%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP047^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 Oct 7 10:23:49 AM UTC 2026
% Result : Theorem 20.12s 3.61s
% Output : CNFRefutation 20.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 63
% Syntax : Number of formulae : 1532 ( 482 unt; 0 typ; 0 def)
% Number of atoms : 10648 (6214 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 13225 (3001 ~;2873 |; 21 &;7219 @)
% ( 0 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 36 ( 35 usr)
% Number of type conns : 1755 (1755 >; 0 *; 0 +; 0 <<)
% Number of symbols : 206 ( 203 usr; 29 con; 0-5 aty)
% Number of variables : 4551 ( 109 ^;4412 !; 30 ?;4551 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cntxt_r_l_v,type,
cntxt_r_l_v: $tType ).
thf(tp_const,type,
const: $tType ).
thf(tp_expr_r_l_v,type,
expr_r_l_v: $tType ).
thf(tp_l,type,
l: $tType ).
thf(tp_option1457017436_r_l_v,type,
option1457017436_r_l_v: $tType ).
thf(tp_option_val_r_l_v,type,
option_val_r_l_v: $tType ).
thf(tp_produc1156025366_r_l_v,type,
produc1156025366_r_l_v: $tType ).
thf(tp_produc1164766533_r_l_v,type,
produc1164766533_r_l_v: $tType ).
thf(tp_produc1394974636_r_l_v,type,
produc1394974636_r_l_v: $tType ).
thf(tp_produc1489027110_r_l_v,type,
produc1489027110_r_l_v: $tType ).
thf(tp_r,type,
r: $tType ).
thf(tp_set_Product_prod_l_l,type,
set_Product_prod_l_l: $tType ).
thf(tp_set_Product_prod_l_r,type,
set_Product_prod_l_r: $tType ).
thf(tp_set_Product_prod_r_l,type,
set_Product_prod_r_l: $tType ).
thf(tp_set_Product_prod_r_r,type,
set_Product_prod_r_r: $tType ).
thf(tp_set_Sum_sum_l_l,type,
set_Sum_sum_l_l: $tType ).
thf(tp_set_Sum_sum_l_r,type,
set_Sum_sum_l_r: $tType ).
thf(tp_set_Sum_sum_r_l,type,
set_Sum_sum_r_l: $tType ).
thf(tp_set_Sum_sum_r_r,type,
set_Sum_sum_r_r: $tType ).
thf(tp_set_l,type,
set_l: $tType ).
thf(tp_set_op160472561um_l_r,type,
set_op160472561um_l_r: $tType ).
thf(tp_set_op76482283um_l_l,type,
set_op76482283um_l_l: $tType ).
thf(tp_set_op865065573um_r_l,type,
set_op865065573um_r_l: $tType ).
thf(tp_set_option_l,type,
set_option_l: $tType ).
thf(tp_set_option_r,type,
set_option_r: $tType ).
thf(tp_set_option_set_l,type,
set_option_set_l: $tType ).
thf(tp_set_option_set_r,type,
set_option_set_r: $tType ).
thf(tp_set_r,type,
set_r: $tType ).
thf(tp_set_set_l,type,
set_set_l: $tType ).
thf(tp_set_set_r,type,
set_set_r: $tType ).
thf(tp_sum_sum_l_l,type,
sum_sum_l_l: $tType ).
thf(tp_sum_sum_l_r,type,
sum_sum_l_r: $tType ).
thf(tp_sum_sum_r_l,type,
sum_sum_r_l: $tType ).
thf(tp_v,type,
v: $tType ).
thf(tp_val_r_l_v,type,
val_r_l_v: $tType ).
thf(tp_alpha,type,
alpha: r > r ).
thf(tp_beta,type,
beta: l > l ).
thf(tp_bij_betw_l_l,type,
bij_betw_l_l: ( l > l ) > set_l > set_l > $o ).
thf(tp_bij_betw_l_r,type,
bij_betw_l_r: ( l > r ) > set_l > set_r > $o ).
thf(tp_bij_betw_r_l,type,
bij_betw_r_l: ( r > l ) > set_r > set_l > $o ).
thf(tp_bij_betw_r_r,type,
bij_betw_r_r: ( r > r ) > set_r > set_r > $o ).
thf(tp_cV_r_l_v,type,
cV_r_l_v: const > val_r_l_v ).
thf(tp_collect_Sum_sum_l_l,type,
collect_Sum_sum_l_l: ( sum_sum_l_l > $o ) > set_Sum_sum_l_l ).
thf(tp_collect_Sum_sum_l_r,type,
collect_Sum_sum_l_r: ( sum_sum_l_r > $o ) > set_Sum_sum_l_r ).
thf(tp_collect_Sum_sum_r_l,type,
collect_Sum_sum_r_l: ( sum_sum_r_l > $o ) > set_Sum_sum_r_l ).
thf(tp_collect_l,type,
collect_l: ( l > $o ) > set_l ).
thf(tp_collect_r,type,
collect_r: ( r > $o ) > set_r ).
thf(tp_collect_set_l,type,
collect_set_l: ( set_l > $o ) > set_set_l ).
thf(tp_collect_set_r,type,
collect_set_r: ( set_r > $o ) > set_set_r ).
thf(tp_combine_l_val_r_l_v,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(tp_domain1547879849_r_l_v,type,
domain1547879849_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(tp_domain87684397_l_r_v,type,
domain87684397_l_r_v: produc1156025366_r_l_v > $o ).
thf(tp_e,type,
e: cntxt_r_l_v ).
thf(tp_e2,type,
e2: expr_r_l_v ).
thf(tp_eq_states_r_l_v,type,
eq_states_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(tp_execution_r_l_v,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(tp_finite1036466630um_r_l,type,
finite1036466630um_r_l: set_op865065573um_r_l > $o ).
thf(tp_finite111936338um_l_r,type,
finite111936338um_l_r: set_op160472561um_l_r > $o ).
thf(tp_finite115218812um_r_r,type,
finite115218812um_r_r: set_Sum_sum_r_r > $o ).
thf(tp_finite1457622794od_r_l,type,
finite1457622794od_r_l: set_Product_prod_r_l > $o ).
thf(tp_finite1507191824od_r_r,type,
finite1507191824od_r_r: set_Product_prod_r_r > $o ).
thf(tp_finite1541484284um_l_l,type,
finite1541484284um_l_l: set_Sum_sum_l_l > $o ).
thf(tp_finite1591053314um_l_r,type,
finite1591053314um_l_r: set_Sum_sum_l_r > $o ).
thf(tp_finite160708696_set_l,type,
finite160708696_set_l: set_option_set_l > $o ).
thf(tp_finite16335230tion_r,type,
finite16335230tion_r: set_option_r > $o ).
thf(tp_finite1864485196um_l_l,type,
finite1864485196um_l_l: set_op76482283um_l_l > $o ).
thf(tp_finite2114249848tion_l,type,
finite2114249848tion_l: set_option_l > $o ).
thf(tp_finite555643486_set_r,type,
finite555643486_set_r: set_option_set_r > $o ).
thf(tp_finite65649782um_r_l,type,
finite65649782um_r_l: set_Sum_sum_r_l > $o ).
thf(tp_finite785973648od_l_l,type,
finite785973648od_l_l: set_Product_prod_l_l > $o ).
thf(tp_finite835542678od_l_r,type,
finite835542678od_l_r: set_Product_prod_l_r > $o ).
thf(tp_finite_finite_l,type,
finite_finite_l: set_l > $o ).
thf(tp_finite_finite_r,type,
finite_finite_r: set_r > $o ).
thf(tp_finite_finite_set_l,type,
finite_finite_set_l: set_set_l > $o ).
thf(tp_finite_finite_set_r,type,
finite_finite_set_r: set_set_r > $o ).
thf(tp_fun_up1835647912_r_l_v,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(tp_fun_up709272714_r_l_v,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(tp_if_opt1153928738_r_l_v,type,
if_opt1153928738_r_l_v: $o > option1457017436_r_l_v > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(tp_if_option_val_r_l_v,type,
if_option_val_r_l_v: $o > option_val_r_l_v > option_val_r_l_v > option_val_r_l_v ).
thf(tp_induct1670415253_r_l_v,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(tp_is_glo1871033385_r_l_v,type,
is_glo1871033385_r_l_v: ( r > r ) > ( l > l ) > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(tp_lID_G_r_l_v,type,
lID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_l ).
thf(tp_lID_L_l_r_v,type,
lID_L_l_r_v: produc1156025366_r_l_v > set_l ).
thf(tp_lID_expression_l_r_v,type,
lID_expression_l_r_v: produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_lID_lo1265057957_l_r_v,type,
lID_lo1265057957_l_r_v: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_lID_snapshot_l_r_v,type,
lID_snapshot_l_r_v: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_loc_l_r_v,type,
loc_l_r_v: l > val_r_l_v ).
thf(tp_member_l,type,
member_l: l > set_l > $o ).
thf(tp_member_r,type,
member_r: r > set_r > $o ).
thf(tp_member_set_l,type,
member_set_l: set_l > set_set_l > $o ).
thf(tp_member_set_r,type,
member_set_r: set_r > set_set_r > $o ).
thf(tp_none_P277133687_r_l_v,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(tp_none_val_r_l_v,type,
none_val_r_l_v: option_val_r_l_v ).
thf(tp_ord_less_eq_set_l,type,
ord_less_eq_set_l: set_l > set_l > $o ).
thf(tp_ord_less_eq_set_r,type,
ord_less_eq_set_r: set_r > set_r > $o ).
thf(tp_plug_r_l_v,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(tp_produc1834103605_r_l_v,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(tp_produc2057232216_r_l_v,type,
produc2057232216_r_l_v: ( l > l ) > produc1156025366_r_l_v > produc1489027110_r_l_v ).
thf(tp_produc2111504612_r_l_v,type,
produc2111504612_r_l_v: ( r > r ) > produc1489027110_r_l_v > produc1394974636_r_l_v ).
thf(tp_produc297528454_r_l_v,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(tp_r2,type,
r2: r ).
thf(tp_r3,type,
r3: r ).
thf(tp_rID_G_r_l_v,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(tp_rID_L_l_r_v,type,
rID_L_l_r_v: produc1156025366_r_l_v > set_r ).
thf(tp_r_G_r_l_v,type,
r_G_r_l_v: ( r > r ) > ( l > l ) > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(tp_r_L_r_l_v,type,
r_L_r_l_v: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > produc1156025366_r_l_v ).
