TSTP Solution File: DAT229^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT229^1 : 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 : n002.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 19:51:52 EDT 2024
% Result : Theorem 201.23s 29.10s
% Output : Refutation 201.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 192
% Syntax : Number of formulae : 226 ( 12 unt; 185 typ; 0 def)
% Number of atoms : 265 ( 61 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 54 ( 24 ~; 16 |; 0 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 568 ( 565 >; 3 *; 0 +; 0 <<)
% Number of symbols : 184 ( 181 usr; 6 con; 0-10 aty)
% Number of variables : 394 ( 0 ^ 86 !; 10 ?; 394 :)
% ( 298 !>; 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,
set: $tType > $tType ).
thf(type_def_8,type,
nat: $tType ).
thf(type_def_9,type,
rBT_Im1923302023_color: $tType ).
thf(type_def_10,type,
rBT_Im246033960le_rbt: ( $tType * $tType ) > $tType ).
thf(type_def_11,type,
a: $tType ).
thf(type_def_12,type,
b: $tType ).
thf(func_def_0,type,
rBT_Im1923302023_color: $tType ).
thf(func_def_1,type,
rBT_Im246033960le_rbt: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
set: $tType > $tType ).
thf(func_def_3,type,
nat: $tType ).
thf(func_def_4,type,
itself: $tType > $tType ).
thf(func_def_5,type,
b: $tType ).
thf(func_def_6,type,
a: $tType ).
thf(func_def_7,type,
bounded_lattice:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_8,type,
type:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_9,type,
bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_10,type,
preorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_11,type,
order_bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_12,type,
bounded_lattice_bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_13,type,
bounde1808546759up_bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_14,type,
bNF_id_bnf:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_15,type,
bNF_eq_onp:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > $o ) ).
thf(func_def_16,type,
bNF_vimage2p:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( X0 > X1 ) > ( X2 > X3 ) > ( X1 > X3 > X4 ) > X0 > X2 > X4 ) ).
thf(func_def_17,type,
finite_finite:
!>[X0: $tType] : ( set(X0) > $o ) ).
thf(func_def_18,type,
bij_betw:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > set(X1) > $o ) ).
thf(func_def_19,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X0 ) > X2 > X1 ) ).
thf(func_def_20,type,
map_fun:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > X1 ) > ( X2 > X3 ) > ( X1 > X2 ) > X0 > X3 ) ).
thf(func_def_21,type,
override_on:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > X1 ) > set(X0) > X0 > X1 ) ).
thf(func_def_22,type,
comm_monoid:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > $o ) ).
thf(func_def_23,type,
monoid:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > $o ) ).
thf(func_def_24,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_26,type,
inf_inf:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_27,type,
semilattice_neutr:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > $o ) ).
thf(func_def_28,type,
sup_sup:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_29,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_30,type,
bot_bot:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_32,type,
type2:
!>[X0: $tType] : itself(X0) ).
thf(func_def_33,type,
rBT_Impl_Mirabelle_B: rBT_Im1923302023_color ).
thf(func_def_34,type,
rBT_Impl_Mirabelle_R: rBT_Im1923302023_color ).
thf(func_def_35,type,
rBT_Im1975547051_color:
!>[X0: $tType] : ( X0 > X0 > rBT_Im1923302023_color > X0 ) ).
thf(func_def_36,type,
rBT_Im1059957627_color:
!>[X0: $tType] : ( X0 > X0 > rBT_Im1923302023_color > X0 ) ).
thf(func_def_37,type,
rBT_Im800559290_color: rBT_Im1923302023_color > nat ).
thf(func_def_38,type,
rBT_Im480247531Branch:
!>[X0: $tType,X1: $tType] : ( rBT_Im1923302023_color > rBT_Im246033960le_rbt(X0,X1) > X0 > X1 > rBT_Im246033960le_rbt(X0,X1) > rBT_Im246033960le_rbt(X0,X1) ) ).
thf(func_def_39,type,
rBT_Im418718756_Empty:
!>[X0: $tType,X1: $tType] : rBT_Im246033960le_rbt(X0,X1) ).
