TSTP Solution File: ITP066^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP066^1 : 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 : n014.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 22:50:13 EDT 2024
% Result : Theorem 103.29s 15.21s
% Output : Refutation 103.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 455
% Syntax : Number of formulae : 469 ( 19 unt; 450 typ; 0 def)
% Number of atoms : 217 ( 18 equ; 0 cnn)
% Maximal formula atoms : 1 ( 11 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 33 ( 32 usr)
% Number of type conns : 861 ( 860 >; 1 *; 0 +; 0 <<)
% Number of symbols : 389 ( 387 usr; 19 con; 0-6 aty)
% Number of variables : 41 ( 0 ^ 27 !; 0 ?; 41 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
multiset_multiset_a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
multis782275565iset_a: $tType ).
thf(type_def_8,type,
multis2082063201Tree_a: $tType ).
thf(type_def_9,type,
multis599418605od_a_a: $tType ).
thf(type_def_10,type,
multiset_a: $tType ).
thf(type_def_11,type,
tree_a: $tType ).
thf(type_def_12,type,
list_a: $tType ).
thf(type_def_13,type,
produc143150363Tree_a: $tType ).
thf(type_def_14,type,
a: $tType ).
thf(type_def_15,type,
product_prod_a_a: $tType ).
thf(type_def_16,type,
set_a: $tType ).
thf(type_def_17,type,
produc1127127335iset_a: $tType ).
thf(type_def_18,type,
set_Pr158363655iset_a: $tType ).
thf(type_def_19,type,
set_Pr720484615iset_a: $tType ).
thf(type_def_20,type,
set_Pr146455751iset_a: $tType ).
thf(type_def_21,type,
set_Pr1066112583iset_a: $tType ).
thf(type_def_22,type,
set_Pr220561863Tree_a: $tType ).
thf(type_def_23,type,
set_Pr295926343Tree_a: $tType ).
thf(type_def_24,type,
set_Pr1948701895od_a_a: $tType ).
thf(type_def_25,type,
set_Pr1821581383od_a_a: $tType ).
thf(type_def_26,type,
set_Product_prod_a_a: $tType ).
thf(type_def_27,type,
set_multiset_a: $tType ).
thf(type_def_28,type,
set_Pr1070816379Tree_a: $tType ).
thf(type_def_29,type,
set_Pr921883667ee_a_a: $tType ).
thf(type_def_30,type,
produc981471411ee_a_a: $tType ).
thf(type_def_31,type,
produc1293660967iset_a: $tType ).
thf(type_def_32,type,
produc741964647iset_a: $tType ).
thf(type_def_33,type,
produc1136638567Tree_a: $tType ).
thf(type_def_34,type,
produc2061001575od_a_a: $tType ).
thf(type_def_35,type,
produc558600423iset_a: $tType ).
thf(type_def_36,type,
produc1254371559Tree_a: $tType ).
thf(type_def_37,type,
produc1572603623od_a_a: $tType ).
thf(func_def_0,type,
set_Pr1066112583iset_a: $tType ).
thf(func_def_1,type,
produc741964647iset_a: $tType ).
thf(func_def_2,type,
set_Pr146455751iset_a: $tType ).
thf(func_def_3,type,
set_Pr295926343Tree_a: $tType ).
thf(func_def_4,type,
produc558600423iset_a: $tType ).
thf(func_def_5,type,
produc1136638567Tree_a: $tType ).
thf(func_def_6,type,
set_Pr1821581383od_a_a: $tType ).
thf(func_def_7,type,
set_Pr220561863Tree_a: $tType ).
thf(func_def_8,type,
produc2061001575od_a_a: $tType ).
thf(func_def_9,type,
set_Pr720484615iset_a: $tType ).
thf(func_def_10,type,
produc1254371559Tree_a: $tType ).
thf(func_def_11,type,
produc1293660967iset_a: $tType ).
thf(func_def_12,type,
set_Pr1948701895od_a_a: $tType ).
thf(func_def_13,type,
multis782275565iset_a: $tType ).
thf(func_def_14,type,
produc1572603623od_a_a: $tType ).
thf(func_def_15,type,
set_Pr158363655iset_a: $tType ).
thf(func_def_16,type,
produc1127127335iset_a: $tType ).
thf(func_def_17,type,
multis2082063201Tree_a: $tType ).
thf(func_def_18,type,
set_Pr1070816379Tree_a: $tType ).
thf(func_def_19,type,
set_Pr921883667ee_a_a: $tType ).
thf(func_def_20,type,
multis599418605od_a_a: $tType ).
thf(func_def_21,type,
produc143150363Tree_a: $tType ).
thf(func_def_22,type,
produc981471411ee_a_a: $tType ).
thf(func_def_23,type,
set_Product_prod_a_a: $tType ).
