TSTP Solution File: ITP046^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP046^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:48:42 EDT 2024
% Result : Theorem 3.19s 0.94s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 412
% Syntax : Number of formulae : 457 ( 31 unt; 401 typ; 0 def)
% Number of atoms : 306 ( 74 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 61 ( 35 ~; 19 |; 0 &; 0 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 36 ( 35 usr)
% Number of type conns : 1169 (1168 >; 1 *; 0 +; 0 <<)
% Number of symbols : 337 ( 334 usr; 31 con; 0-7 aty)
% Number of variables : 65 ( 0 ^ 48 !; 2 ?; 65 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
l: $tType ).
thf(type_def_6,type,
option_val_r_l_v: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
const: $tType ).
thf(type_def_9,type,
produc1156025366_r_l_v: $tType ).
thf(type_def_10,type,
set_l: $tType ).
thf(type_def_11,type,
expr_r_l_v: $tType ).
thf(type_def_12,type,
val_r_l_v: $tType ).
thf(type_def_13,type,
cntxt_r_l_v: $tType ).
thf(type_def_14,type,
r: $tType ).
thf(type_def_15,type,
v: $tType ).
thf(type_def_16,type,
option1457017436_r_l_v: $tType ).
thf(type_def_17,type,
set_Pr1409704485_r_l_v: $tType ).
thf(type_def_18,type,
set_option_l: $tType ).
thf(type_def_19,type,
set_option_r: $tType ).
thf(type_def_20,type,
set_Product_prod_l_l: $tType ).
thf(type_def_21,type,
set_Product_prod_l_r: $tType ).
thf(type_def_22,type,
set_Product_prod_r_l: $tType ).
thf(type_def_23,type,
set_Product_prod_r_r: $tType ).
thf(type_def_24,type,
set_set_set_l: $tType ).
thf(type_def_25,type,
set_set_set_r: $tType ).
thf(type_def_26,type,
set_set_Sum_sum_l_l: $tType ).
thf(type_def_27,type,
set_set_Sum_sum_l_r: $tType ).
thf(type_def_28,type,
set_set_Sum_sum_r_l: $tType ).
thf(type_def_29,type,
set_set_l: $tType ).
thf(type_def_30,type,
set_set_r: $tType ).
thf(type_def_31,type,
set_Sum_sum_l_l: $tType ).
thf(type_def_32,type,
set_Sum_sum_l_r: $tType ).
thf(type_def_33,type,
set_Sum_sum_r_l: $tType ).
thf(type_def_34,type,
set_Sum_sum_r_r: $tType ).
thf(type_def_35,type,
set_r: $tType ).
thf(type_def_36,type,
produc1389397445_r_l_v: $tType ).
thf(type_def_37,type,
produc1164766533_r_l_v: $tType ).
thf(type_def_38,type,
sum_sum_l_l: $tType ).
thf(type_def_39,type,
sum_sum_l_r: $tType ).
thf(type_def_40,type,
sum_sum_r_l: $tType ).
thf(func_def_0,type,
set_Pr1409704485_r_l_v: $tType ).
thf(func_def_1,type,
produc1389397445_r_l_v: $tType ).
thf(func_def_2,type,
option1457017436_r_l_v: $tType ).
thf(func_def_3,type,
produc1156025366_r_l_v: $tType ).
thf(func_def_4,type,
produc1164766533_r_l_v: $tType ).
thf(func_def_5,type,
set_set_Sum_sum_r_l: $tType ).
thf(func_def_6,type,
set_set_Sum_sum_l_r: $tType ).
thf(func_def_7,type,
set_set_Sum_sum_l_l: $tType ).
thf(func_def_8,type,
option_val_r_l_v: $tType ).
thf(func_def_9,type,
set_Product_prod_r_r: $tType ).
thf(func_def_10,type,
set_Product_prod_r_l: $tType ).
thf(func_def_11,type,
set_Product_prod_l_r: $tType ).
thf(func_def_12,type,
set_Product_prod_l_l: $tType ).
thf(func_def_13,type,
set_set_set_r: $tType ).
thf(func_def_14,type,
set_set_set_l: $tType ).
thf(func_def_15,type,
set_Sum_sum_r_r: $tType ).
thf(func_def_16,type,
set_Sum_sum_r_l: $tType ).
thf(func_def_17,type,
set_Sum_sum_l_r: $tType ).
thf(func_def_18,type,
set_Sum_sum_l_l: $tType ).
thf(func_def_19,type,
set_option_r: $tType ).
thf(func_def_20,type,
set_option_l: $tType ).
thf(func_def_21,type,
cntxt_r_l_v: $tType ).
thf(func_def_22,type,
set_set_r: $tType ).
thf(func_def_23,type,
set_set_l: $tType ).
thf(func_def_24,type,
expr_r_l_v: $tType ).
thf(func_def_25,type,
sum_sum_r_l: $tType ).
thf(func_def_26,type,
sum_sum_l_r: $tType ).
thf(func_def_27,type,
sum_sum_l_l: $tType ).
thf(func_def_28,type,
val_r_l_v: $tType ).
