%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP192^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:56:18 AM UTC 2026
% Result : Theorem 71.38s 11.48s
% Output : Refutation 71.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 135 ( 42 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 253 ( 24 ~; 13 |; 0 &; 206 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 206 ( 203 usr; 16 con; 0-5 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
pi: $tType ).
thf(type_def_7,type,
name: $tType ).
thf(type_def_8,type,
late_freeRes: $tType ).
thf(type_def_9,type,
late_subject: $tType ).
thf(type_def_10,type,
late_residual: $tType ).
thf(type_def_11,type,
noption_name: $tType ).
thf(type_def_12,type,
noption_pi: $tType ).
thf(type_def_13,type,
noption_Late_freeRes: $tType ).
thf(type_def_14,type,
noption_Late_subject: $tType ).
thf(type_def_15,type,
produc1462499409ion_pi: $tType ).
thf(type_def_16,type,
produc405342261i_name: $tType ).
thf(type_def_17,type,
produc629157763_pi_pi: $tType ).
thf(type_def_18,type,
produc1834551554reeRes: $tType ).
thf(type_def_19,type,
produc691362330ubject: $tType ).
thf(type_def_20,type,
produc2008547984reeRes: $tType ).
thf(type_def_21,type,
produc865358760ubject: $tType ).
thf(type_def_22,type,
product_prod_pi_pi: $tType ).
thf(type_def_23,type,
produc2052722628s_name: $tType ).
thf(type_def_24,type,
produc992857746Res_pi: $tType ).
thf(type_def_25,type,
produc1357834675reeRes: $tType ).
thf(type_def_26,type,
produc214645451ubject: $tType ).
thf(type_def_27,type,
produc1998742700t_name: $tType ).
thf(type_def_28,type,
produc140253050ect_pi: $tType ).
thf(type_def_29,type,
produc355105483reeRes: $tType ).
thf(type_def_30,type,
produc1359399907ubject: $tType ).
thf(type_def_31,type,
set_Pr1834926343_pi_pi: $tType ).
thf(func_def_0,type,
produc1462499409ion_pi: $tType ).
thf(func_def_1,type,
produc691362330ubject: $tType ).
thf(func_def_2,type,
produc1834551554reeRes: $tType ).
thf(func_def_3,type,
produc405342261i_name: $tType ).
thf(func_def_4,type,
produc629157763_pi_pi: $tType ).
thf(func_def_5,type,
produc1359399907ubject: $tType ).
thf(func_def_6,type,
produc355105483reeRes: $tType ).
thf(func_def_7,type,
produc214645451ubject: $tType ).
thf(func_def_8,type,
produc1357834675reeRes: $tType ).
thf(func_def_9,type,
produc1998742700t_name: $tType ).
thf(func_def_10,type,
produc2052722628s_name: $tType ).
thf(func_def_11,type,
produc865358760ubject: $tType ).
thf(func_def_12,type,
produc2008547984reeRes: $tType ).
thf(func_def_13,type,
produc140253050ect_pi: $tType ).
thf(func_def_14,type,
produc992857746Res_pi: $tType ).
thf(func_def_15,type,
set_Pr1834926343_pi_pi: $tType ).
thf(func_def_16,type,
product_prod_pi_pi: $tType ).
thf(func_def_17,type,
noption_Late_subject: $tType ).
thf(func_def_18,type,
noption_Late_freeRes: $tType ).
thf(func_def_19,type,
noption_name: $tType ).
thf(func_def_20,type,
noption_pi: $tType ).
thf(func_def_21,type,
late_residual: $tType ).
thf(func_def_22,type,
late_subject: $tType ).
thf(func_def_23,type,
late_freeRes: $tType ).
thf(func_def_24,type,
name: $tType ).
thf(func_def_25,type,
pi: $tType ).
thf(func_def_26,type,
bang: pi > pi ).
thf(func_def_27,type,
input: name > name > pi > pi ).
thf(func_def_28,type,
match: name > name > pi > pi ).
thf(func_def_29,type,
mismatch: name > name > pi > pi ).
thf(func_def_30,type,
output: name > name > pi > pi ).
thf(func_def_31,type,
par: pi > pi > pi ).
thf(func_def_32,type,
piNil: pi ).
thf(func_def_33,type,
res: name > pi > pi ).
thf(func_def_34,type,
sum: pi > pi > pi ).
thf(func_def_35,type,
tau: pi > pi ).
thf(func_def_36,type,
subs: pi > name > name > pi ).
thf(func_def_37,type,
subst_name: name > name > name > name ).
thf(func_def_38,type,
if_name: $o > name > name > name ).
thf(func_def_39,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_40,type,
late_TauR: late_freeRes ).
thf(func_def_41,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_42,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_43,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_44,type,
late_InputS: name > late_subject ).
thf(func_def_45,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_46,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_47,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_48,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_49,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_50,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_51,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_52,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_53,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_54,type,
fresh_name_name: name > name > $o ).
thf(func_def_55,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_56,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_57,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_58,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_59,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_60,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_61,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_62,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_63,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(func_def_64,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_65,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(func_def_66,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_67,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_68,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_69,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_70,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(func_def_71,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(func_def_72,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(func_def_73,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(func_def_74,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(func_def_75,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_76,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_77,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_78,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_79,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(func_def_80,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_81,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(func_def_82,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_83,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_84,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_85,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_86,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_87,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_88,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_89,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_90,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_91,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_92,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_93,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_94,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_95,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_96,type,
p: pi ).
thf(func_def_97,type,
pq: pi ).
thf(func_def_98,type,
p2: pi ).
thf(func_def_99,type,
q: pi ).
thf(func_def_100,type,
q2: pi ).
thf(func_def_101,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_102,type,
alpha: late_freeRes ).
thf(func_def_103,type,
aa: name ).
thf(func_def_104,type,
x: name ).
thf(func_def_105,type,
xPQ: pi ).
thf(func_def_106,type,
y: name ).
thf(func_def_107,type,
z: name ).
thf(func_def_126,type,
sP0: pi > pi > late_subject > name > pi > $o ).
thf(func_def_127,type,
sP1: late_residual > name > pi > $o ).
thf(func_def_128,type,
sP2: late_residual > name > pi > $o ).
thf(func_def_129,type,
sP3: late_subject > name > pi > name > pi > $o ).
thf(func_def_130,type,
sK4: pi > name ).
thf(func_def_131,type,
sK5: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_132,type,
sK6: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_133,type,
sK7: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_134,type,
sK8: ( late_subject > late_residual > $o ) > name ).
thf(func_def_135,type,
sK9: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_136,type,
sK10: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_137,type,
sK11: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_138,type,
sK12: pi > pi > late_subject > name > pi > name ).
thf(func_def_139,type,
sK13: pi > pi > late_subject > name > pi > pi ).
thf(func_def_140,type,
sK14: pi > pi > late_subject > name > pi > pi ).
thf(func_def_141,type,
sK15: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_142,type,
sK16: pi > pi > late_subject > name > pi > pi ).
thf(func_def_143,type,
sK17: pi > pi > name > late_subject > pi > late_subject ).
thf(func_def_144,type,
sK18: pi > pi > name > late_subject > pi > pi ).
thf(func_def_145,type,
sK19: pi > pi > name > late_subject > pi > pi ).
thf(func_def_146,type,
sK20: pi > pi > name > late_subject > pi > pi ).
thf(func_def_147,type,
sK21: pi > pi > name > late_subject > pi > name ).
thf(func_def_148,type,
sK22: ( pi > $o ) > late_subject > pi > pi > name > pi ).
thf(func_def_149,type,
sK23: ( pi > $o ) > late_subject > pi > pi > name > pi ).
thf(func_def_150,type,
sK24: name > pi > late_freeRes > ( pi > $o ) > pi ).
thf(func_def_151,type,
sK25: late_residual > pi > pi ).
thf(func_def_152,type,
sK26: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_153,type,
sK27: ( pi > late_residual > $o ) > pi ).
thf(func_def_154,type,
sK28: ( pi > late_residual > $o ) > name ).
thf(func_def_155,type,
sK29: ( pi > late_residual > $o ) > pi ).
thf(func_def_156,type,
sK30: ( pi > late_residual > $o ) > pi ).
thf(func_def_157,type,
sK31: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_158,type,
sK32: ( pi > late_residual > $o ) > pi ).
thf(func_def_159,type,
sK33: ( late_residual > $o ) > pi ).
thf(func_def_160,type,
sK34: ( late_residual > $o ) > late_freeRes ).
thf(func_def_161,type,
sK35: ( late_residual > $o ) > name ).
thf(func_def_162,type,
sK36: ( late_residual > $o ) > pi ).
thf(func_def_163,type,
sK37: ( late_residual > $o ) > late_subject ).
thf(func_def_164,type,
sK38: ( name > late_residual > $o ) > pi ).
thf(func_def_165,type,
sK39: ( name > late_residual > $o ) > name ).
thf(func_def_166,type,
sK40: ( name > late_residual > $o ) > name ).
thf(func_def_167,type,
sK41: ( name > late_residual > $o ) > late_subject ).
thf(func_def_168,type,
sK42: ( name > late_residual > $o ) > name ).
thf(func_def_169,type,
sK43: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_170,type,
sK44: ( name > late_residual > $o ) > pi ).
thf(func_def_171,type,
sK45: late_residual > name > pi > name ).
thf(func_def_172,type,
sK46: late_residual > name > pi > pi ).
thf(func_def_173,type,
sK47: late_residual > name > pi > name ).
thf(func_def_174,type,
sK48: late_residual > name > pi > pi ).
thf(func_def_175,type,
sK49: late_residual > name > pi > pi ).
thf(func_def_176,type,
sK50: late_residual > name > pi > name ).
thf(func_def_177,type,
sK51: late_residual > name > pi > pi ).
thf(func_def_178,type,
sK52: late_residual > name > pi > name ).
thf(func_def_179,type,
sK53: late_residual > name > pi > late_subject ).
thf(func_def_180,type,
sK54: late_residual > name > pi > pi ).
thf(func_def_181,type,
sK55: late_residual > name > pi > late_freeRes ).
thf(func_def_182,type,
sK56: late_residual > name > pi > name ).
thf(func_def_183,type,
sK57: late_residual > name > pi > pi ).
thf(func_def_184,type,
sK58: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_185,type,
sK59: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_186,type,
sK60: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_187,type,
sK61: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_188,type,
sK62: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_189,type,
sK63: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_190,type,
sK64: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_191,type,
sK65: late_subject > name ).
thf(func_def_192,type,
sK66: late_subject > name ).
thf(func_def_193,type,
sK67: late_freeRes > name ).
thf(func_def_194,type,
sK68: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_195,type,
sK69: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_196,type,
sK70: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_197,type,
sK71: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_198,type,
sK72: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_199,type,
sK73: ( late_subject > late_residual > $o ) > name ).
thf(func_def_200,type,
sK74: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_201,type,
sK75: ( pi > late_residual > $o ) > pi ).
thf(func_def_202,type,
sK76: ( pi > late_residual > $o ) > pi ).
thf(func_def_203,type,
sK77: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_204,type,
sK78: ( pi > late_residual > $o ) > pi ).
thf(func_def_205,type,
sK79: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_206,type,
sK80: ( pi > late_residual > $o ) > name ).
thf(func_def_207,type,
sK81: ( pi > late_residual > $o ) > pi ).
thf(func_def_208,type,
sK82: ( late_freeRes > $o ) > name ).
thf(func_def_209,type,
sK83: ( late_freeRes > $o ) > name ).
thf(func_def_210,type,
sK84: late_subject > name > pi > name > pi > name ).
thf(func_def_211,type,
sK85: late_subject > name > pi > name > pi > pi ).
thf(func_def_212,type,
sK86: late_subject > name > pi > name > pi > pi ).
thf(func_def_213,type,
sK87: late_subject > name > pi > name > pi > name ).
thf(func_def_214,type,
sK88: late_subject > name > pi > name > pi > late_subject ).
thf(func_def_215,type,
sK89: name > name > pi > pi > late_subject > name ).
thf(func_def_216,type,
sK90: name > name > pi > pi > late_subject > name ).
thf(func_def_217,type,
sK91: name > name > pi > pi > late_subject > pi ).
thf(func_def_218,type,
sK92: name > name > pi > pi > late_subject > pi ).
thf(func_def_219,type,
sK93: ( late_subject > $o ) > name ).
thf(func_def_220,type,
sK94: ( late_subject > $o ) > name ).
thf(func_def_221,type,
sK95: pi > late_freeRes > pi > name > pi ).
thf(func_def_222,type,
sK96: pi > late_freeRes > pi > name > name ).
thf(func_def_223,type,
sK97: pi > late_freeRes > pi > name > pi ).
thf(func_def_224,type,
sK98: pi > late_freeRes > pi > name > late_freeRes ).
thf(func_def_225,type,
sK99: late_freeRes > name ).
thf(func_def_226,type,
sK100: late_freeRes > name ).
thf(func_def_227,type,
sK101: ( name > late_residual > $o ) > name ).
thf(func_def_228,type,
sK102: ( name > late_residual > $o ) > pi ).
thf(func_def_229,type,
sK103: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_230,type,
sK104: ( name > late_residual > $o ) > pi ).
thf(func_def_231,type,
sK105: ( name > late_residual > $o ) > name ).
thf(func_def_232,type,
sK106: ( name > late_residual > $o ) > late_subject ).
thf(func_def_233,type,
sK107: ( name > late_residual > $o ) > name ).
thf(func_def_234,type,
sK108: late_subject > name ).
thf(func_def_235,type,
sK109: name > name > late_residual > pi > name ).
thf(func_def_236,type,
sK110: name > name > late_residual > pi > name ).
thf(func_def_237,type,
sK111: name > name > late_residual > pi > pi ).
thf(func_def_238,type,
sK112: name > name ).
thf(func_def_239,type,
sK113: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_240,type,
sK114: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_241,type,
sK115: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_242,type,
sK116: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_243,type,
sK117: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_244,type,
sK118: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_245,type,
sK119: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_246,type,
ph120:
!>[X0: $tType] : X0 ).
thf(f5005,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f5004,f1552]) ).
thf(f1552,plain,
! [X0: name] :
( ( fresh_717452603ubject @ X0 @ ( late_InputS @ X0 ) )
!= $true ),
inference(trivial_inequality_removal,[status(thm)],[f1551]) ).
thf(f1551,plain,
! [X0: name] :
( ( $true != $true )
| ( ( fresh_717452603ubject @ X0 @ ( late_InputS @ X0 ) )
!= $true ) ),
inference(superposition,[status(thm)],[f1164,f1054]) ).
thf(f1054,plain,
! [X2: name,X0: name,X1: pi] :
( $true
= ( late_transitions @ ( input @ X2 @ X0 @ X1 ) @ ( late_BoundR @ ( late_InputS @ X2 ) @ X0 @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f606]) ).
thf(f606,plain,
! [X0: name,X1: pi,X2: name] :
( $true
= ( late_transitions @ ( input @ X2 @ X0 @ X1 ) @ ( late_BoundR @ ( late_InputS @ X2 ) @ X0 @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f605]) ).
thf(f605,plain,
! [X0: name,X1: pi,X2: name] : ( late_transitions @ ( input @ X2 @ X0 @ X1 ) @ ( late_BoundR @ ( late_InputS @ X2 ) @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f238]) ).
thf(f238,axiom,
! [X7: name,X3: pi,X0: name] : ( late_transitions @ ( input @ X0 @ X7 @ X3 ) @ ( late_BoundR @ ( late_InputS @ X0 ) @ X7 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_237_Late__Semantics_OInput) ).
thf(f1164,plain,
! [X2: name,X3: late_subject,X0: pi,X1: name,X4: name,X5: pi] :
( ( $true
!= ( late_transitions @ ( input @ X1 @ X2 @ X5 ) @ ( late_BoundR @ X3 @ X4 @ X0 ) ) )
| ( $true
!= ( fresh_717452603ubject @ X1 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f941]) ).
thf(f941,plain,
! [X0: pi,X1: name,X2: name,X3: late_subject,X4: name,X5: pi] :
( ( $true
!= ( fresh_717452603ubject @ X1 @ X3 ) )
| ( $true
!= ( late_transitions @ ( input @ X1 @ X2 @ X5 ) @ ( late_BoundR @ X3 @ X4 @ X0 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f817]) ).
thf(f817,plain,
! [X0: pi,X1: name,X2: name,X3: late_subject,X4: name,X5: pi] :
( ( $true
= ( late_transitions @ ( input @ X1 @ X2 @ X5 ) @ ( late_BoundR @ X3 @ X4 @ X0 ) ) )
=> ( $true
!= ( fresh_717452603ubject @ X1 @ X3 ) ) ),
inference(flattening,[status(thm)],[f344]) ).
thf(f344,plain,
! [X0: pi,X1: name,X2: name,X3: late_subject,X4: name,X5: pi] :
( ( $true
= ( late_transitions @ ( input @ X1 @ X2 @ X5 ) @ ( late_BoundR @ X3 @ X4 @ X0 ) ) )
=> ( $true
!= ( fresh_717452603ubject @ X1 @ X3 ) ) ),
inference(fool_elimination,[status(thm)],[f343]) ).
thf(f343,plain,
! [X0: pi,X1: name,X2: name,X3: late_subject,X4: name,X5: pi] :
( ( late_transitions @ ( input @ X1 @ X2 @ X5 ) @ ( late_BoundR @ X3 @ X4 @ X0 ) )
=> ~ ( fresh_717452603ubject @ X1 @ X3 ) ),
inference(rectify,[status(thm)],[f241]) ).
thf(f241,axiom,
! [X5: pi,X0: name,X7: name,X44: late_subject,X6: name,X3: pi] :
( ( late_transitions @ ( input @ X0 @ X7 @ X3 ) @ ( late_BoundR @ X44 @ X6 @ X5 ) )
=> ~ ( fresh_717452603ubject @ X0 @ X44 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_240_inputIneqTrans) ).
thf(f5004,plain,
( $true
= ( fresh_717452603ubject @ aa @ ( late_InputS @ aa ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f4997]) ).
thf(f4997,plain,
( ( $true != $true )
| ( $true
= ( fresh_717452603ubject @ aa @ ( late_InputS @ aa ) ) ) ),
inference(superposition,[status(thm)],[f1542,f1257]) ).
thf(f1257,plain,
( ( fresh_name_pi @ aa @ p )
= $true ),
inference(definition_unfolding,[status(thm)],[f1158,f1102]) ).
thf(f1102,plain,
x = aa,
inference(cnf_transformation,[status(thm)],[f791]) ).
thf(f791,plain,
x = aa,
inference(flattening,[status(thm)],[f323]) ).
thf(f323,negated_conjecture,
~ ( ( x != aa ) ),
inference(negated_conjecture,[status(cth)],[f322]) ).
thf(f322,conjecture,
x != aa,
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',conj_0) ).
thf(f1158,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(cnf_transformation,[status(thm)],[f466]) ).
thf(f466,plain,
( ( fresh_name_pi @ x @ p )
= $true ),
inference(fool_elimination,[status(thm)],[f465]) ).
thf(f465,plain,
fresh_name_pi @ x @ p,
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
fresh_name_pi @ x @ p,
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_3_assms_I1_J) ).
thf(f1542,plain,
! [X0: name] :
( ( $true
!= ( fresh_name_pi @ X0 @ p ) )
| ( $true
= ( fresh_717452603ubject @ X0 @ ( late_InputS @ aa ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1541]) ).
thf(f1541,plain,
! [X0: name] :
( ( $true
= ( fresh_717452603ubject @ X0 @ ( late_InputS @ aa ) ) )
| ( $true
!= ( fresh_name_pi @ X0 @ p ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1099,f1149]) ).
thf(f1149,plain,
( ( late_transitions @ p @ ( late_BoundR @ ( late_InputS @ aa ) @ y @ p2 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f372]) ).
thf(f372,plain,
( ( late_transitions @ p @ ( late_BoundR @ ( late_InputS @ aa ) @ y @ p2 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f371]) ).
thf(f371,plain,
late_transitions @ p @ ( late_BoundR @ ( late_InputS @ aa ) @ y @ p2 ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
late_transitions @ p @ ( late_BoundR @ ( late_InputS @ aa ) @ y @ p2 ),
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_8_cClose1_Ohyps_I1_J) ).
thf(f1099,plain,
! [X2: late_subject,X3: pi,X0: name,X1: name,X4: pi] :
( ( ( late_transitions @ X3 @ ( late_BoundR @ X2 @ X1 @ X4 ) )
!= $true )
| ( ( fresh_name_pi @ X0 @ X3 )
!= $true )
| ( $true
= ( fresh_717452603ubject @ X0 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f872]) ).
thf(f872,plain,
! [X0: name,X1: name,X2: late_subject,X3: pi,X4: pi] :
( ( ( fresh_name_pi @ X0 @ X3 )
!= $true )
| ( ( late_transitions @ X3 @ ( late_BoundR @ X2 @ X1 @ X4 ) )
!= $true )
| ( $true
= ( fresh_717452603ubject @ X0 @ X2 ) ) ),
inference(flattening,[status(thm)],[f871]) ).
thf(f871,plain,
! [X0: name,X1: name,X2: late_subject,X3: pi,X4: pi] :
( ( $true
= ( fresh_717452603ubject @ X0 @ X2 ) )
| ( ( fresh_name_pi @ X0 @ X3 )
!= $true )
| ( ( late_transitions @ X3 @ ( late_BoundR @ X2 @ X1 @ X4 ) )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f482]) ).
thf(f482,plain,
! [X0: name,X1: name,X2: late_subject,X3: pi,X4: pi] :
( ( ( late_transitions @ X3 @ ( late_BoundR @ X2 @ X1 @ X4 ) )
= $true )
=> ( ( ( fresh_name_pi @ X0 @ X3 )
= $true )
=> ( $true
= ( fresh_717452603ubject @ X0 @ X2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f481]) ).
thf(f481,plain,
! [X0: name,X1: name,X2: late_subject,X3: pi,X4: pi] :
( ( late_transitions @ X3 @ ( late_BoundR @ X2 @ X1 @ X4 ) )
=> ( ( fresh_name_pi @ X0 @ X3 )
=> ( fresh_717452603ubject @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f102]) ).
thf(f102,axiom,
! [X6: name,X7: name,X0: late_subject,X3: pi,X5: pi] :
( ( late_transitions @ X3 @ ( late_BoundR @ X0 @ X7 @ X5 ) )
=> ( ( fresh_name_pi @ X6 @ X3 )
=> ( fresh_717452603ubject @ X6 @ X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_101_freshBoundDerivative_I1_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP192^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n008.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 08:29:39 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : ITP192^1 : TPTP v9.2.1. Released v7.5.0.
% 0.29/0.46 % Domain : Interactive Theorem Proving
% 0.29/0.46 % Problem : Sledgehammer Strong_Late_Sim_SC problem prob_997__3418970_1
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.29/0.46 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Des21]
% 0.29/0.46 % Names : Strong_Late_Sim_SC/prob_997__3418970_1 [Des21]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.31 v8.1.0, 0.36 v7.5.0
% 0.29/0.46 % Syntax : Number of formulae : 430 ( 191 unt; 108 typ; 0 def)
% 0.29/0.46 % Number of atoms : 882 ( 354 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 16 ( 2 avg)
% 0.29/0.46 % Number of connectives : 4221 ( 172 ~; 11 |; 81 &;3382 @)
% 0.29/0.46 % ( 0 <=>; 575 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 27 ( 9 avg)
% 0.29/0.46 % Number of types : 27 ( 26 usr)
% 0.29/0.46 % Number of type conns : 289 ( 289 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 85 ( 82 usr; 16 con; 0-5 aty)
% 0.29/0.46 % Number of variables : 1667 ( 9 ^;1620 !; 38 ?;1667 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This file was generated by Sledgehammer 2021-02-23 15:33:03.231
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % Could-be-implicit typings (26)
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_M_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J,type,
% 0.29/0.46 produc1462499409ion_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__Osubject_J,type,
% 0.29/0.46 produc691362330ubject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 produc1834551554reeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Oname_J,type,
% 0.29/0.46 produc405342261i_name: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Opi_J,type,
% 0.29/0.46 produc629157763_pi_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Late____Semantics__Osubject_J,type,
% 0.29/0.46 produc1359399907ubject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 produc355105483reeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Late____Semantics__Osubject_J,type,
% 0.29/0.46 produc214645451ubject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 produc1357834675reeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Agent__Oname_J,type,
% 0.29/0.46 produc1998742700t_name: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Agent__Oname_J,type,
% 0.29/0.46 produc2052722628s_name: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Agent__Oname_Mt__Late____Semantics__Osubject_J,type,
% 0.29/0.46 produc865358760ubject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Agent__Oname_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 produc2008547984reeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Agent__Opi_J,type,
% 0.29/0.46 produc140253050ect_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Agent__Opi_J,type,
% 0.29/0.46 produc992857746Res_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Agent__Opi_Mt__Agent__Opi_J_J,type,
% 0.29/0.46 set_Pr1834926343_pi_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Oprod_It__Agent__Opi_Mt__Agent__Opi_J,type,
% 0.29/0.46 product_prod_pi_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Nominal__Onoption_It__Late____Semantics__Osubject_J,type,
% 0.29/0.46 noption_Late_subject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Nominal__Onoption_It__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 noption_Late_freeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Nominal__Onoption_It__Agent__Oname_J,type,
% 0.29/0.46 noption_name: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Nominal__Onoption_It__Agent__Opi_J,type,
% 0.29/0.46 noption_pi: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Late____Semantics__Oresidual,type,
% 0.29/0.46 late_residual: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Late____Semantics__Osubject,type,
% 0.29/0.46 late_subject: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Late____Semantics__OfreeRes,type,
% 0.29/0.46 late_freeRes: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Agent__Oname,type,
% 0.29/0.46 name: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Agent__Opi,type,
% 0.29/0.46 pi: $tType ).
% 0.29/0.46
% 0.29/0.46 % Explicit typings (82)
% 0.29/0.46 thf(sy_c_Agent_Opi_OBang,type,
% 0.29/0.46 bang: pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OInput,type,
% 0.29/0.46 input: name > name > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OMatch,type,
% 0.29/0.46 match: name > name > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OMismatch,type,
% 0.29/0.46 mismatch: name > name > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OOutput,type,
% 0.29/0.46 output: name > name > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OPar,type,
% 0.29/0.46 par: pi > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OPiNil,type,
% 0.29/0.46 piNil: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_ORes,type,
% 0.29/0.46 res: name > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OSum,type,
% 0.29/0.46 sum: pi > pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Opi_OTau,type,
% 0.29/0.46 tau: pi > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Osubs,type,
% 0.29/0.46 subs: pi > name > name > pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Agent_Osubst__name,type,
% 0.29/0.46 subst_name: name > name > name > name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_If_001t__Agent__Oname,type,
% 0.29/0.46 if_name: $o > name > name > name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Late__Semantics_OfreeRes_OOutputR,type,
% 0.29/0.46 late_OutputR: name > name > late_freeRes ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Late__Semantics_OfreeRes_OTauR,type,
% 0.29/0.46 late_TauR: late_freeRes ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Late__Semantics_Oresidual_OBoundR,type,
% 0.29/0.46 late_BoundR: late_subject > name > pi > late_residual ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Late__Semantics_Oresidual_OFreeR,type,
% 0.29/0.46 late_FreeR: late_freeRes > pi > late_residual ).
% 0.29/0.46
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% 0.29/0.46 late_BoundOutputS: name > late_subject ).
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% 0.29/0.46 late_InputS: name > late_subject ).
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% 0.29/0.46 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Agent__Opi,type,
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% 0.29/0.46 abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
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% 0.29/0.46 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Late____Semantics__Osubject,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Oname_J_J,type,
% 0.29/0.46 fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J,type,
% 0.29/0.46 fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__OfreeRes_J_J,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__Osubject_J_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Agent__Oname,type,
% 0.29/0.46 fresh_name_name: name > name > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Agent__Opi,type,
% 0.29/0.46 fresh_name_pi: name > pi > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.46 fresh_1641682979reeRes: name > late_freeRes > $o ).
% 0.29/0.46
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% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Late____Semantics__Osubject,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_M_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J,type,
% 0.29/0.46 fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Oname_J,type,
% 0.29/0.46 fresh_453496559i_name: name > produc405342261i_name > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Opi_J,type,
% 0.29/0.46 fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__Osubject_J,type,
% 0.29/0.46 fresh_567880928ubject: name > produc691362330ubject > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Agent__Oname_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Agent__Oname_Mt__Late____Semantics__Osubject_J,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Agent__Opi_Mt__Agent__Opi_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Agent__Oname_J,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Agent__Opi_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__OfreeRes_Mt__Late____Semantics__Osubject_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Agent__Oname_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Agent__Opi_J,type,
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Late____Semantics__OfreeRes_J,type,
% 0.29/0.46 fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
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% 0.29/0.46 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Late____Semantics__Osubject_J,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J,type,
% 0.29/0.46 produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OPair_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_001t__Agent__Oname,type,
% 0.29/0.46 produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OPair_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_001t__Agent__Opi,type,
% 0.29/0.46 produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OPair_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.46 produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OPair_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_001t__Late____Semantics__Osubject,type,
% 0.29/0.46 produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Agent__Oname_001t__Late____Semantics__OfreeRes,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Agent__Oname_001t__Late____Semantics__Osubject,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Agent__Opi_001t__Agent__Opi,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__OfreeRes_001t__Agent__Oname,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__OfreeRes_001t__Agent__Opi,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__OfreeRes_001t__Late____Semantics__OfreeRes,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__OfreeRes_001t__Late____Semantics__Osubject,type,
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% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__Osubject_001t__Agent__Oname,type,
% 0.29/0.46 produc1647375838t_name: late_subject > name > produc1998742700t_name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OPair_001t__Late____Semantics__Osubject_001t__Agent__Opi,type,
% 0.29/0.46 produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
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% 0.29/0.46 thf(sy_c_Rel_Oeqvt_001t__Agent__Opi,type,
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% 0.29/0.46 thf(sy_c_Strong__Late__Sim_Osimulation,type,
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% 0.29/0.46 thf(sy_c_member_001t__Product____Type__Oprod_It__Agent__Opi_Mt__Agent__Opi_J,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_v_P,type,
% 0.29/0.46 p: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_PQ____,type,
% 0.29/0.46 pq: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_P_H____,type,
% 0.29/0.46 p2: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_Q,type,
% 0.29/0.46 q: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_Q_H____,type,
% 0.29/0.46 q2: pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_Rel,type,
% 0.29/0.46 rel: set_Pr1834926343_pi_pi ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v__092_060alpha_062____,type,
% 0.29/0.46 alpha: late_freeRes ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_aa____,type,
% 0.29/0.46 aa: name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_x,type,
% 0.29/0.46 x: name ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_xPQ____,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_v_y____,type,
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% 0.29/0.46
% 0.29/0.46 thf(sy_v_z____,type,
% 0.29/0.46 z: name ).
% 0.29/0.46
% 0.29/0.46 % Relevant facts (318)
% 0.29/0.46 thf(fact_0_cClose1_Ohyps_I3_J,axiom,
% 0.29/0.46 fresh_name_pi @ y @ p ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(3)
% 0.29/0.46 thf(fact_1_cClose1_Ohyps_I7_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(7)
% 0.29/0.46 thf(fact_2_cClose1_Ohyps_I6_J,axiom,
% 0.29/0.46 y != z ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(6)
% 0.29/0.46 thf(fact_3_assms_I1_J,axiom,
% 0.29/0.46 fresh_name_pi @ x @ p ).
% 0.29/0.46
% 0.29/0.46 % assms(1)
% 0.29/0.46 thf(fact_4_cClose1_Ohyps_I12_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(12)
% 0.29/0.46 thf(fact_5_cClose1_Ohyps_I5_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(5)
% 0.29/0.46 thf(fact_6_cClose1_Ohyps_I4_J,axiom,
% 0.29/0.46 fresh_name_pi @ y @ q ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(4)
% 0.29/0.46 thf(fact_7_cClose1_Ohyps_I11_J,axiom,
% 0.29/0.46 fresh_name_pi @ z @ p2 ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(11)
% 0.29/0.46 thf(fact_8_cClose1_Ohyps_I1_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(1)
% 0.29/0.46 thf(fact_9_cClose1_Ohyps_I10_J,axiom,
% 0.29/0.46 z != aa ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(10)
% 0.29/0.46 thf(fact_10_cClose1_Ohyps_I13_J,axiom,
% 0.29/0.46 fresh_name_name @ z @ x ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(13)
% 0.29/0.46 thf(fact_11_cClose1_Ohyps_I8_J,axiom,
% 0.29/0.46 fresh_name_pi @ z @ p ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(8)
% 0.29/0.46 thf(fact_12_cRes_Ohyps_I2_J,axiom,
% 0.29/0.46 fresh_1641682979reeRes @ x @ alpha ).
% 0.29/0.46
% 0.29/0.46 % cRes.hyps(2)
% 0.29/0.46 thf(fact_13_assms_I3_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % assms(3)
% 0.29/0.46 thf(fact_14_cClose1_Ohyps_I14_J,axiom,
% 0.29/0.46 alpha = late_TauR ).
% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(14)
% 0.29/0.46 thf(fact_15_cClose1_Ohyps_I2_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(2)
% 0.29/0.46 thf(fact_16_cClose1_Ohyps_I9_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % cClose1.hyps(9)
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% 0.29/0.46 % Free.hyps
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% 0.29/0.46 % cRes.hyps(1)
% 0.29/0.46 thf(fact_19_freeRes_Ofresh_I2_J,axiom,
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% 0.29/0.46
% 0.29/0.46 % freeRes.fresh(2)
% 0.29/0.46 thf(fact_20_pi_Ofresh_I8_J,axiom,
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% 0.29/0.46 % pi.fresh(8)
% 0.29/0.46 thf(fact_21_freshFreeDerivative_I1_J,axiom,
% 0.29/0.46 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
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% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
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% 0.29/0.46
% 0.29/0.46 % freshFreeDerivative(1)
% 0.29/0.46 thf(fact_22_resCasesF,axiom,
% 0.29/0.46 ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
% 0.29/0.46 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
% 0.29/0.46 => ( ! [P3: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X @ Alpha )
% 0.29/0.46 => ( F @ ( res @ X @ P3 ) ) ) )
% 0.29/0.46 => ( F @ XP ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resCasesF
% 0.29/0.46 thf(fact_23_resCasesF_H,axiom,
% 0.29/0.46 ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y2: name] :
% 0.29/0.46 ( ( ( res @ X @ P )
% 0.29/0.46 = ( res @ Y2 @ P4 ) )
% 0.29/0.46 => ( ( ( late_FreeR @ Alpha @ P2 )
% 0.29/0.46 = ( late_FreeR @ Alpha2 @ ( res @ Y2 @ P3 ) ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.29/0.46 => ~ ( fresh_1641682979reeRes @ Y2 @ Alpha2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resCasesF'
% 0.29/0.46 thf(fact_24_ResF,axiom,
% 0.29/0.46 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ Y @ Alpha )
% 0.29/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ResF
% 0.29/0.46 thf(fact_25_Res,axiom,
% 0.29/0.46 ! [Y: name,R: pi,S: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ Y @ R )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R @ ( res @ Y @ S ) ) @ ( res @ Y @ ( par @ R @ S ) ) ) @ rel ) ) ).
% 0.29/0.46
% 0.29/0.46 % Res
% 0.29/0.46 thf(fact_26_ScopeExt,axiom,
% 0.29/0.46 ! [Y: name,R: pi,Z: name,S: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ Y @ R )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ Z @ ( par @ R @ ( res @ Y @ S ) ) ) @ ( res @ Y @ ( res @ Z @ ( par @ R @ S ) ) ) ) @ rel ) ) ).
% 0.29/0.46
% 0.29/0.46 % ScopeExt
% 0.29/0.46 thf(fact_27_Late__Semantics_OPar1B,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Par1B
% 0.29/0.46 thf(fact_28_Late__Semantics_OPar2B,axiom,
% 0.29/0.46 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Par2B
% 0.29/0.46 thf(fact_29_Late__Semantics_Osubject_Oinject_I2_J,axiom,
% 0.29/0.46 ! [X1: name,Y1: name] :
% 0.29/0.46 ( ( ( late_BoundOutputS @ X1 )
% 0.29/0.46 = ( late_BoundOutputS @ Y1 ) )
% 0.29/0.46 = ( X1 = Y1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.subject.inject(2)
% 0.29/0.46 thf(fact_30_name__fresh,axiom,
% 0.29/0.46 ( fresh_name_name
% 0.29/0.46 = ( ^ [A2: name,B: name] : ( A2 != B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % name_fresh
% 0.29/0.46 thf(fact_31_name__exists__fresh,axiom,
% 0.29/0.46 ! [X: late_subject] :
% 0.29/0.46 ~ ! [C: name] :
% 0.29/0.46 ~ ( fresh_717452603ubject @ C @ X ) ).
% 0.29/0.46
% 0.29/0.46 % name_exists_fresh
% 0.29/0.46 thf(fact_32_name__exists__fresh,axiom,
% 0.29/0.46 ! [X: late_freeRes] :
% 0.29/0.46 ~ ! [C: name] :
% 0.29/0.46 ~ ( fresh_1641682979reeRes @ C @ X ) ).
% 0.29/0.46
% 0.29/0.46 % name_exists_fresh
% 0.29/0.46 thf(fact_33_name__exists__fresh,axiom,
% 0.29/0.46 ! [X: name] :
% 0.29/0.46 ~ ! [C: name] :
% 0.29/0.46 ~ ( fresh_name_name @ C @ X ) ).
% 0.29/0.46
% 0.29/0.46 % name_exists_fresh
% 0.29/0.46 thf(fact_34_name__exists__fresh,axiom,
% 0.29/0.46 ! [X: pi] :
% 0.29/0.46 ~ ! [C: name] :
% 0.29/0.46 ~ ( fresh_name_pi @ C @ X ) ).
% 0.29/0.46
% 0.29/0.46 % name_exists_fresh
% 0.29/0.46 thf(fact_35_pi_Oinject_I7_J,axiom,
% 0.29/0.46 ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
% 0.29/0.46 ( ( ( par @ X2 @ X1 )
% 0.29/0.46 = ( par @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(7)
% 0.29/0.46 thf(fact_36_residual_Oinject_I2_J,axiom,
% 0.29/0.46 ! [X2: late_freeRes,X1: pi,Y22: late_freeRes,Y1: pi] :
% 0.29/0.46 ( ( ( late_FreeR @ X2 @ X1 )
% 0.29/0.46 = ( late_FreeR @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.inject(2)
% 0.29/0.46 thf(fact_37_pi_Odistinct_I85_J,axiom,
% 0.29/0.46 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( par @ Pi1 @ Pi2 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(85)
% 0.29/0.46 thf(fact_38_freshRes,axiom,
% 0.29/0.46 ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % freshRes
% 0.29/0.46 thf(fact_39_residual_Oinducts,axiom,
% 0.29/0.46 ! [P: late_residual > $o,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi] : ( P @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.inducts
% 0.29/0.46 thf(fact_40_residual_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [Subject2: late_subject,Name3: name,Pi4: pi,FreeRes2: late_freeRes,Pi: pi] :
% 0.29/0.46 ( ( late_BoundR @ Subject2 @ Name3 @ Pi4 )
% 0.29/0.46 != ( late_FreeR @ FreeRes2 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.distinct(1)
% 0.29/0.46 thf(fact_41_subject_Oinducts,axiom,
% 0.29/0.46 ! [P: late_subject > $o,Subject2: late_subject] :
% 0.29/0.46 ( ! [Name2: name] : ( P @ ( late_InputS @ Name2 ) )
% 0.29/0.46 => ( ! [Name2: name] : ( P @ ( late_BoundOutputS @ Name2 ) )
% 0.29/0.46 => ( P @ Subject2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % subject.inducts
% 0.29/0.46 thf(fact_42_Late__Semantics_Osubject_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [Name3: name,Name: name] :
% 0.29/0.46 ( ( late_InputS @ Name3 )
% 0.29/0.46 != ( late_BoundOutputS @ Name ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.subject.distinct(1)
% 0.29/0.46 thf(fact_43_Par2F,axiom,
% 0.29/0.46 ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Par2F
% 0.29/0.46 thf(fact_44_Par1F,axiom,
% 0.29/0.46 ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Par1F
% 0.29/0.46 thf(fact_45_freshBoundDerivative_I2_J,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( ( Y != X )
% 0.29/0.46 => ( fresh_name_pi @ Y @ P2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freshBoundDerivative(2)
% 0.29/0.46 thf(fact_46_mem__Collect__eq,axiom,
% 0.29/0.46 ! [A: product_prod_pi_pi,P: product_prod_pi_pi > $o] :
% 0.29/0.46 ( ( member558706512_pi_pi @ A @ ( collec1051790738_pi_pi @ P ) )
% 0.29/0.46 = ( P @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 % mem_Collect_eq
% 0.29/0.46 thf(fact_47_Collect__mem__eq,axiom,
% 0.29/0.46 ! [A3: set_Pr1834926343_pi_pi] :
% 0.29/0.46 ( ( collec1051790738_pi_pi
% 0.29/0.46 @ ^ [X3: product_prod_pi_pi] : ( member558706512_pi_pi @ X3 @ A3 ) )
% 0.29/0.46 = A3 ) ).
% 0.29/0.46
% 0.29/0.46 % Collect_mem_eq
% 0.29/0.46 thf(fact_48_Collect__cong,axiom,
% 0.29/0.46 ! [P: product_prod_pi_pi > $o,Q: product_prod_pi_pi > $o] :
% 0.29/0.46 ( ! [X4: product_prod_pi_pi] :
% 0.29/0.46 ( ( P @ X4 )
% 0.29/0.46 = ( Q @ X4 ) )
% 0.29/0.46 => ( ( collec1051790738_pi_pi @ P )
% 0.29/0.46 = ( collec1051790738_pi_pi @ Q ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Collect_cong
% 0.29/0.46 thf(fact_49_residual_Ostrong__inducts,axiom,
% 0.29/0.46 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_inducts
% 0.29/0.46 thf(fact_50_residual_Ostrong__inducts,axiom,
% 0.29/0.46 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_inducts
% 0.29/0.46 thf(fact_51_residual_Ostrong__inducts,axiom,
% 0.29/0.46 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ( fresh_name_name @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_inducts
% 0.29/0.46 thf(fact_52_residual_Ostrong__inducts,axiom,
% 0.29/0.46 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_inducts
% 0.29/0.46 thf(fact_53_residual_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_induct
% 0.29/0.46 thf(fact_54_residual_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_induct
% 0.29/0.46 thf(fact_55_residual_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ( fresh_name_name @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_induct
% 0.29/0.46 thf(fact_56_residual_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 0.29/0.46 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ Name2 @ Z2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 0.29/0.46 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 0.29/0.46 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.strong_induct
% 0.29/0.46 thf(fact_57_freshFreeDerivative_I2_J,axiom,
% 0.29/0.46 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( fresh_name_pi @ Y @ P2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freshFreeDerivative(2)
% 0.29/0.46 thf(fact_58_parCasesB,axiom,
% 0.29/0.46 ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
% 0.29/0.46 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ! [P3: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
% 0.29/0.46 => ( Prop @ ( par @ P3 @ Q ) ) )
% 0.29/0.46 => ( ! [Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
% 0.29/0.46 => ( Prop @ ( par @ P @ Q3 ) ) )
% 0.29/0.46 => ( Prop @ PQ ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % parCasesB
% 0.29/0.46 thf(fact_59_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_subject,Y: late_subject] :
% 0.29/0.46 ( ( fresh_495373993ubject @ A @ ( produc1465345179ubject @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_717452603ubject @ A @ X )
% 0.29/0.46 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_60_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_subject,Y: late_freeRes] :
% 0.29/0.46 ( ( fresh_1638563217reeRes @ A @ ( produc242091907reeRes @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_717452603ubject @ A @ X )
% 0.29/0.46 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_61_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_subject,Y: name] :
% 0.29/0.46 ( ( fresh_1953561446t_name @ A @ ( produc1647375838t_name @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_717452603ubject @ A @ X )
% 0.29/0.46 & ( fresh_name_name @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_62_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_subject,Y: pi] :
% 0.29/0.46 ( ( fresh_994896692ect_pi @ A @ ( produc324947500ect_pi @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_717452603ubject @ A @ X )
% 0.29/0.46 & ( fresh_name_pi @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_63_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_freeRes,Y: late_subject] :
% 0.29/0.46 ( ( fresh_1498103185ubject @ A @ ( produc320590723ubject @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_1641682979reeRes @ A @ X )
% 0.29/0.46 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_64_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_freeRes,Y: late_freeRes] :
% 0.29/0.46 ( ( fresh_493808761reeRes @ A @ ( produc1244821099reeRes @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_1641682979reeRes @ A @ X )
% 0.29/0.46 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_65_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_freeRes,Y: name] :
% 0.29/0.46 ( ( fresh_2007541374s_name @ A @ ( produc1701355766s_name @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_1641682979reeRes @ A @ X )
% 0.29/0.46 & ( fresh_name_name @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_66_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: late_freeRes,Y: pi] :
% 0.29/0.46 ( ( fresh_1847501388Res_pi @ A @ ( produc1177552196Res_pi @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_1641682979reeRes @ A @ X )
% 0.29/0.46 & ( fresh_name_pi @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_67_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: name,Y: late_subject] :
% 0.29/0.46 ( ( fresh_820177506ubject @ A @ ( produc607574050ubject @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X )
% 0.29/0.46 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_68_fresh__prod,axiom,
% 0.29/0.46 ! [A: name,X: name,Y: late_freeRes] :
% 0.29/0.46 ( ( fresh_1963366730reeRes @ A @ ( produc1531804426reeRes @ X @ Y ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X )
% 0.29/0.46 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prod
% 0.29/0.46 thf(fact_69_transitions_OClose2,axiom,
% 0.29/0.46 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.46 => ( ( X != A )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P2 )
% 0.29/0.46 => ( ( Y != A )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ Q2 )
% 0.29/0.46 => ( ( X != Y )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Close2
% 0.29/0.46 thf(fact_70_transitions_OClose1,axiom,
% 0.29/0.46 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.46 => ( ( X != A )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q2 )
% 0.29/0.46 => ( ( Y != A )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P2 )
% 0.29/0.46 => ( ( X != Y )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Close1
% 0.29/0.46 thf(fact_71_Late__Semantics_OClose2,axiom,
% 0.29/0.46 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Close2
% 0.29/0.46 thf(fact_72_Late__Semantics_OClose1,axiom,
% 0.29/0.46 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Close1
% 0.29/0.46 thf(fact_73_Late__Semantics1_Osubject_Oinject_I1_J,axiom,
% 0.29/0.46 ! [X1: name,Y1: name] :
% 0.29/0.46 ( ( ( late_InputS @ X1 )
% 0.29/0.46 = ( late_InputS @ Y1 ) )
% 0.29/0.46 = ( X1 = Y1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics1.subject.inject(1)
% 0.29/0.46 thf(fact_74_Late__Semantics1_Osubject_Oinject_I2_J,axiom,
% 0.29/0.46 ! [X2: name,Y22: name] :
% 0.29/0.46 ( ( ( late_BoundOutputS @ X2 )
% 0.29/0.46 = ( late_BoundOutputS @ Y22 ) )
% 0.29/0.46 = ( X2 = Y22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics1.subject.inject(2)
% 0.29/0.46 thf(fact_75_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: late_subject,A4: name > noption_pi,B3: late_subject] :
% 0.29/0.46 ( ( ( produc581368530ubject @ A @ B2 )
% 0.29/0.46 = ( produc581368530ubject @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_76_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: late_freeRes,A4: name > noption_pi,B3: late_freeRes] :
% 0.29/0.46 ( ( ( produc1505598906reeRes @ A @ B2 )
% 0.29/0.46 = ( produc1505598906reeRes @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_77_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: name,A4: name > noption_pi,B3: name] :
% 0.29/0.46 ( ( ( produc540578151i_name @ A @ B2 )
% 0.29/0.46 = ( produc540578151i_name @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_78_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: pi,A4: name > noption_pi,B3: pi] :
% 0.29/0.46 ( ( ( produc1820286517_pi_pi @ A @ B2 )
% 0.29/0.46 = ( produc1820286517_pi_pi @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_79_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: name > noption_pi,A4: name > noption_pi,B3: name > noption_pi] :
% 0.29/0.46 ( ( ( produc1342893193ion_pi @ A @ B2 )
% 0.29/0.46 = ( produc1342893193ion_pi @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_80_old_Oprod_Oinject,axiom,
% 0.29/0.46 ! [A: pi,B2: pi,A4: pi,B3: pi] :
% 0.29/0.46 ( ( ( product_Pair_pi_pi @ A @ B2 )
% 0.29/0.46 = ( product_Pair_pi_pi @ A4 @ B3 ) )
% 0.29/0.46 = ( ( A = A4 )
% 0.29/0.46 & ( B2 = B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inject
% 0.29/0.46 thf(fact_81_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: name > noption_pi,X2: late_subject,Y1: name > noption_pi,Y22: late_subject] :
% 0.29/0.46 ( ( ( produc581368530ubject @ X1 @ X2 )
% 0.29/0.46 = ( produc581368530ubject @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_82_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: name > noption_pi,X2: late_freeRes,Y1: name > noption_pi,Y22: late_freeRes] :
% 0.29/0.46 ( ( ( produc1505598906reeRes @ X1 @ X2 )
% 0.29/0.46 = ( produc1505598906reeRes @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_83_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: name > noption_pi,X2: name,Y1: name > noption_pi,Y22: name] :
% 0.29/0.46 ( ( ( produc540578151i_name @ X1 @ X2 )
% 0.29/0.46 = ( produc540578151i_name @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_84_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: name > noption_pi,X2: pi,Y1: name > noption_pi,Y22: pi] :
% 0.29/0.46 ( ( ( produc1820286517_pi_pi @ X1 @ X2 )
% 0.29/0.46 = ( produc1820286517_pi_pi @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_85_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: name > noption_pi,X2: name > noption_pi,Y1: name > noption_pi,Y22: name > noption_pi] :
% 0.29/0.46 ( ( ( produc1342893193ion_pi @ X1 @ X2 )
% 0.29/0.46 = ( produc1342893193ion_pi @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_86_prod_Oinject,axiom,
% 0.29/0.46 ! [X1: pi,X2: pi,Y1: pi,Y22: pi] :
% 0.29/0.46 ( ( ( product_Pair_pi_pi @ X1 @ X2 )
% 0.29/0.46 = ( product_Pair_pi_pi @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X1 = Y1 )
% 0.29/0.46 & ( X2 = Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod.inject
% 0.29/0.46 thf(fact_87_subst__identity,axiom,
% 0.29/0.46 ! [P: pi,A: name] :
% 0.29/0.46 ( ( subs @ P @ A @ A )
% 0.29/0.46 = P ) ).