thf(func_def_24,type,
multiset_multiset_a: $tType ).
thf(func_def_25,type,
set_multiset_a: $tType ).
thf(func_def_26,type,
product_prod_a_a: $tType ).
thf(func_def_27,type,
multiset_a: $tType ).
thf(func_def_28,type,
list_a: $tType ).
thf(func_def_29,type,
tree_a: $tType ).
thf(func_def_30,type,
set_a: $tType ).
thf(func_def_31,type,
a: $tType ).
thf(func_def_32,type,
plus_p1957546689iset_a: multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_33,type,
plus_p1919096612iset_a: multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_34,type,
plus_p1065544216Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_35,type,
plus_p404985124od_a_a: multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_36,type,
plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
thf(func_def_37,type,
zero_z1580389697iset_a: multiset_multiset_a ).
thf(func_def_38,type,
zero_z1941791140iset_a: multis782275565iset_a ).
thf(func_def_39,type,
zero_z2144236696Tree_a: multis2082063201Tree_a ).
thf(func_def_40,type,
zero_z160849828od_a_a: multis599418605od_a_a ).
thf(func_def_41,type,
zero_zero_multiset_a: multiset_a ).
thf(func_def_42,type,
nO_MAT1617603563iset_a: multiset_a > multiset_a > $o ).
thf(func_def_43,type,
heapIm970322378pify_a: tree_a > tree_a ).
thf(func_def_44,type,
heapIm229596386mpty_a: tree_a > $o ).
thf(func_def_45,type,
heapIm1057938560list_a: list_a > tree_a ).
thf(func_def_46,type,
heapIm915766629_max_a: tree_a > produc143150363Tree_a ).
thf(func_def_47,type,
heapIm1140443833left_a: tree_a > tree_a ).
thf(func_def_48,type,
heapIm1637418125tree_a: list_a > tree_a ).
thf(func_def_49,type,
heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).
thf(func_def_50,type,
heapIm1257206334ight_a: tree_a > tree_a ).
thf(func_def_51,type,
heapIm1091024090Down_a: tree_a > tree_a ).
thf(func_def_52,type,
heap_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).
thf(func_def_53,type,
heap_a_a: a > ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).
thf(func_def_54,type,
heap_axioms_Tree_a_a: ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).
thf(func_def_55,type,
heap_axioms_a_a: ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).
thf(func_def_56,type,
e_a: tree_a ).
thf(func_def_57,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(func_def_58,type,
in_tree_a: a > tree_a > $o ).
thf(func_def_59,type,
is_heap_a: tree_a > $o ).
thf(func_def_60,type,
multiset_a2: tree_a > multiset_a ).
thf(func_def_61,type,
val_a: tree_a > a ).
thf(func_def_62,type,
if_Pro1144176865Tree_a: $o > produc143150363Tree_a > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_63,type,
lattic146396397_Max_a: set_a > a ).
thf(func_def_64,type,
add_mset_multiset_a: multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_65,type,
add_ms1353365509iset_a: produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_66,type,
add_ms205941497Tree_a: produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_67,type,
add_ms1725977093od_a_a: product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_68,type,
add_mset_a: a > multiset_a > multiset_a ).
thf(func_def_69,type,
comm_m315775925iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).
thf(func_def_70,type,
is_empty_a: multiset_a > $o ).
thf(func_def_71,type,
mult1_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).
thf(func_def_72,type,
mult1_599785114iset_a: set_Pr146455751iset_a > set_Pr1066112583iset_a ).
thf(func_def_73,type,
mult1_470979598Tree_a: set_Pr220561863Tree_a > set_Pr295926343Tree_a ).
thf(func_def_74,type,
mult1_1719650714od_a_a: set_Pr1948701895od_a_a > set_Pr1821581383od_a_a ).
thf(func_def_75,type,
mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(func_def_76,type,
mult_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).
thf(func_def_77,type,
mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(func_def_78,type,
set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).
thf(func_def_79,type,
set_ms1768116836iset_a: multis782275565iset_a > set_Pr158363655iset_a ).
thf(func_def_80,type,
set_ms1129970904Tree_a: multis2082063201Tree_a > set_Pr1070816379Tree_a ).
thf(func_def_81,type,
set_ms1818337124od_a_a: multis599418605od_a_a > set_Product_prod_a_a ).
thf(func_def_82,type,
set_mset_a: multiset_a > set_a ).
thf(func_def_83,type,
ord_le1748873858_a_a_o: ( tree_a > a > $o ) > ( tree_a > a > $o ) > $o ).
thf(func_def_84,type,
ord_le51495822et_a_o: ( multiset_a > multiset_a > $o ) > ( multiset_a > multiset_a > $o ) > $o ).