thf(tp_reachable_r_l_v,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(tp_ref_r_l_v,type,
ref_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(tp_revisi1291188644_r_l_v,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(tp_revision_step_r_l_v,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(tp_rfork_r_l_v,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(tp_rid_r_l_v,type,
rid_r_l_v: r > val_r_l_v ).
thf(tp_rjoin_r_l_v,type,
rjoin_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(tp_s,type,
s: r > option1457017436_r_l_v ).
thf(tp_s2,type,
s2: r > option1457017436_r_l_v ).
thf(tp_sK10_SY482,type,
sK10_SY482: produc1164766533_r_l_v > expr_r_l_v ).
thf(tp_sK11_SY494,type,
sK11_SY494: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK12_SY501,type,
sK12_SY501: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK13_SY504,type,
sK13_SY504: produc1156025366_r_l_v > produc1164766533_r_l_v ).
thf(tp_sK14_SY506,type,
sK14_SY506: produc1489027110_r_l_v > l > option_val_r_l_v ).
thf(tp_sK15_SY516,type,
sK15_SY516: produc1489027110_r_l_v > l > option_val_r_l_v ).
thf(tp_sK16_SY272,type,
sK16_SY272: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK17_SY282,type,
sK17_SY282: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK18_SY290,type,
sK18_SY290: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > l > l ).
thf(tp_sK19_SY295,type,
sK19_SY295: produc1164766533_r_l_v > ( produc1164766533_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK1_SV75,type,
sK1_SV75: r ).
thf(tp_sK20_SY527,type,
sK20_SY527: produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK21_SY528,type,
sK21_SY528: produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK22_SY332,type,
sK22_SY332: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > l > l ).
thf(tp_sK23_SY339,type,
sK23_SY339: produc1164766533_r_l_v > ( produc1164766533_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK24_SY347,type,
sK24_SY347: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK25_SY529,type,
sK25_SY529: produc1489027110_r_l_v > produc1164766533_r_l_v ).
thf(tp_sK26_SY377,type,
sK26_SY377: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK27_SY535,type,
sK27_SY535: produc1489027110_r_l_v > l > option_val_r_l_v ).
thf(tp_sK28_SV163,type,
sK28_SV163: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l ).
thf(tp_sK29_SY262,type,
sK29_SY262: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK2_SY256,type,
sK2_SY256: produc1164766533_r_l_v > l > option_val_r_l_v ).
thf(tp_sK30_SY406,type,
sK30_SY406: expr_r_l_v > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK31_SY539,type,
sK31_SY539: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > produc1164766533_r_l_v ).
thf(tp_sK32_SY540,type,
sK32_SY540: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK33_SY542,type,
sK33_SY542: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK34_SY545,type,
sK34_SY545: produc1164766533_r_l_v > ( produc1164766533_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK35_SY496,type,
sK35_SY496: produc1164766533_r_l_v > expr_r_l_v ).
thf(tp_sK36_SY309,type,
sK36_SY309: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK37_SV168,type,
sK37_SV168: produc1156025366_r_l_v > r > ( r > option1457017436_r_l_v ) > r ).
thf(tp_sK38_SY500,type,
sK38_SY500: produc1156025366_r_l_v > produc1164766533_r_l_v ).
thf(tp_sK39_SY546,type,
sK39_SY546: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK3_SY303,type,
sK3_SY303: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK40_SY548,type,
sK40_SY548: produc1164766533_r_l_v > ( produc1164766533_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK41_SY549,type,
sK41_SY549: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK42_SV169,type,
sK42_SV169: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l ).
thf(tp_sK43_SY551,type,
sK43_SY551: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > produc1164766533_r_l_v ).
thf(tp_sK44_SY552,type,
sK44_SY552: produc1489027110_r_l_v > expr_r_l_v ).
thf(tp_sK45_SY400,type,
sK45_SY400: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK46_SY555,type,
sK46_SY555: expr_r_l_v > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK47_SY557,type,
sK47_SY557: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK48_SY558,type,
sK48_SY558: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK49_SY439,type,
sK49_SY439: ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(tp_sK4_SY306,type,
sK4_SY306: produc1164766533_r_l_v > l > option_val_r_l_v ).
thf(tp_sK50_SY560,type,
sK50_SY560: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > produc1164766533_r_l_v ).
thf(tp_sK51_SY336,type,
sK51_SY336: option1457017436_r_l_v > ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(tp_sK52_SY561,type,
sK52_SY561: produc1156025366_r_l_v > ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK53_SY367,type,
sK53_SY367: produc1156025366_r_l_v > ( l > l ) > ( r > r ) > ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > r > r ).
thf(tp_sK54_SY470,type,
sK54_SY470: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK55_SY400,type,
sK55_SY400: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK56_SY564,type,
sK56_SY564: expr_r_l_v > produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK57_SY565,type,
sK57_SY565: produc1489027110_r_l_v > ( produc1489027110_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK58_SY566,type,
sK58_SY566: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > l ).
thf(tp_sK59_SY470,type,
sK59_SY470: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK5_SY325,type,
sK5_SY325: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK60_SY570,type,
sK60_SY570: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK61_SV181,type,
sK61_SV181: option1457017436_r_l_v > r > ( r > option1457017436_r_l_v ) > r ).
thf(tp_sK62_SV183,type,
sK62_SV183: produc1156025366_r_l_v > ( r > option1457017436_r_l_v ) > produc1156025366_r_l_v > r > ( r > option1457017436_r_l_v ) > r ).
thf(tp_sK63_SV184,type,
sK63_SV184: option1457017436_r_l_v > ( r > option1457017436_r_l_v ) > option1457017436_r_l_v > r > ( r > option1457017436_r_l_v ) > r ).
thf(tp_sK64_SY574,type,
sK64_SY574: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK65_SY577,type,
sK65_SY577: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK66_SY580,type,
sK66_SY580: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(tp_sK67_SY562,type,
sK67_SY562: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK68_SY440,type,
sK68_SY440: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(tp_sK69_SY337,type,
sK69_SY337: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK6_SY327,type,
sK6_SY327: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK70_SY583,type,
sK70_SY583: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(tp_sK71_SY572,type,
sK71_SY572: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK72_SY490,type,
sK72_SY490: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK73_SY441,type,
sK73_SY441: ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(tp_sK74_SY579,type,
sK74_SY579: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK75_SY490,type,
sK75_SY490: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK76_SY490,type,
sK76_SY490: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK77_SY586,type,
sK77_SY586: option1457017436_r_l_v > ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK78_SV206,type,
sK78_SV206: produc1164766533_r_l_v > produc1164766533_r_l_v > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l ).
thf(tp_sK79_SY442,type,
sK79_SY442: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(tp_sK7_SY344,type,
sK7_SY344: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(tp_sK80_SY337,type,
sK80_SY337: produc1156025366_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK81_SV207,type,
sK81_SV207: expr_r_l_v > expr_r_l_v > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l ).
thf(tp_sK82_SV208,type,
sK82_SV208: expr_r_l_v > expr_r_l_v > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l ).
thf(tp_sK83_SV209,type,
sK83_SV209: produc1164766533_r_l_v > produc1164766533_r_l_v > ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l ).
thf(tp_sK84_SY582,type,
sK84_SY582: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK85_SY584,type,
sK85_SY584: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK86_SY490,type,
sK86_SY490: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK87_SY587,type,
sK87_SY587: option1457017436_r_l_v > ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK88_SY588,type,
sK88_SY588: option1457017436_r_l_v > ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK89_SY441,type,
sK89_SY441: option1457017436_r_l_v > ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(tp_sK8_SY354,type,
sK8_SY354: produc1489027110_r_l_v > l > l ).
thf(tp_sK90_SY585,type,
sK90_SY585: ( l > option_val_r_l_v ) > produc1156025366_r_l_v > expr_r_l_v ).
thf(tp_sK91_SY589,type,
sK91_SY589: option1457017436_r_l_v > ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(tp_sK92_SY442,type,
sK92_SY442: option1457017436_r_l_v > ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(tp_sK93_SY441,type,
sK93_SY441: produc1156025366_r_l_v > ( option1457017436_r_l_v > $o ) > option1457017436_r_l_v ).
thf(tp_sK94_SY442,type,
sK94_SY442: produc1156025366_r_l_v > ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(tp_sK9_SY379,type,
sK9_SY379: produc1489027110_r_l_v > l > l ).
thf(tp_sigma,type,
sigma: l > option_val_r_l_v ).
thf(tp_some_P1807977723_r_l_v,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(tp_some_val_r_l_v,type,
some_val_r_l_v: val_r_l_v > option_val_r_l_v ).
thf(tp_subst,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(tp_substitution_r_l_v,type,
substitution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > $o ).
thf(tp_subsum148050133_r_l_v,type,
subsum148050133_r_l_v: r > r > ( r > option1457017436_r_l_v ) > $o ).
thf(tp_subsum680764357_r_l_v,type,
subsum680764357_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(tp_tau,type,
tau: l > option_val_r_l_v ).
thf(tp_top_to1010946379um_l_l,type,
top_to1010946379um_l_l: set_Sum_sum_l_l ).
thf(tp_top_to1066565019um_l_l,type,
top_to1066565019um_l_l: set_op76482283um_l_l ).
thf(tp_top_to1150555297um_l_r,type,
top_to1150555297um_l_r: set_op160472561um_l_r ).
thf(tp_top_to1405881169um_l_r,type,
top_to1405881169um_l_r: set_Sum_sum_l_r ).
thf(tp_top_to1639761425od_r_l,type,
top_to1639761425od_r_l: set_Product_prod_r_l ).
thf(tp_top_to182927813um_r_l,type,
top_to182927813um_r_l: set_Sum_sum_r_l ).
thf(tp_top_to1855148309um_r_l,type,
top_to1855148309um_r_l: set_op865065573um_r_l ).
thf(tp_top_to2034696215od_r_r,type,
top_to2034696215od_r_r: set_Product_prod_r_r ).
thf(tp_top_to320296343od_l_l,type,
top_to320296343od_l_l: set_Product_prod_l_l ).
thf(tp_top_to471808607_set_l,type,
top_to471808607_set_l: set_option_set_l ).
thf(tp_top_to555798885_set_r,type,
top_to555798885_set_r: set_option_set_r ).
thf(tp_top_to577862603um_r_r,type,
top_to577862603um_r_r: set_Sum_sum_r_r ).
thf(tp_top_to715231133od_l_r,type,
top_to715231133od_l_r: set_Product_prod_l_r ).
thf(tp_top_top_set_l,type,
top_top_set_l: set_l ).
thf(tp_top_top_set_option_l,type,
top_top_set_option_l: set_option_l ).
