%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP045^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:29 AM UTC 2026
% Result : Theorem 19.42s 3.11s
% Output : Refutation 19.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 54 unt; 0 typ; 10 def)
% Number of atoms : 354 ( 273 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1090 ( 77 ~; 84 |; 0 &; 919 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 350 ( 347 usr; 28 con; 0-7 aty)
% Number of variables : 204 ( 127 ^; 77 !; 0 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_se888453765_r_l_v: $tType ).
thf(type_def_6,type,
set_Pr1409704485_r_l_v: $tType ).
thf(type_def_7,type,
produc1389397445_r_l_v: $tType ).
thf(type_def_8,type,
option1457017436_r_l_v: $tType ).
thf(type_def_9,type,
produc1156025366_r_l_v: $tType ).
thf(type_def_10,type,
produc1164766533_r_l_v: $tType ).
thf(type_def_11,type,
set_set_option_r: $tType ).
thf(type_def_12,type,
set_set_option_l: $tType ).
thf(type_def_13,type,
option_val_r_l_v: $tType ).
thf(type_def_14,type,
set_set_set_r: $tType ).
thf(type_def_15,type,
set_set_set_l: $tType ).
thf(type_def_16,type,
set_option_r: $tType ).
thf(type_def_17,type,
set_option_l: $tType ).
thf(type_def_18,type,
cntxt_r_l_v: $tType ).
thf(type_def_19,type,
set_set_r: $tType ).
thf(type_def_20,type,
set_set_l: $tType ).
thf(type_def_21,type,
expr_r_l_v: $tType ).
thf(type_def_22,type,
val_r_l_v: $tType ).
thf(type_def_23,type,
option_r: $tType ).
thf(type_def_24,type,
option_l: $tType ).
thf(type_def_25,type,
set_r: $tType ).
thf(type_def_26,type,
set_l: $tType ).
thf(type_def_27,type,
const: $tType ).
thf(type_def_28,type,
v: $tType ).
thf(type_def_29,type,
r: $tType ).
thf(type_def_30,type,
l: $tType ).
thf(type_def_31,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,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_1,type,
f: const ).
thf(func_def_2,type,
t: const ).
thf(func_def_3,type,
unit: const ).
thf(func_def_4,type,
doms_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_5,type,
assign_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_6,type,
ite_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_7,type,
read_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_8,type,
ref_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_9,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_10,type,
rjoin_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_11,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(func_def_12,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_13,type,
cV_r_l_v: const > val_r_l_v ).
thf(func_def_14,type,
loc_l_r_v: l > val_r_l_v ).
thf(func_def_15,type,
rid_r_l_v: r > val_r_l_v ).
thf(func_def_16,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_17,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_18,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_19,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_20,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_21,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_22,type,
finite2114249848tion_l: set_option_l > $o ).
thf(func_def_23,type,
finite16335230tion_r: set_option_r > $o ).
thf(func_def_24,type,
finite1853159534_r_l_v: set_Pr1409704485_r_l_v > $o ).
thf(func_def_25,type,
finite1182752216tion_l: set_set_option_l > $o ).
thf(func_def_26,type,
finite1577687006tion_r: set_set_option_r > $o ).
thf(func_def_27,type,
finite1619243214_r_l_v: set_se888453765_r_l_v > $o ).
thf(func_def_28,type,
finite1256628466_set_l: set_set_set_l > $o ).
thf(func_def_29,type,
finite1651563256_set_r: set_set_set_r > $o ).
thf(func_def_30,type,
finite_finite_set_l: set_set_l > $o ).
thf(func_def_31,type,
finite_finite_set_r: set_set_r > $o ).
thf(func_def_32,type,
finite_finite_l: set_l > $o ).
thf(func_def_33,type,
finite_finite_r: set_r > $o ).
thf(func_def_34,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_35,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_36,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_37,type,
if_opt1153928738_r_l_v: $o > option1457017436_r_l_v > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(func_def_38,type,
dom_Pr939617279_r_l_v: ( produc1389397445_r_l_v > option_val_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_39,type,
dom_Pr1162080227_r_l_v: ( produc1389397445_r_l_v > option1457017436_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_40,type,
dom_l_val_r_l_v: ( l > option_val_r_l_v ) > set_l ).
thf(func_def_41,type,
dom_l_45837855_r_l_v: ( l > option1457017436_r_l_v ) > set_l ).
thf(func_def_42,type,
dom_r_val_r_l_v: ( r > option_val_r_l_v ) > set_r ).
thf(func_def_43,type,
dom_r_259548057_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_44,type,
lID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_l ).
thf(func_def_45,type,
lID_L_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_46,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_47,type,
rID_L_l_r_v: produc1156025366_r_l_v > set_r ).
thf(func_def_48,type,
domain87684397_l_r_v: produc1156025366_r_l_v > $o ).
thf(func_def_49,type,
domain1547879849_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_50,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_51,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_52,type,
subsum148050133_r_l_v: r > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_53,type,
subsum680764357_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_54,type,
none_val_r_l_v: option_val_r_l_v ).
thf(func_def_55,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(func_def_56,type,
some_val_r_l_v: val_r_l_v > option_val_r_l_v ).
thf(func_def_57,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(func_def_58,type,
the_val_r_l_v: option_val_r_l_v > val_r_l_v ).
thf(func_def_59,type,
the_Pr1541010602_r_l_v: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_60,type,
ord_le1506375887tion_l: set_option_l > set_option_l > $o ).
thf(func_def_61,type,
ord_le1901310677tion_r: set_option_r > set_option_r > $o ).
thf(func_def_62,type,
ord_le803113413_r_l_v: set_Pr1409704485_r_l_v > set_Pr1409704485_r_l_v > $o ).
thf(func_def_63,type,
ord_le2116509289_set_l: set_set_l > set_set_l > $o ).
thf(func_def_64,type,
ord_le363960431_set_r: set_set_r > set_set_r > $o ).
thf(func_def_65,type,
ord_less_eq_set_l: set_l > set_l > $o ).
thf(func_def_66,type,
ord_less_eq_set_r: set_r > set_r > $o ).
thf(func_def_67,type,
top_top_set_option_l: set_option_l ).
thf(func_def_68,type,
top_top_set_option_r: set_option_r ).
thf(func_def_69,type,
top_top_set_l: set_l ).
thf(func_def_70,type,
top_top_set_r: set_r ).
thf(func_def_71,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(func_def_72,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(func_def_73,type,
produc1175464189_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > produc1389397445_r_l_v ).
thf(func_def_74,type,
eq_states_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_75,type,
collect_option_l: ( option_l > $o ) > set_option_l ).
thf(func_def_76,type,
collect_option_r: ( option_r > $o ) > set_option_r ).
thf(func_def_77,type,
collec1978425008_r_l_v: ( produc1389397445_r_l_v > $o ) > set_Pr1409704485_r_l_v ).