thf(func_def_85,type,
ord_le1327026842ee_a_o: ( a > tree_a > $o ) > ( a > tree_a > $o ) > $o ).
thf(func_def_86,type,
ord_less_eq_a_a_o: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_87,type,
ord_le1199012836iset_a: multiset_a > multiset_a > $o ).
thf(func_def_88,type,
ord_le864074675ee_a_a: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > $o ).
thf(func_def_89,type,
ord_le1978107815iset_a: set_Pr158363655iset_a > set_Pr158363655iset_a > $o ).
thf(func_def_90,type,
ord_le1013007387Tree_a: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > $o ).
thf(func_def_91,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_92,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_93,type,
ord_less_eq_a: a > a > $o ).
thf(func_def_94,type,
produc649172771ee_a_a: tree_a > a > produc981471411ee_a_a ).
thf(func_def_95,type,
produc1444952343iset_a: multiset_multiset_a > multiset_multiset_a > produc1293660967iset_a ).
thf(func_def_96,type,
produc1226985431iset_a: multis782275565iset_a > multis782275565iset_a > produc741964647iset_a ).
thf(func_def_97,type,
produc1608222167Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > produc1136638567Tree_a ).
thf(func_def_98,type,
produc1859144151od_a_a: multis599418605od_a_a > multis599418605od_a_a > produc2061001575od_a_a ).
thf(func_def_99,type,
produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).
thf(func_def_100,type,
produc1898392407iset_a: produc1127127335iset_a > produc1127127335iset_a > produc558600423iset_a ).
thf(func_def_101,type,
produc1002111575Tree_a: produc143150363Tree_a > produc143150363Tree_a > produc1254371559Tree_a ).
thf(func_def_102,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_103,type,
produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).
thf(func_def_104,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_105,type,
product_fst_Tree_a_a: produc981471411ee_a_a > tree_a ).
thf(func_def_106,type,
produc653373187iset_a: produc1127127335iset_a > multiset_a ).
thf(func_def_107,type,
product_fst_a_Tree_a: produc143150363Tree_a > a ).
thf(func_def_108,type,
product_fst_a_a: product_prod_a_a > a ).
thf(func_def_109,type,
product_snd_Tree_a_a: produc981471411ee_a_a > a ).
thf(func_def_110,type,
produc148952133iset_a: produc1127127335iset_a > multiset_a ).
thf(func_def_111,type,
product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).
thf(func_def_112,type,
product_snd_a_a: product_prod_a_a > a ).
thf(func_def_113,type,
produc1478296771ee_a_a: produc981471411ee_a_a > produc143150363Tree_a ).
thf(func_def_114,type,
produc506430135iset_a: produc1127127335iset_a > produc1127127335iset_a ).
thf(func_def_115,type,
produc1515207979Tree_a: produc143150363Tree_a > produc981471411ee_a_a ).
thf(func_def_116,type,
product_swap_a_a: product_prod_a_a > product_prod_a_a ).
thf(func_def_117,type,
irrefl_a: set_Product_prod_a_a > $o ).
thf(func_def_118,type,
trans_multiset_a: set_Pr158363655iset_a > $o ).
thf(func_def_119,type,
trans_a: set_Product_prod_a_a > $o ).
thf(func_def_120,type,
collection_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > $o ).
thf(func_def_121,type,
collec1104713362iset_a: ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a ).
thf(func_def_122,type,
collec486369286Tree_a: ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a ).
thf(func_def_123,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_124,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_125,type,
member_multiset_a: multiset_a > set_multiset_a > $o ).
thf(func_def_126,type,
member1092636252ee_a_a: produc981471411ee_a_a > set_Pr921883667ee_a_a > $o ).
thf(func_def_127,type,
member104214352iset_a: produc1293660967iset_a > set_Pr720484615iset_a > $o ).
thf(func_def_128,type,
member219455632iset_a: produc741964647iset_a > set_Pr1066112583iset_a > $o ).
thf(func_def_129,type,
member1298282640Tree_a: produc1136638567Tree_a > set_Pr295926343Tree_a > $o ).
thf(func_def_130,type,
member1349055120od_a_a: produc2061001575od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_131,type,
member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).
thf(func_def_132,type,
member567864080iset_a: produc558600423iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_133,type,
member146662416Tree_a: produc1254371559Tree_a > set_Pr220561863Tree_a > $o ).
thf(func_def_134,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_135,type,
member254315204Tree_a: produc143150363Tree_a > set_Pr1070816379Tree_a > $o ).
thf(func_def_136,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_137,type,
member_a: a > set_a > $o ).
thf(func_def_138,type,
l1: tree_a ).
thf(func_def_139,type,
l2: tree_a ).
thf(func_def_140,type,
r1: tree_a ).
thf(func_def_141,type,
r2: tree_a ).
