TSTP Solution File: COM197^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM197^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 19:13:02 EDT 2024
% Result : Theorem 114.92s 16.83s
% Output : Refutation 114.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 240
% Syntax : Number of formulae : 339 ( 43 unt; 222 typ; 0 def)
% Number of atoms : 2013 ( 282 equ; 0 cnn)
% Maximal formula atoms : 14 ( 17 avg)
% Number of connectives : 384 ( 165 ~; 169 |; 29 &; 0 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 659 ( 658 >; 1 *; 0 +; 0 <<)
% Number of symbols : 234 ( 231 usr; 6 con; 0-7 aty)
% Number of variables : 544 ( 0 ^ 260 !; 28 ?; 544 :)
% ( 256 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
itself: $tType > $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
treeFI: $tType > $tType ).
thf(type_def_8,type,
stream: $tType > $tType ).
thf(type_def_9,type,
set: $tType > $tType ).
thf(type_def_10,type,
list: $tType > $tType ).
thf(type_def_11,type,
nat: $tType ).
thf(type_def_12,type,
a: $tType ).
thf(func_def_0,type,
treeFI: $tType > $tType ).
thf(func_def_1,type,
stream: $tType > $tType ).
thf(func_def_2,type,
list: $tType > $tType ).
thf(func_def_3,type,
set: $tType > $tType ).
thf(func_def_4,type,
nat: $tType ).
thf(func_def_5,type,
itself: $tType > $tType ).
thf(func_def_6,type,
a: $tType ).
thf(func_def_7,type,
type:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_8,type,
linorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_9,type,
semilattice_sup:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_10,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X0 ) > X2 > X1 ) ).
thf(func_def_11,type,
fun_upd:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > X1 > X0 > X1 ) ).
thf(func_def_12,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_13,type,
koenig488553731niteTr:
!>[X0: $tType] : ( treeFI(X0) > $o ) ).
thf(func_def_14,type,
koenig1103336060igPath:
!>[X0: $tType] : ( treeFI(X0) > stream(X0) ) ).
thf(func_def_15,type,
koenig1755522246erPath:
!>[X0: $tType] : ( stream(X0) > treeFI(X0) > $o ) ).
thf(func_def_16,type,
sup_sup:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_17,type,
lattic477160up_fin:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_18,type,
append:
!>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).
thf(func_def_19,type,
coset:
!>[X0: $tType] : ( list(X0) > set(X0) ) ).
thf(func_def_20,type,
fold:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > list(X0) > X1 > X1 ) ).
thf(func_def_21,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > list(X0) > X1 > X1 ) ).
thf(func_def_22,type,
insert:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_23,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > list(X0) > list(X0) ) ).
thf(func_def_24,type,
linorder_sorted:
!>[X0: $tType] : ( list(X0) > $o ) ).
thf(func_def_25,type,
cons:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_26,type,
nil:
!>[X0: $tType] : list(X0) ).
thf(func_def_27,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_28,type,
list_all:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > $o ) ).
thf(func_def_29,type,
map:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > list(X0) > list(X1) ) ).
thf(func_def_30,type,
set2:
!>[X0: $tType] : ( list(X0) > set(X0) ) ).
thf(func_def_31,type,
tl:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_32,type,
list_update:
!>[X0: $tType] : ( list(X0) > nat > X0 > list(X0) ) ).
thf(func_def_33,type,
member:
!>[X0: $tType] : ( list(X0) > X0 > $o ) ).
thf(func_def_34,type,
remove1:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_35,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_36,type,
union:
!>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).
thf(func_def_37,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
type2:
!>[X0: $tType] : itself(X0) ).
thf(func_def_39,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_40,type,
insert2:
!>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).
thf(func_def_41,type,
the_elem:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_42,type,
cycle:
!>[X0: $tType] : ( list(X0) > stream(X0) ) ).
thf(func_def_43,type,
flat:
!>[X0: $tType] : ( stream(list(X0)) > stream(X0) ) ).
thf(func_def_44,type,
sdrop_while:
!>[X0: $tType] : ( ( X0 > $o ) > stream(X0) > stream(X0) ) ).
thf(func_def_45,type,
sfilter:
!>[X0: $tType] : ( ( X0 > $o ) > stream(X0) > stream(X0) ) ).
thf(func_def_46,type,
shift:
!>[X0: $tType] : ( list(X0) > stream(X0) > stream(X0) ) ).
thf(func_def_47,type,
sinterleave:
!>[X0: $tType] : ( stream(X0) > stream(X0) > stream(X0) ) ).
thf(func_def_48,type,
smap2:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > stream(X0) > stream(X1) > stream(X2) ) ).
thf(func_def_49,type,
smember:
!>[X0: $tType] : ( X0 > stream(X0) > $o ) ).
thf(func_def_50,type,
stake:
!>[X0: $tType] : ( nat > stream(X0) > list(X0) ) ).
thf(func_def_51,type,
sCons:
!>[X0: $tType] : ( X0 > stream(X0) > stream(X0) ) ).
thf(func_def_52,type,
case_stream:
!>[X0: $tType,X1: $tType] : ( ( X0 > stream(X0) > X1 ) > stream(X0) > X1 ) ).
