TSTP Solution File: ITP187^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP187^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Mon May 20 22:55:34 EDT 2024
% Result : Theorem 21.48s 3.43s
% Output : Refutation 21.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 351
% Syntax : Number of formulae : 377 ( 14 unt; 345 typ; 0 def)
% Number of atoms : 625 ( 37 equ; 0 cnn)
% Maximal formula atoms : 3 ( 19 avg)
% Number of connectives : 38 ( 18 ~; 13 |; 4 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 912 ( 909 >; 3 *; 0 +; 0 <<)
% Number of symbols : 338 ( 335 usr; 16 con; 0-8 aty)
% Number of variables : 474 ( 0 ^ 28 !; 4 ?; 474 :)
% ( 442 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
pi: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $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: $tType > $tType ).
thf(type_def_12,type,
product_prod: ( $tType * $tType ) > $tType ).
thf(type_def_13,type,
set: $tType > $tType ).
thf(func_def_0,type,
late_residual: $tType ).
thf(func_def_1,type,
late_subject: $tType ).
thf(func_def_2,type,
late_freeRes: $tType ).
thf(func_def_3,type,
product_prod: ( $tType * $tType ) > $tType ).
thf(func_def_4,type,
noption: $tType > $tType ).
thf(func_def_5,type,
name: $tType ).
thf(func_def_6,type,
pi: $tType ).
thf(func_def_7,type,
set: $tType > $tType ).
thf(func_def_8,type,
fs_name:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
bang: pi > pi ).
thf(func_def_10,type,
input: name > name > pi > pi ).
thf(func_def_11,type,
match: name > name > pi > pi ).
thf(func_def_12,type,
mismatch: name > name > pi > pi ).
thf(func_def_13,type,
output: name > name > pi > pi ).
thf(func_def_14,type,
par: pi > pi > pi ).
thf(func_def_15,type,
piNil: pi ).
thf(func_def_16,type,
res: name > pi > pi ).
thf(func_def_17,type,
sum: pi > pi > pi ).
thf(func_def_18,type,
tau: pi > pi ).
thf(func_def_19,type,
subs: pi > name > name > pi ).
thf(func_def_20,type,
subst_name: name > name > name > name ).
thf(func_def_21,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_22,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_23,type,
late_TauR: late_freeRes ).
thf(func_def_24,type,
late_freeRes_rec:
!>[X0: $tType] : ( ( name > name > X0 ) > X0 > late_freeRes > X0 ) ).
thf(func_def_25,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_26,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_27,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_28,type,
late_InputS: name > late_subject ).
thf(func_def_29,type,
late_subject_rec:
!>[X0: $tType] : ( ( name > X0 ) > ( name > X0 ) > late_subject > X0 ) ).
thf(func_def_30,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_31,type,
abs_fun:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 > noption(X1) ) ).
thf(func_def_32,type,
fresh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).
thf(func_def_33,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > product_prod(X0,X1) ) ).
thf(func_def_34,type,
produc2004651681e_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).
thf(func_def_35,type,
product_rec_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).
thf(func_def_36,type,
eqvt:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).
thf(func_def_37,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_38,type,
strong2129052853vative: pi > pi > late_subject > name > set(product_prod(pi,pi)) > $o ).
thf(func_def_39,type,
strong743114133lation: pi > set(product_prod(pi,pi)) > pi > $o ).
thf(func_def_40,type,
member:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_41,type,
p: pi ).
thf(func_def_42,type,
pqr: pi ).
thf(func_def_43,type,
p2: pi ).
thf(func_def_44,type,
q: pi ).
thf(func_def_45,type,
qr: pi ).
thf(func_def_46,type,
q2: pi ).
thf(func_def_47,type,
r: pi ).
thf(func_def_48,type,
rel: set(product_prod(pi,pi)) ).
thf(func_def_49,type,
alpha: late_freeRes ).
thf(func_def_50,type,
a: name ).
thf(func_def_51,type,
x: name ).