thf(tp_top_top_set_option_r,type,
top_top_set_option_r: set_option_r ).
thf(tp_top_top_set_r,type,
top_top_set_r: set_r ).
thf(tp_top_top_set_set_l,type,
top_top_set_set_l: set_set_l ).
thf(tp_top_top_set_set_r,type,
top_top_set_set_r: set_set_r ).
thf(tp_unit,type,
unit: const ).
thf(tp_vE_r_l_v,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/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(10,axiom,
! [X4: expr_r_l_v,X7: expr_r_l_v] :
( ( ref_r_l_v @ X4 )
!= ( rfork_r_l_v @ X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_expr_Odistinct_I41_J) ).
thf(196,axiom,
! [X7: expr_r_l_v,X8: expr_r_l_v] :
( ( rfork_r_l_v @ X7 )
!= ( rjoin_r_l_v @ X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_expr_Odistinct_I55_J) ).
thf(233,axiom,
! [X: r,X6: r,F: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( X != X6 )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ ( some_P1807977723_r_l_v @ Y ) ) @ X6 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X6 @ none_P277133687_r_l_v ) @ X @ ( some_P1807977723_r_l_v @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_restrictions__inwards) ).
thf(235,axiom,
! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
!= ( ^ [X2: r] : none_P277133687_r_l_v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_map__upd__nonempty) ).
thf(236,axiom,
! [X1: val_r_l_v,X7: expr_r_l_v] :
( ( vE_r_l_v @ X1 )
!= ( rfork_r_l_v @ X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_expr_Odistinct_I11_J) ).
thf(240,axiom,
! [X: option1457017436_r_l_v,P: option1457017436_r_l_v > option1457017436_r_l_v > $o,Y: option1457017436_r_l_v] :
( ( ( X = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ! [A3: produc1156025366_r_l_v,B3: produc1156025366_r_l_v] :
( ( X
= ( some_P1807977723_r_l_v @ A3 ) )
=> ( ( Y
= ( some_P1807977723_r_l_v @ B3 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_combine__options__cases) ).
thf(242,axiom,
( ( ^ [P3: option1457017436_r_l_v > $o] :
! [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
& ! [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_split__option__all) ).
thf(244,axiom,
( ( ^ [P3: option1457017436_r_l_v > $o] :
? [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
| ? [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_split__option__ex) ).
thf(246,axiom,
! [P: option1457017436_r_l_v > $o,Option: option1457017436_r_l_v] :
( ( P @ none_P277133687_r_l_v )
=> ( ! [X3: produc1156025366_r_l_v] : ( P @ ( some_P1807977723_r_l_v @ X3 ) )
=> ( P @ Option ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_option_Oinducts) ).
thf(248,axiom,
! [Y: option1457017436_r_l_v] :
( ( Y != none_P277133687_r_l_v )
=> ~ ! [X23: produc1156025366_r_l_v] :
( Y
!= ( some_P1807977723_r_l_v @ X23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_option_Oexhaust) ).
thf(250,axiom,
! [Option: option1457017436_r_l_v,X22: produc1156025366_r_l_v] :
( ( Option
= ( some_P1807977723_r_l_v @ X22 ) )
=> ( Option != none_P277133687_r_l_v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_option_OdiscI) ).
thf(252,axiom,
! [X22: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_option_Odistinct_I1_J) ).
thf(255,axiom,
! [X: r] :
( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ X
@ none_P277133687_r_l_v )
= ( ^ [X2: r] : none_P277133687_r_l_v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_empty__upd__none) ).
thf(258,axiom,
! [X: option1457017436_r_l_v] :
( ( ! [Y2: produc1156025366_r_l_v] :
( X
!= ( some_P1807977723_r_l_v @ Y2 ) ) )
= ( X = none_P277133687_r_l_v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_not__Some__eq) ).
thf(260,axiom,
! [X: option1457017436_r_l_v] :
( ( X != none_P277133687_r_l_v )
= ( ? [Y2: produc1156025366_r_l_v] :
( X
= ( some_P1807977723_r_l_v @ Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_not__None__eq) ).
thf(264,axiom,
! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v] :
( ? [Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Sigma ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_LID__snapshot_Oelims) ).
thf(265,axiom,
! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Sigma2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_LID__snapshot_Osimps) ).
thf(279,axiom,
! [X: produc1156025366_r_l_v,Y: expr_r_l_v] :
( ( ( lID_expression_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( ( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != E3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_LID__expression_Oelims) ).
thf(280,axiom,
! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= E4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_LID__expression_Osimps) ).
thf(281,axiom,
! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v] :
( ? [E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Tau ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_LID__local__store_Oelims) ).
thf(282,axiom,
! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Tau2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_LID__local__store_Osimps) ).
thf(284,axiom,
! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( ( T @ K )
= ( some_P1807977723_r_l_v @ X ) )
=> ( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
= T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_map__upd__triv) ).
thf(286,axiom,
! [M: r > option1457017436_r_l_v,A: r,B: produc1156025366_r_l_v,X: r,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ B ) @ X )
= ( some_P1807977723_r_l_v @ Y ) )
= ( ( ( X = A )
& ( B = Y ) )
| ( ( X != A )
& ( ( M @ X )
= ( some_P1807977723_r_l_v @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_map__upd__Some__unfold) ).
thf(287,axiom,
! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_prod__cases3) ).
thf(288,axiom,
! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_prod__cases3) ).
thf(290,axiom,
! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_prod__cases4) ).
thf(293,axiom,
! [P: produc1156025366_r_l_v > $o,X: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_prod__induct3) ).
thf(294,axiom,
! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_prod__induct3) ).
thf(296,axiom,
! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) )
=> ( P @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_prod__induct4) ).
thf(300,axiom,
( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,A4: r,B4: option1457017436_r_l_v,X2: r] : ( if_opt1153928738_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_fun__upd__def) ).
thf(302,axiom,
! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,G: r > option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= ( fun_up709272714_r_l_v @ G @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_fun__upd__eqD) ).
thf(304,axiom,
! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( F @ X )
= Y )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_fun__upd__idem) ).
thf(306,axiom,
! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ F @ X @ Y @ X )
= Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_fun__upd__same) ).
thf(308,axiom,
! [Z: r,X: r,F: r > option1457017436_r_l_v,Y: option1457017436_r_l_v] :
( ( Z != X )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y @ Z )
= ( F @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_fun__upd__other) ).
thf(310,axiom,
! [A: r,C: r,M: r > option1457017436_r_l_v,B: option1457017436_r_l_v,D: option1457017436_r_l_v] :
( ( A != C )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ A @ B ) @ C @ D )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ C @ D ) @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_fun__upd__twist) ).
thf(312,axiom,
! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F )
= ( ( F @ X )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_fun__upd__idem__iff) ).
thf(313,axiom,
! [P2: produc1164766533_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: expr_r_l_v] :
( P2
= ( produc1834103605_r_l_v @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_surj__pair) ).
thf(314,axiom,
! [P2: produc1156025366_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: produc1164766533_r_l_v] :
( P2
= ( produc297528454_r_l_v @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_surj__pair) ).
thf(317,axiom,
! [P: produc1164766533_r_l_v > $o,P2: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_prod__cases) ).
thf(318,axiom,
! [P: produc1156025366_r_l_v > $o,P2: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_prod__cases) ).
thf(321,axiom,
! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_Pair__inject) ).
thf(322,axiom,
! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_Pair__inject) ).
thf(325,axiom,
! [Y: produc1164766533_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] :
( Y
!= ( produc1834103605_r_l_v @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_old_Oprod_Oexhaust) ).
thf(326,axiom,
! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_old_Oprod_Oexhaust) ).
thf(329,axiom,
! [P: produc1164766533_r_l_v > $o,Prod: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_old_Oprod_Oinducts) ).
thf(330,axiom,
! [P: produc1156025366_r_l_v > $o,Prod: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_old_Oprod_Oinducts) ).
thf(335,axiom,
! [M: r > option1457017436_r_l_v,A: r,X: produc1156025366_r_l_v,N: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ X ) )
= ( fun_up709272714_r_l_v @ N @ A @ ( some_P1807977723_r_l_v @ Y ) ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_map__upd__eqD1) ).
thf(336,axiom,
! [P: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o,A0: r > r,A1: l > l,A22: produc1156025366_r_l_v] :
( ! [Alpha: r > r,Beta: l > l,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ Alpha @ Beta @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 @ A1 @ A22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21__092_060R_062_092_060_094sub_062L_Oinduct) ).
thf(337,axiom,
! [P: produc1156025366_r_l_v > $o,A0: produc1156025366_r_l_v] :
( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_LID__local__store_Oinduct) ).
thf(338,axiom,
! [X: produc1156025366_r_l_v] :
~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
!= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_LID__local__store_Ocases) ).
thf(339,axiom,
! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_old_Oprod_Oinject) ).
thf(340,axiom,
! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_old_Oprod_Oinject) ).
thf(343,axiom,
! [X1: l > option_val_r_l_v,X22: expr_r_l_v,Y1: l > option_val_r_l_v,Y22: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ X1 @ X22 )
= ( produc1834103605_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_prod_Oinject) ).
thf(344,axiom,
! [X1: l > option_val_r_l_v,X22: produc1164766533_r_l_v,Y1: l > option_val_r_l_v,Y22: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ X1 @ X22 )
= ( produc297528454_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_prod_Oinject) ).
thf(348,axiom,
! [X22: produc1156025366_r_l_v,Y22: produc1156025366_r_l_v] :
( ( ( some_P1807977723_r_l_v @ X22 )
= ( some_P1807977723_r_l_v @ Y22 ) )
= ( X22 = Y22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_option_Oinject) ).
thf(350,axiom,
( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,X2: r,Y2: option1457017436_r_l_v,Z2: r] : ( if_opt1153928738_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_fun__upd__apply) ).
thf(352,axiom,
! [F: r > option1457017436_r_l_v,X: r] :
( ( fun_up709272714_r_l_v @ F @ X @ ( F @ X ) )
= F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_fun__upd__triv) ).
thf(354,axiom,
! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ Y ) @ X @ Z )
= ( fun_up709272714_r_l_v @ F @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_fun__upd__upd) ).
thf(355,axiom,
! [E: cntxt_r_l_v,E1: expr_r_l_v,E2: expr_r_l_v] :
( ( ( plug_r_l_v @ E @ E1 )
= ( plug_r_l_v @ E @ E2 ) )
= ( E1 = E2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_injective__cntxt) ).
