!
% 1.46/0.49 % (3856979)------------------------------
% 1.46/0.49 % (3856979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856979)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856979)Termination reason: Instruction limit
% 1.46/0.49 % (3856979)Termination phase: Property scanning
% 1.46/0.49 % (3856979)Time elapsed: 0.012 s
% 1.46/0.49 % (3856979)Peak memory usage: 10 MB
% 1.46/0.49 % (3856979)Instructions burned: 26 (million)
% 1.46/0.49 % (3856983)Instruction limit reached!
% 1.46/0.49 % (3856983)------------------------------
% 1.46/0.49 % (3856983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856983)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856983)Termination reason: Instruction limit
% 1.46/0.49 % (3856983)Termination phase: shuffling
% 1.46/0.49 % (3856983)Time elapsed: 0.007 s
% 1.46/0.49 % (3856983)Peak memory usage: 10 MB
% 1.46/0.49 % (3856983)Instructions burned: 15 (million)
% 1.46/0.49 % (3856989)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.49 % (3856989)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=2827541342:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.49 % (3856989)Instruction limit reached!
% 1.46/0.49 % (3856989)------------------------------
% 1.46/0.49 % (3856989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856989)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856989)Termination reason: Instruction limit
% 1.46/0.49 % (3856989)Termination phase: shuffling
% 1.46/0.49 % (3856989)Time elapsed: 0.004 s
% 1.46/0.49 % (3856989)Peak memory usage: 10 MB
% 1.46/0.49 % (3856989)Instructions burned: 9 (million)
% 1.46/0.49 % (3856996)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=930338517:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.49 % (3856997)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3799369330:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.49 % (3856999)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1730021787:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.49 % (3856997)Instruction limit reached!
% 1.46/0.49 % (3856997)------------------------------
% 1.46/0.49 % (3856997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856997)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856997)Termination reason: Instruction limit
% 1.46/0.49 % (3856997)Termination phase: shuffling
% 1.46/0.49 % (3856997)Time elapsed: 0.004 s
% 1.46/0.49 % (3856997)Peak memory usage: 10 MB
% 1.46/0.49 % (3856997)Instructions burned: 8 (million)
% 1.46/0.49 % (3856982)Instruction limit reached!
% 1.46/0.49 % (3856982)------------------------------
% 1.46/0.49 % (3856982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856982)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856982)Termination reason: Instruction limit
% 1.46/0.49 % (3856982)Termination phase: Property scanning
% 1.46/0.49 % (3856982)Time elapsed: 0.034 s
% 1.46/0.49 % (3856982)Peak memory usage: 12 MB
% 1.46/0.49 % (3856982)Instructions burned: 62 (million)
% 1.46/0.49 % (3857004)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4205124318:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.46/0.49 % (3856999)Instruction limit reached!
% 1.46/0.49 % (3856999)------------------------------
% 1.46/0.49 % (3856999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856999)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856999)Termination reason: Instruction limit
% 1.46/0.49 % (3856999)Termination phase: Property scanning
% 1.46/0.49 % (3856999)Time elapsed: 0.011 s
% 1.46/0.49 % (3856999)Peak memory usage: 10 MB
% 1.46/0.49 % (3856999)Instructions burned: 25 (million)
% 1.46/0.49 % (3856996)Instruction limit reached!
% 1.46/0.49 % (3856996)------------------------------
% 1.46/0.49 % (3856996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856996)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856996)Termination reason: Instruction limit
% 1.46/0.49 % (3856996)Termination phase: Property scanning
% 1.46/0.49 % (3856996)Time elapsed: 0.014 s
% 1.46/0.49 % (3856996)Peak memory usage: 10 MB
% 1.46/0.49 % (3856996)Instructions burned: 33 (million)
% 1.46/0.49 % (3857004)Instruction limit reached!
% 1.46/0.49 % (3857004)------------------------------
% 1.46/0.49 % (3857004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3857004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3857004)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3857004)Termination reason: Instruction limit
% 1.46/0.49 % (3857004)Termination phase: Property scanning
% 1.46/0.49 % (3857004)Time elapsed: 0.012 s
% 1.46/0.49 % (3857004)Peak memory usage: 10 MB
% 1.46/0.49 % (3857004)Instructions burned: 27 (million)
% 1.46/0.49 % (3857012)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2373271009:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.46/0.49 % (3857013)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2877743828:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.46/0.49 % (3857015)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1244894364:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.46/0.49 % (3857016)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2895800793:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.46/0.49 % (3857020)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.46/0.49 % (3857020)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2557941810:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.46/0.49 % (3857020)Instruction limit reached!
% 1.46/0.49 % (3857020)------------------------------
% 1.46/0.49 % (3857020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3857020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3857020)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3857020)Termination reason: Instruction limit
% 1.46/0.49 % (3857020)Termination phase: shuffling
% 1.46/0.49 % (3857020)Time elapsed: 0.004 s
% 1.46/0.49 % (3857020)Peak memory usage: 10 MB
% 1.46/0.49 % (3857020)Instructions burned: 8 (million)
% 1.46/0.49 % (3857016)Instruction limit reached!
% 1.46/0.49 % (3857016)------------------------------
% 1.46/0.49 % (3857016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3857016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3857016)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3857016)Termination reason: Instruction limit
% 1.46/0.49 % (3857016)Termination phase: Property scanning
% 1.46/0.49 % (3857016)Time elapsed: 0.019 s
% 1.46/0.49 % (3857016)Peak memory usage: 11 MB
% 1.46/0.49 % (3857016)Instructions burned: 43 (million)
% 1.46/0.49 % (3856969) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3856900-3856969"...
% 1.46/0.49 % (3857015)Refutation not found, incomplete strategy
% 1.46/0.49 % (3857015)------------------------------
% 1.46/0.49 % (3857015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3857015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3857015)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3857015)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.49 % (3857015)Time elapsed: 0.030 s
% 1.46/0.49 % (3857015)Peak memory usage: 13 MB
% 1.46/0.49 % (3857015)Instructions burned: 65 (million)
% 1.46/0.49 % (3857015)------------------------------
% 1.46/0.49 % (3857015)------------------------------
% 1.46/0.49 % (3857032)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3694313987:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.46/0.49 % (3856969)...printing done.
% 1.46/0.49 % (3856969)Refutation found. Thanks to Tanya!
% 1.46/0.49 % SZS status Theorem for theBenchmark
% 1.46/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.49 % (3856969)------------------------------
% 1.46/0.49 % (3856969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.49 % (3856969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.49 % (3856969)CaDiCaL version: 2.1.3
% 1.46/0.49 % (3856969)Termination reason: Refutation
% 1.46/0.49 % (3856969)Time elapsed: 0.122 s
% 1.46/0.49 % (3856969)Peak memory usage: 16 MB
% 1.46/0.49 % (3856969)Instructions burned: 262 (million)
% 1.46/0.49 % (3856900)Success in time 0.253 s
% 1.46/0.49 % Vampire exiting
%------------------------------------------------------------------------------