% 0.29/0.46
% 0.29/0.46 % subst_identity
% 0.29/0.46 thf(fact_88_simps_I9_J,axiom,
% 0.29/0.46 ! [X: name,C2: name,D: name,P: pi] :
% 0.29/0.46 ( ( X != C2 )
% 0.29/0.46 => ( ( X != D )
% 0.29/0.46 => ( ( subs @ ( res @ X @ P ) @ C2 @ D )
% 0.29/0.46 = ( res @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(9)
% 0.29/0.46 thf(fact_89_simps_I8_J,axiom,
% 0.29/0.46 ! [P: pi,Q: pi,C2: name,D: name] :
% 0.29/0.46 ( ( subs @ ( par @ P @ Q ) @ C2 @ D )
% 0.29/0.46 = ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(8)
% 0.29/0.46 thf(fact_90_substTrans,axiom,
% 0.29/0.46 ! [B2: name,P: pi,A: name,C2: name] :
% 0.29/0.46 ( ( fresh_name_pi @ B2 @ P )
% 0.29/0.46 => ( ( subs @ ( subs @ P @ A @ B2 ) @ B2 @ C2 )
% 0.29/0.46 = ( subs @ P @ A @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % substTrans
% 0.29/0.46 thf(fact_91_residual_Ofresh_I2_J,axiom,
% 0.29/0.46 ! [A: name,X2: late_freeRes,X1: pi] :
% 0.29/0.46 ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
% 0.29/0.46 = ( ( fresh_1641682979reeRes @ A @ X2 )
% 0.29/0.46 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.fresh(2)
% 0.29/0.46 thf(fact_92_subject_Ofresh_I2_J,axiom,
% 0.29/0.46 ! [A: name,X1: name] :
% 0.29/0.46 ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
% 0.29/0.46 = ( fresh_name_name @ A @ X1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % subject.fresh(2)
% 0.29/0.46 thf(fact_93_subject_Ofresh_I1_J,axiom,
% 0.29/0.46 ! [A: name,X1: name] :
% 0.29/0.46 ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
% 0.29/0.46 = ( fresh_name_name @ A @ X1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % subject.fresh(1)
% 0.29/0.46 thf(fact_94_forget,axiom,
% 0.29/0.46 ! [A: name,P: pi,B2: name] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ P )
% 0.29/0.46 => ( ( subs @ P @ A @ B2 )
% 0.29/0.46 = P ) ) ).
% 0.29/0.46
% 0.29/0.46 % forget
% 0.29/0.46 thf(fact_95_fresh__fact1,axiom,
% 0.29/0.46 ! [A: name,P: pi,C2: name,B2: name] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ P )
% 0.29/0.46 => ( ( A != C2 )
% 0.29/0.46 => ( fresh_name_pi @ A @ ( subs @ P @ B2 @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_fact1
% 0.29/0.46 thf(fact_96_fresh__fact2,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi] :
% 0.29/0.46 ( ( A != B2 )
% 0.29/0.46 => ( fresh_name_pi @ A @ ( subs @ P @ A @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_fact2
% 0.29/0.46 thf(fact_97_freshResidual,axiom,
% 0.29/0.46 ! [P: pi,Rs: late_residual,X: name] :
% 0.29/0.46 ( ( late_transitions @ P @ Rs )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( fresh_81631222sidual @ X @ Rs ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freshResidual
% 0.29/0.46 thf(fact_98_substRes2,axiom,
% 0.29/0.46 ! [B2: name,P: pi,A: name] :
% 0.29/0.46 ( ( fresh_name_pi @ B2 @ P )
% 0.29/0.46 => ( ( res @ A @ P )
% 0.29/0.46 = ( res @ B2 @ ( subs @ P @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % substRes2
% 0.29/0.46 thf(fact_99_Agent_OsubstRes3,axiom,
% 0.29/0.46 ! [B2: name,P: pi,A: name] :
% 0.29/0.46 ( ( fresh_name_pi @ B2 @ P )
% 0.29/0.46 => ( ( subs @ ( res @ A @ P ) @ A @ B2 )
% 0.29/0.46 = ( res @ B2 @ ( subs @ P @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Agent.substRes3
% 0.29/0.46 thf(fact_100_Late__Semantics_OResB,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Y @ A )
% 0.29/0.46 => ( ( Y != X )
% 0.29/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.ResB
% 0.29/0.46 thf(fact_101_freshBoundDerivative_I1_J,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.46 => ( fresh_717452603ubject @ Y @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freshBoundDerivative(1)
% 0.29/0.46 thf(fact_102_surj__pair,axiom,
% 0.29/0.46 ! [P5: produc691362330ubject] :
% 0.29/0.46 ? [X4: name > noption_pi,Y2: late_subject] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( produc581368530ubject @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_103_surj__pair,axiom,
% 0.29/0.46 ! [P5: produc1834551554reeRes] :
% 0.29/0.46 ? [X4: name > noption_pi,Y2: late_freeRes] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( produc1505598906reeRes @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_104_surj__pair,axiom,
% 0.29/0.46 ! [P5: produc405342261i_name] :
% 0.29/0.46 ? [X4: name > noption_pi,Y2: name] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( produc540578151i_name @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_105_surj__pair,axiom,
% 0.29/0.46 ! [P5: produc629157763_pi_pi] :
% 0.29/0.46 ? [X4: name > noption_pi,Y2: pi] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( produc1820286517_pi_pi @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_106_surj__pair,axiom,
% 0.29/0.46 ! [P5: produc1462499409ion_pi] :
% 0.29/0.46 ? [X4: name > noption_pi,Y2: name > noption_pi] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( produc1342893193ion_pi @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_107_surj__pair,axiom,
% 0.29/0.46 ! [P5: product_prod_pi_pi] :
% 0.29/0.46 ? [X4: pi,Y2: pi] :
% 0.29/0.46 ( P5
% 0.29/0.46 = ( product_Pair_pi_pi @ X4 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % surj_pair
% 0.29/0.46 thf(fact_108_prod__cases,axiom,
% 0.29/0.46 ! [P: produc691362330ubject > $o,P5: produc691362330ubject] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: late_subject] : ( P @ ( produc581368530ubject @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_109_prod__cases,axiom,
% 0.29/0.46 ! [P: produc1834551554reeRes > $o,P5: produc1834551554reeRes] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: late_freeRes] : ( P @ ( produc1505598906reeRes @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_110_prod__cases,axiom,
% 0.29/0.46 ! [P: produc405342261i_name > $o,P5: produc405342261i_name] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: name] : ( P @ ( produc540578151i_name @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_111_prod__cases,axiom,
% 0.29/0.46 ! [P: produc629157763_pi_pi > $o,P5: produc629157763_pi_pi] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: pi] : ( P @ ( produc1820286517_pi_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_112_prod__cases,axiom,
% 0.29/0.46 ! [P: produc1462499409ion_pi > $o,P5: produc1462499409ion_pi] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: name > noption_pi] : ( P @ ( produc1342893193ion_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_113_prod__cases,axiom,
% 0.29/0.46 ! [P: product_prod_pi_pi > $o,P5: product_prod_pi_pi] :
% 0.29/0.46 ( ! [A5: pi,B4: pi] : ( P @ ( product_Pair_pi_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ P5 ) ) ).
% 0.29/0.46
% 0.29/0.46 % prod_cases
% 0.29/0.46 thf(fact_114_Pair__inject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: late_subject,A4: name > noption_pi,B3: late_subject] :
% 0.29/0.46 ( ( ( produc581368530ubject @ A @ B2 )
% 0.29/0.46 = ( produc581368530ubject @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_115_Pair__inject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: late_freeRes,A4: name > noption_pi,B3: late_freeRes] :
% 0.29/0.46 ( ( ( produc1505598906reeRes @ A @ B2 )
% 0.29/0.46 = ( produc1505598906reeRes @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_116_Pair__inject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: name,A4: name > noption_pi,B3: name] :
% 0.29/0.46 ( ( ( produc540578151i_name @ A @ B2 )
% 0.29/0.46 = ( produc540578151i_name @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_117_Pair__inject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: pi,A4: name > noption_pi,B3: pi] :
% 0.29/0.46 ( ( ( produc1820286517_pi_pi @ A @ B2 )
% 0.29/0.46 = ( produc1820286517_pi_pi @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_118_Pair__inject,axiom,
% 0.29/0.46 ! [A: name > noption_pi,B2: name > noption_pi,A4: name > noption_pi,B3: name > noption_pi] :
% 0.29/0.46 ( ( ( produc1342893193ion_pi @ A @ B2 )
% 0.29/0.46 = ( produc1342893193ion_pi @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_119_Pair__inject,axiom,
% 0.29/0.46 ! [A: pi,B2: pi,A4: pi,B3: pi] :
% 0.29/0.46 ( ( ( product_Pair_pi_pi @ A @ B2 )
% 0.29/0.46 = ( product_Pair_pi_pi @ A4 @ B3 ) )
% 0.29/0.46 => ~ ( ( A = A4 )
% 0.29/0.46 => ( B2 != B3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Pair_inject
% 0.29/0.46 thf(fact_120_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: produc691362330ubject] :
% 0.29/0.46 ~ ! [A5: name > noption_pi,B4: late_subject] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( produc581368530ubject @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_121_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: produc1834551554reeRes] :
% 0.29/0.46 ~ ! [A5: name > noption_pi,B4: late_freeRes] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( produc1505598906reeRes @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_122_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: produc405342261i_name] :
% 0.29/0.46 ~ ! [A5: name > noption_pi,B4: name] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( produc540578151i_name @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_123_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: produc629157763_pi_pi] :
% 0.29/0.46 ~ ! [A5: name > noption_pi,B4: pi] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( produc1820286517_pi_pi @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_124_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: produc1462499409ion_pi] :
% 0.29/0.46 ~ ! [A5: name > noption_pi,B4: name > noption_pi] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( produc1342893193ion_pi @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_125_old_Oprod_Oexhaust,axiom,
% 0.29/0.46 ! [Y: product_prod_pi_pi] :
% 0.29/0.46 ~ ! [A5: pi,B4: pi] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( product_Pair_pi_pi @ A5 @ B4 ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.exhaust
% 0.29/0.46 thf(fact_126_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: produc691362330ubject > $o,Prod: produc691362330ubject] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: late_subject] : ( P @ ( produc581368530ubject @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_127_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: produc1834551554reeRes > $o,Prod: produc1834551554reeRes] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: late_freeRes] : ( P @ ( produc1505598906reeRes @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_128_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: produc405342261i_name > $o,Prod: produc405342261i_name] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: name] : ( P @ ( produc540578151i_name @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_129_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: produc629157763_pi_pi > $o,Prod: produc629157763_pi_pi] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: pi] : ( P @ ( produc1820286517_pi_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_130_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: produc1462499409ion_pi > $o,Prod: produc1462499409ion_pi] :
% 0.29/0.46 ( ! [A5: name > noption_pi,B4: name > noption_pi] : ( P @ ( produc1342893193ion_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_131_old_Oprod_Oinducts,axiom,
% 0.29/0.46 ! [P: product_prod_pi_pi > $o,Prod: product_prod_pi_pi] :
% 0.29/0.46 ( ! [A5: pi,B4: pi] : ( P @ ( product_Pair_pi_pi @ A5 @ B4 ) )
% 0.29/0.46 => ( P @ Prod ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.prod.inducts
% 0.29/0.46 thf(fact_132_transitions_OResB,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Y @ A )
% 0.29/0.46 => ( ( Y != X )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.ResB
% 0.29/0.46 thf(fact_133_parCasesB_H,axiom,
% 0.29/0.46 ! [P: pi,Q: pi,B2: late_subject,Y: name,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B2 @ Y @ P2 ) )
% 0.29/0.46 => ( ! [P4: pi,A5: late_subject,X4: name,P3: pi,Q4: pi] :
% 0.29/0.46 ( ( ( par @ P @ Q )
% 0.29/0.46 = ( par @ P4 @ Q4 ) )
% 0.29/0.46 => ( ( ( late_BoundR @ B2 @ Y @ P2 )
% 0.29/0.46 = ( late_BoundR @ A5 @ X4 @ ( par @ P3 @ Q4 ) ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P4 )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q4 )
% 0.29/0.46 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) )
% 0.29/0.46 => ~ ! [Q4: pi,A5: late_subject,X4: name,Q3: pi,P4: pi] :
% 0.29/0.46 ( ( ( par @ P @ Q )
% 0.29/0.46 = ( par @ P4 @ Q4 ) )
% 0.29/0.46 => ( ( ( late_BoundR @ B2 @ Y @ P2 )
% 0.29/0.46 = ( late_BoundR @ A5 @ X4 @ ( par @ P4 @ Q3 ) ) )
% 0.29/0.46 => ( ( late_transitions @ Q4 @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P4 )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q4 )
% 0.29/0.46 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % parCasesB'
% 0.29/0.46 thf(fact_134_transitions_OPar1B,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Par1B
% 0.29/0.46 thf(fact_135_transitions_OPar2B,axiom,
% 0.29/0.46 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Par2B
% 0.29/0.46 thf(fact_136_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: late_subject] :
% 0.29/0.46 ( ( fresh_567880928ubject @ A @ ( produc581368530ubject @ X @ Y ) )
% 0.29/0.46 => ( fresh_717452603ubject @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_137_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: late_freeRes] :
% 0.29/0.46 ( ( fresh_1711070152reeRes @ A @ ( produc1505598906reeRes @ X @ Y ) )
% 0.29/0.46 => ( fresh_1641682979reeRes @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_138_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: name] :
% 0.29/0.46 ( ( fresh_453496559i_name @ A @ ( produc540578151i_name @ X @ Y ) )
% 0.29/0.46 => ( fresh_name_name @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_139_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: pi] :
% 0.29/0.46 ( ( fresh_253309757_pi_pi @ A @ ( produc1820286517_pi_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_name_pi @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_140_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: name > noption_pi] :
% 0.29/0.46 ( ( fresh_225680151ion_pi @ A @ ( produc1342893193ion_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_141_fresh__prodD_I2_J,axiom,
% 0.29/0.46 ! [A: name,X: pi,Y: pi] :
% 0.29/0.46 ( ( fresh_1627595501_pi_pi @ A @ ( product_Pair_pi_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_name_pi @ A @ Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(2)
% 0.29/0.46 thf(fact_142_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: late_subject] :
% 0.29/0.46 ( ( fresh_567880928ubject @ A @ ( produc581368530ubject @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_143_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: late_freeRes] :
% 0.29/0.46 ( ( fresh_1711070152reeRes @ A @ ( produc1505598906reeRes @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_144_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: name] :
% 0.29/0.46 ( ( fresh_453496559i_name @ A @ ( produc540578151i_name @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_145_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: pi] :
% 0.29/0.46 ( ( fresh_253309757_pi_pi @ A @ ( produc1820286517_pi_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_146_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: name > noption_pi,Y: name > noption_pi] :
% 0.29/0.46 ( ( fresh_225680151ion_pi @ A @ ( produc1342893193ion_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_147_fresh__prodD_I1_J,axiom,
% 0.29/0.46 ! [A: name,X: pi,Y: pi] :
% 0.29/0.46 ( ( fresh_1627595501_pi_pi @ A @ ( product_Pair_pi_pi @ X @ Y ) )
% 0.29/0.46 => ( fresh_name_pi @ A @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % fresh_prodD(1)
% 0.29/0.46 thf(fact_148_Late__Semantics1_Osubject_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [X1: name,X2: name] :
% 0.29/0.46 ( ( late_InputS @ X1 )
% 0.29/0.46 != ( late_BoundOutputS @ X2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics1.subject.distinct(1)
% 0.29/0.46 thf(fact_149_subject_Oexhaust,axiom,
% 0.29/0.46 ! [Y: late_subject] :
% 0.29/0.46 ( ! [X12: name] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( late_InputS @ X12 ) )
% 0.29/0.46 => ~ ! [X22: name] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( late_BoundOutputS @ X22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % subject.exhaust
% 0.29/0.46 thf(fact_150_resCases_H,axiom,
% 0.29/0.46 ! [X: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( res @ X @ P ) @ Rs )
% 0.29/0.46 => ( ! [P4: pi,A5: name,B4: name] :
% 0.29/0.46 ( ( ( res @ X @ P )
% 0.29/0.46 = ( res @ B4 @ P4 ) )
% 0.29/0.46 => ! [P3: pi] :
% 0.29/0.46 ( ( Rs
% 0.29/0.46 = ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ B4 @ P3 ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P3 ) )
% 0.29/0.46 => ( A5 = B4 ) ) ) )
% 0.29/0.46 => ( ! [P4: pi,A5: late_subject,X4: name,P3: pi,Y2: name] :
% 0.29/0.46 ( ( ( res @ X @ P )
% 0.29/0.46 = ( res @ Y2 @ P4 ) )
% 0.29/0.46 => ( ( Rs
% 0.29/0.46 = ( late_BoundR @ A5 @ X4 @ ( res @ Y2 @ P3 ) ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Y2 @ A5 )
% 0.29/0.46 => ( ( Y2 != X4 )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P4 )
% 0.29/0.46 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) )
% 0.29/0.46 => ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y2: name] :
% 0.29/0.46 ( ( ( res @ X @ P )
% 0.29/0.46 = ( res @ Y2 @ P4 ) )
% 0.29/0.46 => ( ( Rs
% 0.29/0.46 = ( late_FreeR @ Alpha2 @ ( res @ Y2 @ P3 ) ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.29/0.46 => ~ ( fresh_1641682979reeRes @ Y2 @ Alpha2 ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resCases'
% 0.29/0.46 thf(fact_151_transitions_OComm1,axiom,
% 0.29/0.46 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B2: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( X != A )
% 0.29/0.46 => ( ( X != B2 )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q2 )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B2 ) @ Q2 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Comm1
% 0.29/0.46 thf(fact_152_transitions_OComm2,axiom,
% 0.29/0.46 ! [P: pi,A: name,B2: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.46 => ( ( X != A )
% 0.29/0.46 => ( ( X != B2 )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P2 )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Comm2
% 0.29/0.46 thf(fact_153_Late__Semantics_OComm1,axiom,
% 0.29/0.46 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B2: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ Q2 ) )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B2 ) @ Q2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Comm1
% 0.29/0.46 thf(fact_154_Late__Semantics_OComm2,axiom,
% 0.29/0.46 ! [P: pi,A: name,B2: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B2 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Comm2
% 0.29/0.46 thf(fact_155_resCasesB_H,axiom,
% 0.29/0.46 ! [X5: name,P: pi,A: late_subject,Y3: name,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y3 @ P2 ) )
% 0.29/0.46 => ( ! [P4: pi,A5: name,B4: name] :
% 0.29/0.46 ( ( ( res @ X5 @ P )
% 0.29/0.46 = ( res @ B4 @ P4 ) )
% 0.29/0.46 => ! [P3: pi] :
% 0.29/0.46 ( ( ( late_BoundR @ A @ Y3 @ P2 )
% 0.29/0.46 = ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ B4 @ P3 ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P3 ) )
% 0.29/0.46 => ( A5 = B4 ) ) ) )
% 0.29/0.46 => ~ ! [P4: pi,A5: late_subject,X4: name,P3: pi,Y2: name] :
% 0.29/0.46 ( ( ( res @ X5 @ P )
% 0.29/0.46 = ( res @ Y2 @ P4 ) )
% 0.29/0.46 => ( ( ( late_BoundR @ A @ Y3 @ P2 )
% 0.29/0.46 = ( late_BoundR @ A5 @ X4 @ ( res @ Y2 @ P3 ) ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Y2 @ A5 )
% 0.29/0.46 => ( ( Y2 != X4 )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P4 )
% 0.29/0.46 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resCasesB'
% 0.29/0.46 thf(fact_156_Late__Semantics1_OfreeRes_Oinject,axiom,
% 0.29/0.46 ! [X11: name,X122: name,Y11: name,Y12: name] :
% 0.29/0.46 ( ( ( late_OutputR @ X11 @ X122 )
% 0.29/0.46 = ( late_OutputR @ Y11 @ Y12 ) )
% 0.29/0.46 = ( ( X11 = Y11 )
% 0.29/0.46 & ( X122 = Y12 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics1.freeRes.inject
% 0.29/0.46 thf(fact_157_Late__Semantics_OfreeRes_Oinject,axiom,
% 0.29/0.46 ! [X2: name,X1: name,Y22: name,Y1: name] :
% 0.29/0.46 ( ( ( late_OutputR @ X2 @ X1 )
% 0.29/0.46 = ( late_OutputR @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.freeRes.inject
% 0.29/0.46 thf(fact_158_freeRes_Ofresh_I1_J,axiom,
% 0.29/0.46 ! [A: name,X2: name,X1: name] :
% 0.29/0.46 ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X2 )
% 0.29/0.46 & ( fresh_name_name @ A @ X1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freeRes.fresh(1)
% 0.29/0.46 thf(fact_159_freeRes_Oinducts,axiom,
% 0.29/0.46 ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
% 0.29/0.46 ( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
% 0.29/0.46 => ( ( P @ late_TauR )
% 0.29/0.46 => ( P @ FreeRes3 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % freeRes.inducts
% 0.29/0.46 thf(fact_160_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name] :
% 0.29/0.46 ( ( late_OutputR @ Name12 @ Name23 )
% 0.29/0.46 != late_TauR ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.freeRes.distinct(1)
% 0.29/0.46 thf(fact_161_freeRes_Oexhaust,axiom,
% 0.29/0.46 ! [Y: late_freeRes] :
% 0.29/0.46 ( ! [X112: name,X123: name] :
% 0.29/0.46 ( Y
% 0.29/0.46 != ( late_OutputR @ X112 @ X123 ) )
% 0.29/0.46 => ( Y = late_TauR ) ) ).
% 0.29/0.46
% 0.29/0.46 % freeRes.exhaust
% 0.29/0.46 thf(fact_162_Late__Semantics1_OfreeRes_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [X11: name,X122: name] :
% 0.29/0.46 ( ( late_OutputR @ X11 @ X122 )
% 0.29/0.46 != late_TauR ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics1.freeRes.distinct(1)
% 0.29/0.46 thf(fact_163_Open,axiom,
% 0.29/0.46 ! [P: pi,A: name,B2: name,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 0.29/0.46 => ( ( A != B2 )
% 0.29/0.46 => ( late_transitions @ ( res @ B2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B2 @ P2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Open
% 0.29/0.46 thf(fact_164_resSimCases,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: late_subject] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [Q3: pi,A5: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 0.29/0.46 => ( ( A5 != X )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A5 )
% 0.29/0.46 => ( ( X != Y2 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ Y2 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resSimCases
% 0.29/0.46 thf(fact_165_resSimCases,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: late_freeRes] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [Q3: pi,A5: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 0.29/0.46 => ( ( A5 != X )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A5 )
% 0.29/0.46 => ( ( X != Y2 )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ Y2 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resSimCases
% 0.29/0.46 thf(fact_166_resSimCases,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: name] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [Q3: pi,A5: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 0.29/0.46 => ( ( A5 != X )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A5 )
% 0.29/0.46 => ( ( X != Y2 )
% 0.29/0.46 => ( ( fresh_name_name @ Y2 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resSimCases
% 0.29/0.46 thf(fact_167_resSimCases,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: pi] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [Q3: pi,A5: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 0.29/0.46 => ( ( A5 != X )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X @ A5 )
% 0.29/0.46 => ( ( X != Y2 )
% 0.29/0.46 => ( ( fresh_name_pi @ Y2 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 0.29/0.46 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % resSimCases
% 0.29/0.46 thf(fact_168_simE_I1_J,axiom,
% 0.29/0.46 ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject,X: name,Q2: pi] :
% 0.29/0.46 ( ( strong743114133lation @ P @ Rel @ Q )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.46 => ? [P3: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
% 0.29/0.46 & ( strong2129052853vative @ P3 @ Q2 @ A @ X @ Rel ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simE(1)
% 0.29/0.46 thf(fact_169_simE_I2_J,axiom,
% 0.29/0.46 ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Alpha: late_freeRes,Q2: pi] :
% 0.29/0.46 ( ( strong743114133lation @ P @ Rel @ Q )
% 0.29/0.46 => ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.29/0.46 => ? [P3: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P3 @ Q2 ) @ Rel ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simE(2)
% 0.29/0.46 thf(fact_170_simCases,axiom,
% 0.29/0.46 ! [Q: pi,P: pi,Rel: set_Pr1834926343_pi_pi] :
% 0.29/0.46 ( ! [A5: late_subject,Y2: name,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ Y2 @ P )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ Y2 @ Rel ) ) ) )
% 0.29/0.46 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simCases
% 0.29/0.46 thf(fact_171_simulation__def,axiom,
% 0.29/0.46 ( strong743114133lation
% 0.29/0.46 = ( ^ [P7: pi,Rel2: set_Pr1834926343_pi_pi,Q5: pi] :
% 0.29/0.46 ( ! [A2: late_subject,X3: name,Q6: pi] :
% 0.29/0.46 ( ( ( late_transitions @ Q5 @ ( late_BoundR @ A2 @ X3 @ Q6 ) )
% 0.29/0.46 & ( fresh_name_pi @ X3 @ P7 ) )
% 0.29/0.46 => ? [P8: pi] :
% 0.29/0.46 ( ( late_transitions @ P7 @ ( late_BoundR @ A2 @ X3 @ P8 ) )
% 0.29/0.46 & ( strong2129052853vative @ P8 @ Q6 @ A2 @ X3 @ Rel2 ) ) )
% 0.29/0.46 & ! [Alpha3: late_freeRes,Q6: pi] :
% 0.29/0.46 ( ( late_transitions @ Q5 @ ( late_FreeR @ Alpha3 @ Q6 ) )
% 0.29/0.46 => ? [P8: pi] :
% 0.29/0.46 ( ( late_transitions @ P7 @ ( late_FreeR @ Alpha3 @ P8 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P8 @ Q6 ) @ Rel2 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simulation_def
% 0.29/0.46 thf(fact_172_parSym,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi] :
% 0.29/0.46 ( ! [R2: pi,S2: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R2 @ S2 ) @ ( par @ S2 @ R2 ) ) @ Rel )
% 0.29/0.46 => ( ! [R2: pi,S2: pi,X4: name] :
% 0.29/0.46 ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ R2 @ S2 ) @ Rel )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ R2 ) @ ( res @ X4 @ S2 ) ) @ Rel ) )
% 0.29/0.46 => ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % parSym
% 0.29/0.46 thf(fact_173_simCasesCont,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: late_subject] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X4 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 0.29/0.46 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simCasesCont
% 0.29/0.46 thf(fact_174_simCasesCont,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: late_freeRes] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 0.29/0.46 => ( ( fresh_1641682979reeRes @ X4 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 0.29/0.46 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simCasesCont
% 0.29/0.46 thf(fact_175_simCasesCont,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: name] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 0.29/0.46 => ( ( fresh_name_name @ X4 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 0.29/0.46 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simCasesCont
% 0.29/0.46 thf(fact_176_simCasesCont,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: pi] :
% 0.29/0.46 ( ( eqvt_pi @ Rel )
% 0.29/0.46 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ P )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ Q )
% 0.29/0.46 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 0.29/0.46 => ( ( fresh_name_pi @ X4 @ C3 )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 0.29/0.46 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 0.29/0.46 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 0.29/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.29/0.46 => ? [P6: pi] :
% 0.29/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 0.29/0.46 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simCasesCont
% 0.29/0.46 thf(fact_177_parAssocLeft,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi,R: pi] :
% 0.29/0.46 ( ! [S2: pi,T: pi,U: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ S2 @ T ) @ U ) @ ( par @ S2 @ ( par @ T @ U ) ) ) @ Rel )
% 0.29/0.46 => ( ! [S2: pi,T: pi,X4: name] :
% 0.29/0.46 ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ S2 @ T ) @ Rel )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ S2 ) @ ( res @ X4 @ T ) ) @ Rel ) )
% 0.29/0.46 => ( ! [S2: pi,T: pi,U: pi,X4: name] :
% 0.29/0.46 ( ( fresh_name_pi @ X4 @ S2 )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ ( par @ ( par @ S2 @ T ) @ U ) ) @ ( par @ S2 @ ( res @ X4 @ ( par @ T @ U ) ) ) ) @ Rel ) )
% 0.29/0.46 => ( ! [S2: pi,T: pi,U: pi,X4: name] :
% 0.29/0.46 ( ( fresh_name_pi @ X4 @ U )
% 0.29/0.46 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ X4 @ ( par @ S2 @ T ) ) @ U ) @ ( res @ X4 @ ( par @ S2 @ ( par @ T @ U ) ) ) ) @ Rel ) )
% 0.29/0.46 => ( strong743114133lation @ ( par @ ( par @ P @ Q ) @ R ) @ Rel @ ( par @ P @ ( par @ Q @ R ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % parAssocLeft
% 0.29/0.46 thf(fact_178_resTauOutputTrans,axiom,
% 0.29/0.46 ! [X: name,P: pi,A: name,B2: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resTauOutputTrans
% 0.29/0.46 thf(fact_179_resOutputTauTrans,axiom,
% 0.29/0.46 ! [X: name,A: name,B2: name,P: pi,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B2 @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resOutputTauTrans
% 0.29/0.46 thf(fact_180_resOutputInputTrans,axiom,
% 0.29/0.46 ! [X: name,A: name,B2: name,P: pi,C2: name,Y: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B2 @ P ) ) @ ( late_BoundR @ ( late_InputS @ C2 ) @ Y @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resOutputInputTrans
% 0.29/0.46 thf(fact_181_resOutputOutputTrans,axiom,
% 0.29/0.46 ! [X: name,A: name,P: pi,B2: name,Y: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( output @ A @ X @ P ) ) @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resOutputOutputTrans
% 0.29/0.46 thf(fact_182_pi_Ofresh_I3_J,axiom,
% 0.29/0.46 ! [A: name,X1: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( tau @ X1 ) )
% 0.29/0.46 = ( fresh_name_pi @ A @ X1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(3)
% 0.29/0.46 thf(fact_183_simps_I2_J,axiom,
% 0.29/0.46 ! [P: pi,C2: name,D: name] :
% 0.29/0.46 ( ( subs @ ( tau @ P ) @ C2 @ D )
% 0.29/0.46 = ( tau @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(2)
% 0.29/0.46 thf(fact_184_pi_Ofresh_I2_J,axiom,
% 0.29/0.46 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( output @ X32 @ X2 @ X1 ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.46 & ( fresh_name_name @ A @ X2 )
% 0.29/0.46 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(2)
% 0.29/0.46 thf(fact_185_pi_Oinject_I2_J,axiom,
% 0.29/0.46 ! [X1: pi,Y1: pi] :
% 0.29/0.46 ( ( ( tau @ X1 )
% 0.29/0.46 = ( tau @ Y1 ) )
% 0.29/0.46 = ( X1 = Y1 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(2)
% 0.29/0.46 thf(fact_186_pi_Oinject_I1_J,axiom,
% 0.29/0.46 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 0.29/0.46 ( ( ( output @ X32 @ X2 @ X1 )
% 0.29/0.46 = ( output @ Y32 @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X32 = Y32 )
% 0.29/0.46 & ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(1)
% 0.29/0.46 thf(fact_187_pi_Odistinct_I19_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( tau @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(19)
% 0.29/0.46 thf(fact_188_pi_Odistinct_I31_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(31)
% 0.29/0.46 thf(fact_189_pi_Odistinct_I29_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(29)
% 0.29/0.46 thf(fact_190_pi_Odistinct_I45_J,axiom,
% 0.29/0.46 ! [Pi4: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( tau @ Pi4 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(45)
% 0.29/0.46 thf(fact_191_pi_Odistinct_I43_J,axiom,
% 0.29/0.46 ! [Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( ( tau @ Pi4 )
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(43)
% 0.29/0.46 thf(fact_192_resTrans_I1_J,axiom,
% 0.29/0.46 ! [X: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( output @ X @ B2 @ P ) ) @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % resTrans(1)
% 0.29/0.46 thf(fact_193_outputBoundTrans,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,C2: late_subject,X: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_BoundR @ C2 @ X @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputBoundTrans
% 0.29/0.46 thf(fact_194_tauBoundTrans,axiom,
% 0.29/0.46 ! [P: pi,A: late_subject,X: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % tauBoundTrans
% 0.29/0.46 thf(fact_195_resTauBoundTrans,axiom,
% 0.29/0.46 ! [X: name,P: pi,A: late_subject,Y: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_BoundR @ A @ Y @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resTauBoundTrans
% 0.29/0.46 thf(fact_196_Output,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi] : ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % Output
% 0.29/0.46 thf(fact_197_outputIneqTrans,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,C2: name,D: name,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ C2 @ D ) @ P2 ) )
% 0.29/0.46 => ~ ( ( A != C2 )
% 0.29/0.46 | ( B2 != D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputIneqTrans
% 0.29/0.46 thf(fact_198_outputCases_H,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ~ ! [A5: name,B4: name,P4: pi] :
% 0.29/0.46 ( ( ( A = A5 )
% 0.29/0.46 & ( B2 = B4 )
% 0.29/0.46 & ( P = P4 ) )
% 0.29/0.46 => ( Rs
% 0.29/0.46 != ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P4 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputCases'
% 0.29/0.46 thf(fact_199_outputCases,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 0.29/0.46 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ( ( ( Alpha
% 0.29/0.46 = ( late_OutputR @ A @ B2 ) )
% 0.29/0.46 => ( ( P = P2 )
% 0.29/0.46 => ( Prop @ ( late_OutputR @ A @ B2 ) @ P ) ) )
% 0.29/0.46 => ( Prop @ Alpha @ P2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputCases
% 0.29/0.46 thf(fact_200_outputTauTrans,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputTauTrans
% 0.29/0.46 thf(fact_201_tauOutputTrans,axiom,
% 0.29/0.46 ! [P: pi,A: name,B2: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % tauOutputTrans
% 0.29/0.46 thf(fact_202_Tau,axiom,
% 0.29/0.46 ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % Tau
% 0.29/0.46 thf(fact_203_tauCases_H,axiom,
% 0.29/0.46 ! [P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( tau @ P ) @ Rs )
% 0.29/0.46 => ~ ! [P4: pi] :
% 0.29/0.46 ( ( ( tau @ P )
% 0.29/0.46 = ( tau @ P4 ) )
% 0.29/0.46 => ( Rs
% 0.29/0.46 != ( late_FreeR @ late_TauR @ P4 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % tauCases'
% 0.29/0.46 thf(fact_204_tauCases,axiom,
% 0.29/0.46 ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 0.29/0.46 ( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ( ( ( Alpha = late_TauR )
% 0.29/0.46 => ( ( P = P2 )
% 0.29/0.46 => ( Prop @ late_TauR @ P ) ) )
% 0.29/0.46 => ( Prop @ Alpha @ P2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % tauCases
% 0.29/0.46 thf(fact_205_outputFreshTrans,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.46 => ~ ( ( fresh_1641682979reeRes @ A @ Alpha )
% 0.29/0.46 | ( fresh_1641682979reeRes @ B2 @ Alpha ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % outputFreshTrans
% 0.29/0.46 thf(fact_206_resInputBoundOutputTrans,axiom,
% 0.29/0.46 ! [X: name,A: name,Y: name,P: pi,B2: name,Z: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Z @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resInputBoundOutputTrans
% 0.29/0.46 thf(fact_207_residual_Ofresh_I1_J,axiom,
% 0.29/0.46 ! [A: name,X32: late_subject,X1: name,X2: pi] :
% 0.29/0.46 ( ( fresh_81631222sidual @ A @ ( late_BoundR @ X32 @ X1 @ X2 ) )
% 0.29/0.46 = ( ( fresh_717452603ubject @ A @ X32 )
% 0.29/0.46 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.fresh(1)
% 0.29/0.46 thf(fact_208_simps_I3_J,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 0.29/0.46 ( ( subs @ ( output @ A @ B2 @ P ) @ C2 @ D )
% 0.29/0.46 = ( output @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(3)
% 0.29/0.46 thf(fact_209_simps_I4_J,axiom,
% 0.29/0.46 ! [X: name,A: name,C2: name,D: name,P: pi] :
% 0.29/0.46 ( ( X != A )
% 0.29/0.46 => ( ( X != C2 )
% 0.29/0.46 => ( ( X != D )
% 0.29/0.46 => ( ( subs @ ( input @ A @ X @ P ) @ C2 @ D )
% 0.29/0.46 = ( input @ ( subst_name @ A @ C2 @ D ) @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(4)
% 0.29/0.46 thf(fact_210_substInput,axiom,
% 0.29/0.46 ! [X: name,B2: name,C2: name,A: name,P: pi] :
% 0.29/0.46 ( ( X != B2 )
% 0.29/0.46 => ( ( X != C2 )
% 0.29/0.46 => ( ( subs @ ( input @ A @ X @ P ) @ B2 @ C2 )
% 0.29/0.46 = ( input @ ( subst_name @ A @ B2 @ C2 ) @ X @ ( subs @ P @ B2 @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % substInput
% 0.29/0.46 thf(fact_211_pi_Ofresh_I9_J,axiom,
% 0.29/0.46 ! [A: name,X1: name,X2: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
% 0.29/0.46 = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(9)
% 0.29/0.46 thf(fact_212_pi_Ofresh_I4_J,axiom,
% 0.29/0.46 ! [A: name,X32: name,X1: name,X2: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( input @ X32 @ X1 @ X2 ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.46 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(4)
% 0.29/0.46 thf(fact_213_pi_Odistinct_I57_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(57)
% 0.29/0.46 thf(fact_214_pi_Odistinct_I55_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(55)
% 0.29/0.46 thf(fact_215_pi_Oinject_I8_J,axiom,
% 0.29/0.46 ! [X1: name,X2: pi,Y1: name,Y22: pi] :
% 0.29/0.46 ( ( ( res @ X1 @ X2 )
% 0.29/0.46 = ( res @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.46 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(8)
% 0.29/0.46 thf(fact_216_subst__name__def,axiom,
% 0.29/0.46 ( subst_name
% 0.29/0.46 = ( ^ [A2: name,B: name,C4: name] : ( if_name @ ( A2 = B ) @ C4 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % subst_name_def
% 0.29/0.46 thf(fact_217_pi_Oinject_I3_J,axiom,
% 0.29/0.46 ! [X32: name,X1: name,X2: pi,Y32: name,Y1: name,Y22: pi] :
% 0.29/0.46 ( ( ( input @ X32 @ X1 @ X2 )
% 0.29/0.46 = ( input @ Y32 @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X32 = Y32 )
% 0.29/0.46 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.46 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(3)
% 0.29/0.46 thf(fact_218_abs__fun__eq1,axiom,
% 0.29/0.46 ! [A: name,X: name,Y: name] :
% 0.29/0.46 ( ( ( abs_fun_name_name @ A @ X )
% 0.29/0.46 = ( abs_fun_name_name @ A @ Y ) )
% 0.29/0.46 = ( X = Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fun_eq1
% 0.29/0.46 thf(fact_219_abs__fun__eq1,axiom,
% 0.29/0.46 ! [A: name,X: late_freeRes,Y: late_freeRes] :
% 0.29/0.46 ( ( ( abs_fu681348580reeRes @ A @ X )
% 0.29/0.46 = ( abs_fu681348580reeRes @ A @ Y ) )
% 0.29/0.46 = ( X = Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fun_eq1
% 0.29/0.46 thf(fact_220_abs__fun__eq1,axiom,
% 0.29/0.46 ! [A: name,X: late_subject,Y: late_subject] :
% 0.29/0.46 ( ( ( abs_fu1904601852ubject @ A @ X )
% 0.29/0.46 = ( abs_fu1904601852ubject @ A @ Y ) )
% 0.29/0.46 = ( X = Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fun_eq1
% 0.29/0.46 thf(fact_221_abs__fun__eq1,axiom,
% 0.29/0.46 ! [A: name,X: pi,Y: pi] :
% 0.29/0.46 ( ( ( abs_fun_name_pi @ A @ X )
% 0.29/0.46 = ( abs_fun_name_pi @ A @ Y ) )
% 0.29/0.46 = ( X = Y ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fun_eq1
% 0.29/0.46 thf(fact_222_name__fresh__abs,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: late_subject] :
% 0.29/0.46 ( ( fresh_728038529ubject @ B2 @ ( abs_fu1904601852ubject @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_717452603ubject @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % name_fresh_abs
% 0.29/0.46 thf(fact_223_name__fresh__abs,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: late_freeRes] :
% 0.29/0.46 ( ( fresh_785364841reeRes @ B2 @ ( abs_fu681348580reeRes @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_1641682979reeRes @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % name_fresh_abs
% 0.29/0.46 thf(fact_224_name__fresh__abs,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: name] :
% 0.29/0.46 ( ( fresh_1093033124n_name @ B2 @ ( abs_fun_name_name @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_name_name @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % name_fresh_abs
% 0.29/0.46 thf(fact_225_name__fresh__abs,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: pi] :
% 0.29/0.46 ( ( fresh_543891186ion_pi @ B2 @ ( abs_fun_name_pi @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_name_pi @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % name_fresh_abs
% 0.29/0.46 thf(fact_226_abs__fresh_I1_J,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: late_subject] :
% 0.29/0.46 ( ( fresh_728038529ubject @ B2 @ ( abs_fu1904601852ubject @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_717452603ubject @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fresh(1)
% 0.29/0.46 thf(fact_227_abs__fresh_I1_J,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: late_freeRes] :
% 0.29/0.46 ( ( fresh_785364841reeRes @ B2 @ ( abs_fu681348580reeRes @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_1641682979reeRes @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fresh(1)
% 0.29/0.46 thf(fact_228_abs__fresh_I1_J,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: name] :
% 0.29/0.46 ( ( fresh_1093033124n_name @ B2 @ ( abs_fun_name_name @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_name_name @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fresh(1)
% 0.29/0.46 thf(fact_229_abs__fresh_I1_J,axiom,
% 0.29/0.46 ! [B2: name,A: name,X: pi] :
% 0.29/0.46 ( ( fresh_543891186ion_pi @ B2 @ ( abs_fun_name_pi @ A @ X ) )
% 0.29/0.46 = ( ( B2 = A )
% 0.29/0.46 | ( fresh_name_pi @ B2 @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % abs_fresh(1)
% 0.29/0.46 thf(fact_230_residual_Oinject_I1_J,axiom,
% 0.29/0.46 ! [X32: late_subject,X1: name,X2: pi,Y32: late_subject,Y1: name,Y22: pi] :
% 0.29/0.46 ( ( ( late_BoundR @ X32 @ X1 @ X2 )
% 0.29/0.46 = ( late_BoundR @ Y32 @ Y1 @ Y22 ) )
% 0.29/0.46 = ( ( X32 = Y32 )
% 0.29/0.46 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.46 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % residual.inject(1)
% 0.29/0.46 thf(fact_231_pi_Odistinct_I21_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(21)
% 0.29/0.46 thf(fact_232_pi_Odistinct_I35_J,axiom,
% 0.29/0.46 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( tau @ Pi4 )
% 0.29/0.46 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(35)
% 0.29/0.46 thf(fact_233_inputCases_H,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( input @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ~ ! [X4: name,A5: name,P4: pi] :
% 0.29/0.46 ( ( ( A = A5 )
% 0.29/0.46 & ( ( abs_fun_name_pi @ B2 @ P )
% 0.29/0.46 = ( abs_fun_name_pi @ X4 @ P4 ) ) )
% 0.29/0.46 => ( ( Rs
% 0.29/0.46 = ( late_BoundR @ ( late_InputS @ A5 ) @ X4 @ P4 ) )
% 0.29/0.46 => ( X4 = A5 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % inputCases'
% 0.29/0.46 thf(fact_234_resTrans_I2_J,axiom,
% 0.29/0.46 ! [X: name,Y: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % resTrans(2)
% 0.29/0.46 thf(fact_235_inputFreeTrans,axiom,
% 0.29/0.46 ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % inputFreeTrans
% 0.29/0.46 thf(fact_236_resInputFreeTrans,axiom,
% 0.29/0.46 ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % resInputFreeTrans
% 0.29/0.46 thf(fact_237_Late__Semantics_OInput,axiom,
% 0.29/0.46 ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % Late_Semantics.Input
% 0.29/0.46 thf(fact_238_transitions_OInput,axiom,
% 0.29/0.46 ! [X: name,A: name,P: pi] :
% 0.29/0.46 ( ( X != A )
% 0.29/0.46 => ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % transitions.Input
% 0.29/0.46 thf(fact_239_inputBoundOutputTrans,axiom,
% 0.29/0.46 ! [A: name,X: name,P: pi,B2: name,Y: name,P2: pi] :
% 0.29/0.46 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Y @ P2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % inputBoundOutputTrans
% 0.29/0.46 thf(fact_240_inputIneqTrans,axiom,
% 0.29/0.46 ! [A: name,X: name,P: pi,B2: late_subject,Y: name,P2: pi] :
% 0.29/0.46 ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B2 @ Y @ P2 ) )
% 0.29/0.46 => ~ ( fresh_717452603ubject @ A @ B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % inputIneqTrans
% 0.29/0.46 thf(fact_241_parZeroRight,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 0.29/0.46 ( ! [Q4: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ Q4 @ ( par @ Q4 @ piNil ) ) @ Rel )
% 0.29/0.46 => ( strong743114133lation @ P @ Rel @ ( par @ P @ piNil ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % parZeroRight
% 0.29/0.46 thf(fact_242_parZeroLeft,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 0.29/0.46 ( ! [Q4: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ Q4 @ piNil ) @ Q4 ) @ Rel )
% 0.29/0.46 => ( strong743114133lation @ ( par @ P @ piNil ) @ Rel @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % parZeroLeft
% 0.29/0.46 thf(fact_243_simps_I6_J,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 0.29/0.46 ( ( subs @ ( mismatch @ A @ B2 @ P ) @ C2 @ D )
% 0.29/0.46 = ( mismatch @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(6)
% 0.29/0.46 thf(fact_244_pi_Ofresh_I1_J,axiom,
% 0.29/0.46 ! [A: name] : ( fresh_name_pi @ A @ piNil ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(1)
% 0.29/0.46 thf(fact_245_simps_I1_J,axiom,
% 0.29/0.46 ! [C2: name,D: name] :
% 0.29/0.46 ( ( subs @ piNil @ C2 @ D )
% 0.29/0.46 = piNil ) ).
% 0.29/0.46
% 0.29/0.46 % simps(1)
% 0.29/0.46 thf(fact_246_pi_Ofresh_I6_J,axiom,
% 0.29/0.46 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( mismatch @ X32 @ X2 @ X1 ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.46 & ( fresh_name_name @ A @ X2 )
% 0.29/0.46 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(6)
% 0.29/0.46 thf(fact_247_pi_Odistinct_I5_J,axiom,
% 0.29/0.46 ! [Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(5)
% 0.29/0.46 thf(fact_248_pi_Odistinct_I51_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(51)
% 0.29/0.46 thf(fact_249_pi_Odistinct_I75_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( mismatch @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(75)
% 0.29/0.46 thf(fact_250_pi_Odistinct_I73_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( ( mismatch @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(73)
% 0.29/0.46 thf(fact_251_pi_Odistinct_I15_J,axiom,
% 0.29/0.46 ! [Name: name,Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(15)
% 0.29/0.46 thf(fact_252_pi_Odistinct_I13_J,axiom,
% 0.29/0.46 ! [Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(13)
% 0.29/0.46 thf(fact_253_pi_Odistinct_I25_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(25)
% 0.29/0.46 thf(fact_254_nilSimRight,axiom,
% 0.29/0.46 ! [P: pi,Rel: set_Pr1834926343_pi_pi] : ( strong743114133lation @ P @ Rel @ piNil ) ).