thf(356,axiom,
! [X7: expr_r_l_v,Y7: expr_r_l_v] :
( ( ( rfork_r_l_v @ X7 )
= ( rfork_r_l_v @ Y7 ) )
= ( X7 = Y7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_expr_Oinject_I7_J) ).
thf(357,axiom,
( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_local_Ofork_I2_J) ).
thf(358,conjecture,
( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(359,negated_conjecture,
( ( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[358]) ).
thf(360,plain,
( ( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[359]) ).
thf(361,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(362,plain,
( ( ! [X4: expr_r_l_v,X7: expr_r_l_v] :
( ( ref_r_l_v @ X4 )
!= ( rfork_r_l_v @ X7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(363,plain,
( ( ! [X7: expr_r_l_v,X8: expr_r_l_v] :
( ( rfork_r_l_v @ X7 )
!= ( rjoin_r_l_v @ X8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(364,plain,
( ( ! [X: r,X6: r,F: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( X != X6 )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ ( some_P1807977723_r_l_v @ Y ) ) @ X6 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X6 @ none_P277133687_r_l_v ) @ X @ ( some_P1807977723_r_l_v @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(365,plain,
( ( ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
!= ( ^ [X2: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(366,plain,
( ( ! [X1: val_r_l_v,X7: expr_r_l_v] :
( ( vE_r_l_v @ X1 )
!= ( rfork_r_l_v @ X7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(367,plain,
( ( ! [X: option1457017436_r_l_v,P: option1457017436_r_l_v > option1457017436_r_l_v > $o,Y: option1457017436_r_l_v] :
( ( ( X = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ! [A3: produc1156025366_r_l_v,B3: produc1156025366_r_l_v] :
( ( X
= ( some_P1807977723_r_l_v @ A3 ) )
=> ( ( Y
= ( some_P1807977723_r_l_v @ B3 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(368,plain,
( ( ( ^ [P3: option1457017436_r_l_v > $o] :
! [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
& ! [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(369,plain,
( ( ( ^ [P3: option1457017436_r_l_v > $o] :
? [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
| ? [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(370,plain,
( ( ! [P: option1457017436_r_l_v > $o,Option: option1457017436_r_l_v] :
( ( P @ none_P277133687_r_l_v )
=> ( ! [X3: produc1156025366_r_l_v] : ( P @ ( some_P1807977723_r_l_v @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(371,plain,
( ( ! [Y: option1457017436_r_l_v] :
( ( Y != none_P277133687_r_l_v )
=> ~ ! [X23: produc1156025366_r_l_v] :
( Y
!= ( some_P1807977723_r_l_v @ X23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(372,plain,
( ( ! [Option: option1457017436_r_l_v,X22: produc1156025366_r_l_v] :
( ( Option
= ( some_P1807977723_r_l_v @ X22 ) )
=> ( Option != none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(373,plain,
( ( ! [X22: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(374,plain,
( ( ! [X: r] :
( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ X
@ none_P277133687_r_l_v )
= ( ^ [X2: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(375,plain,
( ( ! [X: option1457017436_r_l_v] :
( ( ! [Y2: produc1156025366_r_l_v] :
( X
!= ( some_P1807977723_r_l_v @ Y2 ) ) )
= ( X = none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(376,plain,
( ( ! [X: option1457017436_r_l_v] :
( ( X != none_P277133687_r_l_v )
= ( ? [Y2: produc1156025366_r_l_v] :
( X
= ( some_P1807977723_r_l_v @ Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(377,plain,
( ( ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v] :
( ? [Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Sigma ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(378,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Sigma2 ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(379,plain,
( ( ! [X: produc1156025366_r_l_v,Y: expr_r_l_v] :
( ( ( lID_expression_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( ( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != E3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(380,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= E4 ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(381,plain,
( ( ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v] :
( ? [E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Tau ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(382,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Tau2 ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(383,plain,
( ( ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( ( T @ K )
= ( some_P1807977723_r_l_v @ X ) )
=> ( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
= T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(384,plain,
( ( ! [M: r > option1457017436_r_l_v,A: r,B: produc1156025366_r_l_v,X: r,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ B ) @ X )
= ( some_P1807977723_r_l_v @ Y ) )
= ( ( ( X = A )
& ( B = Y ) )
| ( ( X != A )
& ( ( M @ X )
= ( some_P1807977723_r_l_v @ Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(385,plain,
( ( ! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(386,plain,
( ( ! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(387,plain,
( ( ! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(388,plain,
( ( ! [P: produc1156025366_r_l_v > $o,X: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(389,plain,
( ( ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(390,plain,
( ( ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) )
=> ( P @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(391,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,A4: r,B4: option1457017436_r_l_v,X2: r] : ( if_opt1153928738_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(392,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,G: r > option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= ( fun_up709272714_r_l_v @ G @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(393,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( F @ X )
= Y )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(394,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ F @ X @ Y @ X )
= Y ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(395,plain,
( ( ! [Z: r,X: r,F: r > option1457017436_r_l_v,Y: option1457017436_r_l_v] :
( ( Z != X )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y @ Z )
= ( F @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(396,plain,
( ( ! [A: r,C: r,M: r > option1457017436_r_l_v,B: option1457017436_r_l_v,D: option1457017436_r_l_v] :
( ( A != C )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ A @ B ) @ C @ D )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ C @ D ) @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(397,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F )
= ( ( F @ X )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(398,plain,
( ( ! [P2: produc1164766533_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: expr_r_l_v] :
( P2
= ( produc1834103605_r_l_v @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(399,plain,
( ( ! [P2: produc1156025366_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: produc1164766533_r_l_v] :
( P2
= ( produc297528454_r_l_v @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(400,plain,
( ( ! [P: produc1164766533_r_l_v > $o,P2: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(401,plain,
( ( ! [P: produc1156025366_r_l_v > $o,P2: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(402,plain,
( ( ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(403,plain,
( ( ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(404,plain,
( ( ! [Y: produc1164766533_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] :
( Y
!= ( produc1834103605_r_l_v @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(405,plain,
( ( ! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(406,plain,
( ( ! [P: produc1164766533_r_l_v > $o,Prod: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(407,plain,
( ( ! [P: produc1156025366_r_l_v > $o,Prod: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(408,plain,
( ( ! [M: r > option1457017436_r_l_v,A: r,X: produc1156025366_r_l_v,N: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ X ) )
= ( fun_up709272714_r_l_v @ N @ A @ ( some_P1807977723_r_l_v @ Y ) ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(409,plain,
( ( ! [P: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o,A0: r > r,A1: l > l,A22: produc1156025366_r_l_v] :
( ! [Alpha: r > r,Beta: l > l,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ Alpha @ Beta @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 @ A1 @ A22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(410,plain,
( ( ! [P: produc1156025366_r_l_v > $o,A0: produc1156025366_r_l_v] :
( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(411,plain,
( ( ! [X: produc1156025366_r_l_v] :
~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
!= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(412,plain,
( ( ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(413,plain,
( ( ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(414,plain,
( ( ! [X1: l > option_val_r_l_v,X22: expr_r_l_v,Y1: l > option_val_r_l_v,Y22: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ X1 @ X22 )
= ( produc1834103605_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(415,plain,
( ( ! [X1: l > option_val_r_l_v,X22: produc1164766533_r_l_v,Y1: l > option_val_r_l_v,Y22: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ X1 @ X22 )
= ( produc297528454_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(416,plain,
( ( ! [X22: produc1156025366_r_l_v,Y22: produc1156025366_r_l_v] :
( ( ( some_P1807977723_r_l_v @ X22 )
= ( some_P1807977723_r_l_v @ Y22 ) )
= ( X22 = Y22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(417,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,X2: r,Y2: option1457017436_r_l_v,Z2: r] : ( if_opt1153928738_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(418,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r] :
( ( fun_up709272714_r_l_v @ F @ X @ ( F @ X ) )
= F ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(419,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ Y ) @ X @ Z )
= ( fun_up709272714_r_l_v @ F @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(420,plain,
( ( ! [E: cntxt_r_l_v,E1: expr_r_l_v,E2: expr_r_l_v] :
( ( ( plug_r_l_v @ E @ E1 )
= ( plug_r_l_v @ E @ E2 ) )
= ( E1 = E2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(421,plain,
( ( ! [X7: expr_r_l_v,Y7: expr_r_l_v] :
( ( ( rfork_r_l_v @ X7 )
= ( rfork_r_l_v @ Y7 ) )
= ( X7 = Y7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(422,plain,
( ( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(423,plain,
( ( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[360]) ).