thf(func_def_40,type,
rBT_Im858806507se_rbt:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > ( rBT_Im1923302023_color > rBT_Im246033960le_rbt(X1,X2) > X1 > X2 > rBT_Im246033960le_rbt(X1,X2) > X0 ) > rBT_Im246033960le_rbt(X1,X2) > X0 ) ).
thf(func_def_41,type,
rBT_Im206295089ap_rbt:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > X1 ) > ( X2 > X3 ) > rBT_Im246033960le_rbt(X0,X2) > rBT_Im246033960le_rbt(X1,X3) ) ).
thf(func_def_42,type,
rBT_Im1931894874ed_rbt:
!>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > ( X1 > $o ) > rBT_Im246033960le_rbt(X0,X1) > $o ) ).
thf(func_def_43,type,
rBT_Im1947144893ec_rbt:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > ( rBT_Im1923302023_color > rBT_Im246033960le_rbt(X1,X2) > X1 > X2 > rBT_Im246033960le_rbt(X1,X2) > X0 > X0 > X0 ) > rBT_Im246033960le_rbt(X1,X2) > X0 ) ).
thf(func_def_44,type,
rBT_Im1000242676el_rbt:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > X1 > $o ) > ( X2 > X3 > $o ) > rBT_Im246033960le_rbt(X0,X2) > rBT_Im246033960le_rbt(X1,X3) > $o ) ).
thf(func_def_45,type,
rBT_Im1178217900t1_rbt:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X0,X1) > set(X0) ) ).
thf(func_def_46,type,
rBT_Im1550225131t2_rbt:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X0,X1) > set(X1) ) ).
thf(func_def_47,type,
rBT_Im1485196410ze_rbt:
!>[X0: $tType,X1: $tType] : ( ( X0 > nat ) > ( X1 > nat ) > rBT_Im246033960le_rbt(X0,X1) > nat ) ).
thf(func_def_48,type,
ball:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > $o ) ).
thf(func_def_49,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_50,type,
insert:
!>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).
thf(func_def_51,type,
is_empty:
!>[X0: $tType] : ( set(X0) > $o ) ).
thf(func_def_52,type,
is_singleton:
!>[X0: $tType] : ( set(X0) > $o ) ).
thf(func_def_53,type,
pairwise:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > set(X0) > $o ) ).
thf(func_def_54,type,
the_elem:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_55,type,
vimage:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X1) > set(X0) ) ).
thf(func_def_56,type,
member:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_57,type,
t: rBT_Im246033960le_rbt(a,b) ).
thf(func_def_58,type,
thesis: $o ).
thf(func_def_62,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_63,type,
vIMP: $o > $o > $o ).
thf(func_def_64,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_65,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_66,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_67,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_68,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_69,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_70,type,
vNOT: $o > $o ).
thf(func_def_71,type,
vAND: $o > $o > $o ).
thf(func_def_72,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_73,type,
vOR: $o > $o > $o ).
thf(func_def_74,type,
sP0:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_75,type,
sP1:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X0,X1) > ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_76,type,
sP2:
!>[X0: $tType,X1: $tType,X2: $tType] : ( rBT_Im246033960le_rbt(X0,X2) > rBT_Im246033960le_rbt(X0,X2) > ( X0 > X1 ) > ( X0 > X1 ) > $o ) ).
thf(func_def_77,type,
sP3:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > $o ) ).
thf(func_def_78,type,
sP4:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > $o ) ).
thf(func_def_79,type,
sK5:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_80,type,
sK6:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_81,type,
sK7:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_82,type,
sK8:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_83,type,
sK9:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > rBT_Im1923302023_color ) ).
thf(func_def_84,type,
sK10:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_85,type,
sK11:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 ) ).
thf(func_def_86,type,
sK12:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 ) ).
thf(func_def_87,type,
sK13:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_88,type,
sK14:
!>[X0: $tType] : ( X0 > set(X0) > X0 > X0 ) ).
