%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG258^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 07:45:26 AM UTC 2026
% Result : Theorem 221.17s 31.46s
% Output : Refutation 221.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of formulae : 188 ( 52 unt; 0 typ; 16 def)
% Number of atoms : 863 ( 296 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1538 ( 114 ~; 167 |; 0 &;1061 @)
% ( 16 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 589 ( 585 usr; 231 con; 0-4 aty)
% ( 122 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 309 ( 9 sgn 125 !; 0 ?; 309 :)
% 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,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_130,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_131,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vIFF: $o > $o > $o ).
thf(func_def_136,type,
vAND: $o > $o > $o ).
thf(func_def_137,type,
vNOT: $o > $o ).
thf(func_def_138,type,
sK0: term ).
thf(func_def_139,type,
sK1: term ).
thf(func_def_140,type,
sK2: term ).
thf(func_def_141,type,
sK3: term ).
thf(func_def_142,type,
sK4: ( term > $o ) > term ).
thf(func_def_143,type,
sK5: term > $o ).
thf(func_def_144,type,
sK6: term ).
thf(func_def_145,type,
sK7: subst > ( term > $o ) > term ).
thf(func_def_146,type,
sK8: term > $o ).
thf(func_def_147,type,
sK9: term ).
thf(func_def_148,type,
sK10: subst ).
thf(func_def_149,type,
sK11: term ).
thf(func_def_150,type,
sK12: subst ).
thf(func_def_151,type,
sK13: term ).
thf(func_def_152,type,
sK14: ( subst > term > subst > $o ) > subst ).
thf(func_def_153,type,
sK15: ( subst > term > subst > $o ) > subst ).
thf(func_def_154,type,
sK16: ( subst > term > subst > $o ) > term ).
thf(func_def_155,type,
sK17: ( subst > term > subst > $o ) > term ).
thf(func_def_156,type,
sK18: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_157,type,
sK19: ( subst > term > subst > $o ) > term ).
thf(func_def_158,type,
sK20: ( subst > term > subst > $o ) > subst ).
thf(func_def_159,type,
sK21: ( subst > term > subst > $o ) > term ).
thf(func_def_160,type,
sK22: ( subst > term > subst > $o ) > subst ).
thf(func_def_161,type,
sK23: ( subst > term > subst > $o ) > subst ).
thf(func_def_162,type,
sK24: ( subst > term > subst > $o ) > term ).
thf(func_def_163,type,
sK25: ( subst > term > subst > $o ) > subst ).
thf(func_def_164,type,
sK26: ( subst > term > subst > $o ) > subst ).
thf(func_def_165,type,
sK27: ( subst > term > subst > $o ) > term ).
thf(func_def_166,type,
sK28: ( subst > term > subst > $o ) > subst ).
thf(func_def_167,type,
sK29: ( subst > term > subst > $o ) > term ).
thf(func_def_168,type,
sK30: ( subst > term > subst > $o ) > subst ).
thf(func_def_169,type,
sK31: ( subst > term > subst > $o ) > subst ).
thf(func_def_170,type,
sK32: ( subst > term > subst > $o ) > term ).
thf(func_def_171,type,
sK33: ( subst > term > subst > $o ) > subst ).
thf(func_def_172,type,
sK34: ( subst > term > subst > $o ) > subst ).
thf(func_def_173,type,
sK35: ( subst > term > subst > $o ) > subst ).
thf(func_def_174,type,
sK36: ( subst > term > subst > $o ) > term ).
thf(func_def_175,type,
sK37: ( subst > term > subst > $o ) > subst ).
thf(func_def_176,type,
sK38: ( subst > term > subst > $o ) > subst ).
thf(func_def_177,type,
sK39: ( subst > term > subst > $o ) > term ).
thf(func_def_178,type,
sK40: ( subst > term > subst > $o ) > subst ).
thf(func_def_179,type,
sK41: ( subst > term > subst > $o ) > subst ).
thf(func_def_180,type,
sK42: ( subst > term > subst > $o ) > term ).
thf(func_def_181,type,
sK43: ( subst > term > subst > $o ) > subst ).
thf(func_def_182,type,
sK44: ( subst > term > subst > $o ) > term ).
thf(func_def_183,type,
sK45: ( subst > term > subst > $o ) > term ).
thf(func_def_184,type,
sK46: ( subst > term > subst > $o ) > subst ).
thf(func_def_185,type,
sK47: ( subst > term > subst > $o ) > subst ).
thf(func_def_186,type,
sK48: ( subst > term > subst > $o ) > term ).
thf(func_def_187,type,
sK49: ( subst > term > subst > $o ) > subst ).
thf(func_def_188,type,
sK50: ( subst > term > subst > $o ) > subst ).
thf(func_def_189,type,
sK51: ( subst > term > subst > $o ) > term ).
thf(func_def_190,type,
sK52: ( subst > term > subst > $o ) > term ).
thf(func_def_191,type,
sK53: ( subst > term > subst > $o ) > subst ).
thf(func_def_192,type,
sK54: ( subst > term > subst > $o ) > subst ).
thf(func_def_193,type,
sK55: ( subst > term > subst > $o ) > subst ).
thf(func_def_194,type,
sK56: ( subst > term > subst > $o ) > term ).
thf(func_def_195,type,
sK57: ( subst > term > subst > $o ) > subst ).
thf(func_def_196,type,
sK58: ( subst > term > subst > $o ) > subst ).
thf(func_def_197,type,
sK59: ( subst > term > subst > $o ) > term ).
thf(func_def_198,type,
sK60: ( subst > term > subst > $o ) > subst ).
thf(func_def_199,type,
sK61: ( subst > term > subst > $o ) > subst ).
thf(func_def_200,type,
sK62: ( subst > term > subst > $o ) > term ).
thf(func_def_201,type,
sK63: ( subst > term > subst > $o ) > subst ).
thf(func_def_202,type,
sK64: ( subst > term > subst > $o ) > subst ).
thf(func_def_203,type,
sK65: ( subst > term > subst > $o ) > subst ).
thf(func_def_204,type,
sK66: ( subst > term > subst > $o ) > subst ).
thf(func_def_205,type,
sK67: ( subst > term > subst > $o ) > term ).
thf(func_def_206,type,
sK68: ( subst > term > subst > $o ) > subst ).
thf(func_def_207,type,
sK69: ( subst > term > subst > $o ) > subst ).
thf(func_def_208,type,
sK70: ( subst > term > subst > $o ) > term ).
thf(func_def_209,type,
sK71: ( subst > term > subst > $o ) > subst ).
thf(func_def_210,type,
sK72: ( subst > term > subst > $o ) > subst ).
thf(func_def_211,type,
sK73: ( subst > term > subst > $o ) > term ).
thf(func_def_212,type,
sK74: ( subst > term > subst > $o ) > subst ).
thf(func_def_213,type,
sK75: ( subst > term > subst > $o ) > subst ).
thf(func_def_214,type,
sK76: ( subst > term > subst > $o ) > term ).
thf(func_def_215,type,
sK77: ( subst > term > subst > $o ) > subst ).
thf(func_def_216,type,
sK78: ( subst > term > subst > $o ) > subst ).
thf(func_def_217,type,
sK79: ( subst > term > subst > $o ) > subst ).
thf(func_def_218,type,
sK80: ( subst > term > subst > $o ) > subst ).
thf(func_def_219,type,
sK81: ( subst > term > subst > $o ) > term ).
thf(func_def_220,type,
sK82: ( subst > term > subst > $o ) > subst ).
thf(func_def_221,type,
sK83: ( subst > term > subst > $o ) > subst ).
thf(func_def_222,type,
sK84: ( subst > term > subst > $o ) > term ).
thf(func_def_223,type,
sK85: ( subst > term > subst > $o ) > subst ).
thf(func_def_224,type,
sK86: subst > term > subst > $o ).
thf(func_def_225,type,
sK87: ( subst > term > term ) > subst ).
thf(func_def_226,type,
sK88: ( subst > term > term ) > term ).
thf(func_def_227,type,
sK89: ( subst > term > term ) > term ).
thf(func_def_228,type,
sK90: ( subst > term > term ) > subst ).
thf(func_def_229,type,
sK91: ( subst > term > term ) > subst ).
thf(func_def_230,type,
sK92: term ).
thf(func_def_231,type,
sK93: term > subst > term > term ).
thf(func_def_232,type,
sK94: term ).
thf(func_def_233,type,
sK95: term ).
thf(func_def_234,type,
sK96: ( term > $o ) > term ).
thf(func_def_235,type,
sK97: ( term > $o ) > term ).
thf(func_def_236,type,
sK98: ( term > $o ) > term ).
thf(func_def_237,type,
sK99: ( term > $o ) > term ).
thf(func_def_238,type,
sK100: ( term > $o ) > term ).
thf(func_def_239,type,
sK101: term > $o ).
thf(func_def_240,type,
sK102: term > term ).
thf(func_def_241,type,
sK103: term ).
thf(func_def_242,type,
sK104: term ).
thf(func_def_243,type,
sK105: term ).
thf(func_def_244,type,
sK106: term ).
thf(func_def_245,type,
sK107: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_246,type,
sK108: ( subst > term > subst > $o ) > term > term ).
thf(func_def_247,type,
sK109: ( subst > term > subst > $o ) > term > term ).
thf(func_def_248,type,
sK110: ( subst > term > subst > $o ) > term > term ).
thf(func_def_249,type,
sK111: subst > term > subst > $o ).
thf(func_def_250,type,
sK112: ( subst > term > term ) > term ).
thf(func_def_251,type,
sK113: ( subst > term > term ) > term ).
thf(func_def_252,type,
sK114: ( subst > term > term ) > subst ).
thf(func_def_253,type,
sK115: ( subst > term > term ) > subst ).
thf(func_def_254,type,
sK116: ( subst > term > term ) > subst ).
thf(func_def_255,type,
sK117: term ).
thf(func_def_256,type,
sK118: subst ).
thf(func_def_257,type,
sK119: term ).
thf(func_def_258,type,
sK120: subst ).
thf(func_def_259,type,
sK121: ( subst > term > subst > $o ) > term ).
thf(func_def_260,type,
sK122: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_261,type,
sK123: ( subst > term > subst > $o ) > term ).
thf(func_def_262,type,
sK124: ( subst > term > subst > $o ) > term ).
thf(func_def_263,type,
sK125: subst > term > subst > $o ).
thf(func_def_264,type,
sK126: ( subst > term > term ) > subst ).
thf(func_def_265,type,
sK127: ( subst > term > term ) > term ).
thf(func_def_266,type,
sK128: ( subst > term > term ) > term ).
thf(func_def_267,type,
sK129: ( subst > term > term ) > subst ).
thf(func_def_268,type,
sK130: ( subst > term > term ) > subst ).
thf(func_def_269,type,
sK131: term ).
thf(func_def_270,type,
sK132: ( subst > term > subst > $o ) > term ).
thf(func_def_271,type,
sK133: ( subst > term > subst > $o ) > subst ).
thf(func_def_272,type,
sK134: ( term > $o ) > ( subst > term > subst > $o ) > term ).
thf(func_def_273,type,
sK135: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_274,type,
sK136: ( subst > term > subst > $o ) > subst ).
thf(func_def_275,type,
sK137: ( subst > term > subst > $o ) > subst ).
thf(func_def_276,type,
sK138: term > ( term > $o ) > term ).
thf(func_def_277,type,
sK139: ( subst > term > subst > $o ) > subst ).
thf(func_def_278,type,
sK140: ( subst > term > subst > $o ) > subst ).
thf(func_def_279,type,
sK141: ( subst > term > subst > $o ) > term ).
thf(func_def_280,type,
sK142: ( subst > term > subst > $o ) > subst ).
thf(func_def_281,type,
sK143: ( subst > term > subst > $o ) > subst ).
thf(func_def_282,type,
sK144: ( subst > term > subst > $o ) > subst ).
thf(func_def_283,type,
sK145: ( subst > term > subst > $o ) > subst ).
thf(func_def_284,type,
sK146: ( subst > term > subst > $o ) > term ).
thf(func_def_285,type,
sK147: ( subst > term > subst > $o ) > subst ).
thf(func_def_286,type,
sK148: term > ( term > $o ) > term ).
thf(func_def_287,type,
sK149: ( subst > term > subst > $o ) > subst ).
thf(func_def_288,type,
sK150: ( subst > term > subst > $o ) > subst ).
thf(func_def_289,type,
sK151: ( subst > term > subst > $o ) > subst ).
thf(func_def_290,type,
sK152: ( subst > term > subst > $o ) > term ).
thf(func_def_291,type,
sK153: ( subst > term > subst > $o ) > subst ).
thf(func_def_292,type,
sK154: ( subst > term > subst > $o ) > term ).
thf(func_def_293,type,
sK155: term > ( term > $o ) > term ).
thf(func_def_294,type,
sK156: ( subst > term > subst > $o ) > subst ).
thf(func_def_295,type,
sK157: ( subst > term > subst > $o ) > subst ).
thf(func_def_296,type,
sK158: ( subst > term > subst > $o ) > subst ).
thf(func_def_297,type,
sK159: ( subst > term > subst > $o ) > term ).
thf(func_def_298,type,
sK160: ( subst > term > subst > $o ) > subst ).
thf(func_def_299,type,
sK161: ( subst > term > subst > $o ) > subst ).
thf(func_def_300,type,
sK162: ( subst > term > subst > $o ) > subst ).
thf(func_def_301,type,
sK163: ( subst > term > subst > $o ) > term ).
thf(func_def_302,type,
sK164: term > $o ).
thf(func_def_303,type,
sK165: subst > term > subst > $o ).
thf(func_def_304,type,
sK166: ( subst > term > term ) > subst ).
thf(func_def_305,type,
sK167: ( subst > term > term ) > term ).
thf(func_def_306,type,
sK168: ( subst > term > term ) > subst ).