thf(func_def_142,type,
t: tree_a ).
thf(func_def_143,type,
t2: tree_a ).
thf(func_def_144,type,
t_a2: tree_a ).
thf(func_def_145,type,
v1: a ).
thf(func_def_146,type,
v2: a ).
thf(func_def_147,type,
v: a ).
thf(func_def_148,type,
v_a: a ).
thf(func_def_149,type,
v3: a ).
thf(func_def_153,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_154,type,
vAND: $o > $o > $o ).
thf(func_def_155,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_156,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_157,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_158,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_159,type,
vIMP: $o > $o > $o ).
thf(func_def_160,type,
vNOT: $o > $o ).
thf(func_def_161,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_162,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_163,type,
vOR: $o > $o > $o ).
thf(func_def_164,type,
sP0: ( tree_a > $o ) > $o ).
thf(func_def_165,type,
sP1: ( tree_a > $o ) > $o ).
thf(func_def_166,type,
sP2: ( tree_a > $o ) > $o ).
thf(func_def_167,type,
sP3: multiset_a > multiset_a > multiset_a > set_Product_prod_a_a > $o ).
thf(func_def_168,type,
sP4: multiset_multiset_a > multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_169,type,
sP5: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > $o ).
thf(func_def_170,type,
sP6: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > $o ).
thf(func_def_171,type,
sP7: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > $o ).
thf(func_def_172,type,
sP8: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > $o ).
thf(func_def_173,type,
sK9: multis2082063201Tree_a > produc143150363Tree_a ).
thf(func_def_174,type,
sK10: multis599418605od_a_a > product_prod_a_a ).
thf(func_def_175,type,
sK11: multis782275565iset_a > produc1127127335iset_a ).
thf(func_def_176,type,
sK12: multiset_multiset_a > multiset_a ).
thf(func_def_177,type,
sK13: multiset_a > a ).
thf(func_def_178,type,
sK14: multiset_a > a ).
thf(func_def_179,type,
sK15: multiset_a > multiset_a ).
thf(func_def_180,type,
sK16: multiset_a > multiset_a ).
thf(func_def_181,type,
sK17: multiset_a > a ).
thf(func_def_182,type,
sK18: tree_a > a ).
thf(func_def_183,type,
sK19: tree_a > a ).
thf(func_def_184,type,
sK20: tree_a > tree_a ).
thf(func_def_185,type,
sK21: tree_a > tree_a ).
thf(func_def_186,type,
sK22: tree_a > a ).
thf(func_def_187,type,
sK23: tree_a > tree_a ).
thf(func_def_188,type,
sK24: tree_a > tree_a ).
thf(func_def_189,type,
sK25: tree_a > a ).
thf(func_def_190,type,
sK26: tree_a > a ).
thf(func_def_191,type,
sK27: tree_a > tree_a ).
thf(func_def_192,type,
sK28: tree_a > tree_a ).
thf(func_def_193,type,
sK29: tree_a > a ).
thf(func_def_194,type,
sK30: tree_a > a ).
thf(func_def_195,type,
sK31: tree_a > tree_a ).
thf(func_def_196,type,
sK32: tree_a > tree_a ).
thf(func_def_197,type,
sK33: tree_a > a ).
thf(func_def_198,type,
sK34: tree_a > a ).
thf(func_def_199,type,
sK35: tree_a > a ).
thf(func_def_200,type,
sK36: tree_a > tree_a ).
thf(func_def_201,type,
sK37: tree_a > tree_a ).
thf(func_def_202,type,
sK38: tree_a > a ).
thf(func_def_203,type,
sK39: tree_a > tree_a ).
thf(func_def_204,type,
sK40: tree_a > tree_a ).
thf(func_def_205,type,
sK41: tree_a > a ).
thf(func_def_206,type,
sK42: tree_a > a ).
thf(func_def_207,type,
sK43: tree_a > tree_a ).
thf(func_def_208,type,
sK44: tree_a > tree_a ).
thf(func_def_209,type,
sK45: tree_a > a ).
thf(func_def_210,type,
sK46: tree_a > a ).
thf(func_def_211,type,
sK47: tree_a > tree_a ).
thf(func_def_212,type,
sK48: tree_a > tree_a ).
thf(func_def_213,type,
sK49: tree_a > a ).
thf(func_def_214,type,
sK50: tree_a > a ).
thf(func_def_215,type,
sK51: tree_a > tree_a ).
thf(func_def_216,type,
sK52: tree_a > tree_a ).
thf(func_def_217,type,
sK53: tree_a > a ).
thf(func_def_218,type,
sK54: tree_a > a ).
thf(func_def_219,type,
sK55: tree_a > tree_a ).
thf(func_def_220,type,
sK56: tree_a > tree_a ).