thf(func_def_89,type,
sK15:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_90,type,
sK16:
!>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).
thf(func_def_91,type,
sK17:
!>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).
thf(func_def_92,type,
sK18:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 > X0 ) ).
thf(func_def_93,type,
sK19:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_94,type,
sK20:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_95,type,
sK21:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_96,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_97,type,
sK23:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_98,type,
sK24:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_99,type,
sK25:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_100,type,
sK26:
!>[X0: $tType,X1: $tType] : ( ( rBT_Im246033960le_rbt(X1,X0) > $o ) > rBT_Im1923302023_color ) ).
thf(func_def_101,type,
sK27:
!>[X0: $tType,X1: $tType] : ( ( rBT_Im246033960le_rbt(X1,X0) > $o ) > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_102,type,
sK28:
!>[X0: $tType,X1: $tType] : ( ( rBT_Im246033960le_rbt(X1,X0) > $o ) > X1 ) ).
thf(func_def_103,type,
sK29:
!>[X0: $tType,X1: $tType] : ( ( rBT_Im246033960le_rbt(X1,X0) > $o ) > X0 ) ).
thf(func_def_104,type,
sK30:
!>[X0: $tType,X1: $tType] : ( ( rBT_Im246033960le_rbt(X1,X0) > $o ) > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_105,type,
sK31:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_106,type,
sK32:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im1923302023_color ) ).
thf(func_def_107,type,
sK33:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_108,type,
sK34:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > X1 ) ).
thf(func_def_109,type,
sK35:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > X0 ) ).
thf(func_def_110,type,
sK36:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_111,type,
sK37:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im1923302023_color ) ).
thf(func_def_112,type,
sK38:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_113,type,
sK39:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > X0 ) ).
thf(func_def_114,type,
sK40:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_115,type,
sK41:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im1923302023_color ) ).
thf(func_def_116,type,
sK42:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_117,type,
sK43:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > X1 ) ).
thf(func_def_118,type,
sK44:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > X0 ) ).
thf(func_def_119,type,
sK45:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X1 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_120,type,
sK46:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im1923302023_color ) ).
thf(func_def_121,type,
sK47:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_122,type,
sK48:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > X1 ) ).
thf(func_def_123,type,
sK49:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > X0 ) ).
thf(func_def_124,type,
sK50:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_125,type,
sK51:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im1923302023_color ) ).
thf(func_def_126,type,
sK52:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_127,type,
sK53:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > X1 ) ).
thf(func_def_128,type,
sK54:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_129,type,
sK55:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im1923302023_color ) ).
thf(func_def_130,type,
sK56:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_131,type,
sK57:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > X1 ) ).
thf(func_def_132,type,
sK58:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > X0 ) ).
thf(func_def_133,type,
sK59:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X1,X0) > X0 > rBT_Im246033960le_rbt(X1,X0) ) ).
thf(func_def_134,type,
sK60:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > X0 ) ).
thf(func_def_135,type,
sK61:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > ( X0 > $o ) > X1 ) ).
thf(func_def_136,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > rBT_Im246033960le_rbt(X1,X0) > X0 ) ).
thf(func_def_137,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( X1 > X1 > $o ) > rBT_Im246033960le_rbt(X1,X0) > X1 ) ).
thf(func_def_138,type,
sK64:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_139,type,
sK65:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_140,type,
sK66:
!>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > X0 > X1 ) ).
thf(func_def_141,type,
sK67:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > X1 ) > set(X0) > X0 ) ).
thf(func_def_142,type,
sK68:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).
thf(func_def_143,type,
sK69:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > X1 > X0 > ( X0 > X1 > $o ) > X0 ) ).
thf(func_def_144,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > X1 > X0 > ( X0 > X1 > $o ) > X1 ) ).
thf(func_def_145,type,
sK71:
!>[X0: $tType,X1: $tType] : ( rBT_Im246033960le_rbt(X0,X1) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_146,type,
sK72:
!>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > rBT_Im246033960le_rbt(X1,X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_147,type,
sK73:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > ( X0 > X1 > $o ) > X1 > X0 > X0 ) ).