thf(func_def_307,type,
sK169: ( subst > term > term ) > term ).
thf(func_def_308,type,
sK170: ( subst > term > term ) > term ).
thf(func_def_309,type,
sK171: term ).
thf(func_def_310,type,
sK172: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_311,type,
sK173: ( subst > term > subst > $o ) > term ).
thf(func_def_312,type,
sK174: ( subst > term > subst > $o ) > term > term ).
thf(func_def_313,type,
sK175: ( subst > term > subst > $o ) > term > term ).
thf(func_def_314,type,
sK176: ( subst > term > subst > $o ) > term > term ).
thf(func_def_315,type,
sK177: subst > term > subst > $o ).
thf(func_def_316,type,
sK178: ( subst > term > term ) > term ).
thf(func_def_317,type,
sK179: ( subst > term > term ) > term > term ).
thf(func_def_318,type,
sK180: ( subst > term > term ) > term > subst ).
thf(func_def_319,type,
sK181: ( subst > term > term ) > term > subst ).
thf(func_def_320,type,
sK182: ( subst > term > term ) > term > term ).
thf(func_def_321,type,
sK183: ( subst > term > term ) > term > subst ).
thf(func_def_322,type,
sK184: ( subst > term > term ) > term > subst ).
thf(func_def_323,type,
sK185: term ).
thf(func_def_324,type,
sK186: subst ).
thf(func_def_325,type,
sK187: subst ).
thf(func_def_326,type,
sK188: term ).
thf(func_def_327,type,
sK189: subst ).
thf(func_def_328,type,
sK190: subst ).
thf(func_def_329,type,
sK191: subst ).
thf(func_def_330,type,
sK192: term ).
thf(func_def_331,type,
sK193: term ).
thf(func_def_332,type,
sK194: term ).
thf(func_def_333,type,
sK195: ( subst > term > subst > $o ) > subst ).
thf(func_def_334,type,
sK196: ( subst > term > subst > $o ) > subst ).
thf(func_def_335,type,
sK197: ( subst > term > subst > $o ) > term ).
thf(func_def_336,type,
sK198: ( term > $o ) > ( subst > term > subst > $o ) > term ).
thf(func_def_337,type,
sK199: ( subst > term > subst > $o ) > subst ).
thf(func_def_338,type,
sK200: ( subst > term > subst > $o ) > term ).
thf(func_def_339,type,
sK201: ( subst > term > subst > $o ) > term ).
thf(func_def_340,type,
sK202: ( subst > term > subst > $o ) > subst ).
thf(func_def_341,type,
sK203: ( subst > term > subst > $o ) > subst ).
thf(func_def_342,type,
sK204: ( subst > term > subst > $o ) > subst ).
thf(func_def_343,type,
sK205: ( subst > term > subst > $o ) > term ).
thf(func_def_344,type,
sK206: ( subst > term > subst > $o ) > term ).
thf(func_def_345,type,
sK207: ( subst > term > subst > $o ) > subst ).
thf(func_def_346,type,
sK208: ( subst > term > subst > $o ) > subst ).
thf(func_def_347,type,
sK209: ( subst > term > subst > $o ) > subst ).
thf(func_def_348,type,
sK210: term > $o ).
thf(func_def_349,type,
sK211: subst > term > subst > $o ).
thf(func_def_350,type,
sK212: term ).
thf(func_def_351,type,
sK213: subst ).
thf(func_def_352,type,
sK214: term ).
thf(func_def_353,type,
sK215: term ).
thf(func_def_354,type,
sK216: term ).
thf(func_def_355,type,
sK217: term ).
thf(func_def_356,type,
sK218: term ).
thf(func_def_357,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_358,type,
sK219: term > ( term > $o ) > ( term > $o ) > subst > term ).
thf(func_def_359,type,
sK220: ( term > $o ) > subst > term ).
thf(func_def_360,type,
sK221: term > $o ).
thf(func_def_361,type,
sK222: subst ).
thf(func_def_362,type,
sK223: term ).
thf(func_def_363,type,
sK224: term > $o ).
thf(func_def_364,type,
sK225: term ).
thf(func_def_365,type,
sK226: ( subst > term > subst > $o ) > subst ).
thf(func_def_366,type,
sK227: ( subst > term > subst > $o ) > term ).
thf(func_def_367,type,
sK228: ( term > $o ) > ( subst > term > subst > $o ) > term ).
thf(func_def_368,type,
sK229: ( subst > term > subst > $o ) > subst ).
thf(func_def_369,type,
sK230: ( subst > term > subst > $o ) > subst ).
thf(func_def_370,type,
sK231: ( subst > term > subst > $o ) > term ).
thf(func_def_371,type,
sK232: ( subst > term > subst > $o ) > subst ).
thf(func_def_372,type,
sK233: ( subst > term > subst > $o ) > term ).
thf(func_def_373,type,
sK234: ( subst > term > subst > $o ) > term ).
thf(func_def_374,type,
sK235: ( subst > term > subst > $o ) > subst ).
thf(func_def_375,type,
sK236: ( subst > term > subst > $o ) > subst ).
thf(func_def_376,type,
sK237: ( subst > term > subst > $o ) > subst ).
thf(func_def_377,type,
sK238: ( subst > term > subst > $o ) > subst ).
thf(func_def_378,type,
sK239: ( subst > term > subst > $o ) > subst ).
thf(func_def_379,type,
sK240: ( subst > term > subst > $o ) > subst ).
thf(func_def_380,type,
sK241: term > $o ).
thf(func_def_381,type,
sK242: subst > term > subst > $o ).
thf(func_def_382,type,
sK243: term ).
thf(func_def_383,type,
sK244: term ).
thf(func_def_384,type,
sK245: ( subst > term > subst > $o ) > term > $o ).
thf(func_def_385,type,
sK246: subst > term > subst > $o ).
thf(func_def_386,type,
sK247: ( term > $o ) > term ).
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: subst ).
thf(func_def_391,type,
sK252: term ).
thf(func_def_392,type,
sK253: term ).
thf(func_def_393,type,
sK254: subst ).
thf(func_def_394,type,
sK255: term ).
thf(func_def_395,type,
sK256: term ).
thf(func_def_396,type,
sK257: term ).
thf(func_def_397,type,
sK258: term ).
thf(func_def_398,type,
sK259: term > ( term > $o ) > subst > term > $o ).
thf(func_def_399,type,
sK260: term > $o ).
thf(func_def_400,type,
sK261: subst ).
thf(func_def_401,type,
sK262: term ).
thf(func_def_402,type,
sK263: ( term > $o ) > term ).
thf(func_def_403,type,
sK264: ( subst > term > term ) > subst ).
thf(func_def_404,type,
sK265: ( subst > term > term ) > term ).
thf(func_def_405,type,
sK266: ( subst > term > term ) > subst ).
thf(func_def_406,type,
sK267: subst > term > term ).
thf(func_def_407,type,
sK268: term ).
thf(func_def_408,type,
sK269: term ).
thf(func_def_409,type,
sK270: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_410,type,
sK271: ( subst > term > subst > $o ) > term > term ).
thf(func_def_411,type,
sK272: subst > term > subst > $o ).
thf(func_def_412,type,
sK273: ( subst > term > term ) > term ).
thf(func_def_413,type,
sK274: ( subst > term > term ) > subst ).
thf(func_def_414,type,
sK275: ( subst > term > term ) > subst ).
thf(func_def_415,type,
sK276: ( subst > term > term ) > term ).
thf(func_def_416,type,
sK277: ( subst > term > term ) > term ).
thf(func_def_417,type,
sK278: term ).
thf(func_def_418,type,
sK279: term > subst > term > term ).
thf(func_def_419,type,
sK280: term ).
thf(func_def_420,type,
sK281: ( subst > term > term ) > subst ).
thf(func_def_421,type,
sK282: ( subst > term > term ) > term ).
thf(func_def_422,type,
sK283: subst ).
thf(func_def_423,type,
sK284: term ).
thf(func_def_424,type,
sK285: subst ).
thf(func_def_425,type,
sK286: subst ).
thf(func_def_426,type,
sK287: subst ).
thf(func_def_427,type,
sK288: subst ).
thf(func_def_428,type,
sK289: subst ).
thf(func_def_429,type,
sK290: subst ).
thf(func_def_430,type,
sK291: ( term > $o ) > term ).
thf(func_def_431,type,
sK292: term > subst > ( term > $o ) > ( term > $o ) > term ).
thf(func_def_432,type,
sK293: subst ).
thf(func_def_433,type,
sK294: term > $o ).
thf(func_def_434,type,
sK295: term ).
thf(func_def_435,type,
sK296: term > $o ).
thf(func_def_436,type,
sK297: term ).
thf(func_def_437,type,
sK298: subst ).
thf(func_def_438,type,
sK299: term ).
thf(func_def_439,type,
sK300: term ).
thf(func_def_440,type,
sK301: term ).
thf(func_def_441,type,
sK302: ( subst > term > subst > $o ) > subst ).
thf(func_def_442,type,
sK303: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_443,type,
sK304: ( subst > term > subst > $o ) > subst ).
thf(func_def_444,type,
sK305: ( subst > term > subst > $o ) > term ).
thf(func_def_445,type,
sK306: ( subst > term > subst > $o ) > term ).
thf(func_def_446,type,
sK307: ( subst > term > subst > $o ) > term > term ).
thf(func_def_447,type,
sK308: ( subst > term > subst > $o ) > subst ).
thf(func_def_448,type,
sK309: ( subst > term > subst > $o ) > subst ).
thf(func_def_449,type,
sK310: ( subst > term > subst > $o ) > subst ).
thf(func_def_450,type,
sK311: ( subst > term > subst > $o ) > subst ).
thf(func_def_451,type,
sK312: ( subst > term > subst > $o ) > subst ).
thf(func_def_452,type,
sK313: ( subst > term > subst > $o ) > subst ).
thf(func_def_453,type,
sK314: ( subst > term > subst > $o ) > term > term ).
thf(func_def_454,type,
sK315: ( subst > term > subst > $o ) > subst ).
thf(func_def_455,type,
sK316: ( subst > term > subst > $o ) > subst ).
thf(func_def_456,type,
sK317: ( subst > term > subst > $o ) > subst ).
thf(func_def_457,type,
sK318: ( subst > term > subst > $o ) > subst ).
thf(func_def_458,type,
sK319: ( subst > term > subst > $o ) > subst ).
thf(func_def_459,type,
sK320: ( subst > term > subst > $o ) > subst ).
thf(func_def_460,type,
sK321: ( subst > term > subst > $o ) > subst ).
thf(func_def_461,type,
sK322: ( subst > term > subst > $o ) > subst ).
thf(func_def_462,type,
sK323: ( subst > term > subst > $o ) > subst ).
thf(func_def_463,type,
sK324: ( subst > term > subst > $o ) > subst ).
thf(func_def_464,type,
sK325: ( subst > term > subst > $o ) > subst ).
thf(func_def_465,type,
sK326: ( subst > term > subst > $o ) > subst ).
thf(func_def_466,type,
sK327: ( subst > term > subst > $o ) > subst ).
thf(func_def_467,type,
sK328: ( subst > term > subst > $o ) > subst ).
thf(func_def_468,type,
sK329: ( subst > term > subst > $o ) > subst ).
thf(func_def_469,type,
sK330: subst > term > subst > $o ).
thf(func_def_470,type,
sK331: ( subst > term > term ) > term ).
thf(func_def_471,type,
sK332: ( subst > term > term ) > term ).
thf(func_def_472,type,
sK333: ( subst > term > term ) > subst ).
thf(func_def_473,type,
sK334: ( subst > term > term ) > subst ).
thf(func_def_474,type,
sK335: ( subst > term > term ) > subst ).
thf(func_def_475,type,
sK336: term ).
thf(func_def_476,type,
sK337: ( subst > term > subst > $o ) > subst ).
thf(func_def_477,type,
sK338: ( subst > term > subst > $o ) > term ).
thf(func_def_478,type,
sK339: ( subst > term > subst > $o ) > subst ).
thf(func_def_479,type,
sK340: ( subst > term > subst > $o ) > term ).
thf(func_def_480,type,
sK341: ( subst > term > subst > $o ) > subst ).
thf(func_def_481,type,
sK342: ( subst > term > subst > $o ) > term ).
thf(func_def_482,type,
sK343: ( subst > term > subst > $o ) > term ).
thf(func_def_483,type,
sK344: ( subst > term > subst > $o ) > subst ).
thf(func_def_484,type,
sK345: ( subst > term > subst > $o ) > subst ).
thf(func_def_485,type,
sK346: ( subst > term > subst > $o ) > subst ).
thf(func_def_486,type,
sK347: ( subst > term > subst > $o ) > subst ).
thf(func_def_487,type,
sK348: ( subst > term > subst > $o ) > subst ).
thf(func_def_488,type,
sK349: ( subst > term > subst > $o ) > subst ).
thf(func_def_489,type,
sK350: ( subst > term > subst > $o ) > subst ).
thf(func_def_490,type,
sK351: subst > term > subst > $o ).
thf(func_def_491,type,
sK352: term ).
thf(func_def_492,type,
sK353: term ).
thf(func_def_493,type,
sK354: ( term > $o ) > term ).
thf(func_def_494,type,
sK355: ( term > $o ) > term ).
thf(func_def_495,type,
sK356: ( term > $o ) > term ).
thf(func_def_496,type,
sK357: ( term > $o ) > term ).
thf(func_def_497,type,
sK358: term > $o ).
thf(func_def_498,type,
sK359: term ).
thf(func_def_499,type,
sK360: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_500,type,
sK361: ( term > $o ) > ( subst > term > subst > $o ) > term ).
thf(func_def_501,type,
sK362: term > ( term > $o ) > term ).
thf(func_def_502,type,
sK363: term > ( term > $o ) > term ).
thf(func_def_503,type,
sK364: term > ( term > $o ) > term ).