% 0.29/0.46
% 0.29/0.46 % nilSimRight
% 0.29/0.46 thf(fact_255_pi_Odistinct_I1_J,axiom,
% 0.29/0.46 ! [Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( output @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(1)
% 0.29/0.46 thf(fact_256_pi_Odistinct_I39_J,axiom,
% 0.29/0.46 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( tau @ Pi4 )
% 0.29/0.46 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(39)
% 0.29/0.46 thf(fact_257_pi_Odistinct_I3_J,axiom,
% 0.29/0.46 ! [Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( tau @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(3)
% 0.29/0.46 thf(fact_258_mismatchNilLeft,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,A: name,P: pi] : ( strong743114133lation @ piNil @ Rel @ ( mismatch @ A @ A @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % mismatchNilLeft
% 0.29/0.46 thf(fact_259_pi_Oinject_I5_J,axiom,
% 0.29/0.46 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 0.29/0.46 ( ( ( mismatch @ X32 @ X2 @ X1 )
% 0.29/0.46 = ( mismatch @ Y32 @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X32 = Y32 )
% 0.29/0.46 & ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(5)
% 0.29/0.46 thf(fact_260_pi_Odistinct_I9_J,axiom,
% 0.29/0.46 ! [Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(9)
% 0.29/0.46 thf(fact_261_nilCases_H,axiom,
% 0.29/0.46 ! [Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % nilCases'
% 0.29/0.46 thf(fact_262_zeroTrans,axiom,
% 0.29/0.46 ! [Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % zeroTrans
% 0.29/0.46 thf(fact_263_mismatchCases,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 0.29/0.46 ( ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ( ( ( late_transitions @ P @ Rs )
% 0.29/0.46 => ( ( A != B2 )
% 0.29/0.46 => ( F @ A @ B2 ) ) )
% 0.29/0.46 => ( F @ A @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % mismatchCases
% 0.29/0.46 thf(fact_264_mismatchTrans,axiom,
% 0.29/0.46 ! [A: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % mismatchTrans
% 0.29/0.46 thf(fact_265_mismatchCases_H,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ~ ! [P4: pi,A5: name,B4: name] :
% 0.29/0.46 ( ( ( A = A5 )
% 0.29/0.46 & ( B2 = B4 )
% 0.29/0.46 & ( P = P4 ) )
% 0.29/0.46 => ( ( late_transitions @ P4 @ Rs )
% 0.29/0.46 => ( A5 = B4 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % mismatchCases'
% 0.29/0.46 thf(fact_266_Mismatch,axiom,
% 0.29/0.46 ! [P: pi,Rs: late_residual,A: name,B2: name] :
% 0.29/0.46 ( ( late_transitions @ P @ Rs )
% 0.29/0.46 => ( ( A != B2 )
% 0.29/0.46 => ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Mismatch
% 0.29/0.46 thf(fact_267_resZeroTrans,axiom,
% 0.29/0.46 ! [X: name,Rs: late_residual] :
% 0.29/0.46 ~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) ).
% 0.29/0.46
% 0.29/0.46 % resZeroTrans
% 0.29/0.46 thf(fact_268_nilSim_I2_J,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,A: name,X: name,P: pi] :
% 0.29/0.46 ~ ( strong743114133lation @ piNil @ Rel @ ( input @ A @ X @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % nilSim(2)
% 0.29/0.46 thf(fact_269_nilSim_I3_J,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,A: name,B2: name,P: pi] :
% 0.29/0.46 ~ ( strong743114133lation @ piNil @ Rel @ ( output @ A @ B2 @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % nilSim(3)
% 0.29/0.46 thf(fact_270_nilSim_I1_J,axiom,
% 0.29/0.46 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 0.29/0.46 ~ ( strong743114133lation @ piNil @ Rel @ ( tau @ P ) ) ).
% 0.29/0.46
% 0.29/0.46 % nilSim(1)
% 0.29/0.46 thf(fact_271_simps_I5_J,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 0.29/0.46 ( ( subs @ ( match @ A @ B2 @ P ) @ C2 @ D )
% 0.29/0.46 = ( match @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % simps(5)
% 0.29/0.46 thf(fact_272_pi_Ofresh_I5_J,axiom,
% 0.29/0.46 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ A @ ( match @ X32 @ X2 @ X1 ) )
% 0.29/0.46 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.46 & ( fresh_name_name @ A @ X2 )
% 0.29/0.46 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.fresh(5)
% 0.29/0.46 thf(fact_273_pi_Odistinct_I61_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( match @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(61)
% 0.29/0.46 thf(fact_274_pi_Odistinct_I7_J,axiom,
% 0.29/0.46 ! [Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( piNil
% 0.29/0.46 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(7)
% 0.29/0.46 thf(fact_275_Match,axiom,
% 0.29/0.46 ! [P: pi,Rs: late_residual,B2: name] :
% 0.29/0.46 ( ( late_transitions @ P @ Rs )
% 0.29/0.46 => ( late_transitions @ ( match @ B2 @ B2 @ P ) @ Rs ) ) ).
% 0.29/0.46
% 0.29/0.46 % Match
% 0.29/0.46 thf(fact_276_matchCases_H,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ~ ! [P4: pi] :
% 0.29/0.46 ( ( ( B2 = A )
% 0.29/0.46 & ( P = P4 ) )
% 0.29/0.46 => ~ ( late_transitions @ P4 @ Rs ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % matchCases'
% 0.29/0.46 thf(fact_277_matchTrans,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 0.29/0.46 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ( A = B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % matchTrans
% 0.29/0.46 thf(fact_278_matchCases,axiom,
% 0.29/0.46 ! [A: name,B2: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 0.29/0.46 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 0.29/0.46 => ( ( ( late_transitions @ P @ Rs )
% 0.29/0.46 => ( ( A = B2 )
% 0.29/0.46 => ( F @ A @ A ) ) )
% 0.29/0.46 => ( F @ A @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % matchCases
% 0.29/0.46 thf(fact_279_pi_Oinject_I4_J,axiom,
% 0.29/0.46 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 0.29/0.46 ( ( ( match @ X32 @ X2 @ X1 )
% 0.29/0.46 = ( match @ Y32 @ Y22 @ Y1 ) )
% 0.29/0.46 = ( ( X32 = Y32 )
% 0.29/0.46 & ( X2 = Y22 )
% 0.29/0.46 & ( X1 = Y1 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.inject(4)
% 0.29/0.46 thf(fact_280_pi_Odistinct_I37_J,axiom,
% 0.29/0.46 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( tau @ Pi4 )
% 0.29/0.46 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(37)
% 0.29/0.46 thf(fact_281_pi_Odistinct_I23_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(23)
% 0.29/0.46 thf(fact_282_pi_Odistinct_I65_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.46 ( ( match @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(65)
% 0.29/0.46 thf(fact_283_pi_Odistinct_I67_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 0.29/0.46 ( ( match @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( res @ Name @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(67)
% 0.29/0.46 thf(fact_284_pi_Odistinct_I49_J,axiom,
% 0.29/0.46 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 0.29/0.46 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.46 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.distinct(49)
% 0.29/0.46 thf(fact_285_matchNilLeft,axiom,
% 0.29/0.46 ! [A: name,B2: name,Rel: set_Pr1834926343_pi_pi,P: pi] :
% 0.29/0.46 ( ( A != B2 )
% 0.29/0.46 => ( strong743114133lation @ piNil @ Rel @ ( match @ A @ B2 @ P ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % matchNilLeft
% 0.29/0.46 thf(fact_286_pi_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: late_subject > pi > $o,Z: late_subject,Pi4: pi] :
% 0.29/0.46 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 0.29/0.46 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.46 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Name2: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 0.29/0.46 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: late_subject] :
% 0.29/0.46 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.46 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.strong_induct
% 0.29/0.46 thf(fact_287_pi_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi4: pi] :
% 0.29/0.46 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 0.29/0.46 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.46 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Name2: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 0.29/0.46 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 0.29/0.46 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.46 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.strong_induct
% 0.29/0.46 thf(fact_288_pi_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: name > pi > $o,Z: name,Pi4: pi] :
% 0.29/0.46 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ( fresh_name_name @ Name22 @ Z2 )
% 0.29/0.46 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.46 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.46 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 0.29/0.46 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.46 => ( ! [Name2: name,Pi3: pi,Z2: name] :
% 0.29/0.46 ( ( fresh_name_name @ Name2 @ Z2 )
% 0.29/0.46 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: name] :
% 0.29/0.46 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.46 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pi.strong_induct
% 0.29/0.46 thf(fact_289_pi_Ostrong__induct,axiom,
% 0.29/0.46 ! [P: pi > pi > $o,Z: pi,Pi4: pi] :
% 0.29/0.46 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ( fresh_name_pi @ Name22 @ Z2 )
% 0.29/0.46 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.46 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.46 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.46 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.46 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Name2: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ( fresh_name_pi @ Name2 @ Z2 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.47 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.strong_induct
% 0.29/0.47 thf(fact_290_pi_Ostrong__inducts,axiom,
% 0.29/0.47 ! [P: late_subject > pi > $o,Z: late_subject,Pi4: pi] :
% 0.29/0.47 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 0.29/0.47 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.47 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Name2: name,Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 0.29/0.47 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: late_subject] :
% 0.29/0.47 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.47 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.strong_inducts
% 0.29/0.47 thf(fact_291_pi_Ostrong__inducts,axiom,
% 0.29/0.47 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi4: pi] :
% 0.29/0.47 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 0.29/0.47 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.47 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Name2: name,Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 0.29/0.47 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 0.29/0.47 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.47 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.strong_inducts
% 0.29/0.47 thf(fact_292_pi_Ostrong__inducts,axiom,
% 0.29/0.47 ! [P: name > pi > $o,Z: name,Pi4: pi] :
% 0.29/0.47 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.47 ( ( fresh_name_name @ Name22 @ Z2 )
% 0.29/0.47 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.47 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Name2: name,Pi3: pi,Z2: name] :
% 0.29/0.47 ( ( fresh_name_name @ Name2 @ Z2 )
% 0.29/0.47 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: name] :
% 0.29/0.47 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.47 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.strong_inducts
% 0.29/0.47 thf(fact_293_pi_Ostrong__inducts,axiom,
% 0.29/0.47 ! [P: pi > pi > $o,Z: pi,Pi4: pi] :
% 0.29/0.47 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ( fresh_name_pi @ Name22 @ Z2 )
% 0.29/0.47 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 0.29/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.29/0.47 => ( ! [Name2: name,Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ( fresh_name_pi @ Name2 @ Z2 )
% 0.29/0.47 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 0.29/0.47 => ( ! [Pi3: pi,Z2: pi] :
% 0.29/0.47 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 0.29/0.47 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 0.29/0.47 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.strong_inducts
% 0.29/0.47 thf(fact_294_pi_Ofresh_I10_J,axiom,
% 0.29/0.47 ! [A: name,X1: pi] :
% 0.29/0.47 ( ( fresh_name_pi @ A @ ( bang @ X1 ) )
% 0.29/0.47 = ( fresh_name_pi @ A @ X1 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.fresh(10)
% 0.29/0.47 thf(fact_295_pi_Ofresh_I7_J,axiom,
% 0.29/0.47 ! [A: name,X2: pi,X1: pi] :
% 0.29/0.47 ( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
% 0.29/0.47 = ( ( fresh_name_pi @ A @ X2 )
% 0.29/0.47 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.fresh(7)
% 0.29/0.47 thf(fact_296_simps_I10_J,axiom,
% 0.29/0.47 ! [P: pi,C2: name,D: name] :
% 0.29/0.47 ( ( subs @ ( bang @ P ) @ C2 @ D )
% 0.29/0.47 = ( bang @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % simps(10)
% 0.29/0.47 thf(fact_297_simps_I7_J,axiom,
% 0.29/0.47 ! [P: pi,Q: pi,C2: name,D: name] :
% 0.29/0.47 ( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
% 0.29/0.47 = ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % simps(7)
% 0.29/0.47 thf(fact_298_pi_Odistinct_I63_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.47 ( ( match @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(63)
% 0.29/0.47 thf(fact_299_pi_Odistinct_I69_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 0.29/0.47 ( ( match @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(69)
% 0.29/0.47 thf(fact_300_bangCases,axiom,
% 0.29/0.47 ! [P: pi,Rs: late_residual] :
% 0.29/0.47 ( ( late_transitions @ ( bang @ P ) @ Rs )
% 0.29/0.47 => ~ ! [P4: pi] :
% 0.29/0.47 ( ( ( bang @ P )
% 0.29/0.47 = ( bang @ P4 ) )
% 0.29/0.47 => ~ ( late_transitions @ ( par @ P4 @ ( bang @ P4 ) ) @ Rs ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % bangCases
% 0.29/0.47 thf(fact_301_Bang,axiom,
% 0.29/0.47 ! [P: pi,Rs: late_residual] :
% 0.29/0.47 ( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
% 0.29/0.47 => ( late_transitions @ ( bang @ P ) @ Rs ) ) ).
% 0.29/0.47
% 0.29/0.47 % Bang
% 0.29/0.47 thf(fact_302_pi_Odistinct_I53_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.47 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(53)
% 0.29/0.47 thf(fact_303_pi_Odistinct_I59_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 0.29/0.47 ( ( input @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(59)
% 0.29/0.47 thf(fact_304_pi_Odistinct_I89_J,axiom,
% 0.29/0.47 ! [Name3: name,Pi4: pi,Pi: pi] :
% 0.29/0.47 ( ( res @ Name3 @ Pi4 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(89)
% 0.29/0.47 thf(fact_305_pi_Odistinct_I87_J,axiom,
% 0.29/0.47 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 0.29/0.47 ( ( par @ Pi1 @ Pi2 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(87)
% 0.29/0.47 thf(fact_306_sumCases,axiom,
% 0.29/0.47 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.29/0.47 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.29/0.47 => ( ~ ( late_transitions @ P @ Rs )
% 0.29/0.47 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % sumCases
% 0.29/0.47 thf(fact_307_sumCases_H,axiom,
% 0.29/0.47 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.29/0.47 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.29/0.47 => ( ~ ( late_transitions @ P @ Rs )
% 0.29/0.47 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % sumCases'
% 0.29/0.47 thf(fact_308_Sum1,axiom,
% 0.29/0.47 ! [P: pi,Rs: late_residual,Q: pi] :
% 0.29/0.47 ( ( late_transitions @ P @ Rs )
% 0.29/0.47 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.29/0.47
% 0.29/0.47 % Sum1
% 0.29/0.47 thf(fact_309_Sum2,axiom,
% 0.29/0.47 ! [Q: pi,Rs: late_residual,P: pi] :
% 0.29/0.47 ( ( late_transitions @ Q @ Rs )
% 0.29/0.47 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.29/0.47
% 0.29/0.47 % Sum2
% 0.29/0.47 thf(fact_310_pi_Odistinct_I81_J,axiom,
% 0.29/0.47 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 0.29/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.29/0.47 != ( res @ Name @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(81)
% 0.29/0.47 thf(fact_311_pi_Odistinct_I79_J,axiom,
% 0.29/0.47 ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.29/0.47 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(79)
% 0.29/0.47 thf(fact_312_pi_Oinject_I9_J,axiom,
% 0.29/0.47 ! [X1: pi,Y1: pi] :
% 0.29/0.47 ( ( ( bang @ X1 )
% 0.29/0.47 = ( bang @ Y1 ) )
% 0.29/0.47 = ( X1 = Y1 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.inject(9)
% 0.29/0.47 thf(fact_313_pi_Oinject_I6_J,axiom,
% 0.29/0.47 ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
% 0.29/0.47 ( ( ( sum @ X2 @ X1 )
% 0.29/0.47 = ( sum @ Y22 @ Y1 ) )
% 0.29/0.47 = ( ( X2 = Y22 )
% 0.29/0.47 & ( X1 = Y1 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.inject(6)
% 0.29/0.47 thf(fact_314_pi_Odistinct_I83_J,axiom,
% 0.29/0.47 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 0.29/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(83)
% 0.29/0.47 thf(fact_315_pi_Odistinct_I27_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.47 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(27)
% 0.29/0.47 thf(fact_316_pi_Odistinct_I33_J,axiom,
% 0.29/0.47 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 0.29/0.47 ( ( output @ Name12 @ Name23 @ Pi4 )
% 0.29/0.47 != ( bang @ Pi ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(33)
% 0.29/0.47 thf(fact_317_pi_Odistinct_I41_J,axiom,
% 0.29/0.47 ! [Pi4: pi,Pi12: pi,Pi22: pi] :
% 0.29/0.47 ( ( tau @ Pi4 )
% 0.29/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.29/0.47
% 0.29/0.47 % pi.distinct(41)
% 0.29/0.47
% 0.29/0.47 % Helper facts (3)
% 0.29/0.47 thf(help_If_3_1_If_001t__Agent__Oname_T,axiom,
% 0.29/0.47 ! [P: $o] :
% 0.29/0.47 ( ( P = $true )
% 0.29/0.47 | ( P = $false ) ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_2_1_If_001t__Agent__Oname_T,axiom,
% 0.29/0.47 ! [X: name,Y: name] :
% 0.29/0.47 ( ( if_name @ $false @ X @ Y )
% 0.29/0.47 = Y ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_1_1_If_001t__Agent__Oname_T,axiom,
% 0.29/0.47 ! [X: name,Y: name] :
% 0.29/0.47 ( ( if_name @ $true @ X @ Y )
% 0.29/0.47 = X ) ).
% 0.29/0.47
% 0.29/0.47 % Conjectures (1)
% 0.29/0.47 thf(conj_0,conjecture,
% 0.29/0.47 x != aa ).
% 0.29/0.47
% 0.29/0.47 %------------------------------------------------------------------------------
% 0.29/0.47 ------------------------
% 2.94/1.51 ---- Embedded in THF ---
% 2.94/1.51 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.94/1.51 %%% Generated on Tue Feb 24 08:29:40 EST 2026
% 2.94/1.51 %%% using '$$dhol' embedding, version 1.3.0.
% 2.94/1.51 %%% Logic specification used:
% 2.94/1.51 %%% thf(spec, logic, $$dhol).
% 2.94/1.51
% 2.94/1.51 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2DTF15425.p
% See solution above
% 2.94/1.52 ------------------------
% 2.94/1.58 ---- Cleaned THF ---
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_M_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J,type,
% 2.94/1.58 produc1462499409ion_pi: $tType ).
% 2.94/1.58
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__Osubject_J,type,
% 2.94/1.58 produc691362330ubject: $tType ).
% 2.94/1.58
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Late____Semantics__OfreeRes_J,type,
% 2.94/1.58 produc1834551554reeRes: $tType ).
% 2.94/1.58
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Oname_J,type,
% 2.94/1.58 produc405342261i_name: $tType ).
% 2.94/1.58
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_Mt__Agent__Opi_J,type,
% 2.94/1.58 produc629157763_pi_pi: $tType ).
% 2.94/1.58
% 2.94/1.58 thf(ty_n_t__Product____Type__Oprod_It__Late____Semantics__Osubject_Mt__Late____Semantics__Osubject_J,type,
% 2.94/1.58 produc1359399907ubject: $tType ).
% 2.94/1.58
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% 2.94/1.58
% 2.94/1.58 thf(sy_v_aa____,type,
% 2.94/1.58 aa: name ).
% 2.94/1.58
% 2.94/1.58 thf(sy_v_x,type,
% 2.94/1.58 x: name ).
% 2.94/1.58
% 2.94/1.58 thf(sy_v_xPQ____,type,
% 2.94/1.58 xPQ: pi ).
% 2.94/1.58
% 2.94/1.58 thf(sy_v_y____,type,
% 2.94/1.58 y: name ).
% 2.94/1.58
% 2.94/1.58 thf(sy_v_z____,type,
% 2.94/1.58 z: name ).
% 2.94/1.58
% 2.94/1.58 thf(fact_0_cClose1_Ohyps_I3_J,axiom,
% 2.94/1.58 fresh_name_pi @ y @ p ).
% 2.94/1.58
% 2.94/1.58 thf(fact_1_cClose1_Ohyps_I7_J,axiom,
% 2.94/1.58 fresh_name_pi @ y @ q2 ).
% 2.94/1.58
% 2.94/1.58 thf(fact_2_cClose1_Ohyps_I6_J,axiom,
% 2.94/1.58 y != z ).
% 2.94/1.58
% 2.94/1.58 thf(fact_3_assms_I1_J,axiom,
% 2.94/1.58 fresh_name_pi @ x @ p ).
% 2.94/1.58
% 2.94/1.58 thf(fact_4_cClose1_Ohyps_I12_J,axiom,
% 2.94/1.58 fresh_name_name @ y @ x ).
% 2.94/1.58
% 2.94/1.58 thf(fact_5_cClose1_Ohyps_I5_J,axiom,
% 2.94/1.58 y != aa ).
% 2.94/1.58
% 2.94/1.58 thf(fact_6_cClose1_Ohyps_I4_J,axiom,
% 2.94/1.58 fresh_name_pi @ y @ q ).
% 2.94/1.58
% 2.94/1.58 thf(fact_7_cClose1_Ohyps_I11_J,axiom,
% 2.94/1.58 fresh_name_pi @ z @ p2 ).
% 2.94/1.58
% 2.94/1.58 thf(fact_8_cClose1_Ohyps_I1_J,axiom,
% 2.94/1.58 late_transitions @ p @ ( late_BoundR @ ( late_InputS @ aa ) @ y @ p2 ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_9_cClose1_Ohyps_I10_J,axiom,
% 2.94/1.58 z != aa ).
% 2.94/1.58
% 2.94/1.58 thf(fact_10_cClose1_Ohyps_I13_J,axiom,
% 2.94/1.58 fresh_name_name @ z @ x ).
% 2.94/1.58
% 2.94/1.58 thf(fact_11_cClose1_Ohyps_I8_J,axiom,
% 2.94/1.58 fresh_name_pi @ z @ p ).
% 2.94/1.58
% 2.94/1.58 thf(fact_12_cRes_Ohyps_I2_J,axiom,
% 2.94/1.58 fresh_1641682979reeRes @ x @ alpha ).
% 2.94/1.58
% 2.94/1.58 thf(fact_13_assms_I3_J,axiom,
% 2.94/1.58 eqvt_pi @ rel ).
% 2.94/1.58
% 2.94/1.58 thf(fact_14_cClose1_Ohyps_I14_J,axiom,
% 2.94/1.58 alpha = late_TauR ).
% 2.94/1.58
% 2.94/1.58 thf(fact_15_cClose1_Ohyps_I2_J,axiom,
% 2.94/1.58 late_transitions @ q @ ( late_BoundR @ ( late_BoundOutputS @ aa ) @ z @ q2 ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_16_cClose1_Ohyps_I9_J,axiom,
% 2.94/1.58 fresh_name_pi @ z @ q ).
% 2.94/1.58
% 2.94/1.58 thf(fact_17_Free_Ohyps,axiom,
% 2.94/1.58 late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ xPQ ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_18_cRes_Ohyps_I1_J,axiom,
% 2.94/1.58 late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ pq ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_19_freeRes_Ofresh_I2_J,axiom,
% 2.94/1.58 ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_20_pi_Ofresh_I8_J,axiom,
% 2.94/1.58 ! [A: name,X2: pi,X1: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_name_pi @ A @ X2 )
% 2.94/1.58 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_21_freshFreeDerivative_I1_J,axiom,
% 2.94/1.58 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( fresh_1641682979reeRes @ Y @ Alpha ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_22_resCasesF,axiom,
% 2.94/1.58 ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
% 2.94/1.58 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
% 2.94/1.58 => ( ! [P3: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X @ Alpha )
% 2.94/1.58 => ( F @ ( res @ X @ P3 ) ) ) )
% 2.94/1.58 => ( F @ XP ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_23_resCasesF_H,axiom,
% 2.94/1.58 ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y2: name] :
% 2.94/1.58 ( ( ( res @ X @ P )
% 2.94/1.58 = ( res @ Y2 @ P4 ) )
% 2.94/1.58 => ( ( ( late_FreeR @ Alpha @ P2 )
% 2.94/1.58 = ( late_FreeR @ Alpha2 @ ( res @ Y2 @ P3 ) ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.94/1.58 => ~ ( fresh_1641682979reeRes @ Y2 @ Alpha2 ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_24_ResF,axiom,
% 2.94/1.58 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ Y @ Alpha )
% 2.94/1.58 => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_25_Res,axiom,
% 2.94/1.58 ! [Y: name,R: pi,S: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ Y @ R )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R @ ( res @ Y @ S ) ) @ ( res @ Y @ ( par @ R @ S ) ) ) @ rel ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_26_ScopeExt,axiom,
% 2.94/1.58 ! [Y: name,R: pi,Z: name,S: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ Y @ R )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ Z @ ( par @ R @ ( res @ Y @ S ) ) ) @ ( res @ Y @ ( res @ Z @ ( par @ R @ S ) ) ) ) @ rel ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_27_Late__Semantics_OPar1B,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_28_Late__Semantics_OPar2B,axiom,
% 2.94/1.58 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_29_Late__Semantics_Osubject_Oinject_I2_J,axiom,
% 2.94/1.58 ! [X1: name,Y1: name] :
% 2.94/1.58 ( ( ( late_BoundOutputS @ X1 )
% 2.94/1.58 = ( late_BoundOutputS @ Y1 ) )
% 2.94/1.58 = ( X1 = Y1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_30_name__fresh,axiom,
% 2.94/1.58 ( fresh_name_name
% 2.94/1.58 = ( ^ [A2: name,B: name] : ( A2 != B ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_31_name__exists__fresh,axiom,
% 2.94/1.58 ! [X: late_subject] :
% 2.94/1.58 ~ ! [C: name] :
% 2.94/1.58 ~ ( fresh_717452603ubject @ C @ X ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_32_name__exists__fresh,axiom,
% 2.94/1.58 ! [X: late_freeRes] :
% 2.94/1.58 ~ ! [C: name] :
% 2.94/1.58 ~ ( fresh_1641682979reeRes @ C @ X ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_33_name__exists__fresh,axiom,
% 2.94/1.58 ! [X: name] :
% 2.94/1.58 ~ ! [C: name] :
% 2.94/1.58 ~ ( fresh_name_name @ C @ X ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_34_name__exists__fresh,axiom,
% 2.94/1.58 ! [X: pi] :
% 2.94/1.58 ~ ! [C: name] :
% 2.94/1.58 ~ ( fresh_name_pi @ C @ X ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_35_pi_Oinject_I7_J,axiom,
% 2.94/1.58 ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
% 2.94/1.58 ( ( ( par @ X2 @ X1 )
% 2.94/1.58 = ( par @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_36_residual_Oinject_I2_J,axiom,
% 2.94/1.58 ! [X2: late_freeRes,X1: pi,Y22: late_freeRes,Y1: pi] :
% 2.94/1.58 ( ( ( late_FreeR @ X2 @ X1 )
% 2.94/1.58 = ( late_FreeR @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_37_pi_Odistinct_I85_J,axiom,
% 2.94/1.58 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( par @ Pi1 @ Pi2 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_38_freshRes,axiom,
% 2.94/1.58 ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_39_residual_Oinducts,axiom,
% 2.94/1.58 ! [P: late_residual > $o,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi] : ( P @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_40_residual_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [Subject2: late_subject,Name3: name,Pi4: pi,FreeRes2: late_freeRes,Pi: pi] :
% 2.94/1.58 ( ( late_BoundR @ Subject2 @ Name3 @ Pi4 )
% 2.94/1.58 != ( late_FreeR @ FreeRes2 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_41_subject_Oinducts,axiom,
% 2.94/1.58 ! [P: late_subject > $o,Subject2: late_subject] :
% 2.94/1.58 ( ! [Name2: name] : ( P @ ( late_InputS @ Name2 ) )
% 2.94/1.58 => ( ! [Name2: name] : ( P @ ( late_BoundOutputS @ Name2 ) )
% 2.94/1.58 => ( P @ Subject2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_42_Late__Semantics_Osubject_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [Name3: name,Name: name] :
% 2.94/1.58 ( ( late_InputS @ Name3 )
% 2.94/1.58 != ( late_BoundOutputS @ Name ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_43_Par2F,axiom,
% 2.94/1.58 ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_44_Par1F,axiom,
% 2.94/1.58 ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_45_freshBoundDerivative_I2_J,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( ( Y != X )
% 2.94/1.58 => ( fresh_name_pi @ Y @ P2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_46_mem__Collect__eq,axiom,
% 2.94/1.58 ! [A: product_prod_pi_pi,P: product_prod_pi_pi > $o] :
% 2.94/1.58 ( ( member558706512_pi_pi @ A @ ( collec1051790738_pi_pi @ P ) )
% 2.94/1.58 = ( P @ A ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_47_Collect__mem__eq,axiom,
% 2.94/1.58 ! [A3: set_Pr1834926343_pi_pi] :
% 2.94/1.58 ( ( collec1051790738_pi_pi
% 2.94/1.58 @ ^ [X3: product_prod_pi_pi] : ( member558706512_pi_pi @ X3 @ A3 ) )
% 2.94/1.58 = A3 ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_48_Collect__cong,axiom,
% 2.94/1.58 ! [P: product_prod_pi_pi > $o,Q: product_prod_pi_pi > $o] :
% 2.94/1.58 ( ! [X4: product_prod_pi_pi] :
% 2.94/1.58 ( ( P @ X4 )
% 2.94/1.58 = ( Q @ X4 ) )
% 2.94/1.58 => ( ( collec1051790738_pi_pi @ P )
% 2.94/1.58 = ( collec1051790738_pi_pi @ Q ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_49_residual_Ostrong__inducts,axiom,
% 2.94/1.58 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_50_residual_Ostrong__inducts,axiom,
% 2.94/1.58 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_51_residual_Ostrong__inducts,axiom,
% 2.94/1.58 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ( fresh_name_name @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_52_residual_Ostrong__inducts,axiom,
% 2.94/1.58 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_53_residual_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_54_residual_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_55_residual_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ( fresh_name_name @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_56_residual_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 2.94/1.58 ( ! [Subject: late_subject,Name2: name,Pi3: pi,Z2: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ Name2 @ Z2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Name2 @ Subject )
% 2.94/1.58 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [FreeRes: late_freeRes,Pi3: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi3 ) )
% 2.94/1.58 => ( P @ Z @ Residual ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_57_freshFreeDerivative_I2_J,axiom,
% 2.94/1.58 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( fresh_name_pi @ Y @ P2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_58_parCasesB,axiom,
% 2.94/1.58 ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
% 2.94/1.58 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ! [P3: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
% 2.94/1.58 => ( Prop @ ( par @ P3 @ Q ) ) )
% 2.94/1.58 => ( ! [Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
% 2.94/1.58 => ( Prop @ ( par @ P @ Q3 ) ) )
% 2.94/1.58 => ( Prop @ PQ ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_59_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_subject,Y: late_subject] :
% 2.94/1.58 ( ( fresh_495373993ubject @ A @ ( produc1465345179ubject @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_717452603ubject @ A @ X )
% 2.94/1.58 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_60_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_subject,Y: late_freeRes] :
% 2.94/1.58 ( ( fresh_1638563217reeRes @ A @ ( produc242091907reeRes @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_717452603ubject @ A @ X )
% 2.94/1.58 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_61_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_subject,Y: name] :
% 2.94/1.58 ( ( fresh_1953561446t_name @ A @ ( produc1647375838t_name @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_717452603ubject @ A @ X )
% 2.94/1.58 & ( fresh_name_name @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_62_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_subject,Y: pi] :
% 2.94/1.58 ( ( fresh_994896692ect_pi @ A @ ( produc324947500ect_pi @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_717452603ubject @ A @ X )
% 2.94/1.58 & ( fresh_name_pi @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_63_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_freeRes,Y: late_subject] :
% 2.94/1.58 ( ( fresh_1498103185ubject @ A @ ( produc320590723ubject @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_1641682979reeRes @ A @ X )
% 2.94/1.58 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_64_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_freeRes,Y: late_freeRes] :
% 2.94/1.58 ( ( fresh_493808761reeRes @ A @ ( produc1244821099reeRes @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_1641682979reeRes @ A @ X )
% 2.94/1.58 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_65_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_freeRes,Y: name] :
% 2.94/1.58 ( ( fresh_2007541374s_name @ A @ ( produc1701355766s_name @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_1641682979reeRes @ A @ X )
% 2.94/1.58 & ( fresh_name_name @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_66_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: late_freeRes,Y: pi] :
% 2.94/1.58 ( ( fresh_1847501388Res_pi @ A @ ( produc1177552196Res_pi @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_1641682979reeRes @ A @ X )
% 2.94/1.58 & ( fresh_name_pi @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_67_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: name,Y: late_subject] :
% 2.94/1.58 ( ( fresh_820177506ubject @ A @ ( produc607574050ubject @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X )
% 2.94/1.58 & ( fresh_717452603ubject @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_68_fresh__prod,axiom,
% 2.94/1.58 ! [A: name,X: name,Y: late_freeRes] :
% 2.94/1.58 ( ( fresh_1963366730reeRes @ A @ ( produc1531804426reeRes @ X @ Y ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X )
% 2.94/1.58 & ( fresh_1641682979reeRes @ A @ Y ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_69_transitions_OClose2,axiom,
% 2.94/1.58 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ Q )
% 2.94/1.58 => ( ( X != A )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P2 )
% 2.94/1.58 => ( ( Y != A )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ Q2 )
% 2.94/1.58 => ( ( X != Y )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_70_transitions_OClose1,axiom,
% 2.94/1.58 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ Q )
% 2.94/1.58 => ( ( X != A )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q2 )
% 2.94/1.58 => ( ( Y != A )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P2 )
% 2.94/1.58 => ( ( X != Y )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_71_Late__Semantics_OClose2,axiom,
% 2.94/1.58 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ Q )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_72_Late__Semantics_OClose1,axiom,
% 2.94/1.58 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_73_Late__Semantics1_Osubject_Oinject_I1_J,axiom,
% 2.94/1.58 ! [X1: name,Y1: name] :
% 2.94/1.58 ( ( ( late_InputS @ X1 )
% 2.94/1.58 = ( late_InputS @ Y1 ) )
% 2.94/1.58 = ( X1 = Y1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_74_Late__Semantics1_Osubject_Oinject_I2_J,axiom,
% 2.94/1.58 ! [X2: name,Y22: name] :
% 2.94/1.58 ( ( ( late_BoundOutputS @ X2 )
% 2.94/1.58 = ( late_BoundOutputS @ Y22 ) )
% 2.94/1.58 = ( X2 = Y22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_75_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: late_subject,A4: name > noption_pi,B3: late_subject] :
% 2.94/1.58 ( ( ( produc581368530ubject @ A @ B2 )
% 2.94/1.58 = ( produc581368530ubject @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_76_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: late_freeRes,A4: name > noption_pi,B3: late_freeRes] :
% 2.94/1.58 ( ( ( produc1505598906reeRes @ A @ B2 )
% 2.94/1.58 = ( produc1505598906reeRes @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_77_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: name,A4: name > noption_pi,B3: name] :
% 2.94/1.58 ( ( ( produc540578151i_name @ A @ B2 )
% 2.94/1.58 = ( produc540578151i_name @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_78_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: pi,A4: name > noption_pi,B3: pi] :
% 2.94/1.58 ( ( ( produc1820286517_pi_pi @ A @ B2 )
% 2.94/1.58 = ( produc1820286517_pi_pi @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_79_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: name > noption_pi,A4: name > noption_pi,B3: name > noption_pi] :
% 2.94/1.58 ( ( ( produc1342893193ion_pi @ A @ B2 )
% 2.94/1.58 = ( produc1342893193ion_pi @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_80_old_Oprod_Oinject,axiom,
% 2.94/1.58 ! [A: pi,B2: pi,A4: pi,B3: pi] :
% 2.94/1.58 ( ( ( product_Pair_pi_pi @ A @ B2 )
% 2.94/1.58 = ( product_Pair_pi_pi @ A4 @ B3 ) )
% 2.94/1.58 = ( ( A = A4 )
% 2.94/1.58 & ( B2 = B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_81_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: name > noption_pi,X2: late_subject,Y1: name > noption_pi,Y22: late_subject] :
% 2.94/1.58 ( ( ( produc581368530ubject @ X1 @ X2 )
% 2.94/1.58 = ( produc581368530ubject @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_82_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: name > noption_pi,X2: late_freeRes,Y1: name > noption_pi,Y22: late_freeRes] :
% 2.94/1.58 ( ( ( produc1505598906reeRes @ X1 @ X2 )
% 2.94/1.58 = ( produc1505598906reeRes @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_83_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: name > noption_pi,X2: name,Y1: name > noption_pi,Y22: name] :
% 2.94/1.58 ( ( ( produc540578151i_name @ X1 @ X2 )
% 2.94/1.58 = ( produc540578151i_name @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_84_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: name > noption_pi,X2: pi,Y1: name > noption_pi,Y22: pi] :
% 2.94/1.58 ( ( ( produc1820286517_pi_pi @ X1 @ X2 )
% 2.94/1.58 = ( produc1820286517_pi_pi @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_85_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: name > noption_pi,X2: name > noption_pi,Y1: name > noption_pi,Y22: name > noption_pi] :
% 2.94/1.58 ( ( ( produc1342893193ion_pi @ X1 @ X2 )
% 2.94/1.58 = ( produc1342893193ion_pi @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_86_prod_Oinject,axiom,
% 2.94/1.58 ! [X1: pi,X2: pi,Y1: pi,Y22: pi] :
% 2.94/1.58 ( ( ( product_Pair_pi_pi @ X1 @ X2 )
% 2.94/1.58 = ( product_Pair_pi_pi @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X1 = Y1 )
% 2.94/1.58 & ( X2 = Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_87_subst__identity,axiom,
% 2.94/1.58 ! [P: pi,A: name] :
% 2.94/1.58 ( ( subs @ P @ A @ A )
% 2.94/1.58 = P ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_88_simps_I9_J,axiom,
% 2.94/1.58 ! [X: name,C2: name,D: name,P: pi] :
% 2.94/1.58 ( ( X != C2 )
% 2.94/1.58 => ( ( X != D )
% 2.94/1.58 => ( ( subs @ ( res @ X @ P ) @ C2 @ D )
% 2.94/1.58 = ( res @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_89_simps_I8_J,axiom,
% 2.94/1.58 ! [P: pi,Q: pi,C2: name,D: name] :
% 2.94/1.58 ( ( subs @ ( par @ P @ Q ) @ C2 @ D )
% 2.94/1.58 = ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_90_substTrans,axiom,
% 2.94/1.58 ! [B2: name,P: pi,A: name,C2: name] :
% 2.94/1.58 ( ( fresh_name_pi @ B2 @ P )
% 2.94/1.58 => ( ( subs @ ( subs @ P @ A @ B2 ) @ B2 @ C2 )
% 2.94/1.58 = ( subs @ P @ A @ C2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_91_residual_Ofresh_I2_J,axiom,
% 2.94/1.58 ! [A: name,X2: late_freeRes,X1: pi] :
% 2.94/1.58 ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_1641682979reeRes @ A @ X2 )
% 2.94/1.58 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_92_subject_Ofresh_I2_J,axiom,
% 2.94/1.58 ! [A: name,X1: name] :
% 2.94/1.58 ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
% 2.94/1.58 = ( fresh_name_name @ A @ X1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_93_subject_Ofresh_I1_J,axiom,
% 2.94/1.58 ! [A: name,X1: name] :
% 2.94/1.58 ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
% 2.94/1.58 = ( fresh_name_name @ A @ X1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_94_forget,axiom,
% 2.94/1.58 ! [A: name,P: pi,B2: name] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ P )
% 2.94/1.58 => ( ( subs @ P @ A @ B2 )
% 2.94/1.58 = P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_95_fresh__fact1,axiom,
% 2.94/1.58 ! [A: name,P: pi,C2: name,B2: name] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ P )
% 2.94/1.58 => ( ( A != C2 )
% 2.94/1.58 => ( fresh_name_pi @ A @ ( subs @ P @ B2 @ C2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_96_fresh__fact2,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi] :
% 2.94/1.58 ( ( A != B2 )
% 2.94/1.58 => ( fresh_name_pi @ A @ ( subs @ P @ A @ B2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_97_freshResidual,axiom,
% 2.94/1.58 ! [P: pi,Rs: late_residual,X: name] :
% 2.94/1.58 ( ( late_transitions @ P @ Rs )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( fresh_81631222sidual @ X @ Rs ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_98_substRes2,axiom,
% 2.94/1.58 ! [B2: name,P: pi,A: name] :
% 2.94/1.58 ( ( fresh_name_pi @ B2 @ P )
% 2.94/1.58 => ( ( res @ A @ P )
% 2.94/1.58 = ( res @ B2 @ ( subs @ P @ A @ B2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_99_Agent_OsubstRes3,axiom,
% 2.94/1.58 ! [B2: name,P: pi,A: name] :
% 2.94/1.58 ( ( fresh_name_pi @ B2 @ P )
% 2.94/1.58 => ( ( subs @ ( res @ A @ P ) @ A @ B2 )
% 2.94/1.58 = ( res @ B2 @ ( subs @ P @ A @ B2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_100_Late__Semantics_OResB,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Y @ A )
% 2.94/1.58 => ( ( Y != X )
% 2.94/1.58 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_101_freshBoundDerivative_I1_J,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y @ P )
% 2.94/1.58 => ( fresh_717452603ubject @ Y @ A ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_102_surj__pair,axiom,
% 2.94/1.58 ! [P5: produc691362330ubject] :
% 2.94/1.58 ? [X4: name > noption_pi,Y2: late_subject] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( produc581368530ubject @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_103_surj__pair,axiom,
% 2.94/1.58 ! [P5: produc1834551554reeRes] :
% 2.94/1.58 ? [X4: name > noption_pi,Y2: late_freeRes] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( produc1505598906reeRes @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_104_surj__pair,axiom,
% 2.94/1.58 ! [P5: produc405342261i_name] :
% 2.94/1.58 ? [X4: name > noption_pi,Y2: name] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( produc540578151i_name @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_105_surj__pair,axiom,
% 2.94/1.58 ! [P5: produc629157763_pi_pi] :
% 2.94/1.58 ? [X4: name > noption_pi,Y2: pi] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( produc1820286517_pi_pi @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_106_surj__pair,axiom,
% 2.94/1.58 ! [P5: produc1462499409ion_pi] :
% 2.94/1.58 ? [X4: name > noption_pi,Y2: name > noption_pi] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( produc1342893193ion_pi @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_107_surj__pair,axiom,
% 2.94/1.58 ! [P5: product_prod_pi_pi] :
% 2.94/1.58 ? [X4: pi,Y2: pi] :
% 2.94/1.58 ( P5
% 2.94/1.58 = ( product_Pair_pi_pi @ X4 @ Y2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_108_prod__cases,axiom,
% 2.94/1.58 ! [P: produc691362330ubject > $o,P5: produc691362330ubject] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: late_subject] : ( P @ ( produc581368530ubject @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_109_prod__cases,axiom,
% 2.94/1.58 ! [P: produc1834551554reeRes > $o,P5: produc1834551554reeRes] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: late_freeRes] : ( P @ ( produc1505598906reeRes @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_110_prod__cases,axiom,
% 2.94/1.58 ! [P: produc405342261i_name > $o,P5: produc405342261i_name] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: name] : ( P @ ( produc540578151i_name @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_111_prod__cases,axiom,
% 2.94/1.58 ! [P: produc629157763_pi_pi > $o,P5: produc629157763_pi_pi] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: pi] : ( P @ ( produc1820286517_pi_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_112_prod__cases,axiom,
% 2.94/1.58 ! [P: produc1462499409ion_pi > $o,P5: produc1462499409ion_pi] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: name > noption_pi] : ( P @ ( produc1342893193ion_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_113_prod__cases,axiom,
% 2.94/1.58 ! [P: product_prod_pi_pi > $o,P5: product_prod_pi_pi] :
% 2.94/1.58 ( ! [A5: pi,B4: pi] : ( P @ ( product_Pair_pi_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ P5 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_114_Pair__inject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: late_subject,A4: name > noption_pi,B3: late_subject] :
% 2.94/1.58 ( ( ( produc581368530ubject @ A @ B2 )
% 2.94/1.58 = ( produc581368530ubject @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_115_Pair__inject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: late_freeRes,A4: name > noption_pi,B3: late_freeRes] :
% 2.94/1.58 ( ( ( produc1505598906reeRes @ A @ B2 )
% 2.94/1.58 = ( produc1505598906reeRes @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_116_Pair__inject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: name,A4: name > noption_pi,B3: name] :
% 2.94/1.58 ( ( ( produc540578151i_name @ A @ B2 )
% 2.94/1.58 = ( produc540578151i_name @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_117_Pair__inject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: pi,A4: name > noption_pi,B3: pi] :
% 2.94/1.58 ( ( ( produc1820286517_pi_pi @ A @ B2 )
% 2.94/1.58 = ( produc1820286517_pi_pi @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_118_Pair__inject,axiom,
% 2.94/1.58 ! [A: name > noption_pi,B2: name > noption_pi,A4: name > noption_pi,B3: name > noption_pi] :
% 2.94/1.58 ( ( ( produc1342893193ion_pi @ A @ B2 )
% 2.94/1.58 = ( produc1342893193ion_pi @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_119_Pair__inject,axiom,
% 2.94/1.58 ! [A: pi,B2: pi,A4: pi,B3: pi] :
% 2.94/1.58 ( ( ( product_Pair_pi_pi @ A @ B2 )
% 2.94/1.58 = ( product_Pair_pi_pi @ A4 @ B3 ) )
% 2.94/1.58 => ~ ( ( A = A4 )
% 2.94/1.58 => ( B2 != B3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_120_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: produc691362330ubject] :
% 2.94/1.58 ~ ! [A5: name > noption_pi,B4: late_subject] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( produc581368530ubject @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_121_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: produc1834551554reeRes] :
% 2.94/1.58 ~ ! [A5: name > noption_pi,B4: late_freeRes] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( produc1505598906reeRes @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_122_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: produc405342261i_name] :
% 2.94/1.58 ~ ! [A5: name > noption_pi,B4: name] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( produc540578151i_name @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_123_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: produc629157763_pi_pi] :
% 2.94/1.58 ~ ! [A5: name > noption_pi,B4: pi] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( produc1820286517_pi_pi @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_124_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: produc1462499409ion_pi] :
% 2.94/1.58 ~ ! [A5: name > noption_pi,B4: name > noption_pi] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( produc1342893193ion_pi @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_125_old_Oprod_Oexhaust,axiom,
% 2.94/1.58 ! [Y: product_prod_pi_pi] :
% 2.94/1.58 ~ ! [A5: pi,B4: pi] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( product_Pair_pi_pi @ A5 @ B4 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_126_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: produc691362330ubject > $o,Prod: produc691362330ubject] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: late_subject] : ( P @ ( produc581368530ubject @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_127_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: produc1834551554reeRes > $o,Prod: produc1834551554reeRes] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: late_freeRes] : ( P @ ( produc1505598906reeRes @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_128_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: produc405342261i_name > $o,Prod: produc405342261i_name] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: name] : ( P @ ( produc540578151i_name @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_129_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: produc629157763_pi_pi > $o,Prod: produc629157763_pi_pi] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: pi] : ( P @ ( produc1820286517_pi_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_130_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: produc1462499409ion_pi > $o,Prod: produc1462499409ion_pi] :
% 2.94/1.58 ( ! [A5: name > noption_pi,B4: name > noption_pi] : ( P @ ( produc1342893193ion_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_131_old_Oprod_Oinducts,axiom,
% 2.94/1.58 ! [P: product_prod_pi_pi > $o,Prod: product_prod_pi_pi] :
% 2.94/1.58 ( ! [A5: pi,B4: pi] : ( P @ ( product_Pair_pi_pi @ A5 @ B4 ) )
% 2.94/1.58 => ( P @ Prod ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_132_transitions_OResB,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Y @ A )
% 2.94/1.58 => ( ( Y != X )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A )
% 2.94/1.58 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_133_parCasesB_H,axiom,
% 2.94/1.58 ! [P: pi,Q: pi,B2: late_subject,Y: name,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B2 @ Y @ P2 ) )
% 2.94/1.58 => ( ! [P4: pi,A5: late_subject,X4: name,P3: pi,Q4: pi] :
% 2.94/1.58 ( ( ( par @ P @ Q )
% 2.94/1.58 = ( par @ P4 @ Q4 ) )
% 2.94/1.58 => ( ( ( late_BoundR @ B2 @ Y @ P2 )
% 2.94/1.58 = ( late_BoundR @ A5 @ X4 @ ( par @ P3 @ Q4 ) ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P4 )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q4 )
% 2.94/1.58 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) )
% 2.94/1.58 => ~ ! [Q4: pi,A5: late_subject,X4: name,Q3: pi,P4: pi] :
% 2.94/1.58 ( ( ( par @ P @ Q )
% 2.94/1.58 = ( par @ P4 @ Q4 ) )
% 2.94/1.58 => ( ( ( late_BoundR @ B2 @ Y @ P2 )
% 2.94/1.58 = ( late_BoundR @ A5 @ X4 @ ( par @ P4 @ Q3 ) ) )
% 2.94/1.58 => ( ( late_transitions @ Q4 @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P4 )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q4 )
% 2.94/1.58 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_134_transitions_OPar1B,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_135_transitions_OPar2B,axiom,
% 2.94/1.58 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_136_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: late_subject] :
% 2.94/1.58 ( ( fresh_567880928ubject @ A @ ( produc581368530ubject @ X @ Y ) )
% 2.94/1.58 => ( fresh_717452603ubject @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_137_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: late_freeRes] :
% 2.94/1.58 ( ( fresh_1711070152reeRes @ A @ ( produc1505598906reeRes @ X @ Y ) )
% 2.94/1.58 => ( fresh_1641682979reeRes @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_138_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: name] :
% 2.94/1.58 ( ( fresh_453496559i_name @ A @ ( produc540578151i_name @ X @ Y ) )
% 2.94/1.58 => ( fresh_name_name @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_139_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: pi] :
% 2.94/1.58 ( ( fresh_253309757_pi_pi @ A @ ( produc1820286517_pi_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_name_pi @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_140_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: name > noption_pi] :