thf(func_def_221,type,
sK57: tree_a > a ).
thf(func_def_222,type,
sK58: tree_a > tree_a ).
thf(func_def_223,type,
sK59: tree_a > tree_a ).
thf(func_def_224,type,
sK60: tree_a > a ).
thf(func_def_225,type,
sK61: tree_a > a ).
thf(func_def_226,type,
sK62: tree_a > tree_a ).
thf(func_def_227,type,
sK63: tree_a > tree_a ).
thf(func_def_228,type,
sK64: tree_a > a ).
thf(func_def_229,type,
sK65: tree_a > tree_a ).
thf(func_def_230,type,
sK66: tree_a > tree_a ).
thf(func_def_231,type,
sK67: tree_a > a ).
thf(func_def_232,type,
sK68: tree_a > a ).
thf(func_def_233,type,
sK69: tree_a > tree_a ).
thf(func_def_234,type,
sK70: tree_a > tree_a ).
thf(func_def_235,type,
sK71: tree_a > a ).
thf(func_def_236,type,
sK72: tree_a > a ).
thf(func_def_237,type,
sK73: tree_a > tree_a ).
thf(func_def_238,type,
sK74: tree_a > tree_a ).
thf(func_def_239,type,
sK75: tree_a > a ).
thf(func_def_240,type,
sK76: set_Product_prod_a_a > a ).
thf(func_def_241,type,
sK77: set_Product_prod_a_a > a ).
thf(func_def_242,type,
sK78: set_Product_prod_a_a > a ).
thf(func_def_243,type,
sK79: produc981471411ee_a_a > tree_a ).
thf(func_def_244,type,
sK80: produc981471411ee_a_a > a ).
thf(func_def_245,type,
sK81: product_prod_a_a > a ).
thf(func_def_246,type,
sK82: product_prod_a_a > a ).
thf(func_def_247,type,
sK83: produc1127127335iset_a > multiset_a ).
thf(func_def_248,type,
sK84: produc1127127335iset_a > multiset_a ).
thf(func_def_249,type,
sK85: produc143150363Tree_a > a ).
thf(func_def_250,type,
sK86: produc143150363Tree_a > tree_a ).
thf(func_def_251,type,
sK87: produc981471411ee_a_a > tree_a ).
thf(func_def_252,type,
sK88: produc981471411ee_a_a > a ).
thf(func_def_253,type,
sK89: product_prod_a_a > a ).
thf(func_def_254,type,
sK90: product_prod_a_a > a ).
thf(func_def_255,type,
sK91: produc1127127335iset_a > multiset_a ).
thf(func_def_256,type,
sK92: produc1127127335iset_a > multiset_a ).
thf(func_def_257,type,
sK93: produc143150363Tree_a > a ).
thf(func_def_258,type,
sK94: produc143150363Tree_a > tree_a ).
thf(func_def_259,type,
sK95: ( tree_a > $o ) > a ).
thf(func_def_260,type,
sK96: ( tree_a > $o ) > a ).
thf(func_def_261,type,
sK97: ( tree_a > $o ) > tree_a ).
thf(func_def_262,type,
sK98: ( tree_a > $o ) > tree_a ).
thf(func_def_263,type,
sK99: ( tree_a > $o ) > a ).
thf(func_def_264,type,
sK100: ( tree_a > $o ) > tree_a ).
thf(func_def_265,type,
sK101: ( tree_a > $o ) > tree_a ).
thf(func_def_266,type,
sK102: ( tree_a > $o ) > a ).
thf(func_def_267,type,
sK103: ( tree_a > $o ) > a ).
thf(func_def_268,type,
sK104: ( tree_a > $o ) > tree_a ).
thf(func_def_269,type,
sK105: ( tree_a > $o ) > tree_a ).
thf(func_def_270,type,
sK106: ( tree_a > $o ) > a ).
thf(func_def_271,type,
sK107: ( tree_a > $o ) > a ).
thf(func_def_272,type,
sK108: ( tree_a > $o ) > tree_a ).
thf(func_def_273,type,
sK109: ( tree_a > $o ) > tree_a ).
thf(func_def_274,type,
sK110: ( tree_a > $o ) > a ).
thf(func_def_275,type,
sK111: ( tree_a > $o ) > a ).
thf(func_def_276,type,
sK112: ( tree_a > $o ) > tree_a ).
thf(func_def_277,type,
sK113: ( tree_a > $o ) > tree_a ).
thf(func_def_278,type,
sK114: ( tree_a > $o ) > a ).
thf(func_def_279,type,
sK115: ( tree_a > $o ) > tree_a ).
thf(func_def_280,type,
sK116: ( tree_a > $o ) > tree_a ).
thf(func_def_281,type,
sK117: ( tree_a > $o ) > a ).
thf(func_def_282,type,
sK118: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > tree_a ).