thf(func_def_504,type,
sK365: term > $o ).
thf(func_def_505,type,
sK366: subst > term > subst > $o ).
thf(func_def_506,type,
sK367: ( subst > term > term ) > subst ).
thf(func_def_507,type,
sK368: ( subst > term > term ) > term ).
thf(func_def_508,type,
sK369: ( subst > term > term ) > subst ).
thf(func_def_509,type,
sK370: ( subst > term > term ) > term ).
thf(func_def_510,type,
sK371: ( subst > term > term ) > term ).
thf(func_def_511,type,
sK372: term ).
thf(func_def_512,type,
sK373: ( term > $o ) > term ).
thf(func_def_513,type,
sK374: ( term > $o ) > term ).
thf(func_def_514,type,
sK375: ( term > $o ) > term ).
thf(func_def_515,type,
sK376: ( term > $o ) > subst > term ).
thf(func_def_516,type,
sK377: ( term > $o ) > subst > term ).
thf(func_def_517,type,
sK378: ( term > $o ) > subst > term ).
thf(func_def_518,type,
sK379: term > $o ).
thf(func_def_519,type,
sK380: term > term ).
thf(func_def_520,type,
sK381: subst ).
thf(func_def_521,type,
sK382: term ).
thf(func_def_522,type,
sK383: subst ).
thf(func_def_523,type,
sK384: term ).
thf(func_def_524,type,
sK385: term ).
thf(func_def_525,type,
sK386: term > ( term > $o ) > subst > ( term > $o ) > term ).
thf(func_def_526,type,
sK387: term > $o ).
thf(func_def_527,type,
sK388: term > $o ).
thf(func_def_528,type,
sK389: term ).
thf(func_def_529,type,
sK390: subst ).
thf(func_def_530,type,
sK391: term > $o ).
thf(func_def_531,type,
sK392: term ).
thf(func_def_532,type,
sK393: subst ).
thf(func_def_533,type,
sK394: term ).
thf(func_def_534,type,
sK395: term > $o ).
thf(func_def_535,type,
sK396: ( subst > term > subst > $o ) > term ).
thf(func_def_536,type,
sK397: ( subst > term > subst > $o ) > subst ).
thf(func_def_537,type,
sK398: ( subst > term > subst > $o ) > term ).
thf(func_def_538,type,
sK399: ( subst > term > subst > $o ) > subst ).
thf(func_def_539,type,
sK400: ( subst > term > subst > $o ) > subst ).
thf(func_def_540,type,
sK401: ( subst > term > subst > $o ) > subst ).
thf(func_def_541,type,
sK402: ( subst > term > subst > $o ) > subst ).
thf(func_def_542,type,
sK403: ( subst > term > subst > $o ) > subst ).
thf(func_def_543,type,
sK404: ( subst > term > subst > $o ) > term ).
thf(func_def_544,type,
sK405: ( subst > term > subst > $o ) > subst ).
thf(func_def_545,type,
sK406: ( subst > term > subst > $o ) > subst ).
thf(func_def_546,type,
sK407: ( subst > term > subst > $o ) > subst ).
thf(func_def_547,type,
sK408: ( subst > term > subst > $o ) > subst ).
thf(func_def_548,type,
sK409: ( subst > term > subst > $o ) > term ).
thf(func_def_549,type,
sK410: subst > term > subst > $o ).
thf(func_def_550,type,
sK411: term ).
thf(func_def_551,type,
sK412: term ).
thf(func_def_552,type,
sK413: term ).
thf(func_def_553,type,
sK414: ( subst > term > term ) > subst ).
thf(func_def_554,type,
sK415: ( subst > term > term ) > term ).
thf(func_def_555,type,
sK416: ( subst > term > term ) > subst ).
thf(func_def_556,type,
sK417: subst > term > term ).
thf(func_def_557,type,
sK418: term ).
thf(func_def_558,type,
sK419: term ).
thf(func_def_559,type,
sK420: term ).
thf(func_def_560,type,
sK421: term ).
thf(func_def_561,type,
sK422: ( subst > term > term ) > term ).
thf(func_def_562,type,
sK423: ( subst > term > term ) > subst ).
thf(func_def_563,type,
sK424: ( subst > term > term ) > subst ).
thf(func_def_564,type,
sK425: ( subst > term > term ) > subst ).
thf(func_def_565,type,
sK426: ( subst > term > term ) > subst ).
thf(func_def_566,type,
sK427: ( subst > term > term ) > term ).
thf(func_def_567,type,
sK428: subst > term > term ).
thf(func_def_568,type,
sK429: subst > term > term ).
thf(func_def_569,type,
sK430: subst ).
thf(func_def_570,type,
sK431: term ).
thf(f2,axiom,
( axvarcons
= ( ! [X0: term,X1: subst] :
( ( sub @ one @ ( push @ X0 @ X1 ) )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarcons) ).
thf(f7,axiom,
( axshiftcons
= ( ! [X0: term,X1: subst] :
( ( comp @ sh @ ( push @ X0 @ X1 ) )
= X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axshiftcons) ).
thf(f18,axiom,
! [X1: term,X0: term] :
( ( ( ( lam @ X0 )
= ( lam @ X1 ) )
=> ( X0 = X1 ) )
= laminj ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',laminj) ).
thf(f56,axiom,
( hoaslam
= ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslam) ).
thf(f64,axiom,
( hoaslaminj
= ( ! [X0: subst > term > term] :
( ! [X1: subst,X3: subst,X2: term] :
( ( sub @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ ( comp @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ! [X4: subst > term > term] :
( ! [X2: term,X1: subst,X3: subst] :
( ( sub @ ( X4 @ X1 @ X2 ) @ X3 )
= ( X4 @ ( comp @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ( ( ( hoaslam @ id
@ ^ [X1: subst,X2: term] : ( X4 @ X1 @ X2 ) )
= ( hoaslam @ id
@ ^ [X1: subst,X2: term] : ( X0 @ X1 @ X2 ) ) )
=> ! [X2: term,X1: subst] :
( ( X0 @ X1 @ X2 )
= ( X4 @ X1 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslaminj) ).
thf(f66,axiom,
( ( hoaslaminj_lthm = axvarcons )
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslaminj_lthm) ).
thf(f114,conjecture,
hoaslaminj_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoaslaminj_lthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f134,plain,
( ( hoaslaminj_lthm = axvarcons )
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) ),
inference(rectify,[],[f66]) ).
thf(f135,plain,
( hoaslaminj_lthm
= ( axvarcons
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) ) ),
inference(fool_elimination,[],[f134]) ).
thf(f142,plain,
( hoaslaminj
= ( ! [X0: subst > term > term] :
( ! [X1: subst,X2: subst,X3: term] :
( ( X0 @ ( comp @ X1 @ X2 ) @ ( sub @ X3 @ X2 ) )
= ( sub @ ( X0 @ X1 @ X3 ) @ X2 ) )
=> ! [X4: subst > term > term] :
( ! [X5: term,X6: subst,X7: subst] :
( ( X4 @ ( comp @ X6 @ X7 ) @ ( sub @ X5 @ X7 ) )
= ( sub @ ( X4 @ X6 @ X5 ) @ X7 ) )
=> ( ( ( hoaslam @ id
@ ^ [X8: subst,X9: term] : ( X4 @ X8 @ X9 ) )
= ( hoaslam @ id
@ ^ [X10: subst,X11: term] : ( X0 @ X10 @ X11 ) ) )
=> ! [X12: term,X13: subst] :
( ( X4 @ X13 @ X12 )
= ( X0 @ X13 @ X12 ) ) ) ) ) ) ),
inference(rectify,[],[f64]) ).
thf(f143,plain,
( hoaslaminj
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y0 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y1 @ Y2 ) )
= ( sub @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y4 @ Y2 ) )
= ( sub @ ( Y1 @ Y3 @ Y4 ) @ Y2 ) ) ) ) )
=> ( ( ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
= ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y0 @ Y2 @ Y3 ) ) )
=> ( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ Y2 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f142]) ).
thf(f147,plain,
~ hoaslaminj_lthm,
inference(rectify,[],[f115]) ).
thf(f148,plain,
hoaslaminj_lthm != $true,
inference(fool_elimination,[],[f147]) ).
thf(f191,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f264,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f273,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f295,plain,
! [X0: term,X1: term] :
( ( ( ( lam @ X0 )
= ( lam @ X1 ) )
=> ( X0 = X1 ) )
= laminj ),
inference(rectify,[],[f18]) ).
thf(f296,plain,
( laminj
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( lam @ Y1 )
= ( lam @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(fool_elimination,[],[f295]) ).
thf(f317,plain,
hoaslaminj_lthm != $true,
inference(flattening,[],[f148]) ).
thf(f339,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f273]) ).
thf(f371,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(cnf_transformation,[],[f264]) ).
thf(f376,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf_transformation,[],[f191]) ).
thf(f410,plain,
( hoaslaminj_lthm
= ( axvarcons
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) ) ),
inference(cnf_transformation,[],[f135]) ).
thf(f417,plain,
( laminj
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( lam @ Y1 )
= ( lam @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f296]) ).
thf(f421,plain,
hoaslaminj_lthm != $true,
inference(cnf_transformation,[],[f317]) ).
thf(f422,plain,
( hoaslaminj
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y0 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y1 @ Y2 ) )
= ( sub @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y4 @ Y2 ) )
= ( sub @ ( Y1 @ Y3 @ Y4 ) @ Y2 ) ) ) ) )
=> ( ( ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
= ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y0 @ Y2 @ Y3 ) ) )
=> ( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ Y2 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f143]) ).
thf(f460,plain,
( hoaslaminj
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y0 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y1 @ Y2 ) )
= ( sub @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y4 @ Y2 ) )
= ( sub @ ( Y1 @ Y3 @ Y4 ) @ Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
= ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y0 @ Y2 @ Y3 ) ) )
=> ( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ Y2 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f422,f376,f376]) ).
thf(f553,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) )
= $true )
| ( axvarcons = $false ) ),
inference(iff_proxy_clausification,[],[f371]) ).
thf(f554,plain,
! [X1: subst] :
( ( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) )
@ X1 ) )
| ( axvarcons = $false ) ),
inference(pi_proxy_clausification,[],[f553]) ).
thf(f555,plain,
! [X1: subst] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 ) ) )
| ( axvarcons = $false ) ),
inference(beta-eta_normalization,[],[f554]) ).
thf(f556,plain,
! [X2: term,X1: subst] :
( ( axvarcons = $false )
| ( ( ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f555]) ).
thf(f557,plain,
! [X2: term,X1: subst] :
( ( axvarcons = $false )
| ( $true
= ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ) ),
inference(beta-eta_normalization,[],[f556]) ).
thf(f558,plain,
! [X2: term,X1: subst] :
( ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 )
| ( axvarcons = $false ) ),
inference(equality_proxy_clausification,[],[f557]) ).
thf(f2254,plain,
( ( hoaslaminj_lthm = $true )
| ( ( axvarcons
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f410]) ).
thf(f2259,plain,
( ( ( axshiftcons
=> ( laminj
=> hoaslaminj ) )
= $false )
| ( hoaslaminj_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f2254]) ).
thf(f2260,plain,
( ( axvarcons = $true )
| ( hoaslaminj_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f2254]) ).
thf(f2261,plain,
( ( hoaslaminj_lthm = $true )
| ( ( laminj
=> hoaslaminj )
= $false ) ),
inference(imp_proxy_clausification,[],[f2259]) ).
thf(f2262,plain,
( ( hoaslaminj_lthm = $true )
| ( axshiftcons = $true ) ),
inference(imp_proxy_clausification,[],[f2259]) ).
thf(f2263,plain,
( ( hoaslaminj_lthm = $true )
| ( hoaslaminj = $false ) ),
inference(imp_proxy_clausification,[],[f2261]) ).
thf(f2264,plain,
( ( laminj = $true )
| ( hoaslaminj_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f2261]) ).
thf(f2509,plain,
( ( axshiftcons = $false )
| ( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f339]) ).
thf(f2510,plain,
! [X1: subst] :
( ( axshiftcons = $false )
| ( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f2509]) ).
thf(f2511,plain,
! [X1: subst] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 ) ) )
| ( axshiftcons = $false ) ),
inference(beta-eta_normalization,[],[f2510]) ).
thf(f2512,plain,
! [X2: term,X1: subst] :
( ( ( ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 )
@ X2 )
= $true )
| ( axshiftcons = $false ) ),
inference(pi_proxy_clausification,[],[f2511]) ).
thf(f2513,plain,
! [X2: term,X1: subst] :
( ( axshiftcons = $false )
| ( ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f2512]) ).
thf(f2514,plain,
! [X2: term,X1: subst] :
( ( axshiftcons = $false )
| ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ) ),
inference(equality_proxy_clausification,[],[f2513]) ).
thf(f5248,plain,
( ( laminj = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( lam @ Y1 )
= ( lam @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f417]) ).
thf(f5249,plain,
! [X1: term] :
( ( laminj = $false )
| ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( lam @ Y1 )
= ( lam @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f5248]) ).
thf(f5250,plain,
! [X1: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( ( lam @ Y0 )
= ( lam @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true )
| ( laminj = $false ) ),
inference(beta-eta_normalization,[],[f5249]) ).
thf(f5251,plain,
! [X2: term,X1: term] :
( ( ( ^ [Y0: term] :
( ( ( lam @ Y0 )
= ( lam @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true )
| ( laminj = $false ) ),
inference(pi_proxy_clausification,[],[f5250]) ).
thf(f5252,plain,
! [X2: term,X1: term] :
( ( ( ( ( lam @ X2 )
= ( lam @ X1 ) )
=> ( X2 = X1 ) )
= $true )
| ( laminj = $false ) ),
inference(beta-eta_normalization,[],[f5251]) ).