% 2.94/1.58 ( ( fresh_225680151ion_pi @ A @ ( produc1342893193ion_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_141_fresh__prodD_I2_J,axiom,
% 2.94/1.58 ! [A: name,X: pi,Y: pi] :
% 2.94/1.58 ( ( fresh_1627595501_pi_pi @ A @ ( product_Pair_pi_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_name_pi @ A @ Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_142_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: late_subject] :
% 2.94/1.58 ( ( fresh_567880928ubject @ A @ ( produc581368530ubject @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_143_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: late_freeRes] :
% 2.94/1.58 ( ( fresh_1711070152reeRes @ A @ ( produc1505598906reeRes @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_144_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: name] :
% 2.94/1.58 ( ( fresh_453496559i_name @ A @ ( produc540578151i_name @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_145_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: pi] :
% 2.94/1.58 ( ( fresh_253309757_pi_pi @ A @ ( produc1820286517_pi_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_146_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: name > noption_pi,Y: name > noption_pi] :
% 2.94/1.58 ( ( fresh_225680151ion_pi @ A @ ( produc1342893193ion_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_543891186ion_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_147_fresh__prodD_I1_J,axiom,
% 2.94/1.58 ! [A: name,X: pi,Y: pi] :
% 2.94/1.58 ( ( fresh_1627595501_pi_pi @ A @ ( product_Pair_pi_pi @ X @ Y ) )
% 2.94/1.58 => ( fresh_name_pi @ A @ X ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_148_Late__Semantics1_Osubject_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [X1: name,X2: name] :
% 2.94/1.58 ( ( late_InputS @ X1 )
% 2.94/1.58 != ( late_BoundOutputS @ X2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_149_subject_Oexhaust,axiom,
% 2.94/1.58 ! [Y: late_subject] :
% 2.94/1.58 ( ! [X12: name] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( late_InputS @ X12 ) )
% 2.94/1.58 => ~ ! [X22: name] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( late_BoundOutputS @ X22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_150_resCases_H,axiom,
% 2.94/1.58 ! [X: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( res @ X @ P ) @ Rs )
% 2.94/1.58 => ( ! [P4: pi,A5: name,B4: name] :
% 2.94/1.58 ( ( ( res @ X @ P )
% 2.94/1.58 = ( res @ B4 @ P4 ) )
% 2.94/1.58 => ! [P3: pi] :
% 2.94/1.58 ( ( Rs
% 2.94/1.58 = ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ B4 @ P3 ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P3 ) )
% 2.94/1.58 => ( A5 = B4 ) ) ) )
% 2.94/1.58 => ( ! [P4: pi,A5: late_subject,X4: name,P3: pi,Y2: name] :
% 2.94/1.58 ( ( ( res @ X @ P )
% 2.94/1.58 = ( res @ Y2 @ P4 ) )
% 2.94/1.58 => ( ( Rs
% 2.94/1.58 = ( late_BoundR @ A5 @ X4 @ ( res @ Y2 @ P3 ) ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Y2 @ A5 )
% 2.94/1.58 => ( ( Y2 != X4 )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P4 )
% 2.94/1.58 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) )
% 2.94/1.58 => ~ ! [P4: pi,Alpha2: late_freeRes,P3: pi,Y2: name] :
% 2.94/1.58 ( ( ( res @ X @ P )
% 2.94/1.58 = ( res @ Y2 @ P4 ) )
% 2.94/1.58 => ( ( Rs
% 2.94/1.58 = ( late_FreeR @ Alpha2 @ ( res @ Y2 @ P3 ) ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.94/1.58 => ~ ( fresh_1641682979reeRes @ Y2 @ Alpha2 ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_151_transitions_OComm1,axiom,
% 2.94/1.58 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B2: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( X != A )
% 2.94/1.58 => ( ( X != B2 )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q2 )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B2 ) @ Q2 ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_152_transitions_OComm2,axiom,
% 2.94/1.58 ! [P: pi,A: name,B2: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ Q )
% 2.94/1.58 => ( ( X != A )
% 2.94/1.58 => ( ( X != B2 )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P2 )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B2 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_153_Late__Semantics_OComm1,axiom,
% 2.94/1.58 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B2: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ Q2 ) )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B2 ) @ Q2 ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_154_Late__Semantics_OComm2,axiom,
% 2.94/1.58 ! [P: pi,A: name,B2: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 2.94/1.58 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B2 ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_155_resCasesB_H,axiom,
% 2.94/1.58 ! [X5: name,P: pi,A: late_subject,Y3: name,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y3 @ P2 ) )
% 2.94/1.58 => ( ! [P4: pi,A5: name,B4: name] :
% 2.94/1.58 ( ( ( res @ X5 @ P )
% 2.94/1.58 = ( res @ B4 @ P4 ) )
% 2.94/1.58 => ! [P3: pi] :
% 2.94/1.58 ( ( ( late_BoundR @ A @ Y3 @ P2 )
% 2.94/1.58 = ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ B4 @ P3 ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P3 ) )
% 2.94/1.58 => ( A5 = B4 ) ) ) )
% 2.94/1.58 => ~ ! [P4: pi,A5: late_subject,X4: name,P3: pi,Y2: name] :
% 2.94/1.58 ( ( ( res @ X5 @ P )
% 2.94/1.58 = ( res @ Y2 @ P4 ) )
% 2.94/1.58 => ( ( ( late_BoundR @ A @ Y3 @ P2 )
% 2.94/1.58 = ( late_BoundR @ A5 @ X4 @ ( res @ Y2 @ P3 ) ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ ( late_BoundR @ A5 @ X4 @ P3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Y2 @ A5 )
% 2.94/1.58 => ( ( Y2 != X4 )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P4 )
% 2.94/1.58 => ~ ( fresh_717452603ubject @ X4 @ A5 ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_156_Late__Semantics1_OfreeRes_Oinject,axiom,
% 2.94/1.58 ! [X11: name,X122: name,Y11: name,Y12: name] :
% 2.94/1.58 ( ( ( late_OutputR @ X11 @ X122 )
% 2.94/1.58 = ( late_OutputR @ Y11 @ Y12 ) )
% 2.94/1.58 = ( ( X11 = Y11 )
% 2.94/1.58 & ( X122 = Y12 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_157_Late__Semantics_OfreeRes_Oinject,axiom,
% 2.94/1.58 ! [X2: name,X1: name,Y22: name,Y1: name] :
% 2.94/1.58 ( ( ( late_OutputR @ X2 @ X1 )
% 2.94/1.58 = ( late_OutputR @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_158_freeRes_Ofresh_I1_J,axiom,
% 2.94/1.58 ! [A: name,X2: name,X1: name] :
% 2.94/1.58 ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X2 )
% 2.94/1.58 & ( fresh_name_name @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_159_freeRes_Oinducts,axiom,
% 2.94/1.58 ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
% 2.94/1.58 ( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
% 2.94/1.58 => ( ( P @ late_TauR )
% 2.94/1.58 => ( P @ FreeRes3 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_160_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name] :
% 2.94/1.58 ( ( late_OutputR @ Name12 @ Name23 )
% 2.94/1.58 != late_TauR ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_161_freeRes_Oexhaust,axiom,
% 2.94/1.58 ! [Y: late_freeRes] :
% 2.94/1.58 ( ! [X112: name,X123: name] :
% 2.94/1.58 ( Y
% 2.94/1.58 != ( late_OutputR @ X112 @ X123 ) )
% 2.94/1.58 => ( Y = late_TauR ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_162_Late__Semantics1_OfreeRes_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [X11: name,X122: name] :
% 2.94/1.58 ( ( late_OutputR @ X11 @ X122 )
% 2.94/1.58 != late_TauR ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_163_Open,axiom,
% 2.94/1.58 ! [P: pi,A: name,B2: name,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) )
% 2.94/1.58 => ( ( A != B2 )
% 2.94/1.58 => ( late_transitions @ ( res @ B2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B2 @ P2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_164_resSimCases,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: late_subject] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [Q3: pi,A5: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 2.94/1.58 => ( ( A5 != X )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A5 )
% 2.94/1.58 => ( ( X != Y2 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ Y2 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_165_resSimCases,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: late_freeRes] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [Q3: pi,A5: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 2.94/1.58 => ( ( A5 != X )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A5 )
% 2.94/1.58 => ( ( X != Y2 )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ Y2 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_166_resSimCases,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: name] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [Q3: pi,A5: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 2.94/1.58 => ( ( A5 != X )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A5 )
% 2.94/1.58 => ( ( X != Y2 )
% 2.94/1.58 => ( ( fresh_name_name @ Y2 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_167_resSimCases,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,X: name,P: pi,C3: pi] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [Q3: pi,A5: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A5 @ X ) @ Q3 ) )
% 2.94/1.58 => ( ( A5 != X )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A5 ) @ X @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,A5: late_subject,Y2: name] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X @ A5 )
% 2.94/1.58 => ( ( X != Y2 )
% 2.94/1.58 => ( ( fresh_name_pi @ Y2 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ ( res @ X @ Q3 ) @ A5 @ Y2 @ Rel ) ) ) ) ) )
% 2.94/1.58 => ( ! [Q3: pi,Alpha2: late_freeRes] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X @ Alpha2 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ ( res @ X @ Q3 ) ) @ Rel ) ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ ( res @ X @ Q ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_168_simE_I1_J,axiom,
% 2.94/1.58 ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject,X: name,Q2: pi] :
% 2.94/1.58 ( ( strong743114133lation @ P @ Rel @ Q )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X @ P )
% 2.94/1.58 => ? [P3: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
% 2.94/1.58 & ( strong2129052853vative @ P3 @ Q2 @ A @ X @ Rel ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_169_simE_I2_J,axiom,
% 2.94/1.58 ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Alpha: late_freeRes,Q2: pi] :
% 2.94/1.58 ( ( strong743114133lation @ P @ Rel @ Q )
% 2.94/1.58 => ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 2.94/1.58 => ? [P3: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P3 @ Q2 ) @ Rel ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_170_simCases,axiom,
% 2.94/1.58 ! [Q: pi,P: pi,Rel: set_Pr1834926343_pi_pi] :
% 2.94/1.58 ( ! [A5: late_subject,Y2: name,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ Y2 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ Y2 @ P )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ Y2 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ Y2 @ Rel ) ) ) )
% 2.94/1.58 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_171_simulation__def,axiom,
% 2.94/1.58 ( strong743114133lation
% 2.94/1.58 = ( ^ [P7: pi,Rel2: set_Pr1834926343_pi_pi,Q5: pi] :
% 2.94/1.58 ( ! [A2: late_subject,X3: name,Q6: pi] :
% 2.94/1.58 ( ( ( late_transitions @ Q5 @ ( late_BoundR @ A2 @ X3 @ Q6 ) )
% 2.94/1.58 & ( fresh_name_pi @ X3 @ P7 ) )
% 2.94/1.58 => ? [P8: pi] :
% 2.94/1.58 ( ( late_transitions @ P7 @ ( late_BoundR @ A2 @ X3 @ P8 ) )
% 2.94/1.58 & ( strong2129052853vative @ P8 @ Q6 @ A2 @ X3 @ Rel2 ) ) )
% 2.94/1.58 & ! [Alpha3: late_freeRes,Q6: pi] :
% 2.94/1.58 ( ( late_transitions @ Q5 @ ( late_FreeR @ Alpha3 @ Q6 ) )
% 2.94/1.58 => ? [P8: pi] :
% 2.94/1.58 ( ( late_transitions @ P7 @ ( late_FreeR @ Alpha3 @ P8 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P8 @ Q6 ) @ Rel2 ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_172_parSym,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi] :
% 2.94/1.58 ( ! [R2: pi,S2: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ R2 @ S2 ) @ ( par @ S2 @ R2 ) ) @ Rel )
% 2.94/1.58 => ( ! [R2: pi,S2: pi,X4: name] :
% 2.94/1.58 ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ R2 @ S2 ) @ Rel )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ R2 ) @ ( res @ X4 @ S2 ) ) @ Rel ) )
% 2.94/1.58 => ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_173_simCasesCont,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: late_subject] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X4 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 2.94/1.58 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_174_simCasesCont,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: late_freeRes] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 2.94/1.58 => ( ( fresh_1641682979reeRes @ X4 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 2.94/1.58 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_175_simCasesCont,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: name] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 2.94/1.58 => ( ( fresh_name_name @ X4 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 2.94/1.58 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_176_simCasesCont,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,Q: pi,P: pi,C3: pi] :
% 2.94/1.58 ( ( eqvt_pi @ Rel )
% 2.94/1.58 => ( ! [A5: late_subject,X4: name,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_BoundR @ A5 @ X4 @ Q3 ) )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ P )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ Q )
% 2.94/1.58 => ( ( fresh_717452603ubject @ X4 @ A5 )
% 2.94/1.58 => ( ( fresh_name_pi @ X4 @ C3 )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_BoundR @ A5 @ X4 @ P6 ) )
% 2.94/1.58 & ( strong2129052853vative @ P6 @ Q3 @ A5 @ X4 @ Rel ) ) ) ) ) ) )
% 2.94/1.58 => ( ! [Alpha2: late_freeRes,Q3: pi] :
% 2.94/1.58 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.94/1.58 => ? [P6: pi] :
% 2.94/1.58 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P6 ) )
% 2.94/1.58 & ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P6 @ Q3 ) @ Rel ) ) )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_177_parAssocLeft,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,P: pi,Q: pi,R: pi] :
% 2.94/1.58 ( ! [S2: pi,T: pi,U: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( par @ S2 @ T ) @ U ) @ ( par @ S2 @ ( par @ T @ U ) ) ) @ Rel )
% 2.94/1.58 => ( ! [S2: pi,T: pi,X4: name] :
% 2.94/1.58 ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ S2 @ T ) @ Rel )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ S2 ) @ ( res @ X4 @ T ) ) @ Rel ) )
% 2.94/1.58 => ( ! [S2: pi,T: pi,U: pi,X4: name] :
% 2.94/1.58 ( ( fresh_name_pi @ X4 @ S2 )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X4 @ ( par @ ( par @ S2 @ T ) @ U ) ) @ ( par @ S2 @ ( res @ X4 @ ( par @ T @ U ) ) ) ) @ Rel ) )
% 2.94/1.58 => ( ! [S2: pi,T: pi,U: pi,X4: name] :
% 2.94/1.58 ( ( fresh_name_pi @ X4 @ U )
% 2.94/1.58 => ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ X4 @ ( par @ S2 @ T ) ) @ U ) @ ( res @ X4 @ ( par @ S2 @ ( par @ T @ U ) ) ) ) @ Rel ) )
% 2.94/1.58 => ( strong743114133lation @ ( par @ ( par @ P @ Q ) @ R ) @ Rel @ ( par @ P @ ( par @ Q @ R ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_178_resTauOutputTrans,axiom,
% 2.94/1.58 ! [X: name,P: pi,A: name,B2: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_179_resOutputTauTrans,axiom,
% 2.94/1.58 ! [X: name,A: name,B2: name,P: pi,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B2 @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_180_resOutputInputTrans,axiom,
% 2.94/1.58 ! [X: name,A: name,B2: name,P: pi,C2: name,Y: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B2 @ P ) ) @ ( late_BoundR @ ( late_InputS @ C2 ) @ Y @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_181_resOutputOutputTrans,axiom,
% 2.94/1.58 ! [X: name,A: name,P: pi,B2: name,Y: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( output @ A @ X @ P ) ) @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_182_pi_Ofresh_I3_J,axiom,
% 2.94/1.58 ! [A: name,X1: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( tau @ X1 ) )
% 2.94/1.58 = ( fresh_name_pi @ A @ X1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_183_simps_I2_J,axiom,
% 2.94/1.58 ! [P: pi,C2: name,D: name] :
% 2.94/1.58 ( ( subs @ ( tau @ P ) @ C2 @ D )
% 2.94/1.58 = ( tau @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_184_pi_Ofresh_I2_J,axiom,
% 2.94/1.58 ! [A: name,X32: name,X2: name,X1: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( output @ X32 @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X32 )
% 2.94/1.58 & ( fresh_name_name @ A @ X2 )
% 2.94/1.58 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_185_pi_Oinject_I2_J,axiom,
% 2.94/1.58 ! [X1: pi,Y1: pi] :
% 2.94/1.58 ( ( ( tau @ X1 )
% 2.94/1.58 = ( tau @ Y1 ) )
% 2.94/1.58 = ( X1 = Y1 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_186_pi_Oinject_I1_J,axiom,
% 2.94/1.58 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 2.94/1.58 ( ( ( output @ X32 @ X2 @ X1 )
% 2.94/1.58 = ( output @ Y32 @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X32 = Y32 )
% 2.94/1.58 & ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_187_pi_Odistinct_I19_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( tau @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_188_pi_Odistinct_I31_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_189_pi_Odistinct_I29_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_190_pi_Odistinct_I45_J,axiom,
% 2.94/1.58 ! [Pi4: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( tau @ Pi4 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_191_pi_Odistinct_I43_J,axiom,
% 2.94/1.58 ! [Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( ( tau @ Pi4 )
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_192_resTrans_I1_J,axiom,
% 2.94/1.58 ! [X: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( output @ X @ B2 @ P ) ) @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_193_outputBoundTrans,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,C2: late_subject,X: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_BoundR @ C2 @ X @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_194_tauBoundTrans,axiom,
% 2.94/1.58 ! [P: pi,A: late_subject,X: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_195_resTauBoundTrans,axiom,
% 2.94/1.58 ! [X: name,P: pi,A: late_subject,Y: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_BoundR @ A @ Y @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_196_Output,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi] : ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_197_outputIneqTrans,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,C2: name,D: name,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ C2 @ D ) @ P2 ) )
% 2.94/1.58 => ~ ( ( A != C2 )
% 2.94/1.58 | ( B2 != D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_198_outputCases_H,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ~ ! [A5: name,B4: name,P4: pi] :
% 2.94/1.58 ( ( ( A = A5 )
% 2.94/1.58 & ( B2 = B4 )
% 2.94/1.58 & ( P = P4 ) )
% 2.94/1.58 => ( Rs
% 2.94/1.58 != ( late_FreeR @ ( late_OutputR @ A5 @ B4 ) @ P4 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_199_outputCases,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 2.94/1.58 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( ( ( Alpha
% 2.94/1.58 = ( late_OutputR @ A @ B2 ) )
% 2.94/1.58 => ( ( P = P2 )
% 2.94/1.58 => ( Prop @ ( late_OutputR @ A @ B2 ) @ P ) ) )
% 2.94/1.58 => ( Prop @ Alpha @ P2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_200_outputTauTrans,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_201_tauOutputTrans,axiom,
% 2.94/1.58 ! [P: pi,A: name,B2: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B2 ) @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_202_Tau,axiom,
% 2.94/1.58 ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_203_tauCases_H,axiom,
% 2.94/1.58 ! [P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( tau @ P ) @ Rs )
% 2.94/1.58 => ~ ! [P4: pi] :
% 2.94/1.58 ( ( ( tau @ P )
% 2.94/1.58 = ( tau @ P4 ) )
% 2.94/1.58 => ( Rs
% 2.94/1.58 != ( late_FreeR @ late_TauR @ P4 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_204_tauCases,axiom,
% 2.94/1.58 ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 2.94/1.58 ( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ( ( ( Alpha = late_TauR )
% 2.94/1.58 => ( ( P = P2 )
% 2.94/1.58 => ( Prop @ late_TauR @ P ) ) )
% 2.94/1.58 => ( Prop @ Alpha @ P2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_205_outputFreshTrans,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( output @ A @ B2 @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 2.94/1.58 => ~ ( ( fresh_1641682979reeRes @ A @ Alpha )
% 2.94/1.58 | ( fresh_1641682979reeRes @ B2 @ Alpha ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_206_resInputBoundOutputTrans,axiom,
% 2.94/1.58 ! [X: name,A: name,Y: name,P: pi,B2: name,Z: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Z @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_207_residual_Ofresh_I1_J,axiom,
% 2.94/1.58 ! [A: name,X32: late_subject,X1: name,X2: pi] :
% 2.94/1.58 ( ( fresh_81631222sidual @ A @ ( late_BoundR @ X32 @ X1 @ X2 ) )
% 2.94/1.58 = ( ( fresh_717452603ubject @ A @ X32 )
% 2.94/1.58 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_208_simps_I3_J,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 2.94/1.58 ( ( subs @ ( output @ A @ B2 @ P ) @ C2 @ D )
% 2.94/1.58 = ( output @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_209_simps_I4_J,axiom,
% 2.94/1.58 ! [X: name,A: name,C2: name,D: name,P: pi] :
% 2.94/1.58 ( ( X != A )
% 2.94/1.58 => ( ( X != C2 )
% 2.94/1.58 => ( ( X != D )
% 2.94/1.58 => ( ( subs @ ( input @ A @ X @ P ) @ C2 @ D )
% 2.94/1.58 = ( input @ ( subst_name @ A @ C2 @ D ) @ X @ ( subs @ P @ C2 @ D ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_210_substInput,axiom,
% 2.94/1.58 ! [X: name,B2: name,C2: name,A: name,P: pi] :
% 2.94/1.58 ( ( X != B2 )
% 2.94/1.58 => ( ( X != C2 )
% 2.94/1.58 => ( ( subs @ ( input @ A @ X @ P ) @ B2 @ C2 )
% 2.94/1.58 = ( input @ ( subst_name @ A @ B2 @ C2 ) @ X @ ( subs @ P @ B2 @ C2 ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_211_pi_Ofresh_I9_J,axiom,
% 2.94/1.58 ! [A: name,X1: name,X2: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
% 2.94/1.58 = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_212_pi_Ofresh_I4_J,axiom,
% 2.94/1.58 ! [A: name,X32: name,X1: name,X2: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( input @ X32 @ X1 @ X2 ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X32 )
% 2.94/1.58 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_213_pi_Odistinct_I57_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_214_pi_Odistinct_I55_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_215_pi_Oinject_I8_J,axiom,
% 2.94/1.58 ! [X1: name,X2: pi,Y1: name,Y22: pi] :
% 2.94/1.58 ( ( ( res @ X1 @ X2 )
% 2.94/1.58 = ( res @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( abs_fun_name_pi @ X1 @ X2 )
% 2.94/1.58 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_216_subst__name__def,axiom,
% 2.94/1.58 ( subst_name
% 2.94/1.58 = ( ^ [A2: name,B: name,C4: name] : ( if_name @ ( A2 = B ) @ C4 @ A2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_217_pi_Oinject_I3_J,axiom,
% 2.94/1.58 ! [X32: name,X1: name,X2: pi,Y32: name,Y1: name,Y22: pi] :
% 2.94/1.58 ( ( ( input @ X32 @ X1 @ X2 )
% 2.94/1.58 = ( input @ Y32 @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X32 = Y32 )
% 2.94/1.58 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 2.94/1.58 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_218_abs__fun__eq1,axiom,
% 2.94/1.58 ! [A: name,X: name,Y: name] :
% 2.94/1.58 ( ( ( abs_fun_name_name @ A @ X )
% 2.94/1.58 = ( abs_fun_name_name @ A @ Y ) )
% 2.94/1.58 = ( X = Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_219_abs__fun__eq1,axiom,
% 2.94/1.58 ! [A: name,X: late_freeRes,Y: late_freeRes] :
% 2.94/1.58 ( ( ( abs_fu681348580reeRes @ A @ X )
% 2.94/1.58 = ( abs_fu681348580reeRes @ A @ Y ) )
% 2.94/1.58 = ( X = Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_220_abs__fun__eq1,axiom,
% 2.94/1.58 ! [A: name,X: late_subject,Y: late_subject] :
% 2.94/1.58 ( ( ( abs_fu1904601852ubject @ A @ X )
% 2.94/1.58 = ( abs_fu1904601852ubject @ A @ Y ) )
% 2.94/1.58 = ( X = Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_221_abs__fun__eq1,axiom,
% 2.94/1.58 ! [A: name,X: pi,Y: pi] :
% 2.94/1.58 ( ( ( abs_fun_name_pi @ A @ X )
% 2.94/1.58 = ( abs_fun_name_pi @ A @ Y ) )
% 2.94/1.58 = ( X = Y ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_222_name__fresh__abs,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: late_subject] :
% 2.94/1.58 ( ( fresh_728038529ubject @ B2 @ ( abs_fu1904601852ubject @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_717452603ubject @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_223_name__fresh__abs,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: late_freeRes] :
% 2.94/1.58 ( ( fresh_785364841reeRes @ B2 @ ( abs_fu681348580reeRes @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_1641682979reeRes @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_224_name__fresh__abs,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: name] :
% 2.94/1.58 ( ( fresh_1093033124n_name @ B2 @ ( abs_fun_name_name @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_name_name @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_225_name__fresh__abs,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: pi] :
% 2.94/1.58 ( ( fresh_543891186ion_pi @ B2 @ ( abs_fun_name_pi @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_name_pi @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_226_abs__fresh_I1_J,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: late_subject] :
% 2.94/1.58 ( ( fresh_728038529ubject @ B2 @ ( abs_fu1904601852ubject @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_717452603ubject @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_227_abs__fresh_I1_J,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: late_freeRes] :
% 2.94/1.58 ( ( fresh_785364841reeRes @ B2 @ ( abs_fu681348580reeRes @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_1641682979reeRes @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_228_abs__fresh_I1_J,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: name] :
% 2.94/1.58 ( ( fresh_1093033124n_name @ B2 @ ( abs_fun_name_name @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_name_name @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_229_abs__fresh_I1_J,axiom,
% 2.94/1.58 ! [B2: name,A: name,X: pi] :
% 2.94/1.58 ( ( fresh_543891186ion_pi @ B2 @ ( abs_fun_name_pi @ A @ X ) )
% 2.94/1.58 = ( ( B2 = A )
% 2.94/1.58 | ( fresh_name_pi @ B2 @ X ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_230_residual_Oinject_I1_J,axiom,
% 2.94/1.58 ! [X32: late_subject,X1: name,X2: pi,Y32: late_subject,Y1: name,Y22: pi] :
% 2.94/1.58 ( ( ( late_BoundR @ X32 @ X1 @ X2 )
% 2.94/1.58 = ( late_BoundR @ Y32 @ Y1 @ Y22 ) )
% 2.94/1.58 = ( ( X32 = Y32 )
% 2.94/1.58 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 2.94/1.58 = ( abs_fun_name_pi @ Y1 @ Y22 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_231_pi_Odistinct_I21_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_232_pi_Odistinct_I35_J,axiom,
% 2.94/1.58 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( tau @ Pi4 )
% 2.94/1.58 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_233_inputCases_H,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( input @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ~ ! [X4: name,A5: name,P4: pi] :
% 2.94/1.58 ( ( ( A = A5 )
% 2.94/1.58 & ( ( abs_fun_name_pi @ B2 @ P )
% 2.94/1.58 = ( abs_fun_name_pi @ X4 @ P4 ) ) )
% 2.94/1.58 => ( ( Rs
% 2.94/1.58 = ( late_BoundR @ ( late_InputS @ A5 ) @ X4 @ P4 ) )
% 2.94/1.58 => ( X4 = A5 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_234_resTrans_I2_J,axiom,
% 2.94/1.58 ! [X: name,Y: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_235_inputFreeTrans,axiom,
% 2.94/1.58 ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_236_resInputFreeTrans,axiom,
% 2.94/1.58 ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_237_Late__Semantics_OInput,axiom,
% 2.94/1.58 ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_238_transitions_OInput,axiom,
% 2.94/1.58 ! [X: name,A: name,P: pi] :
% 2.94/1.58 ( ( X != A )
% 2.94/1.58 => ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_239_inputBoundOutputTrans,axiom,
% 2.94/1.58 ! [A: name,X: name,P: pi,B2: name,Y: name,P2: pi] :
% 2.94/1.58 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Y @ P2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_240_inputIneqTrans,axiom,
% 2.94/1.58 ! [A: name,X: name,P: pi,B2: late_subject,Y: name,P2: pi] :
% 2.94/1.58 ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B2 @ Y @ P2 ) )
% 2.94/1.58 => ~ ( fresh_717452603ubject @ A @ B2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_241_parZeroRight,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 2.94/1.58 ( ! [Q4: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ Q4 @ ( par @ Q4 @ piNil ) ) @ Rel )
% 2.94/1.58 => ( strong743114133lation @ P @ Rel @ ( par @ P @ piNil ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_242_parZeroLeft,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 2.94/1.58 ( ! [Q4: pi] : ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ Q4 @ piNil ) @ Q4 ) @ Rel )
% 2.94/1.58 => ( strong743114133lation @ ( par @ P @ piNil ) @ Rel @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_243_simps_I6_J,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 2.94/1.58 ( ( subs @ ( mismatch @ A @ B2 @ P ) @ C2 @ D )
% 2.94/1.58 = ( mismatch @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_244_pi_Ofresh_I1_J,axiom,
% 2.94/1.58 ! [A: name] : ( fresh_name_pi @ A @ piNil ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_245_simps_I1_J,axiom,
% 2.94/1.58 ! [C2: name,D: name] :
% 2.94/1.58 ( ( subs @ piNil @ C2 @ D )
% 2.94/1.58 = piNil ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_246_pi_Ofresh_I6_J,axiom,
% 2.94/1.58 ! [A: name,X32: name,X2: name,X1: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( mismatch @ X32 @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X32 )
% 2.94/1.58 & ( fresh_name_name @ A @ X2 )
% 2.94/1.58 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_247_pi_Odistinct_I5_J,axiom,
% 2.94/1.58 ! [Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( input @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_248_pi_Odistinct_I51_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_249_pi_Odistinct_I75_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( mismatch @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_250_pi_Odistinct_I73_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( ( mismatch @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_251_pi_Odistinct_I15_J,axiom,
% 2.94/1.58 ! [Name: name,Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_252_pi_Odistinct_I13_J,axiom,
% 2.94/1.58 ! [Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_253_pi_Odistinct_I25_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_254_nilSimRight,axiom,
% 2.94/1.58 ! [P: pi,Rel: set_Pr1834926343_pi_pi] : ( strong743114133lation @ P @ Rel @ piNil ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_255_pi_Odistinct_I1_J,axiom,
% 2.94/1.58 ! [Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( output @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_256_pi_Odistinct_I39_J,axiom,
% 2.94/1.58 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( tau @ Pi4 )
% 2.94/1.58 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_257_pi_Odistinct_I3_J,axiom,
% 2.94/1.58 ! [Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( tau @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_258_mismatchNilLeft,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,A: name,P: pi] : ( strong743114133lation @ piNil @ Rel @ ( mismatch @ A @ A @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_259_pi_Oinject_I5_J,axiom,
% 2.94/1.58 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 2.94/1.58 ( ( ( mismatch @ X32 @ X2 @ X1 )
% 2.94/1.58 = ( mismatch @ Y32 @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X32 = Y32 )
% 2.94/1.58 & ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_260_pi_Odistinct_I9_J,axiom,
% 2.94/1.58 ! [Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_261_nilCases_H,axiom,
% 2.94/1.58 ! [Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ piNil @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_262_zeroTrans,axiom,
% 2.94/1.58 ! [Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ piNil @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_263_mismatchCases,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 2.94/1.58 ( ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ( ( ( late_transitions @ P @ Rs )
% 2.94/1.58 => ( ( A != B2 )
% 2.94/1.58 => ( F @ A @ B2 ) ) )
% 2.94/1.58 => ( F @ A @ B2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_264_mismatchTrans,axiom,
% 2.94/1.58 ! [A: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_265_mismatchCases_H,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ~ ! [P4: pi,A5: name,B4: name] :
% 2.94/1.58 ( ( ( A = A5 )
% 2.94/1.58 & ( B2 = B4 )
% 2.94/1.58 & ( P = P4 ) )
% 2.94/1.58 => ( ( late_transitions @ P4 @ Rs )
% 2.94/1.58 => ( A5 = B4 ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_266_Mismatch,axiom,
% 2.94/1.58 ! [P: pi,Rs: late_residual,A: name,B2: name] :
% 2.94/1.58 ( ( late_transitions @ P @ Rs )
% 2.94/1.58 => ( ( A != B2 )
% 2.94/1.58 => ( late_transitions @ ( mismatch @ A @ B2 @ P ) @ Rs ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_267_resZeroTrans,axiom,
% 2.94/1.58 ! [X: name,Rs: late_residual] :
% 2.94/1.58 ~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_268_nilSim_I2_J,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,A: name,X: name,P: pi] :
% 2.94/1.58 ~ ( strong743114133lation @ piNil @ Rel @ ( input @ A @ X @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_269_nilSim_I3_J,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,A: name,B2: name,P: pi] :
% 2.94/1.58 ~ ( strong743114133lation @ piNil @ Rel @ ( output @ A @ B2 @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_270_nilSim_I1_J,axiom,
% 2.94/1.58 ! [Rel: set_Pr1834926343_pi_pi,P: pi] :
% 2.94/1.58 ~ ( strong743114133lation @ piNil @ Rel @ ( tau @ P ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_271_simps_I5_J,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,C2: name,D: name] :
% 2.94/1.58 ( ( subs @ ( match @ A @ B2 @ P ) @ C2 @ D )
% 2.94/1.58 = ( match @ ( subst_name @ A @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_272_pi_Ofresh_I5_J,axiom,
% 2.94/1.58 ! [A: name,X32: name,X2: name,X1: pi] :
% 2.94/1.58 ( ( fresh_name_pi @ A @ ( match @ X32 @ X2 @ X1 ) )
% 2.94/1.58 = ( ( fresh_name_name @ A @ X32 )
% 2.94/1.58 & ( fresh_name_name @ A @ X2 )
% 2.94/1.58 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_273_pi_Odistinct_I61_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( match @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( mismatch @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_274_pi_Odistinct_I7_J,axiom,
% 2.94/1.58 ! [Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( piNil
% 2.94/1.58 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_275_Match,axiom,
% 2.94/1.58 ! [P: pi,Rs: late_residual,B2: name] :
% 2.94/1.58 ( ( late_transitions @ P @ Rs )
% 2.94/1.58 => ( late_transitions @ ( match @ B2 @ B2 @ P ) @ Rs ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_276_matchCases_H,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ~ ! [P4: pi] :
% 2.94/1.58 ( ( ( B2 = A )
% 2.94/1.58 & ( P = P4 ) )
% 2.94/1.58 => ~ ( late_transitions @ P4 @ Rs ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_277_matchTrans,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual] :
% 2.94/1.58 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ( A = B2 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_278_matchCases,axiom,
% 2.94/1.58 ! [A: name,B2: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 2.94/1.58 ( ( late_transitions @ ( match @ A @ B2 @ P ) @ Rs )
% 2.94/1.58 => ( ( ( late_transitions @ P @ Rs )
% 2.94/1.58 => ( ( A = B2 )
% 2.94/1.58 => ( F @ A @ A ) ) )
% 2.94/1.58 => ( F @ A @ B2 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_279_pi_Oinject_I4_J,axiom,
% 2.94/1.58 ! [X32: name,X2: name,X1: pi,Y32: name,Y22: name,Y1: pi] :
% 2.94/1.58 ( ( ( match @ X32 @ X2 @ X1 )
% 2.94/1.58 = ( match @ Y32 @ Y22 @ Y1 ) )
% 2.94/1.58 = ( ( X32 = Y32 )
% 2.94/1.58 & ( X2 = Y22 )
% 2.94/1.58 & ( X1 = Y1 ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_280_pi_Odistinct_I37_J,axiom,
% 2.94/1.58 ! [Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( tau @ Pi4 )
% 2.94/1.58 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_281_pi_Odistinct_I23_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_282_pi_Odistinct_I65_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.58 ( ( match @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_283_pi_Odistinct_I67_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name: name,Pi: pi] :
% 2.94/1.58 ( ( match @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( res @ Name @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_284_pi_Odistinct_I49_J,axiom,
% 2.94/1.58 ! [Name12: name,Name23: name,Pi4: pi,Name13: name,Name24: name,Pi: pi] :
% 2.94/1.58 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.58 != ( match @ Name13 @ Name24 @ Pi ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_285_matchNilLeft,axiom,
% 2.94/1.58 ! [A: name,B2: name,Rel: set_Pr1834926343_pi_pi,P: pi] :
% 2.94/1.58 ( ( A != B2 )
% 2.94/1.58 => ( strong743114133lation @ piNil @ Rel @ ( match @ A @ B2 @ P ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_286_pi_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: late_subject > pi > $o,Z: late_subject,Pi4: pi] :
% 2.94/1.58 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 2.94/1.58 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.58 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 2.94/1.58 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 2.94/1.58 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.58 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 2.94/1.58 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 2.94/1.58 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.58 => ( ! [Name2: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 2.94/1.58 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [Pi3: pi,Z2: late_subject] :
% 2.94/1.58 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.58 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_287_pi_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi4: pi] :
% 2.94/1.58 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 2.94/1.58 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.58 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 2.94/1.58 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 2.94/1.58 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.58 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 2.94/1.58 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 2.94/1.58 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.58 => ( ! [Name2: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 2.94/1.58 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.58 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 2.94/1.58 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.58 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.58
% 2.94/1.58 thf(fact_288_pi_Ostrong__induct,axiom,
% 2.94/1.58 ! [P: name > pi > $o,Z: name,Pi4: pi] :
% 2.94/1.58 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi3: pi,Z2: name] :
% 2.94/1.58 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ( fresh_name_name @ Name22 @ Z2 )
% 2.94/1.58 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.58 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.58 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.58 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.58 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 2.94/1.58 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 2.94/1.58 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 2.94/1.58 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ( fresh_name_name @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_289_pi_Ostrong__induct,axiom,
% 2.94/1.59 ! [P: pi > pi > $o,Z: pi,Pi4: pi] :
% 2.94/1.59 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ Name22 @ Z2 )
% 2.94/1.59 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_290_pi_Ostrong__inducts,axiom,
% 2.94/1.59 ! [P: late_subject > pi > $o,Z: late_subject,Pi4: pi] :
% 2.94/1.59 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 2.94/1.59 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.59 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: late_subject] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ( fresh_717452603ubject @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: late_subject] :
% 2.94/1.59 ( ! [Za: late_subject] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_291_pi_Ostrong__inducts,axiom,
% 2.94/1.59 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi4: pi] :
% 2.94/1.59 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 2.94/1.59 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.59 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ( fresh_1641682979reeRes @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: late_freeRes] :
% 2.94/1.59 ( ! [Za: late_freeRes] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_292_pi_Ostrong__inducts,axiom,
% 2.94/1.59 ! [P: name > pi > $o,Z: name,Pi4: pi] :
% 2.94/1.59 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ( fresh_name_name @ Name22 @ Z2 )
% 2.94/1.59 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: name] :
% 2.94/1.59 ( ( fresh_name_name @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: name] :
% 2.94/1.59 ( ! [Za: name] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_293_pi_Ostrong__inducts,axiom,
% 2.94/1.59 ! [P: pi > pi > $o,Z: pi,Pi4: pi] :
% 2.94/1.59 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( tau @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ Name22 @ Z2 )
% 2.94/1.59 => ( ( fresh_name_name @ Name22 @ Name1 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi3 ) ) ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Name1: name,Name22: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi3 ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Pi13: pi,Pi23: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi23 )
% 2.94/1.59 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.94/1.59 => ( ! [Name2: name,Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ Name2 @ Z2 )
% 2.94/1.59 => ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( res @ Name2 @ Pi3 ) ) ) )
% 2.94/1.59 => ( ! [Pi3: pi,Z2: pi] :
% 2.94/1.59 ( ! [Za: pi] : ( P @ Za @ Pi3 )
% 2.94/1.59 => ( P @ Z2 @ ( bang @ Pi3 ) ) )
% 2.94/1.59 => ( P @ Z @ Pi4 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_294_pi_Ofresh_I10_J,axiom,
% 2.94/1.59 ! [A: name,X1: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ A @ ( bang @ X1 ) )
% 2.94/1.59 = ( fresh_name_pi @ A @ X1 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_295_pi_Ofresh_I7_J,axiom,
% 2.94/1.59 ! [A: name,X2: pi,X1: pi] :
% 2.94/1.59 ( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
% 2.94/1.59 = ( ( fresh_name_pi @ A @ X2 )
% 2.94/1.59 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_296_simps_I10_J,axiom,
% 2.94/1.59 ! [P: pi,C2: name,D: name] :
% 2.94/1.59 ( ( subs @ ( bang @ P ) @ C2 @ D )
% 2.94/1.59 = ( bang @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_297_simps_I7_J,axiom,
% 2.94/1.59 ! [P: pi,Q: pi,C2: name,D: name] :
% 2.94/1.59 ( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
% 2.94/1.59 = ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_298_pi_Odistinct_I63_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.59 ( ( match @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_299_pi_Odistinct_I69_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 2.94/1.59 ( ( match @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_300_bangCases,axiom,
% 2.94/1.59 ! [P: pi,Rs: late_residual] :
% 2.94/1.59 ( ( late_transitions @ ( bang @ P ) @ Rs )
% 2.94/1.59 => ~ ! [P4: pi] :
% 2.94/1.59 ( ( ( bang @ P )
% 2.94/1.59 = ( bang @ P4 ) )
% 2.94/1.59 => ~ ( late_transitions @ ( par @ P4 @ ( bang @ P4 ) ) @ Rs ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_301_Bang,axiom,
% 2.94/1.59 ! [P: pi,Rs: late_residual] :
% 2.94/1.59 ( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
% 2.94/1.59 => ( late_transitions @ ( bang @ P ) @ Rs ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_302_pi_Odistinct_I53_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.59 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_303_pi_Odistinct_I59_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 2.94/1.59 ( ( input @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_304_pi_Odistinct_I89_J,axiom,
% 2.94/1.59 ! [Name3: name,Pi4: pi,Pi: pi] :
% 2.94/1.59 ( ( res @ Name3 @ Pi4 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_305_pi_Odistinct_I87_J,axiom,
% 2.94/1.59 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 2.94/1.59 ( ( par @ Pi1 @ Pi2 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_306_sumCases,axiom,
% 2.94/1.59 ! [P: pi,Q: pi,Rs: late_residual] :
% 2.94/1.59 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 2.94/1.59 => ( ~ ( late_transitions @ P @ Rs )
% 2.94/1.59 => ( late_transitions @ Q @ Rs ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_307_sumCases_H,axiom,
% 2.94/1.59 ! [P: pi,Q: pi,Rs: late_residual] :
% 2.94/1.59 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 2.94/1.59 => ( ~ ( late_transitions @ P @ Rs )
% 2.94/1.59 => ( late_transitions @ Q @ Rs ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_308_Sum1,axiom,
% 2.94/1.59 ! [P: pi,Rs: late_residual,Q: pi] :
% 2.94/1.59 ( ( late_transitions @ P @ Rs )
% 2.94/1.59 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_309_Sum2,axiom,
% 2.94/1.59 ! [Q: pi,Rs: late_residual,P: pi] :
% 2.94/1.59 ( ( late_transitions @ Q @ Rs )
% 2.94/1.59 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_310_pi_Odistinct_I81_J,axiom,
% 2.94/1.59 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 2.94/1.59 ( ( sum @ Pi1 @ Pi2 )
% 2.94/1.59 != ( res @ Name @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_311_pi_Odistinct_I79_J,axiom,
% 2.94/1.59 ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.59 ( ( sum @ Pi1 @ Pi2 )
% 2.94/1.59 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_312_pi_Oinject_I9_J,axiom,
% 2.94/1.59 ! [X1: pi,Y1: pi] :
% 2.94/1.59 ( ( ( bang @ X1 )
% 2.94/1.59 = ( bang @ Y1 ) )
% 2.94/1.59 = ( X1 = Y1 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_313_pi_Oinject_I6_J,axiom,
% 2.94/1.59 ! [X2: pi,X1: pi,Y22: pi,Y1: pi] :
% 2.94/1.59 ( ( ( sum @ X2 @ X1 )
% 2.94/1.59 = ( sum @ Y22 @ Y1 ) )
% 2.94/1.59 = ( ( X2 = Y22 )
% 2.94/1.59 & ( X1 = Y1 ) ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_314_pi_Odistinct_I83_J,axiom,
% 2.94/1.59 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 2.94/1.59 ( ( sum @ Pi1 @ Pi2 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_315_pi_Odistinct_I27_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.59 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_316_pi_Odistinct_I33_J,axiom,
% 2.94/1.59 ! [Name12: name,Name23: name,Pi4: pi,Pi: pi] :
% 2.94/1.59 ( ( output @ Name12 @ Name23 @ Pi4 )
% 2.94/1.59 != ( bang @ Pi ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(fact_317_pi_Odistinct_I41_J,axiom,
% 2.94/1.59 ! [Pi4: pi,Pi12: pi,Pi22: pi] :
% 2.94/1.59 ( ( tau @ Pi4 )
% 2.94/1.59 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(help_If_3_1_If_001t__Agent__Oname_T,axiom,
% 2.94/1.59 ! [P: $o] :
% 2.94/1.59 ( ( P = $true )
% 2.94/1.59 | ( P = $false ) ) ).
% 2.94/1.59
% 2.94/1.59 thf(help_If_2_1_If_001t__Agent__Oname_T,axiom,
% 2.94/1.59 ! [X: name,Y: name] :
% 2.94/1.59 ( ( if_name @ $false @ X @ Y )
% 2.94/1.59 = Y ) ).
% 2.94/1.59
% 2.94/1.59 thf(help_If_1_1_If_001t__Agent__Oname_T,axiom,
% 2.94/1.59 ! [X: name,Y: name] :
% 2.94/1.59 ( ( if_name @ $true @ X @ Y )
% 2.94/1.59 = X ) ).
% 2.94/1.59
% 2.94/1.59 thf(conj_0,conjecture,
% 2.94/1.59 x != aa ).
% 2.94/1.59 ------------------------
% 3.03/1.63 % (15649)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/2Mi)
% 3.03/1.63 % (15649)Instruction limit reached!
% 3.03/1.63 % (15649)------------------------------
% 3.03/1.63 % (15649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.63 % (15649)Termination reason: Unknown
% 3.03/1.63 % (15649)Termination phase: shuffling
% 3.03/1.63
% 3.03/1.63 % (15649)Memory used [KB]: 1535
% 3.03/1.63 % (15649)Time elapsed: 0.003 s
% 3.03/1.63 % (15649)Instructions burned: 2 (million)
% 3.03/1.63 % (15649)------------------------------
% 3.03/1.63 % (15649)------------------------------
% 3.03/1.63 % (15645)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/183Mi)
% 3.03/1.63 % (15646)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/4Mi)
% 3.03/1.63 % (15647)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/27Mi)
% 3.03/1.63 % (15648)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/2Mi)
% 3.03/1.63 % (15650)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/275Mi)
% 3.03/1.63 % (15651)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/18Mi)
% 3.03/1.63 % (15648)Instruction limit reached!
% 3.03/1.63 % (15648)------------------------------
% 3.03/1.63 % (15648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.63 % (15648)Termination reason: Unknown
% 3.03/1.63 % (15648)Termination phase: shuffling
% 3.03/1.63
% 3.03/1.63 % (15648)Memory used [KB]: 1535
% 3.03/1.63 % (15648)Time elapsed: 0.004 s
% 3.03/1.63 % (15648)Instructions burned: 2 (million)
% 3.03/1.63 % (15648)------------------------------
% 3.03/1.63 % (15648)------------------------------
% 3.03/1.64 % (15646)Instruction limit reached!
% 3.03/1.64 % (15646)------------------------------
% 3.03/1.64 % (15646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.64 % (15646)Termination reason: Unknown
% 3.03/1.64 % (15646)Termination phase: shuffling
% 3.03/1.64
% 3.03/1.64 % (15646)Memory used [KB]: 1663
% 3.03/1.64 % (15646)Time elapsed: 0.005 s
% 3.03/1.64 % (15646)Instructions burned: 4 (million)
% 3.03/1.64 % (15646)------------------------------
% 3.03/1.64 % (15646)------------------------------
% 3.03/1.64 % (15651)Instruction limit reached!
% 3.03/1.64 % (15651)------------------------------
% 3.03/1.64 % (15651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.64 % (15651)Termination reason: Unknown
% 3.03/1.64 % (15651)Termination phase: shuffling
% 3.03/1.64
% 3.03/1.64 % (15651)Memory used [KB]: 1918
% 3.03/1.64 % (15651)Time elapsed: 0.014 s
% 3.03/1.64 % (15651)Instructions burned: 19 (million)
% 3.03/1.64 % (15651)------------------------------
% 3.03/1.64 % (15651)------------------------------
% 3.03/1.65 % (15647)Instruction limit reached!