thf(func_def_53,type,
corec_stream:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > ( X0 > stream(X1) ) > ( X0 > X0 ) > X0 > stream(X1) ) ).
thf(func_def_54,type,
pred_stream:
!>[X0: $tType] : ( ( X0 > $o ) > stream(X0) > $o ) ).
thf(func_def_55,type,
shd:
!>[X0: $tType] : ( stream(X0) > X0 ) ).
thf(func_def_56,type,
smap:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > stream(X0) > stream(X1) ) ).
thf(func_def_57,type,
sset:
!>[X0: $tType] : ( stream(X0) > set(X0) ) ).
thf(func_def_58,type,
stl:
!>[X0: $tType] : ( stream(X0) > stream(X0) ) ).
thf(func_def_59,type,
stream_all:
!>[X0: $tType] : ( ( X0 > $o ) > stream(X0) > $o ) ).
thf(func_def_60,type,
streams:
!>[X0: $tType] : ( set(X0) > set(stream(X0)) ) ).
thf(func_def_61,type,
tree:
!>[X0: $tType] : ( X0 > list(treeFI(X0)) > treeFI(X0) ) ).
thf(func_def_62,type,
case_treeFI:
!>[X0: $tType,X1: $tType] : ( ( X0 > list(treeFI(X0)) > X1 ) > treeFI(X0) > X1 ) ).
thf(func_def_63,type,
lab:
!>[X0: $tType] : ( treeFI(X0) > X0 ) ).
thf(func_def_64,type,
map_treeFI:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > treeFI(X0) > treeFI(X1) ) ).
thf(func_def_65,type,
pred_treeFI:
!>[X0: $tType] : ( ( X0 > $o ) > treeFI(X0) > $o ) ).
thf(func_def_66,type,
set_treeFI:
!>[X0: $tType] : ( treeFI(X0) > set(X0) ) ).
thf(func_def_67,type,
sub:
!>[X0: $tType] : ( treeFI(X0) > list(treeFI(X0)) ) ).
thf(func_def_68,type,
trev:
!>[X0: $tType] : ( treeFI(X0) > treeFI(X0) ) ).
thf(func_def_69,type,
member2:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_70,type,
as: stream(a) ).
thf(func_def_71,type,
phi: stream(a) > treeFI(a) > $o ).
thf(func_def_72,type,
tr: treeFI(a) ).
thf(func_def_74,type,
vNOT: $o > $o ).
thf(func_def_77,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_78,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_79,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_80,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_81,type,
vIMP: $o > $o > $o ).
thf(func_def_82,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_83,type,
vAND: $o > $o > $o ).
thf(func_def_84,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_85,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_86,type,
vOR: $o > $o > $o ).
thf(func_def_87,type,
sP0:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > $o ) > ( X1 > X0 > X0 ) > $o ) ).
thf(func_def_88,type,
sK1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_89,type,
sK2:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_90,type,
sK3:
!>[X0: $tType] : ( X0 > list(X0) > X0 ) ).
thf(func_def_91,type,
sK4:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_92,type,
sK5:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_93,type,
sK6:
!>[X0: $tType] : ( treeFI(X0) > treeFI(X0) ) ).
thf(func_def_94,type,
sK7:
!>[X0: $tType] : ( treeFI(X0) > treeFI(X0) ) ).
thf(func_def_95,type,
sK8:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > X0 ) > list(X1) > X1 ) ).
thf(func_def_96,type,
sK9: treeFI(a) > stream(a) > treeFI(a) ).
thf(func_def_97,type,
sK10:
!>[X0: $tType] : ( stream(X0) > X0 ) ).
thf(func_def_98,type,
sK11:
!>[X0: $tType] : ( stream(X0) > stream(X0) ) ).
thf(func_def_99,type,
sK12:
!>[X0: $tType] : ( treeFI(X0) > X0 ) ).
thf(func_def_100,type,
sK13:
!>[X0: $tType] : ( treeFI(X0) > list(treeFI(X0)) ) ).
thf(func_def_101,type,
sK14:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_102,type,
sK15:
!>[X0: $tType] : ( ( X0 > X0 ) > list(X0) > X0 ) ).
thf(func_def_103,type,
sK16:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_104,type,
sK17:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_105,type,
sK18:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_106,type,
sK19:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_107,type,
sK20:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_108,type,
sK21:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_109,type,
sK22:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_110,type,
sK23:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_111,type,
sK24:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_112,type,
sK25:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_113,type,
sK26:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_114,type,
sK27:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_115,type,
sK28:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_116,type,
sK29:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_117,type,
sK30:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_118,type,
sK31:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_119,type,
sK32:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_120,type,
sK33:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_121,type,
sK34:
!>[X0: $tType] : ( ( treeFI(X0) > $o ) > treeFI(X0) ) ).
thf(func_def_122,type,
sK35:
!>[X0: $tType] : ( ( treeFI(X0) > $o ) > treeFI(X0) ) ).
thf(func_def_123,type,
sK36:
!>[X0: $tType] : ( ( treeFI(X0) > $o ) > treeFI(X0) ) ).