thf(func_def_52,type,
y: name ).
thf(func_def_56,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_57,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_58,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_59,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_60,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_61,type,
vAND: $o > $o > $o ).
thf(func_def_62,type,
vIMP: $o > $o > $o ).
thf(func_def_63,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_64,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_65,type,
vNOT: $o > $o ).
thf(func_def_66,type,
vOR: $o > $o > $o ).
thf(func_def_67,type,
sP0:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_68,type,
sP1:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_69,type,
sP2:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_70,type,
sP3:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_71,type,
sP4:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_72,type,
sP5:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_73,type,
sP6:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_74,type,
sP7:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_75,type,
sP8:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_76,type,
sP9:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_77,type,
sP10:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_78,type,
sP11:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_79,type,
sP12:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_80,type,
sP13:
!>[X0: $tType] : ( ( X0 > pi > $o ) > $o ) ).
thf(func_def_81,type,
sP14:
!>[X0: $tType] : ( pi > X0 > pi > set(product_prod(pi,pi)) > $o ) ).
thf(func_def_82,type,
sP15:
!>[X0: $tType] : ( pi > X0 > pi > name > set(product_prod(pi,pi)) > $o ) ).
thf(func_def_83,type,
sP16: pi > pi > name > set(product_prod(pi,pi)) > $o ).
thf(func_def_84,type,
sP17: pi > pi > set(product_prod(pi,pi)) > $o ).
thf(func_def_85,type,
sP18: name > pi > late_residual > $o ).
thf(func_def_86,type,
sP19: name > pi > late_residual > $o ).
thf(func_def_87,type,
sP20: name > name > pi > late_residual > $o ).
thf(func_def_88,type,
sP21: name > pi > late_subject > name > pi > $o ).
thf(func_def_89,type,
sP22: pi > pi > late_subject > name > pi > $o ).
thf(func_def_90,type,
sP23: pi > pi > late_subject > name > pi > $o ).
thf(func_def_91,type,
sK24: late_subject > name ).
thf(func_def_92,type,
sK25: late_subject > name ).
thf(func_def_93,type,
sK26: late_freeRes > name ).
thf(func_def_94,type,
sK27: late_freeRes > name ).
thf(func_def_95,type,
sK28:
!>[X0: $tType] : ( X0 > name ) ).
thf(func_def_96,type,
sK29:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_97,type,
sK30:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_98,type,
sK31:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_99,type,
sK32:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_100,type,
sK33:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_101,type,
sK34:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_102,type,
sK35:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_103,type,
sK36:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_104,type,
sK37:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_105,type,
sK38:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_106,type,
sK39:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_107,type,
sK40:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_108,type,
sK41:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_109,type,
sK42:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_110,type,
sK43:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_111,type,
sK44:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_112,type,
sK45:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_113,type,
sK46:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_114,type,
sK47:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_115,type,
sK48:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_116,type,
sK49:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_117,type,
sK50:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_118,type,
sK51:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_119,type,
sK52:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_120,type,
sK53:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_121,type,
sK54:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_122,type,
sK55:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_123,type,
sK56:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_124,type,
sK57:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_125,type,
sK58:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_126,type,
sK59:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_127,type,
sK60:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_128,type,
sK61:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_129,type,
sK62:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_130,type,
sK63:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_131,type,
sK64:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_132,type,
sK65:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_133,type,
sK66:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_134,type,
sK67:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_135,type,
sK68:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_136,type,
sK69:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_137,type,
sK70:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_138,type,
sK71:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_139,type,
sK72:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_140,type,
sK73:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_141,type,
sK74:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_142,type,
sK75:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_143,type,
sK76:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_144,type,
sK77:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_145,type,
sK78:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_146,type,
sK79:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_147,type,
sK80:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_148,type,
sK81:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_149,type,
sK82:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_150,type,
sK83:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_151,type,
sK84:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_152,type,
sK85:
!>[X0: $tType] : ( ( X0 > pi > $o ) > name ) ).