thf(func_def_148,type,
sK74:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > ( X0 > X1 > $o ) > X1 > X0 > X1 ) ).
thf(func_def_149,type,
sK75:
!>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > rBT_Im246033960le_rbt(X1,X0) > X0 ) ).
thf(func_def_150,type,
sK76:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > $o ) > rBT_Im246033960le_rbt(X1,X0) > X1 ) ).
thf(func_def_151,type,
sK77:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > X1 ) ).
thf(func_def_152,type,
sK78:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X0 ) > ( X2 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > X2 ) ).
thf(func_def_153,type,
sK79:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > X1 ) ).
thf(func_def_154,type,
sK80:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X0 ) > ( X2 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > X2 ) ).
thf(func_def_155,type,
sK81:
!>[X0: $tType,X1: $tType,X2: $tType] : ( rBT_Im246033960le_rbt(X0,X2) > rBT_Im246033960le_rbt(X0,X2) > ( X0 > X1 ) > ( X0 > X1 ) > X0 ) ).
thf(func_def_156,type,
sK82:
!>[X0: $tType,X1: $tType,X2: $tType] : ( rBT_Im246033960le_rbt(X0,X2) > rBT_Im246033960le_rbt(X0,X2) > ( X0 > X1 ) > ( X0 > X1 ) > X0 ) ).
thf(func_def_157,type,
sK83:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > rBT_Im246033960le_rbt(X2,X1) > X1 ) ).
thf(func_def_158,type,
sK84:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > rBT_Im246033960le_rbt(X2,X1) > rBT_Im246033960le_rbt(X2,X1) > X1 ) ).
thf(func_def_159,type,
sK85:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > X1 ) ).
thf(func_def_160,type,
sK86:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > X0 ) ).
thf(func_def_161,type,
sK87:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X2 > $o ) > rBT_Im246033960le_rbt(X3,X2) > rBT_Im246033960le_rbt(X0,X1) > ( X1 > X2 > $o ) > X1 ) ).
thf(func_def_162,type,
sK88:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X2 > $o ) > rBT_Im246033960le_rbt(X3,X2) > rBT_Im246033960le_rbt(X0,X1) > ( X1 > X2 > $o ) > X2 ) ).
thf(func_def_163,type,
sK89:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > X1 ) ).
thf(func_def_164,type,
sK90:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( rBT_Im246033960le_rbt(X1,X3) > rBT_Im246033960le_rbt(X0,X2) > ( X1 > X0 > $o ) > ( X1 > X0 > $o ) > X0 ) ).
thf(func_def_165,type,
sK91:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X2 > $o ) > ( X1 > X2 > $o ) > rBT_Im246033960le_rbt(X3,X2) > rBT_Im246033960le_rbt(X0,X1) > X1 ) ).
thf(func_def_166,type,
sK92:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X2 > $o ) > ( X1 > X2 > $o ) > rBT_Im246033960le_rbt(X3,X2) > rBT_Im246033960le_rbt(X0,X1) > X2 ) ).
thf(func_def_168,type,
sK94:
!>[X0: $tType] : ( X0 > set(X0) > X0 > set(X0) > set(X0) ) ).
thf(func_def_169,type,
sK95:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 > set(X0) > X0 ) ).
thf(func_def_170,type,
sK96:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_171,type,
sK97:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_172,type,
sK98:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_173,type,
sK99:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_174,type,
sK100:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_175,type,
sK101:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_176,type,
sK102:
!>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).
thf(func_def_177,type,
sK103:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_178,type,
sK104:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_179,type,
sK105:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_180,type,
sK106:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f78942,plain,
$false,
inference(subsumption_resolution,[],[f78941,f1995]) ).
thf(f1995,plain,
t != rBT_Im418718756_Empty(a,b),
inference(subsumption_resolution,[],[f1094,f1085]) ).
thf(f1085,plain,
thesis != $true,
inference(cnf_transformation,[],[f690]) ).