thf(f5253,plain,
! [X2: term,X1: term] :
( ( ( X2 = X1 )
= $true )
| ( laminj = $false )
| ( $false
= ( ( lam @ X2 )
= ( lam @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f5252]) ).
thf(f5254,plain,
! [X2: term,X1: term] :
( ( $false
= ( ( lam @ X2 )
= ( lam @ X1 ) ) )
| ( laminj = $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f5253]) ).
thf(f5255,plain,
! [X2: term,X1: term] :
( ( ( lam @ X1 )
!= ( lam @ X2 ) )
| ( laminj = $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f5254]) ).
thf(f5427,plain,
( ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y0 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y1 @ Y2 ) )
= ( sub @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y4 @ Y2 ) )
= ( sub @ ( Y1 @ Y3 @ Y4 ) @ Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
= ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y0 @ Y2 @ Y3 ) ) )
=> ( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ Y2 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
| ( hoaslaminj = $true ) ),
inference(iff_proxy_clausification,[],[f460]) ).
thf(f5451,plain,
( ( ( ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y0 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y1 @ Y2 ) )
= ( sub @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ ( comp @ Y3 @ Y2 ) @ ( sub @ Y4 @ Y2 ) )
= ( sub @ ( Y1 @ Y3 @ Y4 ) @ Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
= ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y0 @ Y2 @ Y3 ) ) )
=> ( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ Y2 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ sK428 )
= $false )
| ( hoaslaminj = $true ) ),
inference(sigma_proxy_clausification,[],[f5427]) ).
thf(f5452,plain,
( ( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sK428 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y0 @ Y1 ) )
= ( sub @ ( sK428 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( ( ( lam @ ( Y0 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
=> ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y1 @ Y2 )
= ( sK428 @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $false )
| ( hoaslaminj = $true ) ),
inference(beta-eta_normalization,[],[f5451]) ).
thf(f5453,plain,
( ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( ( ( lam @ ( Y0 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
=> ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y1 @ Y2 )
= ( sK428 @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ( hoaslaminj = $true ) ),
inference(imp_proxy_clausification,[],[f5452]) ).
thf(f5454,plain,
( ( hoaslaminj = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sK428 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y0 @ Y1 ) )
= ( sub @ ( sK428 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f5452]) ).
thf(f5455,plain,
! [X1: term] :
( ( hoaslaminj = $true )
| ( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sK428 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y0 @ Y1 ) )
= ( sub @ ( sK428 @ Y2 @ Y0 ) @ Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f5454]) ).
thf(f5456,plain,
! [X1: term] :
( ( hoaslaminj = $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sK428 @ ( comp @ Y1 @ Y0 ) @ ( sub @ X1 @ Y0 ) )
= ( sub @ ( sK428 @ Y1 @ X1 ) @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f5455]) ).
thf(f5457,plain,
! [X2: subst,X1: term] :
( ( ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sK428 @ ( comp @ Y1 @ Y0 ) @ ( sub @ X1 @ Y0 ) )
= ( sub @ ( sK428 @ Y1 @ X1 ) @ Y0 ) ) )
@ X2 )
= $true )
| ( hoaslaminj = $true ) ),
inference(pi_proxy_clausification,[],[f5456]) ).
thf(f5458,plain,
! [X2: subst,X1: term] :
( ( hoaslaminj = $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( ( sK428 @ ( comp @ Y0 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ Y0 @ X1 ) @ X2 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f5457]) ).
thf(f5459,plain,
! [X2: subst,X3: subst,X1: term] :
( ( ( ^ [Y0: subst] :
( ( sK428 @ ( comp @ Y0 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ Y0 @ X1 ) @ X2 ) )
@ X3 )
= $true )
| ( hoaslaminj = $true ) ),
inference(pi_proxy_clausification,[],[f5458]) ).
thf(f5460,plain,
! [X2: subst,X3: subst,X1: term] :
( ( hoaslaminj = $true )
| ( ( ( sK428 @ ( comp @ X3 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ X3 @ X1 ) @ X2 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f5459]) ).
thf(f5461,plain,
! [X2: subst,X3: subst,X1: term] :
( ( hoaslaminj = $true )
| ( ( sK428 @ ( comp @ X3 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ X3 @ X1 ) @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f5460]) ).
thf(f5462,plain,
( ( hoaslaminj = $true )
| ( ( ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( ( ( lam @ ( Y0 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
=> ( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y1 @ Y2 )
= ( sK428 @ Y1 @ Y2 ) ) ) ) ) )
@ sK429 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f5453]) ).
thf(f5463,plain,
( ( hoaslaminj = $true )
| ( $false
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sK429 @ ( comp @ Y1 @ Y0 ) @ ( sub @ Y2 @ Y0 ) )
= ( sub @ ( sK429 @ Y1 @ Y2 ) @ Y0 ) ) ) ) )
=> ( ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ Y0 @ Y1 )
= ( sK428 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f5462]) ).
thf(f5464,plain,
( ( hoaslaminj = $true )
| ( $false
= ( ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ Y0 @ Y1 )
= ( sK428 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f5463]) ).
thf(f5465,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sK429 @ ( comp @ Y1 @ Y0 ) @ ( sub @ Y2 @ Y0 ) )
= ( sub @ ( sK429 @ Y1 @ Y2 ) @ Y0 ) ) ) ) )
= $true )
| ( hoaslaminj = $true ) ),
inference(imp_proxy_clausification,[],[f5463]) ).
thf(f5466,plain,
! [X1: subst] :
( ( hoaslaminj = $true )
| ( ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sK429 @ ( comp @ Y1 @ Y0 ) @ ( sub @ Y2 @ Y0 ) )
= ( sub @ ( sK429 @ Y1 @ Y2 ) @ Y0 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f5465]) ).
thf(f5467,plain,
! [X1: subst] :
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ ( comp @ Y0 @ X1 ) @ ( sub @ Y1 @ X1 ) )
= ( sub @ ( sK429 @ Y0 @ Y1 ) @ X1 ) ) ) )
= $true )
| ( hoaslaminj = $true ) ),
inference(beta-eta_normalization,[],[f5466]) ).
thf(f5468,plain,
! [X2: subst,X1: subst] :
( ( hoaslaminj = $true )
| ( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ ( comp @ Y0 @ X1 ) @ ( sub @ Y1 @ X1 ) )
= ( sub @ ( sK429 @ Y0 @ Y1 ) @ X1 ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f5467]) ).
thf(f5469,plain,
! [X2: subst,X1: subst] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ Y0 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ Y0 ) @ X1 ) ) ) )
| ( hoaslaminj = $true ) ),
inference(beta-eta_normalization,[],[f5468]) ).
thf(f5470,plain,
! [X2: subst,X3: term,X1: subst] :
( ( ( ^ [Y0: term] :
( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ Y0 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ Y0 ) @ X1 ) )
@ X3 )
= $true )
| ( hoaslaminj = $true ) ),
inference(pi_proxy_clausification,[],[f5469]) ).
thf(f5471,plain,
! [X2: subst,X3: term,X1: subst] :
( ( ( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ X3 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ X3 ) @ X1 ) )
= $true )
| ( hoaslaminj = $true ) ),
inference(beta-eta_normalization,[],[f5470]) ).
thf(f5472,plain,
! [X2: subst,X3: term,X1: subst] :
( ( hoaslaminj = $true )
| ( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ X3 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ X3 ) @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f5471]) ).
thf(f5473,plain,
( ( $false
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ Y0 @ Y1 )
= ( sK428 @ Y0 @ Y1 ) ) ) ) )
| ( hoaslaminj = $true ) ),
inference(imp_proxy_clausification,[],[f5464]) ).
thf(f5474,plain,
( ( hoaslaminj = $true )
| ( $true
= ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) ) ) ),
inference(imp_proxy_clausification,[],[f5464]) ).
thf(f5475,plain,
( ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
| ( hoaslaminj = $true ) ),
inference(equality_proxy_clausification,[],[f5474]) ).
thf(f5476,plain,
( ( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sK429 @ Y0 @ Y1 )
= ( sK428 @ Y0 @ Y1 ) ) )
@ sK430 )
= $false )
| ( hoaslaminj = $true ) ),
inference(sigma_proxy_clausification,[],[f5473]) ).
thf(f5477,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK429 @ sK430 @ Y0 )
= ( sK428 @ sK430 @ Y0 ) ) )
= $false )
| ( hoaslaminj = $true ) ),
inference(beta-eta_normalization,[],[f5476]) ).
thf(f5478,plain,
( ( hoaslaminj = $true )
| ( $false
= ( ^ [Y0: term] :
( ( sK429 @ sK430 @ Y0 )
= ( sK428 @ sK430 @ Y0 ) )
@ sK431 ) ) ),
inference(sigma_proxy_clausification,[],[f5477]) ).
thf(f5479,plain,
( ( hoaslaminj = $true )
| ( ( ( sK429 @ sK430 @ sK431 )
= ( sK428 @ sK430 @ sK431 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f5478]) ).
thf(f5480,plain,
( ( hoaslaminj = $true )
| ( ( sK429 @ sK430 @ sK431 )
!= ( sK428 @ sK430 @ sK431 ) ) ),
inference(equality_proxy_clausification,[],[f5479]) ).
thf(f5847,definition,
( spl432_23
<=> ! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ),
introduced(definition,[new_symbols(definition,[spl432_23])],[avatar_definition]) ).
thf(f5848,plain,
( ! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 )
| ~ spl432_23 ),
inference(avatar_component_clause,[],[f5847]) ).
thf(f5850,definition,
( spl432_24
<=> ( axvarcons = $false ) ),
introduced(definition,[new_symbols(definition,[spl432_24])],[avatar_definition]) ).
thf(f5852,plain,
( ( axvarcons = $false )
| ~ spl432_24 ),
inference(avatar_component_clause,[],[f5850]) ).
thf(f5853,plain,
( spl432_23
| spl432_24 ),
inference(avatar_split_clause,[],[f558,f5850,f5847]) ).
thf(f5855,definition,
( spl432_25
<=> ( axvarcons = $true ) ),
introduced(definition,[new_symbols(definition,[spl432_25])],[avatar_definition]) ).
thf(f5857,plain,
( ( axvarcons = $true )
| ~ spl432_25 ),
inference(avatar_component_clause,[],[f5855]) ).
thf(f5888,definition,
( spl432_33
<=> ( axshiftcons = $false ) ),
introduced(definition,[new_symbols(definition,[spl432_33])],[avatar_definition]) ).
thf(f5890,plain,
( ( axshiftcons = $false )
| ~ spl432_33 ),
inference(avatar_component_clause,[],[f5888]) ).
thf(f5932,definition,
( spl432_44
<=> ( laminj = $false ) ),
introduced(definition,[new_symbols(definition,[spl432_44])],[avatar_definition]) ).
thf(f5934,plain,
( ( laminj = $false )
| ~ spl432_44 ),
inference(avatar_component_clause,[],[f5932]) ).
thf(f5976,definition,
( spl432_55
<=> ( hoaslaminj = $false ) ),
introduced(definition,[new_symbols(definition,[spl432_55])],[avatar_definition]) ).
thf(f5978,plain,
( ( hoaslaminj = $false )
| ~ spl432_55 ),
inference(avatar_component_clause,[],[f5976]) ).
thf(f6015,definition,
( spl432_63
<=> ( axshiftcons = $true ) ),
introduced(definition,[new_symbols(definition,[spl432_63])],[avatar_definition]) ).
thf(f6017,plain,
( ( axshiftcons = $true )
| ~ spl432_63 ),
inference(avatar_component_clause,[],[f6015]) ).
thf(f6066,definition,
( spl432_73
<=> ( laminj = $true ) ),
introduced(definition,[new_symbols(definition,[spl432_73])],[avatar_definition]) ).
thf(f6068,plain,
( ( laminj = $true )
| ~ spl432_73 ),
inference(avatar_component_clause,[],[f6066]) ).
thf(f6123,definition,
( spl432_84
<=> ( hoaslaminj = $true ) ),
introduced(definition,[new_symbols(definition,[spl432_84])],[avatar_definition]) ).
thf(f6125,plain,
( ( hoaslaminj = $true )
| ~ spl432_84 ),
inference(avatar_component_clause,[],[f6123]) ).
thf(f7413,plain,
axvarcons = $true,
inference(global_subsumption,[],[f421,f2260]) ).
thf(f7415,plain,
axshiftcons = $true,
inference(global_subsumption,[],[f421,f2262]) ).
thf(f7577,plain,
laminj = $true,
inference(global_subsumption,[],[f421,f2264]) ).
thf(f7599,definition,
( spl432_383
<=> ! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl432_383])],[avatar_definition]) ).
thf(f7600,plain,
( ! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 )
| ~ spl432_383 ),
inference(avatar_component_clause,[],[f7599]) ).
thf(f7601,plain,
( spl432_33
| spl432_383 ),
inference(avatar_split_clause,[],[f2514,f7599,f5888]) ).
thf(f7865,plain,
hoaslaminj = $false,
inference(global_subsumption,[],[f421,f2263]) ).
thf(f9255,definition,
( spl432_654
<=> ! [X2: term,X1: term] :
( ( ( lam @ X1 )
!= ( lam @ X2 ) )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl432_654])],[avatar_definition]) ).
thf(f9256,plain,
( ! [X2: term,X1: term] :
( ( ( lam @ X1 )
!= ( lam @ X2 ) )
| ( X1 = X2 ) )
| ~ spl432_654 ),
inference(avatar_component_clause,[],[f9255]) ).
thf(f9257,plain,
( spl432_654
| spl432_44 ),
inference(avatar_split_clause,[],[f5255,f5932,f9255]) ).
thf(f9364,definition,
( spl432_669
<=> ! [X2: subst,X1: term,X3: subst] :
( ( sK428 @ ( comp @ X3 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ X3 @ X1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl432_669])],[avatar_definition]) ).