thf(func_def_153,type,
sK86:
!>[X0: $tType] : ( ( X0 > pi > $o ) > pi ) ).
thf(func_def_154,type,
sK87:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_155,type,
sK88:
!>[X0: $tType] : ( ( X0 > pi > $o ) > X0 ) ).
thf(func_def_156,type,
sK89:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > late_freeRes ) ).
thf(func_def_157,type,
sK90:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > pi ) ).
thf(func_def_158,type,
sK91:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > X0 ) ).
thf(func_def_159,type,
sK92:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > late_subject ) ).
thf(func_def_160,type,
sK93:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > name ) ).
thf(func_def_161,type,
sK94:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > pi ) ).
thf(func_def_162,type,
sK95:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > X0 ) ).
thf(func_def_163,type,
sK96:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > late_freeRes ) ).
thf(func_def_164,type,
sK97:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > pi ) ).
thf(func_def_165,type,
sK98:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > X0 ) ).
thf(func_def_166,type,
sK99:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > late_subject ) ).
thf(func_def_167,type,
sK100:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > name ) ).
thf(func_def_168,type,
sK101:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > pi ) ).
thf(func_def_169,type,
sK102:
!>[X0: $tType] : ( ( X0 > late_residual > $o ) > X0 ) ).
thf(func_def_170,type,
sK103:
!>[X0: $tType] : ( pi > X0 > pi > set(product_prod(pi,pi)) > late_subject ) ).
thf(func_def_171,type,
sK104:
!>[X0: $tType] : ( pi > X0 > pi > set(product_prod(pi,pi)) > name ) ).
thf(func_def_172,type,
sK105:
!>[X0: $tType] : ( pi > X0 > pi > set(product_prod(pi,pi)) > pi ) ).
thf(func_def_173,type,
sK106: pi > pi > set(product_prod(pi,pi)) > late_freeRes ).
thf(func_def_174,type,
sK107: pi > pi > set(product_prod(pi,pi)) > pi ).
thf(func_def_175,type,
sK108: pi > pi > name > set(product_prod(pi,pi)) > pi ).
thf(func_def_176,type,
sK109: pi > pi > name > set(product_prod(pi,pi)) > name ).
thf(func_def_177,type,
sK110:
!>[X0: $tType] : ( pi > X0 > pi > name > set(product_prod(pi,pi)) > pi ) ).
thf(func_def_178,type,
sK111:
!>[X0: $tType] : ( pi > X0 > pi > name > set(product_prod(pi,pi)) > late_subject ) ).
thf(func_def_179,type,
sK112:
!>[X0: $tType] : ( pi > X0 > pi > name > set(product_prod(pi,pi)) > name ) ).
thf(func_def_180,type,
sK113: pi > name > pi > set(product_prod(pi,pi)) > pi ).
thf(func_def_181,type,
sK114: pi > name > pi > set(product_prod(pi,pi)) > late_freeRes ).
thf(func_def_182,type,
sK115: ( late_subject > $o ) > name ).
thf(func_def_183,type,
sK116: ( late_subject > $o ) > name ).
thf(func_def_184,type,
sK117: set(product_prod(pi,pi)) > pi ).
thf(func_def_185,type,
sK118: set(product_prod(pi,pi)) > pi ).
thf(func_def_186,type,
sK119: ( late_freeRes > $o ) > name ).
thf(func_def_187,type,
sK120: ( late_freeRes > $o ) > name ).
thf(func_def_188,type,
sK121: ( late_residual > $o ) > late_freeRes ).
thf(func_def_189,type,
sK122: ( late_residual > $o ) > pi ).
thf(func_def_190,type,
sK123: ( late_residual > $o ) > late_subject ).
thf(func_def_191,type,
sK124: ( late_residual > $o ) > name ).
thf(func_def_192,type,
sK125: ( late_residual > $o ) > pi ).
thf(func_def_193,type,
sK126: late_residual > pi > pi ).