thf(func_def_283,type,
sK119: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > a ).
thf(func_def_284,type,
sK120: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > a ).
thf(func_def_285,type,
sK121: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > tree_a ).
thf(func_def_286,type,
sK122: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_287,type,
sK123: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_288,type,
sK124: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).
thf(func_def_289,type,
sK125: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).
thf(func_def_290,type,
sK126: ( produc981471411ee_a_a > $o ) > tree_a ).
thf(func_def_291,type,
sK127: ( produc981471411ee_a_a > $o ) > a ).
thf(func_def_292,type,
sK128: ( produc981471411ee_a_a > $o ) > tree_a ).
thf(func_def_293,type,
sK129: ( produc981471411ee_a_a > $o ) > a ).
thf(func_def_294,type,
sK130: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_295,type,
sK131: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_296,type,
sK132: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_297,type,
sK133: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_298,type,
sK134: ( product_prod_a_a > $o ) > a ).
thf(func_def_299,type,
sK135: ( product_prod_a_a > $o ) > a ).
thf(func_def_300,type,
sK136: ( product_prod_a_a > $o ) > a ).
thf(func_def_301,type,
sK137: ( product_prod_a_a > $o ) > a ).
thf(func_def_302,type,
sK138: ( produc143150363Tree_a > $o ) > a ).
thf(func_def_303,type,
sK139: ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_304,type,
sK140: ( produc143150363Tree_a > $o ) > a ).
thf(func_def_305,type,
sK141: ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_306,type,
sK142: ( multiset_a > $o ) > a ).
thf(func_def_307,type,
sK143: ( multiset_a > $o ) > multiset_a ).
thf(func_def_308,type,
sK144: ( multiset_a > $o ) > a ).
thf(func_def_309,type,
sK145: ( multiset_a > $o ) > multiset_a ).
thf(func_def_310,type,
sK146: ( multiset_a > $o ) > a ).
thf(func_def_311,type,
sK147: ( multiset_a > $o ) > multiset_a ).
thf(func_def_312,type,
sK148: ( tree_a > $o ) > a ).
thf(func_def_313,type,
sK149: ( tree_a > $o ) > tree_a ).
thf(func_def_314,type,
sK150: ( tree_a > $o ) > tree_a ).
thf(func_def_315,type,
sK151: multiset_multiset_a > multiset_a > multiset_multiset_a ).
thf(func_def_316,type,
sK152: multiset_multiset_a > multiset_a > multiset_multiset_a ).
thf(func_def_317,type,
sK153: multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a ).
thf(func_def_318,type,
sK154: multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a ).
thf(func_def_319,type,
sK155: multiset_a > a > multiset_a ).
thf(func_def_320,type,
sK156: multiset_a > a > multiset_a ).
thf(func_def_321,type,
sK157: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_322,type,
sK158: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_323,type,
sK159: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a ).
thf(func_def_324,type,
sK160: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a ).
thf(func_def_325,type,
sK161: ( tree_a > a > $o ) > a ).
thf(func_def_326,type,
sK162: ( tree_a > a > $o ) > tree_a ).
thf(func_def_327,type,
sK163: ( a > tree_a > $o ) > tree_a ).
thf(func_def_328,type,
sK164: ( a > tree_a > $o ) > a ).
thf(func_def_329,type,
sK165: multiset_a > multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_330,type,
sK166: a > multiset_a > set_Product_prod_a_a > a ).
thf(func_def_331,type,
sK167: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_332,type,
sK168: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_333,type,
sK169: multiset_multiset_a > multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).
thf(func_def_334,type,
sK170: multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_a ).
thf(func_def_335,type,
sK171: multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).
thf(func_def_336,type,
sK172: multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).
thf(func_def_337,type,
sK173: ( multiset_a > multiset_a > $o ) > a ).
thf(func_def_338,type,
sK174: ( multiset_a > multiset_a > $o ) > multiset_a ).
thf(func_def_339,type,
sK175: ( multiset_a > multiset_a > $o ) > multiset_a ).
thf(func_def_340,type,
sK176: ( multiset_a > multiset_a > $o ) > a ).
thf(func_def_341,type,
sK177: ( multiset_a > multiset_a > $o ) > multiset_a ).
thf(func_def_342,type,
sK178: ( multiset_a > multiset_a > $o ) > multiset_a ).
thf(func_def_343,type,
sK179: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > produc1127127335iset_a ).
thf(func_def_344,type,
sK180: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_345,type,
sK181: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_346,type,
sK182: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a ).
thf(func_def_347,type,
sK183: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_348,type,
sK184: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_349,type,
sK185: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > produc143150363Tree_a ).
thf(func_def_350,type,
sK186: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_351,type,
sK187: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_352,type,
sK188: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_a ).