thf(func_def_124,type,
sK37:
!>[X0: $tType] : ( treeFI(X0) > stream(X0) > treeFI(X0) ) ).
thf(func_def_125,type,
sK38:
!>[X0: $tType] : ( treeFI(X0) > X0 > X0 ) ).
thf(func_def_126,type,
sK39:
!>[X0: $tType] : ( treeFI(X0) > X0 > list(treeFI(X0)) ) ).
thf(func_def_127,type,
sK40:
!>[X0: $tType] : ( treeFI(X0) > X0 > treeFI(X0) ) ).
thf(func_def_128,type,
sK41:
!>[X0: $tType] : ( treeFI(X0) > X0 > list(treeFI(X0)) ) ).
thf(func_def_129,type,
sK42:
!>[X0: $tType] : ( list(X0) > X0 > X0 ) ).
thf(func_def_130,type,
sK43:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_131,type,
sK44:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_132,type,
sK45:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_133,type,
sK46:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_134,type,
sK47:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_135,type,
sK48:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_136,type,
sK49:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_137,type,
sK50:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).
thf(func_def_138,type,
sK51:
!>[X0: $tType] : ( stream(X0) > X0 > X0 ) ).
thf(func_def_139,type,
sK52:
!>[X0: $tType] : ( stream(X0) > X0 > stream(X0) ) ).
thf(func_def_140,type,
sK53:
!>[X0: $tType] : ( stream(X0) > X0 > stream(X0) ) ).
thf(func_def_141,type,
sK54:
!>[X0: $tType] : ( set(X0) > stream(X0) > X0 ) ).
thf(func_def_142,type,
sK55:
!>[X0: $tType] : ( set(X0) > stream(X0) > stream(X0) ) ).
thf(func_def_143,type,
sK56:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_144,type,
sK57:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_145,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_146,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_147,type,
sK60:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_148,type,
sK61:
!>[X0: $tType] : ( set(X0) > ( stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_149,type,
sK62:
!>[X0: $tType] : ( ( stream(X0) > treeFI(X0) > $o ) > stream(X0) ) ).
thf(func_def_150,type,
sK63:
!>[X0: $tType] : ( ( stream(X0) > treeFI(X0) > $o ) > treeFI(X0) ) ).
thf(func_def_151,type,
sK64:
!>[X0: $tType] : ( ( stream(X0) > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_152,type,
sK65:
!>[X0: $tType] : ( ( stream(X0) > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_153,type,
sK66:
!>[X0: $tType] : ( ( stream(X0) > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_154,type,
sK67:
!>[X0: $tType] : ( ( stream(X0) > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_155,type,
sK68:
!>[X0: $tType] : ( ( X0 > $o ) > treeFI(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_156,type,
sK69:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_157,type,
sK70:
!>[X0: $tType] : ( ( X0 > $o ) > stream(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_158,type,
sK71:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > X0 ) ).
thf(func_def_159,type,
sK72:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > list(treeFI(X0)) ) ).
thf(func_def_160,type,
sK73:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > treeFI(X0) ) ).
thf(func_def_161,type,
sK74:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > X0 ) ).
thf(func_def_162,type,
sK75:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > X0 ) ).
thf(func_def_163,type,
sK76:
!>[X0: $tType] : ( ( X0 > treeFI(X0) > $o ) > list(treeFI(X0)) ) ).
thf(func_def_164,type,
sK77:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_165,type,
sK78:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > X0 ) ).
thf(func_def_166,type,
sK79:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_167,type,
sK80:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > X0 ) ).
thf(func_def_168,type,
sK81:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_169,type,
sK82:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > X0 ) ).
thf(func_def_170,type,
sK83:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > X0 ) ).
thf(func_def_171,type,
sK84:
!>[X0: $tType] : ( ( X0 > stream(X0) > $o ) > stream(X0) ) ).
thf(func_def_172,type,
sK85:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > treeFI(X0) > X0 ) ).
thf(func_def_173,type,
sK86:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_174,type,
sK87:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > stream(X0) > X0 ) ).
thf(func_def_175,type,
sK88:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > treeFI(X1) > X1 ) ).
thf(func_def_176,type,
sK89:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > X1 ) ).
thf(func_def_177,type,
sK90:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > X1 ) ).
thf(func_def_178,type,
sK91:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > stream(X1) > X1 ) ).
thf(func_def_179,type,
sK92:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_180,type,
sK93:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > X0 ) > list(X1) > X1 ) ).
thf(func_def_181,type,
sK94:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > treeFI(X1) > X1 ) ).
thf(func_def_182,type,
sK95:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > X1 ) ).
thf(func_def_183,type,
sK96:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > X1 ) ).
thf(func_def_184,type,
sK97:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > stream(X1) > X1 ) ).
thf(func_def_185,type,
sK98:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > treeFI(X1) > treeFI(X1) > X1 ) ).
thf(func_def_186,type,
sK99:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > treeFI(X1) > treeFI(X1) > X1 ) ).
thf(func_def_187,type,
sK100:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > list(X1) > X1 ) ).
thf(func_def_188,type,
sK101:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > list(X1) > list(X1) > X1 ) ).