thf(func_def_194,type,
sK127:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_195,type,
sK128: set(product_prod(pi,pi)) > pi ).
thf(func_def_196,type,
sK129: set(product_prod(pi,pi)) > pi ).
thf(func_def_197,type,
sK130: set(product_prod(pi,pi)) > name ).
thf(func_def_198,type,
sK131: set(product_prod(pi,pi)) > pi ).
thf(func_def_199,type,
sK132: set(product_prod(pi,pi)) > pi ).
thf(func_def_200,type,
sK133: pi > pi > set(product_prod(pi,pi)) > late_subject ).
thf(func_def_201,type,
sK134: pi > pi > set(product_prod(pi,pi)) > name ).
thf(func_def_202,type,
sK135: pi > pi > set(product_prod(pi,pi)) > pi ).
thf(func_def_203,type,
sK136: set(product_prod(pi,pi)) > pi > pi > late_freeRes ).
thf(func_def_204,type,
sK137: set(product_prod(pi,pi)) > pi > pi > pi ).
thf(func_def_205,type,
sK138: name > pi > late_residual > pi ).
thf(func_def_206,type,
sK139: name > pi > late_residual > name ).
thf(func_def_207,type,
sK140: name > pi > late_residual > name ).
thf(func_def_208,type,
sK141: name > pi > late_residual > pi ).
thf(func_def_209,type,
sK142: name > pi > late_residual > pi ).
thf(func_def_210,type,
sK143: name > pi > late_residual > late_subject ).
thf(func_def_211,type,
sK144: name > pi > late_residual > name ).
thf(func_def_212,type,
sK145: name > pi > late_residual > pi ).
thf(func_def_213,type,
sK146: name > pi > late_residual > name ).
thf(func_def_214,type,
sK147: late_residual > pi > name > pi ).
thf(func_def_215,type,
sK148: late_residual > pi > name > late_freeRes ).
thf(func_def_216,type,
sK149: late_residual > pi > name > pi ).
thf(func_def_217,type,
sK150: late_residual > pi > name > name ).
thf(func_def_218,type,
sK151:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
thf(func_def_219,type,
sK152:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
thf(func_def_220,type,
sK153:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
thf(func_def_221,type,
sK154:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
thf(func_def_222,type,
sK155:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > name ) ).
thf(func_def_223,type,
sK156:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > X0 ) ).
thf(func_def_224,type,
sK157:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > name ) ).
thf(func_def_225,type,
sK158:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > X0 ) ).
thf(func_def_226,type,
sK159:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > name ) ).
thf(func_def_227,type,
sK160:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > X0 ) ).
thf(func_def_228,type,
sK161:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > name ) ).
thf(func_def_229,type,
sK162:
!>[X0: $tType] : ( ( X0 > late_subject > $o ) > X0 ) ).
thf(func_def_230,type,
sK163:
!>[X0: $tType] : ( ( name > name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_231,type,
sK164:
!>[X0: $tType] : ( ( name > name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_232,type,
sK165:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).
thf(func_def_233,type,
sK166:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).
thf(func_def_234,type,
sK167:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).
thf(func_def_235,type,
sK168:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).
thf(func_def_236,type,
sK169:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > X0 ) ).
thf(func_def_237,type,
sK170:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > name ) ).
thf(func_def_238,type,
sK171:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > name ) ).
thf(func_def_239,type,
sK172:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > X0 ) ).
thf(func_def_240,type,
sK173:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > X0 ) ).
thf(func_def_241,type,
sK174:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > name ) ).
thf(func_def_242,type,
sK175:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > name ) ).
thf(func_def_243,type,
sK176:
!>[X0: $tType] : ( ( X0 > late_freeRes > $o ) > X0 ) ).
thf(func_def_244,type,
sK177: late_residual > pi > name > name > pi ).
thf(func_def_245,type,
sK178: name > name > pi > late_residual > pi ).
thf(func_def_246,type,
sK179: name > name > pi > late_residual > name ).