thf(func_def_78,type,
collect_set_option_l: ( set_option_l > $o ) > set_set_option_l ).
thf(func_def_79,type,
collect_set_option_r: ( set_option_r > $o ) > set_set_option_r ).
thf(func_def_80,type,
collec330370832_r_l_v: ( set_Pr1409704485_r_l_v > $o ) > set_se888453765_r_l_v ).
thf(func_def_81,type,
collect_set_set_l: ( set_set_l > $o ) > set_set_set_l ).
thf(func_def_82,type,
collect_set_set_r: ( set_set_r > $o ) > set_set_set_r ).
thf(func_def_83,type,
collect_set_l: ( set_l > $o ) > set_set_l ).
thf(func_def_84,type,
collect_set_r: ( set_r > $o ) > set_set_r ).
thf(func_def_85,type,
collect_l: ( l > $o ) > set_l ).
thf(func_def_86,type,
collect_r: ( r > $o ) > set_r ).
thf(func_def_87,type,
substitution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > $o ).
thf(func_def_88,type,
transi1323086383_r_l_v: set_Pr1409704485_r_l_v > set_Pr1409704485_r_l_v ).
thf(func_def_89,type,
member_option_l: option_l > set_option_l > $o ).
thf(func_def_90,type,
member_option_r: option_r > set_option_r > $o ).
thf(func_def_91,type,
member1522896238_r_l_v: produc1389397445_r_l_v > set_Pr1409704485_r_l_v > $o ).
thf(func_def_92,type,
member_set_l: set_l > set_set_l > $o ).
thf(func_def_93,type,
member_set_r: set_r > set_set_r > $o ).
thf(func_def_94,type,
member_l: l > set_l > $o ).
thf(func_def_95,type,
member_r: r > set_r > $o ).
thf(func_def_96,type,
e: cntxt_r_l_v ).
thf(func_def_97,type,
sigma: l > option_val_r_l_v ).
thf(func_def_98,type,
tau: l > option_val_r_l_v ).
thf(func_def_99,type,
e2: expr_r_l_v ).
thf(func_def_100,type,
r2: r ).
thf(func_def_101,type,
r3: r ).
thf(func_def_102,type,
r4: r ).
thf(func_def_103,type,
s_1: r > option1457017436_r_l_v ).
thf(func_def_104,type,
s_2: r > option1457017436_r_l_v ).
thf(func_def_105,type,
s_22: r > option1457017436_r_l_v ).
thf(func_def_106,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(func_def_107,type,
x: produc1156025366_r_l_v ).
thf(func_def_111,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_112,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_113,type,
vNOT: $o > $o ).
thf(func_def_114,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_115,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_116,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_117,type,
vAND: $o > $o > $o ).
thf(func_def_118,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_119,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_120,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_121,type,
vOR: $o > $o > $o ).
thf(func_def_122,type,
vIMP: $o > $o > $o ).
thf(func_def_123,type,
sP0: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_124,type,
sP1: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > $o ).
thf(func_def_125,type,
sP2: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_126,type,
sP3: ( 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_127,type,
sP4: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_128,type,
sP5: 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_129,type,
sK6: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_130,type,
sK7: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_131,type,
sK8: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_132,type,
sK9: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_133,type,
sK10: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_134,type,
sK11: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_135,type,
sK12: ( 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_136,type,
sK13: ( 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_137,type,
sK14: ( 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_138,type,
sK15: ( 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_139,type,
sK16: ( 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_140,type,
sK17: ( 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_141,type,
sK18: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_142,type,
sK19: ( option_val_r_l_v > $o ) > val_r_l_v ).
thf(func_def_143,type,
sK20: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_144,type,
sK21: option_val_r_l_v > val_r_l_v ).
thf(func_def_145,type,
sK22: ( l > $o ) > ( l > $o ) > l ).
thf(func_def_146,type,
sK23: ( produc1389397445_r_l_v > $o ) > ( produc1389397445_r_l_v > $o ) > produc1389397445_r_l_v ).
thf(func_def_147,type,
sK24: ( r > $o ) > ( r > $o ) > r ).
thf(func_def_148,type,
sK25: ( set_l > $o ) > ( set_l > $o ) > set_l ).
thf(func_def_149,type,
sK26: ( set_r > $o ) > ( set_r > $o ) > set_r ).
thf(func_def_150,type,
sK27: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_151,type,
sK28: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_152,type,
sK29: ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_153,type,
sK30: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_154,type,
sK31: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_155,type,
sK32: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_156,type,
sK33: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_157,type,
sK34: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_158,type,
sK35: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_159,type,
sK36: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_160,type,
sK37: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_161,type,
sK38: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_162,type,
sK39: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_163,type,
sK40: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_164,type,
sK41: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_165,type,
sK42: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_166,type,
sK43: ( 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_167,type,
sK44: ( 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_168,type,
sK45: 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_169,type,
sK46: 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_170,type,
sK47: ( 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_171,type,
sK48: ( 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_172,type,
sK49: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_173,type,
sK50: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_174,type,
sK51: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_175,type,
sK52: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_176,type,
sK53: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_177,type,
sK54: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_178,type,
sK55: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_179,type,
sK56: ( r > option1457017436_r_l_v ) > r > expr_r_l_v ).
thf(func_def_180,type,
sK57: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r ).
thf(func_def_181,type,
sK58: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_182,type,
sK59: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_183,type,
sK60: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_184,type,
sK61: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_185,type,
sK62: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_186,type,
sK63: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_187,type,
sK64: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_188,type,
sK65: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_189,type,
sK66: ( 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_190,type,
sK67: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_191,type,
sK68: ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_192,type,
sK69: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_193,type,
sK70: r > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_194,type,
sK71: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_195,type,
sK72: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_196,type,
sK73: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_197,type,
sK74: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_198,type,
sK75: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_199,type,
sK76: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_200,type,
sK77: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_201,type,
sK78: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_202,type,
sK79: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_203,type,
sK80: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_204,type,
sK81: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_205,type,
sK82: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_206,type,
sK83: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_207,type,
sK84: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_208,type,
sK85: ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_209,type,
sK86: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_210,type,
sK87: 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_211,type,
sK88: 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_212,type,
sK89: ( 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_213,type,
sK90: ( 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_214,type,
sK91: ( option_r > option_l > $o ) > set_option_l > set_option_r > option_l ).
thf(func_def_215,type,
sK92: ( option_r > option_l > $o ) > set_option_l > set_option_r > option_r ).
thf(func_def_216,type,
sK93: ( option_r > option_r > $o ) > set_option_r > set_option_r > option_r ).
thf(func_def_217,type,
sK94: ( option_r > option_r > $o ) > set_option_r > set_option_r > option_r ).
thf(func_def_218,type,
sK95: ( produc1389397445_r_l_v > r > $o ) > set_r > set_Pr1409704485_r_l_v > r ).