thf(func_def_353,type,
sK189: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_354,type,
sK190: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_355,type,
sK191: set_Product_prod_a_a > multiset_a > multiset_a > a ).
thf(func_def_356,type,
sK192: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).
thf(func_def_357,type,
sK193: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).
thf(func_def_358,type,
sK194: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_a ).
thf(func_def_359,type,
sK195: set_Product_prod_a_a > multiset_a > multiset_a > a ).
thf(func_def_360,type,
sK196: a > tree_a > tree_a ).
thf(func_def_361,type,
sK197: a > tree_a > a ).
thf(func_def_362,type,
sK198: a > tree_a > tree_a ).
thf(func_def_363,type,
sK199: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a > produc143150363Tree_a ).
thf(func_def_364,type,
sK200: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_365,type,
sK201: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_366,type,
sK202: ( produc1127127335iset_a > $o ) > ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a > produc1127127335iset_a ).
thf(func_def_367,type,
sK203: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_368,type,
sK204: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).
thf(func_def_369,type,
sK205: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_370,type,
sK206: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_371,type,
sK207: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_372,type,
sK208: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).
thf(func_def_373,type,
sK209: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_374,type,
sK210: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_multiset_a > multiset_multiset_a ).
thf(func_def_375,type,
sK211: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).
thf(func_def_376,type,
sK212: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).
thf(func_def_377,type,
sK213: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).
thf(func_def_378,type,
sK214: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).
thf(func_def_379,type,
sK215: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).
thf(func_def_380,type,
sK216: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).
thf(func_def_381,type,
sK217: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).
thf(func_def_382,type,
sK218: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).
thf(func_def_383,type,
sK219: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).
thf(func_def_384,type,
sK220: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).
thf(func_def_385,type,
sK221: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).
thf(func_def_386,type,
sK222: ( a > $o ) > ( a > tree_a ) > a ).
thf(func_def_387,type,
sK223: ( list_a > a ) > ( a > tree_a ) > list_a ).
thf(func_def_388,type,
sK224: ( a > tree_a ) > ( a > multiset_a ) > a ).
thf(func_def_389,type,
sK225: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > tree_a ).
thf(func_def_390,type,
sK226: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > a ).
thf(func_def_391,type,
sK227: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > tree_a ).
thf(func_def_392,type,
sK228: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_393,type,
sK229: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).
thf(func_def_394,type,
sK230: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_395,type,
sK231: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_396,type,
sK232: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > a ).
thf(func_def_397,type,
sK233: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_398,type,
sK234: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_399,type,
sK235: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).
thf(func_def_400,type,
sK236: ( tree_a > tree_a ) > ( tree_a > multiset_a ) > tree_a ).
thf(func_def_401,type,
sK237: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > produc1127127335iset_a ).
thf(func_def_402,type,
sK238: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_403,type,
sK239: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_404,type,
sK240: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_a ).
thf(func_def_405,type,
sK241: set_Product_prod_a_a > multiset_a > a > a ).
thf(func_def_407,type,
sK243: multiset_a > multiset_a > a > a > multiset_a ).
thf(func_def_408,type,
sK244: set_Pr158363655iset_a > ( produc1127127335iset_a > $o ) > produc1127127335iset_a ).
thf(func_def_409,type,
sK245: set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_410,type,
sK246: set_a > ( a > $o ) > a ).
thf(func_def_411,type,
sK247: set_Pr1070816379Tree_a > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_412,type,
sK248: produc143150363Tree_a > tree_a > a ).
thf(func_def_413,type,
sK249: produc143150363Tree_a > a > tree_a ).
thf(func_def_414,type,
sK250: product_prod_a_a > a > a ).
thf(func_def_415,type,
sK251: product_prod_a_a > a > a ).
thf(func_def_416,type,
sK252: produc1127127335iset_a > multiset_a > multiset_a ).
thf(func_def_417,type,
sK253: produc1127127335iset_a > multiset_a > multiset_a ).
thf(func_def_418,type,
sK254: produc981471411ee_a_a > tree_a > a ).
thf(func_def_419,type,
sK255: produc981471411ee_a_a > a > tree_a ).
thf(func_def_420,type,
sK256: multiset_multiset_a > multiset_a ).
thf(f73329,plain,
$false,
inference(subsumption_resolution,[],[f73328,f1448]) ).
thf(f1448,plain,
v_a != vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))),
inference(cnf_transformation,[],[f828]) ).
thf(f828,plain,
v_a != vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))),
inference(flattening,[],[f358]) ).
thf(f358,negated_conjecture,
v_a != vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))),
inference(negated_conjecture,[],[f357]) ).
thf(f357,conjecture,
v_a = vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f73328,plain,
v_a = vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))),
inference(forward_demodulation,[],[f73233,f1558]) ).