thf(func_def_247,type,
sK180: name > name > pi > late_residual > name ).
thf(func_def_248,type,
sK181: late_residual > pi > name > name > name ).
thf(func_def_249,type,
sK182: late_residual > pi > name > name > name ).
thf(func_def_250,type,
sK183: late_residual > pi > name > name > pi ).
thf(func_def_251,type,
sK184: late_residual > pi > name > name > name ).
thf(func_def_252,type,
sK185: late_residual > pi > name > name > name ).
thf(func_def_253,type,
sK186: late_residual > pi > name > name > pi ).
thf(func_def_254,type,
sK187: pi > late_freeRes > pi > name > pi ).
thf(func_def_255,type,
sK188: pi > late_freeRes > pi > name > late_freeRes ).
thf(func_def_256,type,
sK189: pi > late_freeRes > pi > name > pi ).
thf(func_def_257,type,
sK190: pi > late_freeRes > pi > name > name ).
thf(func_def_258,type,
sK191:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
thf(func_def_259,type,
sK192:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
thf(func_def_260,type,
sK193:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
thf(func_def_261,type,
sK194:
!>[X0: $tType] : ( ( name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_262,type,
sK195:
!>[X0: $tType] : ( ( name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_263,type,
sK196:
!>[X0: $tType] : ( ( name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_264,type,
sK197:
!>[X0: $tType] : ( ( name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_265,type,
sK198:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X2 ) ).
thf(func_def_266,type,
sK199:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X1 ) ).
thf(func_def_267,type,
sK200:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X0 ) ).
thf(func_def_268,type,
sK201: pi > late_freeRes > set(product_prod(pi,pi)) > pi > pi ).
thf(func_def_269,type,
sK202: ( pi > $o ) > late_freeRes > pi > name > pi ).
thf(func_def_270,type,
sK203: name > pi > late_subject > name > pi > pi ).
thf(func_def_271,type,
sK204: name > pi > late_subject > name > pi > late_subject ).
thf(func_def_272,type,
sK205: name > pi > late_subject > name > pi > name ).
thf(func_def_273,type,
sK206: name > pi > late_subject > name > pi > pi ).
thf(func_def_274,type,
sK207: name > pi > late_subject > name > pi > name ).
thf(func_def_275,type,
sK208: pi > name > late_subject > pi > name > pi ).
thf(func_def_276,type,
sK209: pi > name > late_subject > pi > name > name ).
thf(func_def_277,type,
sK210: pi > name > late_subject > pi > name > name ).
thf(func_def_278,type,
sK211: pi > name > late_subject > pi > name > pi ).
thf(func_def_279,type,
sK212: pi > pi > late_subject > name > pi > pi ).
thf(func_def_280,type,
sK213: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_281,type,
sK214: pi > pi > late_subject > name > pi > name ).
thf(func_def_282,type,
sK215: pi > pi > late_subject > name > pi > pi ).
thf(func_def_283,type,
sK216: pi > pi > late_subject > name > pi > pi ).
thf(func_def_284,type,
sK217: pi > pi > late_subject > name > pi > pi ).
thf(func_def_285,type,
sK218: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_286,type,
sK219: pi > pi > late_subject > name > pi > name ).
thf(func_def_287,type,
sK220: pi > pi > late_subject > name > pi > pi ).
thf(func_def_288,type,
sK221: pi > pi > late_subject > name > pi > pi ).
thf(func_def_289,type,
sK222:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
thf(func_def_290,type,
sK223:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
thf(func_def_291,type,
sK224:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
thf(func_def_292,type,
sK225:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
thf(func_def_293,type,
sK226:
!>[X0: $tType] : ( ( name > name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_294,type,
sK227:
!>[X0: $tType] : ( ( name > name > X0 ) > ( X0 > $o ) > name ) ).
thf(func_def_295,type,
sK228:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X3 ) ).
thf(func_def_296,type,
sK229:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X2 ) ).
thf(func_def_297,type,
sK230:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X1 ) ).