thf(func_def_189,type,
sK102:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > stream(X1) > stream(X1) > X1 ) ).
thf(func_def_190,type,
sK103:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > stream(X1) > stream(X1) > X1 ) ).
thf(func_def_191,type,
sK104:
!>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > X1 ) > set(X0) > X0 ) ).
thf(func_def_192,type,
sK105:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > X2 > X2 ) > ( X2 > X1 ) > list(X0) > X0 ) ).
thf(func_def_193,type,
sK106:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > $o ) > ( X1 > X0 > X0 ) > X1 ) ).
thf(func_def_194,type,
sK107:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > $o ) > ( X1 > X0 > X0 ) > X0 ) ).
thf(func_def_195,type,
sK108:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).
thf(func_def_196,type,
sK109:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > X1 > X1 ) > list(X0) > X0 ) ).
thf(func_def_197,type,
sK110:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > X1 > X1 ) > list(X0) > X1 ) ).
thf(func_def_198,type,
sK111:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > X1 > X1 ) > list(X0) > X0 ) ).
thf(func_def_199,type,
sK112:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X1 ) > ( X0 > X2 > X2 ) > ( X2 > X1 ) > list(X0) > X0 ) ).
thf(func_def_201,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_202,type,
sK114:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > list(X1) > ( X1 > X0 ) > X1 ) ).
thf(func_def_203,type,
sK115:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > list(X1) > list(X0) ) ).
thf(func_def_204,type,
sK116:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > list(X1) > X1 ) ).
thf(func_def_205,type,
sK117:
!>[X0: $tType] : ( stream(X0) > set(X0) > stream(X0) ) ).
thf(func_def_206,type,
sK118:
!>[X0: $tType] : ( list(X0) > set(X0) > X0 ) ).
thf(func_def_207,type,
sK119:
!>[X0: $tType] : ( set(X0) > list(X0) > X0 ) ).
thf(func_def_208,type,
sK120:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_209,type,
sK121:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_210,type,
sK122:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_211,type,
sK123:
!>[X0: $tType] : ( list(X0) > ( X0 > $o ) > list(X0) ) ).
thf(func_def_212,type,
sK124:
!>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_213,type,
sK125:
!>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_214,type,
sK126:
!>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_215,type,
sK127:
!>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_216,type,
sK128:
!>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).
thf(func_def_217,type,
sK129:
!>[X0: $tType] : ( X0 > list(X0) > X0 ) ).
thf(f67446,plain,
$false,
inference(avatar_sat_refutation,[],[f67377,f67378,f67443]) ).
thf(f67443,plain,
~ spl113_170,
inference(avatar_contradiction_clause,[],[f67442]) ).
thf(f67442,plain,
( $false
| ~ spl113_170 ),
inference(trivial_inequality_removal,[],[f67441]) ).
thf(f67441,plain,
( ( $true = $false )
| ~ spl113_170 ),
inference(forward_demodulation,[],[f67440,f2100]) ).
thf(f2100,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $false,
inference(trivial_inequality_removal,[],[f2098]) ).
thf(f2098,plain,
( ( $true != $true )
| ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $false ) ),
inference(superposition,[],[f1047,f267]) ).
thf(f267,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f1047,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) != $true,
inference(cnf_transformation,[],[f592]) ).
thf(f592,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) != $true,
inference(flattening,[],[f269]) ).
thf(f269,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) != $true,
inference(fool_elimination,[],[f268]) ).
thf(f268,plain,
~ vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr),
inference(rectify,[],[f265]) ).
thf(f265,negated_conjecture,
~ vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr),
inference(negated_conjecture,[],[f264]) ).
thf(f264,conjecture,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f67440,plain,
( ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true )
| ~ spl113_170 ),
inference(trivial_inequality_removal,[],[f67431]) ).
thf(f67431,plain,
( ( $true != $true )
| ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true )
| ~ spl113_170 ),
inference(superposition,[],[f67409,f1408]) ).
thf(f1408,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,as),tr) = $true,
inference(cnf_transformation,[],[f591]) ).
thf(f591,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,as),tr) = $true,
inference(fool_elimination,[],[f590]) ).
thf(f590,plain,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,as),tr),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,as),tr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C_K_C) ).
thf(f67409,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) ) )
| ~ spl113_170 ),
inference(subsumption_resolution,[],[f67408,f27841]) ).
thf(f27841,plain,
vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) = vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),
inference(trivial_inequality_removal,[],[f27813]) ).
thf(f27813,plain,
( ( $true = $false )
| ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) = vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) ) ),
inference(superposition,[],[f27812,f2784]) ).
thf(f2784,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $false = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( vAPP(stream(a),a,sK10(a),X0) = vAPP(treeFI(a),a,sK12(a),X1) ) ),
inference(backward_demodulation,[],[f2338,f2712]) ).
thf(f2712,plain,
! [X0: $tType,X1: treeFI(X0)] : ( vAPP(treeFI(X0),X0,lab(X0),X1) = vAPP(treeFI(X0),X0,sK12(X0),X1) ),
inference(superposition,[],[f1122,f1117]) ).