thf(func_def_219,type,
sK96: ( produc1389397445_r_l_v > r > $o ) > set_r > set_Pr1409704485_r_l_v > produc1389397445_r_l_v ).
thf(func_def_220,type,
sK97: ( produc1389397445_r_l_v > l > $o ) > set_l > set_Pr1409704485_r_l_v > l ).
thf(func_def_221,type,
sK98: ( produc1389397445_r_l_v > l > $o ) > set_l > set_Pr1409704485_r_l_v > produc1389397445_r_l_v ).
thf(func_def_222,type,
sK99: ( r > r > $o ) > set_r > set_r > r ).
thf(func_def_223,type,
sK100: ( r > r > $o ) > set_r > set_r > r ).
thf(func_def_224,type,
sK101: ( r > l > $o ) > set_l > set_r > l ).
thf(func_def_225,type,
sK102: ( r > l > $o ) > set_l > set_r > r ).
thf(func_def_226,type,
sK103: ( l > r > $o ) > set_r > set_l > r ).
thf(func_def_227,type,
sK104: ( l > r > $o ) > set_r > set_l > l ).
thf(func_def_228,type,
sK105: ( l > l > $o ) > set_l > set_l > l ).
thf(func_def_229,type,
sK106: ( l > l > $o ) > set_l > set_l > l ).
thf(func_def_230,type,
sK107: ( r > $o ) > r ).
thf(func_def_231,type,
sK108: ( l > $o ) > l ).
thf(func_def_232,type,
sK109: set_r > set_set_r > set_r ).
thf(func_def_233,type,
sK110: set_l > set_set_l > set_l ).
thf(func_def_234,type,
sK111: set_r > set_set_r > set_r ).
thf(func_def_235,type,
sK112: set_l > set_set_l > set_l ).
thf(func_def_236,type,
sK113: ( ( r > option1457017436_r_l_v ) > $o ) > option1457017436_r_l_v > r ).
thf(func_def_237,type,
sK114: ( ( r > option1457017436_r_l_v ) > $o ) > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(func_def_238,type,
sK115: ( ( r > option1457017436_r_l_v ) > $o ) > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_239,type,
sK116: ( ( l > option_val_r_l_v ) > $o ) > option_val_r_l_v > l ).
thf(func_def_240,type,
sK117: ( ( l > option_val_r_l_v ) > $o ) > option_val_r_l_v > option_val_r_l_v ).
thf(func_def_241,type,
sK118: ( ( l > option_val_r_l_v ) > $o ) > option_val_r_l_v > l > option_val_r_l_v ).
thf(func_def_242,type,
sK119: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_243,type,
sK120: ( r > option1457017436_r_l_v ) > l ).
thf(func_def_244,type,
sK121: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_245,type,
sK122: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_246,type,
sK123: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_247,type,
sK124: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_248,type,
sK125: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_249,type,
sK126: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_250,type,
sK127: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_251,type,
sK128: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_252,type,
sK129: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_253,type,
sK130: ( r > option1457017436_r_l_v ) > l ).
thf(func_def_254,type,
sK131: ( r > option1457017436_r_l_v ) > l > r ).
thf(func_def_255,type,
sK132: ( r > option1457017436_r_l_v ) > l > produc1156025366_r_l_v ).
thf(func_def_256,type,
sK133: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_257,type,
sK134: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_258,type,
sK135: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_259,type,
sK136: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_260,type,
sK137: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_261,type,
sK138: ( r > option1457017436_r_l_v ) > r > l > option_val_r_l_v ).
thf(func_def_262,type,
sK139: ( r > option1457017436_r_l_v ) > r > cntxt_r_l_v ).
thf(func_def_263,type,
sK140: ( r > option1457017436_r_l_v ) > r > val_r_l_v ).
thf(func_def_264,type,
sK141: ( r > option1457017436_r_l_v ) > r > produc1156025366_r_l_v ).
thf(func_def_265,type,
sK142: ( produc1389397445_r_l_v > option1457017436_r_l_v ) > produc1389397445_r_l_v > produc1156025366_r_l_v ).
thf(func_def_266,type,
sK143: ( l > option1457017436_r_l_v ) > l > produc1156025366_r_l_v ).
thf(func_def_267,type,
sK144: ( r > option_val_r_l_v ) > r > val_r_l_v ).
thf(func_def_268,type,
sK145: ( produc1389397445_r_l_v > option_val_r_l_v ) > produc1389397445_r_l_v > val_r_l_v ).
thf(func_def_269,type,
sK146: ( l > option_val_r_l_v ) > l > val_r_l_v ).
thf(func_def_270,type,
sK147: ( r > option_val_r_l_v ) > r ).
thf(func_def_271,type,
sK148: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_272,type,
sK149: ( l > option_val_r_l_v ) > l ).
thf(func_def_273,type,
sK150: ( l > option1457017436_r_l_v ) > l ).
thf(func_def_274,type,
sK151: ( r > option1457017436_r_l_v ) > r > r ).
thf(func_def_275,type,
sK152: ( r > option1457017436_r_l_v ) > r > produc1156025366_r_l_v ).
thf(func_def_276,type,
sF153: val_r_l_v ).
thf(func_def_277,type,
sF154: expr_r_l_v ).
thf(func_def_278,type,
sF155: expr_r_l_v ).
thf(func_def_279,type,
sF156: produc1164766533_r_l_v ).
thf(func_def_280,type,
sF157: produc1156025366_r_l_v ).
thf(func_def_281,type,
sF158: option1457017436_r_l_v ).
thf(func_def_282,type,
sF159: produc1164766533_r_l_v ).
thf(func_def_283,type,
sF160: produc1156025366_r_l_v ).
thf(func_def_284,type,
sF161: option1457017436_r_l_v ).
thf(func_def_285,type,
sF162: option1457017436_r_l_v ).
thf(func_def_286,type,
sK163: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_287,type,
sK164: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_288,type,
sK165: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_289,type,
sK166: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_290,type,
sK167: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_291,type,
sK168: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_292,type,
sK169: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_293,type,
sK170: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_294,type,
sK171: ( 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_295,type,
sK172: 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_296,type,
sK173: 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_297,type,
sK174: ( r > option1457017436_r_l_v ) > expr_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_298,type,
sK175: ( 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_299,type,
sK176: ( 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_300,type,
sK177: ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > expr_r_l_v ).
thf(func_def_301,type,
sK178: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_302,type,
sK179: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_303,type,
sK180: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_304,type,
sK181: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_305,type,
sK182: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_306,type,
sK183: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_307,type,
sK184: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_308,type,
sK185: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_309,type,
sK186: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_310,type,
sK187: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_311,type,
sK188: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_312,type,
sK189: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_313,type,
sK190: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_314,type,
sK191: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_315,type,
sK192: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_316,type,
sK193: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_317,type,
sK194: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_318,type,
sK195: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_319,type,
sK196: ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v ).