thf(f9365,plain,
( ! [X2: subst,X3: subst,X1: term] :
( ( sK428 @ ( comp @ X3 @ X2 ) @ ( sub @ X1 @ X2 ) )
= ( sub @ ( sK428 @ X3 @ X1 ) @ X2 ) )
| ~ spl432_669 ),
inference(avatar_component_clause,[],[f9364]) ).
thf(f9366,plain,
( spl432_669
| spl432_84 ),
inference(avatar_split_clause,[],[f5461,f6123,f9364]) ).
thf(f9368,definition,
( spl432_670
<=> ! [X2: subst,X1: subst,X3: term] :
( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ X3 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ X3 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl432_670])],[avatar_definition]) ).
thf(f9369,plain,
( ! [X2: subst,X3: term,X1: subst] :
( ( sK429 @ ( comp @ X2 @ X1 ) @ ( sub @ X3 @ X1 ) )
= ( sub @ ( sK429 @ X2 @ X3 ) @ X1 ) )
| ~ spl432_670 ),
inference(avatar_component_clause,[],[f9368]) ).
thf(f9370,plain,
( spl432_670
| spl432_84 ),
inference(avatar_split_clause,[],[f5472,f6123,f9368]) ).
thf(f9372,definition,
( spl432_671
<=> ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) ) ),
introduced(definition,[new_symbols(definition,[spl432_671])],[avatar_definition]) ).
thf(f9374,plain,
( ( ( lam @ ( sK429 @ sh @ one ) )
= ( lam @ ( sK428 @ sh @ one ) ) )
| ~ spl432_671 ),
inference(avatar_component_clause,[],[f9372]) ).
thf(f9375,plain,
( spl432_84
| spl432_671 ),
inference(avatar_split_clause,[],[f5475,f9372,f6123]) ).
thf(f9377,definition,
( spl432_672
<=> ( ( sK429 @ sK430 @ sK431 )
= ( sK428 @ sK430 @ sK431 ) ) ),
introduced(definition,[new_symbols(definition,[spl432_672])],[avatar_definition]) ).
thf(f9379,plain,
( ( ( sK429 @ sK430 @ sK431 )
!= ( sK428 @ sK430 @ sK431 ) )
| spl432_672 ),
inference(avatar_component_clause,[],[f9377]) ).
thf(f9380,plain,
( ~ spl432_672
| spl432_84 ),
inference(avatar_split_clause,[],[f5480,f6123,f9377]) ).
thf(f9504,plain,
spl432_25,
inference(avatar_split_clause,[],[f7413,f5855]) ).
thf(f9505,plain,
spl432_63,
inference(avatar_split_clause,[],[f7415,f6015]) ).
thf(f9506,plain,
spl432_73,
inference(avatar_split_clause,[],[f7577,f6066]) ).
thf(f9507,plain,
spl432_55,
inference(avatar_split_clause,[],[f7865,f5976]) ).
thf(f9520,plain,
( ( $false = $true )
| ~ spl432_44
| ~ spl432_73 ),
inference(forward_demodulation,[],[f6068,f5934]) ).
thf(f9521,plain,
( $false
| ~ spl432_44
| ~ spl432_73 ),
inference(trivial_inequality_removal,[],[f9520]) ).
thf(f9522,plain,
( ~ spl432_44
| ~ spl432_73 ),
inference(avatar_contradiction_clause,[],[f9521]) ).
thf(f9562,plain,
( ( $false = $true )
| ~ spl432_33
| ~ spl432_63 ),
inference(forward_demodulation,[],[f6017,f5890]) ).
thf(f9563,plain,
( $false
| ~ spl432_33
| ~ spl432_63 ),
inference(trivial_inequality_removal,[],[f9562]) ).
thf(f9564,plain,
( ~ spl432_33
| ~ spl432_63 ),
inference(avatar_contradiction_clause,[],[f9563]) ).
thf(f9574,plain,
( ( $false = $true )
| ~ spl432_55
| ~ spl432_84 ),
inference(forward_demodulation,[],[f6125,f5978]) ).
thf(f9575,plain,
( $false
| ~ spl432_55
| ~ spl432_84 ),
inference(trivial_inequality_removal,[],[f9574]) ).
thf(f9576,plain,
( ~ spl432_55
| ~ spl432_84 ),
inference(avatar_contradiction_clause,[],[f9575]) ).
thf(f9624,plain,
( ( $false = $true )
| ~ spl432_24
| ~ spl432_25 ),
inference(constrained_superposition,[],[f5857,f5852]) ).
thf(f9628,plain,
( $false
| ~ spl432_24
| ~ spl432_25 ),
inference(trivial_inequality_removal,[],[f9624]) ).
thf(f9629,plain,
( ~ spl432_24
| ~ spl432_25 ),
inference(avatar_contradiction_clause,[],[f9628]) ).
thf(f9665,plain,
( ! [X2: term,X0: subst,X1: term] :
( ( sub @ ( sK428 @ sh @ X2 ) @ ( push @ X1 @ X0 ) )
= ( sK428 @ X0 @ ( sub @ X2 @ ( push @ X1 @ X0 ) ) ) )
| ~ spl432_383
| ~ spl432_669 ),
inference(constrained_superposition,[],[f9365,f7600]) ).
thf(f9899,plain,
( ! [X2: term,X0: subst,X1: term] :
( ( sub @ ( sK429 @ sh @ X2 ) @ ( push @ X1 @ X0 ) )
= ( sK429 @ X0 @ ( sub @ X2 @ ( push @ X1 @ X0 ) ) ) )
| ~ spl432_383
| ~ spl432_670 ),
inference(constrained_superposition,[],[f9369,f7600]) ).
thf(f9956,plain,
( ! [X0: term,X1: subst] :
( ( sub @ ( sK428 @ sh @ one ) @ ( push @ X0 @ X1 ) )
= ( sK428 @ X1 @ X0 ) )
| ~ spl432_23
| ~ spl432_383
| ~ spl432_669 ),
inference(constrained_superposition,[],[f9665,f5848]) ).
thf(f10318,plain,
( ! [X0: term] :
( ( ( lam @ X0 )
!= ( lam @ ( sK428 @ sh @ one ) ) )
| ( ( sK429 @ sh @ one )
= X0 ) )
| ~ spl432_654
| ~ spl432_671 ),
inference(constrained_superposition,[],[f9256,f9374]) ).
thf(f13573,definition,
( spl432_701
<=> ( ( sK428 @ sh @ one )
= ( sK429 @ sh @ one ) ) ),
introduced(definition,[new_symbols(definition,[spl432_701])],[avatar_definition]) ).
thf(f13575,plain,
( ( ( sK428 @ sh @ one )
= ( sK429 @ sh @ one ) )
| ~ spl432_701 ),
inference(avatar_component_clause,[],[f13573]) ).
thf(f17571,plain,
( ( ( sK428 @ sh @ one )
= ( sK429 @ sh @ one ) )
| ~ spl432_654
| ~ spl432_671 ),
inference(equality_resolution,[],[f10318]) ).
thf(f17572,plain,
( spl432_701
| ~ spl432_654
| ~ spl432_671 ),
inference(avatar_split_clause,[],[f17571,f9372,f9255,f13573]) ).
thf(f17632,plain,
( ! [X0: term,X1: subst] :
( ( sub @ ( sK428 @ sh @ one ) @ ( push @ X0 @ X1 ) )
= ( sK429 @ X1 @ ( sub @ one @ ( push @ X0 @ X1 ) ) ) )
| ~ spl432_383
| ~ spl432_670
| ~ spl432_701 ),
inference(constrained_superposition,[],[f9899,f13575]) ).
thf(f17636,plain,
( ! [X0: term,X1: subst] :
( ( sub @ ( sK428 @ sh @ one ) @ ( push @ X0 @ X1 ) )
= ( sK429 @ X1 @ X0 ) )
| ~ spl432_23
| ~ spl432_383
| ~ spl432_670
| ~ spl432_701 ),
inference(forward_demodulation,[],[f17632,f5848]) ).
thf(f17638,plain,
( ! [X0: term,X1: subst] :
( ( sK428 @ X1 @ X0 )
= ( sK429 @ X1 @ X0 ) )
| ~ spl432_23
| ~ spl432_383
| ~ spl432_669
| ~ spl432_670
| ~ spl432_701 ),
inference(forward_demodulation,[],[f17636,f9956]) ).
thf(f17698,plain,
( ( ( sK428 @ sK430 @ sK431 )
!= ( sK428 @ sK430 @ sK431 ) )
| ~ spl432_23
| ~ spl432_383
| ~ spl432_669
| ~ spl432_670
| spl432_672
| ~ spl432_701 ),
inference(constrained_superposition,[],[f9379,f17638]) ).
thf(f17699,plain,
( $false
| ~ spl432_23
| ~ spl432_383
| ~ spl432_669
| ~ spl432_670
| spl432_672
| ~ spl432_701 ),
inference(trivial_inequality_removal,[],[f17698]) ).
thf(f17700,plain,
( ~ spl432_23
| ~ spl432_383
| ~ spl432_669
| ~ spl432_670
| spl432_672
| ~ spl432_701 ),
inference(avatar_contradiction_clause,[],[f17699]) ).
cnf(s35,plain,
( spl432_23
| spl432_24 ),
inference(sat_conversion,[],[f5853]) ).
cnf(s1078,plain,
( spl432_33
| spl432_383 ),
inference(sat_conversion,[],[f7601]) ).
cnf(s2531,plain,
( spl432_44
| spl432_654 ),
inference(sat_conversion,[],[f9257]) ).
cnf(s2629,plain,
( spl432_84
| spl432_669 ),
inference(sat_conversion,[],[f9366]) ).
cnf(s2631,plain,
( spl432_84
| spl432_670 ),
inference(sat_conversion,[],[f9370]) ).
cnf(s2633,plain,
( spl432_84
| spl432_671 ),
inference(sat_conversion,[],[f9375]) ).
cnf(s2635,plain,
( spl432_84
| ~ spl432_672 ),
inference(sat_conversion,[],[f9380]) ).
cnf(s2817,plain,
spl432_25,
inference(sat_conversion,[],[f9504]) ).
cnf(s2819,plain,
spl432_63,
inference(sat_conversion,[],[f9505]) ).
cnf(s2829,plain,
spl432_73,
inference(sat_conversion,[],[f9506]) ).
cnf(s2839,plain,
spl432_55,
inference(sat_conversion,[],[f9507]) ).
cnf(s3020,plain,
( ~ spl432_44
| ~ spl432_73 ),
inference(sat_conversion,[],[f9522]) ).
cnf(s3067,plain,
( ~ spl432_33
| ~ spl432_63 ),
inference(sat_conversion,[],[f9564]) ).
cnf(s3073,plain,
( ~ spl432_55
| ~ spl432_84 ),
inference(sat_conversion,[],[f9576]) ).
cnf(s3239,plain,
( ~ spl432_24
| ~ spl432_25 ),
inference(sat_conversion,[],[f9629]) ).
cnf(s6069,plain,
( ~ spl432_654
| ~ spl432_671
| spl432_701 ),
inference(sat_conversion,[],[f17572]) ).
cnf(s6106,plain,
( ~ spl432_23
| ~ spl432_383
| ~ spl432_669
| ~ spl432_670
| spl432_672
| ~ spl432_701 ),
inference(sat_conversion,[],[f17700]) ).
cnf(s6108,plain,
~ spl432_84,
inference(rat,[],[s3073,s2839]) ).
cnf(s6109,plain,
~ spl432_44,
inference(rat,[],[s3020,s2829]) ).
cnf(s6110,plain,
~ spl432_33,
inference(rat,[],[s3067,s2819]) ).
cnf(s6111,plain,
~ spl432_24,
inference(rat,[],[s3239,s2817]) ).
cnf(s6115,plain,
~ spl432_672,
inference(rat,[],[s2635,s6108]) ).
cnf(s6116,plain,
spl432_671,
inference(rat,[],[s2633,s6108]) ).
cnf(s6117,plain,
spl432_670,
inference(rat,[],[s2631,s6108]) ).
cnf(s6118,plain,
spl432_669,
inference(rat,[],[s2629,s6108]) ).
cnf(s6121,plain,
spl432_654,
inference(rat,[],[s2531,s6109]) ).
cnf(s6122,plain,
spl432_701,
inference(rat,[],[s6069,s6116,s6121]) ).
cnf(s6139,plain,
spl432_383,
inference(rat,[],[s1078,s6110]) ).
cnf(s6140,plain,
~ spl432_23,
inference(rat,[],[s6106,s6122,s6115,s6117,s6118,s6139]) ).
cnf(s6153,plain,
$false,
inference(rat,[],[s35,s6111,s6140]) ).
thf(f17712,plain,
$false,
inference(avatar_sat_refutation,[],[s6153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG258^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:34:15 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/1.00 % (3182143)Will run a generic schedule for satisfiability detection.
% 4.04/1.00 % (3182158)dis+10_1_sil=32000:sp=arity:random_seed=3312888327:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.04/1.00 % (3182156)% WARNING: option uhcvi not known.
% 4.04/1.00 % (3182155)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1875353422_2999 on theBenchmark for (2999ds/0Mi)
% 4.04/1.00 % (3182156)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2400073442:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.04/1.00 % (3182159)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1458976497:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.04/1.00 % (3182157)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2056588166:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.04/1.00 % (3182161)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3905762597:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/1.00 % (3182162)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1059451104:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.04/1.00 % (3182158)Instruction limit reached!
% 4.04/1.00 % (3182158)------------------------------
% 4.04/1.00 % (3182158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.00 % (3182158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.00 % (3182158)CaDiCaL version: 2.1.3
% 4.04/1.00 % (3182158)Termination reason: Instruction limit
% 4.04/1.00 % (3182158)Termination phase: Saturation
% 4.04/1.00 % (3182158)Time elapsed: 0.023 s
% 4.04/1.00 % (3182158)Peak memory usage: 12 MB
% 4.04/1.00 % (3182158)Instructions burned: 106 (million)
% 4.04/1.00 % (3182156)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/1.00 % (3182159)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/1.00 % (3182178)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4004151127:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.04/1.00 % Exception at run slice level
% 4.04/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/1.00 % (3182156)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.04/1.00 % Exception at run slice level
% 4.04/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/1.00 % (3182159)Instruction limit reached!