thf(func_def_29,type,
set_r: $tType ).
thf(func_def_30,type,
set_l: $tType ).
thf(func_def_31,type,
const: $tType ).
thf(func_def_32,type,
v: $tType ).
thf(func_def_33,type,
r: $tType ).
thf(func_def_34,type,
l: $tType ).
thf(func_def_35,type,
combine_l_val_r_l_v: ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_36,type,
f: const ).
thf(func_def_37,type,
t: const ).
thf(func_def_38,type,
unit: const ).
thf(func_def_39,type,
doms_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_40,type,
assign_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_41,type,
ite_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_42,type,
read_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_43,type,
ref_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_44,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_45,type,
rjoin_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_46,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(func_def_47,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_48,type,
cV_r_l_v: const > val_r_l_v ).
thf(func_def_49,type,
loc_l_r_v: l > val_r_l_v ).
thf(func_def_50,type,
rid_r_l_v: r > val_r_l_v ).
thf(func_def_51,type,
execution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > expr_r_l_v > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_52,type,
induct1670415253_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( ( r > option1457017436_r_l_v ) > $o ) > $o ).
thf(func_def_53,type,
maxima311842975_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > expr_r_l_v > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_54,type,
reachable_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_55,type,
steps_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_56,type,
terminates_in_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > expr_r_l_v > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_57,type,
finite2114249848tion_l: set_option_l > $o ).
thf(func_def_58,type,
finite16335230tion_r: set_option_r > $o ).
thf(func_def_59,type,
finite1853159534_r_l_v: set_Pr1409704485_r_l_v > $o ).
thf(func_def_60,type,
finite785973648od_l_l: set_Product_prod_l_l > $o ).
thf(func_def_61,type,
finite835542678od_l_r: set_Product_prod_l_r > $o ).
thf(func_def_62,type,
finite1457622794od_r_l: set_Product_prod_r_l > $o ).
thf(func_def_63,type,
finite1507191824od_r_r: set_Product_prod_r_r > $o ).
thf(func_def_64,type,
finite1256628466_set_l: set_set_set_l > $o ).
thf(func_def_65,type,
finite1651563256_set_r: set_set_set_r > $o ).
thf(func_def_66,type,
finite88277554um_l_l: set_set_Sum_sum_l_l > $o ).
thf(func_def_67,type,
finite483212344um_l_r: set_set_Sum_sum_l_r > $o ).
thf(func_def_68,type,
finite1407742636um_r_l: set_set_Sum_sum_r_l > $o ).
thf(func_def_69,type,
finite_finite_set_l: set_set_l > $o ).
thf(func_def_70,type,
finite_finite_set_r: set_set_r > $o ).
thf(func_def_71,type,
finite1541484284um_l_l: set_Sum_sum_l_l > $o ).
thf(func_def_72,type,
finite1591053314um_l_r: set_Sum_sum_l_r > $o ).
thf(func_def_73,type,
finite65649782um_r_l: set_Sum_sum_r_l > $o ).
thf(func_def_74,type,
finite115218812um_r_r: set_Sum_sum_r_r > $o ).
thf(func_def_75,type,
finite_finite_l: set_l > $o ).
thf(func_def_76,type,
finite_finite_r: set_r > $o ).
thf(func_def_77,type,
fun_up1835647912_r_l_v: ( l > option_val_r_l_v ) > l > option_val_r_l_v > l > option_val_r_l_v ).
thf(func_def_78,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_79,type,
if_option_val_r_l_v: $o > option_val_r_l_v > option_val_r_l_v > option_val_r_l_v ).
thf(func_def_80,type,
if_opt1153928738_r_l_v: $o > option1457017436_r_l_v > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(func_def_81,type,
dom_Pr939617279_r_l_v: ( produc1389397445_r_l_v > option_val_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_82,type,
dom_Pr1162080227_r_l_v: ( produc1389397445_r_l_v > option1457017436_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_83,type,
dom_l_val_r_l_v: ( l > option_val_r_l_v ) > set_l ).
thf(func_def_84,type,
dom_l_45837855_r_l_v: ( l > option1457017436_r_l_v ) > set_l ).
thf(func_def_85,type,
dom_r_val_r_l_v: ( r > option_val_r_l_v ) > set_r ).
thf(func_def_86,type,
dom_r_259548057_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_87,type,
lID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_l ).
thf(func_def_88,type,
lID_L_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_89,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_90,type,
rID_L_l_r_v: produc1156025366_r_l_v > set_r ).
thf(func_def_91,type,
domain87684397_l_r_v: produc1156025366_r_l_v > $o ).
thf(func_def_92,type,
domain1547879849_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_93,type,
revision_step_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_94,type,
revisi1291188644_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_95,type,
subsum148050133_r_l_v: r > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_96,type,
subsum680764357_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_97,type,
none_val_r_l_v: option_val_r_l_v ).
thf(func_def_98,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(func_def_99,type,
some_val_r_l_v: val_r_l_v > option_val_r_l_v ).
thf(func_def_100,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(func_def_101,type,
the_val_r_l_v: option_val_r_l_v > val_r_l_v ).