thf(f1117,plain,
! [X0: $tType,X1: treeFI(X0)] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),vAPP(treeFI(X0),X0,sK12(X0),X1)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),X1)) = X1 ),
inference(cnf_transformation,[],[f913]) ).
thf(f913,plain,
! [X0: $tType,X1: treeFI(X0)] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),vAPP(treeFI(X0),X0,sK12(X0),X1)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),X1)) = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f742,f912]) ).
thf(f912,plain,
! [X0: $tType,X1: treeFI(X0)] :
( ? [X2: X0,X3: list(treeFI(X0))] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X2),X3) = X1 )
=> ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),vAPP(treeFI(X0),X0,sK12(X0),X1)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
thf(f742,plain,
! [X0: $tType,X1: treeFI(X0)] :
? [X2: X0,X3: list(treeFI(X0))] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X2),X3) = X1 ),
inference(ennf_transformation,[],[f615]) ).
thf(f615,plain,
! [X0: $tType,X1: treeFI(X0)] :
~ ! [X2: X0,X3: list(treeFI(X0))] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X2),X3) != X1 ),
inference(rectify,[],[f34]) ).
thf(f34,axiom,
! [X0: $tType,X51: treeFI(X0)] :
~ ! [X52: X0,X53: list(treeFI(X0))] : ( vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X52),X53) != X51 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_treeFI_Oexhaust) ).
thf(f1122,plain,
! [X0: $tType,X2: list(treeFI(X0)),X1: X0] : ( vAPP(treeFI(X0),X0,lab(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X1),X2)) = X1 ),
inference(cnf_transformation,[],[f618]) ).
thf(f618,plain,
! [X0: $tType,X1: X0,X2: list(treeFI(X0))] : ( vAPP(treeFI(X0),X0,lab(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X1),X2)) = X1 ),
inference(rectify,[],[f57]) ).
thf(f57,axiom,
! [X0: $tType,X44: X0,X45: list(treeFI(X0))] : ( vAPP(treeFI(X0),X0,lab(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X44),X45)) = X44 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_treeFI_Osel_I1_J) ).
thf(f2338,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $false = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( vAPP(treeFI(a),a,lab(a),X1) = vAPP(stream(a),a,sK10(a),X0) ) ),
inference(backward_demodulation,[],[f2224,f2263]) ).
thf(f2263,plain,
! [X0: $tType,X1: stream(X0)] : ( vAPP(stream(X0),X0,shd(X0),X1) = vAPP(stream(X0),X0,sK10(X0),X1) ),
inference(superposition,[],[f1120,f1116]) ).
thf(f1116,plain,
! [X0: $tType,X1: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),vAPP(stream(X0),X0,sK10(X0),X1)),vAPP(stream(X0),stream(X0),sK11(X0),X1)) = X1 ),
inference(cnf_transformation,[],[f911]) ).
thf(f911,plain,
! [X0: $tType,X1: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),vAPP(stream(X0),X0,sK10(X0),X1)),vAPP(stream(X0),stream(X0),sK11(X0),X1)) = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f741,f910]) ).
thf(f910,plain,
! [X0: $tType,X1: stream(X0)] :
( ? [X2: X0,X3: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X2),X3) = X1 )
=> ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),vAPP(stream(X0),X0,sK10(X0),X1)),vAPP(stream(X0),stream(X0),sK11(X0),X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
thf(f741,plain,
! [X0: $tType,X1: stream(X0)] :
? [X2: X0,X3: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X2),X3) = X1 ),
inference(ennf_transformation,[],[f614]) ).
thf(f614,plain,
! [X0: $tType,X1: stream(X0)] :
~ ! [X2: X0,X3: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X2),X3) != X1 ),
inference(rectify,[],[f36]) ).
thf(f36,axiom,
! [X0: $tType,X51: stream(X0)] :
~ ! [X52: X0,X53: stream(X0)] : ( vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X52),X53) != X51 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_stream_Oexhaust) ).
thf(f1120,plain,
! [X0: $tType,X2: stream(X0),X1: X0] : ( vAPP(stream(X0),X0,shd(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X1),X2)) = X1 ),
inference(cnf_transformation,[],[f616]) ).
thf(f616,plain,
! [X0: $tType,X1: X0,X2: stream(X0)] : ( vAPP(stream(X0),X0,shd(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X1),X2)) = X1 ),
inference(rectify,[],[f51]) ).
thf(f51,axiom,
! [X0: $tType,X44: X0,X45: stream(X0)] : ( vAPP(stream(X0),X0,shd(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X44),X45)) = X44 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_stream_Osel_I1_J) ).
thf(f2224,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $false = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) ) ),
inference(trivial_inequality_removal,[],[f2223]) ).
thf(f2223,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true != $true )
| ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) )
| ( $false = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(superposition,[],[f1113,f267]) ).
thf(f1113,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) ) ),
inference(cnf_transformation,[],[f739]) ).
thf(f739,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(ennf_transformation,[],[f347]) ).
thf(f347,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
=> ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) ) ),
inference(fool_elimination,[],[f346]) ).