thf(f690,plain,
thesis != $true,
inference(flattening,[],[f289]) ).
thf(f289,plain,
thesis != $true,
inference(fool_elimination,[],[f288]) ).
thf(f288,plain,
~ thesis,
inference(rectify,[],[f285]) ).
thf(f285,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f284]) ).
thf(f284,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
thf(f1094,plain,
( ( thesis = $true )
| ( t != rBT_Im418718756_Empty(a,b) ) ),
inference(cnf_transformation,[],[f793]) ).
thf(f793,plain,
( ( thesis = $true )
| ( t != rBT_Im418718756_Empty(a,b) ) ),
inference(ennf_transformation,[],[f295]) ).
thf(f295,plain,
( ( t = rBT_Im418718756_Empty(a,b) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f294]) ).
thf(f294,plain,
( ( t = rBT_Im418718756_Empty(a,b) )
=> thesis ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( t = rBT_Im418718756_Empty(a,b) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Empty) ).
thf(f78941,plain,
t = rBT_Im418718756_Empty(a,b),
inference(subsumption_resolution,[],[f78697,f1993]) ).
thf(f1993,plain,
! [X2: b,X3: rBT_Im246033960le_rbt(a,b),X0: rBT_Im246033960le_rbt(a,b),X1: a] : ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X0),X1),X2),X3) ),
inference(subsumption_resolution,[],[f1086,f1085]) ).
thf(f1086,plain,
! [X2: b,X3: rBT_Im246033960le_rbt(a,b),X0: rBT_Im246033960le_rbt(a,b),X1: a] :
( ( thesis = $true )
| ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X0),X1),X2),X3) ) ),
inference(cnf_transformation,[],[f791]) ).
thf(f791,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( thesis = $true )
| ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X0),X1),X2),X3) ) ),
inference(ennf_transformation,[],[f291]) ).
thf(f291,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X0),X1),X2),X3) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f290]) ).
thf(f290,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X0),X1),X2),X3) )
=> thesis ),
inference(rectify,[],[f283]) ).
thf(f283,axiom,
! [X146: rBT_Im246033960le_rbt(a,b),X147: a,X107: b,X148: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),X146),X147),X107),X148) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(f78697,plain,
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_B),vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),sK10(b,a),t)),vAPP(rBT_Im246033960le_rbt(a,b),a,sK11(b,a),t)),vAPP(rBT_Im246033960le_rbt(a,b),b,sK12(b,a),t)),vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),sK13(b,a),t)) )
| ( t = rBT_Im418718756_Empty(a,b) ) ),
inference(superposition,[],[f1196,f78379]) ).
thf(f78379,plain,
rBT_Impl_Mirabelle_B = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im1923302023_color,sK9(b,a),t),
inference(subsumption_resolution,[],[f78378,f1995]) ).
thf(f78378,plain,
( ( rBT_Impl_Mirabelle_B = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im1923302023_color,sK9(b,a),t) )
| ( t = rBT_Im418718756_Empty(a,b) ) ),
inference(equality_resolution,[],[f78329]) ).
thf(f78329,plain,
! [X0: rBT_Im246033960le_rbt(a,b)] :
( ( t != X0 )
| ( rBT_Impl_Mirabelle_B = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im1923302023_color,sK9(b,a),X0) )
| ( rBT_Im418718756_Empty(a,b) = X0 ) ),
inference(superposition,[],[f2302,f1196]) ).
thf(f2302,plain,
! [X2: a,X3: b,X0: rBT_Im1923302023_color,X1: rBT_Im246033960le_rbt(a,b),X4: rBT_Im246033960le_rbt(a,b)] :
( ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),X0),X1),X2),X3),X4) )
| ( rBT_Impl_Mirabelle_B = X0 ) ),
inference(superposition,[],[f1994,f1110]) ).
thf(f1110,plain,
! [X0: rBT_Im1923302023_color] :
( ( rBT_Impl_Mirabelle_R = X0 )
| ( rBT_Impl_Mirabelle_B = X0 ) ),
inference(cnf_transformation,[],[f794]) ).