thf(func_def_102,type,
ord_le2116509289_set_l: set_set_l > set_set_l > $o ).
thf(func_def_103,type,
ord_le363960431_set_r: set_set_r > set_set_r > $o ).
thf(func_def_104,type,
ord_le1122554619um_l_l: set_Sum_sum_l_l > set_Sum_sum_l_l > $o ).
thf(func_def_105,type,
ord_le1517489409um_l_r: set_Sum_sum_l_r > set_Sum_sum_l_r > $o ).
thf(func_def_106,type,
ord_le294536053um_r_l: set_Sum_sum_r_l > set_Sum_sum_r_l > $o ).
thf(func_def_107,type,
ord_less_eq_set_l: set_l > set_l > $o ).
thf(func_def_108,type,
ord_less_eq_set_r: set_r > set_r > $o ).
thf(func_def_109,type,
top_top_set_option_l: set_option_l ).
thf(func_def_110,type,
top_top_set_option_r: set_option_r ).
thf(func_def_111,type,
top_to1238153077_r_l_v: set_Pr1409704485_r_l_v ).
thf(func_def_112,type,
top_to320296343od_l_l: set_Product_prod_l_l ).
thf(func_def_113,type,
top_to715231133od_l_r: set_Product_prod_l_r ).
thf(func_def_114,type,
top_to1639761425od_r_l: set_Product_prod_r_l ).
thf(func_def_115,type,
top_to2034696215od_r_r: set_Product_prod_r_r ).
thf(func_def_116,type,
top_top_set_set_l: set_set_l ).
thf(func_def_117,type,
top_top_set_set_r: set_set_r ).
thf(func_def_118,type,
top_to1010946379um_l_l: set_Sum_sum_l_l ).
thf(func_def_119,type,
top_to1405881169um_l_r: set_Sum_sum_l_r ).
thf(func_def_120,type,
top_to182927813um_r_l: set_Sum_sum_r_l ).
thf(func_def_121,type,
top_to577862603um_r_r: set_Sum_sum_r_r ).
thf(func_def_122,type,
top_top_set_l: set_l ).
thf(func_def_123,type,
top_top_set_r: set_r ).
thf(func_def_124,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(func_def_125,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(func_def_126,type,
produc1175464189_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > produc1389397445_r_l_v ).
thf(func_def_127,type,
eq_states_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_128,type,
collec1978425008_r_l_v: ( produc1389397445_r_l_v > $o ) > set_Pr1409704485_r_l_v ).
thf(func_def_129,type,
collect_set_set_l: ( set_set_l > $o ) > set_set_set_l ).
thf(func_def_130,type,
collect_set_set_r: ( set_set_r > $o ) > set_set_set_r ).
thf(func_def_131,type,
collec1593187440um_l_l: ( set_Sum_sum_l_l > $o ) > set_set_Sum_sum_l_l ).
thf(func_def_132,type,
collec1988122230um_l_r: ( set_Sum_sum_l_r > $o ) > set_set_Sum_sum_l_r ).
thf(func_def_133,type,
collec765168874um_r_l: ( set_Sum_sum_r_l > $o ) > set_set_Sum_sum_r_l ).
thf(func_def_134,type,
collect_set_l: ( set_l > $o ) > set_set_l ).
thf(func_def_135,type,
collect_set_r: ( set_r > $o ) > set_set_r ).
thf(func_def_136,type,
collect_Sum_sum_l_l: ( sum_sum_l_l > $o ) > set_Sum_sum_l_l ).
thf(func_def_137,type,
collect_Sum_sum_l_r: ( sum_sum_l_r > $o ) > set_Sum_sum_l_r ).
thf(func_def_138,type,
collect_Sum_sum_r_l: ( sum_sum_r_l > $o ) > set_Sum_sum_r_l ).
thf(func_def_139,type,
collect_l: ( l > $o ) > set_l ).
thf(func_def_140,type,
collect_r: ( r > $o ) > set_r ).
thf(func_def_141,type,
substitution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > $o ).
thf(func_def_142,type,
transi1323086383_r_l_v: set_Pr1409704485_r_l_v > set_Pr1409704485_r_l_v ).
thf(func_def_143,type,
member1522896238_r_l_v: produc1389397445_r_l_v > set_Pr1409704485_r_l_v > $o ).
thf(func_def_144,type,
member_set_l: set_l > set_set_l > $o ).
thf(func_def_145,type,
member_set_r: set_r > set_set_r > $o ).
thf(func_def_146,type,
member_l: l > set_l > $o ).
thf(func_def_147,type,
member_r: r > set_r > $o ).
thf(func_def_148,type,
e: cntxt_r_l_v ).
thf(func_def_149,type,
e2: cntxt_r_l_v ).
thf(func_def_150,type,
sigma: l > option_val_r_l_v ).
thf(func_def_151,type,
sigma2: l > option_val_r_l_v ).
thf(func_def_152,type,
tau: l > option_val_r_l_v ).
thf(func_def_153,type,
tau2: l > option_val_r_l_v ).