thf(func_def_320,type,
sK197: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_321,type,
sK198: ( r > option1457017436_r_l_v ) > r ).
thf(func_def_322,type,
sK199: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_323,type,
sK200: ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_324,type,
sK201: ( 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_325,type,
sK202: 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_326,type,
sK203: option_val_r_l_v > val_r_l_v ).
thf(func_def_327,type,
sK204: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_328,type,
sK205: option_val_r_l_v > val_r_l_v ).
thf(func_def_329,type,
sK206: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_330,type,
sK207: r ).
thf(func_def_331,type,
sK208: l > ( l > option_val_r_l_v ) > val_r_l_v > l ).
thf(func_def_332,type,
sK209: r > ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v > r ).
thf(func_def_333,type,
sK210: ( option_val_r_l_v > $o ) > val_r_l_v ).
thf(func_def_334,type,
sK211: ( option_val_r_l_v > $o ) > option_val_r_l_v ).
thf(func_def_335,type,
sK212: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_336,type,
sK213: ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(func_def_337,type,
sK214: ( option_val_r_l_v > $o ) > option_val_r_l_v ).
thf(func_def_338,type,
sK215: ( option_val_r_l_v > $o ) > val_r_l_v ).
thf(func_def_339,type,
sK216: ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(func_def_340,type,
sK217: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_341,type,
sK218: l > option_val_r_l_v > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > option_val_r_l_v > l ).
thf(func_def_342,type,
sK219: r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > option1457017436_r_l_v > option1457017436_r_l_v > r ).
thf(func_def_343,type,
sK220: l > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > val_r_l_v > val_r_l_v > l ).
thf(func_def_344,type,
sK221: r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v > produc1156025366_r_l_v > r ).
thf(func_def_345,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_346,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_347,type,
sK222: option1457017436_r_l_v > option1457017436_r_l_v > ( r > option1457017436_r_l_v ) > r ).
thf(func_def_348,type,
sK223: ( r > l > option_val_r_l_v ) > l ).
thf(f2,axiom,
r2 != r4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I7_J) ).
thf(f3,axiom,
r2 != r3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_assms_I6_J) ).
thf(f30,axiom,
( fun_up709272714_r_l_v
= ( ^ [X0: r > option1457017436_r_l_v,X1: r,X2: option1457017436_r_l_v,X3: r] : ( if_opt1153928738_r_l_v @ ( X3 = X1 ) @ X2 @ ( X0 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_fun__upd__apply) ).
thf(f43,axiom,
! [X0: r,X1: r,X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v] :
( ( X0 != X1 )
=> ( ( fun_up709272714_r_l_v @ X2 @ X1 @ X3 @ X0 )
= ( X2 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_fun__upd__other) ).
thf(f92,axiom,
( combine_l_val_r_l_v
= ( ^ [X0: l > option_val_r_l_v,X1: l > option_val_r_l_v,X2: l] :
( if_option_val_r_l_v
@ ( ( X1 @ X2 )
= none_val_r_l_v )
@ ( X0 @ X2 )
@ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_combine_Osimps) ).
thf(f217,axiom,
! [X0: const > $o,X1: const] :
( ( X0 @ unit )
=> ( ( X0 @ f )
=> ( ( X0 @ t )
=> ( X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_const_Oinduct) ).
thf(f356,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T) ).
thf(f357,axiom,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $false @ X0 @ X1 )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T) ).
thf(f358,axiom,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $true @ X0 @ X1 )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T) ).
thf(f359,conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f388,plain,
( fun_up709272714_r_l_v
= ( ^ [X0: r > option1457017436_r_l_v,X1: r,X2: option1457017436_r_l_v,X3: r] : ( if_opt1153928738_r_l_v @ ( X3 = X1 ) @ X2 @ ( X0 @ X3 ) ) ) ),
inference(rectify,[],[f30]) ).
thf(f389,plain,
( fun_up709272714_r_l_v
= ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) ) ) ),
inference(fool_elimination,[],[f388]) ).
thf(f443,plain,
( combine_l_val_r_l_v
= ( ^ [X0: l > option_val_r_l_v,X1: l > option_val_r_l_v,X2: l] :
( if_option_val_r_l_v
@ ( ( X1 @ X2 )
= none_val_r_l_v )
@ ( X0 @ X2 )
@ ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f92]) ).
thf(f444,plain,
( combine_l_val_r_l_v
= ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f443]) ).
thf(f650,plain,
! [X0: const > $o,X1: const] :
( ( X0 @ unit )
=> ( ( X0 @ f )
=> ( ( X0 @ t )
=> ( X0 @ X1 ) ) ) ),
inference(rectify,[],[f217]) ).
thf(f651,plain,
! [X0: const > $o,X1: const] :
( ( ( X0 @ unit )
= $true )
=> ( ( ( X0 @ f )
= $true )
=> ( ( ( X0 @ t )
= $true )
=> ( ( X0 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f650]) ).
thf(f863,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f356]) ).
thf(f864,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $false @ X0 @ X1 )
= X1 ),
inference(rectify,[],[f357]) ).
thf(f865,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $false @ X0 @ X1 )
= X1 ),
inference(fool_elimination,[],[f864]) ).
thf(f866,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $true @ X0 @ X1 )
= X0 ),
inference(rectify,[],[f358]) ).
thf(f867,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $true @ X0 @ X1 )
= X0 ),
inference(fool_elimination,[],[f866]) ).
thf(f868,plain,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X1: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(rectify,[],[f360]) ).
thf(f869,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(fool_elimination,[],[f868]) ).
thf(f907,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(flattening,[],[f869]) ).
thf(f922,plain,
! [X0: r,X1: r,X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ X2 @ X1 @ X3 @ X0 )
= ( X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f43]) ).
thf(f1100,plain,
! [X0: const > $o,X1: const] :
( ( ( X0 @ X1 )
= $true )
| ( ( X0 @ t )
!= $true )
| ( ( X0 @ f )
!= $true )
| ( ( X0 @ unit )
!= $true ) ),
inference(ennf_transformation,[],[f651]) ).
thf(f1101,plain,
! [X0: const > $o,X1: const] :
( ( ( X0 @ X1 )
= $true )
| ( ( X0 @ t )
!= $true )
| ( ( X0 @ f )
!= $true )
| ( ( X0 @ unit )
!= $true ) ),
inference(flattening,[],[f1100]) ).
thf(f1365,plain,
r4 != r2,
inference(cnf_transformation,[],[f2]) ).
thf(f1366,plain,
r2 != r3,
inference(cnf_transformation,[],[f3]) ).
thf(f1393,plain,
( fun_up709272714_r_l_v
= ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) ) ) ),
inference(cnf_transformation,[],[f389]) ).
thf(f1406,plain,
! [X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v,X0: r,X1: r] :
( ( ( fun_up709272714_r_l_v @ X2 @ X1 @ X3 @ X0 )
= ( X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f922]) ).