thf(424,plain,
( ( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(425,plain,
( ( ! [X7: expr_r_l_v,Y7: expr_r_l_v] :
( ( ( rfork_r_l_v @ X7 )
= ( rfork_r_l_v @ Y7 ) )
= ( X7 = Y7 ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(426,plain,
( ( ! [E: cntxt_r_l_v,E1: expr_r_l_v,E2: expr_r_l_v] :
( ( ( plug_r_l_v @ E @ E1 )
= ( plug_r_l_v @ E @ E2 ) )
= ( E1 = E2 ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(427,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ Y ) @ X @ Z )
= ( fun_up709272714_r_l_v @ F @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(428,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r] :
( ( fun_up709272714_r_l_v @ F @ X @ ( F @ X ) )
= F ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(429,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,X2: r,Y2: option1457017436_r_l_v,Z2: r] : ( if_opt1153928738_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(430,plain,
( ( ! [X22: produc1156025366_r_l_v,Y22: produc1156025366_r_l_v] :
( ( ( some_P1807977723_r_l_v @ X22 )
= ( some_P1807977723_r_l_v @ Y22 ) )
= ( X22 = Y22 ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(431,plain,
( ( ! [X1: l > option_val_r_l_v,X22: produc1164766533_r_l_v,Y1: l > option_val_r_l_v,Y22: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ X1 @ X22 )
= ( produc297528454_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(432,plain,
( ( ! [X1: l > option_val_r_l_v,X22: expr_r_l_v,Y1: l > option_val_r_l_v,Y22: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ X1 @ X22 )
= ( produc1834103605_r_l_v @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(433,plain,
( ( ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(434,plain,
( ( ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(435,plain,
( ( ! [X: produc1156025366_r_l_v] :
~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
!= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(436,plain,
( ( ! [P: produc1156025366_r_l_v > $o,A0: produc1156025366_r_l_v] :
( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(437,plain,
( ( ! [P: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o,A0: r > r,A1: l > l,A22: produc1156025366_r_l_v] :
( ! [Alpha: r > r,Beta: l > l,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ Alpha @ Beta @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( P @ A0 @ A1 @ A22 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(438,plain,
( ( ! [M: r > option1457017436_r_l_v,A: r,X: produc1156025366_r_l_v,N: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ X ) )
= ( fun_up709272714_r_l_v @ N @ A @ ( some_P1807977723_r_l_v @ Y ) ) )
=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(439,plain,
( ( ! [P: produc1156025366_r_l_v > $o,Prod: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(440,plain,
( ( ! [P: produc1164766533_r_l_v > $o,Prod: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(441,plain,
( ( ! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(442,plain,
( ( ! [Y: produc1164766533_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] :
( Y
!= ( produc1834103605_r_l_v @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(443,plain,
( ( ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ A @ B )
= ( produc297528454_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(444,plain,
( ( ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ A @ B )
= ( produc1834103605_r_l_v @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(445,plain,
( ( ! [P: produc1156025366_r_l_v > $o,P2: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(446,plain,
( ( ! [P: produc1164766533_r_l_v > $o,P2: produc1164766533_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(447,plain,
( ( ! [P2: produc1156025366_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: produc1164766533_r_l_v] :
( P2
= ( produc297528454_r_l_v @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(448,plain,
( ( ! [P2: produc1164766533_r_l_v] :
? [X3: l > option_val_r_l_v,Y3: expr_r_l_v] :
( P2
= ( produc1834103605_r_l_v @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(449,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F )
= ( ( F @ X )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(450,plain,
( ( ! [A: r,C: r,M: r > option1457017436_r_l_v,B: option1457017436_r_l_v,D: option1457017436_r_l_v] :
( ( A != C )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ A @ B ) @ C @ D )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ C @ D ) @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(451,plain,
( ( ! [Z: r,X: r,F: r > option1457017436_r_l_v,Y: option1457017436_r_l_v] :
( ( Z != X )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y @ Z )
= ( F @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(452,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ F @ X @ Y @ X )
= Y ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(453,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
( ( ( F @ X )
= Y )
=> ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= F ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(454,plain,
( ( ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,G: r > option1457017436_r_l_v,Z: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
= ( fun_up709272714_r_l_v @ G @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(455,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,A4: r,B4: option1457017436_r_l_v,X2: r] : ( if_opt1153928738_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(456,plain,
( ( ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) )
=> ( P @ X ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(457,plain,
( ( ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
( ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(458,plain,
( ( ! [P: produc1156025366_r_l_v > $o,X: produc1156025366_r_l_v] :
( ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(459,plain,
( ( ! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(460,plain,
( ( ! [Y: produc1489027110_r_l_v] :
~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] :
( Y
!= ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(461,plain,
( ( ! [Y: produc1156025366_r_l_v] :
~ ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] :
( Y
!= ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(462,plain,
( ( ! [M: r > option1457017436_r_l_v,A: r,B: produc1156025366_r_l_v,X: r,Y: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ B ) @ X )
= ( some_P1807977723_r_l_v @ Y ) )
= ( ( ( X = A )
& ( B = Y ) )
| ( ( X != A )
& ( ( M @ X )
= ( some_P1807977723_r_l_v @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(463,plain,
( ( ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( ( T @ K )
= ( some_P1807977723_r_l_v @ X ) )
=> ( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
= T ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(464,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Tau2 ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(465,plain,
( ( ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v] :
( ? [E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Tau ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(466,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= E4 ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(467,plain,
( ( ! [X: produc1156025366_r_l_v,Y: expr_r_l_v] :
( ( ( lID_expression_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( ( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != E3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(468,plain,
( ( ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
= Sigma2 ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(469,plain,
( ( ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ X )
= Y )
=> ~ ! [Sigma: l > option_val_r_l_v] :
( ? [Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
( X
= ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
=> ( Y != Sigma ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(470,plain,
( ( ! [X: option1457017436_r_l_v] :
( ( X != none_P277133687_r_l_v )
= ( ? [Y2: produc1156025366_r_l_v] :
( X
= ( some_P1807977723_r_l_v @ Y2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(471,plain,
( ( ! [X: option1457017436_r_l_v] :
( ( ! [Y2: produc1156025366_r_l_v] :
( X
!= ( some_P1807977723_r_l_v @ Y2 ) ) )
= ( X = none_P277133687_r_l_v ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(472,plain,
( ( ! [X: r] :
( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ X
@ none_P277133687_r_l_v )
= ( ^ [X2: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(473,plain,
( ( ! [X22: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X22 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(474,plain,
( ( ! [Option: option1457017436_r_l_v,X22: produc1156025366_r_l_v] :
( ( Option
= ( some_P1807977723_r_l_v @ X22 ) )
=> ( Option != none_P277133687_r_l_v ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(475,plain,
( ( ! [Y: option1457017436_r_l_v] :
( ( Y != none_P277133687_r_l_v )
=> ~ ! [X23: produc1156025366_r_l_v] :
( Y
!= ( some_P1807977723_r_l_v @ X23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(476,plain,
( ( ! [P: option1457017436_r_l_v > $o,Option: option1457017436_r_l_v] :
( ( P @ none_P277133687_r_l_v )
=> ( ! [X3: produc1156025366_r_l_v] : ( P @ ( some_P1807977723_r_l_v @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(477,plain,
( ( ( ^ [P3: option1457017436_r_l_v > $o] :
? [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
| ? [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(478,plain,
( ( ( ^ [P3: option1457017436_r_l_v > $o] :
! [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
= ( ^ [P4: option1457017436_r_l_v > $o] :
( ( P4 @ none_P277133687_r_l_v )
& ! [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(479,plain,
( ( ! [X: option1457017436_r_l_v,P: option1457017436_r_l_v > option1457017436_r_l_v > $o,Y: option1457017436_r_l_v] :
( ( ( X = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_P277133687_r_l_v )
=> ( P @ X @ Y ) )
=> ( ! [A3: produc1156025366_r_l_v,B3: produc1156025366_r_l_v] :
( ( X
= ( some_P1807977723_r_l_v @ A3 ) )
=> ( ( Y
= ( some_P1807977723_r_l_v @ B3 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(480,plain,
( ( ! [X1: val_r_l_v,X7: expr_r_l_v] :
( ( vE_r_l_v @ X1 )
!= ( rfork_r_l_v @ X7 ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(481,plain,
( ( ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
!= ( ^ [X2: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(482,plain,
( ( ! [X: r,X6: r,F: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
( ( X != X6 )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ ( some_P1807977723_r_l_v @ Y ) ) @ X6 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X6 @ none_P277133687_r_l_v ) @ X @ ( some_P1807977723_r_l_v @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(483,plain,
( ( ! [X7: expr_r_l_v,X8: expr_r_l_v] :
( ( rfork_r_l_v @ X7 )
!= ( rjoin_r_l_v @ X8 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(484,plain,
( ( ! [X4: expr_r_l_v,X7: expr_r_l_v] :
( ( ref_r_l_v @ X4 )
!= ( rfork_r_l_v @ X7 ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(485,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(486,plain,
( ( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(487,plain,
( ( ! [SX0: r,SX1: r,SX2: r > option1457017436_r_l_v,SX3: option1457017436_r_l_v] :
( ~ ( ( SX0 != SX1 ) )
| ( ( fun_up709272714_r_l_v @ SX2 @ SX1 @ SX3 @ SX0 )
= ( SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(488,plain,
( ( ! [SX0: produc1156025366_r_l_v,SX1: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ SX0 )
!= SX1 )
| ~ ! [SX2: l > option_val_r_l_v] :
( ~ ~ ! [SX3: l > option_val_r_l_v] :
~ ~ ! [SX4: expr_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) )
| ( SX1 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(489,plain,
( ( ! [SX0: produc1164766533_r_l_v] :
~ ! [SX1: l > option_val_r_l_v,SX2: expr_r_l_v] :
( SX0
!= ( produc1834103605_r_l_v @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(490,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: produc1156025366_r_l_v,SX3: r,SX4: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ ( some_P1807977723_r_l_v @ SX2 ) @ SX3 )
= ( some_P1807977723_r_l_v @ SX4 ) )
= ( ~ ( ( SX3 != SX1 )
| ( SX2 != SX4 ) )
| ~ ( ~ ( ( SX3 != SX1 ) )
| ( ( SX0 @ SX3 )
!= ( some_P1807977723_r_l_v @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(491,plain,
( ( ! [SX0: option1457017436_r_l_v] :
( ( ! [SX1: produc1156025366_r_l_v] :
( SX0
!= ( some_P1807977723_r_l_v @ SX1 ) ) )
= ( SX0 = none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(492,plain,
( ( ! [SX0: produc1156025366_r_l_v,SX1: expr_r_l_v] :
( ( ( lID_expression_l_r_v @ SX0 )
!= SX1 )