thf(func_def_154,type,
e3: expr_r_l_v ).
thf(func_def_155,type,
e4: expr_r_l_v ).
thf(func_def_156,type,
left_forkee: r ).
thf(func_def_157,type,
r2: r ).
thf(func_def_158,type,
r3: r ).
thf(func_def_159,type,
right_forkee: r ).
thf(func_def_160,type,
s_1: r > option1457017436_r_l_v ).
thf(func_def_161,type,
s_2: r > option1457017436_r_l_v ).
thf(func_def_162,type,
s_22: r > option1457017436_r_l_v ).
thf(func_def_163,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(func_def_167,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_168,type,
vAND: $o > $o > $o ).
thf(func_def_169,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_170,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_171,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_172,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_173,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_174,type,
vOR: $o > $o > $o ).
thf(func_def_175,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_176,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_177,type,
vNOT: $o > $o ).
thf(func_def_178,type,
vIMP: $o > $o > $o ).
thf(func_def_179,type,
sP0: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > $o ).
thf(func_def_180,type,
sP1: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_181,type,
sP2: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > $o ).
thf(func_def_182,type,
sP3: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_183,type,
sP4: option1457017436_r_l_v > ( ( r > option1457017436_r_l_v ) > $o ) > $o ).
thf(func_def_184,type,
sP5: option_val_r_l_v > ( ( l > option_val_r_l_v ) > $o ) > $o ).
thf(func_def_185,type,
sP6: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_186,type,
sP7: r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_187,type,
sK8: option_val_r_l_v > val_r_l_v ).
thf(func_def_188,type,
sK9: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_189,type,
sK10: set_Pr1409704485_r_l_v > produc1389397445_r_l_v ).
thf(func_def_190,type,
sK11: set_r > r ).
thf(func_def_191,type,
sK12: set_l > l ).
thf(func_def_192,type,
sK13: ( r > $o ) > r ).
thf(func_def_193,type,
sK14: ( l > $o ) > l ).
thf(func_def_194,type,
sK15: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_195,type,
sK16: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_196,type,
sK17: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_197,type,
sK18: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_198,type,
sK19: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_199,type,
sK20: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_200,type,
sK21: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_201,type,
sK22: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_202,type,
sK23: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_203,type,
sK24: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_204,type,
sK25: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_205,type,
sK26: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_206,type,
sK27: ( r > option_val_r_l_v ) > r ).
thf(func_def_207,type,
sK28: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_208,type,
sK29: ( l > option_val_r_l_v ) > l ).
thf(func_def_209,type,
sK30: ( l > option1457017436_r_l_v ) > l ).
thf(func_def_210,type,
sK31: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_211,type,
sK32: ( r > option1457017436_r_l_v ) > l ).
thf(func_def_212,type,
sK33: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_213,type,
sK34: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_214,type,
sK35: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_215,type,
sK36: ( produc1389397445_r_l_v > $o ) > ( produc1389397445_r_l_v > $o ) > produc1389397445_r_l_v ).
thf(func_def_216,type,
sK37: ( set_r > $o ) > ( set_r > $o ) > set_r ).
thf(func_def_217,type,
sK38: ( set_l > $o ) > ( set_l > $o ) > set_l ).
thf(func_def_218,type,
sK39: ( l > $o ) > ( l > $o ) > l ).
thf(func_def_219,type,
sK40: ( r > $o ) > ( r > $o ) > r ).
thf(func_def_220,type,
sK41: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_221,type,
sK42: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_222,type,
sK43: ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_223,type,
sK44: set_r > set_set_r > set_r ).
thf(func_def_224,type,
sK45: set_r > set_set_r > set_r ).
thf(func_def_225,type,
sK46: set_l > set_set_l > set_l ).
thf(func_def_226,type,
sK47: set_l > set_set_l > set_l ).
thf(func_def_227,type,
sK48: ( option_val_r_l_v > $o ) > val_r_l_v ).
thf(func_def_228,type,
sK49: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_229,type,
sK50: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_230,type,
sK51: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_231,type,
sK52: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_232,type,
sK53: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_233,type,
sK54: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_234,type,
sK55: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_235,type,
sK56: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_236,type,
sK57: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_237,type,
sK58: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_238,type,
sK59: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_239,type,
sK60: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_240,type,
sK61: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_241,type,
sK62: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_242,type,
sK63: ( r > option1457017436_r_l_v ) > l ).
thf(func_def_243,type,
sK64: ( produc1389397445_r_l_v > option_val_r_l_v ) > produc1389397445_r_l_v > val_r_l_v ).
thf(func_def_244,type,
sK65: ( produc1389397445_r_l_v > option1457017436_r_l_v ) > produc1389397445_r_l_v > produc1156025366_r_l_v ).
thf(func_def_245,type,
sK66: ( r > option_val_r_l_v ) > r > val_r_l_v ).
thf(func_def_246,type,
sK67: ( r > option1457017436_r_l_v ) > r > produc1156025366_r_l_v ).
thf(func_def_247,type,
sK68: ( l > option_val_r_l_v ) > l > val_r_l_v ).