thf(f1479,plain,
( combine_l_val_r_l_v
= ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f444]) ).
thf(f1650,plain,
! [X0: const > $o,X1: const] :
( ( ( X0 @ unit )
!= $true )
| ( ( X0 @ t )
!= $true )
| ( ( X0 @ f )
!= $true )
| ( ( X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f1101]) ).
thf(f1835,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f863]) ).
thf(f1836,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $false @ X0 @ X1 )
= X1 ),
inference(cnf_transformation,[],[f865]) ).
thf(f1837,plain,
! [X0: option1457017436_r_l_v,X1: option1457017436_r_l_v] :
( ( if_opt1153928738_r_l_v @ $true @ X0 @ X1 )
= X0 ),
inference(cnf_transformation,[],[f867]) ).
thf(f1838,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(cnf_transformation,[],[f907]) ).
thf(f1867,plain,
! [X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v,X0: r,X1: r] :
( ( ( X2 @ X0 )
= ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ X2
@ X1
@ X3
@ X0 ) )
| ( X0 = X1 ) ),
inference(definition_unfolding,[],[f1406,f1393]) ).
thf(f1989,plain,
( ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ s_1
@ r3
@ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) )
@ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v
@ ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) )
@ sigma
@ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ s_1
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
@ r3
@ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) )
@ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v
@ ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) )
@ sigma
@ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(definition_unfolding,[],[f1838,f1393,f1393,f1393,f1479,f1393,f1393,f1393,f1479]) ).
thf(f2050,definition,
( sF153
= ( rid_r_l_v @ r4 ) ),
introduced(definition,[new_symbols(definition,[sF153])],[function_definition]) ).
thf(f2051,plain,
( ( rid_r_l_v @ r4 )
= sF153 ),
inference(reorient_equations,[],[f2050]) ).
thf(f2052,definition,
( sF154
= ( vE_r_l_v @ sF153 ) ),
introduced(definition,[new_symbols(definition,[sF154])],[function_definition]) ).
thf(f2053,plain,
( ( vE_r_l_v @ sF153 )
= sF154 ),
inference(reorient_equations,[],[f2052]) ).
thf(f2054,definition,
( sF155
= ( plug_r_l_v @ e @ sF154 ) ),
introduced(definition,[new_symbols(definition,[sF155])],[function_definition]) ).
thf(f2055,plain,
( ( plug_r_l_v @ e @ sF154 )
= sF155 ),
inference(reorient_equations,[],[f2054]) ).
thf(f2056,definition,
( sF156
= ( produc1834103605_r_l_v @ tau @ sF155 ) ),
introduced(definition,[new_symbols(definition,[sF156])],[function_definition]) ).
thf(f2057,plain,
( ( produc1834103605_r_l_v @ tau @ sF155 )
= sF156 ),
inference(reorient_equations,[],[f2056]) ).
thf(f2058,definition,
( sF157
= ( produc297528454_r_l_v @ sigma @ sF156 ) ),
introduced(definition,[new_symbols(definition,[sF157])],[function_definition]) ).
thf(f2059,plain,
( ( produc297528454_r_l_v @ sigma @ sF156 )
= sF157 ),
inference(reorient_equations,[],[f2058]) ).
thf(f2060,definition,
( sF158
= ( some_P1807977723_r_l_v @ sF157 ) ),
introduced(definition,[new_symbols(definition,[sF158])],[function_definition]) ).
thf(f2061,plain,
( ( some_P1807977723_r_l_v @ sF157 )
= sF158 ),
inference(reorient_equations,[],[f2060]) ).
thf(f2062,definition,
( sF159
= ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ),
introduced(definition,[new_symbols(definition,[sF159])],[function_definition]) ).
thf(f2063,plain,
( ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 )
= sF159 ),
inference(reorient_equations,[],[f2062]) ).
thf(f2064,definition,
( sF160
= ( produc297528454_r_l_v
@ ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) )
@ sigma
@ tau )
@ sF159 ) ),
introduced(definition,[new_symbols(definition,[sF160])],[function_definition]) ).
thf(f2065,plain,
( ( produc297528454_r_l_v
@ ( ^ [Y0: l > option_val_r_l_v,Y1: l > option_val_r_l_v,Y2: l] :
( if_option_val_r_l_v
@ ( none_val_r_l_v
= ( Y1 @ Y2 ) )
@ ( Y0 @ Y2 )
@ ( Y1 @ Y2 ) )
@ sigma
@ tau )
@ sF159 )
= sF160 ),
inference(reorient_equations,[],[f2064]) ).
thf(f2066,definition,
( sF161
= ( some_P1807977723_r_l_v @ sF160 ) ),
introduced(definition,[new_symbols(definition,[sF161])],[function_definition]) ).
thf(f2067,plain,
( ( some_P1807977723_r_l_v @ sF160 )
= sF161 ),
inference(reorient_equations,[],[f2066]) ).
thf(f2068,definition,
( sF162
= ( some_P1807977723_r_l_v @ x ) ),
introduced(definition,[new_symbols(definition,[sF162])],[function_definition]) ).
thf(f2069,plain,
( ( some_P1807977723_r_l_v @ x )
= sF162 ),
inference(reorient_equations,[],[f2068]) ).
thf(f2070,plain,
( ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ s_1
@ r3
@ sF158 )
@ r4
@ sF161 )
@ r2
@ sF162 )
!= ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ ( ^ [Y0: r > option1457017436_r_l_v,Y1: r,Y2: option1457017436_r_l_v,Y3: r] : ( if_opt1153928738_r_l_v @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) )
@ s_1
@ r2
@ sF162 )
@ r3
@ sF158 )
@ r4
@ sF161 ) ),
inference(definition_folding,[],[f1989,f2067,f2065,f2063,f2061,f2059,f2057,f2055,f2053,f2051,f2069,f2069,f2067,f2065,f2063,f2061,f2059,f2057,f2055,f2053,f2051]) ).
thf(f2071,plain,
( ( ^ [Y0: r] : ( if_opt1153928738_r_l_v @ ( r2 = Y0 ) @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = Y0 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = Y0 ) @ sF158 @ ( s_1 @ Y0 ) ) ) ) )
!= ( ^ [Y0: r] : ( if_opt1153928738_r_l_v @ ( r4 = Y0 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = Y0 ) @ sF158 @ ( if_opt1153928738_r_l_v @ ( r2 = Y0 ) @ sF162 @ ( s_1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2070]) ).
thf(f2885,plain,
! [X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v,X0: r,X1: r] :
( ( ( X2 @ X0 )
= ( if_opt1153928738_r_l_v @ ( X1 = X0 ) @ X3 @ ( X2 @ X0 ) ) )
| ( X0 = X1 ) ),
inference(beta-eta_normalization,[],[f1867]) ).