% 3.03/1.65 % (15647)------------------------------
% 3.03/1.65 % (15647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.65 % (15647)Termination reason: Unknown
% 3.03/1.65 % (15647)Termination phase: shuffling
% 3.03/1.65
% 3.03/1.65 % (15647)Memory used [KB]: 2046
% 3.03/1.65 % (15647)Time elapsed: 0.019 s
% 3.03/1.65 % (15647)Instructions burned: 27 (million)
% 3.03/1.65 % (15647)------------------------------
% 3.03/1.65 % (15647)------------------------------
% 3.03/1.65 % (15652)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/3Mi)
% 3.03/1.65 % (15653)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/37Mi)
% 3.03/1.65 % (15654)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/15Mi)
% 3.03/1.65 % (15652)Instruction limit reached!
% 3.03/1.65 % (15652)------------------------------
% 3.03/1.65 % (15652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.65 % (15652)Termination reason: Unknown
% 3.03/1.65 % (15652)Termination phase: shuffling
% 3.03/1.65
% 3.03/1.65 % (15652)Memory used [KB]: 1535
% 3.03/1.65 % (15652)Time elapsed: 0.005 s
% 3.03/1.65 % (15652)Instructions burned: 4 (million)
% 3.03/1.65 % (15652)------------------------------
% 3.03/1.65 % (15652)------------------------------
% 3.03/1.66 % (15655)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/3Mi)
% 3.03/1.66 % (15654)Instruction limit reached!
% 3.03/1.66 % (15654)------------------------------
% 3.03/1.66 % (15654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.66 % (15654)Termination reason: Unknown
% 3.03/1.66 % (15654)Termination phase: shuffling
% 3.03/1.66
% 3.03/1.66 % (15654)Memory used [KB]: 1791
% 3.03/1.66 % (15654)Time elapsed: 0.012 s
% 3.03/1.66 % (15654)Instructions burned: 16 (million)
% 3.03/1.66 % (15654)------------------------------
% 3.03/1.66 % (15654)------------------------------
% 3.03/1.66 % (15655)Instruction limit reached!
% 3.03/1.66 % (15655)------------------------------
% 3.03/1.66 % (15655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.66 % (15655)Termination reason: Unknown
% 3.03/1.66 % (15655)Termination phase: shuffling
% 3.03/1.66
% 3.03/1.66 % (15655)Memory used [KB]: 1535
% 3.03/1.66 % (15655)Time elapsed: 0.004 s
% 3.03/1.66 % (15655)Instructions burned: 3 (million)
% 3.03/1.66 % (15655)------------------------------
% 3.03/1.66 % (15655)------------------------------
% 3.03/1.67 % (15653)Instruction limit reached!
% 3.03/1.67 % (15653)------------------------------
% 3.03/1.67 % (15653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.67 % (15653)Termination reason: Unknown
% 3.03/1.67 % (15653)Termination phase: shuffling
% 3.03/1.67
% 3.03/1.67 % (15653)Memory used [KB]: 2302
% 3.03/1.67 % (15653)Time elapsed: 0.016 s
% 3.03/1.67 % (15653)Instructions burned: 38 (million)
% 3.03/1.67 % (15653)------------------------------
% 3.03/1.67 % (15653)------------------------------
% 3.03/1.67 % (15656)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/1041Mi)
% 3.03/1.67 % (15657)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/7Mi)
% 3.03/1.67 % (15657)Instruction limit reached!
% 3.03/1.67 % (15657)------------------------------
% 3.03/1.67 % (15657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.67 % (15657)Termination reason: Unknown
% 3.03/1.67 % (15657)Termination phase: shuffling
% 3.03/1.67
% 3.03/1.67 % (15657)Memory used [KB]: 1663
% 3.03/1.67 % (15657)Time elapsed: 0.004 s
% 3.03/1.67 % (15657)Instructions burned: 7 (million)
% 3.03/1.67 % (15657)------------------------------
% 3.03/1.67 % (15657)------------------------------
% 3.03/1.67 % (15650)Refutation not found, incomplete strategy
% 3.03/1.67 % (15650)------------------------------
% 3.03/1.67 % (15650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.67 % (15650)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.67
% 3.03/1.67
% 3.03/1.67 % (15650)Memory used [KB]: 6908
% 3.03/1.67 % (15650)Time elapsed: 0.041 s
% 3.03/1.67 % (15650)Instructions burned: 70 (million)
% 3.03/1.67 % (15650)------------------------------
% 3.03/1.67 % (15650)------------------------------
% 3.03/1.68 % (15660)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/3Mi)
% 3.03/1.68 % (15660)Instruction limit reached!
% 3.03/1.68 % (15660)------------------------------
% 3.03/1.68 % (15660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.68 % (15660)Termination reason: Unknown
% 3.03/1.68 % (15660)Termination phase: shuffling
% 3.03/1.68
% 3.03/1.68 % (15660)Memory used [KB]: 1535
% 3.03/1.68 % (15660)Time elapsed: 0.002 s
% 3.03/1.68 % (15660)Instructions burned: 3 (million)
% 3.03/1.68 % (15660)------------------------------
% 3.03/1.68 % (15660)------------------------------
% 3.03/1.68 % (15658)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/16Mi)
% 3.03/1.68 % (15659)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/3Mi)
% 3.03/1.68 % (15661)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/7Mi)
% 3.03/1.68 % (15659)Instruction limit reached!
% 3.03/1.68 % (15659)------------------------------
% 3.03/1.68 % (15659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.68 % (15659)Termination reason: Unknown
% 3.03/1.68 % (15659)Termination phase: shuffling
% 3.03/1.68
% 3.03/1.68 % (15659)Memory used [KB]: 1535
% 3.03/1.68 % (15659)Time elapsed: 0.004 s
% 3.03/1.68 % (15659)Instructions burned: 4 (million)
% 3.03/1.68 % (15659)------------------------------
% 3.03/1.68 % (15659)------------------------------
% 3.03/1.68 % (15662)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/3Mi)
% 3.03/1.69 % (15661)Instruction limit reached!
% 3.03/1.69 % (15661)------------------------------
% 3.03/1.69 % (15661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.69 % (15661)Termination reason: Unknown
% 3.03/1.69 % (15661)Termination phase: shuffling
% 3.03/1.69
% 3.03/1.69 % (15661)Memory used [KB]: 1663
% 3.03/1.69 % (15661)Time elapsed: 0.004 s
% 3.03/1.69 % (15661)Instructions burned: 8 (million)
% 3.03/1.69 % (15661)------------------------------
% 3.03/1.69 % (15661)------------------------------
% 3.03/1.69 % (15662)Instruction limit reached!
% 3.03/1.69 % (15662)------------------------------
% 3.03/1.69 % (15662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.69 % (15662)Termination reason: Unknown
% 3.03/1.69 % (15662)Termination phase: shuffling
% 3.03/1.69
% 3.03/1.69 % (15662)Memory used [KB]: 1535
% 3.03/1.69 % (15662)Time elapsed: 0.003 s
% 3.03/1.69 % (15662)Instructions burned: 4 (million)
% 3.03/1.69 % (15662)------------------------------
% 3.03/1.69 % (15662)------------------------------
% 3.03/1.69 % (15663)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/4Mi)
% 3.03/1.69 % (15658)Instruction limit reached!
% 3.03/1.69 % (15658)------------------------------
% 3.03/1.69 % (15658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.69 % (15658)Termination reason: Unknown
% 3.03/1.69 % (15658)Termination phase: shuffling
% 3.03/1.69
% 3.03/1.69 % (15658)Memory used [KB]: 1791
% 3.03/1.69 % (15658)Time elapsed: 0.010 s
% 3.03/1.69 % (15658)Instructions burned: 17 (million)
% 3.03/1.69 % (15658)------------------------------
% 3.03/1.69 % (15658)------------------------------
% 3.03/1.69 % (15663)Instruction limit reached!
% 3.03/1.69 % (15663)------------------------------
% 3.03/1.69 % (15663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.69 % (15663)Termination reason: Unknown
% 3.03/1.69 % (15663)Termination phase: shuffling
% 3.03/1.69
% 3.03/1.69 % (15663)Memory used [KB]: 1535
% 3.03/1.69 % (15663)Time elapsed: 0.003 s
% 3.03/1.69 % (15663)Instructions burned: 6 (million)
% 3.03/1.69 % (15663)------------------------------
% 3.03/1.69 % (15663)------------------------------
% 3.03/1.70 % (15666)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/6Mi)
% 3.03/1.70 % (15666)Instruction limit reached!
% 3.03/1.70 % (15666)------------------------------
% 3.03/1.70 % (15666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.70 % (15666)Termination reason: Unknown
% 3.03/1.70 % (15666)Termination phase: shuffling
% 3.03/1.70
% 3.03/1.70 % (15666)Memory used [KB]: 1535
% 3.03/1.70 % (15666)Time elapsed: 0.003 s
% 3.03/1.70 % (15666)Instructions burned: 6 (million)
% 3.03/1.70 % (15666)------------------------------
% 3.03/1.70 % (15666)------------------------------
% 3.03/1.70 % (15664)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/18Mi)
% 3.03/1.70 % (15667)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/902Mi)
% 3.03/1.70 % (15668)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/21Mi)
% 3.03/1.70 % (15665)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_15425 for (2999ds/710Mi)
% 3.03/1.70 % (15664)Instruction limit reached!
% 3.03/1.70 % (15664)------------------------------
% 3.03/1.70 % (15664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.70 % (15664)Termination reason: Unknown
% 3.03/1.70 % (15664)Termination phase: shuffling
% 3.03/1.70
% 3.03/1.70 % (15664)Memory used [KB]: 1918
% 3.03/1.70 % (15664)Time elapsed: 0.008 s
% 3.03/1.70 % (15664)Instructions burned: 19 (million)
% 3.03/1.70 % (15664)------------------------------
% 3.03/1.70 % (15664)------------------------------
% 3.03/1.70 % (15645)Instruction limit reached!
% 3.03/1.70 % (15645)------------------------------
% 3.03/1.70 % (15645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.70 % (15645)Termination reason: Unknown
% 3.03/1.70 % (15645)Termination phase: Property scanning
% 3.03/1.70
% 3.03/1.70 % (15645)Memory used [KB]: 3454
% 3.03/1.70 % (15645)Time elapsed: 0.074 s
% 3.03/1.70 % (15645)Instructions burned: 185 (million)
% 3.03/1.70 % (15645)------------------------------
% 3.03/1.70 % (15645)------------------------------
% 3.03/1.71 % (15669)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/5Mi)
% 3.03/1.71 % (15668)Instruction limit reached!
% 3.03/1.71 % (15668)------------------------------
% 3.03/1.71 % (15668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.71 % (15668)Termination reason: Unknown
% 3.03/1.71 % (15668)Termination phase: shuffling
% 3.03/1.71
% 3.03/1.71 % (15668)Memory used [KB]: 1918
% 3.03/1.71 % (15668)Time elapsed: 0.009 s
% 3.03/1.71 % (15668)Instructions burned: 23 (million)
% 3.03/1.71 % (15668)------------------------------
% 3.03/1.71 % (15668)------------------------------
% 3.03/1.71 % (15669)Instruction limit reached!
% 3.03/1.71 % (15669)------------------------------
% 3.03/1.71 % (15669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.71 % (15669)Termination reason: Unknown
% 3.03/1.71 % (15669)Termination phase: shuffling
% 3.03/1.71
% 3.03/1.71 % (15669)Memory used [KB]: 1663
% 3.03/1.71 % (15669)Time elapsed: 0.003 s
% 3.03/1.71 % (15669)Instructions burned: 6 (million)
% 3.03/1.71 % (15669)------------------------------
% 3.03/1.71 % (15669)------------------------------
% 3.03/1.71 % (15670)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/6Mi)
% 3.03/1.72 % (15671)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/377Mi)
% 3.03/1.72 % (15670)Instruction limit reached!
% 3.03/1.72 % (15670)------------------------------
% 3.03/1.72 % (15670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.72 % (15670)Termination reason: Unknown
% 3.03/1.72 % (15670)Termination phase: shuffling
% 3.03/1.72
% 3.03/1.72 % (15670)Memory used [KB]: 1663
% 3.03/1.72 % (15670)Time elapsed: 0.003 s
% 3.03/1.72 % (15670)Instructions burned: 6 (million)
% 3.03/1.72 % (15670)------------------------------
% 3.03/1.72 % (15670)------------------------------
% 3.03/1.72 % (15673)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/19Mi)
% 3.03/1.72 % (15672)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/779Mi)
% 3.03/1.72 % (15673)Instruction limit reached!
% 3.03/1.72 % (15673)------------------------------
% 3.03/1.72 % (15673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.72 % (15673)Termination reason: Unknown
% 3.03/1.72 % (15673)Termination phase: shuffling
% 3.03/1.72
% 3.03/1.72 % (15673)Memory used [KB]: 2046
% 3.03/1.72 % (15673)Time elapsed: 0.007 s
% 3.03/1.72 % (15673)Instructions burned: 20 (million)
% 3.03/1.72 % (15673)------------------------------
% 3.03/1.72 % (15673)------------------------------
% 3.03/1.73 % (15674)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/879Mi)
% 3.03/1.73 % (15675)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/17Mi)
% 3.03/1.74 % (15675)Instruction limit reached!
% 3.03/1.74 % (15675)------------------------------
% 3.03/1.74 % (15675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.74 % (15675)Termination reason: Unknown
% 3.03/1.74 % (15675)Termination phase: shuffling
% 3.03/1.74
% 3.03/1.74 % (15675)Memory used [KB]: 1918
% 3.03/1.74 % (15675)Time elapsed: 0.007 s
% 3.03/1.74 % (15675)Instructions burned: 19 (million)
% 3.03/1.74 % (15675)------------------------------
% 3.03/1.74 % (15675)------------------------------
% 3.03/1.74 % (15665)Refutation not found, incomplete strategy
% 3.03/1.74 % (15665)------------------------------
% 3.03/1.74 % (15665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.74 % (15665)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.74
% 3.03/1.74
% 3.03/1.74 % (15665)Memory used [KB]: 6652
% 3.03/1.74 % (15665)Time elapsed: 0.040 s
% 3.03/1.74 % (15665)Instructions burned: 67 (million)
% 3.03/1.74 % (15665)------------------------------
% 3.03/1.74 % (15665)------------------------------
% 3.03/1.75 % (15676)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/3Mi)
% 3.03/1.75 % (15676)Instruction limit reached!
% 3.03/1.75 % (15676)------------------------------
% 3.03/1.75 % (15676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.75 % (15676)Termination reason: Unknown
% 3.03/1.75 % (15676)Termination phase: shuffling
% 3.03/1.75
% 3.03/1.75 % (15676)Memory used [KB]: 1535
% 3.03/1.75 % (15676)Time elapsed: 0.003 s
% 3.03/1.75 % (15676)Instructions burned: 5 (million)
% 3.03/1.75 % (15676)------------------------------
% 3.03/1.75 % (15676)------------------------------
% 3.03/1.75 % (15674)Refutation not found, incomplete strategy
% 3.03/1.75 % (15674)------------------------------
% 3.03/1.75 % (15674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.75 % (15674)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.75
% 3.03/1.75
% 3.03/1.75 % (15674)Memory used [KB]: 6908
% 3.03/1.75 % (15674)Time elapsed: 0.026 s
% 3.03/1.75 % (15674)Instructions burned: 77 (million)
% 3.03/1.75 % (15674)------------------------------
% 3.03/1.75 % (15674)------------------------------
% 3.03/1.76 % (15677)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/30Mi)
% 3.03/1.76 % (15678)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/127Mi)
% 3.03/1.76 % (15679)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/100Mi)
% 3.03/1.77 % (15677)Instruction limit reached!
% 3.03/1.77 % (15677)------------------------------
% 3.03/1.77 % (15677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.77 % (15677)Termination reason: Unknown
% 3.03/1.77 % (15677)Termination phase: shuffling
% 3.03/1.77
% 3.03/1.77 % (15677)Memory used [KB]: 2046
% 3.03/1.77 % (15677)Time elapsed: 0.013 s
% 3.03/1.77 % (15677)Instructions burned: 32 (million)
% 3.03/1.77 % (15677)------------------------------
% 3.03/1.77 % (15677)------------------------------
% 3.03/1.78 % (15680)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/3Mi)
% 3.03/1.78 % (15680)Instruction limit reached!
% 3.03/1.78 % (15680)------------------------------
% 3.03/1.78 % (15680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.78 % (15680)Termination reason: Unknown
% 3.03/1.78 % (15680)Termination phase: shuffling
% 3.03/1.78
% 3.03/1.78 % (15680)Memory used [KB]: 1535
% 3.03/1.78 % (15680)Time elapsed: 0.003 s
% 3.03/1.78 % (15680)Instructions burned: 3 (million)
% 3.03/1.78 % (15680)------------------------------
% 3.03/1.78 % (15680)------------------------------
% 3.03/1.79 % (15681)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_15425 for (2998ds/20Mi)
% 3.03/1.79 % (15679)Instruction limit reached!
% 3.03/1.79 % (15679)------------------------------
% 3.03/1.79 % (15679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.79 % (15679)Termination reason: Unknown
% 3.03/1.79 % (15679)Termination phase: Property scanning
% 3.03/1.79
% 3.03/1.79 % (15679)Memory used [KB]: 3070
% 3.03/1.79 % (15679)Time elapsed: 0.031 s
% 3.03/1.79 % (15679)Instructions burned: 100 (million)
% 3.03/1.79 % (15679)------------------------------
% 3.03/1.79 % (15679)------------------------------
% 3.03/1.80 % (15681)Instruction limit reached!
% 3.03/1.80 % (15681)------------------------------
% 3.03/1.80 % (15681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.80 % (15681)Termination reason: Unknown
% 3.03/1.80 % (15681)Termination phase: shuffling
% 3.03/1.80
% 3.03/1.80 % (15681)Memory used [KB]: 1918
% 3.03/1.80 % (15681)Time elapsed: 0.009 s
% 3.03/1.80 % (15681)Instructions burned: 20 (million)
% 3.03/1.80 % (15681)------------------------------
% 3.03/1.80 % (15681)------------------------------
% 3.03/1.80 % (15678)Instruction limit reached!
% 3.03/1.80 % (15678)------------------------------
% 3.03/1.80 % (15678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.80 % (15678)Termination reason: Unknown
% 3.03/1.80 % (15678)Termination phase: Property scanning
% 3.03/1.80
% 3.03/1.80 % (15678)Memory used [KB]: 3454
% 3.03/1.80 % (15678)Time elapsed: 0.038 s
% 3.03/1.80 % (15678)Instructions burned: 129 (million)
% 3.03/1.80 % (15678)------------------------------
% 3.03/1.80 % (15678)------------------------------
% 3.03/1.80 % (15682)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/86Mi)
% 3.03/1.81 % (15683)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/107Mi)
% 3.03/1.81 % (15684)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/39Mi)
% 3.03/1.81 % (15667)Refutation not found, incomplete strategy
% 3.03/1.81 % (15667)------------------------------
% 3.03/1.81 % (15667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.81 % (15667)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.81
% 3.03/1.81
% 3.03/1.81 % (15667)Memory used [KB]: 9338
% 3.03/1.81 % (15667)Time elapsed: 0.110 s
% 3.03/1.81 % (15667)Instructions burned: 347 (million)
% 3.03/1.81 % (15667)------------------------------
% 3.03/1.81 % (15667)------------------------------
% 3.03/1.82 % (15684)Instruction limit reached!
% 3.03/1.82 % (15684)------------------------------
% 3.03/1.82 % (15684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.82 % (15684)Termination reason: Unknown
% 3.03/1.82 % (15684)Termination phase: shuffling
% 3.03/1.82
% 3.03/1.82 % (15684)Memory used [KB]: 2302
% 3.03/1.82 % (15684)Time elapsed: 0.012 s
% 3.03/1.82 % (15684)Instructions burned: 39 (million)
% 3.03/1.82 % (15684)------------------------------
% 3.03/1.82 % (15684)------------------------------
% 3.03/1.82 % (15685)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/448Mi)
% 3.03/1.83 % (15671)Instruction limit reached!
% 3.03/1.83 % (15671)------------------------------
% 3.03/1.83 % (15671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.83 % (15671)Termination reason: Unknown
% 3.03/1.83 % (15671)Termination phase: Saturation
% 3.03/1.83
% 3.03/1.83 % (15671)Memory used [KB]: 8955
% 3.03/1.83 % (15671)Time elapsed: 0.112 s
% 3.03/1.83 % (15671)Instructions burned: 377 (million)
% 3.03/1.83 % (15671)------------------------------
% 3.03/1.83 % (15671)------------------------------
% 3.03/1.83 % (15686)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/46Mi)
% 3.03/1.83 % (15682)Instruction limit reached!
% 3.03/1.83 % (15682)------------------------------
% 3.03/1.83 % (15682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.83 % (15682)Termination reason: Unknown
% 3.03/1.83 % (15682)Termination phase: Preprocessing 3
% 3.03/1.83
% 3.03/1.83 % (15682)Memory used [KB]: 2942
% 3.03/1.83 % (15682)Time elapsed: 0.030 s
% 3.03/1.83 % (15682)Instructions burned: 89 (million)
% 3.03/1.83 % (15682)------------------------------
% 3.03/1.83 % (15682)------------------------------
% 3.03/1.84 % (15687)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/98Mi)
% 3.03/1.84 % (15688)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/507Mi)
% 3.03/1.84 % (15683)Instruction limit reached!
% 3.03/1.84 % (15683)------------------------------
% 3.03/1.84 % (15683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.84 % (15683)Termination reason: Unknown
% 3.03/1.84 % (15683)Termination phase: Property scanning
% 3.03/1.84
% 3.03/1.84 % (15683)Memory used [KB]: 3326
% 3.03/1.84 % (15683)Time elapsed: 0.036 s
% 3.03/1.84 % (15683)Instructions burned: 109 (million)
% 3.03/1.84 % (15683)------------------------------
% 3.03/1.84 % (15683)------------------------------
% 3.03/1.84 % (15686)Instruction limit reached!
% 3.03/1.84 % (15686)------------------------------
% 3.03/1.84 % (15686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.84 % (15686)Termination reason: Unknown
% 3.03/1.84 % (15686)Termination phase: Property scanning
% 3.03/1.84
% 3.03/1.84 % (15686)Memory used [KB]: 2302
% 3.03/1.84 % (15686)Time elapsed: 0.016 s
% 3.03/1.84 % (15686)Instructions burned: 48 (million)
% 3.03/1.84 % (15686)------------------------------
% 3.03/1.84 % (15686)------------------------------
% 3.03/1.85 % (15689)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/149Mi)
% 3.03/1.85 % (15690)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/39Mi)
% 3.03/1.86 % (15690)Instruction limit reached!
% 3.03/1.86 % (15690)------------------------------
% 3.03/1.86 % (15690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.86 % (15690)Termination reason: Unknown
% 3.03/1.86 % (15690)Termination phase: Property scanning
% 3.03/1.86
% 3.03/1.86 % (15690)Memory used [KB]: 2302
% 3.03/1.86 % (15690)Time elapsed: 0.014 s
% 3.03/1.86 % (15690)Instructions burned: 42 (million)
% 3.03/1.86 % (15690)------------------------------
% 3.03/1.86 % (15690)------------------------------
% 3.03/1.86 % (15687)Instruction limit reached!
% 3.03/1.86 % (15687)------------------------------
% 3.03/1.86 % (15687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.86 % (15687)Termination reason: Unknown
% 3.03/1.86 % (15687)Termination phase: Property scanning
% 3.03/1.86
% 3.03/1.86 % (15687)Memory used [KB]: 3070
% 3.03/1.86 % (15687)Time elapsed: 0.030 s
% 3.03/1.86 % (15687)Instructions burned: 98 (million)
% 3.03/1.86 % (15687)------------------------------
% 3.03/1.86 % (15687)------------------------------
% 3.03/1.87 % (15691)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/6Mi)
% 3.03/1.88 % (15692)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/1087Mi)
% 3.03/1.88 % (15691)Instruction limit reached!
% 3.03/1.88 % (15691)------------------------------
% 3.03/1.88 % (15691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.88 % (15691)Termination reason: Unknown
% 3.03/1.88 % (15691)Termination phase: shuffling
% 3.03/1.88
% 3.03/1.88 % (15691)Memory used [KB]: 1663
% 3.03/1.88 % (15691)Time elapsed: 0.003 s
% 3.03/1.88 % (15691)Instructions burned: 6 (million)
% 3.03/1.88 % (15691)------------------------------
% 3.03/1.88 % (15691)------------------------------
% 3.03/1.89 % (15693)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_15425 for (2997ds/47Mi)
% 3.03/1.90 % (15689)Instruction limit reached!
% 3.03/1.90 % (15689)------------------------------
% 3.03/1.90 % (15689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.90 % (15689)Termination reason: Unknown
% 3.03/1.90 % (15689)Termination phase: Property scanning
% 3.03/1.90
% 3.03/1.90 % (15689)Memory used [KB]: 9210
% 3.03/1.90 % (15689)Time elapsed: 0.049 s
% 3.03/1.90 % (15689)Instructions burned: 150 (million)
% 3.03/1.90 % (15689)------------------------------
% 3.03/1.90 % (15689)------------------------------
% 3.03/1.90 % (15692)Refutation not found, incomplete strategy
% 3.03/1.90 % (15692)------------------------------
% 3.03/1.90 % (15692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.90 % (15692)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.90
% 3.03/1.90
% 3.03/1.90 % (15692)Memory used [KB]: 6652
% 3.03/1.90 % (15692)Time elapsed: 0.025 s
% 3.03/1.90 % (15692)Instructions burned: 71 (million)
% 3.03/1.90 % (15692)------------------------------
% 3.03/1.90 % (15692)------------------------------
% 3.03/1.90 % (15693)Instruction limit reached!
% 3.03/1.90 % (15693)------------------------------
% 3.03/1.90 % (15693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.90 % (15693)Termination reason: Unknown
% 3.03/1.90 % (15693)Termination phase: Property scanning
% 3.03/1.90
% 3.03/1.90 % (15693)Memory used [KB]: 2302
% 3.03/1.90 % (15693)Time elapsed: 0.016 s
% 3.03/1.90 % (15693)Instructions burned: 49 (million)
% 3.03/1.90 % (15693)------------------------------
% 3.03/1.90 % (15693)------------------------------
% 3.03/1.91 % (15694)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/44Mi)
% 3.03/1.91 % (15695)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/432Mi)
% 3.03/1.91 % (15696)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/62Mi)
% 3.03/1.92 % (15694)Instruction limit reached!
% 3.03/1.92 % (15694)------------------------------
% 3.03/1.92 % (15694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.92 % (15694)Termination reason: Unknown
% 3.03/1.92 % (15694)Termination phase: shuffling
% 3.03/1.92
% 3.03/1.92 % (15694)Memory used [KB]: 2430
% 3.03/1.92 % (15694)Time elapsed: 0.014 s
% 3.03/1.92 % (15694)Instructions burned: 44 (million)
% 3.03/1.92 % (15694)------------------------------
% 3.03/1.92 % (15694)------------------------------
% 3.03/1.93 % (15696)Instruction limit reached!
% 3.03/1.93 % (15696)------------------------------
% 3.03/1.93 % (15696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.93 % (15696)Termination reason: Unknown
% 3.03/1.93 % (15696)Termination phase: shuffling
% 3.03/1.93
% 3.03/1.93 % (15696)Memory used [KB]: 2814
% 3.03/1.93 % (15696)Time elapsed: 0.018 s
% 3.03/1.93 % (15696)Instructions burned: 63 (million)
% 3.03/1.93 % (15696)------------------------------
% 3.03/1.93 % (15696)------------------------------
% 3.03/1.93 % (15697)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/31Mi)
% 3.03/1.94 % (15698)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/96Mi)
% 3.03/1.94 % (15697)Instruction limit reached!
% 3.03/1.94 % (15697)------------------------------
% 3.03/1.94 % (15697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.94 % (15697)Termination reason: Unknown
% 3.03/1.94 % (15697)Termination phase: shuffling
% 3.03/1.94
% 3.03/1.94 % (15697)Memory used [KB]: 2046
% 3.03/1.94 % (15697)Time elapsed: 0.013 s
% 3.03/1.94 % (15697)Instructions burned: 33 (million)
% 3.03/1.94 % (15697)------------------------------
% 3.03/1.94 % (15697)------------------------------
% 3.03/1.95 % (15685)Instruction limit reached!
% 3.03/1.95 % (15685)------------------------------
% 3.03/1.95 % (15685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.95 % (15685)Termination reason: Unknown
% 3.03/1.95 % (15685)Termination phase: Saturation
% 3.03/1.95
% 3.03/1.95 % (15685)Memory used [KB]: 8059
% 3.03/1.95 % (15685)Time elapsed: 0.131 s
% 3.03/1.95 % (15685)Instructions burned: 450 (million)
% 3.03/1.95 % (15685)------------------------------
% 3.03/1.95 % (15685)------------------------------
% 3.03/1.95 % (15672)Instruction limit reached!
% 3.03/1.95 % (15672)------------------------------
% 3.03/1.95 % (15672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.95 % (15672)Termination reason: Unknown
% 3.03/1.95 % (15672)Termination phase: Saturation
% 3.03/1.95
% 3.03/1.95 % (15672)Memory used [KB]: 8443
% 3.03/1.95 % (15672)Time elapsed: 0.233 s
% 3.03/1.95 % (15672)Instructions burned: 779 (million)
% 3.03/1.95 % (15672)------------------------------
% 3.03/1.95 % (15672)------------------------------
% 3.03/1.95 % (15699)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/453Mi)
% 3.03/1.96 % (15700)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/71Mi)
% 3.03/1.96 % (15701)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/83Mi)
% 3.03/1.96 % (15698)Instruction limit reached!
% 3.03/1.96 % (15698)------------------------------
% 3.03/1.96 % (15698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.96 % (15698)Termination reason: Unknown
% 3.03/1.96 % (15698)Termination phase: Preprocessing 3
% 3.03/1.96
% 3.03/1.96 % (15698)Memory used [KB]: 3198
% 3.03/1.96 % (15698)Time elapsed: 0.030 s
% 3.03/1.96 % (15698)Instructions burned: 99 (million)
% 3.03/1.96 % (15698)------------------------------
% 3.03/1.96 % (15698)------------------------------
% 3.03/1.97 % (15702)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/11Mi)
% 3.03/1.98 % (15702)Instruction limit reached!
% 3.03/1.98 % (15702)------------------------------
% 3.03/1.98 % (15702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.98 % (15702)Termination reason: Unknown
% 3.03/1.98 % (15702)Termination phase: shuffling
% 3.03/1.98
% 3.03/1.98 % (15702)Memory used [KB]: 1791
% 3.03/1.98 % (15702)Time elapsed: 0.005 s
% 3.03/1.98 % (15702)Instructions burned: 14 (million)
% 3.03/1.98 % (15702)------------------------------
% 3.03/1.98 % (15702)------------------------------
% 3.03/1.98 % (15700)Instruction limit reached!
% 3.03/1.98 % (15700)------------------------------
% 3.03/1.98 % (15700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.98 % (15700)Termination reason: Unknown
% 3.03/1.98 % (15700)Termination phase: Preprocessing 2
% 3.03/1.98
% 3.03/1.98 % (15700)Memory used [KB]: 2430
% 3.03/1.98 % (15700)Time elapsed: 0.025 s
% 3.03/1.98 % (15700)Instructions burned: 72 (million)
% 3.03/1.98 % (15700)------------------------------
% 3.03/1.98 % (15700)------------------------------
% 3.03/1.99 % (15701)Instruction limit reached!
% 3.03/1.99 % (15701)------------------------------
% 3.03/1.99 % (15701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.99 % (15701)Termination reason: Unknown
% 3.03/1.99 % (15701)Termination phase: Property scanning
% 3.03/1.99
% 3.03/1.99 % (15701)Memory used [KB]: 2430
% 3.03/1.99 % (15701)Time elapsed: 0.026 s
% 3.03/1.99 % (15701)Instructions burned: 86 (million)
% 3.03/1.99 % (15701)------------------------------
% 3.03/1.99 % (15701)------------------------------
% 3.03/1.99 % (15703)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/41Mi)
% 3.03/1.99 % (15656)Instruction limit reached!
% 3.03/1.99 % (15656)------------------------------
% 3.03/1.99 % (15656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.99 % (15656)Termination reason: Unknown
% 3.03/1.99 % (15656)Termination phase: Saturation
% 3.03/1.99
% 3.03/1.99 % (15656)Memory used [KB]: 10362
% 3.03/1.99 % (15656)Time elapsed: 0.327 s
% 3.03/1.99 % (15656)Instructions burned: 1042 (million)
% 3.03/1.99 % (15656)------------------------------
% 3.03/1.99 % (15656)------------------------------
% 3.03/1.99 % (15704)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/6Mi)
% 3.03/1.99 % (15704)Instruction limit reached!
% 3.03/1.99 % (15704)------------------------------
% 3.03/1.99 % (15704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/1.99 % (15704)Termination reason: Unknown
% 3.03/1.99 % (15704)Termination phase: shuffling
% 3.03/1.99
% 3.03/1.99 % (15704)Memory used [KB]: 1663
% 3.03/1.99 % (15704)Time elapsed: 0.004 s
% 3.03/1.99 % (15704)Instructions burned: 6 (million)
% 3.03/1.99 % (15704)------------------------------
% 3.03/1.99 % (15704)------------------------------
% 3.03/2.00 % (15705)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/150Mi)
% 3.03/2.00 % (15703)Instruction limit reached!
% 3.03/2.00 % (15703)------------------------------
% 3.03/2.00 % (15703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/2.00 % (15703)Termination reason: Unknown
% 3.03/2.00 % (15703)Termination phase: shuffling
% 3.03/2.00
% 3.03/2.00 % (15703)Memory used [KB]: 2430
% 3.03/2.00 % (15703)Time elapsed: 0.013 s
% 3.03/2.00 % (15703)Instructions burned: 44 (million)
% 3.03/2.00 % (15703)------------------------------
% 3.03/2.00 % (15703)------------------------------
% 3.03/2.00 % (15688)Instruction limit reached!
% 3.03/2.00 % (15688)------------------------------
% 3.03/2.00 % (15688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.03/2.00 % (15688)Termination reason: Unknown
% 3.03/2.00 % (15688)Termination phase: Saturation
% 3.03/2.00
% 3.03/2.00 % (15688)Memory used [KB]: 10874
% 3.03/2.00 % (15688)Time elapsed: 0.163 s
% 3.03/2.00 % (15688)Instructions burned: 509 (million)
% 3.03/2.00 % (15688)------------------------------
% 3.03/2.00 % (15688)------------------------------
% 3.03/2.00 % (15706)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/343Mi)
% 3.03/2.01 % (15707)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/109Mi)
% 3.03/2.01 % (15708)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_15425 for (2996ds/253Mi)
% 5.76/2.01 % (15709)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/140Mi)
% 5.76/2.04 % (15705)Instruction limit reached!
% 5.76/2.04 % (15705)------------------------------
% 5.76/2.04 % (15705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.04 % (15705)Termination reason: Unknown
% 5.76/2.04 % (15705)Termination phase: Property scanning
% 5.76/2.04
% 5.76/2.04 % (15705)Memory used [KB]: 3582
% 5.76/2.04 % (15705)Time elapsed: 0.043 s
% 5.76/2.04 % (15705)Instructions burned: 152 (million)
% 5.76/2.04 % (15705)------------------------------
% 5.76/2.04 % (15705)------------------------------
% 5.76/2.04 % (15695)Instruction limit reached!
% 5.76/2.04 % (15695)------------------------------
% 5.76/2.04 % (15695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.04 % (15695)Termination reason: Unknown
% 5.76/2.04 % (15695)Termination phase: Saturation
% 5.76/2.04
% 5.76/2.04 % (15695)Memory used [KB]: 4477
% 5.76/2.04 % (15695)Time elapsed: 0.130 s
% 5.76/2.04 % (15695)Instructions burned: 432 (million)
% 5.76/2.04 % (15695)------------------------------
% 5.76/2.04 % (15695)------------------------------
% 5.76/2.04 % (15709)Refutation not found, incomplete strategy
% 5.76/2.04 % (15709)------------------------------
% 5.76/2.04 % (15709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.04 % (15709)Termination reason: Refutation not found, incomplete strategy
% 5.76/2.04
% 5.76/2.04
% 5.76/2.04 % (15709)Memory used [KB]: 6908
% 5.76/2.04 % (15709)Time elapsed: 0.025 s
% 5.76/2.04 % (15709)Instructions burned: 74 (million)
% 5.76/2.04 % (15709)------------------------------
% 5.76/2.04 % (15709)------------------------------
% 5.76/2.04 % (15707)Instruction limit reached!
% 5.76/2.04 % (15707)------------------------------
% 5.76/2.04 % (15707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.04 % (15707)Termination reason: Unknown
% 5.76/2.04 % (15707)Termination phase: Preprocessing 3
% 5.76/2.04
% 5.76/2.04 % (15707)Memory used [KB]: 3198
% 5.76/2.04 % (15707)Time elapsed: 0.037 s
% 5.76/2.04 % (15707)Instructions burned: 112 (million)
% 5.76/2.04 % (15707)------------------------------
% 5.76/2.04 % (15707)------------------------------
% 5.76/2.05 % (15710)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/614Mi)
% 5.76/2.05 % (15711)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/202Mi)
% 5.76/2.05 % (15712)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/339Mi)
% 5.76/2.05 % (15713)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/283Mi)
% 5.76/2.07 % (15711)Refutation not found, incomplete strategy
% 5.76/2.07 % (15711)------------------------------
% 5.76/2.07 % (15711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.07 % (15711)Termination reason: Refutation not found, incomplete strategy
% 5.76/2.07
% 5.76/2.07
% 5.76/2.07 % (15711)Memory used [KB]: 6652
% 5.76/2.07 % (15711)Time elapsed: 0.023 s
% 5.76/2.07 % (15711)Instructions burned: 69 (million)
% 5.76/2.07 % (15711)------------------------------
% 5.76/2.07 % (15711)------------------------------
% 5.76/2.08 % (15714)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_15425 for (2995ds/134Mi)
% 5.76/2.09 % (15708)Instruction limit reached!
% 5.76/2.09 % (15708)------------------------------
% 5.76/2.09 % (15708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.09 % (15708)Termination reason: Unknown
% 5.76/2.09 % (15708)Termination phase: Saturation
% 5.76/2.09
% 5.76/2.09 % (15708)Memory used [KB]: 7675
% 5.76/2.09 % (15708)Time elapsed: 0.078 s
% 5.76/2.09 % (15708)Instructions burned: 253 (million)
% 5.76/2.09 % (15708)------------------------------
% 5.76/2.09 % (15708)------------------------------
% 5.76/2.10 % (15715)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/298Mi)
% 5.76/2.10 % (15706)Instruction limit reached!
% 5.76/2.10 % (15706)------------------------------
% 5.76/2.10 % (15706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.10 % (15706)Termination reason: Unknown
% 5.76/2.10 % (15706)Termination phase: Saturation
% 5.76/2.10
% 5.76/2.10 % (15706)Memory used [KB]: 8571
% 5.76/2.10 % (15706)Time elapsed: 0.103 s
% 5.76/2.10 % (15706)Instructions burned: 345 (million)
% 5.76/2.10 % (15706)------------------------------
% 5.76/2.10 % (15706)------------------------------
% 6.24/2.11 % (15716)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/192Mi)
% 6.24/2.12 % (15714)Instruction limit reached!
% 6.24/2.12 % (15714)------------------------------
% 6.24/2.12 % (15714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.12 % (15714)Termination reason: Unknown
% 6.24/2.12 % (15714)Termination phase: Property scanning
% 6.24/2.12
% 6.24/2.12 % (15714)Memory used [KB]: 3454
% 6.24/2.12 % (15714)Time elapsed: 0.041 s
% 6.24/2.12 % (15714)Instructions burned: 137 (million)
% 6.24/2.12 % (15714)------------------------------
% 6.24/2.12 % (15714)------------------------------
% 6.24/2.12 % (15699)Instruction limit reached!
% 6.24/2.12 % (15699)------------------------------
% 6.24/2.12 % (15699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.12 % (15699)Termination reason: Unknown
% 6.24/2.12 % (15699)Termination phase: Saturation
% 6.24/2.12
% 6.24/2.12 % (15699)Memory used [KB]: 8955
% 6.24/2.12 % (15699)Time elapsed: 0.169 s
% 6.24/2.12 % (15699)Instructions burned: 453 (million)
% 6.24/2.12 % (15699)------------------------------
% 6.24/2.12 % (15699)------------------------------
% 6.24/2.13 % (15713)Instruction limit reached!
% 6.24/2.13 % (15713)------------------------------
% 6.24/2.13 % (15713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.13 % (15713)Termination reason: Unknown
% 6.24/2.13 % (15713)Termination phase: Saturation
% 6.24/2.13
% 6.24/2.13 % (15713)Memory used [KB]: 7803
% 6.24/2.13 % (15713)Time elapsed: 0.078 s
% 6.24/2.13 % (15713)Instructions burned: 285 (million)
% 6.24/2.13 % (15713)------------------------------
% 6.24/2.13 % (15713)------------------------------
% 6.24/2.13 % (15717)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/258Mi)
% 6.24/2.13 % (15718)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/90Mi)
% 6.24/2.14 % (15719)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/231Mi)
% 6.24/2.15 % (15712)Instruction limit reached!
% 6.24/2.15 % (15712)------------------------------
% 6.24/2.15 % (15712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.15 % (15712)Termination reason: Unknown
% 6.24/2.15 % (15712)Termination phase: Saturation
% 6.24/2.15
% 6.24/2.15 % (15712)Memory used [KB]: 8315
% 6.24/2.15 % (15712)Time elapsed: 0.124 s
% 6.24/2.15 % (15712)Instructions burned: 341 (million)
% 6.24/2.15 % (15712)------------------------------
% 6.24/2.15 % (15712)------------------------------
% 6.24/2.16 % (15720)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/458Mi)
% 6.24/2.16 % (15718)Instruction limit reached!
% 6.24/2.16 % (15718)------------------------------
% 6.24/2.16 % (15718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.16 % (15718)Termination reason: Unknown
% 6.24/2.16 % (15718)Termination phase: Preprocessing 3
% 6.24/2.16
% 6.24/2.16 % (15718)Memory used [KB]: 3070
% 6.24/2.16 % (15718)Time elapsed: 0.031 s
% 6.24/2.16 % (15718)Instructions burned: 92 (million)
% 6.24/2.16 % (15718)------------------------------
% 6.24/2.16 % (15718)------------------------------
% 6.24/2.17 % (15716)Instruction limit reached!
% 6.24/2.17 % (15716)------------------------------
% 6.24/2.17 % (15716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.17 % (15716)Termination reason: Unknown
% 6.24/2.17 % (15716)Termination phase: Property scanning
% 6.24/2.17
% 6.24/2.17 % (15716)Memory used [KB]: 3582
% 6.24/2.17 % (15716)Time elapsed: 0.054 s
% 6.24/2.17 % (15716)Instructions burned: 193 (million)
% 6.24/2.17 % (15716)------------------------------
% 6.24/2.17 % (15716)------------------------------
% 6.24/2.17 % (15721)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/31Mi)
% 6.24/2.17 % (15715)Instruction limit reached!
% 6.24/2.17 % (15715)------------------------------
% 6.24/2.17 % (15715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.17 % (15715)Termination reason: Unknown
% 6.24/2.17 % (15715)Termination phase: Saturation
% 6.24/2.17
% 6.24/2.17 % (15715)Memory used [KB]: 7931
% 6.24/2.17 % (15715)Time elapsed: 0.079 s
% 6.24/2.17 % (15715)Instructions burned: 301 (million)
% 6.24/2.17 % (15715)------------------------------
% 6.24/2.17 % (15715)------------------------------
% 6.24/2.18 % (15722)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/297Mi)
% 6.24/2.18 % (15721)Instruction limit reached!
% 6.24/2.18 % (15721)------------------------------
% 6.24/2.18 % (15721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.18 % (15721)Termination reason: Unknown
% 6.24/2.18 % (15721)Termination phase: shuffling
% 6.24/2.18
% 6.24/2.18 % (15721)Memory used [KB]: 2046
% 6.24/2.18 % (15721)Time elapsed: 0.013 s
% 6.24/2.18 % (15721)Instructions burned: 32 (million)
% 6.24/2.18 % (15721)------------------------------
% 6.24/2.18 % (15721)------------------------------
% 6.24/2.18 % (15723)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/987Mi)
% 6.24/2.19 % (15724)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_15425 for (2994ds/182Mi)
% 6.24/2.20 % (15719)Instruction limit reached!
% 6.24/2.20 % (15719)------------------------------
% 6.24/2.20 % (15719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.20 % (15719)Termination reason: Unknown
% 6.24/2.20 % (15719)Termination phase: Property scanning
% 6.24/2.20
% 6.24/2.20 % (15719)Memory used [KB]: 3198
% 6.24/2.20 % (15719)Time elapsed: 0.060 s
% 6.24/2.20 % (15719)Instructions burned: 232 (million)
% 6.24/2.20 % (15719)------------------------------
% 6.24/2.20 % (15719)------------------------------
% 6.78/2.20 % (15717)Instruction limit reached!
% 6.78/2.20 % (15717)------------------------------
% 6.78/2.20 % (15717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.20 % (15717)Termination reason: Unknown
% 6.78/2.20 % (15717)Termination phase: Property scanning
% 6.78/2.20
% 6.78/2.20 % (15717)Memory used [KB]: 8827
% 6.78/2.20 % (15717)Time elapsed: 0.069 s
% 6.78/2.20 % (15717)Instructions burned: 261 (million)
% 6.78/2.20 % (15717)------------------------------
% 6.78/2.20 % (15717)------------------------------
% 6.78/2.21 % (15725)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/182Mi)
% 6.78/2.21 % (15726)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/154Mi)
% 6.78/2.22 % (15710)Instruction limit reached!
% 6.78/2.22 % (15710)------------------------------
% 6.78/2.22 % (15710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.22 % (15710)Termination reason: Unknown
% 6.78/2.22 % (15710)Termination phase: Saturation
% 6.78/2.22
% 6.78/2.22 % (15710)Memory used [KB]: 10490
% 6.78/2.22 % (15710)Time elapsed: 0.179 s
% 6.78/2.22 % (15710)Instructions burned: 617 (million)
% 6.78/2.22 % (15710)------------------------------
% 6.78/2.22 % (15710)------------------------------
% 6.78/2.23 % (15727)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/79Mi)
% 6.78/2.25 % (15724)Instruction limit reached!
% 6.78/2.25 % (15724)------------------------------
% 6.78/2.25 % (15724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.25 % (15724)Termination reason: Unknown
% 6.78/2.25 % (15724)Termination phase: Property scanning
% 6.78/2.25
% 6.78/2.25 % (15724)Memory used [KB]: 9338
% 6.78/2.25 % (15724)Time elapsed: 0.057 s
% 6.78/2.25 % (15724)Instructions burned: 182 (million)
% 6.78/2.25 % (15724)------------------------------
% 6.78/2.25 % (15724)------------------------------
% 6.78/2.25 % (15726)Instruction limit reached!
% 6.78/2.25 % (15726)------------------------------
% 6.78/2.25 % (15726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.25 % (15726)Termination reason: Unknown
% 6.78/2.25 % (15726)Termination phase: Property scanning
% 6.78/2.25
% 6.78/2.25 % (15726)Memory used [KB]: 3198
% 6.78/2.25 % (15726)Time elapsed: 0.041 s
% 6.78/2.25 % (15726)Instructions burned: 155 (million)
% 6.78/2.25 % (15726)------------------------------
% 6.78/2.25 % (15726)------------------------------
% 6.78/2.25 % (15725)Instruction limit reached!
% 6.78/2.25 % (15725)------------------------------
% 6.78/2.25 % (15725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.25 % (15725)Termination reason: Unknown
% 6.78/2.25 % (15725)Termination phase: Property scanning
% 6.78/2.25
% 6.78/2.25 % (15725)Memory used [KB]: 3582
% 6.78/2.25 % (15725)Time elapsed: 0.051 s
% 6.78/2.25 % (15725)Instructions burned: 183 (million)
% 6.78/2.25 % (15725)------------------------------
% 6.78/2.25 % (15725)------------------------------
% 6.78/2.26 % (15729)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/114Mi)
% 6.78/2.26 % (15722)Instruction limit reached!
% 6.78/2.26 % (15722)------------------------------
% 6.78/2.26 % (15722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.26 % (15722)Termination reason: Unknown
% 6.78/2.26 % (15722)Termination phase: Saturation
% 6.78/2.26
% 6.78/2.26 % (15722)Memory used [KB]: 8699
% 6.78/2.26 % (15722)Time elapsed: 0.083 s
% 6.78/2.26 % (15722)Instructions burned: 297 (million)
% 6.78/2.26 % (15722)------------------------------
% 6.78/2.26 % (15722)------------------------------
% 6.78/2.26 % (15727)Instruction limit reached!