thf(f794,plain,
! [X0: rBT_Im1923302023_color] :
( ( rBT_Impl_Mirabelle_B = X0 )
| ( rBT_Impl_Mirabelle_R = X0 ) ),
inference(ennf_transformation,[],[f691]) ).
thf(f691,plain,
! [X0: rBT_Im1923302023_color] :
( ( rBT_Impl_Mirabelle_R != X0 )
=> ( rBT_Impl_Mirabelle_B = X0 ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X28: rBT_Im1923302023_color] :
( ( rBT_Impl_Mirabelle_R != X28 )
=> ( rBT_Impl_Mirabelle_B = X28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_color_Oexhaust) ).
thf(f1994,plain,
! [X2: b,X3: rBT_Im246033960le_rbt(a,b),X0: rBT_Im246033960le_rbt(a,b),X1: a] : ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X0),X1),X2),X3) ),
inference(subsumption_resolution,[],[f1087,f1085]) ).
thf(f1087,plain,
! [X2: b,X3: rBT_Im246033960le_rbt(a,b),X0: rBT_Im246033960le_rbt(a,b),X1: a] :
( ( thesis = $true )
| ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X0),X1),X2),X3) ) ),
inference(cnf_transformation,[],[f792]) ).
thf(f792,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( thesis = $true )
| ( t != vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X0),X1),X2),X3) ) ),
inference(ennf_transformation,[],[f293]) ).
thf(f293,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X0),X1),X2),X3) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f292]) ).
thf(f292,plain,
! [X0: rBT_Im246033960le_rbt(a,b),X1: a,X2: b,X3: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X0),X1),X2),X3) )
=> thesis ),
inference(rectify,[],[f282]) ).
thf(f282,axiom,
! [X146: rBT_Im246033960le_rbt(a,b),X147: a,X107: b,X148: rBT_Im246033960le_rbt(a,b)] :
( ( t = vAPP(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b),vAPP(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)),vAPP(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))),vAPP(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(a,b),sTfun(a,sTfun(b,sTfun(rBT_Im246033960le_rbt(a,b),rBT_Im246033960le_rbt(a,b))))),rBT_Im480247531Branch(a,b),rBT_Impl_Mirabelle_R),X146),X147),X107),X148) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f1196,plain,
! [X1: $tType,X0: $tType,X2: rBT_Im246033960le_rbt(X1,X0)] :
( ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im1923302023_color,sK9(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK10(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X1,sK11(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X0,sK12(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK13(X0,X1),X2)) = X2 )
| ( rBT_Im418718756_Empty(X1,X0) = X2 ) ),
inference(cnf_transformation,[],[f978]) ).
thf(f978,plain,
! [X0: $tType,X1: $tType,X2: rBT_Im246033960le_rbt(X1,X0)] :
( ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im1923302023_color,sK9(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK10(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X1,sK11(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X0,sK12(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK13(X0,X1),X2)) = X2 )
| ( rBT_Im418718756_Empty(X1,X0) = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f828,f977]) ).
thf(f977,plain,
! [X1: $tType,X0: $tType,X2: rBT_Im246033960le_rbt(X1,X0)] :
( ? [X3: rBT_Im1923302023_color,X4: rBT_Im246033960le_rbt(X1,X0),X5: X1,X6: X0,X7: rBT_Im246033960le_rbt(X1,X0)] : ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),X3),X4),X5),X6),X7) = X2 )
=> ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im1923302023_color,sK9(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK10(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X1,sK11(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),X0,sK12(X0,X1),X2)),vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),sK13(X0,X1),X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
thf(f828,plain,
! [X0: $tType,X1: $tType,X2: rBT_Im246033960le_rbt(X1,X0)] :
( ? [X3: rBT_Im1923302023_color,X4: rBT_Im246033960le_rbt(X1,X0),X5: X1,X6: X0,X7: rBT_Im246033960le_rbt(X1,X0)] : ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),X3),X4),X5),X6),X7) = X2 )
| ( rBT_Im418718756_Empty(X1,X0) = X2 ) ),
inference(ennf_transformation,[],[f718]) ).