thf(f346,plain,
! [X0: stream(a),X1: treeFI(a)] :
( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1)
=> ( vAPP(stream(a),a,shd(a),X0) = vAPP(treeFI(a),a,lab(a),X1) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
! [X4: stream(a),X5: treeFI(a)] :
( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X4),X5)
=> ( vAPP(stream(a),a,shd(a),X4) = vAPP(treeFI(a),a,lab(a),X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__C_K_K_C) ).
thf(f27812,plain,
$true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),
inference(trivial_inequality_removal,[],[f27811]) ).
thf(f27811,plain,
( ( $true = $false )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) ) ),
inference(forward_demodulation,[],[f27809,f2100]) ).
thf(f27809,plain,
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true ) ),
inference(trivial_inequality_removal,[],[f27795]) ).
thf(f27795,plain,
( ( $true != $true )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true ) ),
inference(superposition,[],[f1262,f1408]) ).
thf(f1262,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o] :
( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) ) ),
inference(cnf_transformation,[],[f978]) ).
thf(f978,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o,X2: stream(X0),X3: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( ! [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1) != X7 )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 ) )
& ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) ) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63])],[f811,f977]) ).
thf(f977,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o] :
( ? [X4: stream(X0),X5: treeFI(X0)] :
( ! [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( X5 != X7 )
| ( X4 != X6 ) )
& ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X4),X5) ) )
=> ( ! [X8: treeFI(X0),X7: treeFI(X0),X6: stream(X0)] :
( ( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1) != X7 )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 ) )
& ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f811,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o,X2: stream(X0),X3: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ? [X4: stream(X0),X5: treeFI(X0)] :
( ! [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( X5 != X7 )
| ( X4 != X6 ) )
& ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X4),X5) ) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(flattening,[],[f810]) ).
thf(f810,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o,X2: stream(X0),X3: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ? [X4: stream(X0),X5: treeFI(X0)] :
( ! [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( X5 != X7 )
| ( X4 != X6 ) )
& ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X4),X5) ) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(ennf_transformation,[],[f489]) ).
thf(f489,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o,X2: stream(X0),X3: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) )
=> ( ! [X4: stream(X0),X5: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X4),X5) )
=> ? [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) ) )
& ( $true = vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
& ( vAPP(stream(X0),X0,shd(X0),X6) = vAPP(treeFI(X0),X0,lab(X0),X7) )
& ( X5 = X7 )
& ( X4 = X6 ) ) )
=> ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) ) ) ),
inference(fool_elimination,[],[f488]) ).
thf(f488,plain,
! [X0: $tType,X1: stream(X0) > treeFI(X0) > $o,X2: stream(X0),X3: treeFI(X0)] :
( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3)
=> ( ! [X4: stream(X0),X5: treeFI(X0)] :
( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X4),X5)
=> ? [X6: stream(X0),X7: treeFI(X0),X8: treeFI(X0)] :
( ( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8)
| vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
& vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7)))
& ( vAPP(stream(X0),X0,shd(X0),X6) = vAPP(treeFI(X0),X0,lab(X0),X7) )
& ( X5 = X7 )
& ( X4 = X6 ) ) )
=> vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X0: $tType,X16: stream(X0) > treeFI(X0) > $o,X17: stream(X0),X18: treeFI(X0)] :
( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X16,X17),X18)
=> ( ! [X6: stream(X0),X19: treeFI(X0)] :
( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X16,X6),X19)
=> ? [X20: stream(X0),X21: treeFI(X0),X22: treeFI(X0)] :
( ( vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X20)),X22)
| vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X16,vAPP(stream(X0),stream(X0),stl(X0),X20)),X22) )
& vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X22),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X21)))
& ( vAPP(stream(X0),X0,shd(X0),X20) = vAPP(treeFI(X0),X0,lab(X0),X21) )
& ( X19 = X21 )
& ( X6 = X20 ) ) )
=> vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X17),X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_properPath_Ocoinduct) ).
thf(f67408,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_170 ),
inference(subsumption_resolution,[],[f67402,f27837]) ).
thf(f27837,plain,
$true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))),
inference(trivial_inequality_removal,[],[f27817]) ).
thf(f27817,plain,
( ( $true != $true )
| ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))) ) ),
inference(superposition,[],[f2739,f27812]) ).
thf(f2739,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),X1))) ) ),
inference(backward_demodulation,[],[f1114,f2711]) ).
thf(f2711,plain,
! [X0: $tType,X1: treeFI(X0)] : ( vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X1) = vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),X1) ),
inference(superposition,[],[f1124,f1117]) ).
thf(f1124,plain,
! [X0: $tType,X2: list(treeFI(X0)),X1: X0] : ( vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X1),X2)) = X2 ),
inference(cnf_transformation,[],[f620]) ).
thf(f620,plain,
! [X0: $tType,X1: X0,X2: list(treeFI(X0))] : ( vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X1),X2)) = X2 ),
inference(rectify,[],[f56]) ).
thf(f56,axiom,
! [X0: $tType,X44: X0,X45: list(treeFI(X0))] : ( vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(list(treeFI(X0)),treeFI(X0),vAPP(X0,sTfun(list(treeFI(X0)),treeFI(X0)),tree(X0),X44),X45)) = X45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_treeFI_Osel_I2_J) ).