% 6.78/2.26 % (15727)------------------------------
% 6.78/2.26 % (15727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.26 % (15727)Termination reason: Unknown
% 6.78/2.26 % (15727)Termination phase: Preprocessing 3
% 6.78/2.26
% 6.78/2.26 % (15727)Memory used [KB]: 2686
% 6.78/2.26 % (15727)Time elapsed: 0.025 s
% 6.78/2.26 % (15727)Instructions burned: 80 (million)
% 6.78/2.26 % (15727)------------------------------
% 6.78/2.26 % (15727)------------------------------
% 6.78/2.26 % (15728)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/216Mi)
% 6.78/2.26 % (15730)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/922Mi)
% 6.78/2.27 % (15731)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/182Mi)
% 6.78/2.27 % (15732)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/164Mi)
% 6.78/2.29 % (15720)Instruction limit reached!
% 6.78/2.29 % (15720)------------------------------
% 6.78/2.29 % (15720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.29 % (15720)Termination reason: Unknown
% 6.78/2.29 % (15720)Termination phase: Saturation
% 6.78/2.29
% 6.78/2.29 % (15720)Memory used [KB]: 9978
% 6.78/2.29 % (15720)Time elapsed: 0.129 s
% 6.78/2.29 % (15720)Instructions burned: 458 (million)
% 6.78/2.29 % (15720)------------------------------
% 6.78/2.29 % (15720)------------------------------
% 6.78/2.29 % (15729)Instruction limit reached!
% 6.78/2.29 % (15729)------------------------------
% 6.78/2.29 % (15729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.29 % (15729)Termination reason: Unknown
% 6.78/2.29 % (15729)Termination phase: Property scanning
% 6.78/2.29
% 6.78/2.29 % (15729)Memory used [KB]: 3454
% 6.78/2.29 % (15729)Time elapsed: 0.035 s
% 6.78/2.29 % (15729)Instructions burned: 117 (million)
% 6.78/2.29 % (15729)------------------------------
% 6.78/2.29 % (15729)------------------------------
% 7.53/2.30 % (15733)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_15425 for (2993ds/50Mi)
% 7.53/2.30 % (15734)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/368Mi)
% 7.53/2.31 % (15733)Instruction limit reached!
% 7.53/2.31 % (15733)------------------------------
% 7.53/2.31 % (15733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.31 % (15733)Termination reason: Unknown
% 7.53/2.31 % (15733)Termination phase: shuffling
% 7.53/2.31
% 7.53/2.31 % (15733)Memory used [KB]: 2686
% 7.53/2.31 % (15733)Time elapsed: 0.015 s
% 7.53/2.31 % (15733)Instructions burned: 50 (million)
% 7.53/2.31 % (15733)------------------------------
% 7.53/2.31 % (15733)------------------------------
% 7.53/2.31 % (15732)Instruction limit reached!
% 7.53/2.31 % (15732)------------------------------
% 7.53/2.31 % (15732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.31 % (15732)Termination reason: Unknown
% 7.53/2.31 % (15732)Termination phase: Property scanning
% 7.53/2.31
% 7.53/2.31 % (15732)Memory used [KB]: 3198
% 7.53/2.31 % (15732)Time elapsed: 0.044 s
% 7.53/2.31 % (15732)Instructions burned: 165 (million)
% 7.53/2.31 % (15732)------------------------------
% 7.53/2.31 % (15732)------------------------------
% 7.53/2.31 % (15731)Instruction limit reached!
% 7.53/2.31 % (15731)------------------------------
% 7.53/2.31 % (15731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.31 % (15731)Termination reason: Unknown
% 7.53/2.31 % (15731)Termination phase: Function definition elimination
% 7.53/2.31
% 7.53/2.31 % (15731)Memory used [KB]: 3198
% 7.53/2.31 % (15731)Time elapsed: 0.048 s
% 7.53/2.31 % (15731)Instructions burned: 183 (million)
% 7.53/2.31 % (15731)------------------------------
% 7.53/2.31 % (15731)------------------------------
% 7.53/2.32 % (15728)Instruction limit reached!
% 7.53/2.32 % (15728)------------------------------
% 7.53/2.32 % (15728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.32 % (15728)Termination reason: Unknown
% 7.53/2.32 % (15728)Termination phase: Property scanning
% 7.53/2.32
% 7.53/2.32 % (15728)Memory used [KB]: 3198
% 7.53/2.32 % (15728)Time elapsed: 0.061 s
% 7.53/2.32 % (15728)Instructions burned: 218 (million)
% 7.53/2.32 % (15728)------------------------------
% 7.53/2.32 % (15728)------------------------------
% 7.53/2.32 % (15735)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/1021Mi)
% 7.53/2.32 % (15736)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/267Mi)
% 7.53/2.32 % (15737)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/204Mi)
% 7.53/2.33 % (15738)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/26Mi)
% 7.53/2.34 % (15738)Instruction limit reached!
% 7.53/2.34 % (15738)------------------------------
% 7.53/2.34 % (15738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.34 % (15738)Termination reason: Unknown
% 7.53/2.34 % (15738)Termination phase: shuffling
% 7.53/2.34
% 7.53/2.34 % (15738)Memory used [KB]: 2174
% 7.53/2.34 % (15738)Time elapsed: 0.010 s
% 7.53/2.34 % (15738)Instructions burned: 27 (million)
% 7.53/2.34 % (15738)------------------------------
% 7.53/2.34 % (15738)------------------------------
% 7.53/2.35 % (15739)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/53Mi)
% 7.53/2.36 % (15739)Instruction limit reached!
% 7.53/2.36 % (15739)------------------------------
% 7.53/2.36 % (15739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.36 % (15739)Termination reason: Unknown
% 7.53/2.36 % (15739)Termination phase: shuffling
% 7.53/2.36
% 7.53/2.36 % (15739)Memory used [KB]: 2686
% 7.53/2.36 % (15739)Time elapsed: 0.018 s
% 7.53/2.36 % (15739)Instructions burned: 55 (million)
% 7.53/2.36 % (15739)------------------------------
% 7.53/2.36 % (15739)------------------------------
% 7.53/2.37 % (15740)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/4436Mi)
% 7.53/2.38 % (15737)Instruction limit reached!
% 7.53/2.38 % (15737)------------------------------
% 7.53/2.38 % (15737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.38 % (15737)Termination reason: Unknown
% 7.53/2.38 % (15737)Termination phase: Property scanning
% 7.53/2.38
% 7.53/2.38 % (15737)Memory used [KB]: 3582
% 7.53/2.38 % (15737)Time elapsed: 0.057 s
% 7.53/2.38 % (15737)Instructions burned: 205 (million)
% 7.53/2.38 % (15737)------------------------------
% 7.53/2.38 % (15737)------------------------------
% 7.53/2.39 % (15736)Instruction limit reached!
% 7.53/2.39 % (15736)------------------------------
% 7.53/2.39 % (15736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.39 % (15736)Termination reason: Unknown
% 7.53/2.39 % (15736)Termination phase: Saturation
% 7.53/2.39
% 7.53/2.39 % (15736)Memory used [KB]: 7803
% 7.53/2.39 % (15736)Time elapsed: 0.069 s
% 7.53/2.39 % (15736)Instructions burned: 269 (million)
% 7.53/2.39 % (15736)------------------------------
% 7.53/2.39 % (15736)------------------------------
% 7.53/2.39 % (15741)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/1539Mi)
% 7.92/2.40 % (15740)Refutation not found, incomplete strategy
% 7.92/2.40 % (15740)------------------------------
% 7.92/2.40 % (15740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.92/2.40 % (15740)Termination reason: Refutation not found, incomplete strategy
% 7.92/2.40
% 7.92/2.40
% 7.92/2.40 % (15740)Memory used [KB]: 6652
% 7.92/2.40 % (15740)Time elapsed: 0.024 s
% 7.92/2.40 % (15740)Instructions burned: 69 (million)
% 7.92/2.40 % (15740)------------------------------
% 7.92/2.40 % (15740)------------------------------
% 7.92/2.40 % (15742)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_15425 for (2992ds/408Mi)
% 7.92/2.40 % (15734)Instruction limit reached!
% 7.92/2.40 % (15734)------------------------------
% 7.92/2.40 % (15734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.92/2.40 % (15734)Termination reason: Unknown
% 7.92/2.40 % (15734)Termination phase: Saturation
% 7.92/2.40
% 7.92/2.40 % (15734)Memory used [KB]: 8955
% 7.92/2.40 % (15734)Time elapsed: 0.101 s
% 7.92/2.40 % (15734)Instructions burned: 369 (million)
% 7.92/2.40 % (15734)------------------------------
% 7.92/2.40 % (15734)------------------------------
% 7.92/2.41 % (15743)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_15425 for (2991ds/5205Mi)
% 7.92/2.41 % (15744)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_15425 for (2991ds/1913Mi)
% 7.92/2.47 % (15723)Instruction limit reached!
% 7.92/2.47 % (15723)------------------------------
% 7.92/2.47 % (15723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.92/2.47 % (15723)Termination reason: Unknown
% 7.92/2.47 % (15723)Termination phase: Saturation
% 7.92/2.47
% 7.92/2.47 % (15723)Memory used [KB]: 10490
% 7.92/2.47 % (15723)Time elapsed: 0.285 s
% 7.92/2.47 % (15723)Instructions burned: 988 (million)
% 7.92/2.47 % (15723)------------------------------
% 7.92/2.47 % (15723)------------------------------
% 7.92/2.48 % (15745)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_15425 for (2991ds/4350Mi)
% 8.35/2.50 % (15745)Refutation not found, incomplete strategy
% 8.35/2.50 % (15745)------------------------------
% 8.35/2.50 % (15745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.50 % (15745)Termination reason: Refutation not found, incomplete strategy
% 8.35/2.50
% 8.35/2.50
% 8.35/2.50 % (15745)Memory used [KB]: 6780
% 8.35/2.50 % (15745)Time elapsed: 0.022 s
% 8.35/2.50 % (15745)Instructions burned: 70 (million)
% 8.35/2.50 % (15745)------------------------------
% 8.35/2.50 % (15745)------------------------------
% 8.35/2.51 % (15746)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_15425 for (2990ds/68Mi)
% 8.35/2.51 % (15742)Instruction limit reached!
% 8.35/2.51 % (15742)------------------------------
% 8.35/2.51 % (15742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.51 % (15742)Termination reason: Unknown
% 8.35/2.51 % (15742)Termination phase: Saturation
% 8.35/2.51
% 8.35/2.51 % (15742)Memory used [KB]: 10746
% 8.35/2.51 % (15742)Time elapsed: 0.115 s
% 8.35/2.51 % (15742)Instructions burned: 411 (million)
% 8.35/2.51 % (15742)------------------------------
% 8.35/2.51 % (15742)------------------------------
% 8.35/2.52 % (15747)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_15425 for (2990ds/358Mi)
% 8.35/2.53 % (15746)Instruction limit reached!
% 8.35/2.53 % (15746)------------------------------
% 8.35/2.53 % (15746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.53 % (15746)Termination reason: Unknown
% 8.35/2.53 % (15746)Termination phase: SInE selection
% 8.35/2.53
% 8.35/2.53 % (15746)Memory used [KB]: 2302
% 8.35/2.53 % (15746)Time elapsed: 0.022 s
% 8.35/2.53 % (15746)Instructions burned: 70 (million)
% 8.35/2.53 % (15746)------------------------------
% 8.35/2.53 % (15746)------------------------------
% 8.35/2.54 % (15748)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_15425 for (2990ds/31Mi)
% 8.35/2.55 % (15748)Instruction limit reached!
% 8.35/2.55 % (15748)------------------------------
% 8.35/2.55 % (15748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.55 % (15748)Termination reason: Unknown
% 8.35/2.55 % (15748)Termination phase: shuffling
% 8.35/2.55
% 8.35/2.55 % (15748)Memory used [KB]: 2046
% 8.35/2.55 % (15748)Time elapsed: 0.012 s
% 8.35/2.55 % (15748)Instructions burned: 33 (million)
% 8.35/2.55 % (15748)------------------------------
% 8.35/2.55 % (15748)------------------------------
% 8.35/2.55 % (15730)Instruction limit reached!
% 8.35/2.55 % (15730)------------------------------
% 8.35/2.55 % (15730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.55 % (15730)Termination reason: Unknown
% 8.35/2.55 % (15730)Termination phase: Saturation
% 8.35/2.55
% 8.35/2.55 % (15730)Memory used [KB]: 8571
% 8.35/2.55 % (15730)Time elapsed: 0.291 s
% 8.35/2.55 % (15730)Instructions burned: 922 (million)
% 8.35/2.55 % (15730)------------------------------
% 8.35/2.55 % (15730)------------------------------
% 8.35/2.56 % (15749)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_15425 for (2990ds/279Mi)
% 8.35/2.56 % (15750)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_15425 for (2990ds/258Mi)
% 8.87/2.61 % (15735)Instruction limit reached!
% 8.87/2.61 % (15735)------------------------------
% 8.87/2.61 % (15735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.61 % (15735)Termination reason: Unknown
% 8.87/2.61 % (15735)Termination phase: Saturation
% 8.87/2.61
% 8.87/2.61 % (15735)Memory used [KB]: 10362
% 8.87/2.61 % (15735)Time elapsed: 0.293 s
% 8.87/2.61 % (15735)Instructions burned: 1024 (million)
% 8.87/2.61 % (15735)------------------------------
% 8.87/2.61 % (15735)------------------------------
% 8.87/2.61 % (15749)Refutation not found, incomplete strategy
% 8.87/2.61 % (15749)------------------------------
% 8.87/2.61 % (15749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.61 % (15749)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.61
% 8.87/2.61
% 8.87/2.61 % (15749)Memory used [KB]: 7931
% 8.87/2.61 % (15749)Time elapsed: 0.054 s
% 8.87/2.61 % (15749)Instructions burned: 201 (million)
% 8.87/2.61 % (15749)------------------------------
% 8.87/2.61 % (15749)------------------------------
% 8.87/2.62 % (15751)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_15425 for (2989ds/26Mi)
% 8.87/2.62 % (15752)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_15425 for (2989ds/995Mi)
% 8.87/2.63 % (15747)Instruction limit reached!
% 8.87/2.63 % (15747)------------------------------
% 8.87/2.63 % (15747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.63 % (15747)Termination reason: Unknown
% 8.87/2.63 % (15747)Termination phase: Saturation
% 8.87/2.63
% 8.87/2.63 % (15747)Memory used [KB]: 8443
% 8.87/2.63 % (15747)Time elapsed: 0.106 s
% 8.87/2.63 % (15747)Instructions burned: 359 (million)
% 8.87/2.63 % (15747)------------------------------
% 8.87/2.63 % (15747)------------------------------
% 8.87/2.63 % (15751)Instruction limit reached!
% 8.87/2.63 % (15751)------------------------------
% 8.87/2.63 % (15751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.63 % (15751)Termination reason: Unknown
% 8.87/2.63 % (15751)Termination phase: shuffling
% 8.87/2.63
% 8.87/2.63 % (15751)Memory used [KB]: 2174
% 8.87/2.63 % (15751)Time elapsed: 0.009 s
% 8.87/2.63 % (15751)Instructions burned: 29 (million)
% 8.87/2.63 % (15751)------------------------------
% 8.87/2.63 % (15751)------------------------------
% 8.87/2.64 % (15750)Instruction limit reached!
% 8.87/2.64 % (15750)------------------------------
% 8.87/2.64 % (15750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.64 % (15750)Termination reason: Unknown
% 8.87/2.64 % (15750)Termination phase: Saturation
% 8.87/2.64
% 8.87/2.64 % (15750)Memory used [KB]: 8443
% 8.87/2.64 % (15750)Time elapsed: 0.072 s
% 8.87/2.64 % (15750)Instructions burned: 259 (million)
% 8.87/2.64 % (15750)------------------------------
% 8.87/2.64 % (15750)------------------------------
% 8.87/2.64 % (15753)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_15425 for (2989ds/373Mi)
% 8.87/2.64 % (15754)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_15425 for (2989ds/253Mi)
% 8.87/2.64 % (15755)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_15425 for (2989ds/832Mi)
% 9.44/2.71 % (15754)Instruction limit reached!
% 9.44/2.71 % (15754)------------------------------
% 9.44/2.71 % (15754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.71 % (15754)Termination reason: Unknown
% 9.44/2.71 % (15754)Termination phase: Saturation
% 9.44/2.71
% 9.44/2.71 % (15754)Memory used [KB]: 7803
% 9.44/2.71 % (15754)Time elapsed: 0.067 s
% 9.44/2.71 % (15754)Instructions burned: 255 (million)
% 9.44/2.71 % (15754)------------------------------
% 9.44/2.71 % (15754)------------------------------
% 9.44/2.72 % (15756)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_15425 for (2988ds/668Mi)
% 9.44/2.74 % (15753)Instruction limit reached!
% 9.44/2.74 % (15753)------------------------------
% 9.44/2.74 % (15753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.74 % (15753)Termination reason: Unknown
% 9.44/2.74 % (15753)Termination phase: Saturation
% 9.44/2.74
% 9.44/2.74 % (15753)Memory used [KB]: 9210
% 9.44/2.74 % (15753)Time elapsed: 0.131 s
% 9.44/2.74 % (15753)Instructions burned: 373 (million)
% 9.44/2.74 % (15753)------------------------------
% 9.44/2.74 % (15753)------------------------------
% 9.44/2.75 % (15755)Refutation not found, incomplete strategy
% 9.44/2.75 % (15755)------------------------------
% 9.44/2.75 % (15755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.75 % (15755)Termination reason: Refutation not found, incomplete strategy
% 9.44/2.75
% 9.44/2.75
% 9.44/2.75 % (15755)Memory used [KB]: 9978
% 9.44/2.75 % (15755)Time elapsed: 0.130 s
% 9.44/2.75 % (15755)Instructions burned: 368 (million)
% 9.44/2.75 % (15755)------------------------------
% 9.44/2.75 % (15755)------------------------------
% 9.44/2.75 % (15757)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_15425 for (2988ds/40Mi)
% 9.44/2.76 % (15758)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_15425 for (2988ds/294Mi)
% 9.44/2.77 % (15757)Instruction limit reached!
% 9.44/2.77 % (15757)------------------------------
% 9.44/2.77 % (15757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.77 % (15757)Termination reason: Unknown
% 9.44/2.77 % (15757)Termination phase: shuffling
% 9.44/2.77
% 9.44/2.77 % (15757)Memory used [KB]: 2430
% 9.44/2.77 % (15757)Time elapsed: 0.013 s
% 9.44/2.77 % (15757)Instructions burned: 42 (million)
% 9.44/2.77 % (15757)------------------------------
% 9.44/2.77 % (15757)------------------------------
% 9.44/2.78 % (15759)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_15425 for (2988ds/187Mi)
% 9.78/2.80 % (15758)Refutation not found, incomplete strategy
% 9.78/2.80 % (15758)------------------------------
% 9.78/2.80 % (15758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.80 % (15758)Termination reason: Refutation not found, incomplete strategy
% 9.78/2.80
% 9.78/2.80
% 9.78/2.80 % (15758)Memory used [KB]: 7675
% 9.78/2.80 % (15758)Time elapsed: 0.041 s
% 9.78/2.80 % (15758)Instructions burned: 148 (million)
% 9.78/2.80 % (15758)------------------------------
% 9.78/2.80 % (15758)------------------------------
% 9.78/2.81 % (15760)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_15425 for (2987ds/371Mi)
% 9.78/2.83 % (15759)Instruction limit reached!
% 9.78/2.83 % (15759)------------------------------
% 9.78/2.83 % (15759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.83 % (15759)Termination reason: Unknown
% 9.78/2.83 % (15759)Termination phase: Property scanning
% 9.78/2.83
% 9.78/2.83 % (15759)Memory used [KB]: 3582
% 9.78/2.83 % (15759)Time elapsed: 0.053 s
% 9.78/2.83 % (15759)Instructions burned: 190 (million)
% 9.78/2.83 % (15759)------------------------------
% 9.78/2.83 % (15759)------------------------------
% 9.78/2.83 % (15741)Instruction limit reached!
% 9.78/2.83 % (15741)------------------------------
% 9.78/2.83 % (15741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.83 % (15741)Termination reason: Unknown
% 9.78/2.83 % (15741)Termination phase: Saturation
% 9.78/2.83
% 9.78/2.83 % (15741)Memory used [KB]: 12281
% 9.78/2.83 % (15741)Time elapsed: 0.440 s
% 9.78/2.83 % (15741)Instructions burned: 1541 (million)
% 9.78/2.83 % (15741)------------------------------
% 9.78/2.83 % (15741)------------------------------
% 9.78/2.84 % (15761)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_15425 for (2987ds/1827Mi)
% 9.78/2.84 % (15762)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_15425 for (2987ds/70Mi)
% 9.78/2.86 % (15762)Instruction limit reached!
% 9.78/2.86 % (15762)------------------------------
% 9.78/2.86 % (15762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.86 % (15762)Termination reason: Unknown
% 9.78/2.86 % (15762)Termination phase: shuffling
% 9.78/2.86
% 9.78/2.86 % (15762)Memory used [KB]: 2942
% 9.78/2.86 % (15762)Time elapsed: 0.021 s
% 9.78/2.86 % (15762)Instructions burned: 73 (million)
% 9.78/2.86 % (15762)------------------------------
% 9.78/2.86 % (15762)------------------------------
% 9.78/2.87 % (15763)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_15425 for (2987ds/316Mi)
% 9.78/2.90 % (15752)Instruction limit reached!
% 9.78/2.90 % (15752)------------------------------
% 9.78/2.90 % (15752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.90 % (15752)Termination reason: Unknown
% 9.78/2.90 % (15752)Termination phase: Saturation
% 9.78/2.90
% 9.78/2.90 % (15752)Memory used [KB]: 9210
% 9.78/2.90 % (15752)Time elapsed: 0.275 s
% 9.78/2.90 % (15752)Instructions burned: 997 (million)
% 9.78/2.90 % (15752)------------------------------
% 9.78/2.90 % (15752)------------------------------
% 10.37/2.90 % (15756)Instruction limit reached!
% 10.37/2.90 % (15756)------------------------------
% 10.37/2.90 % (15756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.90 % (15756)Termination reason: Unknown
% 10.37/2.90 % (15756)Termination phase: Saturation
% 10.37/2.90
% 10.37/2.90 % (15756)Memory used [KB]: 13432
% 10.37/2.90 % (15756)Time elapsed: 0.183 s
% 10.37/2.90 % (15756)Instructions burned: 669 (million)
% 10.37/2.90 % (15756)------------------------------
% 10.37/2.90 % (15756)------------------------------
% 10.37/2.91 % (15764)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/932Mi)
% 10.37/2.91 % (15765)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/4714Mi)
% 10.37/2.92 % (15760)Instruction limit reached!
% 10.37/2.92 % (15760)------------------------------
% 10.37/2.92 % (15760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.92 % (15760)Termination reason: Unknown
% 10.37/2.92 % (15760)Termination phase: Saturation
% 10.37/2.92
% 10.37/2.92 % (15760)Memory used [KB]: 8955
% 10.37/2.92 % (15760)Time elapsed: 0.111 s
% 10.37/2.92 % (15760)Instructions burned: 372 (million)
% 10.37/2.92 % (15760)------------------------------
% 10.37/2.92 % (15760)------------------------------
% 10.37/2.93 % (15766)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/8250Mi)
% 10.37/2.95 % (15763)Instruction limit reached!
% 10.37/2.95 % (15763)------------------------------
% 10.37/2.95 % (15763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.95 % (15763)Termination reason: Unknown
% 10.37/2.95 % (15763)Termination phase: Saturation
% 10.37/2.95
% 10.37/2.95 % (15763)Memory used [KB]: 3709
% 10.37/2.95 % (15763)Time elapsed: 0.083 s
% 10.37/2.95 % (15763)Instructions burned: 319 (million)
% 10.37/2.95 % (15763)------------------------------
% 10.37/2.95 % (15763)------------------------------
% 10.37/2.96 % (15744)Instruction limit reached!
% 10.37/2.96 % (15744)------------------------------
% 10.37/2.96 % (15744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.96 % (15744)Termination reason: Unknown
% 10.37/2.96 % (15744)Termination phase: Saturation
% 10.37/2.96
% 10.37/2.96 % (15744)Memory used [KB]: 4861
% 10.37/2.96 % (15744)Time elapsed: 0.550 s
% 10.37/2.96 % (15744)Instructions burned: 1913 (million)
% 10.37/2.96 % (15744)------------------------------
% 10.37/2.96 % (15744)------------------------------
% 10.37/2.96 % (15767)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/770Mi)
% 10.37/2.97 % (15768)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/794Mi)
% 10.37/2.98 % (15767)Refutation not found, incomplete strategy
% 10.37/2.98 % (15767)------------------------------
% 10.37/2.98 % (15767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.98 % (15767)Termination reason: Refutation not found, incomplete strategy
% 10.37/2.98
% 10.37/2.98
% 10.37/2.98 % (15767)Memory used [KB]: 6908
% 10.37/2.98 % (15767)Time elapsed: 0.024 s
% 10.37/2.98 % (15767)Instructions burned: 74 (million)
% 10.37/2.98 % (15767)------------------------------
% 10.37/2.98 % (15767)------------------------------
% 10.37/2.99 % (15769)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_15425 for (2986ds/464Mi)
% 10.37/2.99 % (15765)Refutation not found, incomplete strategy
% 10.37/2.99 % (15765)------------------------------
% 10.37/2.99 % (15765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.37/2.99 % (15765)Termination reason: Refutation not found, incomplete strategy
% 10.37/2.99
% 10.37/2.99
% 10.37/2.99 % (15765)Memory used [KB]: 8315
% 10.37/2.99 % (15765)Time elapsed: 0.089 s
% 10.37/2.99 % (15765)Instructions burned: 333 (million)
% 10.37/2.99 % (15765)------------------------------
% 10.37/2.99 % (15765)------------------------------
% 10.37/3.00 % (15770)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_15425 for (2985ds/1376Mi)
% 12.84/3.12 % (15769)Instruction limit reached!
% 12.84/3.12 % (15769)------------------------------
% 12.84/3.12 % (15769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.84/3.12 % (15769)Termination reason: Unknown
% 12.84/3.12 % (15769)Termination phase: Saturation
% 12.84/3.12
% 12.84/3.12 % (15769)Memory used [KB]: 9083
% 12.84/3.12 % (15769)Time elapsed: 0.129 s
% 12.84/3.12 % (15769)Instructions burned: 465 (million)
% 12.84/3.12 % (15769)------------------------------
% 12.84/3.12 % (15769)------------------------------
% 13.59/3.13 % (15771)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_15425 for (2984ds/906Mi)
% 13.59/3.18 % (15764)Instruction limit reached!
% 13.59/3.18 % (15764)------------------------------
% 13.59/3.18 % (15764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.59/3.18 % (15764)Termination reason: Unknown
% 13.59/3.18 % (15764)Termination phase: Saturation
% 13.59/3.18
% 13.59/3.18 % (15764)Memory used [KB]: 11641
% 13.59/3.18 % (15764)Time elapsed: 0.280 s
% 13.59/3.18 % (15764)Instructions burned: 932 (million)
% 13.59/3.18 % (15764)------------------------------
% 13.59/3.18 % (15764)------------------------------
% 13.59/3.20 % (15772)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_15425 for (2983ds/434Mi)
% 14.02/3.21 % (15768)Instruction limit reached!
% 14.02/3.21 % (15768)------------------------------
% 14.02/3.21 % (15768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.02/3.21 % (15768)Termination reason: Unknown
% 14.02/3.21 % (15768)Termination phase: Saturation
% 14.02/3.21
% 14.02/3.21 % (15768)Memory used [KB]: 7675
% 14.02/3.21 % (15768)Time elapsed: 0.237 s
% 14.02/3.21 % (15768)Instructions burned: 796 (million)
% 14.02/3.21 % (15768)------------------------------
% 14.02/3.21 % (15768)------------------------------
% 14.02/3.22 % (15773)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_15425 for (2983ds/865Mi)
% 14.02/3.28 % (15772)Refutation not found, incomplete strategy
% 14.02/3.28 % (15772)------------------------------
% 14.02/3.28 % (15772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.02/3.28 % (15772)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.28
% 14.02/3.28
% 14.02/3.28 % (15772)Memory used [KB]: 7675
% 14.02/3.28 % (15772)Time elapsed: 0.084 s
% 14.02/3.28 % (15772)Instructions burned: 275 (million)
% 14.02/3.28 % (15772)------------------------------
% 14.02/3.28 % (15772)------------------------------
% 14.02/3.29 % (15774)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_15425 for (2983ds/593Mi)
% 14.53/3.39 % (15761)Instruction limit reached!
% 14.53/3.39 % (15761)------------------------------
% 14.53/3.39 % (15761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.53/3.39 % (15761)Termination reason: Unknown
% 14.53/3.39 % (15761)Termination phase: Saturation
% 14.53/3.39
% 14.53/3.39 % (15761)Memory used [KB]: 9466
% 14.53/3.39 % (15761)Time elapsed: 0.553 s
% 14.53/3.39 % (15761)Instructions burned: 1830 (million)
% 14.53/3.39 % (15761)------------------------------
% 14.53/3.39 % (15761)------------------------------
% 14.94/3.40 % (15775)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_15425 for (2981ds/443Mi)
% 14.94/3.42 % (15770)Instruction limit reached!
% 14.94/3.42 % (15770)------------------------------
% 14.94/3.42 % (15770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.42 % (15770)Termination reason: Unknown
% 14.94/3.42 % (15770)Termination phase: Saturation
% 14.94/3.42
% 14.94/3.42 % (15770)Memory used [KB]: 11257
% 14.94/3.42 % (15770)Time elapsed: 0.415 s
% 14.94/3.42 % (15770)Instructions burned: 1378 (million)
% 14.94/3.42 % (15770)------------------------------
% 14.94/3.42 % (15770)------------------------------
% 14.94/3.43 % (15776)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_15425 for (2981ds/594Mi)
% 14.94/3.44 % (15774)Instruction limit reached!
% 14.94/3.44 % (15774)------------------------------
% 14.94/3.44 % (15774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.44 % (15774)Termination reason: Unknown
% 14.94/3.44 % (15774)Termination phase: Saturation
% 14.94/3.44
% 14.94/3.44 % (15774)Memory used [KB]: 8955
% 14.94/3.44 % (15774)Time elapsed: 0.157 s
% 14.94/3.44 % (15774)Instructions burned: 594 (million)
% 14.94/3.44 % (15774)------------------------------
% 14.94/3.44 % (15774)------------------------------
% 14.94/3.45 % (15777)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_15425 for (2981ds/327Mi)
% 14.94/3.46 % (15771)Instruction limit reached!
% 14.94/3.46 % (15771)------------------------------
% 14.94/3.46 % (15771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.46 % (15771)Termination reason: Unknown
% 14.94/3.46 % (15771)Termination phase: Saturation
% 14.94/3.46
% 14.94/3.46 % (15771)Memory used [KB]: 16630
% 14.94/3.46 % (15771)Time elapsed: 0.328 s
% 14.94/3.46 % (15771)Instructions burned: 907 (million)
% 14.94/3.46 % (15771)------------------------------
% 14.94/3.46 % (15771)------------------------------
% 14.94/3.47 % (15778)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_15425 for (2981ds/5411Mi)
% 14.94/3.47 % (15773)Instruction limit reached!
% 14.94/3.47 % (15773)------------------------------
% 14.94/3.47 % (15773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.47 % (15773)Termination reason: Unknown
% 14.94/3.47 % (15773)Termination phase: Saturation
% 14.94/3.47
% 14.94/3.47 % (15773)Memory used [KB]: 12025
% 14.94/3.47 % (15773)Time elapsed: 0.258 s
% 14.94/3.47 % (15773)Instructions burned: 866 (million)
% 14.94/3.47 % (15773)------------------------------
% 14.94/3.47 % (15773)------------------------------
% 14.94/3.48 % (15779)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_15425 for (2981ds/1762Mi)
% 14.94/3.49 % (15778)Refutation not found, incomplete strategy
% 14.94/3.49 % (15778)------------------------------
% 14.94/3.49 % (15778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.49 % (15778)Termination reason: Refutation not found, incomplete strategy
% 14.94/3.49
% 14.94/3.49
% 14.94/3.49 % (15778)Memory used [KB]: 6908
% 14.94/3.49 % (15778)Time elapsed: 0.023 s
% 14.94/3.49 % (15778)Instructions burned: 68 (million)
% 14.94/3.49 % (15778)------------------------------
% 14.94/3.49 % (15778)------------------------------
% 15.97/3.50 % (15780)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_15425 for (2980ds/96Mi)
% 15.97/3.53 % (15780)Instruction limit reached!
% 15.97/3.53 % (15780)------------------------------
% 15.97/3.53 % (15780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.53 % (15780)Termination reason: Unknown
% 15.97/3.53 % (15780)Termination phase: Property scanning
% 15.97/3.53
% 15.97/3.53 % (15780)Memory used [KB]: 3070
% 15.97/3.53 % (15780)Time elapsed: 0.028 s
% 15.97/3.53 % (15780)Instructions burned: 98 (million)
% 15.97/3.53 % (15780)------------------------------
% 15.97/3.53 % (15780)------------------------------
% 15.97/3.53 % (15775)Instruction limit reached!
% 15.97/3.53 % (15775)------------------------------
% 15.97/3.53 % (15775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.53 % (15775)Termination reason: Unknown
% 15.97/3.53 % (15775)Termination phase: Saturation
% 15.97/3.53
% 15.97/3.53 % (15775)Memory used [KB]: 8187
% 15.97/3.53 % (15775)Time elapsed: 0.136 s
% 15.97/3.53 % (15775)Instructions burned: 444 (million)
% 15.97/3.53 % (15775)------------------------------
% 15.97/3.53 % (15775)------------------------------
% 15.97/3.54 % (15781)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_15425 for (2980ds/503Mi)
% 15.97/3.54 % (15782)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_15425 for (2980ds/90Mi)
% 15.97/3.55 % (15777)Instruction limit reached!
% 15.97/3.55 % (15777)------------------------------
% 15.97/3.55 % (15777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.55 % (15777)Termination reason: Unknown
% 15.97/3.55 % (15777)Termination phase: Saturation
% 15.97/3.55
% 15.97/3.55 % (15777)Memory used [KB]: 8955
% 15.97/3.55 % (15777)Time elapsed: 0.098 s
% 15.97/3.55 % (15777)Instructions burned: 329 (million)
% 15.97/3.55 % (15777)------------------------------
% 15.97/3.55 % (15777)------------------------------
% 15.97/3.56 % (15783)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_15425 for (2980ds/593Mi)
% 15.97/3.57 % (15782)Instruction limit reached!
% 15.97/3.57 % (15782)------------------------------
% 15.97/3.57 % (15782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.57 % (15782)Termination reason: Unknown
% 15.97/3.57 % (15782)Termination phase: Preprocessing 3
% 15.97/3.57
% 15.97/3.57 % (15782)Memory used [KB]: 3070
% 15.97/3.57 % (15782)Time elapsed: 0.029 s
% 15.97/3.57 % (15782)Instructions burned: 91 (million)
% 15.97/3.57 % (15782)------------------------------
% 15.97/3.57 % (15782)------------------------------
% 15.97/3.58 % (15784)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_15425 for (2980ds/1512Mi)
% 16.50/3.61 % (15776)Instruction limit reached!
% 16.50/3.61 % (15776)------------------------------
% 16.50/3.61 % (15776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.50/3.61 % (15776)Termination reason: Unknown
% 16.50/3.61 % (15776)Termination phase: Saturation
% 16.50/3.61
% 16.50/3.61 % (15776)Memory used [KB]: 8443
% 16.50/3.61 % (15776)Time elapsed: 0.187 s
% 16.50/3.61 % (15776)Instructions burned: 595 (million)
% 16.50/3.61 % (15776)------------------------------
% 16.50/3.61 % (15776)------------------------------
% 16.50/3.62 % (15785)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_15425 for (2979ds/569Mi)
% 16.50/3.68 % (15781)Instruction limit reached!
% 16.50/3.68 % (15781)------------------------------
% 16.50/3.68 % (15781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.50/3.68 % (15781)Termination reason: Unknown
% 16.50/3.68 % (15781)Termination phase: Saturation
% 16.50/3.68
% 16.50/3.68 % (15781)Memory used [KB]: 8443
% 16.50/3.68 % (15781)Time elapsed: 0.147 s
% 16.50/3.68 % (15781)Instructions burned: 506 (million)
% 16.50/3.68 % (15781)------------------------------
% 16.50/3.68 % (15781)------------------------------
% 16.50/3.69 % (15786)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_15425 for (2979ds/501Mi)
% 17.06/3.73 % (15783)Instruction limit reached!
% 17.06/3.73 % (15783)------------------------------
% 17.06/3.73 % (15783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.06/3.73 % (15783)Termination reason: Unknown
% 17.06/3.73 % (15783)Termination phase: Saturation
% 17.06/3.73
% 17.06/3.73 % (15783)Memory used [KB]: 10618
% 17.06/3.73 % (15783)Time elapsed: 0.172 s
% 17.06/3.73 % (15783)Instructions burned: 595 (million)
% 17.06/3.73 % (15783)------------------------------
% 17.06/3.73 % (15783)------------------------------
% 17.06/3.74 % (15787)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_15425 for (2978ds/562Mi)
% 17.06/3.77 % (15785)Instruction limit reached!
% 17.06/3.77 % (15785)------------------------------
% 17.06/3.77 % (15785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.06/3.77 % (15785)Termination reason: Unknown
% 17.06/3.77 % (15785)Termination phase: Saturation
% 17.06/3.77
% 17.06/3.77 % (15785)Memory used [KB]: 8699
% 17.06/3.77 % (15785)Time elapsed: 0.142 s
% 17.06/3.77 % (15785)Instructions burned: 572 (million)
% 17.06/3.77 % (15785)------------------------------
% 17.06/3.77 % (15785)------------------------------
% 17.06/3.78 % (15788)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_15425 for (2978ds/406Mi)
% 17.59/3.83 % (15786)Instruction limit reached!
% 17.59/3.83 % (15786)------------------------------
% 17.59/3.83 % (15786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.59/3.83 % (15786)Termination reason: Unknown
% 17.59/3.83 % (15786)Termination phase: Saturation
% 17.59/3.83
% 17.59/3.83 % (15786)Memory used [KB]: 10746
% 17.59/3.83 % (15786)Time elapsed: 0.140 s
% 17.59/3.83 % (15786)Instructions burned: 502 (million)
% 17.59/3.83 % (15786)------------------------------
% 17.59/3.83 % (15786)------------------------------
% 17.59/3.84 % (15789)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_15425 for (2977ds/582Mi)
% 17.59/3.89 % (15788)Instruction limit reached!
% 17.59/3.89 % (15788)------------------------------
% 17.59/3.89 % (15788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.59/3.89 % (15788)Termination reason: Unknown
% 17.59/3.89 % (15788)Termination phase: Saturation
% 17.59/3.89
% 17.59/3.89 % (15788)Memory used [KB]: 9210
% 17.59/3.89 % (15788)Time elapsed: 0.119 s
% 17.59/3.89 % (15788)Instructions burned: 406 (million)
% 17.59/3.89 % (15788)------------------------------
% 17.59/3.89 % (15788)------------------------------
% 18.07/3.90 % (15790)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_15425 for (2977ds/456Mi)
% 18.07/3.90 % (15787)Instruction limit reached!
% 18.07/3.90 % (15787)------------------------------
% 18.07/3.90 % (15787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.07/3.90 % (15787)Termination reason: Unknown
% 18.07/3.90 % (15787)Termination phase: Saturation
% 18.07/3.90
% 18.07/3.90 % (15787)Memory used [KB]: 9594
% 18.07/3.90 % (15787)Time elapsed: 0.163 s
% 18.07/3.90 % (15787)Instructions burned: 564 (million)
% 18.07/3.90 % (15787)------------------------------
% 18.07/3.90 % (15787)------------------------------
% 18.07/3.91 % (15791)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_15425 for (2976ds/393Mi)
% 18.07/3.97 % (15743)Instruction limit reached!
% 18.07/3.97 % (15743)------------------------------
% 18.07/3.97 % (15743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.07/3.97 % (15743)Termination reason: Unknown
% 18.07/3.97 % (15743)Termination phase: Saturation
% 18.07/3.97
% 18.07/3.97 % (15743)Memory used [KB]: 15607
% 18.07/3.97 % (15743)Time elapsed: 1.560 s
% 18.07/3.97 % (15743)Instructions burned: 5207 (million)
% 18.07/3.97 % (15743)------------------------------
% 18.07/3.97 % (15743)------------------------------
% 18.07/3.98 % (15792)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_15425 for (2976ds/1335Mi)
% 18.07/3.99 % (15779)Instruction limit reached!
% 18.07/3.99 % (15779)------------------------------
% 18.07/3.99 % (15779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.07/3.99 % (15779)Termination reason: Unknown
% 18.07/3.99 % (15779)Termination phase: Saturation
% 18.07/3.99
% 18.07/3.99 % (15779)Memory used [KB]: 10106
% 18.07/3.99 % (15779)Time elapsed: 0.512 s
% 18.07/3.99 % (15779)Instructions burned: 1765 (million)
% 18.07/3.99 % (15779)------------------------------
% 18.07/3.99 % (15779)------------------------------
% 18.07/4.00 % (15793)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_15425 for (2976ds/3373Mi)
% 18.07/4.01 % (15789)Instruction limit reached!
% 18.07/4.01 % (15789)------------------------------
% 18.07/4.01 % (15789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.07/4.01 % (15789)Termination reason: Unknown
% 18.07/4.01 % (15789)Termination phase: Saturation
% 18.07/4.01
% 18.07/4.01 % (15789)Memory used [KB]: 9338
% 18.07/4.01 % (15789)Time elapsed: 0.170 s
% 18.07/4.01 % (15789)Instructions burned: 583 (million)
% 18.07/4.01 % (15789)------------------------------
% 18.07/4.01 % (15789)------------------------------
% 18.07/4.02 % (15791)Instruction limit reached!
% 18.07/4.02 % (15791)------------------------------
% 18.07/4.02 % (15791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.07/4.02 % (15791)Termination reason: Unknown
% 18.07/4.02 % (15791)Termination phase: Saturation
% 18.07/4.02
% 18.07/4.02 % (15791)Memory used [KB]: 8699
% 18.07/4.02 % (15791)Time elapsed: 0.103 s
% 18.07/4.02 % (15791)Instructions burned: 394 (million)
% 18.07/4.02 % (15791)------------------------------
% 18.07/4.02 % (15791)------------------------------
% 18.07/4.02 % (15794)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/474Mi)
% 19.89/4.03 % (15795)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/157Mi)
% 19.89/4.03 % (15784)Instruction limit reached!
% 19.89/4.03 % (15784)------------------------------
% 19.89/4.03 % (15784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.89/4.03 % (15784)Termination reason: Unknown
% 19.89/4.03 % (15784)Termination phase: Saturation
% 19.89/4.03
% 19.89/4.03 % (15784)Memory used [KB]: 10618
% 19.89/4.03 % (15784)Time elapsed: 0.454 s
% 19.89/4.03 % (15784)Instructions burned: 1512 (million)
% 19.89/4.03 % (15784)------------------------------
% 19.89/4.03 % (15784)------------------------------
% 19.89/4.04 % (15790)Instruction limit reached!
% 19.89/4.04 % (15790)------------------------------
% 19.89/4.04 % (15790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.89/4.04 % (15790)Termination reason: Unknown
% 19.89/4.04 % (15790)Termination phase: Saturation
% 19.89/4.04
% 19.89/4.04 % (15790)Memory used [KB]: 9978
% 19.89/4.04 % (15790)Time elapsed: 0.134 s
% 19.89/4.04 % (15790)Instructions burned: 457 (million)
% 19.89/4.04 % (15790)------------------------------
% 19.89/4.04 % (15790)------------------------------
% 19.89/4.04 % (15796)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/590Mi)
% 19.89/4.05 % (15797)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/104Mi)
% 19.89/4.07 % (15795)Instruction limit reached!
% 19.89/4.07 % (15795)------------------------------
% 19.89/4.07 % (15795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.89/4.07 % (15795)Termination reason: Unknown
% 19.89/4.07 % (15795)Termination phase: Property scanning
% 19.89/4.07
% 19.89/4.07 % (15795)Memory used [KB]: 3198
% 19.89/4.07 % (15795)Time elapsed: 0.044 s
% 19.89/4.07 % (15795)Instructions burned: 160 (million)
% 19.89/4.07 % (15795)------------------------------
% 19.89/4.07 % (15795)------------------------------
% 19.89/4.08 % (15798)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/414Mi)
% 19.89/4.08 % (15797)Instruction limit reached!
% 19.89/4.08 % (15797)------------------------------
% 19.89/4.08 % (15797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.89/4.08 % (15797)Termination reason: Unknown
% 19.89/4.08 % (15797)Termination phase: Property scanning
% 19.89/4.08
% 19.89/4.08 % (15797)Memory used [KB]: 3454
% 19.89/4.08 % (15797)Time elapsed: 0.033 s
% 19.89/4.08 % (15797)Instructions burned: 106 (million)
% 19.89/4.08 % (15797)------------------------------
% 19.89/4.08 % (15797)------------------------------
% 19.89/4.09 % (15799)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_15425 for (2975ds/715Mi)
% 20.32/4.15 % (15794)Instruction limit reached!
% 20.32/4.15 % (15794)------------------------------
% 20.32/4.15 % (15794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.32/4.15 % (15794)Termination reason: Unknown
% 20.32/4.15 % (15794)Termination phase: Saturation
% 20.32/4.15
% 20.32/4.15 % (15794)Memory used [KB]: 8955
% 20.32/4.15 % (15794)Time elapsed: 0.160 s
% 20.32/4.15 % (15794)Instructions burned: 475 (million)
% 20.32/4.15 % (15794)------------------------------
% 20.32/4.15 % (15794)------------------------------
% 20.32/4.16 % (15800)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_15425 for (2974ds/961Mi)
% 20.32/4.19 % (15798)Instruction limit reached!
% 20.32/4.19 % (15798)------------------------------
% 20.32/4.19 % (15798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.32/4.19 % (15798)Termination reason: Unknown
% 20.32/4.19 % (15798)Termination phase: Saturation
% 20.32/4.19
% 20.32/4.19 % (15798)Memory used [KB]: 8827
% 20.32/4.19 % (15798)Time elapsed: 0.110 s
% 20.32/4.19 % (15798)Instructions burned: 414 (million)
% 20.32/4.19 % (15798)------------------------------
% 20.32/4.19 % (15798)------------------------------
% 20.32/4.20 % (15802)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_15425 for (2974ds/1213Mi)
% 20.81/4.21 % (15796)Instruction limit reached!
% 20.81/4.21 % (15796)------------------------------
% 20.81/4.21 % (15796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.21 % (15796)Termination reason: Unknown
% 20.81/4.21 % (15796)Termination phase: Saturation
% 20.81/4.21
% 20.81/4.21 % (15796)Memory used [KB]: 8571
% 20.81/4.21 % (15796)Time elapsed: 0.166 s
% 20.81/4.21 % (15796)Instructions burned: 590 (million)
% 20.81/4.21 % (15796)------------------------------
% 20.81/4.21 % (15796)------------------------------
% 20.81/4.22 % (15803)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_15425 for (2973ds/1979Mi)
% 20.81/4.29 % (15799)Instruction limit reached!
% 20.81/4.29 % (15799)------------------------------
% 20.81/4.29 % (15799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.29 % (15799)Termination reason: Unknown
% 20.81/4.29 % (15799)Termination phase: Saturation
% 20.81/4.29
% 20.81/4.29 % (15799)Memory used [KB]: 5884
% 20.81/4.29 % (15799)Time elapsed: 0.202 s
% 20.81/4.29 % (15799)Instructions burned: 715 (million)
% 20.81/4.29 % (15799)------------------------------
% 20.81/4.29 % (15799)------------------------------
% 21.49/4.30 % (15804)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_15425 for (2973ds/481Mi)
% 21.49/4.33 % (15792)Instruction limit reached!
% 21.49/4.33 % (15792)------------------------------
% 21.49/4.33 % (15792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.33 % (15792)Termination reason: Unknown
% 21.49/4.33 % (15792)Termination phase: Saturation
% 21.49/4.33
% 21.49/4.33 % (15792)Memory used [KB]: 9210
% 21.49/4.33 % (15792)Time elapsed: 0.358 s
% 21.49/4.33 % (15792)Instructions burned: 1336 (million)
% 21.49/4.33 % (15792)------------------------------
% 21.49/4.33 % (15792)------------------------------
% 21.49/4.34 % (15805)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_15425 for (2972ds/783Mi)
% 21.73/4.43 % (15804)Instruction limit reached!
% 21.73/4.43 % (15804)------------------------------
% 21.73/4.43 % (15804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.73/4.43 % (15804)Termination reason: Unknown
% 21.73/4.43 % (15804)Termination phase: Saturation
% 21.73/4.43
% 21.73/4.43 % (15804)Memory used [KB]: 8955
% 21.73/4.43 % (15804)Time elapsed: 0.134 s
% 21.73/4.43 % (15804)Instructions burned: 483 (million)
% 21.73/4.43 % (15804)------------------------------
% 21.73/4.43 % (15804)------------------------------
% 21.73/4.44 % (15806)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_15425 for (2971ds/432Mi)
% 21.73/4.45 % (15800)Instruction limit reached!