thf(f718,plain,
! [X0: $tType,X1: $tType,X2: rBT_Im246033960le_rbt(X1,X0)] :
( ( rBT_Im418718756_Empty(X1,X0) != X2 )
=> ~ ! [X3: rBT_Im1923302023_color,X4: rBT_Im246033960le_rbt(X1,X0),X5: X1,X6: X0,X7: rBT_Im246033960le_rbt(X1,X0)] : ( vAPP(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0),vAPP(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)),vAPP(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))),vAPP(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X1,X0),sTfun(X1,sTfun(X0,sTfun(rBT_Im246033960le_rbt(X1,X0),rBT_Im246033960le_rbt(X1,X0))))),rBT_Im480247531Branch(X1,X0),X3),X4),X5),X6),X7) != X2 ) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
! [X2: $tType,X0: $tType,X28: rBT_Im246033960le_rbt(X0,X2)] :
( ( rBT_Im418718756_Empty(X0,X2) != X28 )
=> ~ ! [X29: rBT_Im1923302023_color,X30: rBT_Im246033960le_rbt(X0,X2),X31: X0,X32: X2,X33: rBT_Im246033960le_rbt(X0,X2)] : ( vAPP(rBT_Im246033960le_rbt(X0,X2),rBT_Im246033960le_rbt(X0,X2),vAPP(X2,sTfun(rBT_Im246033960le_rbt(X0,X2),rBT_Im246033960le_rbt(X0,X2)),vAPP(X0,sTfun(X2,sTfun(rBT_Im246033960le_rbt(X0,X2),rBT_Im246033960le_rbt(X0,X2))),vAPP(rBT_Im246033960le_rbt(X0,X2),sTfun(X0,sTfun(X2,sTfun(rBT_Im246033960le_rbt(X0,X2),rBT_Im246033960le_rbt(X0,X2)))),vAPP(rBT_Im1923302023_color,sTfun(rBT_Im246033960le_rbt(X0,X2),sTfun(X0,sTfun(X2,sTfun(rBT_Im246033960le_rbt(X0,X2),rBT_Im246033960le_rbt(X0,X2))))),rBT_Im480247531Branch(X0,X2),X29),X30),X31),X32),X33) != X28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_rbt_Oexhaust) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT229^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 23:26:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (4250)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (4253)WARNING: value z3 for option sas not known
% 0.21/0.39 % (4251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (4254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (4252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (4255)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)
% 0.21/0.39 % (4256)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)
% 0.21/0.39 % (4253)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)
% 0.21/0.39 % (4257)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)
% 0.21/0.43 % (4257)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.44 % Exception at run slice level
% 0.21/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.44 % Exception at run slice level
% 0.21/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.45 % Exception at run slice level
% 0.21/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.46 % (4258)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.46 % (4259)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)
% 0.21/0.47 % (4260)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)
% 0.21/0.50 % (4259)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.50 % (4258)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.13/0.52 % Exception at run slice level
% 1.13/0.52 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.13/0.53 % (4261)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)
% 201.23/29.09 % (4260)First to succeed.
% 201.23/29.09 % (4260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4250"
% 201.23/29.10 % (4260)Refutation found. Thanks to Tanya!
% 201.23/29.10 % SZS status Theorem for theBenchmark
% 201.23/29.10 % SZS output start Proof for theBenchmark
% See solution above
% 201.23/29.10 % (4260)------------------------------
% 201.23/29.10 % (4260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 201.23/29.10 % (4260)Termination reason: Refutation
% 201.23/29.10
% 201.23/29.10 % (4260)Memory used [KB]: 26683
% 201.23/29.10 % (4260)Time elapsed: 28.623 s
% 201.23/29.10 % (4260)Instructions burned: 140234 (million)
% 201.23/29.10 % (4250)Success in time 28.462 s
%------------------------------------------------------------------------------