thf(f1114,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(cnf_transformation,[],[f909]) ).
thf(f909,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( ( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) ) )
& ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f740,f908]) ).
thf(f908,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ? [X2: treeFI(a)] :
( ( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),X2) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),X2) ) )
& ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),X2),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) )
=> ( ( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) ) )
& ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) ) ),
introduced(choice_axiom,[]) ).
thf(f740,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ? [X2: treeFI(a)] :
( ( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),X2) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),X2) ) )
& ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),X2),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(ennf_transformation,[],[f349]) ).
thf(f349,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
=> ? [X2: treeFI(a)] :
( ( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),X2) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),X2) ) )
& ( $true = vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),X2),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) ) ),
inference(fool_elimination,[],[f348]) ).
thf(f348,plain,
! [X0: stream(a),X1: treeFI(a)] :
( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1)
=> ? [X2: treeFI(a)] :
( ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),X2)
| vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),X2) )
& vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),X2),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X1))) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X4: stream(a),X5: treeFI(a)] :
( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X4),X5)
=> ? [X6: treeFI(a)] :
( ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X4)),X6)
| vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X4)),X6) )
& vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),X6),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sub(a),X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C_K_K_K_C) ).
thf(f67402,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))) )
| ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_170 ),
inference(trivial_inequality_removal,[],[f67384]) ).
thf(f67384,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != $true )
| ( $true != vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))) )
| ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_170 ),
inference(superposition,[],[f2743,f42636]) ).
thf(f42636,plain,
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) )
| ~ spl113_170 ),
inference(avatar_component_clause,[],[f42634]) ).
thf(f42634,plain,
( spl113_170
<=> ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_170])]) ).
thf(f2743,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) != vAPP(treeFI(X0),X0,sK12(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2731,f2712]) ).
thf(f2731,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2306,f2711]) ).
thf(f2306,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2278,f2263]) ).
thf(f2278,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,shd(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f1416,f2262]) ).
thf(f2262,plain,
! [X0: $tType,X1: stream(X0)] : ( vAPP(stream(X0),stream(X0),stl(X0),X1) = vAPP(stream(X0),stream(X0),sK11(X0),X1) ),
inference(superposition,[],[f1121,f1116]) ).
thf(f1121,plain,
! [X0: $tType,X2: stream(X0),X1: X0] : ( vAPP(stream(X0),stream(X0),stl(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X1),X2)) = X2 ),
inference(cnf_transformation,[],[f617]) ).
thf(f617,plain,
! [X0: $tType,X1: X0,X2: stream(X0)] : ( vAPP(stream(X0),stream(X0),stl(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X1),X2)) = X2 ),
inference(rectify,[],[f50]) ).
thf(f50,axiom,
! [X0: $tType,X44: X0,X45: stream(X0)] : ( vAPP(stream(X0),stream(X0),stl(X0),vAPP(stream(X0),stream(X0),vAPP(X0,sTfun(stream(X0),stream(X0)),sCons(X0),X44),X45)) = X45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_stream_Osel_I2_J) ).
thf(f1416,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,shd(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(equality_resolution,[],[f1415]) ).
thf(f1415,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0),X6: stream(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(equality_resolution,[],[f1263]) ).
thf(f1263,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0),X6: stream(X0),X7: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1) != X7 )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(cnf_transformation,[],[f978]) ).
thf(f67378,plain,
( spl113_169
| spl113_170 ),
inference(avatar_split_clause,[],[f56108,f42634,f42630]) ).
thf(f42630,plain,
( spl113_169
<=> ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_169])]) ).
thf(f56108,plain,
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) ) ),
inference(trivial_inequality_removal,[],[f56104]) ).
thf(f56104,plain,
( ( $true != $true )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) ) ),
inference(superposition,[],[f2304,f27812]) ).
thf(f2304,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),sK11(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) ) ),
inference(forward_demodulation,[],[f2296,f2262]) ).
thf(f2296,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),sK11(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(backward_demodulation,[],[f1115,f2262]) ).
thf(f1115,plain,
! [X0: stream(a),X1: treeFI(a)] :
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,vAPP(stream(a),stream(a),stl(a),X0)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,X1),X0)) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) ),
inference(cnf_transformation,[],[f909]) ).
thf(f67377,plain,
~ spl113_169,
inference(avatar_contradiction_clause,[],[f67376]) ).
thf(f67376,plain,
( $false
| ~ spl113_169 ),
inference(trivial_inequality_removal,[],[f67375]) ).
thf(f67375,plain,
( ( $true = $false )
| ~ spl113_169 ),
inference(forward_demodulation,[],[f67374,f2100]) ).
thf(f67374,plain,
( ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true )
| ~ spl113_169 ),
inference(trivial_inequality_removal,[],[f67366]) ).
thf(f67366,plain,
( ( $true != $true )
| ( vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),as),tr) = $true )
| ~ spl113_169 ),
inference(superposition,[],[f67363,f1408]) ).
thf(f67363,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) ) )
| ~ spl113_169 ),
inference(subsumption_resolution,[],[f67362,f27841]) ).