% 4.04/1.00 % (3182159)------------------------------
% 4.04/1.00 % (3182159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.00 % (3182159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.00 % (3182159)CaDiCaL version: 2.1.3
% 4.04/1.00 % (3182159)Termination reason: Instruction limit
% 4.04/1.00 % (3182159)Termination phase: Saturation
% 4.04/1.00 % (3182159)Time elapsed: 0.047 s
% 4.04/1.00 % (3182159)Peak memory usage: 12 MB
% 4.04/1.00 % (3182159)Instructions burned: 116 (million)
% 4.04/1.00 % (3182186)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=89475617:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/1.00 % (3182161)Instruction limit reached!
% 4.04/1.00 % (3182161)------------------------------
% 4.04/1.00 % (3182161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.00 % (3182161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.00 % (3182161)CaDiCaL version: 2.1.3
% 4.04/1.00 % (3182161)Termination reason: Instruction limit
% 4.04/1.00 % (3182161)Termination phase: Saturation
% 4.04/1.00 % (3182161)Time elapsed: 0.054 s
% 4.04/1.00 % (3182161)Peak memory usage: 12 MB
% 4.04/1.00 % (3182161)Instructions burned: 131 (million)
% 4.04/1.00 % (3182188)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1160138775:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.04/1.00 % (3182188)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/1.00 % (3182190)ott-21_1_sil=16000:fs=off:random_seed=3551645047:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.04/1.00 % (3182162)Instruction limit reached!
% 4.04/1.00 % (3182162)------------------------------
% 4.04/1.00 % (3182162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.17/2.70 % (3182162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/2.70 % (3182162)CaDiCaL version: 2.1.3
% 17.17/2.70 % (3182162)Termination reason: Instruction limit
% 17.17/2.70 % (3182162)Termination phase: Saturation
% 17.17/2.70 % (3182162)Time elapsed: 0.068 s
% 17.17/2.70 % (3182162)Peak memory usage: 13 MB
% 17.17/2.70 % (3182162)Instructions burned: 164 (million)
% 17.17/2.70 % (3182193)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3654711515:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 17.17/2.70 % (3182188)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.17/2.70 % (3182199)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3629464281:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 17.17/2.70 % (3182186)Instruction limit reached!
% 17.17/2.70 % (3182186)------------------------------
% 17.17/2.70 % (3182186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.17/2.70 % (3182186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/2.70 % (3182186)CaDiCaL version: 2.1.3
% 17.17/2.70 % (3182186)Termination reason: Instruction limit
% 17.17/2.70 % (3182186)Termination phase: Saturation
% 17.17/2.70 % (3182186)Time elapsed: 0.054 s
% 17.17/2.70 % (3182186)Peak memory usage: 13 MB
% 17.17/2.70 % (3182186)Instructions burned: 131 (million)
% 17.17/2.70 % Exception at run slice level
% 17.17/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.17/2.70 % (3182214)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2564868550:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.17/2.70 % (3182218)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=238272502:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.17/2.70 % (3182190)Instruction limit reached!
% 17.17/2.70 % (3182190)------------------------------
% 17.17/2.70 % (3182190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.17/2.70 % (3182190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/2.70 % (3182190)CaDiCaL version: 2.1.3
% 17.17/2.70 % (3182190)Termination reason: Instruction limit
% 17.17/2.70 % (3182190)Termination phase: Saturation
% 17.17/2.70 % (3182190)Time elapsed: 0.076 s
% 17.17/2.70 % (3182190)Peak memory usage: 13 MB
% 17.17/2.70 % (3182190)Instructions burned: 181 (million)
% 17.17/2.70 % (3182224)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2604280258:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.17/2.70 % Exception at run slice level
% 17.17/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.17/2.70 % (3182224)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.17/2.70 % (3182234)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1635596134:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.17/2.70 % (3182234)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.17/2.70 % (3182188)Instruction limit reached!
% 17.17/2.70 % (3182188)------------------------------
% 17.17/2.70 % (3182188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.17/2.70 % (3182188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.17/2.70 % (3182188)CaDiCaL version: 2.1.3
% 17.17/2.70 % (3182188)Termination reason: Instruction limit
% 17.17/2.70 % (3182188)Termination phase: Saturation
% 17.17/2.70 % (3182188)Time elapsed: 0.164 s
% 17.17/2.70 % (3182188)Peak memory usage: 20 MB
% 17.17/2.70 % (3182188)Instructions burned: 685 (million)
% 17.17/2.70 % (3182236)fmb+10_1_sil=64000:random_seed=829718411:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.17/2.70 % (3182236)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.17/2.70 % Exception at run slice level
% 17.17/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.17/2.70 % (3182238)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2039418940:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.17/2.70 % Exception at run slice level
% 17.17/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 44.47/6.60 % (3182240)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4140657711:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 44.47/6.60 % Exception at run slice level
% 44.47/6.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 44.47/6.60 % (3182193)Instruction limit reached!
% 44.47/6.60 % (3182193)------------------------------
% 44.47/6.60 % (3182193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.60 % (3182193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.60 % (3182193)CaDiCaL version: 2.1.3
% 44.47/6.60 % (3182193)Termination reason: Instruction limit
% 44.47/6.60 % (3182193)Termination phase: Saturation
% 44.47/6.60 % (3182193)Time elapsed: 0.233 s
% 44.47/6.60 % (3182193)Peak memory usage: 16 MB
% 44.47/6.60 % (3182193)Instructions burned: 478 (million)
% 44.47/6.60 % (3182248)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3193251716:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 44.47/6.60 % (3182250)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3508299741:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 44.47/6.60 % (3182248)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 44.47/6.60 % (3182250)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 44.47/6.60 % (3182250)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 44.47/6.60 % (3182224)Instruction limit reached!
% 44.47/6.60 % (3182224)------------------------------
% 44.47/6.60 % (3182224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.60 % (3182224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.60 % (3182224)CaDiCaL version: 2.1.3
% 44.47/6.60 % (3182224)Termination reason: Instruction limit
% 44.47/6.60 % (3182224)Termination phase: Saturation
% 44.47/6.60 % (3182224)Time elapsed: 0.312 s
% 44.47/6.60 % (3182224)Peak memory usage: 20 MB
% 44.47/6.60 % (3182224)Instructions burned: 694 (million)
% 44.47/6.60 % (3182293)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3535890859:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 44.47/6.60 % Exception at run slice level
% 44.47/6.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 44.47/6.60 % (3182295)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1433349734:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 44.47/6.60 % Exception at run slice level
% 44.47/6.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 44.47/6.60 % (3182234)Instruction limit reached!
% 44.47/6.60 % (3182234)------------------------------
% 44.47/6.60 % (3182234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.60 % (3182234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.60 % (3182234)CaDiCaL version: 2.1.3
% 44.47/6.60 % (3182234)Termination reason: Instruction limit
% 44.47/6.60 % (3182234)Termination phase: Saturation
% 44.47/6.60 % (3182234)Time elapsed: 0.401 s
% 44.47/6.60 % (3182234)Peak memory usage: 20 MB
% 44.47/6.60 % (3182234)Instructions burned: 880 (million)
% 44.47/6.60 % (3182297)ott-2_1_sil=16000:newcnf=on:random_seed=1957094207:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 44.47/6.60 % (3182298)ott+10_1_sil=32000:tgt=ground:random_seed=1634663386:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 44.47/6.60 % (3182297)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 44.47/6.60 % (3182214)Instruction limit reached!
% 44.47/6.60 % (3182214)------------------------------
% 44.47/6.60 % (3182214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.60 % (3182214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.60 % (3182214)CaDiCaL version: 2.1.3
% 44.47/6.60 % (3182214)Termination reason: Instruction limit
% 44.47/6.60 % (3182214)Termination phase: Saturation
% 44.47/6.60 % (3182214)Time elapsed: 0.552 s
% 44.47/6.60 % (3182214)Peak memory usage: 23 MB
% 44.47/6.60 % (3182214)Instructions burned: 1179 (million)
% 44.47/6.60 % (3182301)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1887898406:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 44.47/6.60 % Exception at run slice level
% 101.96/14.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.96/14.68 % (3182303)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2275288359:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 101.96/14.68 % (3182303)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.96/14.68 % (3182297)Instruction limit reached!
% 101.96/14.68 % (3182297)------------------------------
% 101.96/14.68 % (3182297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.96/14.68 % (3182297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.96/14.68 % (3182297)CaDiCaL version: 2.1.3
% 101.96/14.68 % (3182297)Termination reason: Instruction limit
% 101.96/14.68 % (3182297)Termination phase: Saturation
% 101.96/14.68 % (3182297)Time elapsed: 0.386 s
% 101.96/14.68 % (3182297)Peak memory usage: 21 MB
% 101.96/14.68 % (3182297)Instructions burned: 871 (million)
% 101.96/14.68 % (3182250)Instruction limit reached!
% 101.96/14.68 % (3182250)------------------------------
% 101.96/14.68 % (3182250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.96/14.68 % (3182250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.96/14.68 % (3182250)CaDiCaL version: 2.1.3
% 101.96/14.68 % (3182250)Termination reason: Instruction limit
% 101.96/14.68 % (3182250)Termination phase: Saturation
% 101.96/14.68 % (3182250)Time elapsed: 0.679 s
% 101.96/14.68 % (3182250)Peak memory usage: 23 MB
% 101.96/14.68 % (3182250)Instructions burned: 1473 (million)
% 101.96/14.68 % (3182305)dis+21_1_sil=32000:sas=cadical:random_seed=3288253602:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 101.96/14.68 % (3182306)ott+11_1_sil=16000:gs=on:random_seed=4081819657:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 101.96/14.68 % (3182306)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.96/14.68 % (3182248)Instruction limit reached!
% 101.96/14.68 % (3182248)------------------------------
% 101.96/14.68 % (3182248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.96/14.68 % (3182248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.96/14.68 % (3182248)CaDiCaL version: 2.1.3
% 101.96/14.68 % (3182248)Termination reason: Instruction limit
% 101.96/14.68 % (3182248)Termination phase: Saturation
% 101.96/14.68 % (3182248)Time elapsed: 1.163 s
% 101.96/14.68 % (3182248)Peak memory usage: 33 MB
% 101.96/14.68 % (3182248)Instructions burned: 5132 (million)
% 101.96/14.68 % (3182309)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2089514386:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 101.96/14.68 % Exception at run slice level
% 101.96/14.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.96/14.68 % (3182311)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3743353621:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 101.96/14.68 % (3182306)Instruction limit reached!
% 101.96/14.68 % (3182306)------------------------------
% 101.96/14.68 % (3182306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.96/14.68 % (3182306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.96/14.68 % (3182306)CaDiCaL version: 2.1.3
% 101.96/14.68 % (3182306)Termination reason: Instruction limit
% 101.96/14.68 % (3182306)Termination phase: Saturation
% 101.96/14.68 % (3182306)Time elapsed: 1.032 s
% 101.96/14.68 % (3182306)Peak memory usage: 28 MB
% 101.96/14.68 % (3182306)Instructions burned: 2251 (million)
% 101.96/14.68 % (3182369)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=623646923:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 101.96/14.68 % (3182303)Instruction limit reached!
% 101.96/14.68 % (3182303)------------------------------
% 101.96/14.68 % (3182303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.96/14.68 % (3182303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.96/14.68 % (3182303)CaDiCaL version: 2.1.3
% 101.96/14.68 % (3182303)Termination reason: Instruction limit
% 101.96/14.68 % (3182303)Termination phase: Saturation
% 101.96/14.68 % (3182303)Time elapsed: 1.658 s
% 101.96/14.68 % (3182303)Peak memory usage: 32 MB
% 101.96/14.68 % (3182303)Instructions burned: 3513 (million)
% 101.96/14.68 % (3182493)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1276170406:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 139.46/19.91 % (3182305)Instruction limit reached!
% 139.46/19.91 % (3182305)------------------------------
% 139.46/19.91 % (3182305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.46/19.91 % (3182305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.46/19.91 % (3182305)CaDiCaL version: 2.1.3
% 139.46/19.91 % (3182305)Termination reason: Instruction limit
% 139.46/19.91 % (3182305)Termination phase: Saturation
% 139.46/19.91 % (3182305)Time elapsed: 1.683 s
% 139.46/19.91 % (3182305)Peak memory usage: 35 MB
% 139.46/19.91 % (3182305)Instructions burned: 3775 (million)
% 139.46/19.91 % (3182311)Instruction limit reached!
% 139.46/19.91 % (3182311)------------------------------
% 139.46/19.91 % (3182311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.46/19.91 % (3182311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.46/19.91 % (3182311)CaDiCaL version: 2.1.3
% 139.46/19.91 % (3182311)Termination reason: Instruction limit
% 139.46/19.91 % (3182311)Termination phase: Saturation
% 139.46/19.91 % (3182311)Time elapsed: 1.179 s
% 139.46/19.91 % (3182311)Peak memory usage: 33 MB
% 139.46/19.91 % (3182311)Instructions burned: 4594 (million)
% 139.46/19.91 % (3182571)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2195170143:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 139.46/19.91 % (3182574)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3963236200:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 139.46/19.91 % Exception at run slice level
% 139.46/19.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 139.46/19.91 % (3182581)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2263837545:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 139.46/19.91 % Exception at run slice level
% 139.46/19.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 139.46/19.91 % (3182588)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2302588832:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 139.46/19.91 % Exception at run slice level
% 139.46/19.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 139.46/19.91 % (3182598)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3146353422:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 139.46/19.91 % (3182298)Instruction limit reached!