thf(func_def_298,type,
sK231:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X0 ) ).
thf(func_def_299,type,
sK232: pi > name > late_subject > set(product_prod(pi,pi)) > pi > pi ).
thf(func_def_300,type,
sK233: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_301,type,
sK234: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_302,type,
sK235:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
thf(func_def_303,type,
sK236:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
thf(func_def_304,type,
sK237:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
thf(func_def_305,type,
sK238:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
thf(func_def_306,type,
sK239:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
thf(func_def_307,type,
sK240:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X4 ) ).
thf(func_def_308,type,
sK241:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X3 ) ).
thf(func_def_309,type,
sK242:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X2 ) ).
thf(func_def_310,type,
sK243:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X1 ) ).
thf(func_def_311,type,
sK244:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X0 ) ).
thf(func_def_312,type,
sK245:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
thf(func_def_313,type,
sK246:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
thf(func_def_314,type,
sK247:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
thf(func_def_315,type,
sK248:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
thf(func_def_316,type,
sK249:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
thf(func_def_317,type,
sK250:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
thf(func_def_318,type,
sK251:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X5 ) ).
thf(func_def_319,type,
sK252:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X4 ) ).
thf(func_def_320,type,
sK253:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X3 ) ).
thf(func_def_321,type,
sK254:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X2 ) ).
thf(func_def_322,type,
sK255:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X1 ) ).
thf(func_def_323,type,
sK256:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X0 ) ).
thf(func_def_324,type,
sK257:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).
thf(func_def_325,type,
sK258:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).
thf(func_def_326,type,
sK259:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).
thf(func_def_327,type,
sK260:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).
thf(func_def_328,type,
sK261:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).
thf(func_def_329,type,
sK262:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).
thf(func_def_330,type,
sK263:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).
thf(func_def_331,type,
sK264:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X6 ) ).
thf(func_def_332,type,
sK265:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X5 ) ).
thf(func_def_333,type,
sK266:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X4 ) ).
thf(func_def_334,type,
sK267:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X3 ) ).
thf(func_def_335,type,
sK268:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X2 ) ).
thf(func_def_336,type,
sK269:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X1 ) ).
thf(func_def_337,type,
sK270:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X0 ) ).
thf(func_def_339,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(f20666,plain,
$false,
inference(trivial_inequality_removal,[],[f20665]) ).
thf(f20665,plain,
$true = $false,
inference(backward_demodulation,[],[f1598,f20663]) ).
thf(f20663,plain,
vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) = $false,
inference(trivial_inequality_removal,[],[f20656]) ).
thf(f20656,plain,
( ( $true != $true )
| ( vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) = $false ) ),
inference(superposition,[],[f20432,f1911]) ).
thf(f1911,plain,
$true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y))))),
inference(forward_demodulation,[],[f1596,f1196]) ).
thf(f1196,plain,
alpha = late_TauR,
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
alpha = late_TauR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cClose2_Ohyps_I14_J) ).
thf(f1596,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y))))) = $true,
inference(cnf_transformation,[],[f638]) ).
thf(f638,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y))))) = $true,
inference(fool_elimination,[],[f637]) ).
thf(f637,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y))))),
inference(rectify,[],[f11]) ).
thf(f11,axiom,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_092_060close_062) ).
thf(f20432,plain,
! [X0: pi] :
( ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),X0)) )
| ( $false = vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) ) ),
inference(trivial_inequality_removal,[],[f20423]) ).
thf(f20423,plain,
! [X0: pi] :
( ( $true != $true )
| ( $false = vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),X0)) ) ),
inference(superposition,[],[f1979,f1416]) ).
thf(f1416,plain,
! [X2: pi,X3: pi,X0: pi,X1: late_freeRes] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) ) ),
inference(cnf_transformation,[],[f833]) ).
thf(f833,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) ) ),
inference(ennf_transformation,[],[f452]) ).
thf(f452,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) )
=> ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) ) ),
inference(fool_elimination,[],[f451]) ).