| ~ ! [SX2: l > option_val_r_l_v,SX3: l > option_val_r_l_v,SX4: expr_r_l_v] :
( ( SX0
!= ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) )
| ( SX1 != SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(493,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: produc1156025366_r_l_v,SX3: r > option1457017436_r_l_v,SX4: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ ( some_P1807977723_r_l_v @ SX2 ) )
!= ( fun_up709272714_r_l_v @ SX3 @ SX1 @ ( some_P1807977723_r_l_v @ SX4 ) ) )
| ( SX2 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(494,plain,
( ( ! [SX0: produc1156025366_r_l_v > $o,SX1: produc1156025366_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] : ( SX0 @ ( produc297528454_r_l_v @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(495,plain,
( ( ! [SX0: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(496,plain,
( ( ! [SX0: r,SX1: r,SX2: r > option1457017436_r_l_v,SX3: option1457017436_r_l_v,SX4: option1457017436_r_l_v] :
( ~ ( ( SX0 != SX1 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SX2 @ SX0 @ SX3 ) @ SX1 @ SX4 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SX2 @ SX1 @ SX4 ) @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(497,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: produc1164766533_r_l_v,SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SX0 @ SX1 )
!= ( produc297528454_r_l_v @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(498,plain,
( ( ! [SX0: produc1156025366_r_l_v > $o,SX1: produc1156025366_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: l > option_val_r_l_v,SX4: expr_r_l_v] : ( SX0 @ ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(499,plain,
( ( ! [SX0: option1457017436_r_l_v,SX1: option1457017436_r_l_v > option1457017436_r_l_v > $o,SX2: option1457017436_r_l_v] :
( ~ ( ( SX0 != none_P277133687_r_l_v )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ( ( SX2 != none_P277133687_r_l_v )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ! [SX3: produc1156025366_r_l_v,SX4: produc1156025366_r_l_v] :
( ( SX0
!= ( some_P1807977723_r_l_v @ SX3 ) )
| ( SX2
!= ( some_P1807977723_r_l_v @ SX4 ) )
| ( SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(500,plain,
( ( ! [SX0: produc1489027110_r_l_v > $o,SX1: produc1489027110_r_l_v] :
( ~ ! [SX2: l > l,SX3: l > option_val_r_l_v,SX4: l > option_val_r_l_v,SX5: expr_r_l_v] : ( SX0 @ ( produc2057232216_r_l_v @ SX2 @ ( produc297528454_r_l_v @ SX3 @ ( produc1834103605_r_l_v @ SX4 @ SX5 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(501,plain,
( ( ! [SX0: produc1164766533_r_l_v > $o,SX1: produc1164766533_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: expr_r_l_v] : ( SX0 @ ( produc1834103605_r_l_v @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(502,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: option1457017436_r_l_v,SX3: r > option1457017436_r_l_v,SX4: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ SX2 )
!= ( fun_up709272714_r_l_v @ SX3 @ SX1 @ SX4 ) )
| ( SX2 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(503,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: produc1156025366_r_l_v] :
( ( ( SX0 @ SX1 )
!= ( some_P1807977723_r_l_v @ SX2 ) )
| ( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ ( some_P1807977723_r_l_v @ SX2 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(504,plain,
( ( ! [SX0: produc1156025366_r_l_v] :
~ ! [SX1: l > option_val_r_l_v,SX2: l > option_val_r_l_v,SX3: expr_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX1 @ ( produc1834103605_r_l_v @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(505,plain,
( ( ! [SX0: produc1164766533_r_l_v] :
~ ! [SX1: l > option_val_r_l_v] :
~ ~ ! [SX2: expr_r_l_v] :
( SX0
!= ( produc1834103605_r_l_v @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(506,plain,
( ( ! [SX0: option1457017436_r_l_v,SX1: produc1156025366_r_l_v] :
( ( SX0
!= ( some_P1807977723_r_l_v @ SX1 ) )
| ( SX0 != none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(507,plain,
( ( ! [SX0: option1457017436_r_l_v] :
( ~ ( ( SX0 != none_P277133687_r_l_v ) )
| ~ ! [SX1: produc1156025366_r_l_v] :
( SX0
!= ( some_P1807977723_r_l_v @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(508,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: produc1164766533_r_l_v,SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SX0 @ SX1 )
= ( produc297528454_r_l_v @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(509,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ ( some_P1807977723_r_l_v @ SX2 ) )
!= ( ^ [SX3: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(510,plain,
( ( ( ^ [SX0: option1457017436_r_l_v > $o] :
! [SX1: option1457017436_r_l_v] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option1457017436_r_l_v > $o] :
~ ( ~ ( SX0 @ none_P277133687_r_l_v )
| ~ ! [SX1: produc1156025366_r_l_v] : ( SX0 @ ( some_P1807977723_r_l_v @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(511,plain,
( ( ( ^ [SX0: option1457017436_r_l_v > $o] :
~ ! [SX1: option1457017436_r_l_v] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option1457017436_r_l_v > $o] :
( ( SX0 @ none_P277133687_r_l_v )
| ~ ! [SX1: produc1156025366_r_l_v] :
~ ( SX0 @ ( some_P1807977723_r_l_v @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(512,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: expr_r_l_v,SX2: l > option_val_r_l_v,SX3: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SX0 @ SX1 )
!= ( produc1834103605_r_l_v @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(513,plain,
( ( ! [SX0: r > option1457017436_r_l_v,SX1: r,SX2: option1457017436_r_l_v] :
( ( ( SX0 @ SX1 )
!= SX2 )
| ( ( fun_up709272714_r_l_v @ SX0 @ SX1 @ SX2 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(514,plain,
( ( ! [SX0: produc1156025366_r_l_v] :
~ ! [SX1: l > option_val_r_l_v] :
~ ~ ! [SX2: produc1164766533_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(515,plain,
( ( ! [SX0: produc1156025366_r_l_v] :
~ ! [SX1: l > option_val_r_l_v,SX2: l > option_val_r_l_v,SX3: expr_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX1 @ ( produc1834103605_r_l_v @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(516,plain,
( ( ! [SX0: expr_r_l_v,SX1: expr_r_l_v] :
( ( rfork_r_l_v @ SX0 )
!= ( rjoin_r_l_v @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(517,plain,
( ( ! [SX0: produc1489027110_r_l_v > $o,SX1: produc1489027110_r_l_v] :
( ~ ! [SX2: l > l,SX3: l > option_val_r_l_v,SX4: produc1164766533_r_l_v] : ( SX0 @ ( produc2057232216_r_l_v @ SX2 @ ( produc297528454_r_l_v @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(518,plain,
( ( ! [SX0: option1457017436_r_l_v > $o,SX1: option1457017436_r_l_v] :
( ~ ( SX0 @ none_P277133687_r_l_v )
| ~ ! [SX2: produc1156025366_r_l_v] : ( SX0 @ ( some_P1807977723_r_l_v @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(519,plain,
( ( ! [SX0: option1457017436_r_l_v] :
( ( SX0 != none_P277133687_r_l_v )
= ( ~ ! [SX1: produc1156025366_r_l_v] :
( SX0
!= ( some_P1807977723_r_l_v @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(520,plain,
( ( ! [SX0: produc1164766533_r_l_v > $o,SX1: produc1164766533_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: expr_r_l_v] : ( SX0 @ ( produc1834103605_r_l_v @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(521,plain,
( ( ! [SX0: r,SX1: r,SX2: r > option1457017436_r_l_v,SX3: produc1156025366_r_l_v] :
( ~ ( ( SX0 != SX1 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SX2 @ SX0 @ ( some_P1807977723_r_l_v @ SX3 ) ) @ SX1 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SX2 @ SX1 @ none_P277133687_r_l_v ) @ SX0 @ ( some_P1807977723_r_l_v @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(522,plain,
( ( ! [SX0: produc1156025366_r_l_v] :
~ ! [SX1: l > option_val_r_l_v,SX2: produc1164766533_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(523,plain,
( ( ! [SX0: produc1156025366_r_l_v > $o,SX1: produc1156025366_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: l > option_val_r_l_v,SX4: expr_r_l_v] : ( SX0 @ ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(524,plain,
( ( ! [SX0: val_r_l_v,SX1: expr_r_l_v] :
( ( vE_r_l_v @ SX0 )
!= ( rfork_r_l_v @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(525,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: expr_r_l_v,SX2: l > option_val_r_l_v,SX3: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SX0 @ SX1 )
= ( produc1834103605_r_l_v @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(526,plain,
( ( ! [SX0: produc1489027110_r_l_v] :
~ ! [SX1: l > l,SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] :
( SX0
!= ( produc2057232216_r_l_v @ SX1 @ ( produc297528454_r_l_v @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(527,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: expr_r_l_v,SX2: l > option_val_r_l_v,SX3: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SX0 @ SX1 )
= ( produc1834103605_r_l_v @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(528,plain,
( ( ! [SX0: l > option_val_r_l_v,SX1: produc1164766533_r_l_v,SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SX0 @ SX1 )
= ( produc297528454_r_l_v @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(529,plain,
( ( ! [SX0: expr_r_l_v,SX1: expr_r_l_v] :
( ( ref_r_l_v @ SX0 )
!= ( rfork_r_l_v @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(530,plain,
( ( ! [SX0: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o,SX1: r > r,SX2: l > l,SX3: produc1156025366_r_l_v] :
( ~ ! [SX4: r > r,SX5: l > l,SX6: l > option_val_r_l_v,SX7: l > option_val_r_l_v,SX8: expr_r_l_v] : ( SX0 @ SX4 @ SX5 @ ( produc297528454_r_l_v @ SX6 @ ( produc1834103605_r_l_v @ SX7 @ SX8 ) ) )
| ( SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(531,plain,
( ( ! [SX0: produc1156025366_r_l_v,SX1: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ SX0 )
!= SX1 )
| ~ ! [SX2: l > option_val_r_l_v,SX3: l > option_val_r_l_v] :
( ~ ~ ! [SX4: expr_r_l_v] :
( SX0
!= ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(532,plain,
( ( ! [SX0: produc1156025366_r_l_v > $o,SX1: produc1156025366_r_l_v] :
( ~ ! [SX2: l > option_val_r_l_v,SX3: produc1164766533_r_l_v] : ( SX0 @ ( produc297528454_r_l_v @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(533,plain,
( ( ! [SX0: produc1489027110_r_l_v] :
~ ! [SX1: l > l,SX2: l > option_val_r_l_v,SX3: l > option_val_r_l_v,SX4: expr_r_l_v] :
( SX0
!= ( produc2057232216_r_l_v @ SX1 @ ( produc297528454_r_l_v @ SX2 @ ( produc1834103605_r_l_v @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(534,plain,
! [SV1: expr_r_l_v] :
( ( ! [SY223: expr_r_l_v] :
( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SY223 ) )
= ( SV1 = SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(535,plain,
! [SV2: cntxt_r_l_v] :
( ( ! [SY224: expr_r_l_v,SY225: expr_r_l_v] :
( ( ( plug_r_l_v @ SV2 @ SY224 )
= ( plug_r_l_v @ SV2 @ SY225 ) )
= ( SY224 = SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(536,plain,
! [SV3: r > option1457017436_r_l_v] :
( ( ! [SY226: r,SY227: option1457017436_r_l_v,SY228: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SY226 @ SY227 ) @ SY226 @ SY228 )
= ( fun_up709272714_r_l_v @ SV3 @ SY226 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(537,plain,
! [SV4: r > option1457017436_r_l_v] :
( ( ! [SY229: r] :
( ( fun_up709272714_r_l_v @ SV4 @ SY229 @ ( SV4 @ SY229 ) )
= SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(538,plain,
( ( ! [SV5: r > option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV5 )
= ( ^ [SY230: r,SY231: option1457017436_r_l_v,SY232: r] : ( if_opt1153928738_r_l_v @ ( SY232 = SY230 ) @ SY231 @ ( SV5 @ SY232 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(539,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,X2: r,Y2: option1457017436_r_l_v,Z2: r] : ( if_opt1153928738_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(540,plain,
! [SV6: produc1156025366_r_l_v] :
( ( ! [SY233: produc1156025366_r_l_v] :
( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SY233 ) )
= ( SV6 = SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(541,plain,
! [SV7: r > option1457017436_r_l_v] :
( ( ! [SY234: r,SY235: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV7 @ SY234 @ SY235 )
= SV7 )
= ( ( SV7 @ SY234 )
= SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(542,plain,
! [SV8: r > option1457017436_r_l_v] :
( ( ! [SY236: r,SY237: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV8 @ SY236 @ SY237 @ SY236 )
= SY237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(543,plain,
( ( ! [SV9: r > option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV9 )
= ( ^ [SY238: r,SY239: option1457017436_r_l_v,SY240: r] : ( if_opt1153928738_r_l_v @ ( SY240 = SY238 ) @ SY239 @ ( SV9 @ SY240 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[455]) ).