thf(func_def_248,type,
sK69: ( l > option1457017436_r_l_v ) > l > produc1156025366_r_l_v ).
thf(func_def_249,type,
sK70: ( r > option1457017436_r_l_v ) > l > r ).
thf(func_def_250,type,
sK71: ( r > option1457017436_r_l_v ) > l > produc1156025366_r_l_v ).
thf(func_def_251,type,
sK72: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r ).
thf(func_def_252,type,
sK73: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_253,type,
sK74: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_254,type,
sK75: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > val_r_l_v ).
thf(func_def_255,type,
sK76: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_256,type,
sK77: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > produc1156025366_r_l_v ).
thf(func_def_257,type,
sK78: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_258,type,
sK79: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_259,type,
sK80: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_260,type,
sK81: ( produc1389397445_r_l_v > r > $o ) > set_r > set_Pr1409704485_r_l_v > r ).
thf(func_def_261,type,
sK82: ( produc1389397445_r_l_v > r > $o ) > set_r > set_Pr1409704485_r_l_v > produc1389397445_r_l_v ).
thf(func_def_262,type,
sK83: ( produc1389397445_r_l_v > l > $o ) > set_l > set_Pr1409704485_r_l_v > l ).
thf(func_def_263,type,
sK84: ( produc1389397445_r_l_v > l > $o ) > set_l > set_Pr1409704485_r_l_v > produc1389397445_r_l_v ).
thf(func_def_264,type,
sK85: ( r > r > $o ) > set_r > set_r > r ).
thf(func_def_265,type,
sK86: ( r > r > $o ) > set_r > set_r > r ).
thf(func_def_266,type,
sK87: ( r > l > $o ) > set_l > set_r > l ).
thf(func_def_267,type,
sK88: ( r > l > $o ) > set_l > set_r > r ).
thf(func_def_268,type,
sK89: ( l > r > $o ) > set_r > set_l > r ).
thf(func_def_269,type,
sK90: ( l > r > $o ) > set_r > set_l > l ).
thf(func_def_270,type,
sK91: ( l > l > $o ) > set_l > set_l > l ).
thf(func_def_271,type,
sK92: ( l > l > $o ) > set_l > set_l > l ).
thf(func_def_272,type,
sK93: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r ).
thf(func_def_273,type,
sK94: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_274,type,
sK95: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_275,type,
sK96: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_276,type,
sK97: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_277,type,
sK98: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_278,type,
sK99: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_279,type,
sK100: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_280,type,
sK101: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_281,type,
sK102: option1457017436_r_l_v > ( ( r > option1457017436_r_l_v ) > $o ) > r ).
thf(func_def_282,type,
sK103: option1457017436_r_l_v > ( ( r > option1457017436_r_l_v ) > $o ) > option1457017436_r_l_v ).
thf(func_def_283,type,
sK104: option1457017436_r_l_v > ( ( r > option1457017436_r_l_v ) > $o ) > r > option1457017436_r_l_v ).
thf(func_def_284,type,
sK105: option_val_r_l_v > ( ( l > option_val_r_l_v ) > $o ) > l ).
thf(func_def_285,type,
sK106: option_val_r_l_v > ( ( l > option_val_r_l_v ) > $o ) > option_val_r_l_v ).
thf(func_def_286,type,
sK107: option_val_r_l_v > ( ( l > option_val_r_l_v ) > $o ) > l > option_val_r_l_v ).
thf(func_def_287,type,
sK108: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_288,type,
sK109: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_289,type,
sK110: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_290,type,
sK111: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_291,type,
sK112: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_292,type,
sK113: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_293,type,
sK114: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_294,type,
sK115: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_295,type,
sK116: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_296,type,
sK117: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_297,type,
sK118: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_298,type,
sK119: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_299,type,
sK120: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_300,type,
sK121: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_301,type,
sK122: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_302,type,
sK123: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_303,type,
sK124: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_304,type,
sK125: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_305,type,
sK126: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_306,type,
sK127: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_307,type,
sK128: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_308,type,
sK129: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_309,type,
sK130: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_310,type,
sK131: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_311,type,
sK132: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_312,type,
sK133: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_313,type,
sK134: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_314,type,
sK135: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_315,type,
sK136: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_316,type,
sK137: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_317,type,
sK138: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_318,type,
sK139: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_319,type,
sK140: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_320,type,
sK141: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_321,type,
sK142: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_322,type,
sK143: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_323,type,
sK144: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_324,type,
sK145: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_325,type,
sK146: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_326,type,
sK147: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_327,type,
sK148: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_328,type,
sK149: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_329,type,
sK150: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_330,type,
sK151: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_331,type,
sK152: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_332,type,
sK153: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_333,type,
sK154: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_334,type,
sK155: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_335,type,
sK156: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_336,type,
sK157: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_337,type,
sK158: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_338,type,
sK159: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_339,type,
sK160: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_340,type,
sK161: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_341,type,
sK162: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_342,type,
sK163: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_343,type,
sK164: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_344,type,
sK165: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_345,type,
sK166: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_346,type,
sK167: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_347,type,
sK168: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_348,type,
sK169: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_349,type,
sK170: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_350,type,
sK171: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_351,type,
sK172: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_352,type,
sK173: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_354,type,
sK175: ( r > option1457017436_r_l_v ) > r > ( l > option_val_r_l_v ) > ( r > option1457017436_r_l_v ) > ( l > option_val_r_l_v ) > val_r_l_v > cntxt_r_l_v > l ).