% 21.73/4.45 % (15800)------------------------------
% 21.73/4.45 % (15800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.73/4.45 % (15800)Termination reason: Unknown
% 21.73/4.45 % (15800)Termination phase: Saturation
% 21.73/4.45
% 21.73/4.45 % (15800)Memory used [KB]: 10234
% 21.73/4.45 % (15800)Time elapsed: 0.289 s
% 21.73/4.45 % (15800)Instructions burned: 961 (million)
% 21.73/4.45 % (15800)------------------------------
% 21.73/4.45 % (15800)------------------------------
% 21.73/4.46 % (15807)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_15425 for (2971ds/1670Mi)
% 21.73/4.46 % (15806)Refutation not found, incomplete strategy
% 21.73/4.46 % (15806)------------------------------
% 21.73/4.46 % (15806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.73/4.46 % (15806)Termination reason: Refutation not found, incomplete strategy
% 21.73/4.46
% 21.73/4.46
% 21.73/4.46 % (15806)Memory used [KB]: 6780
% 21.73/4.46 % (15806)Time elapsed: 0.022 s
% 21.73/4.46 % (15806)Instructions burned: 67 (million)
% 21.73/4.46 % (15806)------------------------------
% 21.73/4.46 % (15806)------------------------------
% 21.73/4.47 % (15808)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_15425 for (2971ds/90Mi)
% 22.40/4.50 % (15808)Instruction limit reached!
% 22.40/4.50 % (15808)------------------------------
% 22.40/4.50 % (15808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.40/4.50 % (15808)Termination reason: Unknown
% 22.40/4.50 % (15808)Termination phase: Preprocessing 3
% 22.40/4.50
% 22.40/4.50 % (15808)Memory used [KB]: 3070
% 22.40/4.50 % (15808)Time elapsed: 0.029 s
% 22.40/4.50 % (15808)Instructions burned: 91 (million)
% 22.40/4.50 % (15808)------------------------------
% 22.40/4.50 % (15808)------------------------------
% 22.40/4.51 % (15809)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_15425 for (2970ds/346Mi)
% 22.40/4.57 % (15805)Instruction limit reached!
% 22.40/4.57 % (15805)------------------------------
% 22.40/4.57 % (15805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.40/4.57 % (15805)Termination reason: Unknown
% 22.40/4.57 % (15805)Termination phase: Saturation
% 22.40/4.57
% 22.40/4.57 % (15805)Memory used [KB]: 9466
% 22.40/4.57 % (15805)Time elapsed: 0.226 s
% 22.40/4.57 % (15805)Instructions burned: 783 (million)
% 22.40/4.57 % (15805)------------------------------
% 22.40/4.57 % (15805)------------------------------
% 22.40/4.57 % (15802)Instruction limit reached!
% 22.40/4.57 % (15802)------------------------------
% 22.40/4.57 % (15802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.40/4.57 % (15802)Termination reason: Unknown
% 22.40/4.57 % (15802)Termination phase: Saturation
% 22.40/4.57
% 22.40/4.57 % (15802)Memory used [KB]: 11129
% 22.40/4.57 % (15802)Time elapsed: 0.379 s
% 22.40/4.57 % (15802)Instructions burned: 1213 (million)
% 22.40/4.57 % (15802)------------------------------
% 22.40/4.57 % (15802)------------------------------
% 22.40/4.58 % (15810)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_15425 for (2970ds/401Mi)
% 22.40/4.58 % (15811)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_15425 for (2970ds/6454Mi)
% 23.28/4.60 % (15809)Instruction limit reached!
% 23.28/4.60 % (15809)------------------------------
% 23.28/4.60 % (15809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.60 % (15809)Termination reason: Unknown
% 23.28/4.60 % (15809)Termination phase: Saturation
% 23.28/4.60
% 23.28/4.60 % (15809)Memory used [KB]: 8699
% 23.28/4.60 % (15809)Time elapsed: 0.092 s
% 23.28/4.60 % (15809)Instructions burned: 348 (million)
% 23.28/4.60 % (15809)------------------------------
% 23.28/4.60 % (15809)------------------------------
% 23.28/4.61 % (15811)Refutation not found, incomplete strategy
% 23.28/4.61 % (15811)------------------------------
% 23.28/4.61 % (15811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.61 % (15811)Termination reason: Refutation not found, incomplete strategy
% 23.28/4.61
% 23.28/4.61
% 23.28/4.61 % (15811)Memory used [KB]: 6908
% 23.28/4.61 % (15811)Time elapsed: 0.024 s
% 23.28/4.61 % (15811)Instructions burned: 77 (million)
% 23.28/4.61 % (15811)------------------------------
% 23.28/4.61 % (15811)------------------------------
% 23.28/4.61 % (15812)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_15425 for (2969ds/283Mi)
% 23.28/4.62 % (15813)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_15425 for (2969ds/865Mi)
% 23.28/4.68 % (15810)Instruction limit reached!
% 23.28/4.68 % (15810)------------------------------
% 23.28/4.68 % (15810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.68 % (15810)Termination reason: Unknown
% 23.28/4.68 % (15810)Termination phase: Saturation
% 23.28/4.68
% 23.28/4.68 % (15810)Memory used [KB]: 8571
% 23.28/4.68 % (15810)Time elapsed: 0.104 s
% 23.28/4.68 % (15810)Instructions burned: 402 (million)
% 23.28/4.68 % (15810)------------------------------
% 23.28/4.68 % (15810)------------------------------
% 23.28/4.69 % (15812)Instruction limit reached!
% 23.28/4.69 % (15812)------------------------------
% 23.28/4.69 % (15812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.69 % (15812)Termination reason: Unknown
% 23.28/4.69 % (15812)Termination phase: Saturation
% 23.28/4.69
% 23.28/4.69 % (15812)Memory used [KB]: 8443
% 23.28/4.69 % (15812)Time elapsed: 0.077 s
% 23.28/4.69 % (15812)Instructions burned: 285 (million)
% 23.28/4.69 % (15812)------------------------------
% 23.28/4.69 % (15812)------------------------------
% 23.28/4.69 % (15814)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_15425 for (2969ds/4528Mi)
% 23.28/4.70 % (15815)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_15425 for (2969ds/1001Mi)
% 23.81/4.71 % (15814)Refutation not found, incomplete strategy
% 23.81/4.71 % (15814)------------------------------
% 23.81/4.71 % (15814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.81/4.71 % (15814)Termination reason: Refutation not found, incomplete strategy
% 23.81/4.71
% 23.81/4.71
% 23.81/4.71 % (15814)Memory used [KB]: 2430
% 23.81/4.71 % (15814)Time elapsed: 0.023 s
% 23.81/4.71 % (15814)Instructions burned: 73 (million)
% 23.81/4.71 % (15814)------------------------------
% 23.81/4.71 % (15814)------------------------------
% 23.81/4.72 % (15816)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_15425 for (2968ds/102Mi)
% 23.81/4.75 % (15816)Instruction limit reached!
% 23.81/4.75 % (15816)------------------------------
% 23.81/4.75 % (15816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.81/4.75 % (15816)Termination reason: Unknown
% 23.81/4.75 % (15816)Termination phase: Property scanning
% 23.81/4.75
% 23.81/4.75 % (15816)Memory used [KB]: 3070
% 23.81/4.75 % (15816)Time elapsed: 0.030 s
% 23.81/4.75 % (15816)Instructions burned: 105 (million)
% 23.81/4.75 % (15816)------------------------------
% 23.81/4.75 % (15816)------------------------------
% 23.81/4.76 % (15817)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_15425 for (2968ds/952Mi)
% 24.08/4.82 % (15803)Instruction limit reached!
% 24.08/4.82 % (15803)------------------------------
% 24.08/4.82 % (15803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.08/4.82 % (15803)Termination reason: Unknown
% 24.08/4.82 % (15803)Termination phase: Saturation
% 24.08/4.82
% 24.08/4.82 % (15803)Memory used [KB]: 10874
% 24.08/4.82 % (15803)Time elapsed: 0.605 s
% 24.08/4.82 % (15803)Instructions burned: 1980 (million)
% 24.08/4.82 % (15803)------------------------------
% 24.08/4.82 % (15803)------------------------------
% 24.08/4.83 % (15818)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_15425 for (2967ds/578Mi)
% 24.08/4.88 % (15813)Instruction limit reached!
% 24.08/4.88 % (15813)------------------------------
% 24.08/4.88 % (15813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.08/4.88 % (15813)Termination reason: Unknown
% 24.08/4.88 % (15813)Termination phase: Saturation
% 24.08/4.88
% 24.08/4.88 % (15813)Memory used [KB]: 12920
% 24.08/4.88 % (15813)Time elapsed: 0.266 s
% 24.08/4.88 % (15813)Instructions burned: 867 (million)
% 24.08/4.88 % (15813)------------------------------
% 24.08/4.88 % (15813)------------------------------
% 24.08/4.89 % (15819)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_15425 for (2967ds/643Mi)
% 25.17/4.90 % (15807)Instruction limit reached!
% 25.17/4.90 % (15807)------------------------------
% 25.17/4.90 % (15807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.17/4.90 % (15807)Termination reason: Unknown
% 25.17/4.90 % (15807)Termination phase: Saturation
% 25.17/4.90
% 25.17/4.90 % (15807)Memory used [KB]: 9466
% 25.17/4.90 % (15807)Time elapsed: 0.442 s
% 25.17/4.90 % (15807)Instructions burned: 1673 (million)
% 25.17/4.90 % (15807)------------------------------
% 25.17/4.90 % (15807)------------------------------
% 25.17/4.91 % (15820)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_15425 for (2966ds/865Mi)
% 25.17/4.99 % (15815)Instruction limit reached!
% 25.17/4.99 % (15815)------------------------------
% 25.17/4.99 % (15815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.17/4.99 % (15815)Termination reason: Unknown
% 25.17/4.99 % (15815)Termination phase: Saturation
% 25.17/4.99
% 25.17/4.99 % (15815)Memory used [KB]: 13048
% 25.17/4.99 % (15815)Time elapsed: 0.292 s
% 25.17/4.99 % (15815)Instructions burned: 1001 (million)
% 25.17/4.99 % (15815)------------------------------
% 25.17/4.99 % (15815)------------------------------
% 25.17/5.00 % (15821)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_15425 for (2966ds/1174Mi)
% 25.17/5.00 % (15818)Instruction limit reached!
% 25.17/5.00 % (15818)------------------------------
% 25.17/5.00 % (15818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.17/5.00 % (15818)Termination reason: Unknown
% 25.17/5.00 % (15818)Termination phase: Saturation
% 25.17/5.00
% 25.17/5.00 % (15818)Memory used [KB]: 8571
% 25.17/5.00 % (15818)Time elapsed: 0.166 s
% 25.17/5.00 % (15818)Instructions burned: 578 (million)
% 25.17/5.00 % (15818)------------------------------
% 25.17/5.00 % (15818)------------------------------
% 25.17/5.01 % (15822)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_15425 for (2966ds/644Mi)
% 26.88/5.03 % (15793)Instruction limit reached!
% 26.88/5.03 % (15793)------------------------------
% 26.88/5.03 % (15793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.03 % (15793)Termination reason: Unknown
% 26.88/5.03 % (15793)Termination phase: Saturation
% 26.88/5.03
% 26.88/5.03 % (15793)Memory used [KB]: 15351
% 26.88/5.03 % (15793)Time elapsed: 1.030 s
% 26.88/5.03 % (15793)Instructions burned: 3374 (million)
% 26.88/5.03 % (15793)------------------------------
% 26.88/5.03 % (15793)------------------------------
% 26.88/5.03 % (15817)Instruction limit reached!
% 26.88/5.03 % (15817)------------------------------
% 26.88/5.03 % (15817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.03 % (15817)Termination reason: Unknown
% 26.88/5.03 % (15817)Termination phase: Saturation
% 26.88/5.03
% 26.88/5.03 % (15817)Memory used [KB]: 11513
% 26.88/5.03 % (15817)Time elapsed: 0.273 s
% 26.88/5.03 % (15817)Instructions burned: 954 (million)
% 26.88/5.03 % (15817)------------------------------
% 26.88/5.03 % (15817)------------------------------
% 26.88/5.04 % (15823)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_15425 for (2965ds/1201Mi)
% 26.88/5.04 % (15824)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_15425 for (2965ds/1046Mi)
% 26.88/5.07 % (15819)Instruction limit reached!
% 26.88/5.07 % (15819)------------------------------
% 26.88/5.07 % (15819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.88/5.07 % (15819)Termination reason: Unknown
% 26.88/5.07 % (15819)Termination phase: Saturation
% 26.88/5.07
% 26.88/5.07 % (15819)Memory used [KB]: 9210
% 26.88/5.07 % (15819)Time elapsed: 0.174 s
% 26.88/5.07 % (15819)Instructions burned: 643 (million)
% 26.88/5.07 % (15819)------------------------------
% 26.88/5.07 % (15819)------------------------------
% 26.88/5.08 % (15825)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_15425 for (2965ds/222Mi)
% 27.27/5.13 % (15825)Instruction limit reached!
% 27.27/5.13 % (15825)------------------------------
% 27.27/5.13 % (15825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.27/5.13 % (15825)Termination reason: Unknown
% 27.27/5.13 % (15825)Termination phase: Property scanning
% 27.27/5.13
% 27.27/5.13 % (15825)Memory used [KB]: 3198
% 27.27/5.13 % (15825)Time elapsed: 0.058 s
% 27.27/5.13 % (15825)Instructions burned: 223 (million)
% 27.27/5.13 % (15825)------------------------------
% 27.27/5.13 % (15825)------------------------------
% 27.27/5.14 % (15826)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_15425 for (2964ds/68Mi)
% 27.27/5.16 % (15826)Instruction limit reached!
% 27.27/5.16 % (15826)------------------------------
% 27.27/5.16 % (15826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.27/5.16 % (15826)Termination reason: Unknown
% 27.27/5.16 % (15826)Termination phase: SInE selection
% 27.27/5.16
% 27.27/5.16 % (15826)Memory used [KB]: 2302
% 27.27/5.16 % (15826)Time elapsed: 0.023 s
% 27.27/5.16 % (15826)Instructions burned: 71 (million)
% 27.27/5.16 % (15826)------------------------------
% 27.27/5.16 % (15826)------------------------------
% 27.27/5.17 % (15820)Instruction limit reached!
% 27.27/5.17 % (15820)------------------------------
% 27.27/5.17 % (15820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.27/5.17 % (15820)Termination reason: Unknown
% 27.27/5.17 % (15820)Termination phase: Saturation
% 27.27/5.17
% 27.27/5.17 % (15820)Memory used [KB]: 11385
% 27.27/5.17 % (15820)Time elapsed: 0.261 s
% 27.27/5.17 % (15820)Instructions burned: 868 (million)
% 27.27/5.17 % (15820)------------------------------
% 27.27/5.17 % (15820)------------------------------
% 27.27/5.17 % (15827)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_15425 for (2964ds/454Mi)
% 27.27/5.18 % (15828)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_15425 for (2964ds/360Mi)
% 27.58/5.20 % (15822)Instruction limit reached!
% 27.58/5.20 % (15822)------------------------------
% 27.58/5.20 % (15822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.58/5.20 % (15822)Termination reason: Unknown
% 27.58/5.20 % (15822)Termination phase: Saturation
% 27.58/5.20
% 27.58/5.20 % (15822)Memory used [KB]: 12281
% 27.58/5.20 % (15822)Time elapsed: 0.218 s
% 27.58/5.20 % (15822)Instructions burned: 645 (million)
% 27.58/5.20 % (15822)------------------------------
% 27.58/5.20 % (15822)------------------------------
% 27.58/5.21 % (15829)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_15425 for (2963ds/157Mi)
% 27.58/5.25 % (15829)Instruction limit reached!
% 27.58/5.25 % (15829)------------------------------
% 27.58/5.25 % (15829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.58/5.25 % (15829)Termination reason: Unknown
% 27.58/5.25 % (15829)Termination phase: Property scanning
% 27.58/5.25
% 27.58/5.25 % (15829)Memory used [KB]: 3198
% 27.58/5.25 % (15829)Time elapsed: 0.042 s
% 27.58/5.25 % (15829)Instructions burned: 157 (million)
% 27.58/5.25 % (15829)------------------------------
% 27.58/5.25 % (15829)------------------------------
% 27.58/5.26 % (15830)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_15425 for (2963ds/5061Mi)
% 27.58/5.27 % (15828)Instruction limit reached!
% 27.58/5.27 % (15828)------------------------------
% 27.58/5.27 % (15828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.58/5.27 % (15828)Termination reason: Unknown
% 27.58/5.27 % (15828)Termination phase: Saturation
% 27.58/5.27
% 27.58/5.27 % (15828)Memory used [KB]: 8571
% 27.58/5.27 % (15828)Time elapsed: 0.094 s
% 27.58/5.27 % (15828)Instructions burned: 363 (million)
% 27.58/5.27 % (15828)------------------------------
% 27.58/5.27 % (15828)------------------------------
% 27.58/5.28 % (15831)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_15425 for (2963ds/2401Mi)
% 27.58/5.30 % (15827)Instruction limit reached!
% 27.58/5.30 % (15827)------------------------------
% 27.58/5.30 % (15827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.58/5.30 % (15827)Termination reason: Unknown
% 27.58/5.30 % (15827)Termination phase: Saturation
% 27.58/5.30
% 27.58/5.30 % (15827)Memory used [KB]: 13432
% 27.58/5.30 % (15827)Time elapsed: 0.124 s
% 27.58/5.30 % (15827)Instructions burned: 455 (million)
% 27.58/5.30 % (15827)------------------------------
% 27.58/5.30 % (15827)------------------------------
% 28.15/5.31 % (15832)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_15425 for (2962ds/5798Mi)
% 28.15/5.33 % (15824)Instruction limit reached!
% 28.15/5.33 % (15824)------------------------------
% 28.15/5.33 % (15824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.15/5.33 % (15824)Termination reason: Unknown
% 28.15/5.33 % (15824)Termination phase: Saturation
% 28.15/5.33
% 28.15/5.33 % (15824)Memory used [KB]: 9083
% 28.15/5.33 % (15824)Time elapsed: 0.286 s
% 28.15/5.33 % (15824)Instructions burned: 1047 (million)
% 28.15/5.33 % (15824)------------------------------
% 28.15/5.33 % (15824)------------------------------
% 28.15/5.34 % (15833)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_15425 for (2962ds/346Mi)
% 28.15/5.35 % (15821)Instruction limit reached!
% 28.15/5.35 % (15821)------------------------------
% 28.15/5.35 % (15821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.15/5.35 % (15821)Termination reason: Unknown
% 28.15/5.35 % (15821)Termination phase: Saturation
% 28.15/5.35
% 28.15/5.35 % (15821)Memory used [KB]: 14200
% 28.15/5.35 % (15821)Time elapsed: 0.359 s
% 28.15/5.35 % (15821)Instructions burned: 1176 (million)
% 28.15/5.35 % (15821)------------------------------
% 28.15/5.35 % (15821)------------------------------
% 28.15/5.37 % (15834)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_15425 for (2962ds/1321Mi)
% 28.15/5.37 % (15766)Instruction limit reached!
% 28.15/5.37 % (15766)------------------------------
% 28.15/5.37 % (15766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.15/5.37 % (15766)Termination reason: Unknown
% 28.15/5.37 % (15766)Termination phase: Saturation
% 28.15/5.37
% 28.15/5.37 % (15766)Memory used [KB]: 18038
% 28.15/5.37 % (15766)Time elapsed: 2.435 s
% 28.15/5.37 % (15766)Instructions burned: 8250 (million)
% 28.15/5.37 % (15766)------------------------------
% 28.15/5.37 % (15766)------------------------------
% 28.15/5.38 % (15823)Instruction limit reached!
% 28.15/5.38 % (15823)------------------------------
% 28.15/5.38 % (15823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.15/5.38 % (15823)Termination reason: Unknown
% 28.15/5.38 % (15823)Termination phase: Saturation
% 28.15/5.38
% 28.15/5.38 % (15823)Memory used [KB]: 12025
% 28.15/5.38 % (15823)Time elapsed: 0.334 s
% 28.15/5.38 % (15823)Instructions burned: 1201 (million)
% 28.15/5.38 % (15823)------------------------------
% 28.15/5.38 % (15823)------------------------------
% 28.15/5.38 % (15835)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_15425 for (2962ds/1312Mi)
% 28.15/5.39 % (15836)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_15425 for (2962ds/672Mi)
% 29.08/5.43 % (15833)Instruction limit reached!
% 29.08/5.43 % (15833)------------------------------
% 29.08/5.43 % (15833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.08/5.43 % (15833)Termination reason: Unknown
% 29.08/5.43 % (15833)Termination phase: Saturation
% 29.08/5.43
% 29.08/5.43 % (15833)Memory used [KB]: 8571
% 29.08/5.43 % (15833)Time elapsed: 0.096 s
% 29.08/5.43 % (15833)Instructions burned: 347 (million)
% 29.08/5.43 % (15833)------------------------------
% 29.08/5.43 % (15833)------------------------------
% 29.08/5.44 % (15837)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_15425 for (2961ds/1897Mi)
% 29.18/5.58 % (15836)Instruction limit reached!
% 29.18/5.58 % (15836)------------------------------
% 29.18/5.58 % (15836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.18/5.58 % (15836)Termination reason: Unknown
% 29.18/5.58 % (15836)Termination phase: Saturation
% 29.18/5.58
% 29.18/5.58 % (15836)Memory used [KB]: 9083
% 29.18/5.58 % (15836)Time elapsed: 0.195 s
% 29.18/5.58 % (15836)Instructions burned: 673 (million)
% 29.18/5.58 % (15836)------------------------------
% 29.18/5.58 % (15836)------------------------------
% 29.18/5.59 % (15838)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_15425 for (2960ds/1202Mi)
% 29.39/5.60 % (15834)Refutation not found, incomplete strategy
% 29.39/5.60 % (15834)------------------------------
% 29.39/5.60 % (15834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.39/5.60 % (15834)Termination reason: Refutation not found, incomplete strategy
% 29.39/5.60
% 29.39/5.60
% 29.39/5.60 % (15834)Memory used [KB]: 6396
% 29.39/5.60 % (15834)Time elapsed: 0.239 s
% 29.39/5.60 % (15834)Instructions burned: 838 (million)
% 29.39/5.60 % (15834)------------------------------
% 29.39/5.60 % (15834)------------------------------
% 29.39/5.61 % (15839)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_15425 for (2959ds/1493Mi)
% 29.39/5.66 % (15839)Refutation not found, incomplete strategy
% 29.39/5.66 % (15839)------------------------------
% 29.39/5.66 % (15839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.39/5.66 % (15839)Termination reason: Refutation not found, incomplete strategy
% 29.39/5.66
% 29.39/5.66
% 29.39/5.66 % (15839)Memory used [KB]: 7675
% 29.39/5.66 % (15839)Time elapsed: 0.046 s
% 29.39/5.66 % (15839)Instructions burned: 165 (million)
% 29.39/5.66 % (15839)------------------------------
% 29.39/5.66 % (15839)------------------------------
% 29.39/5.67 % (15840)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_15425 for (2959ds/7679Mi)
% 29.69/5.76 % (15835)Instruction limit reached!
% 29.69/5.76 % (15835)------------------------------
% 29.69/5.76 % (15835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.69/5.76 % (15835)Termination reason: Unknown
% 29.69/5.76 % (15835)Termination phase: Saturation
% 29.69/5.76
% 29.69/5.76 % (15835)Memory used [KB]: 9722
% 29.69/5.76 % (15835)Time elapsed: 0.381 s
% 29.69/5.76 % (15835)Instructions burned: 1313 (million)
% 29.69/5.76 % (15835)------------------------------
% 29.69/5.76 % (15835)------------------------------
% 29.69/5.77 % (15841)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_15425 for (2958ds/340Mi)
% 30.08/5.86 % (15841)Instruction limit reached!
% 30.08/5.86 % (15841)------------------------------
% 30.08/5.86 % (15841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.08/5.86 % (15841)Termination reason: Unknown
% 30.08/5.86 % (15841)Termination phase: Saturation
% 30.08/5.86
% 30.08/5.86 % (15841)Memory used [KB]: 8187
% 30.08/5.86 % (15841)Time elapsed: 0.089 s
% 30.08/5.86 % (15841)Instructions burned: 340 (million)
% 30.08/5.86 % (15841)------------------------------
% 30.08/5.86 % (15841)------------------------------
% 30.08/5.87 % (15842)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_15425 for (2957ds/3672Mi)
% 30.19/5.95 % (15838)Instruction limit reached!
% 30.19/5.95 % (15838)------------------------------
% 30.19/5.95 % (15838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.19/5.95 % (15838)Termination reason: Unknown
% 30.19/5.95 % (15838)Termination phase: Saturation
% 30.19/5.95
% 30.19/5.95 % (15838)Memory used [KB]: 7291
% 30.19/5.95 % (15838)Time elapsed: 0.366 s
% 30.19/5.95 % (15838)Instructions burned: 1204 (million)
% 30.19/5.95 % (15838)------------------------------
% 30.19/5.95 % (15838)------------------------------
% 30.19/5.96 % (15843)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_15425 for (2956ds/1535Mi)
% 33.84/6.02 % (15837)Instruction limit reached!
% 33.84/6.02 % (15837)------------------------------
% 33.84/6.02 % (15837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.84/6.02 % (15837)Termination reason: Unknown
% 33.84/6.02 % (15837)Termination phase: Saturation
% 33.84/6.02
% 33.84/6.02 % (15837)Memory used [KB]: 10618
% 33.84/6.02 % (15837)Time elapsed: 0.575 s
% 33.84/6.02 % (15837)Instructions burned: 1898 (million)
% 33.84/6.02 % (15837)------------------------------
% 33.84/6.02 % (15837)------------------------------
% 33.84/6.03 % (15844)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_15425 for (2955ds/4637Mi)
% 33.84/6.03 % (15831)Instruction limit reached!
% 33.84/6.03 % (15831)------------------------------
% 33.84/6.03 % (15831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.84/6.03 % (15831)Termination reason: Unknown
% 33.84/6.03 % (15831)Termination phase: Saturation
% 33.84/6.03
% 33.84/6.03 % (15831)Memory used [KB]: 10234
% 33.84/6.03 % (15831)Time elapsed: 0.747 s
% 33.84/6.03 % (15831)Instructions burned: 2403 (million)
% 33.84/6.03 % (15831)------------------------------
% 33.84/6.03 % (15831)------------------------------
% 33.84/6.04 % (15845)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_15425 for (2955ds/3174Mi)
% 33.84/6.05 % (15844)Refutation not found, incomplete strategy
% 33.84/6.05 % (15844)------------------------------
% 33.84/6.05 % (15844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.84/6.05 % (15844)Termination reason: Refutation not found, incomplete strategy
% 33.84/6.05
% 33.84/6.05
% 33.84/6.05 % (15844)Memory used [KB]: 6908
% 33.84/6.05 % (15844)Time elapsed: 0.023 s
% 33.84/6.05 % (15844)Instructions burned: 69 (million)
% 33.84/6.05 % (15844)------------------------------
% 33.84/6.05 % (15844)------------------------------
% 33.84/6.06 % (15846)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_15425 for (2955ds/307Mi)
% 34.42/6.14 % (15846)Instruction limit reached!
% 34.42/6.14 % (15846)------------------------------
% 34.42/6.14 % (15846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.42/6.14 % (15846)Termination reason: Unknown
% 34.42/6.14 % (15846)Termination phase: Saturation
% 34.42/6.14
% 34.42/6.14 % (15846)Memory used [KB]: 7931
% 34.42/6.14 % (15846)Time elapsed: 0.078 s
% 34.42/6.14 % (15846)Instructions burned: 307 (million)
% 34.42/6.14 % (15846)------------------------------
% 34.42/6.14 % (15846)------------------------------
% 34.42/6.15 % (15847)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_15425 for (2954ds/3619Mi)
% 34.92/6.25 % (15847)Refutation not found, incomplete strategy
% 34.92/6.25 % (15847)------------------------------
% 34.92/6.25 % (15847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.92/6.25 % (15847)Termination reason: Refutation not found, incomplete strategy
% 34.92/6.25
% 34.92/6.25
% 34.92/6.25 % (15847)Memory used [KB]: 9338
% 34.92/6.25 % (15847)Time elapsed: 0.104 s
% 34.92/6.25 % (15847)Instructions burned: 345 (million)
% 34.92/6.25 % (15847)------------------------------
% 34.92/6.25 % (15847)------------------------------
% 34.92/6.26 % (15848)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_15425 for (2953ds/2325Mi)
% 36.06/6.40 % (15843)Instruction limit reached!
% 36.06/6.40 % (15843)------------------------------
% 36.06/6.40 % (15843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.06/6.40 % (15843)Termination reason: Unknown
% 36.06/6.40 % (15843)Termination phase: Saturation
% 36.06/6.40
% 36.06/6.40 % (15843)Memory used [KB]: 10362
% 36.06/6.40 % (15843)Time elapsed: 0.437 s
% 36.06/6.40 % (15843)Instructions burned: 1535 (million)
% 36.06/6.40 % (15843)------------------------------
% 36.06/6.40 % (15843)------------------------------
% 36.06/6.41 % (15849)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_15425 for (2951ds/2341Mi)
% 36.85/6.61 % (15830)Instruction limit reached!
% 36.85/6.61 % (15830)------------------------------
% 36.85/6.61 % (15830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.85/6.61 % (15830)Termination reason: Unknown
% 36.85/6.61 % (15830)Termination phase: Saturation
% 36.85/6.61
% 36.85/6.61 % (15830)Memory used [KB]: 10362
% 36.85/6.61 % (15830)Time elapsed: 1.349 s
% 36.85/6.61 % (15830)Instructions burned: 5062 (million)
% 36.85/6.61 % (15830)------------------------------
% 36.85/6.61 % (15830)------------------------------
% 36.85/6.62 % (15850)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_15425 for (2949ds/7257Mi)
% 36.85/6.63 % (15848)Refutation not found, non-redundant clauses discarded% (15848)------------------------------
% 36.85/6.63 % (15848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.85/6.63 % (15848)Termination reason: Refutation not found, non-redundant clauses discarded
% 36.85/6.63
% 36.85/6.63 % (15848)Memory used [KB]: 13176
% 36.85/6.63 % (15848)Time elapsed: 0.376 s
% 36.85/6.63 % (15848)Instructions burned: 1220 (million)
% 36.85/6.63 % (15848)------------------------------
% 36.85/6.63 % (15848)------------------------------
% 36.85/6.65 % (15851)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_15425 for (2949ds/3710Mi)
% 38.18/6.99 % (15845)Refutation not found, non-redundant clauses discarded% (15845)------------------------------
% 38.18/6.99 % (15845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.18/6.99 % (15845)Termination reason: Refutation not found, non-redundant clauses discarded
% 38.18/6.99
% 38.18/6.99 % (15845)Memory used [KB]: 11001
% 38.18/6.99 % (15845)Time elapsed: 0.952 s
% 38.18/6.99 % (15845)Instructions burned: 3162 (million)
% 38.18/6.99 % (15845)------------------------------
% 38.18/6.99 % (15845)------------------------------
% 38.18/7.00 % (15852)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_15425 for (2946ds/326Mi)
% 40.82/7.02 % (15852)Refutation not found, incomplete strategy
% 40.82/7.02 % (15852)------------------------------
% 40.82/7.02 % (15852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.82/7.02 % (15852)Termination reason: Refutation not found, incomplete strategy
% 40.82/7.02
% 40.82/7.02
% 40.82/7.02 % (15852)Memory used [KB]: 6780
% 40.82/7.02 % (15852)Time elapsed: 0.022 s
% 40.82/7.02 % (15852)Instructions burned: 68 (million)
% 40.82/7.02 % (15852)------------------------------
% 40.82/7.02 % (15852)------------------------------
% 40.82/7.03 % (15853)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_15425 for (2945ds/1100Mi)
% 40.82/7.04 % (15842)Instruction limit reached!
% 40.82/7.04 % (15842)------------------------------
% 40.82/7.04 % (15842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.82/7.04 % (15842)Termination reason: Unknown
% 40.82/7.04 % (15842)Termination phase: Saturation
% 40.82/7.04
% 40.82/7.04 % (15842)Memory used [KB]: 12920
% 40.82/7.04 % (15842)Time elapsed: 1.177 s
% 40.82/7.04 % (15842)Instructions burned: 3674 (million)
% 40.82/7.04 % (15842)------------------------------
% 40.82/7.04 % (15842)------------------------------
% 40.82/7.05 % (15854)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_15425 for (2945ds/406Mi)
% 40.82/7.09 % (15832)Instruction limit reached!
% 40.82/7.09 % (15832)------------------------------
% 40.82/7.09 % (15832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.82/7.09 % (15832)Termination reason: Unknown
% 40.82/7.09 % (15832)Termination phase: Saturation
% 40.82/7.09
% 40.82/7.09 % (15832)Memory used [KB]: 13048
% 40.82/7.09 % (15832)Time elapsed: 1.763 s
% 40.82/7.09 % (15832)Instructions burned: 5798 (million)
% 40.82/7.09 % (15832)------------------------------
% 40.82/7.09 % (15832)------------------------------
% 40.82/7.11 % (15855)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_15425 for (2944ds/1871Mi)
% 41.40/7.16 % (15849)Instruction limit reached!
% 41.40/7.16 % (15849)------------------------------
% 41.40/7.16 % (15849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.40/7.16 % (15849)Termination reason: Unknown
% 41.40/7.16 % (15849)Termination phase: Saturation
% 41.40/7.16
% 41.40/7.16 % (15849)Memory used [KB]: 10746
% 41.40/7.16 % (15849)Time elapsed: 0.746 s
% 41.40/7.16 % (15849)Instructions burned: 2343 (million)
% 41.40/7.16 % (15849)------------------------------
% 41.40/7.16 % (15849)------------------------------
% 41.40/7.17 % (15856)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_15425 for (2944ds/1194Mi)
% 41.40/7.17 % (15854)Instruction limit reached!
% 41.40/7.17 % (15854)------------------------------
% 41.40/7.17 % (15854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.40/7.17 % (15854)Termination reason: Unknown
% 41.40/7.17 % (15854)Termination phase: Saturation
% 41.40/7.17
% 41.40/7.17 % (15854)Memory used [KB]: 9210
% 41.40/7.17 % (15854)Time elapsed: 0.120 s
% 41.40/7.17 % (15854)Instructions burned: 406 (million)
% 41.40/7.17 % (15854)------------------------------
% 41.40/7.17 % (15854)------------------------------
% 41.40/7.18 % (15857)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_15425 for (2944ds/474Mi)
% 42.14/7.31 % (15857)Instruction limit reached!
% 42.14/7.31 % (15857)------------------------------
% 42.14/7.31 % (15857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.14/7.31 % (15857)Termination reason: Unknown
% 42.14/7.31 % (15857)Termination phase: Saturation
% 42.14/7.31
% 42.14/7.31 % (15857)Memory used [KB]: 8955
% 42.14/7.31 % (15857)Time elapsed: 0.134 s
% 42.14/7.31 % (15857)Instructions burned: 477 (million)
% 42.14/7.31 % (15857)------------------------------
% 42.14/7.31 % (15857)------------------------------
% 42.14/7.32 % (15858)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_15425 for (2942ds/3115Mi)
% 42.14/7.37 % (15853)Instruction limit reached!
% 42.14/7.37 % (15853)------------------------------
% 42.14/7.37 % (15853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.14/7.37 % (15853)Termination reason: Unknown
% 42.14/7.37 % (15853)Termination phase: Saturation
% 42.14/7.37
% 42.14/7.37 % (15853)Memory used [KB]: 14072
% 42.14/7.37 % (15853)Time elapsed: 0.336 s
% 42.14/7.37 % (15853)Instructions burned: 1100 (million)
% 42.14/7.37 % (15853)------------------------------
% 42.14/7.37 % (15853)------------------------------
% 42.14/7.38 % (15859)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_15425 for (2942ds/831Mi)
% 43.22/7.51 % (15856)Instruction limit reached!
% 43.22/7.51 % (15856)------------------------------
% 43.22/7.51 % (15856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.22/7.51 % (15856)Termination reason: Unknown
% 43.22/7.51 % (15856)Termination phase: Saturation
% 43.22/7.51
% 43.22/7.51 % (15856)Memory used [KB]: 10618
% 43.22/7.51 % (15856)Time elapsed: 0.343 s
% 43.22/7.51 % (15856)Instructions burned: 1196 (million)
% 43.22/7.51 % (15856)------------------------------
% 43.22/7.51 % (15856)------------------------------
% 43.22/7.52 % (15860)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_15425 for (2940ds/1188Mi)
% 43.88/7.61 % (15859)Instruction limit reached!
% 43.88/7.61 % (15859)------------------------------
% 43.88/7.61 % (15859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.88/7.61 % (15859)Termination reason: Unknown
% 43.88/7.61 % (15859)Termination phase: Saturation
% 43.88/7.61
% 43.88/7.61 % (15859)Memory used [KB]: 12792
% 43.88/7.61 % (15859)Time elapsed: 0.238 s
% 43.88/7.61 % (15859)Instructions burned: 831 (million)
% 43.88/7.61 % (15859)------------------------------
% 43.88/7.61 % (15859)------------------------------
% 43.88/7.62 % (15861)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_15425 for (2939ds/2868Mi)
% 43.88/7.68 % (15851)Instruction limit reached!
% 43.88/7.68 % (15851)------------------------------
% 43.88/7.68 % (15851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.88/7.68 % (15851)Termination reason: Unknown
% 43.88/7.68 % (15851)Termination phase: Saturation
% 43.88/7.68
% 43.88/7.68 % (15851)Memory used [KB]: 24306
% 43.88/7.68 % (15851)Time elapsed: 1.039 s
% 43.88/7.68 % (15851)Instructions burned: 3710 (million)
% 43.88/7.68 % (15851)------------------------------
% 43.88/7.68 % (15851)------------------------------
% 43.88/7.69 % (15862)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_15425 for (2939ds/1516Mi)
% 44.43/7.71 % (15861)Refutation not found, incomplete strategy
% 44.43/7.71 % (15861)------------------------------
% 44.43/7.71 % (15861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.43/7.71 % (15861)Termination reason: Refutation not found, incomplete strategy
% 44.43/7.71
% 44.43/7.71
% 44.43/7.71 % (15861)Memory used [KB]: 8827
% 44.43/7.71 % (15861)Time elapsed: 0.088 s
% 44.43/7.71 % (15861)Instructions burned: 334 (million)
% 44.43/7.71 % (15861)------------------------------
% 44.43/7.71 % (15861)------------------------------
% 44.43/7.71 % (15862)Refutation not found, incomplete strategy
% 44.43/7.71 % (15862)------------------------------
% 44.43/7.71 % (15862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.43/7.71 % (15862)Termination reason: Refutation not found, incomplete strategy
% 44.43/7.71
% 44.43/7.71
% 44.43/7.71 % (15862)Memory used [KB]: 6652
% 44.43/7.71 % (15862)Time elapsed: 0.021 s
% 44.43/7.71 % (15862)Instructions burned: 66 (million)
% 44.43/7.71 % (15862)------------------------------
% 44.43/7.71 % (15862)------------------------------
% 44.43/7.72 % (15863)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_15425 for (2938ds/2321Mi)
% 44.43/7.72 % (15864)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_15425 for (2938ds/2812Mi)
% 44.43/7.72 % (15855)Instruction limit reached!
% 44.43/7.72 % (15855)------------------------------
% 44.43/7.72 % (15855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.43/7.72 % (15855)Termination reason: Unknown
% 44.43/7.72 % (15855)Termination phase: Saturation
% 44.43/7.72
% 44.43/7.72 % (15855)Memory used [KB]: 12920
% 44.43/7.72 % (15855)Time elapsed: 0.616 s
% 44.43/7.72 % (15855)Instructions burned: 1873 (million)
% 44.43/7.72 % (15855)------------------------------
% 44.43/7.72 % (15855)------------------------------
% 44.43/7.73 % (15865)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_15425 for (2938ds/4604Mi)
% 44.43/7.76 % (15865)Refutation not found, incomplete strategy
% 44.43/7.76 % (15865)------------------------------
% 44.43/7.76 % (15865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.43/7.76 % (15865)Termination reason: Refutation not found, incomplete strategy
% 44.43/7.76
% 44.43/7.76
% 44.43/7.76 % (15865)Memory used [KB]: 6780
% 44.43/7.76 % (15865)Time elapsed: 0.022 s
% 44.43/7.76 % (15865)Instructions burned: 70 (million)
% 44.43/7.76 % (15865)------------------------------
% 44.43/7.76 % (15865)------------------------------
% 44.43/7.77 % (15866)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_15425 for (2938ds/2678Mi)
% 44.43/7.80 % (15840)Instruction limit reached!
% 44.43/7.80 % (15840)------------------------------
% 44.43/7.80 % (15840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.43/7.80 % (15840)Termination reason: Unknown
% 44.43/7.80 % (15840)Termination phase: Saturation
% 44.43/7.80
% 44.43/7.80 % (15840)Memory used [KB]: 12281
% 44.43/7.80 % (15840)Time elapsed: 2.128 s
% 44.43/7.80 % (15840)Instructions burned: 7679 (million)
% 44.43/7.80 % (15840)------------------------------
% 44.43/7.80 % (15840)------------------------------
% 43.29/7.81 % (15867)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_15425 for (2937ds/643Mi)
% 43.29/7.81 % (15863)Refutation not found, incomplete strategy
% 43.29/7.81 % (15863)------------------------------
% 43.29/7.81 % (15863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.29/7.81 % (15863)Termination reason: Refutation not found, incomplete strategy
% 43.29/7.81
% 43.29/7.81
% 43.29/7.81 % (15863)Memory used [KB]: 8443
% 43.29/7.81 % (15863)Time elapsed: 0.089 s
% 43.29/7.81 % (15863)Instructions burned: 337 (million)
% 43.29/7.81 % (15863)------------------------------
% 43.29/7.81 % (15863)------------------------------
% 43.29/7.82 % (15868)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_15425 for (2937ds/458Mi)
% 43.29/7.86 % (15860)Instruction limit reached!
% 43.29/7.86 % (15860)------------------------------
% 43.29/7.86 % (15860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.29/7.86 % (15860)Termination reason: Unknown
% 43.29/7.86 % (15860)Termination phase: Saturation
% 43.29/7.86
% 43.29/7.86 % (15860)Memory used [KB]: 11897
% 43.29/7.86 % (15860)Time elapsed: 0.346 s
% 43.29/7.86 % (15860)Instructions burned: 1189 (million)
% 43.29/7.86 % (15860)------------------------------
% 43.29/7.86 % (15860)------------------------------
% 43.29/7.87 % (15869)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_15425 for (2937ds/2546Mi)
% 45.98/7.94 % (15868)Instruction limit reached!
% 45.98/7.94 % (15868)------------------------------
% 45.98/7.94 % (15868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.98/7.94 % (15868)Termination reason: Unknown
% 45.98/7.94 % (15868)Termination phase: Saturation
% 45.98/7.94
% 45.98/7.94 % (15868)Memory used [KB]: 8699
% 45.98/7.94 % (15868)Time elapsed: 0.122 s
% 45.98/7.94 % (15868)Instructions burned: 460 (million)
% 45.98/7.94 % (15868)------------------------------
% 45.98/7.94 % (15868)------------------------------
% 45.98/7.95 % (15870)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_15425 for (2936ds/1432Mi)
% 45.98/7.98 % (15867)Instruction limit reached!
% 45.98/7.98 % (15867)------------------------------
% 45.98/7.98 % (15867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.98/7.98 % (15867)Termination reason: Unknown
% 45.98/7.98 % (15867)Termination phase: Saturation
% 45.98/7.98
% 45.98/7.98 % (15867)Memory used [KB]: 9210
% 45.98/7.98 % (15867)Time elapsed: 0.170 s
% 45.98/7.98 % (15867)Instructions burned: 643 (million)
% 45.98/7.98 % (15867)------------------------------
% 45.98/7.98 % (15867)------------------------------
% 45.98/7.99 % (15871)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_15425 for (2936ds/386Mi)
% 47.95/8.09 % (15871)Instruction limit reached!
% 47.95/8.09 % (15871)------------------------------
% 47.95/8.09 % (15871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.95/8.09 % (15871)Termination reason: Unknown
% 47.95/8.09 % (15871)Termination phase: Saturation
% 47.95/8.09
% 47.95/8.09 % (15871)Memory used [KB]: 8699
% 47.95/8.09 % (15871)Time elapsed: 0.104 s
% 47.95/8.09 % (15871)Instructions burned: 389 (million)
% 47.95/8.09 % (15871)------------------------------
% 47.95/8.09 % (15871)------------------------------
% 47.95/8.10 % (15872)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_15425 for (2935ds/360Mi)
% 48.62/8.19 % (15872)Instruction limit reached!
% 48.62/8.19 % (15872)------------------------------
% 48.62/8.19 % (15872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.62/8.19 % (15872)Termination reason: Unknown
% 48.62/8.19 % (15872)Termination phase: Saturation
% 48.62/8.19
% 48.62/8.19 % (15872)Memory used [KB]: 8571
% 48.62/8.19 % (15872)Time elapsed: 0.097 s
% 48.62/8.19 % (15872)Instructions burned: 363 (million)
% 48.62/8.19 % (15872)------------------------------
% 48.62/8.19 % (15872)------------------------------
% 49.17/8.20 % (15873)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_15425 for (2933ds/5446Mi)
% 49.17/8.26 % (15858)Instruction limit reached!
% 49.17/8.26 % (15858)------------------------------
% 49.17/8.26 % (15858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.17/8.26 % (15858)Termination reason: Unknown
% 49.17/8.26 % (15858)Termination phase: Saturation
% 49.17/8.26
% 49.17/8.26 % (15858)Memory used [KB]: 13432
% 49.17/8.26 % (15858)Time elapsed: 0.935 s
% 49.17/8.26 % (15858)Instructions burned: 3115 (million)
% 49.17/8.26 % (15858)------------------------------
% 49.17/8.26 % (15858)------------------------------
% 49.17/8.27 % (15874)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_15425 for (2933ds/2573Mi)
% 49.17/8.29 % (15870)Instruction limit reached!
% 49.17/8.29 % (15870)------------------------------
% 49.17/8.29 % (15870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.17/8.29 % (15870)Termination reason: Unknown
% 49.17/8.29 % (15870)Termination phase: Saturation
% 49.17/8.29
% 49.17/8.29 % (15870)Memory used [KB]: 21620
% 49.17/8.29 % (15870)Time elapsed: 0.343 s
% 49.17/8.29 % (15870)Instructions burned: 1436 (million)
% 49.17/8.29 % (15870)------------------------------
% 49.17/8.29 % (15870)------------------------------
% 49.76/8.30 % (15875)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_15425 for (2932ds/2655Mi)
% 50.16/8.44 % (15866)Instruction limit reached!
% 50.16/8.44 % (15866)------------------------------
% 50.16/8.44 % (15866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.16/8.44 % (15866)Termination reason: Unknown
% 50.16/8.44 % (15866)Termination phase: Saturation
% 50.16/8.44
% 50.16/8.44 % (15866)Memory used [KB]: 9338
% 50.16/8.44 % (15866)Time elapsed: 0.673 s
% 50.16/8.44 % (15866)Instructions burned: 2680 (million)
% 50.16/8.44 % (15866)------------------------------
% 50.16/8.44 % (15866)------------------------------
% 50.16/8.45 % (15876)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_15425 for (2931ds/2781Mi)
% 50.81/8.62 % (15864)Instruction limit reached!
% 50.81/8.62 % (15864)------------------------------
% 50.81/8.62 % (15864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.62 % (15864)Termination reason: Unknown
% 50.81/8.62 % (15864)Termination phase: Saturation
% 50.81/8.62
% 50.81/8.62 % (15864)Memory used [KB]: 13560
% 50.81/8.62 % (15864)Time elapsed: 0.898 s
% 50.81/8.62 % (15864)Instructions burned: 2812 (million)
% 50.81/8.62 % (15864)------------------------------
% 50.81/8.62 % (15864)------------------------------
% 50.81/8.63 % (15877)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_15425 for (2929ds/307Mi)
% 50.81/8.66 % (15850)Instruction limit reached!
% 50.81/8.66 % (15850)------------------------------
% 50.81/8.66 % (15850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.66 % (15850)Termination reason: Unknown
% 50.81/8.66 % (15850)Termination phase: Saturation
% 50.81/8.66
% 50.81/8.66 % (15850)Memory used [KB]: 17398
% 50.81/8.66 % (15850)Time elapsed: 2.037 s
% 50.81/8.66 % (15850)Instructions burned: 7258 (million)
% 50.81/8.66 % (15850)------------------------------
% 50.81/8.66 % (15850)------------------------------
% 50.81/8.67 % (15878)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_15425 for (2929ds/1548Mi)
% 50.81/8.68 % (15869)Instruction limit reached!