thf(544,plain,
( ( fun_up709272714_r_l_v
= ( ^ [F2: r > option1457017436_r_l_v,A4: r,B4: option1457017436_r_l_v,X2: r] : ( if_opt1153928738_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[455]) ).
thf(545,plain,
! [SV10: l > option_val_r_l_v] :
( ( ! [SY241: l > option_val_r_l_v,SY242: expr_r_l_v] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SY241 @ SY242 ) ) )
= SY241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(546,plain,
! [SV11: l > option_val_r_l_v] :
( ( ! [SY243: l > option_val_r_l_v,SY244: expr_r_l_v] :
( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ SV11 @ ( produc1834103605_r_l_v @ SY243 @ SY244 ) ) )
= SY244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(547,plain,
! [SV12: l > option_val_r_l_v] :
( ( ! [SY245: l > option_val_r_l_v,SY246: expr_r_l_v] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SY245 @ SY246 ) ) )
= SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(548,plain,
! [SV13: r] :
( ( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ SV13
@ none_P277133687_r_l_v )
= ( ^ [X2: r] : none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(549,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
| ( SV14 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[485]) ).
thf(550,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[485]) ).
thf(551,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[485]) ).
thf(552,plain,
( ( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(553,plain,
! [SV15: r] :
( ( ! [SY249: r,SY250: r > option1457017436_r_l_v,SY251: option1457017436_r_l_v] :
( ~ ( ( SV15 != SY249 ) )
| ( ( fun_up709272714_r_l_v @ SY250 @ SY249 @ SY251 @ SV15 )
= ( SY250 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(554,plain,
! [SV16: produc1156025366_r_l_v] :
( ( ! [SY252: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ SV16 )
!= SY252 )
| ~ ! [SY253: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY253 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SY252 != SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(555,plain,
! [SV17: produc1164766533_r_l_v] :
( ( ~ ! [SY256: l > option_val_r_l_v,SY257: expr_r_l_v] :
( SV17
!= ( produc1834103605_r_l_v @ SY256 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(556,plain,
! [SV18: r > option1457017436_r_l_v] :
( ( ! [SY258: r,SY259: produc1156025366_r_l_v,SY260: r,SY261: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV18 @ SY258 @ ( some_P1807977723_r_l_v @ SY259 ) @ SY260 )
= ( some_P1807977723_r_l_v @ SY261 ) )
= ( ~ ( ( SY260 != SY258 )
| ( SY259 != SY261 ) )
| ~ ( ~ ( ( SY260 != SY258 ) )
| ( ( SV18 @ SY260 )
!= ( some_P1807977723_r_l_v @ SY261 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(557,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= ( SV19 = none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(558,plain,
! [SV20: produc1156025366_r_l_v] :
( ( ! [SY263: expr_r_l_v] :
( ( ( lID_expression_l_r_v @ SV20 )
!= SY263 )
| ~ ! [SY264: l > option_val_r_l_v,SY265: l > option_val_r_l_v,SY266: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ SY264 @ ( produc1834103605_r_l_v @ SY265 @ SY266 ) ) )
| ( SY263 != SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(559,plain,
! [SV21: r > option1457017436_r_l_v] :
( ( ! [SY267: r,SY268: produc1156025366_r_l_v,SY269: r > option1457017436_r_l_v,SY270: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV21 @ SY267 @ ( some_P1807977723_r_l_v @ SY268 ) )
!= ( fun_up709272714_r_l_v @ SY269 @ SY267 @ ( some_P1807977723_r_l_v @ SY270 ) ) )
| ( SY268 = SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(560,plain,
! [SV22: produc1156025366_r_l_v > $o] :
( ( ! [SY271: produc1156025366_r_l_v] :
( ~ ! [SY272: l > option_val_r_l_v,SY273: produc1164766533_r_l_v] : ( SV22 @ ( produc297528454_r_l_v @ SY272 @ SY273 ) )
| ( SV22 @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(561,plain,
! [SV23: produc1156025366_r_l_v] :
( ( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(562,plain,
! [SV24: r] :
( ( ! [SY274: r,SY275: r > option1457017436_r_l_v,SY276: option1457017436_r_l_v,SY277: option1457017436_r_l_v] :
( ~ ( ( SV24 != SY274 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY275 @ SV24 @ SY276 ) @ SY274 @ SY277 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY275 @ SY274 @ SY277 ) @ SV24 @ SY276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(563,plain,
! [SV25: l > option_val_r_l_v] :
( ( ! [SY278: produc1164766533_r_l_v,SY279: l > option_val_r_l_v,SY280: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV25 @ SY278 )
!= ( produc297528454_r_l_v @ SY279 @ SY280 ) )
| ~ ( ( SV25 != SY279 )
| ( SY278 != SY280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(564,plain,
! [SV26: produc1156025366_r_l_v > $o] :
( ( ! [SY281: produc1156025366_r_l_v] :
( ~ ! [SY282: l > option_val_r_l_v,SY283: l > option_val_r_l_v,SY284: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ SY282 @ ( produc1834103605_r_l_v @ SY283 @ SY284 ) ) )
| ( SV26 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(565,plain,
! [SV27: option1457017436_r_l_v] :
( ( ! [SY285: option1457017436_r_l_v > option1457017436_r_l_v > $o,SY286: option1457017436_r_l_v] :
( ~ ( ( SV27 != none_P277133687_r_l_v )
| ( SY285 @ SV27 @ SY286 ) )
| ~ ( ( SY286 != none_P277133687_r_l_v )
| ( SY285 @ SV27 @ SY286 ) )
| ~ ! [SY287: produc1156025366_r_l_v,SY288: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY287 ) )
| ( SY286
!= ( some_P1807977723_r_l_v @ SY288 ) )
| ( SY285 @ SV27 @ SY286 ) )
| ( SY285 @ SV27 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(566,plain,
! [SV28: produc1489027110_r_l_v > $o] :
( ( ! [SY289: produc1489027110_r_l_v] :
( ~ ! [SY290: l > l,SY291: l > option_val_r_l_v,SY292: l > option_val_r_l_v,SY293: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ SY290 @ ( produc297528454_r_l_v @ SY291 @ ( produc1834103605_r_l_v @ SY292 @ SY293 ) ) ) )
| ( SV28 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(567,plain,
! [SV29: produc1164766533_r_l_v > $o] :
( ( ! [SY294: produc1164766533_r_l_v] :
( ~ ! [SY295: l > option_val_r_l_v,SY296: expr_r_l_v] : ( SV29 @ ( produc1834103605_r_l_v @ SY295 @ SY296 ) )
| ( SV29 @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(568,plain,
! [SV30: r > option1457017436_r_l_v] :
( ( ! [SY297: r,SY298: option1457017436_r_l_v,SY299: r > option1457017436_r_l_v,SY300: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV30 @ SY297 @ SY298 )
!= ( fun_up709272714_r_l_v @ SY299 @ SY297 @ SY300 ) )
| ( SY298 = SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(569,plain,
! [SV31: r > option1457017436_r_l_v] :
( ( ! [SY301: r,SY302: produc1156025366_r_l_v] :
( ( ( SV31 @ SY301 )
!= ( some_P1807977723_r_l_v @ SY302 ) )
| ( ( fun_up709272714_r_l_v @ SV31 @ SY301 @ ( some_P1807977723_r_l_v @ SY302 ) )
= SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(570,plain,
! [SV32: produc1156025366_r_l_v] :
( ( ~ ! [SY303: l > option_val_r_l_v,SY304: l > option_val_r_l_v,SY305: expr_r_l_v] :
( SV32
!= ( produc297528454_r_l_v @ SY303 @ ( produc1834103605_r_l_v @ SY304 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(571,plain,
! [SV33: produc1164766533_r_l_v] :
( ( ~ ! [SY306: l > option_val_r_l_v] :
~ ~ ! [SY307: expr_r_l_v] :
( SV33
!= ( produc1834103605_r_l_v @ SY306 @ SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(572,plain,
! [SV34: option1457017436_r_l_v] :
( ( ! [SY308: produc1156025366_r_l_v] :
( ( SV34
!= ( some_P1807977723_r_l_v @ SY308 ) )
| ( SV34 != none_P277133687_r_l_v ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(573,plain,
! [SV35: option1457017436_r_l_v] :
( ( ~ ( ( SV35 != none_P277133687_r_l_v ) )
| ~ ! [SY309: produc1156025366_r_l_v] :
( SV35
!= ( some_P1807977723_r_l_v @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(574,plain,
! [SV36: l > option_val_r_l_v] :
( ( ! [SY310: produc1164766533_r_l_v,SY311: l > option_val_r_l_v,SY312: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV36 @ SY310 )
= ( produc297528454_r_l_v @ SY311 @ SY312 ) )
= ( ~ ( ( SV36 != SY311 )
| ( SY310 != SY312 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(575,plain,
! [SV37: r > option1457017436_r_l_v] :
( ( ! [SY313: r,SY314: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ SV37 @ SY313 @ ( some_P1807977723_r_l_v @ SY314 ) )
!= ( ^ [SX3: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(576,plain,
( ( ! [SV38: option1457017436_r_l_v > $o] :
( ( ! [SY316: option1457017436_r_l_v] : ( SV38 @ SY316 ) )
= ( ~ ( ~ ( SV38 @ none_P277133687_r_l_v )
| ~ ! [SY317: produc1156025366_r_l_v] : ( SV38 @ ( some_P1807977723_r_l_v @ SY317 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[510]) ).
thf(577,plain,
( ( ( ^ [SX0: option1457017436_r_l_v > $o] :
! [SX1: option1457017436_r_l_v] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option1457017436_r_l_v > $o] :
~ ( ~ ( SX0 @ none_P277133687_r_l_v )
| ~ ! [SX1: produc1156025366_r_l_v] : ( SX0 @ ( some_P1807977723_r_l_v @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[510]) ).