thf(func_def_355,type,
sK176: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > ( l > option_val_r_l_v ) > cntxt_r_l_v > ( l > option_val_r_l_v ) > expr_r_l_v > r > r ).
thf(func_def_356,type,
sK177: r > val_r_l_v > ( l > option_val_r_l_v ) > ( r > option1457017436_r_l_v ) > cntxt_r_l_v > ( r > option1457017436_r_l_v ) > ( l > option_val_r_l_v ) > l ).
thf(func_def_357,type,
sK178: r > expr_r_l_v > ( l > option_val_r_l_v ) > ( r > option1457017436_r_l_v ) > cntxt_r_l_v > ( r > option1457017436_r_l_v ) > ( l > option_val_r_l_v ) > r ).
thf(func_def_358,type,
sK179: ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_359,type,
sK180: expr_r_l_v > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_360,type,
sK181: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_361,type,
sK182: ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_362,type,
sK183: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_363,type,
sK184: ( r > option1457017436_r_l_v ) > expr_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_364,type,
sK185: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_365,type,
sK186: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_366,type,
sK187: option_val_r_l_v > val_r_l_v ).
thf(func_def_367,type,
sK188: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_368,type,
sK189: option_val_r_l_v > val_r_l_v ).
thf(f3312,plain,
$false,
inference(avatar_sat_refutation,[],[f3302,f3311]) ).
thf(f3311,plain,
~ spl174_68,
inference(avatar_contradiction_clause,[],[f3310]) ).
thf(f3310,plain,
( $false
| ~ spl174_68 ),
inference(trivial_inequality_removal,[],[f3309]) ).
thf(f3309,plain,
( ( vAPP(r,option1457017436_r_l_v,s_2,right_forkee) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) )
| ~ spl174_68 ),
inference(superposition,[],[f3280,f3013]) ).
thf(f3013,plain,
vAPP(r,option1457017436_r_l_v,s_2,right_forkee) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,vAPP(r,option1457017436_r_l_v,s_2,right_forkee))),
inference(backward_demodulation,[],[f2615,f3012]) ).
thf(f3012,plain,
vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4)))) = vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,vAPP(r,option1457017436_r_l_v,s_2,right_forkee)),
inference(subsumption_resolution,[],[f3011,f2886]) ).
thf(f2886,plain,
none_P277133687_r_l_v != vAPP(r,option1457017436_r_l_v,s_2,right_forkee),
inference(superposition,[],[f1642,f2615]) ).
thf(f1642,plain,
! [X0: produc1156025366_r_l_v] : ( none_P277133687_r_l_v != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) ),
inference(cnf_transformation,[],[f927]) ).
thf(f927,plain,
! [X0: produc1156025366_r_l_v] : ( none_P277133687_r_l_v != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) ),
inference(rectify,[],[f78]) ).
thf(f78,axiom,
! [X30: produc1156025366_r_l_v] : ( none_P277133687_r_l_v != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_option_Odistinct_I1_J) ).
thf(f3011,plain,
( ( vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4)))) = vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,vAPP(r,option1457017436_r_l_v,s_2,right_forkee)) )
| ( none_P277133687_r_l_v = vAPP(r,option1457017436_r_l_v,s_2,right_forkee) ) ),
inference(equality_resolution,[],[f3007]) ).
thf(f3007,plain,
! [X0: option1457017436_r_l_v] :
( ( vAPP(r,option1457017436_r_l_v,s_2,right_forkee) != X0 )
| ( vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4)))) = vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,X0) )
| ( none_P277133687_r_l_v = X0 ) ),
inference(superposition,[],[f3001,f1662]) ).
thf(f1662,plain,
! [X0: option1457017436_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,X0)) = X0 )
| ( none_P277133687_r_l_v = X0 ) ),
inference(cnf_transformation,[],[f1398]) ).
thf(f1398,plain,
! [X0: option1457017436_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,X0)) = X0 )
| ( none_P277133687_r_l_v = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f1033,f1397]) ).
thf(f1397,plain,
! [X0: option1457017436_r_l_v] :
( ? [X1: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) = X0 )
=> ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(option1457017436_r_l_v,produc1156025366_r_l_v,sK9,X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
thf(f1033,plain,
! [X0: option1457017436_r_l_v] :
( ? [X1: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) = X0 )
| ( none_P277133687_r_l_v = X0 ) ),
inference(ennf_transformation,[],[f930]) ).
thf(f930,plain,
! [X0: option1457017436_r_l_v] :
( ( none_P277133687_r_l_v != X0 )
=> ~ ! [X1: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) != X0 ) ),
inference(rectify,[],[f74]) ).