% 139.46/19.91 % (3182298)------------------------------
% 139.46/19.91 % (3182298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.46/19.91 % (3182298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.46/19.91 % (3182298)CaDiCaL version: 2.1.3
% 139.46/19.91 % (3182298)Termination reason: Instruction limit
% 139.46/19.91 % (3182298)Termination phase: Saturation
% 139.46/19.91 % (3182298)Time elapsed: 2.259 s
% 139.46/19.91 % (3182298)Peak memory usage: 33 MB
% 139.46/19.91 % (3182298)Instructions burned: 5114 (million)
% 139.46/19.91 % (3182601)dis+10_16:1_sil=16000:random_seed=1498364412:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 139.46/19.91 % (3182493)Instruction limit reached!
% 139.46/19.91 % (3182493)------------------------------
% 139.46/19.91 % (3182493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.46/19.91 % (3182493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.46/19.91 % (3182493)CaDiCaL version: 2.1.3
% 139.46/19.91 % (3182493)Termination reason: Instruction limit
% 139.46/19.91 % (3182493)Termination phase: Saturation
% 139.46/19.91 % (3182493)Time elapsed: 2.429 s
% 139.46/19.91 % (3182493)Peak memory usage: 46 MB
% 139.46/19.91 % (3182493)Instructions burned: 5211 (million)
% 139.46/19.91 % (3182756)ott-3_8_sil=64000:random_seed=3873495984:i=20139:bs=on_2951 on theBenchmark for (2951ds/20139Mi)
% 139.46/19.91 % (3182598)Instruction limit reached!
% 139.46/19.91 % (3182598)------------------------------
% 139.46/19.91 % (3182598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.46/19.91 % (3182598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.46/19.91 % (3182598)CaDiCaL version: 2.1.3
% 139.46/19.91 % (3182598)Termination reason: Instruction limit
% 139.46/19.91 % (3182598)Termination phase: Saturation
% 139.46/19.91 % (3182598)Time elapsed: 3.494 s
% 139.46/19.91 % (3182598)Peak memory usage: 41 MB
% 139.46/19.91 % (3182598)Instructions burned: 8174 (million)
% 139.46/19.91 % (3182758)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=198628076:fmbsr=2:i=32576_2936 on theBenchmark for (2936ds/32576Mi)
% 148.32/21.15 % Exception at run slice level
% 148.32/21.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 148.32/21.15 % (3182760)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=885816416:i=11404_2936 on theBenchmark for (2936ds/11404Mi)
% 148.32/21.15 % (3182601)Instruction limit reached!
% 148.32/21.15 % (3182601)------------------------------
% 148.32/21.15 % (3182601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.32/21.15 % (3182601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.32/21.15 % (3182601)CaDiCaL version: 2.1.3
% 148.32/21.15 % (3182601)Termination reason: Instruction limit
% 148.32/21.15 % (3182601)Termination phase: Saturation
% 148.32/21.15 % (3182601)Time elapsed: 4.118 s
% 148.32/21.15 % (3182601)Peak memory usage: 51 MB
% 148.32/21.15 % (3182601)Instructions burned: 9155 (million)
% 148.32/21.15 % (3182762)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2885360253:i=14134_2929 on theBenchmark for (2929ds/14134Mi)
% 148.32/21.15 % (3182762)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 148.32/21.15 % (3182588)Instruction limit reached!
% 148.32/21.15 % (3182588)------------------------------
% 148.32/21.15 % (3182588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.32/21.15 % (3182588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.32/21.15 % (3182588)CaDiCaL version: 2.1.3
% 148.32/21.15 % (3182588)Termination reason: Instruction limit
% 148.32/21.15 % (3182588)Termination phase: Saturation
% 148.32/21.15 % (3182588)Time elapsed: 5.218 s
% 148.32/21.15 % (3182588)Peak memory usage: 49 MB
% 148.32/21.15 % (3182588)Instructions burned: 22570 (million)
% 148.32/21.15 % (3182764)dis+33_16_sil=32000:sac=on:random_seed=4097020828:i=15851:nm=0_2919 on theBenchmark for (2919ds/15851Mi)
% 148.32/21.15 % (3182760)Instruction limit reached!
% 148.32/21.15 % (3182760)------------------------------
% 148.32/21.15 % (3182760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.32/21.15 % (3182760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.32/21.15 % (3182760)CaDiCaL version: 2.1.3
% 148.32/21.15 % (3182760)Termination reason: Instruction limit
% 148.32/21.15 % (3182760)Termination phase: Saturation
% 148.32/21.15 % (3182760)Time elapsed: 5.279 s
% 148.32/21.15 % (3182760)Peak memory usage: 85 MB
% 148.32/21.15 % (3182760)Instructions burned: 11405 (million)
% 148.32/21.15 % (3182766)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1140281341:avsq=on:i=17627:add=on:amm=off_2882 on theBenchmark for (2882ds/17627Mi)
% 148.32/21.15 % (3182764)Instruction limit reached!
% 148.32/21.15 % (3182764)------------------------------
% 148.32/21.15 % (3182764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.32/21.15 % (3182764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.32/21.15 % (3182764)CaDiCaL version: 2.1.3
% 148.32/21.15 % (3182764)Termination reason: Instruction limit
% 148.32/21.15 % (3182764)Termination phase: Saturation
% 148.32/21.15 % (3182764)Time elapsed: 3.793 s
% 148.32/21.15 % (3182764)Peak memory usage: 57 MB
% 148.32/21.15 % (3182764)Instructions burned: 15854 (million)
% 148.32/21.15 % (3182768)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1109797482:s2a=on:i=53295_2881 on theBenchmark for (2881ds/53295Mi)
% 148.32/21.15 % (3182762)Instruction limit reached!
% 148.32/21.15 % (3182762)------------------------------
% 148.32/21.15 % (3182762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.32/21.15 % (3182762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.32/21.15 % (3182762)CaDiCaL version: 2.1.3
% 148.32/21.15 % (3182762)Termination reason: Instruction limit
% 148.32/21.15 % (3182762)Termination phase: Saturation
% 148.32/21.15 % (3182762)Time elapsed: 6.324 s
% 148.32/21.15 % (3182762)Peak memory usage: 85 MB
% 148.32/21.15 % (3182762)Instructions burned: 14136 (million)
% 148.32/21.15 % (3182770)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=2905816796:i=26857:ins=20_2865 on theBenchmark for (2865ds/26857Mi)
% 148.32/21.15 % Exception at run slice level
% 148.32/21.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 148.32/21.15 % (3182772)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3338490284:i=28120:bs=on:fsr=off_2865 on theBenchmark for (2865ds/28120Mi)
% 148.32/21.15 % (3182756)Instruction limit reached!
% 148.32/21.15 % (3182756)------------------------------
% 148.32/21.15 % (3182756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 165.88/23.77 % (3182756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.88/23.77 % (3182756)CaDiCaL version: 2.1.3
% 165.88/23.77 % (3182756)Termination reason: Instruction limit
% 165.88/23.77 % (3182756)Termination phase: Saturation
% 165.88/23.77 % (3182756)Time elapsed: 9.527 s
% 165.88/23.77 % (3182756)Peak memory usage: 110 MB
% 165.88/23.77 % (3182756)Instructions burned: 20140 (million)
% 165.88/23.77 % (3182774)fmb+10_1_sil=256000:fmbss=7:random_seed=834583361:fmbsr=1.6:i=182295_2855 on theBenchmark for (2855ds/182295Mi)
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182776)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=2458299785:i=44625:gsp=on_2854 on theBenchmark for (2854ds/44625Mi)
% 165.88/23.77 % (3182776)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 165.88/23.77 % (3182776)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182778)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=1381886741:i=160505_2854 on theBenchmark for (2854ds/160505Mi)
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182780)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3407179278:fmbsr=1.3:i=225729_2853 on theBenchmark for (2853ds/225729Mi)
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182782)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1152436147:fmbsr=2:i=185024:ins=7_2853 on theBenchmark for (2853ds/185024Mi)
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182784)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=3185035559:rtra=on_2852 on theBenchmark for (2852ds/0Mi)
% 165.88/23.77 % Exception at run slice level
% 165.88/23.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 165.88/23.77 % (3182786)% WARNING: option uhcvi not known.
% 165.88/23.77 % (3182786)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2238391029:i=271062:add=off:rtra=on:rawr=on_2852 on theBenchmark for (2852ds/271062Mi)
% 165.88/23.77 % (3182786)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 165.88/23.77 % (3182786)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 165.88/23.77 % (3182369)Instruction limit reached!
% 165.88/23.77 % (3182369)------------------------------
% 165.88/23.77 % (3182369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 165.88/23.77 % (3182369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.88/23.77 % (3182369)CaDiCaL version: 2.1.3
% 165.88/23.77 % (3182369)Termination reason: Instruction limit
% 165.88/23.77 % (3182369)Termination phase: Saturation
% 165.88/23.77 % (3182369)Time elapsed: 13.619 s
% 165.88/23.77 % (3182369)Peak memory usage: 79 MB
% 165.88/23.77 % (3182369)Instructions burned: 29341 (million)
% 165.88/23.77 % (3182788)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3519807627:i=176048:add=on:rtra=on:rawr=on_2842 on theBenchmark for (2842ds/176048Mi)
% 165.88/23.77 % (3182766)Instruction limit reached!
% 165.88/23.77 % (3182766)------------------------------
% 165.88/23.77 % (3182766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 165.88/23.77 % (3182766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.88/23.77 % (3182766)CaDiCaL version: 2.1.3
% 165.88/23.77 % (3182766)Termination reason: Instruction limit
% 165.88/23.77 % (3182766)Termination phase: Saturation
% 165.88/23.77 % (3182766)Time elapsed: 7.835 s
% 165.88/23.77 % (3182766)Peak memory usage: 89 MB
% 165.88/23.77 % (3182766)Instructions burned: 17628 (million)
% 165.88/23.77 % (3182854)dis+10_1_sil=32000:si=on:sp=arity:random_seed=1890430410:i=206:fgj=on:rtra=on_2804 on theBenchmark for (2804ds/206Mi)
% 165.88/23.77 % (3182854)Instruction limit reached!
% 180.00/25.63 % (3182854)------------------------------
% 180.00/25.63 % (3182854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.00/25.63 % (3182854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.00/25.63 % (3182854)CaDiCaL version: 2.1.3
% 180.00/25.63 % (3182854)Termination reason: Instruction limit
% 180.00/25.63 % (3182854)Termination phase: Saturation
% 180.00/25.63 % (3182854)Time elapsed: 0.088 s
% 180.00/25.63 % (3182854)Peak memory usage: 14 MB
% 180.00/25.63 % (3182854)Instructions burned: 206 (million)
% 180.00/25.63 % (3182856)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=2336775424:i=232:rtra=on_2803 on theBenchmark for (2803ds/232Mi)
% 180.00/25.63 % (3182856)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 180.00/25.63 % (3182856)Instruction limit reached!
% 180.00/25.63 % (3182856)------------------------------
% 180.00/25.63 % (3182856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.00/25.63 % (3182856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.00/25.63 % (3182856)CaDiCaL version: 2.1.3
% 180.00/25.63 % (3182856)Termination reason: Instruction limit
% 180.00/25.63 % (3182856)Termination phase: Saturation
% 180.00/25.63 % (3182856)Time elapsed: 0.099 s
% 180.00/25.63 % (3182856)Peak memory usage: 15 MB
% 180.00/25.63 % (3182856)Instructions burned: 232 (million)
% 180.00/25.63 % (3182858)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=2503472514:i=262:rtra=on_2802 on theBenchmark for (2802ds/262Mi)
% 180.00/25.63 % (3182858)Instruction limit reached!
% 180.00/25.63 % (3182858)------------------------------
% 180.00/25.63 % (3182858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.00/25.63 % (3182858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.00/25.63 % (3182858)CaDiCaL version: 2.1.3
% 180.00/25.63 % (3182858)Termination reason: Instruction limit
% 180.00/25.63 % (3182858)Termination phase: Saturation
% 180.00/25.63 % (3182858)Time elapsed: 0.112 s
% 180.00/25.63 % (3182858)Peak memory usage: 15 MB
% 180.00/25.63 % (3182858)Instructions burned: 265 (million)
% 180.00/25.63 % (3182860)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=1427465970:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2800 on theBenchmark for (2800ds/318Mi)
% 180.00/25.63 % (3182860)Instruction limit reached!
% 180.00/25.63 % (3182860)------------------------------
% 180.00/25.63 % (3182860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.00/25.63 % (3182860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.00/25.63 % (3182860)CaDiCaL version: 2.1.3
% 180.00/25.63 % (3182860)Termination reason: Instruction limit
% 180.00/25.63 % (3182860)Termination phase: Saturation
% 180.00/25.63 % (3182860)Time elapsed: 0.140 s
% 180.00/25.63 % (3182860)Peak memory usage: 17 MB
% 180.00/25.63 % (3182860)Instructions burned: 320 (million)
% 180.00/25.63 % (3182862)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=3586829049:i=1428:nm=2:rtra=on_2799 on theBenchmark for (2799ds/1428Mi)
% 180.00/25.63 % Exception at run slice level
% 180.00/25.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 180.00/25.63 % (3182864)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=2211811144:i=262:bd=preordered:rtra=on:fsd=on_2798 on theBenchmark for (2798ds/262Mi)
% 180.00/25.63 % (3182864)Instruction limit reached!
% 180.00/25.63 % (3182864)------------------------------
% 180.00/25.63 % (3182864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.00/25.63 % (3182864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.00/25.63 % (3182864)CaDiCaL version: 2.1.3
% 180.00/25.63 % (3182864)Termination reason: Instruction limit
% 180.00/25.63 % (3182864)Termination phase: Saturation
% 180.00/25.63 % (3182864)Time elapsed: 0.113 s
% 180.00/25.63 % (3182864)Peak memory usage: 15 MB
% 180.00/25.63 % (3182864)Instructions burned: 263 (million)
% 180.00/25.63 % (3182866)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=954792869:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2797 on theBenchmark for (2797ds/1368Mi)
% 180.00/25.63 % (3182866)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 180.00/25.63 % (3182866)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 180.00/25.63 % (3182866)Instruction limit reached!