% 50.81/8.68 % (15869)------------------------------
% 50.81/8.68 % (15869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.68 % (15869)Termination reason: Unknown
% 50.81/8.68 % (15869)Termination phase: Saturation
% 50.81/8.68
% 50.81/8.68 % (15869)Memory used [KB]: 12920
% 50.81/8.68 % (15869)Time elapsed: 0.805 s
% 50.81/8.68 % (15869)Instructions burned: 2547 (million)
% 50.81/8.68 % (15869)------------------------------
% 50.81/8.68 % (15869)------------------------------
% 50.81/8.69 % (15879)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_15425 for (2929ds/5214Mi)
% 50.81/8.69 % (15878)Refutation not found, incomplete strategy
% 50.81/8.69 % (15878)------------------------------
% 50.81/8.69 % (15878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.69 % (15878)Termination reason: Refutation not found, incomplete strategy
% 50.81/8.69
% 50.81/8.69
% 50.81/8.69 % (15878)Memory used [KB]: 6780
% 50.81/8.69 % (15878)Time elapsed: 0.022 s
% 50.81/8.69 % (15878)Instructions burned: 67 (million)
% 50.81/8.69 % (15878)------------------------------
% 50.81/8.69 % (15878)------------------------------
% 51.04/8.70 % (15880)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_15425 for (2928ds/3201Mi)
% 51.04/8.71 % (15877)Instruction limit reached!
% 51.04/8.71 % (15877)------------------------------
% 51.04/8.71 % (15877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.04/8.71 % (15877)Termination reason: Unknown
% 51.04/8.71 % (15877)Termination phase: Saturation
% 51.04/8.71
% 51.04/8.71 % (15877)Memory used [KB]: 7931
% 51.04/8.71 % (15877)Time elapsed: 0.078 s
% 51.04/8.71 % (15877)Instructions burned: 307 (million)
% 51.04/8.71 % (15877)------------------------------
% 51.04/8.71 % (15877)------------------------------
% 51.04/8.72 % (15881)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_15425 for (2928ds/454Mi)
% 51.13/8.84 % (15881)Instruction limit reached!
% 51.13/8.84 % (15881)------------------------------
% 51.13/8.84 % (15881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.13/8.84 % (15881)Termination reason: Unknown
% 51.13/8.84 % (15881)Termination phase: Saturation
% 51.13/8.84
% 51.13/8.84 % (15881)Memory used [KB]: 13304
% 51.13/8.84 % (15881)Time elapsed: 0.125 s
% 51.13/8.84 % (15881)Instructions burned: 454 (million)
% 51.13/8.84 % (15881)------------------------------
% 51.13/8.84 % (15881)------------------------------
% 51.13/8.85 % (15882)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_15425 for (2927ds/3049Mi)
% 54.93/9.05 % (15874)Instruction limit reached!
% 54.93/9.05 % (15874)------------------------------
% 54.93/9.05 % (15874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.93/9.05 % (15874)Termination reason: Unknown
% 54.93/9.05 % (15874)Termination phase: Saturation
% 54.93/9.05
% 54.93/9.05 % (15874)Memory used [KB]: 11385
% 54.93/9.05 % (15874)Time elapsed: 0.788 s
% 54.93/9.05 % (15874)Instructions burned: 2575 (million)
% 54.93/9.05 % (15874)------------------------------
% 54.93/9.05 % (15874)------------------------------
% 54.93/9.06 % (15883)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_15425 for (2925ds/7311Mi)
% 54.93/9.08 % (15875)Instruction limit reached!
% 54.93/9.08 % (15875)------------------------------
% 54.93/9.08 % (15875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.93/9.08 % (15875)Termination reason: Unknown
% 54.93/9.08 % (15875)Termination phase: Saturation
% 54.93/9.08
% 54.93/9.08 % (15875)Memory used [KB]: 15479
% 54.93/9.08 % (15875)Time elapsed: 0.778 s
% 54.93/9.08 % (15875)Instructions burned: 2656 (million)
% 54.93/9.08 % (15875)------------------------------
% 54.93/9.08 % (15875)------------------------------
% 54.93/9.09 % (15884)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_15425 for (2925ds/6804Mi)
% 54.93/9.10 % (15876)Instruction limit reached!
% 54.93/9.10 % (15876)------------------------------
% 54.93/9.10 % (15876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.93/9.10 % (15876)Termination reason: Unknown
% 54.93/9.10 % (15876)Termination phase: Property scanning
% 54.93/9.10
% 54.93/9.10 % (15876)Memory used [KB]: 9210
% 54.93/9.10 % (15876)Time elapsed: 0.656 s
% 54.93/9.10 % (15876)Instructions burned: 2783 (million)
% 54.93/9.10 % (15876)------------------------------
% 54.93/9.10 % (15876)------------------------------
% 54.93/9.11 % (15885)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_15425 for (2924ds/1683Mi)
% 55.56/9.20 % (15884)Refutation not found, incomplete strategy
% 55.56/9.20 % (15884)------------------------------
% 55.56/9.20 % (15884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.56/9.20 % (15884)Termination reason: Refutation not found, incomplete strategy
% 55.56/9.20
% 55.56/9.20
% 55.56/9.20 % (15884)Memory used [KB]: 9850
% 55.56/9.20 % (15884)Time elapsed: 0.106 s
% 55.56/9.20 % (15884)Instructions burned: 365 (million)
% 55.56/9.20 % (15884)------------------------------
% 55.56/9.20 % (15884)------------------------------
% 55.86/9.21 % (15886)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_15425 for (2924ds/4688Mi)
% 57.57/9.60 % (15880)Instruction limit reached!
% 57.57/9.60 % (15880)------------------------------
% 57.57/9.60 % (15880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.57/9.60 % (15880)Termination reason: Unknown
% 57.57/9.60 % (15880)Termination phase: Saturation
% 57.57/9.60
% 57.57/9.60 % (15880)Memory used [KB]: 13816
% 57.57/9.60 % (15880)Time elapsed: 0.901 s
% 57.57/9.60 % (15880)Instructions burned: 3202 (million)
% 57.57/9.60 % (15880)------------------------------
% 57.57/9.60 % (15880)------------------------------
% 57.57/9.61 % (15887)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_15425 for (2919ds/2207Mi)
% 57.57/9.62 % (15885)Instruction limit reached!
% 57.57/9.62 % (15885)------------------------------
% 57.57/9.62 % (15885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.57/9.62 % (15885)Termination reason: Unknown
% 57.57/9.62 % (15885)Termination phase: Saturation
% 57.57/9.62
% 57.57/9.62 % (15885)Memory used [KB]: 9466
% 57.57/9.62 % (15885)Time elapsed: 0.526 s
% 57.57/9.62 % (15885)Instructions burned: 1683 (million)
% 57.57/9.62 % (15885)------------------------------
% 57.57/9.62 % (15885)------------------------------
% 57.57/9.63 % (15888)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_15425 for (2919ds/8216Mi)
% 58.40/9.78 % (15882)Instruction limit reached!
% 58.40/9.78 % (15882)------------------------------
% 58.40/9.78 % (15882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.40/9.78 % (15882)Termination reason: Unknown
% 58.40/9.78 % (15882)Termination phase: Saturation
% 58.40/9.78
% 58.40/9.78 % (15882)Memory used [KB]: 15223
% 58.40/9.78 % (15882)Time elapsed: 0.926 s
% 58.40/9.78 % (15882)Instructions burned: 3052 (million)
% 58.40/9.78 % (15882)------------------------------
% 58.40/9.78 % (15882)------------------------------
% 58.40/9.79 % (15889)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_15425 for (2918ds/430Mi)
% 58.71/9.90 % (15873)Instruction limit reached!
% 58.71/9.90 % (15873)------------------------------
% 58.71/9.90 % (15873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.71/9.90 % (15873)Termination reason: Unknown
% 58.71/9.90 % (15873)Termination phase: Saturation
% 58.71/9.90
% 58.71/9.90 % (15873)Memory used [KB]: 17910
% 58.71/9.90 % (15873)Time elapsed: 1.693 s
% 58.71/9.90 % (15873)Instructions burned: 5448 (million)
% 58.71/9.90 % (15873)------------------------------
% 58.71/9.90 % (15873)------------------------------
% 57.22/9.90 % (15889)Instruction limit reached!
% 57.22/9.90 % (15889)------------------------------
% 57.22/9.90 % (15889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.22/9.90 % (15889)Termination reason: Unknown
% 57.22/9.90 % (15889)Termination phase: Saturation
% 57.22/9.90
% 57.22/9.90 % (15889)Memory used [KB]: 8699
% 57.22/9.90 % (15889)Time elapsed: 0.116 s
% 57.22/9.90 % (15889)Instructions burned: 432 (million)
% 57.22/9.90 % (15889)------------------------------
% 57.22/9.90 % (15889)------------------------------
% 57.22/9.91 % (15890)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_15425 for (2916ds/2012Mi)
% 57.22/9.91 % (15891)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_15425 for (2916ds/631Mi)
% 61.89/10.10 % (15891)Instruction limit reached!
% 61.89/10.10 % (15891)------------------------------
% 61.89/10.10 % (15891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.89/10.10 % (15891)Termination reason: Unknown
% 61.89/10.10 % (15891)Termination phase: Saturation
% 61.89/10.10
% 61.89/10.10 % (15891)Memory used [KB]: 12153
% 61.89/10.10 % (15891)Time elapsed: 0.193 s
% 61.89/10.10 % (15891)Instructions burned: 633 (million)
% 61.89/10.10 % (15891)------------------------------
% 61.89/10.10 % (15891)------------------------------
% 62.61/10.11 % (15892)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_15425 for (2914ds/8785Mi)
% 63.71/10.30 % (15887)Instruction limit reached!
% 63.71/10.30 % (15887)------------------------------
% 63.71/10.30 % (15887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.71/10.30 % (15887)Termination reason: Unknown
% 63.71/10.30 % (15887)Termination phase: Saturation
% 63.71/10.30
% 63.71/10.30 % (15887)Memory used [KB]: 11641
% 63.71/10.30 % (15887)Time elapsed: 0.694 s
% 63.71/10.30 % (15887)Instructions burned: 2208 (million)
% 63.71/10.30 % (15887)------------------------------
% 63.71/10.30 % (15887)------------------------------
% 63.71/10.31 % (15879)Instruction limit reached!
% 63.71/10.31 % (15879)------------------------------
% 63.71/10.31 % (15879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.71/10.31 % (15879)Termination reason: Unknown
% 63.71/10.31 % (15879)Termination phase: Saturation
% 63.71/10.31
% 63.71/10.31 % (15879)Memory used [KB]: 22131
% 63.71/10.31 % (15879)Time elapsed: 1.623 s
% 63.71/10.31 % (15879)Instructions burned: 5215 (million)
% 63.71/10.31 % (15879)------------------------------
% 63.71/10.31 % (15879)------------------------------
% 63.71/10.31 % (15893)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_15425 for (2912ds/739Mi)
% 63.71/10.32 % (15894)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_15425 for (2912ds/5473Mi)
% 64.16/10.44 % (15886)Instruction limit reached!
% 64.16/10.44 % (15886)------------------------------
% 64.16/10.44 % (15886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.16/10.44 % (15886)Termination reason: Unknown
% 64.16/10.44 % (15886)Termination phase: Property scanning
% 64.16/10.44
% 64.16/10.44 % (15886)Memory used [KB]: 9210
% 64.16/10.44 % (15886)Time elapsed: 1.222 s
% 64.16/10.44 % (15886)Instructions burned: 4690 (million)
% 64.16/10.44 % (15886)------------------------------
% 64.16/10.44 % (15886)------------------------------
% 64.16/10.45 % (15895)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_15425 for (2911ds/43570Mi)
% 64.16/10.47 % (15895)Refutation not found, incomplete strategy
% 64.16/10.47 % (15895)------------------------------
% 64.16/10.47 % (15895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.16/10.47 % (15895)Termination reason: Refutation not found, incomplete strategy
% 64.16/10.47
% 64.16/10.47
% 64.16/10.47 % (15895)Memory used [KB]: 6908
% 64.16/10.47 % (15895)Time elapsed: 0.022 s
% 64.16/10.47 % (15895)Instructions burned: 70 (million)
% 64.16/10.47 % (15895)------------------------------
% 64.16/10.47 % (15895)------------------------------
% 64.16/10.48 % (15896)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_15425 for (2911ds/8382Mi)
% 64.54/10.51 % (15890)Instruction limit reached!
% 64.54/10.51 % (15890)------------------------------
% 64.54/10.51 % (15890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.54/10.51 % (15890)Termination reason: Unknown
% 64.54/10.51 % (15890)Termination phase: Saturation
% 64.54/10.51
% 64.54/10.51 % (15890)Memory used [KB]: 20212
% 64.54/10.51 % (15890)Time elapsed: 0.603 s
% 64.54/10.51 % (15890)Instructions burned: 2014 (million)
% 64.54/10.51 % (15890)------------------------------
% 64.54/10.51 % (15890)------------------------------
% 64.54/10.52 % (15897)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_15425 for (2910ds/407Mi)
% 64.54/10.54 % (15893)Instruction limit reached!
% 64.54/10.54 % (15893)------------------------------
% 64.54/10.54 % (15893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.54/10.54 % (15893)Termination reason: Unknown
% 64.54/10.54 % (15893)Termination phase: Saturation
% 64.54/10.54
% 64.54/10.54 % (15893)Memory used [KB]: 10874
% 64.54/10.54 % (15893)Time elapsed: 0.225 s
% 64.54/10.54 % (15893)Instructions burned: 739 (million)
% 64.54/10.54 % (15893)------------------------------
% 64.54/10.54 % (15893)------------------------------
% 64.54/10.55 % (15898)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_15425 for (2910ds/2971Mi)
% 65.01/10.63 % (15897)Instruction limit reached!
% 65.01/10.63 % (15897)------------------------------
% 65.01/10.63 % (15897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.01/10.63 % (15897)Termination reason: Unknown
% 65.01/10.63 % (15897)Termination phase: Saturation
% 65.01/10.63
% 65.01/10.63 % (15897)Memory used [KB]: 9210
% 65.01/10.63 % (15897)Time elapsed: 0.113 s
% 65.01/10.63 % (15897)Instructions burned: 409 (million)
% 65.01/10.63 % (15897)------------------------------
% 65.01/10.63 % (15897)------------------------------
% 65.01/10.63 % (15898)Refutation not found, incomplete strategy
% 65.01/10.63 % (15898)------------------------------
% 65.01/10.63 % (15898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.01/10.63 % (15898)Termination reason: Refutation not found, incomplete strategy
% 65.01/10.63
% 65.01/10.63
% 65.01/10.63 % (15898)Memory used [KB]: 8827
% 65.01/10.63 % (15898)Time elapsed: 0.087 s
% 65.01/10.63 % (15898)Instructions burned: 336 (million)
% 65.01/10.63 % (15898)------------------------------
% 65.01/10.63 % (15898)------------------------------
% 65.01/10.64 % (15899)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_15425 for (2909ds/9822Mi)
% 65.01/10.64 % (15900)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_15425 for (2909ds/8425Mi)
% 65.62/10.89 % (15899)Refutation not found, incomplete strategy
% 65.62/10.89 % (15899)------------------------------
% 65.62/10.89 % (15899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.62/10.89 % (15899)Termination reason: Refutation not found, incomplete strategy
% 65.62/10.89
% 65.62/10.89
% 65.62/10.89 % (15899)Memory used [KB]: 11001
% 65.62/10.89 % (15899)Time elapsed: 0.268 s
% 65.62/10.89 % (15899)Instructions burned: 841 (million)
% 65.62/10.89 % (15899)------------------------------
% 65.62/10.89 % (15899)------------------------------
% 66.08/10.90 % (15901)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_15425 for (2907ds/3107Mi)
% 68.98/11.05 % (15883)Instruction limit reached!
% 68.98/11.05 % (15883)------------------------------
% 68.98/11.05 % (15883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.98/11.05 % (15883)Termination reason: Unknown
% 68.98/11.05 % (15883)Termination phase: Saturation
% 68.98/11.05
% 68.98/11.05 % (15883)Memory used [KB]: 11129
% 68.98/11.05 % (15883)Time elapsed: 1.983 s
% 68.98/11.05 % (15883)Instructions burned: 7311 (million)
% 68.98/11.05 % (15883)------------------------------
% 68.98/11.05 % (15883)------------------------------
% 68.98/11.06 % (15902)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_15425 for (2905ds/7967Mi)
% 69.63/11.14 % (15902)Refutation not found, incomplete strategy
% 69.63/11.14 % (15902)------------------------------
% 69.63/11.14 % (15902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.63/11.14 % (15902)Termination reason: Refutation not found, incomplete strategy
% 69.63/11.14
% 69.63/11.14
% 69.63/11.14 % (15902)Memory used [KB]: 8315
% 69.63/11.14 % (15902)Time elapsed: 0.087 s
% 69.63/11.14 % (15902)Instructions burned: 334 (million)
% 69.63/11.14 % (15902)------------------------------
% 69.63/11.14 % (15902)------------------------------
% 69.63/11.15 % (15903)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_15425 for (2904ds/3629Mi)
% 71.38/11.47 % (15900)First to succeed.
% 71.38/11.48 % (15900)Refutation found. Thanks to Tanya!
% 71.38/11.48 % SZS status Theorem for DTF2THF_15425
% 71.38/11.48 % SZS output start Proof for DTF2THF_15425
% 71.38/11.48 thf(type_def_5, type, pi: $tType).
% 71.38/11.48 thf(type_def_7, type, name: $tType).
% 71.38/11.48 thf(type_def_8, type, late_freeRes: $tType).
% 71.38/11.48 thf(type_def_9, type, late_subject: $tType).
% 71.38/11.48 thf(type_def_10, type, late_residual: $tType).
% 71.38/11.48 thf(type_def_11, type, noption_name: $tType).
% 71.38/11.48 thf(type_def_12, type, noption_pi: $tType).
% 71.38/11.48 thf(type_def_13, type, noption_Late_freeRes: $tType).
% 71.38/11.48 thf(type_def_14, type, noption_Late_subject: $tType).
% 71.38/11.48 thf(type_def_15, type, produc1462499409ion_pi: $tType).
% 71.38/11.48 thf(type_def_16, type, produc405342261i_name: $tType).
% 71.38/11.48 thf(type_def_17, type, produc629157763_pi_pi: $tType).
% 71.38/11.48 thf(type_def_18, type, produc1834551554reeRes: $tType).
% 71.38/11.48 thf(type_def_19, type, produc691362330ubject: $tType).
% 71.38/11.48 thf(type_def_20, type, produc2008547984reeRes: $tType).
% 71.38/11.48 thf(type_def_21, type, produc865358760ubject: $tType).
% 71.38/11.48 thf(type_def_22, type, product_prod_pi_pi: $tType).
% 71.38/11.48 thf(type_def_23, type, produc2052722628s_name: $tType).
% 71.38/11.48 thf(type_def_24, type, produc992857746Res_pi: $tType).
% 71.38/11.48 thf(type_def_25, type, produc1357834675reeRes: $tType).
% 71.38/11.48 thf(type_def_26, type, produc214645451ubject: $tType).
% 71.38/11.48 thf(type_def_27, type, produc1998742700t_name: $tType).
% 71.38/11.48 thf(type_def_28, type, produc140253050ect_pi: $tType).
% 71.38/11.48 thf(type_def_29, type, produc355105483reeRes: $tType).
% 71.38/11.48 thf(type_def_30, type, produc1359399907ubject: $tType).
% 71.38/11.48 thf(type_def_31, type, set_Pr1834926343_pi_pi: $tType).
% 71.38/11.48 thf(func_def_0, type, produc1462499409ion_pi: $tType).
% 71.38/11.48 thf(func_def_1, type, produc691362330ubject: $tType).
% 71.38/11.48 thf(func_def_2, type, produc1834551554reeRes: $tType).
% 71.38/11.48 thf(func_def_3, type, produc405342261i_name: $tType).
% 71.38/11.48 thf(func_def_4, type, produc629157763_pi_pi: $tType).
% 71.38/11.48 thf(func_def_5, type, produc1359399907ubject: $tType).
% 71.38/11.48 thf(func_def_6, type, produc355105483reeRes: $tType).
% 71.38/11.48 thf(func_def_7, type, produc214645451ubject: $tType).
% 71.38/11.48 thf(func_def_8, type, produc1357834675reeRes: $tType).
% 71.38/11.48 thf(func_def_9, type, produc1998742700t_name: $tType).
% 71.38/11.48 thf(func_def_10, type, produc2052722628s_name: $tType).
% 71.38/11.48 thf(func_def_11, type, produc865358760ubject: $tType).
% 71.38/11.48 thf(func_def_12, type, produc2008547984reeRes: $tType).
% 71.38/11.48 thf(func_def_13, type, produc140253050ect_pi: $tType).
% 71.38/11.48 thf(func_def_14, type, produc992857746Res_pi: $tType).
% 71.38/11.48 thf(func_def_15, type, set_Pr1834926343_pi_pi: $tType).
% 71.38/11.48 thf(func_def_16, type, product_prod_pi_pi: $tType).
% 71.38/11.48 thf(func_def_17, type, noption_Late_subject: $tType).
% 71.38/11.48 thf(func_def_18, type, noption_Late_freeRes: $tType).
% 71.38/11.48 thf(func_def_19, type, noption_name: $tType).
% 71.38/11.48 thf(func_def_20, type, noption_pi: $tType).
% 71.38/11.48 thf(func_def_21, type, late_residual: $tType).
% 71.38/11.48 thf(func_def_22, type, late_subject: $tType).
% 71.38/11.48 thf(func_def_23, type, late_freeRes: $tType).
% 71.38/11.48 thf(func_def_24, type, name: $tType).
% 71.38/11.48 thf(func_def_25, type, pi: $tType).
% 71.38/11.48 thf(func_def_26, type, bang: pi > pi).
% 71.38/11.48 thf(func_def_27, type, input: name > name > pi > pi).
% 71.38/11.48 thf(func_def_28, type, match: name > name > pi > pi).
% 71.38/11.48 thf(func_def_29, type, mismatch: name > name > pi > pi).
% 71.38/11.48 thf(func_def_30, type, output: name > name > pi > pi).
% 71.38/11.48 thf(func_def_31, type, par: pi > pi > pi).
% 71.38/11.48 thf(func_def_32, type, piNil: pi).
% 71.38/11.48 thf(func_def_33, type, res: name > pi > pi).
% 71.38/11.48 thf(func_def_34, type, sum: pi > pi > pi).
% 71.38/11.48 thf(func_def_35, type, tau: pi > pi).
% 71.38/11.48 thf(func_def_36, type, subs: pi > name > name > pi).
% 71.38/11.48 thf(func_def_37, type, subst_name: name > name > name > name).
% 71.38/11.48 thf(func_def_38, type, if_name: $o > name > name > name).
% 71.38/11.48 thf(func_def_39, type, late_OutputR: name > name > late_freeRes).
% 71.38/11.48 thf(func_def_40, type, late_TauR: late_freeRes).
% 71.38/11.48 thf(func_def_41, type, late_BoundR: late_subject > name > pi > late_residual).
% 71.38/11.48 thf(func_def_42, type, late_FreeR: late_freeRes > pi > late_residual).
% 71.38/11.48 thf(func_def_43, type, late_BoundOutputS: name > late_subject).
% 71.38/11.48 thf(func_def_44, type, late_InputS: name > late_subject).
% 71.38/11.48 thf(func_def_45, type, late_transitions: pi > late_residual > $o).
% 71.38/11.48 thf(func_def_46, type, abs_fun_name_name: name > name > name > noption_name).
% 71.38/11.48 thf(func_def_47, type, abs_fun_name_pi: name > pi > name > noption_pi).
% 71.38/11.48 thf(func_def_48, type, abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes).
% 71.38/11.48 thf(func_def_49, type, abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject).
% 71.38/11.48 thf(func_def_50, type, fresh_1093033124n_name: name > (name > noption_name) > $o).
% 71.38/11.48 thf(func_def_51, type, fresh_543891186ion_pi: name > (name > noption_pi) > $o).
% 71.38/11.48 thf(func_def_52, type, fresh_785364841reeRes: name > (name > noption_Late_freeRes) > $o).
% 71.38/11.48 thf(func_def_53, type, fresh_728038529ubject: name > (name > noption_Late_subject) > $o).
% 71.38/11.48 thf(func_def_54, type, fresh_name_name: name > name > $o).
% 71.38/11.48 thf(func_def_55, type, fresh_name_pi: name > pi > $o).
% 71.38/11.48 thf(func_def_56, type, fresh_1641682979reeRes: name > late_freeRes > $o).
% 71.38/11.48 thf(func_def_57, type, fresh_81631222sidual: name > late_residual > $o).
% 71.38/11.48 thf(func_def_58, type, fresh_717452603ubject: name > late_subject > $o).
% 71.38/11.48 thf(func_def_59, type, fresh_225680151ion_pi: name > produc1462499409ion_pi > $o).
% 71.38/11.48 thf(func_def_60, type, fresh_453496559i_name: name > produc405342261i_name > $o).
% 71.38/11.48 thf(func_def_61, type, fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o).
% 71.38/11.48 thf(func_def_62, type, fresh_1711070152reeRes: name > produc1834551554reeRes > $o).
% 71.38/11.48 thf(func_def_63, type, fresh_567880928ubject: name > produc691362330ubject > $o).
% 71.38/11.48 thf(func_def_64, type, fresh_1963366730reeRes: name > produc2008547984reeRes > $o).
% 71.38/11.48 thf(func_def_65, type, fresh_820177506ubject: name > produc865358760ubject > $o).
% 71.38/11.48 thf(func_def_66, type, fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o).
% 71.38/11.48 thf(func_def_67, type, fresh_2007541374s_name: name > produc2052722628s_name > $o).
% 71.38/11.48 thf(func_def_68, type, fresh_1847501388Res_pi: name > produc992857746Res_pi > $o).
% 71.38/11.48 thf(func_def_69, type, fresh_493808761reeRes: name > produc1357834675reeRes > $o).
% 71.38/11.48 thf(func_def_70, type, fresh_1498103185ubject: name > produc214645451ubject > $o).
% 71.38/11.48 thf(func_def_71, type, fresh_1953561446t_name: name > produc1998742700t_name > $o).
% 71.38/11.48 thf(func_def_72, type, fresh_994896692ect_pi: name > produc140253050ect_pi > $o).
% 71.38/11.48 thf(func_def_73, type, fresh_1638563217reeRes: name > produc355105483reeRes > $o).
% 71.38/11.48 thf(func_def_74, type, fresh_495373993ubject: name > produc1359399907ubject > $o).
% 71.38/11.48 thf(func_def_75, type, produc1342893193ion_pi: (name > noption_pi) > (name > noption_pi) > produc1462499409ion_pi).
% 71.38/11.48 thf(func_def_76, type, produc540578151i_name: (name > noption_pi) > name > produc405342261i_name).
% 71.38/11.48 thf(func_def_77, type, produc1820286517_pi_pi: (name > noption_pi) > pi > produc629157763_pi_pi).
% 71.38/11.48 thf(func_def_78, type, produc1505598906reeRes: (name > noption_pi) > late_freeRes > produc1834551554reeRes).
% 71.38/11.48 thf(func_def_79, type, produc581368530ubject: (name > noption_pi) > late_subject > produc691362330ubject).
% 71.38/11.48 thf(func_def_80, type, produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes).
% 71.38/11.48 thf(func_def_81, type, produc607574050ubject: name > late_subject > produc865358760ubject).
% 71.38/11.48 thf(func_def_82, type, product_Pair_pi_pi: pi > pi > product_prod_pi_pi).
% 71.38/11.48 thf(func_def_83, type, produc1701355766s_name: late_freeRes > name > produc2052722628s_name).
% 71.38/11.48 thf(func_def_84, type, produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi).
% 71.38/11.48 thf(func_def_85, type, produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes).
% 71.38/11.48 thf(func_def_86, type, produc320590723ubject: late_freeRes > late_subject > produc214645451ubject).
% 71.38/11.48 thf(func_def_87, type, produc1647375838t_name: late_subject > name > produc1998742700t_name).
% 71.38/11.48 thf(func_def_88, type, produc324947500ect_pi: late_subject > pi > produc140253050ect_pi).
% 71.38/11.48 thf(func_def_89, type, produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes).
% 71.38/11.48 thf(func_def_90, type, produc1465345179ubject: late_subject > late_subject > produc1359399907ubject).
% 71.38/11.48 thf(func_def_91, type, eqvt_pi: set_Pr1834926343_pi_pi > $o).
% 71.38/11.48 thf(func_def_92, type, collec1051790738_pi_pi: (product_prod_pi_pi > $o) > set_Pr1834926343_pi_pi).
% 71.38/11.48 thf(func_def_93, type, strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o).
% 71.38/11.48 thf(func_def_94, type, strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o).
% 71.38/11.48 thf(func_def_95, type, member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o).
% 71.38/11.48 thf(func_def_96, type, p: pi).
% 71.38/11.48 thf(func_def_97, type, pq: pi).
% 71.38/11.48 thf(func_def_98, type, p2: pi).
% 71.38/11.48 thf(func_def_99, type, q: pi).
% 71.38/11.48 thf(func_def_100, type, q2: pi).
% 71.38/11.48 thf(func_def_101, type, rel: set_Pr1834926343_pi_pi).
% 71.38/11.48 thf(func_def_102, type, alpha: late_freeRes).
% 71.38/11.48 thf(func_def_103, type, aa: name).
% 71.38/11.48 thf(func_def_104, type, x: name).
% 71.38/11.48 thf(func_def_105, type, xPQ: pi).
% 71.38/11.48 thf(func_def_106, type, y: name).
% 71.38/11.48 thf(func_def_107, type, z: name).
% 71.38/11.48 thf(func_def_126, type, sP0: pi > pi > late_subject > name > pi > $o).
% 71.38/11.48 thf(func_def_127, type, sP1: late_residual > name > pi > $o).
% 71.38/11.48 thf(func_def_128, type, sP2: late_residual > name > pi > $o).
% 71.38/11.48 thf(func_def_129, type, sP3: late_subject > name > pi > name > pi > $o).
% 71.38/11.48 thf(func_def_130, type, sK4: pi > name).
% 71.38/11.48 thf(func_def_131, type, sK5: (late_subject > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_132, type, sK6: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_133, type, sK7: (late_subject > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_134, type, sK8: (late_subject > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_135, type, sK9: (late_subject > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_136, type, sK10: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_137, type, sK11: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_138, type, sK12: pi > pi > late_subject > name > pi > name).
% 71.38/11.48 thf(func_def_139, type, sK13: pi > pi > late_subject > name > pi > pi).
% 71.38/11.48 thf(func_def_140, type, sK14: pi > pi > late_subject > name > pi > pi).
% 71.38/11.48 thf(func_def_141, type, sK15: pi > pi > late_subject > name > pi > late_subject).
% 71.38/11.48 thf(func_def_142, type, sK16: pi > pi > late_subject > name > pi > pi).
% 71.38/11.48 thf(func_def_143, type, sK17: pi > pi > name > late_subject > pi > late_subject).
% 71.38/11.48 thf(func_def_144, type, sK18: pi > pi > name > late_subject > pi > pi).
% 71.38/11.48 thf(func_def_145, type, sK19: pi > pi > name > late_subject > pi > pi).
% 71.38/11.48 thf(func_def_146, type, sK20: pi > pi > name > late_subject > pi > pi).
% 71.38/11.48 thf(func_def_147, type, sK21: pi > pi > name > late_subject > pi > name).
% 71.38/11.48 thf(func_def_148, type, sK22: (pi > $o) > late_subject > pi > pi > name > pi).
% 71.38/11.48 thf(func_def_149, type, sK23: (pi > $o) > late_subject > pi > pi > name > pi).
% 71.38/11.48 thf(func_def_150, type, sK24: name > pi > late_freeRes > (pi > $o) > pi).
% 71.38/11.48 thf(func_def_151, type, sK25: late_residual > pi > pi).
% 71.38/11.48 thf(func_def_152, type, sK26: (pi > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_153, type, sK27: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_154, type, sK28: (pi > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_155, type, sK29: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_156, type, sK30: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_157, type, sK31: (pi > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_158, type, sK32: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_159, type, sK33: (late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_160, type, sK34: (late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_161, type, sK35: (late_residual > $o) > name).
% 71.38/11.48 thf(func_def_162, type, sK36: (late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_163, type, sK37: (late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_164, type, sK38: (name > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_165, type, sK39: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_166, type, sK40: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_167, type, sK41: (name > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_168, type, sK42: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_169, type, sK43: (name > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_170, type, sK44: (name > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_171, type, sK45: late_residual > name > pi > name).
% 71.38/11.48 thf(func_def_172, type, sK46: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_173, type, sK47: late_residual > name > pi > name).
% 71.38/11.48 thf(func_def_174, type, sK48: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_175, type, sK49: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_176, type, sK50: late_residual > name > pi > name).
% 71.38/11.48 thf(func_def_177, type, sK51: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_178, type, sK52: late_residual > name > pi > name).
% 71.38/11.48 thf(func_def_179, type, sK53: late_residual > name > pi > late_subject).
% 71.38/11.48 thf(func_def_180, type, sK54: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_181, type, sK55: late_residual > name > pi > late_freeRes).
% 71.38/11.48 thf(func_def_182, type, sK56: late_residual > name > pi > name).
% 71.38/11.48 thf(func_def_183, type, sK57: late_residual > name > pi > pi).
% 71.38/11.48 thf(func_def_184, type, sK58: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_185, type, sK59: (late_freeRes > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_186, type, sK60: (late_freeRes > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_187, type, sK61: (late_freeRes > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_188, type, sK62: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_189, type, sK63: (late_freeRes > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_190, type, sK64: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_191, type, sK65: late_subject > name).
% 71.38/11.48 thf(func_def_192, type, sK66: late_subject > name).
% 71.38/11.48 thf(func_def_193, type, sK67: late_freeRes > name).
% 71.38/11.48 thf(func_def_194, type, sK68: (late_subject > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_195, type, sK69: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_196, type, sK70: (late_subject > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_197, type, sK71: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_198, type, sK72: (late_subject > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_199, type, sK73: (late_subject > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_200, type, sK74: (late_subject > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_201, type, sK75: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_202, type, sK76: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_203, type, sK77: (pi > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_204, type, sK78: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_205, type, sK79: (pi > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_206, type, sK80: (pi > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_207, type, sK81: (pi > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_208, type, sK82: (late_freeRes > $o) > name).
% 71.38/11.48 thf(func_def_209, type, sK83: (late_freeRes > $o) > name).
% 71.38/11.48 thf(func_def_210, type, sK84: late_subject > name > pi > name > pi > name).
% 71.38/11.48 thf(func_def_211, type, sK85: late_subject > name > pi > name > pi > pi).
% 71.38/11.48 thf(func_def_212, type, sK86: late_subject > name > pi > name > pi > pi).
% 71.38/11.48 thf(func_def_213, type, sK87: late_subject > name > pi > name > pi > name).
% 71.38/11.48 thf(func_def_214, type, sK88: late_subject > name > pi > name > pi > late_subject).
% 71.38/11.48 thf(func_def_215, type, sK89: name > name > pi > pi > late_subject > name).
% 71.38/11.48 thf(func_def_216, type, sK90: name > name > pi > pi > late_subject > name).
% 71.38/11.48 thf(func_def_217, type, sK91: name > name > pi > pi > late_subject > pi).
% 71.38/11.48 thf(func_def_218, type, sK92: name > name > pi > pi > late_subject > pi).
% 71.38/11.48 thf(func_def_219, type, sK93: (late_subject > $o) > name).
% 71.38/11.48 thf(func_def_220, type, sK94: (late_subject > $o) > name).
% 71.38/11.48 thf(func_def_221, type, sK95: pi > late_freeRes > pi > name > pi).
% 71.38/11.48 thf(func_def_222, type, sK96: pi > late_freeRes > pi > name > name).
% 71.38/11.48 thf(func_def_223, type, sK97: pi > late_freeRes > pi > name > pi).
% 71.38/11.48 thf(func_def_224, type, sK98: pi > late_freeRes > pi > name > late_freeRes).
% 71.38/11.48 thf(func_def_225, type, sK99: late_freeRes > name).
% 71.38/11.48 thf(func_def_226, type, sK100: late_freeRes > name).
% 71.38/11.48 thf(func_def_227, type, sK101: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_228, type, sK102: (name > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_229, type, sK103: (name > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_230, type, sK104: (name > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_231, type, sK105: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_232, type, sK106: (name > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_233, type, sK107: (name > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_234, type, sK108: late_subject > name).
% 71.38/11.48 thf(func_def_235, type, sK109: name > name > late_residual > pi > name).
% 71.38/11.48 thf(func_def_236, type, sK110: name > name > late_residual > pi > name).
% 71.38/11.48 thf(func_def_237, type, sK111: name > name > late_residual > pi > pi).
% 71.38/11.48 thf(func_def_238, type, sK112: name > name).
% 71.38/11.48 thf(func_def_239, type, sK113: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_240, type, sK114: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_241, type, sK115: (late_freeRes > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_242, type, sK116: (late_freeRes > late_residual > $o) > name).
% 71.38/11.48 thf(func_def_243, type, sK117: (late_freeRes > late_residual > $o) > late_freeRes).
% 71.38/11.48 thf(func_def_244, type, sK118: (late_freeRes > late_residual > $o) > late_subject).
% 71.38/11.48 thf(func_def_245, type, sK119: (late_freeRes > late_residual > $o) > pi).
% 71.38/11.48 thf(func_def_246, type, ph120: !>[X0: $tType]:(X0)).
% 71.38/11.48 thf(f5005,plain,(
% 71.38/11.48 $false),
% 71.38/11.48 inference(subsumption_resolution,[status(thm)],[f5004,f1552])).
% 71.38/11.48 thf(f1552,plain,(
% 71.38/11.48 ( ! [X0 : name] : (((fresh_717452603ubject @ X0 @ (late_InputS @ X0)) != $true)) )),
% 71.38/11.48 inference(trivial_inequality_removal,[status(thm)],[f1551])).
% 71.38/11.48 thf(f1551,plain,(
% 71.38/11.48 ( ! [X0 : name] : (($true != $true) | ((fresh_717452603ubject @ X0 @ (late_InputS @ X0)) != $true)) )),
% 71.38/11.48 inference(superposition,[status(thm)],[f1164,f1054])).
% 71.38/11.48 thf(f1054,plain,(
% 71.38/11.48 ( ! [X2 : name,X0 : name,X1 : pi] : (($true = (late_transitions @ (input @ X2 @ X0 @ X1) @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X1)))) )),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f606])).
% 71.38/11.48 thf(f606,plain,(
% 71.38/11.48 ! [X0 : name,X1 : pi,X2 : name] : ($true = (late_transitions @ (input @ X2 @ X0 @ X1) @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X1)))),
% 71.38/11.48 inference(fool_elimination,[status(thm)],[f605])).
% 71.38/11.48 thf(f605,plain,(
% 71.38/11.48 ! [X0 : name,X1 : pi,X2 : name] : (late_transitions @ (input @ X2 @ X0 @ X1) @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X1))),
% 71.38/11.48 inference(rectify,[status(thm)],[f238])).
% 71.38/11.48 thf(f238,axiom,(
% 71.38/11.48 ! [X7 : name,X3 : pi,X0 : name] : (late_transitions @ (input @ X0 @ X7 @ X3) @ (late_BoundR @ (late_InputS @ X0) @ X7 @ X3))),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_237_Late__Semantics_OInput)).
% 71.38/11.48 thf(f1164,plain,(
% 71.38/11.48 ( ! [X2 : name,X3 : late_subject,X0 : pi,X1 : name,X4 : name,X5 : pi] : (($true != (late_transitions @ (input @ X1 @ X2 @ X5) @ (late_BoundR @ X3 @ X4 @ X0))) | ($true != (fresh_717452603ubject @ X1 @ X3))) )),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f941])).
% 71.38/11.48 thf(f941,plain,(
% 71.38/11.48 ! [X0 : pi,X1 : name,X2 : name,X3 : late_subject,X4 : name,X5 : pi] : (($true != (fresh_717452603ubject @ X1 @ X3)) | ($true != (late_transitions @ (input @ X1 @ X2 @ X5) @ (late_BoundR @ X3 @ X4 @ X0))))),
% 71.38/11.48 inference(ennf_transformation,[status(thm)],[f817])).
% 71.38/11.48 thf(f817,plain,(
% 71.38/11.48 ! [X0 : pi,X1 : name,X2 : name,X3 : late_subject,X4 : name,X5 : pi] : (($true = (late_transitions @ (input @ X1 @ X2 @ X5) @ (late_BoundR @ X3 @ X4 @ X0))) => ($true != (fresh_717452603ubject @ X1 @ X3)))),
% 71.38/11.48 inference(flattening,[status(thm)],[f344])).
% 71.38/11.48 thf(f344,plain,(
% 71.38/11.48 ! [X0 : pi,X1 : name,X2 : name,X3 : late_subject,X4 : name,X5 : pi] : (($true = (late_transitions @ (input @ X1 @ X2 @ X5) @ (late_BoundR @ X3 @ X4 @ X0))) => ~($true = (fresh_717452603ubject @ X1 @ X3)))),
% 71.38/11.48 inference(fool_elimination,[status(thm)],[f343])).
% 71.38/11.48 thf(f343,plain,(
% 71.38/11.48 ! [X0 : pi,X1 : name,X2 : name,X3 : late_subject,X4 : name,X5 : pi] : ((late_transitions @ (input @ X1 @ X2 @ X5) @ (late_BoundR @ X3 @ X4 @ X0)) => ~(fresh_717452603ubject @ X1 @ X3))),
% 71.38/11.48 inference(rectify,[status(thm)],[f241])).
% 71.38/11.48 thf(f241,axiom,(
% 71.38/11.48 ! [X5 : pi,X0 : name,X7 : name,X44 : late_subject,X6 : name,X3 : pi] : ((late_transitions @ (input @ X0 @ X7 @ X3) @ (late_BoundR @ X44 @ X6 @ X5)) => ~(fresh_717452603ubject @ X0 @ X44))),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_240_inputIneqTrans)).
% 71.38/11.48 thf(f5004,plain,(
% 71.38/11.48 ($true = (fresh_717452603ubject @ aa @ (late_InputS @ aa)))),
% 71.38/11.48 inference(trivial_inequality_removal,[status(thm)],[f4997])).
% 71.38/11.48 thf(f4997,plain,(
% 71.38/11.48 ($true != $true) | ($true = (fresh_717452603ubject @ aa @ (late_InputS @ aa)))),
% 71.38/11.48 inference(superposition,[status(thm)],[f1542,f1257])).
% 71.38/11.48 thf(f1257,plain,(
% 71.38/11.48 ((fresh_name_pi @ aa @ p) = $true)),
% 71.38/11.48 inference(definition_unfolding,[status(thm)],[f1158,f1102])).
% 71.38/11.48 thf(f1102,plain,(
% 71.38/11.48 (x = aa)),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f791])).
% 71.38/11.48 thf(f791,plain,(
% 71.38/11.48 (x = aa)),
% 71.38/11.48 inference(flattening,[status(thm)],[f323])).
% 71.38/11.48 thf(f323,negated_conjecture,(
% 71.38/11.48 ~(x != aa)),
% 71.38/11.48 inference(negated_conjecture,[status(cth)],[f322])).
% 71.38/11.48 thf(f322,conjecture,(
% 71.38/11.48 (x != aa)),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',conj_0)).
% 71.38/11.48 thf(f1158,plain,(
% 71.38/11.48 ((fresh_name_pi @ x @ p) = $true)),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f466])).
% 71.38/11.48 thf(f466,plain,(
% 71.38/11.48 ((fresh_name_pi @ x @ p) = $true)),
% 71.38/11.48 inference(fool_elimination,[status(thm)],[f465])).
% 71.38/11.48 thf(f465,plain,(
% 71.38/11.48 (fresh_name_pi @ x @ p)),
% 71.38/11.48 inference(rectify,[status(thm)],[f4])).
% 71.38/11.48 thf(f4,axiom,(
% 71.38/11.48 (fresh_name_pi @ x @ p)),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_3_assms_I1_J)).
% 71.38/11.48 thf(f1542,plain,(
% 71.38/11.48 ( ! [X0 : name] : (($true != (fresh_name_pi @ X0 @ p)) | ($true = (fresh_717452603ubject @ X0 @ (late_InputS @ aa)))) )),
% 71.38/11.48 inference(trivial_inequality_removal,[status(thm)],[f1541])).
% 71.38/11.48 thf(f1541,plain,(
% 71.38/11.48 ( ! [X0 : name] : (($true = (fresh_717452603ubject @ X0 @ (late_InputS @ aa))) | ($true != (fresh_name_pi @ X0 @ p)) | ($true != $true)) )),
% 71.38/11.48 inference(superposition,[status(thm)],[f1099,f1149])).
% 71.38/11.48 thf(f1149,plain,(
% 71.38/11.48 ((late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2)) = $true)),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f372])).
% 71.38/11.48 thf(f372,plain,(
% 71.38/11.48 ((late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2)) = $true)),
% 71.38/11.48 inference(fool_elimination,[status(thm)],[f371])).
% 71.38/11.48 thf(f371,plain,(
% 71.38/11.48 (late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))),
% 71.38/11.48 inference(rectify,[status(thm)],[f9])).
% 71.38/11.48 thf(f9,axiom,(
% 71.38/11.48 (late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_8_cClose1_Ohyps_I1_J)).
% 71.38/11.48 thf(f1099,plain,(
% 71.38/11.48 ( ! [X2 : late_subject,X3 : pi,X0 : name,X1 : name,X4 : pi] : (((late_transitions @ X3 @ (late_BoundR @ X2 @ X1 @ X4)) != $true) | ((fresh_name_pi @ X0 @ X3) != $true) | ($true = (fresh_717452603ubject @ X0 @ X2))) )),
% 71.38/11.48 inference(cnf_transformation,[status(thm)],[f872])).
% 71.38/11.48 thf(f872,plain,(
% 71.38/11.48 ! [X0 : name,X1 : name,X2 : late_subject,X3 : pi,X4 : pi] : (((fresh_name_pi @ X0 @ X3) != $true) | ((late_transitions @ X3 @ (late_BoundR @ X2 @ X1 @ X4)) != $true) | ($true = (fresh_717452603ubject @ X0 @ X2)))),
% 71.38/11.48 inference(flattening,[status(thm)],[f871])).
% 71.38/11.48 thf(f871,plain,(
% 71.38/11.48 ! [X0 : name,X1 : name,X2 : late_subject,X3 : pi,X4 : pi] : ((($true = (fresh_717452603ubject @ X0 @ X2)) | ((fresh_name_pi @ X0 @ X3) != $true)) | ((late_transitions @ X3 @ (late_BoundR @ X2 @ X1 @ X4)) != $true))),
% 71.38/11.48 inference(ennf_transformation,[status(thm)],[f482])).
% 71.38/11.48 thf(f482,plain,(
% 71.38/11.48 ! [X0 : name,X1 : name,X2 : late_subject,X3 : pi,X4 : pi] : (((late_transitions @ X3 @ (late_BoundR @ X2 @ X1 @ X4)) = $true) => (((fresh_name_pi @ X0 @ X3) = $true) => ($true = (fresh_717452603ubject @ X0 @ X2))))),
% 71.38/11.48 inference(fool_elimination,[status(thm)],[f481])).
% 71.38/11.48 thf(f481,plain,(
% 71.38/11.48 ! [X0 : name,X1 : name,X2 : late_subject,X3 : pi,X4 : pi] : ((late_transitions @ X3 @ (late_BoundR @ X2 @ X1 @ X4)) => ((fresh_name_pi @ X0 @ X3) => (fresh_717452603ubject @ X0 @ X2)))),
% 71.38/11.48 inference(rectify,[status(thm)],[f102])).
% 71.38/11.48 thf(f102,axiom,(
% 71.38/11.48 ! [X6 : name,X7 : name,X0 : late_subject,X3 : pi,X5 : pi] : ((late_transitions @ X3 @ (late_BoundR @ X0 @ X7 @ X5)) => ((fresh_name_pi @ X6 @ X3) => (fresh_717452603ubject @ X6 @ X0)))),
% 71.38/11.48 file('/export/starexec/sandbox2/tmp/tmp.Kxojloipes/DTF2THF_15425.p',fact_101_freshBoundDerivative_I1_J)).
% 71.38/11.48 % SZS output end Proof for DTF2THF_15425
% 71.38/11.48 % (15900)------------------------------
% 71.38/11.48 % (15900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.38/11.48 % (15900)Termination reason: Refutation
% 71.38/11.48
% 71.38/11.48 % (15900)Memory used [KB]: 8699
% 71.38/11.48 % (15900)Time elapsed: 0.854 s
% 71.38/11.48 % (15900)Instructions burned: 2880 (million)
% 71.38/11.48 % (15900)------------------------------
% 71.38/11.48 % (15900)------------------------------
% 71.38/11.48 % (15644)Success in time 9.889 s
%------------------------------------------------------------------------------