thf(f74,axiom,
! [X23: option1457017436_r_l_v] :
( ( none_P277133687_r_l_v != X23 )
=> ~ ! [X47: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X47) != X23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_option_Oexhaust) ).
thf(f3001,plain,
! [X0: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) )
| ( vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4)))) = X0 ) ),
inference(superposition,[],[f2447,f2615]) ).
thf(f2447,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) )
| ( X0 = X1 ) ),
inference(equality_proxy_clausification,[],[f2446]) ).
thf(f2446,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) )
| ( $true = vAPP(produc1156025366_r_l_v,$o,vAPP(produc1156025366_r_l_v,sTfun(produc1156025366_r_l_v,$o),vEQ(produc1156025366_r_l_v),X0),X1) ) ),
inference(equality_proxy_clausification,[],[f2445]) ).
thf(f2445,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] :
( ( $false = vAPP(option1457017436_r_l_v,$o,vAPP(option1457017436_r_l_v,sTfun(option1457017436_r_l_v,$o),vEQ(option1457017436_r_l_v),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0)),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1)) )
| ( $true = vAPP(produc1156025366_r_l_v,$o,vAPP(produc1156025366_r_l_v,sTfun(produc1156025366_r_l_v,$o),vEQ(produc1156025366_r_l_v),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f1714]) ).
thf(f1714,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] : ( vAPP(option1457017436_r_l_v,$o,vAPP(option1457017436_r_l_v,sTfun(option1457017436_r_l_v,$o),vEQ(option1457017436_r_l_v),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0)),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1)) = vAPP(produc1156025366_r_l_v,$o,vAPP(produc1156025366_r_l_v,sTfun(produc1156025366_r_l_v,$o),vEQ(produc1156025366_r_l_v),X0),X1) ),
inference(cnf_transformation,[],[f515]) ).
thf(f515,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] : ( vAPP(option1457017436_r_l_v,$o,vAPP(option1457017436_r_l_v,sTfun(option1457017436_r_l_v,$o),vEQ(option1457017436_r_l_v),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0)),vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1)) = vAPP(produc1156025366_r_l_v,$o,vAPP(produc1156025366_r_l_v,sTfun(produc1156025366_r_l_v,$o),vEQ(produc1156025366_r_l_v),X0),X1) ),
inference(fool_elimination,[],[f514]) ).
thf(f514,plain,
! [X0: produc1156025366_r_l_v,X1: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X1) )
= ( X0 = X1 ) ),
inference(rectify,[],[f37]) ).
thf(f37,axiom,
! [X30: produc1156025366_r_l_v,X31: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X30) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X31) )
= ( X30 = X31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_option_Oinject) ).
thf(f2615,plain,
vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4))))) = vAPP(r,option1457017436_r_l_v,s_2,right_forkee),
inference(forward_demodulation,[],[f2614,f2613]) ).
thf(f2613,plain,
vAPP(r,option1457017436_r_l_v,s_2,right_forkee) = vAPP(r,option1457017436_r_l_v,s_1,right_forkee),
inference(forward_demodulation,[],[f1602,f1589]) ).
thf(f1589,plain,
right_forkee = r3,
inference(cnf_transformation,[],[f922]) ).
thf(f922,plain,
right_forkee = r3,
inference(flattening,[],[f359]) ).
thf(f359,negated_conjecture,
~ ( ( right_forkee != r3 ) ),
inference(negated_conjecture,[],[f358]) ).
thf(f358,conjecture,
right_forkee != r3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f1602,plain,
vAPP(r,option1457017436_r_l_v,s_2,r3) = vAPP(r,option1457017436_r_l_v,s_1,r3),
inference(cnf_transformation,[],[f5]) ).
thf(f5,axiom,
vAPP(r,option1457017436_r_l_v,s_2,r3) = vAPP(r,option1457017436_r_l_v,s_1,r3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_r_H__unchanged__left) ).
thf(f2614,plain,
vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4))))) = vAPP(r,option1457017436_r_l_v,s_1,right_forkee),
inference(forward_demodulation,[],[f1610,f1589]) ).
thf(f1610,plain,
vAPP(r,option1457017436_r_l_v,s_1,r3) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4))))),
inference(cnf_transformation,[],[f7]) ).
thf(f7,axiom,
vAPP(r,option1457017436_r_l_v,s_1,r3) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,vAPP(produc1164766533_r_l_v,produc1156025366_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(produc1164766533_r_l_v,produc1156025366_r_l_v),produc297528454_r_l_v,sigma2),vAPP(expr_r_l_v,produc1164766533_r_l_v,vAPP(sTfun(l,option_val_r_l_v),sTfun(expr_r_l_v,produc1164766533_r_l_v),produc1834103605_r_l_v,tau2),vAPP(expr_r_l_v,expr_r_l_v,vAPP(cntxt_r_l_v,sTfun(expr_r_l_v,expr_r_l_v),plug_r_l_v,e2),vAPP(expr_r_l_v,expr_r_l_v,rfork_r_l_v,e4))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_local_Ofork_I2_J) ).