thf(f1558,plain,
! [X0: a,X1: tree_a] : ( vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,X0),X1)) = X0 ),
inference(cnf_transformation,[],[f887]) ).
thf(f887,plain,
! [X0: a,X1: tree_a] : ( vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,X0),X1)) = X0 ),
inference(rectify,[],[f23]) ).
thf(f23,axiom,
! [X21: a,X22: tree_a] : ( vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,X21),X22)) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_fst__conv) ).
thf(f73233,plain,
vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1))) = vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,v_a),t_a2)),
inference(superposition,[],[f1558,f18620]) ).
thf(f18620,plain,
vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,v_a),t_a2) = vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)))),t_a2),
inference(forward_demodulation,[],[f18546,f1459]) ).
thf(f1459,plain,
vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,v_a),t_a2) = vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v3),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v2),l2),r2))),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,v_a),t_a2) = vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v3),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v2),l2),r2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C4__2_Oprems_C_I1_J) ).
thf(f18546,plain,
vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v3),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v2),l2),r2))) = vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)))),t_a2),
inference(superposition,[],[f1893,f1458]) ).
thf(f1458,plain,
t_a2 = vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v3),vAPP(produc143150363Tree_a,tree_a,product_snd_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v2),l2),r2)),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
t_a2 = vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v3),vAPP(produc143150363Tree_a,tree_a,product_snd_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v1),l1),r1)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,v2),l2),r2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062) ).
thf(f1893,plain,
! [X2: tree_a,X3: tree_a,X0: a,X1: a,X6: tree_a,X4: a,X5: tree_a] : ( vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X0),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X4),X5),X6))) = vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X0),vAPP(produc143150363Tree_a,tree_a,product_snd_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X4),X5),X6))) ),
inference(cnf_transformation,[],[f951]) ).
thf(f951,plain,
! [X0: a,X1: a,X2: tree_a,X3: tree_a,X4: a,X5: tree_a,X6: tree_a] : ( vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X0),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X4),X5),X6))) = vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X0),vAPP(produc143150363Tree_a,tree_a,product_snd_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X1),X2),X3)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X4),X5),X6))) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X6: a,X7: a,X8: tree_a,X9: tree_a,X10: a,X11: tree_a,X12: tree_a] : ( vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X6),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X7),X8),X9)),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X10),X11),X12))) = vAPP(tree_a,produc143150363Tree_a,vAPP(a,sTfun(tree_a,produc143150363Tree_a),produc686083979Tree_a,vAPP(produc143150363Tree_a,a,product_fst_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X7),X8),X9)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X6),vAPP(produc143150363Tree_a,tree_a,product_snd_a_Tree_a,vAPP(tree_a,produc143150363Tree_a,heapIm837449470Leaf_a,vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X7),X8),X9)))),vAPP(tree_a,tree_a,vAPP(tree_a,sTfun(tree_a,tree_a),vAPP(a,sTfun(tree_a,sTfun(tree_a,tree_a)),t_a,X10),X11),X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_removeLeaf_Osimps_I5_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP066^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 15:46:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (13812)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (13815)WARNING: value z3 for option sas not known
% 0.22/0.42 % (13818)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)
% 0.22/0.42 % (13814)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.42 % (13819)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)
% 0.22/0.42 % (13817)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)
% 0.22/0.42 % (13815)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)
% 0.22/0.42 % (13816)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.42 % (13813)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.50 % (13819)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.52 % Exception at run slice level
% 1.03/0.52 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.15/0.54 % (13820)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 1.15/0.55 % Exception at run slice level
% 1.15/0.55 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.15/0.55 % Exception at run slice level
% 1.15/0.55 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.15/0.56 % (13821)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)
% 1.15/0.57 % (13822)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)
% 1.15/0.63 % (13820)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.55/0.64 % (13821)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.55/0.64 % Exception at run slice level
% 1.55/0.64 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.55/0.66 % (13823)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)
% 103.29/15.19 % (13815)First to succeed.
% 103.29/15.19 % (13815)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13812"
% 103.29/15.21 % (13815)Refutation found. Thanks to Tanya!
% 103.29/15.21 % SZS status Theorem for theBenchmark
% 103.29/15.21 % SZS output start Proof for theBenchmark
% See solution above
% 103.29/15.21 % (13815)------------------------------
% 103.29/15.21 % (13815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 103.29/15.21 % (13815)Termination reason: Refutation
% 103.29/15.21
% 103.29/15.21 % (13815)Memory used [KB]: 128580
% 103.29/15.21 % (13815)Time elapsed: 14.780 s
% 103.29/15.21 % (13815)Instructions burned: 25941 (million)
% 103.29/15.21 % (13812)Success in time 14.851 s
%------------------------------------------------------------------------------