thf(f3133,plain,
( ( ^ [Y0: r] : ( if_opt1153928738_r_l_v @ ( r2 = Y0 ) @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = Y0 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = Y0 ) @ sF158 @ ( s_1 @ Y0 ) ) ) )
@ sK207 )
!= ( ^ [Y0: r] : ( if_opt1153928738_r_l_v @ ( r4 = Y0 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = Y0 ) @ sF158 @ ( if_opt1153928738_r_l_v @ ( r2 = Y0 ) @ sF162 @ ( s_1 @ Y0 ) ) ) )
@ sK207 ) ),
inference(negative_extensionality,[],[f2071]) ).
thf(f3134,plain,
( ( if_opt1153928738_r_l_v @ ( r2 = sK207 ) @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ ( r2 = sK207 ) @ sF162 @ ( s_1 @ sK207 ) ) ) ) ),
inference(beta-eta_normalization,[],[f3133]) ).
thf(f3351,plain,
! [X2: const > $o,X1: const] :
( ( $true
!= ( ^ [Y0: const] :
~ ( X2 @ Y0 )
@ unit ) )
| ( $true
!= ( ^ [Y0: const] :
~ ( X2 @ Y0 )
@ t ) )
| ( $true
!= ( ^ [Y0: const] :
~ ( X2 @ Y0 )
@ f ) )
| ( $true
= ( ^ [Y0: const] :
~ ( X2 @ Y0 )
@ X1 ) ) ),
inference(primitive_instantiation,[],[f1650]) ).
thf(f3393,plain,
! [X2: const > $o,X1: const] :
( ( $true
!= ( ~ ( X2 @ unit ) ) )
| ( $true
!= ( ~ ( X2 @ t ) ) )
| ( $true
!= ( ~ ( X2 @ f ) ) )
| ( $true
= ( ~ ( X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f3351]) ).
thf(f3394,plain,
! [X2: const > $o,X1: const] :
( ( $true
= ( X2 @ unit ) )
| ( $true
!= ( ~ ( X2 @ t ) ) )
| ( $true
!= ( ~ ( X2 @ f ) ) )
| ( $true
= ( ~ ( X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f3393]) ).
thf(f3395,plain,
! [X2: const > $o,X1: const] :
( ( $true
= ( X2 @ unit ) )
| ( $true
= ( X2 @ t ) )
| ( $true
!= ( ~ ( X2 @ f ) ) )
| ( $true
= ( ~ ( X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f3394]) ).
thf(f3396,plain,
! [X2: const > $o,X1: const] :
( ( $true
= ( X2 @ unit ) )
| ( $true
= ( X2 @ t ) )
| ( $true
= ( X2 @ f ) )
| ( $true
= ( ~ ( X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f3395]) ).
thf(f3397,plain,
! [X2: const > $o,X1: const] :
( ( $true
= ( X2 @ t ) )
| ( $false
= ( X2 @ X1 ) )
| ( $true
= ( X2 @ f ) )
| ( $true
= ( X2 @ unit ) ) ),
inference(not_proxy_clausification,[],[f3396]) ).
thf(f14942,plain,
( ( ( if_opt1153928738_r_l_v @ $true @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $true @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( $false
= ( r2 = sK207 ) ) ),
inference(constrained_superposition,[],[f3134,f1835]) ).
thf(f14964,plain,
( ( ( if_opt1153928738_r_l_v @ $true @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $true @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( r2 != sK207 ) ),
inference(equality_proxy_clausification,[],[f14942]) ).
thf(f14981,plain,
( ( ( if_opt1153928738_r_l_v @ $true @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ sF162 ) ) )
| ( r2 != sK207 ) ),
inference(forward_demodulation,[],[f14964,f1837]) ).
thf(f14990,plain,
( ( sF162
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ sF162 ) ) )
| ( r2 != sK207 ) ),
inference(forward_demodulation,[],[f14981,f1837]) ).
thf(f15013,plain,
( ( sF162
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161
@ ( ^ [Y0: r] : sF162
@ sK207 ) ) )
| ( r2 != sK207 )
| ( r3 = sK207 ) ),
inference(constrained_superposition,[],[f14990,f2885]) ).
thf(f15027,plain,
( ( sF162
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ sF162 ) )
| ( r2 != sK207 )
| ( r3 = sK207 ) ),
inference(beta-eta_normalization,[],[f15013]) ).
thf(f15041,plain,
( ( sF162
!= ( ^ [Y0: r] : sF162
@ sK207 ) )
| ( r2 != sK207 )
| ( r3 = sK207 )
| ( r4 = sK207 ) ),
inference(constrained_superposition,[],[f15027,f2885]) ).
thf(f15042,plain,
( ( sF162 != sF162 )
| ( r2 != sK207 )
| ( r3 = sK207 )
| ( r4 = sK207 ) ),
inference(beta-eta_normalization,[],[f15041]) ).
thf(f15043,plain,
( ( r2 != sK207 )
| ( r3 = sK207 )
| ( r4 = sK207 ) ),
inference(trivial_inequality_removal,[],[f15042]) ).
thf(f18658,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( $true
= ( ^ [Y0: const] :
( ( X0 @ Y0 )
= ( ^ [Y1: const] : sK207
@ Y0 ) )
@ t ) )
| ( $true
= ( ^ [Y0: const] :
( ( X0 @ Y0 )
= ( ^ [Y1: const] : sK207
@ Y0 ) )
@ f ) )
| ( $true
= ( ^ [Y0: const] :
( ( X0 @ Y0 )
= ( ^ [Y1: const] : sK207
@ Y0 ) )
@ unit ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f3134,f3397]) ).
thf(f18864,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( $true
= ( ( X0 @ t )
= sK207 ) )
| ( $true
= ( ( X0 @ f )
= sK207 ) )
| ( $true
= ( ( X0 @ unit )
= sK207 ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f18658]) ).
thf(f18865,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( sK207
= ( X0 @ t ) )
| ( $true
= ( ( X0 @ f )
= sK207 ) )
| ( $true
= ( ( X0 @ unit )
= sK207 ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f18864]) ).
thf(f18866,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( sK207
= ( X0 @ t ) )
| ( sK207
= ( X0 @ f ) )
| ( $true
= ( ( X0 @ unit )
= sK207 ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f18865]) ).
thf(f18867,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) )
!= ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( s_1 @ sK207 ) ) ) ) )
| ( sK207
= ( X0 @ t ) )
| ( sK207
= ( X0 @ f ) )
| ( sK207
= ( X0 @ unit ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f18866]) ).
thf(f19756,plain,
! [X0: const > r,X1: const] :
( ( ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) )
!= ( if_opt1153928738_r_l_v @ $false @ sF162 @ ( if_opt1153928738_r_l_v @ ( r4 = sK207 ) @ sF161 @ ( if_opt1153928738_r_l_v @ ( r3 = sK207 ) @ sF158 @ ( s_1 @ sK207 ) ) ) ) )
| ( sK207
= ( X0 @ t ) )
| ( sK207
= ( X0 @ f ) )
| ( sK207
= ( X0 @ unit ) )
| ( r2
!= ( X0 @ X1 ) ) ),
inference(forward_demodulation,[],[f18867,f1836]) ).