thf(f3280,plain,
( ! [X0: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) )
| ~ spl174_68 ),
inference(avatar_component_clause,[],[f3279]) ).
thf(f3279,plain,
( spl174_68
<=> ! [X0: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl174_68])]) ).
thf(f3302,plain,
spl174_68,
inference(avatar_split_clause,[],[f3301,f3279]) ).
thf(f3301,plain,
! [X0: produc1156025366_r_l_v] : ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) ),
inference(trivial_inequality_removal,[],[f3300]) ).
thf(f3300,plain,
! [X0: produc1156025366_r_l_v] :
( ( $true = $false )
| ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) ) ),
inference(forward_demodulation,[],[f3295,f3009]) ).
thf(f3009,plain,
vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) = $false,
inference(trivial_inequality_removal,[],[f3008]) ).
thf(f3008,plain,
( ( $true != $true )
| ( vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) = $false ) ),
inference(superposition,[],[f1639,f361]) ).
thf(f361,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f1639,plain,
vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) != $true,
inference(cnf_transformation,[],[f924]) ).
thf(f924,plain,
vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) != $true,
inference(flattening,[],[f415]) ).
thf(f415,plain,
vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) != $true,
inference(fool_elimination,[],[f414]) ).
thf(f414,plain,
~ vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
~ vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_local_Ofork_I3_J) ).
thf(f3295,plain,
! [X0: produc1156025366_r_l_v] :
( ( vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X0) != vAPP(r,option1457017436_r_l_v,s_2,right_forkee) )
| ( vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,right_forkee),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,s_1)) = $true ) ),
inference(superposition,[],[f1829,f2613]) ).
thf(f1829,plain,
! [X2: produc1156025366_r_l_v,X0: r > option1457017436_r_l_v,X1: r] :
( ( vAPP(r,option1457017436_r_l_v,X0,X1) != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X2) )
| ( $true = vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,X1),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,X0)) ) ),
inference(cnf_transformation,[],[f1156]) ).
thf(f1156,plain,
! [X0: r > option1457017436_r_l_v,X1: r,X2: produc1156025366_r_l_v] :
( ( $true = vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,X1),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,X0)) )
| ( vAPP(r,option1457017436_r_l_v,X0,X1) != vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X2) ) ),
inference(ennf_transformation,[],[f673]) ).
thf(f673,plain,
! [X0: r > option1457017436_r_l_v,X1: r,X2: produc1156025366_r_l_v] :
( ( vAPP(r,option1457017436_r_l_v,X0,X1) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X2) )
=> ( $true = vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,X1),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,X0)) ) ),
inference(fool_elimination,[],[f672]) ).
thf(f672,plain,
! [X0: r > option1457017436_r_l_v,X1: r,X2: produc1156025366_r_l_v] :
( ( vAPP(r,option1457017436_r_l_v,X0,X1) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X2) )
=> vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,X1),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,X0)) ),
inference(rectify,[],[f25]) ).
thf(f25,axiom,
! [X2: r > option1457017436_r_l_v,X1: r,X24: produc1156025366_r_l_v] :
( ( vAPP(r,option1457017436_r_l_v,X2,X1) = vAPP(produc1156025366_r_l_v,option1457017436_r_l_v,some_P1807977723_r_l_v,X24) )
=> vAPP(set_r,$o,vAPP(r,sTfun(set_r,$o),member_r,X1),vAPP(sTfun(r,option1457017436_r_l_v),set_r,rID_G_r_l_v,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_RID_092_060_094sub_062GI_I1_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP046^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 17:03:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (10076)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (10079)WARNING: value z3 for option sas not known
% 0.23/0.43 % (10082)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)
% 0.23/0.43 % (10081)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)
% 0.23/0.43 % (10083)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)
% 0.23/0.43 % (10079)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)
% 0.23/0.43 % (10080)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.44 % (10077)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.44 % (10078)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.51 % (10083)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.54 % Exception at run slice level
% 0.23/0.54 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.55 % Exception at run slice level
% 0.23/0.55 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.56 % (10084)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.23/0.57 % (10085)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)
% 0.23/0.58 % Exception at run slice level
% 0.23/0.58 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.45/0.61 % (10086)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 1.57/0.62 % (10085)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.57/0.63 % (10084)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.67/0.66 % Exception at run slice level
% 1.67/0.66 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.67/0.67 % (10087)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)
% 3.13/0.93 % (10086)First to succeed.
% 3.19/0.94 % (10086)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10076"
% 3.19/0.94 % (10086)Refutation found. Thanks to Tanya!
% 3.19/0.94 % SZS status Theorem for theBenchmark
% 3.19/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 3.19/0.94 % (10086)------------------------------
% 3.19/0.94 % (10086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.19/0.94 % (10086)Termination reason: Refutation
% 3.19/0.94
% 3.19/0.94 % (10086)Memory used [KB]: 4321
% 3.19/0.94 % (10086)Time elapsed: 0.333 s
% 3.19/0.94 % (10086)Instructions burned: 707 (million)
% 3.19/0.94 % (10076)Success in time 0.564 s
%------------------------------------------------------------------------------