thf(f451,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2))
=> vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) ),
inference(rectify,[],[f23]) ).
thf(f23,axiom,
! [X11: pi,X13: late_freeRes,X14: pi,X12: pi] :
( vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X11),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X13),X14))
=> vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X11),X12)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X13),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X14),X12))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_Par1F) ).
thf(f1979,plain,
! [X0: pi] :
( ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),X0)) )
| ( $false = vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) ) ),
inference(trivial_inequality_removal,[],[f1978]) ).
thf(f1978,plain,
! [X0: pi] :
( ( $true != $true )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),X0)) )
| ( $false = vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) ) ),
inference(superposition,[],[f1882,f270]) ).
thf(f270,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f1882,plain,
! [X0: pi] :
( ( $true != vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),X0)) ) ),
inference(backward_demodulation,[],[f1192,f1196]) ).
thf(f1192,plain,
! [X0: pi] :
( ( $true != vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X0)) ) ),
inference(cnf_transformation,[],[f752]) ).
thf(f752,plain,
! [X0: pi] :
( ( $true != vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X0)) ) ),
inference(ennf_transformation,[],[f272]) ).
thf(f272,plain,
~ ? [X0: pi] :
( ( $true = vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) )
& ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X0)) ) ),
inference(fool_elimination,[],[f271]) ).
thf(f271,plain,
~ ? [X0: pi] :
( vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X0),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel)
& vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X0)) ),
inference(rectify,[],[f268]) ).
thf(f268,negated_conjecture,
~ ? [X97: pi] :
( vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X97),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel)
& vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X97)) ),
inference(negated_conjecture,[],[f267]) ).
thf(f267,conjecture,
? [X97: pi] :
( vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),X97),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel)
& vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f1598,plain,
vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) = $true,
inference(cnf_transformation,[],[f642]) ).
thf(f642,plain,
vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel) = $true,
inference(fool_elimination,[],[f641]) ).
thf(f641,plain,
vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
vAPP(set(product_prod(pi,pi)),$o,vAPP(product_prod(pi,pi),sTfun(set(product_prod(pi,pi)),$o),member(product_prod(pi,pi)),vAPP(pi,product_prod(pi,pi),vAPP(pi,sTfun(pi,product_prod(pi,pi)),product_Pair(pi,pi),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),y)))),r)),vAPP(pi,pi,vAPP(name,sTfun(pi,pi),res,y),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,q2),r)),x),y))))),rel),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ITP187^2 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 16:48:22 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (22925)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (22928)WARNING: value z3 for option sas not known
% 0.11/0.35 % (22926)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (22932)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 % (22931)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 % (22927)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (22928)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (22929)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (22930)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.40 % (22932)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.47 % Exception at run slice level
% 0.16/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.49 % (22934)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.16/0.54 % (22934)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.63/0.57 % Exception at run slice level
% 1.63/0.57 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.63/0.58 % (22935)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 2.06/0.63 % (22935)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.11/1.79 % Exception at run slice level
% 10.11/1.79 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 10.11/1.80 % (22944)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 10.44/1.84 % Exception at run slice level
% 10.44/1.84 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 10.44/1.86 % (22945)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 21.48/3.42 % (22944)First to succeed.
% 21.48/3.42 % (22944)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22925"
% 21.48/3.43 % (22944)Refutation found. Thanks to Tanya!
% 21.48/3.43 % SZS status Theorem for theBenchmark
% 21.48/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 21.48/3.43 % (22944)------------------------------
% 21.48/3.43 % (22944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.48/3.43 % (22944)Termination reason: Refutation
% 21.48/3.43
% 21.48/3.43 % (22944)Memory used [KB]: 7993
% 21.48/3.43 % (22944)Time elapsed: 1.618 s
% 21.48/3.43 % (22944)Instructions burned: 3589 (million)
% 21.48/3.43 % (22925)Success in time 3.102 s
%------------------------------------------------------------------------------