thf(f19794,plain,
! [X0: const > r,X1: const] :
( ( r2
!= ( X0 @ X1 ) )
| ( sK207
= ( X0 @ f ) )
| ( sK207
= ( X0 @ unit ) )
| ( sK207
= ( X0 @ t ) ) ),
inference(forward_subsumption_resolution,[],[f19756,f1836]) ).
thf(f19806,plain,
( ( sK207
= ( ^ [Y0: const] : r2
@ f ) )
| ( sK207
= ( ^ [Y0: const] : r2
@ unit ) )
| ( sK207
= ( ^ [Y0: const] : r2
@ t ) ) ),
inference(equality_resolution,[],[f19794]) ).
thf(f19807,plain,
( ( r2 = sK207 )
| ( r2 = sK207 )
| ( r2 = sK207 ) ),
inference(beta-eta_normalization,[],[f19806]) ).
thf(f19808,plain,
r2 = sK207,
inference(duplicate_literal_removal,[],[f19807]) ).
thf(f19836,plain,
( ( r2 != r2 )
| ( r2 = r3 )
| ( r4 = r2 ) ),
inference(constrained_superposition,[],[f15043,f19808]) ).
thf(f19851,plain,
( ( r2 = r3 )
| ( r4 = r2 ) ),
inference(trivial_inequality_removal,[],[f19836]) ).
thf(f19868,plain,
r4 = r2,
inference(forward_subsumption_resolution,[],[f19851,f1366]) ).
thf(f19871,plain,
$false,
inference(forward_subsumption_resolution,[],[f19868,f1365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP045^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 % Computer : n002.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 19:44:08 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 Running first-order model finding
% 0.11/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.07/1.23 % (1753356)Will run a generic schedule for satisfiability detection.
% 6.07/1.23 % (1753373)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4058151184:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.07/1.23 % (1753370)% WARNING: option uhcvi not known.
% 6.07/1.23 % (1753375)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3027903965:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.07/1.23 % (1753372)dis+10_1_sil=32000:sp=arity:random_seed=1340195026:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.07/1.23 % (1753371)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2089408833:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.07/1.23 % (1753370)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1276274743:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.07/1.23 % (1753369)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1037554742_2999 on theBenchmark for (2999ds/0Mi)
% 6.07/1.23 % (1753373)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.07/1.23 % (1753374)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3476231903:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.07/1.23 % (1753373)Instruction limit reached!
% 6.07/1.23 % (1753373)------------------------------
% 6.07/1.23 % (1753373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.23 % (1753373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.23 % (1753373)CaDiCaL version: 2.1.3
% 6.07/1.23 % (1753373)Termination reason: Instruction limit
% 6.07/1.23 % (1753373)Termination phase: Property scanning
% 6.07/1.23 % (1753373)Time elapsed: 0.026 s
% 6.07/1.23 % (1753373)Peak memory usage: 12 MB
% 6.07/1.23 % (1753373)Instructions burned: 117 (million)
% 6.07/1.23 % (1753383)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1980268009:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.07/1.23 % (1753372)Instruction limit reached!
% 6.07/1.23 % (1753372)------------------------------
% 6.07/1.23 % (1753372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.23 % (1753372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.23 % (1753372)CaDiCaL version: 2.1.3
% 6.07/1.23 % (1753372)Termination reason: Instruction limit
% 6.07/1.23 % (1753372)Termination phase: Property scanning
% 6.07/1.23 % (1753372)Time elapsed: 0.045 s
% 6.07/1.23 % (1753372)Peak memory usage: 12 MB
% 6.07/1.23 % (1753372)Instructions burned: 105 (million)
% 6.07/1.23 % (1753370)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.07/1.23 % (1753385)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3636331509:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.07/1.23 % (1753375)Instruction limit reached!
% 6.07/1.23 % (1753375)------------------------------
% 6.07/1.23 % (1753375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.23 % (1753375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.23 % (1753375)CaDiCaL version: 2.1.3
% 6.07/1.23 % (1753375)Termination reason: Instruction limit
% 6.07/1.23 % (1753375)Termination phase: Property scanning
% 6.07/1.23 % (1753375)Time elapsed: 0.069 s
% 6.07/1.23 % (1753375)Peak memory usage: 12 MB
% 6.07/1.23 % (1753375)Instructions burned: 161 (million)
% 6.07/1.23 % Exception at run slice level
% 6.07/1.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.07/1.23 % (1753388)ott-21_1_sil=16000:fs=off:random_seed=633936844:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.07/1.23 % (1753387)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2740263430:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.07/1.23 % Exception at run slice level
% 6.07/1.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.07/1.23 % (1753391)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=390243528:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.07/1.23 % (1753374)Instruction limit reached!
% 6.07/1.23 % (1753374)------------------------------
% 6.07/1.23 % (1753374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753374)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753374)Termination reason: Instruction limit
% 19.42/3.11 % (1753374)Termination phase: Function definition elimination
% 19.42/3.11 % (1753374)Time elapsed: 0.104 s
% 19.42/3.11 % (1753374)Peak memory usage: 12 MB
% 19.42/3.11 % (1753374)Instructions burned: 131 (million)
% 19.42/3.11 % (1753385)Instruction limit reached!
% 19.42/3.11 % (1753385)------------------------------
% 19.42/3.11 % (1753385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753385)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753385)Termination reason: Instruction limit
% 19.42/3.11 % (1753385)Termination phase: Function definition elimination
% 19.42/3.11 % (1753385)Time elapsed: 0.056 s
% 19.42/3.11 % (1753385)Peak memory usage: 12 MB
% 19.42/3.11 % (1753385)Instructions burned: 132 (million)
% 19.42/3.11 % (1753387)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.42/3.11 % (1753388)Instruction limit reached!
% 19.42/3.11 % (1753388)------------------------------
% 19.42/3.11 % (1753388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753388)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753388)Termination reason: Instruction limit
% 19.42/3.11 % (1753388)Termination phase: Property scanning
% 19.42/3.11 % (1753388)Time elapsed: 0.040 s
% 19.42/3.11 % (1753388)Peak memory usage: 12 MB
% 19.42/3.11 % (1753388)Instructions burned: 184 (million)
% 19.42/3.11 % (1753395)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1902769941:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 19.42/3.11 % (1753394)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3497966502:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 19.42/3.11 % (1753370)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.42/3.11 % (1753393)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=589647033:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 19.42/3.11 % (1753387)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753399)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2715092065:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 19.42/3.11 % (1753399)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753401)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1807606727:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 19.42/3.11 % (1753391)Instruction limit reached!