thf(f67362,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_169 ),
inference(subsumption_resolution,[],[f67361,f27837]) ).
thf(f67361,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))) )
| ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_169 ),
inference(trivial_inequality_removal,[],[f67357]) ).
thf(f67357,plain,
( ! [X0: stream(a),X1: treeFI(a)] :
( ( $true != $true )
| ( $true != vAPP(set(treeFI(a)),$o,vAPP(treeFI(a),sTfun(set(treeFI(a)),$o),member2(treeFI(a)),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(list(treeFI(a)),set(treeFI(a)),set2(treeFI(a)),vAPP(treeFI(a),list(treeFI(a)),sK13(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)))) )
| ( vAPP(stream(a),a,sK10(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi)) != vAPP(treeFI(a),a,sK12(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)) )
| ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),X0),X1) )
| ( $true != vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),phi,X0),X1) ) )
| ~ spl113_169 ),
inference(superposition,[],[f2742,f42632]) ).
thf(f42632,plain,
( ( $true = vAPP(treeFI(a),$o,vAPP(stream(a),sTfun(treeFI(a),$o),koenig1755522246erPath(a),vAPP(stream(a),stream(a),sK11(a),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))),vAPP(stream(a),treeFI(a),vAPP(treeFI(a),sTfun(stream(a),treeFI(a)),sK9,vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),treeFI(a),sK63(a),phi)),vAPP(sTfun(stream(a),sTfun(treeFI(a),$o)),stream(a),sK62(a),phi))) )
| ~ spl113_169 ),
inference(avatar_component_clause,[],[f42630]) ).
thf(f2742,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) != vAPP(treeFI(X0),X0,sK12(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2732,f2712]) ).
thf(f2732,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sK13(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2305,f2711]) ).
thf(f2305,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,sK10(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f2279,f2263]) ).
thf(f2279,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),sK11(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,shd(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(backward_demodulation,[],[f1414,f2262]) ).
thf(f1414,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1))),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) != vAPP(stream(X0),X0,shd(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1)) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(equality_resolution,[],[f1413]) ).
thf(f1413,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0),X6: stream(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1)) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(equality_resolution,[],[f1264]) ).
thf(f1264,plain,
! [X0: $tType,X2: stream(X0),X3: treeFI(X0),X1: stream(X0) > treeFI(X0) > $o,X8: treeFI(X0),X6: stream(X0),X7: treeFI(X0)] :
( ( $true = vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),X2),X3) )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),koenig1755522246erPath(X0),vAPP(stream(X0),stream(X0),stl(X0),X6)),X8) )
| ( $true != vAPP(set(treeFI(X0)),$o,vAPP(treeFI(X0),sTfun(set(treeFI(X0)),$o),member2(treeFI(X0)),X8),vAPP(list(treeFI(X0)),set(treeFI(X0)),set2(treeFI(X0)),vAPP(treeFI(X0),list(treeFI(X0)),sub(X0),X7))) )
| ( vAPP(stream(X0),X0,shd(X0),X6) != vAPP(treeFI(X0),X0,lab(X0),X7) )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),treeFI(X0),sK63(X0),X1) != X7 )
| ( vAPP(sTfun(stream(X0),sTfun(treeFI(X0),$o)),stream(X0),sK62(X0),X1) != X6 )
| ( $true != vAPP(treeFI(X0),$o,vAPP(stream(X0),sTfun(treeFI(X0),$o),X1,X2),X3) ) ),
inference(cnf_transformation,[],[f978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COM197^1 : TPTP v8.2.0. Released v7.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 10:18:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (22571)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39 % (22574)WARNING: value z3 for option sas not known
% 0.12/0.39 % (22572)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.39 % (22574)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)
% 0.12/0.39 % (22573)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.39 % (22575)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.39 % (22576)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)
% 0.12/0.39 % (22577)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)
% 0.12/0.39 % (22578)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)
% 0.18/0.45 % Exception at run slice level
% 0.18/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.45 % (22578)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.46 % Exception at run slice level
% 0.18/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.47 % (22579)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.18/0.47 % Exception at run slice level
% 0.18/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.48 % (22580)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)
% 0.18/0.49 % (22581)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)
% 0.18/0.53 % (22579)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.54 % Exception at run slice level
% 0.18/0.54 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.55 % (22580)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.56 % (22582)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)
% 114.37/16.79 % (22581)First to succeed.
% 114.92/16.81 % (22581)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22571"
% 114.92/16.83 % (22581)Refutation found. Thanks to Tanya!
% 114.92/16.83 % SZS status Theorem for theBenchmark
% 114.92/16.83 % SZS output start Proof for theBenchmark
% See solution above
% 114.92/16.83 % (22581)------------------------------
% 114.92/16.83 % (22581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 114.92/16.83 % (22581)Termination reason: Refutation
% 114.92/16.83
% 114.92/16.83 % (22581)Memory used [KB]: 47313
% 114.92/16.83 % (22581)Time elapsed: 16.327 s
% 114.92/16.83 % (22581)Instructions burned: 26558 (million)
% 114.92/16.83 % (22571)Success in time 16.368 s
%------------------------------------------------------------------------------