% 180.00/25.63 % (3182866)------------------------------
% 180.00/25.63 % (3182866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 208.34/29.61 % (3182866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 208.34/29.61 % (3182866)CaDiCaL version: 2.1.3
% 208.34/29.61 % (3182866)Termination reason: Instruction limit
% 208.34/29.61 % (3182866)Termination phase: Saturation
% 208.34/29.61 % (3182866)Time elapsed: 0.623 s
% 208.34/29.61 % (3182866)Peak memory usage: 21 MB
% 208.34/29.61 % (3182866)Instructions burned: 1368 (million)
% 208.34/29.61 % (3182868)ott-21_1_sil=16000:si=on:fs=off:random_seed=755047776:i=360:av=off:fsr=off:rtra=on_2790 on theBenchmark for (2790ds/360Mi)
% 208.34/29.61 % (3182868)Instruction limit reached!
% 208.34/29.61 % (3182868)------------------------------
% 208.34/29.61 % (3182868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 208.34/29.61 % (3182868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 208.34/29.61 % (3182868)CaDiCaL version: 2.1.3
% 208.34/29.61 % (3182868)Termination reason: Instruction limit
% 208.34/29.61 % (3182868)Termination phase: Saturation
% 208.34/29.61 % (3182868)Time elapsed: 0.160 s
% 208.34/29.61 % (3182868)Peak memory usage: 15 MB
% 208.34/29.61 % (3182868)Instructions burned: 362 (million)
% 208.34/29.61 % (3182870)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3397722820:i=954:bd=all:rtra=on_2788 on theBenchmark for (2788ds/954Mi)
% 208.34/29.61 % (3182870)Instruction limit reached!
% 208.34/29.61 % (3182870)------------------------------
% 208.34/29.61 % (3182870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 208.34/29.61 % (3182870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 208.34/29.61 % (3182870)CaDiCaL version: 2.1.3
% 208.34/29.61 % (3182870)Termination reason: Instruction limit
% 208.34/29.61 % (3182870)Termination phase: Saturation
% 208.34/29.61 % (3182870)Time elapsed: 0.466 s
% 208.34/29.61 % (3182870)Peak memory usage: 19 MB
% 208.34/29.61 % (3182870)Instructions burned: 955 (million)
% 208.34/29.61 % (3182872)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=1821135628:fmbsr=1.3:i=1730:ins=25:rtra=on_2784 on theBenchmark for (2784ds/1730Mi)
% 208.34/29.61 % Exception at run slice level
% 208.34/29.61 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 208.34/29.61 % (3182874)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=2494163847:i=2358:rtra=on_2783 on theBenchmark for (2783ds/2358Mi)
% 208.34/29.61 % (3182874)Instruction limit reached!
% 208.34/29.61 % (3182874)------------------------------
% 208.34/29.61 % (3182874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 208.34/29.61 % (3182874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 208.34/29.61 % (3182874)CaDiCaL version: 2.1.3
% 208.34/29.61 % (3182874)Termination reason: Instruction limit
% 208.34/29.61 % (3182874)Termination phase: Saturation
% 208.34/29.61 % (3182874)Time elapsed: 1.083 s
% 208.34/29.61 % (3182874)Peak memory usage: 31 MB
% 208.34/29.61 % (3182874)Instructions burned: 2360 (million)
% 208.34/29.61 % (3182876)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=2659364652:i=1778:ins=1:rtra=on_2772 on theBenchmark for (2772ds/1778Mi)
% 208.34/29.61 % Exception at run slice level
% 208.34/29.61 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 208.34/29.61 % (3182878)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1439488201:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2771 on theBenchmark for (2771ds/1384Mi)
% 208.34/29.61 % (3182878)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 208.34/29.61 % (3182878)Instruction limit reached!
% 208.34/29.61 % (3182878)------------------------------
% 208.34/29.61 % (3182878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 208.34/29.61 % (3182878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 208.34/29.61 % (3182878)CaDiCaL version: 2.1.3
% 208.34/29.61 % (3182878)Termination reason: Instruction limit
% 208.34/29.61 % (3182878)Termination phase: Saturation
% 208.34/29.61 % (3182878)Time elapsed: 0.674 s
% 208.34/29.61 % (3182878)Peak memory usage: 23 MB
% 208.34/29.61 % (3182878)Instructions burned: 1385 (million)
% 208.34/29.61 % (3182880)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=512736489:i=1758:kws=inv_precedence:fsr=off:rtra=on_2764 on theBenchmark for (2764ds/1758Mi)
% 208.34/29.61 % (3182880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 221.17/31.46 % (3182880)Instruction limit reached!
% 221.17/31.46 % (3182880)------------------------------
% 221.17/31.46 % (3182880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182880)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182880)Termination reason: Instruction limit
% 221.17/31.46 % (3182880)Termination phase: Saturation
% 221.17/31.46 % (3182880)Time elapsed: 0.846 s
% 221.17/31.46 % (3182880)Peak memory usage: 25 MB
% 221.17/31.46 % (3182880)Instructions burned: 1760 (million)
% 221.17/31.46 % (3182882)fmb+10_1_sil=64000:si=on:random_seed=414053963:i=44122:nm=2:rtra=on:gsp=on_2756 on theBenchmark for (2756ds/44122Mi)
% 221.17/31.46 % (3182882)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182884)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=3286026346:i=19030:nm=5:rtra=on_2755 on theBenchmark for (2755ds/19030Mi)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182886)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=1241589422:fmbsr=1.7:i=1840:rtra=on_2755 on theBenchmark for (2755ds/1840Mi)
% 221.17/31.46 % (3182768)Instruction limit reached!
% 221.17/31.46 % (3182768)------------------------------
% 221.17/31.46 % (3182768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182768)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182768)Termination reason: Instruction limit
% 221.17/31.46 % (3182768)Termination phase: Saturation
% 221.17/31.46 % (3182768)Time elapsed: 12.665 s
% 221.17/31.46 % (3182768)Peak memory usage: 184 MB
% 221.17/31.46 % (3182768)Instructions burned: 53299 (million)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182888)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=1903262202:i=10262:rtra=on_2754 on theBenchmark for (2754ds/10262Mi)
% 221.17/31.46 % (3182889)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:si=on:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2292258990:i=2944:ins=7:rtra=on:fdi=8:gsp=on_2754 on theBenchmark for (2754ds/2944Mi)
% 221.17/31.46 % (3182889)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 221.17/31.46 % (3182888)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 221.17/31.46 % (3182889)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 221.17/31.46 % (3182889)Instruction limit reached!
% 221.17/31.46 % (3182889)------------------------------
% 221.17/31.46 % (3182889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182889)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182889)Termination reason: Instruction limit
% 221.17/31.46 % (3182889)Termination phase: Saturation
% 221.17/31.46 % (3182889)Time elapsed: 0.796 s
% 221.17/31.46 % (3182889)Peak memory usage: 29 MB
% 221.17/31.46 % (3182889)Instructions burned: 2947 (million)
% 221.17/31.46 % (3182892)fmb+10_1_sil=16000:sas=cadical:si=on:bce=on:fmbss=77:random_seed=3919316282:i=12648:rtra=on_2746 on theBenchmark for (2746ds/12648Mi)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182772)Instruction limit reached!
% 221.17/31.46 % (3182772)------------------------------
% 221.17/31.46 % (3182772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182772)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182772)Termination reason: Instruction limit
% 221.17/31.46 % (3182772)Termination phase: Saturation
% 221.17/31.46 % (3182772)Time elapsed: 11.915 s
% 221.17/31.46 % (3182772)Peak memory usage: 81 MB
% 221.17/31.46 % (3182772)Instructions burned: 28121 (million)
% 221.17/31.46 % (3182894)fmb+10_1_fmbas=function:sil=32000:sas=cadical:si=on:fmbss=16:random_seed=2189821977:fmbsr=2.30978:i=4348:rtra=on_2746 on theBenchmark for (2746ds/4348Mi)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182896)ott-2_1_sil=16000:si=on:newcnf=on:random_seed=2121967015:avsq=on:i=1738:avsqr=1,16:kws=inv_arity_squared:rtra=on_2745 on theBenchmark for (2745ds/1738Mi)
% 221.17/31.46 % (3182897)ott+10_1_sil=32000:tgt=ground:si=on:random_seed=1871328847:i=10228:av=off:rtra=on_2745 on theBenchmark for (2745ds/10228Mi)
% 221.17/31.46 % (3182896)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 221.17/31.46 % (3182896)Instruction limit reached!
% 221.17/31.46 % (3182896)------------------------------
% 221.17/31.46 % (3182896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182896)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182896)Termination reason: Instruction limit
% 221.17/31.46 % (3182896)Termination phase: Saturation
% 221.17/31.46 % (3182896)Time elapsed: 0.765 s
% 221.17/31.46 % (3182896)Peak memory usage: 27 MB
% 221.17/31.46 % (3182896)Instructions burned: 1740 (million)
% 221.17/31.46 % (3182900)fmb+10_1_sil=64000:sas=cadical:si=on:bce=on:rp=on:random_seed=1827862294:i=108564:rtra=on_2738 on theBenchmark for (2738ds/108564Mi)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182902)dis-11_1_sil=16000:si=on:sp=reverse_frequency:alpa=true:random_seed=2824565388:i=7024:aac=none:rtra=on_2737 on theBenchmark for (2737ds/7024Mi)
% 221.17/31.46 % (3182902)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 221.17/31.46 % (3182897)Instruction limit reached!
% 221.17/31.46 % (3182897)------------------------------
% 221.17/31.46 % (3182897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182897)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182897)Termination reason: Instruction limit
% 221.17/31.46 % (3182897)Termination phase: Saturation
% 221.17/31.46 % (3182897)Time elapsed: 2.412 s
% 221.17/31.46 % (3182897)Peak memory usage: 80 MB
% 221.17/31.46 % (3182897)Instructions burned: 10232 (million)
% 221.17/31.46 % (3182904)dis+21_1_sil=32000:sas=cadical:si=on:random_seed=4150009621:i=7546:rtra=on:amm=off_2721 on theBenchmark for (2721ds/7546Mi)
% 221.17/31.46 % (3182888)Instruction limit reached!
% 221.17/31.46 % (3182888)------------------------------
% 221.17/31.46 % (3182888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182888)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182888)Termination reason: Instruction limit
% 221.17/31.46 % (3182888)Termination phase: Saturation
% 221.17/31.46 % (3182888)Time elapsed: 4.747 s
% 221.17/31.46 % (3182888)Peak memory usage: 61 MB
% 221.17/31.46 % (3182888)Instructions burned: 10262 (million)
% 221.17/31.46 % (3182902)Instruction limit reached!
% 221.17/31.46 % (3182902)------------------------------
% 221.17/31.46 % (3182902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182902)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182902)Termination reason: Instruction limit
% 221.17/31.46 % (3182902)Termination phase: Saturation
% 221.17/31.46 % (3182902)Time elapsed: 3.039 s
% 221.17/31.46 % (3182902)Peak memory usage: 40 MB
% 221.17/31.46 % (3182902)Instructions burned: 7024 (million)
% 221.17/31.46 % (3182906)ott+11_1_sil=16000:si=on:gs=on:random_seed=1913767824:s2a=on:i=4502:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:rtra=on:fsd=on_2706 on theBenchmark for (2706ds/4502Mi)
% 221.17/31.46 % (3182907)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:si=on:fmbss=7:random_seed=4162110004:fmbsr=1.6:i=135068:rtra=on_2706 on theBenchmark for (2706ds/135068Mi)
% 221.17/31.46 % Exception at run slice level
% 221.17/31.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 221.17/31.46 % (3182906)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 221.17/31.46 % (3182910)ott-22_32_sil=16000:tgt=full:si=on:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1536765543:avsq=on:i=9182:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:rtra=on:fdi=4_2706 on theBenchmark for (2706ds/9182Mi)
% 221.17/31.46 % (3182904)Instruction limit reached!
% 221.17/31.46 % (3182904)------------------------------
% 221.17/31.46 % (3182904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182904)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182904)Termination reason: Instruction limit
% 221.17/31.46 % (3182904)Termination phase: Saturation
% 221.17/31.46 % (3182904)Time elapsed: 1.746 s
% 221.17/31.46 % (3182904)Peak memory usage: 44 MB
% 221.17/31.46 % (3182904)Instructions burned: 7547 (million)
% 221.17/31.46 % (3182912)dis+10_64_to=lpo:sil=32000:si=on:spb=intro:urr=on:sac=on:random_seed=3149821647:i=58680:rtra=on_2703 on theBenchmark for (2703ds/58680Mi)
% 221.17/31.46 % (3182906) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3182143-3182906"...
% 221.17/31.46 % (3182906)...printing done.
% 221.17/31.46 % (3182906)Refutation found. Thanks to Tanya!
% 221.17/31.46 % SZS status Theorem for theBenchmark
% 221.17/31.46 % SZS output start Proof for theBenchmark
% See solution above
% 221.17/31.46 % (3182906)------------------------------
% 221.17/31.46 % (3182906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.17/31.46 % (3182906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.17/31.46 % (3182906)CaDiCaL version: 2.1.3
% 221.17/31.46 % (3182906)Termination reason: Refutation
% 221.17/31.46 % (3182906)Time elapsed: 1.855 s
% 221.17/31.46 % (3182906)Peak memory usage: 40 MB
% 221.17/31.46 % (3182906)Instructions burned: 3930 (million)
% 221.17/31.46 % (3182143)Success in time 31.223 s
% 221.17/31.46 % Vampire exiting
%------------------------------------------------------------------------------