% 19.42/3.11 % (1753391)------------------------------
% 19.42/3.11 % (1753391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753391)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753391)Termination reason: Instruction limit
% 19.42/3.11 % (1753391)Termination phase: Saturation
% 19.42/3.11 % (1753391)Time elapsed: 0.226 s
% 19.42/3.11 % (1753391)Peak memory usage: 15 MB
% 19.42/3.11 % (1753391)Instructions burned: 477 (million)
% 19.42/3.11 % (1753403)fmb+10_1_sil=64000:random_seed=2148320420:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 19.42/3.11 % (1753399)Instruction limit reached!
% 19.42/3.11 % (1753399)------------------------------
% 19.42/3.11 % (1753399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753399)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753399)Termination reason: Instruction limit
% 19.42/3.11 % (1753399)Termination phase: Saturation
% 19.42/3.11 % (1753399)Time elapsed: 0.172 s
% 19.42/3.11 % (1753399)Peak memory usage: 18 MB
% 19.42/3.11 % (1753399)Instructions burned: 693 (million)
% 19.42/3.11 % (1753405)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2546311331:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 19.42/3.11 % (1753401)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.42/3.11 % (1753387)Instruction limit reached!
% 19.42/3.11 % (1753387)------------------------------
% 19.42/3.11 % (1753387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753387)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753387)Termination reason: Instruction limit
% 19.42/3.11 % (1753387)Termination phase: Saturation
% 19.42/3.11 % (1753387)Time elapsed: 0.303 s
% 19.42/3.11 % (1753387)Peak memory usage: 16 MB
% 19.42/3.11 % (1753387)Instructions burned: 685 (million)
% 19.42/3.11 % (1753407)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2584087818:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 19.42/3.11 % (1753403)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753409)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=399365704:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753409)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.42/3.11 % (1753411)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3962108874:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753411)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.42/3.11 % (1753413)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1151956518:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 19.42/3.11 % (1753411)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753415)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3206287127:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753417)ott-2_1_sil=16000:newcnf=on:random_seed=715429155:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 19.42/3.11 % (1753394)Instruction limit reached!
% 19.42/3.11 % (1753394)------------------------------
% 19.42/3.11 % (1753394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753394)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753394)Termination reason: Instruction limit
% 19.42/3.11 % (1753394)Termination phase: Saturation
% 19.42/3.11 % (1753394)Time elapsed: 0.592 s
% 19.42/3.11 % (1753394)Peak memory usage: 23 MB
% 19.42/3.11 % (1753394)Instructions burned: 1179 (million)
% 19.42/3.11 % (1753417)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.42/3.11 % (1753419)ott+10_1_sil=32000:tgt=ground:random_seed=1106242233:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 19.42/3.11 % (1753401)Instruction limit reached!
% 19.42/3.11 % (1753401)------------------------------
% 19.42/3.11 % (1753401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753401)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753401)Termination reason: Instruction limit
% 19.42/3.11 % (1753401)Termination phase: Saturation
% 19.42/3.11 % (1753401)Time elapsed: 0.533 s
% 19.42/3.11 % (1753401)Peak memory usage: 20 MB
% 19.42/3.11 % (1753401)Instructions burned: 880 (million)
% 19.42/3.11 % (1753421)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=6543594:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753423)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3201842116:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 19.42/3.11 % (1753423)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.42/3.11 % (1753417)Instruction limit reached!
% 19.42/3.11 % (1753417)------------------------------
% 19.42/3.11 % (1753417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753417)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753417)Termination reason: Instruction limit
% 19.42/3.11 % (1753417)Termination phase: Saturation
% 19.42/3.11 % (1753417)Time elapsed: 0.395 s
% 19.42/3.11 % (1753417)Peak memory usage: 18 MB
% 19.42/3.11 % (1753417)Instructions burned: 871 (million)
% 19.42/3.11 % (1753425)dis+21_1_sil=32000:sas=cadical:random_seed=2759669035:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 19.42/3.11 % (1753411)Instruction limit reached!
% 19.42/3.11 % (1753411)------------------------------
% 19.42/3.11 % (1753411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753411)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753411)Termination reason: Instruction limit
% 19.42/3.11 % (1753411)Termination phase: Saturation
% 19.42/3.11 % (1753411)Time elapsed: 0.703 s
% 19.42/3.11 % (1753411)Peak memory usage: 20 MB
% 19.42/3.11 % (1753411)Instructions burned: 1474 (million)
% 19.42/3.11 % (1753427)ott+11_1_sil=16000:gs=on:random_seed=153160372:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 19.42/3.11 % (1753427)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.42/3.11 % (1753409)Instruction limit reached!
% 19.42/3.11 % (1753409)------------------------------
% 19.42/3.11 % (1753409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753409)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753409)Termination reason: Instruction limit
% 19.42/3.11 % (1753409)Termination phase: Saturation
% 19.42/3.11 % (1753409)Time elapsed: 1.249 s
% 19.42/3.11 % (1753409)Peak memory usage: 31 MB
% 19.42/3.11 % (1753409)Instructions burned: 5132 (million)
% 19.42/3.11 % (1753432)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=285614978:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 19.42/3.11 % Exception at run slice level
% 19.42/3.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.42/3.11 % (1753440)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3583010328:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 19.42/3.11 % (1753427)Instruction limit reached!
% 19.42/3.11 % (1753427)------------------------------
% 19.42/3.11 % (1753427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.11 % (1753427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.11 % (1753427)CaDiCaL version: 2.1.3
% 19.42/3.11 % (1753427)Termination reason: Instruction limit
% 19.42/3.11 % (1753427)Termination phase: Saturation
% 19.42/3.11 % (1753427)Time elapsed: 1.226 s
% 19.42/3.11 % (1753427)Peak memory usage: 25 MB
% 19.42/3.11 % (1753427)Instructions burned: 2252 (million)
% 19.42/3.11 % (1753447)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2991003152:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 19.42/3.11 % (1753419) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1753356-1753419"...
% 19.42/3.11 % (1753419)...printing done.
% 19.42/3.11 % (1753419)Refutation found. Thanks to Tanya!
% 19.42/3.11 % SZS status Theorem for theBenchmark
% 19.42/3.11 % SZS output start Proof for theBenchmark
% See solution above
% 19.42/3.12 % (1753419)------------------------------
% 19.42/3.12 % (1753419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.42/3.12 % (1753419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.12 % (1753419)CaDiCaL version: 2.1.3
% 19.42/3.12 % (1753419)Termination reason: Refutation
% 19.42/3.12 % (1753419)Time elapsed: 2.002 s
% 19.42/3.12 % (1753419)Peak memory usage: 42 MB
% 19.42/3.12 % (1753419)Instructions burned: 4091 (million)
% 19.42/3.12 % (1753356)Success in time 2.845 s
% 19.42/3.12 % Vampire exiting
%------------------------------------------------------------------------------