thf(578,plain,
( ( ! [SV39: option1457017436_r_l_v > $o] :
( ( ~ ! [SY318: option1457017436_r_l_v] :
~ ( SV39 @ SY318 ) )
= ( ( SV39 @ none_P277133687_r_l_v )
| ~ ! [SY319: produc1156025366_r_l_v] :
~ ( SV39 @ ( some_P1807977723_r_l_v @ SY319 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(579,plain,
( ( ( ^ [SX0: option1457017436_r_l_v > $o] :
~ ! [SX1: option1457017436_r_l_v] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option1457017436_r_l_v > $o] :
( ( SX0 @ none_P277133687_r_l_v )
| ~ ! [SX1: produc1156025366_r_l_v] :
~ ( SX0 @ ( some_P1807977723_r_l_v @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(580,plain,
! [SV40: l > option_val_r_l_v] :
( ( ! [SY320: expr_r_l_v,SY321: l > option_val_r_l_v,SY322: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV40 @ SY320 )
!= ( produc1834103605_r_l_v @ SY321 @ SY322 ) )
| ~ ( ( SV40 != SY321 )
| ( SY320 != SY322 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(581,plain,
! [SV41: r > option1457017436_r_l_v] :
( ( ! [SY323: r,SY324: option1457017436_r_l_v] :
( ( ( SV41 @ SY323 )
!= SY324 )
| ( ( fun_up709272714_r_l_v @ SV41 @ SY323 @ SY324 )
= SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(582,plain,
! [SV42: produc1156025366_r_l_v] :
( ( ~ ! [SY325: l > option_val_r_l_v] :
~ ~ ! [SY326: produc1164766533_r_l_v] :
( SV42
!= ( produc297528454_r_l_v @ SY325 @ SY326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(583,plain,
! [SV43: produc1156025366_r_l_v] :
( ( ~ ! [SY327: l > option_val_r_l_v,SY328: l > option_val_r_l_v,SY329: expr_r_l_v] :
( SV43
!= ( produc297528454_r_l_v @ SY327 @ ( produc1834103605_r_l_v @ SY328 @ SY329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(584,plain,
! [SV44: expr_r_l_v] :
( ( ! [SY330: expr_r_l_v] :
( ( rfork_r_l_v @ SV44 )
!= ( rjoin_r_l_v @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(585,plain,
! [SV45: produc1489027110_r_l_v > $o] :
( ( ! [SY331: produc1489027110_r_l_v] :
( ~ ! [SY332: l > l,SY333: l > option_val_r_l_v,SY334: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ SY332 @ ( produc297528454_r_l_v @ SY333 @ SY334 ) ) )
| ( SV45 @ SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(586,plain,
! [SV46: option1457017436_r_l_v > $o] :
( ( ! [SY335: option1457017436_r_l_v] :
( ~ ( SV46 @ none_P277133687_r_l_v )
| ~ ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) )
| ( SV46 @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(587,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 != none_P277133687_r_l_v )
= ( ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(588,plain,
! [SV48: produc1164766533_r_l_v > $o] :
( ( ! [SY338: produc1164766533_r_l_v] :
( ~ ! [SY339: l > option_val_r_l_v,SY340: expr_r_l_v] : ( SV48 @ ( produc1834103605_r_l_v @ SY339 @ SY340 ) )
| ( SV48 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(589,plain,
! [SV49: r] :
( ( ! [SY341: r,SY342: r > option1457017436_r_l_v,SY343: produc1156025366_r_l_v] :
( ~ ( ( SV49 != SY341 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY342 @ SV49 @ ( some_P1807977723_r_l_v @ SY343 ) ) @ SY341 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY342 @ SY341 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SY343 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(590,plain,
! [SV50: produc1156025366_r_l_v] :
( ( ~ ! [SY344: l > option_val_r_l_v,SY345: produc1164766533_r_l_v] :
( SV50
!= ( produc297528454_r_l_v @ SY344 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(591,plain,
! [SV51: produc1156025366_r_l_v > $o] :
( ( ! [SY346: produc1156025366_r_l_v] :
( ~ ! [SY347: l > option_val_r_l_v,SY348: l > option_val_r_l_v,SY349: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ SY347 @ ( produc1834103605_r_l_v @ SY348 @ SY349 ) ) )
| ( SV51 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(592,plain,
! [SV52: val_r_l_v] :
( ( ! [SY350: expr_r_l_v] :
( ( vE_r_l_v @ SV52 )
!= ( rfork_r_l_v @ SY350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(593,plain,
! [SV53: l > option_val_r_l_v] :
( ( ! [SY351: expr_r_l_v,SY352: l > option_val_r_l_v,SY353: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV53 @ SY351 )
= ( produc1834103605_r_l_v @ SY352 @ SY353 ) )
= ( ~ ( ( SV53 != SY352 )
| ( SY351 != SY353 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(594,plain,
! [SV54: produc1489027110_r_l_v] :
( ( ~ ! [SY354: l > l,SY355: l > option_val_r_l_v,SY356: produc1164766533_r_l_v] :
( SV54
!= ( produc2057232216_r_l_v @ SY354 @ ( produc297528454_r_l_v @ SY355 @ SY356 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(595,plain,
! [SV55: l > option_val_r_l_v] :
( ( ! [SY357: expr_r_l_v,SY358: l > option_val_r_l_v,SY359: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV55 @ SY357 )
= ( produc1834103605_r_l_v @ SY358 @ SY359 ) )
= ( ~ ( ( SV55 != SY358 )
| ( SY357 != SY359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(596,plain,
! [SV56: l > option_val_r_l_v] :
( ( ! [SY360: produc1164766533_r_l_v,SY361: l > option_val_r_l_v,SY362: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV56 @ SY360 )
= ( produc297528454_r_l_v @ SY361 @ SY362 ) )
= ( ~ ( ( SV56 != SY361 )
| ( SY360 != SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(597,plain,
! [SV57: expr_r_l_v] :
( ( ! [SY363: expr_r_l_v] :
( ( ref_r_l_v @ SV57 )
!= ( rfork_r_l_v @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(598,plain,
! [SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ! [SY364: r > r,SY365: l > l,SY366: produc1156025366_r_l_v] :
( ~ ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) )
| ( SV58 @ SY364 @ SY365 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(599,plain,
! [SV59: produc1156025366_r_l_v] :
( ( ! [SY372: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ SV59 )
!= SY372 )
| ~ ! [SY373: l > option_val_r_l_v,SY374: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY373 @ ( produc1834103605_r_l_v @ SY374 @ SY375 ) ) )
| ( SY372 != SY374 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(600,plain,
! [SV60: produc1156025366_r_l_v > $o] :
( ( ! [SY376: produc1156025366_r_l_v] :
( ~ ! [SY377: l > option_val_r_l_v,SY378: produc1164766533_r_l_v] : ( SV60 @ ( produc297528454_r_l_v @ SY377 @ SY378 ) )
| ( SV60 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(601,plain,
! [SV61: produc1489027110_r_l_v] :
( ( ~ ! [SY379: l > l,SY380: l > option_val_r_l_v,SY381: l > option_val_r_l_v,SY382: expr_r_l_v] :
( SV61
!= ( produc2057232216_r_l_v @ SY379 @ ( produc297528454_r_l_v @ SY380 @ ( produc1834103605_r_l_v @ SY381 @ SY382 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(602,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= ( SV1 = SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(603,plain,
! [SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ! [SY383: expr_r_l_v] :
( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SY383 ) )
= ( SV63 = SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(604,plain,
! [SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ! [SY384: option1457017436_r_l_v,SY385: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SY384 ) @ SV64 @ SY385 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(605,plain,
! [SV65: r,SV4: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV4 @ SV65 @ ( SV4 @ SV65 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(606,plain,
! [SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 )
= ( ^ [SY386: r,SY387: option1457017436_r_l_v,SY388: r] : ( if_opt1153928738_r_l_v @ ( SY388 = SY386 ) @ SY387 @ ( SV66 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(607,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= ( SV6 = SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(608,plain,
! [SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ! [SY389: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SY389 )
= SV7 )
= ( ( SV7 @ SV68 )
= SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(609,plain,
! [SV69: r,SV8: r > option1457017436_r_l_v] :
( ( ! [SY390: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV8 @ SV69 @ SY390 @ SV69 )
= SY390 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(610,plain,
! [SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 )
= ( ^ [SY391: r,SY392: option1457017436_r_l_v,SY393: r] : ( if_opt1153928738_r_l_v @ ( SY393 = SY391 ) @ SY392 @ ( SV70 @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(611,plain,
! [SV71: l > option_val_r_l_v,SV10: l > option_val_r_l_v] :
( ( ! [SY394: expr_r_l_v] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SV71 @ SY394 ) ) )
= SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(612,plain,
! [SV72: l > option_val_r_l_v,SV11: l > option_val_r_l_v] :
( ( ! [SY395: expr_r_l_v] :
( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ SV11 @ ( produc1834103605_r_l_v @ SV72 @ SY395 ) ) )
= SY395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(613,plain,
! [SV73: l > option_val_r_l_v,SV12: l > option_val_r_l_v] :
( ( ! [SY396: expr_r_l_v] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SV73 @ SY396 ) ) )
= SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(614,plain,
! [SV13: r] :
( ( ! [SV74: r] :
( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ SV13
@ none_P277133687_r_l_v
@ SV74 )
= none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(615,plain,
! [SV13: r] :
( ( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ SV13
@ none_P277133687_r_l_v )
= ( ^ [X2: r] : none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(616,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(617,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(618,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(619,plain,
( ( ! [SV75: r] :
( ( s @ SV75 )
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) @ SV75 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[552]) ).
thf(620,plain,
( ( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[552]) ).
thf(621,plain,
! [SV76: r,SV15: r] :
( ( ! [SY398: r > option1457017436_r_l_v,SY399: option1457017436_r_l_v] :
( ~ ( ( SV15 != SV76 ) )
| ( ( fun_up709272714_r_l_v @ SY398 @ SV76 @ SY399 @ SV15 )
= ( SY398 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(622,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ( lID_snapshot_l_r_v @ SV16 )
!= SV77 )
| ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(623,plain,
! [SV17: produc1164766533_r_l_v] :
( ( ! [SY256: l > option_val_r_l_v,SY257: expr_r_l_v] :
( SV17
!= ( produc1834103605_r_l_v @ SY256 @ SY257 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(624,plain,
! [SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ! [SY403: produc1156025366_r_l_v,SY404: r,SY405: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SY403 ) @ SY404 )
= ( some_P1807977723_r_l_v @ SY405 ) )
= ( ~ ( ( SY404 != SV78 )
| ( SY403 != SY405 ) )
| ~ ( ~ ( ( SY404 != SV78 ) )
| ( ( SV18 @ SY404 )
!= ( some_P1807977723_r_l_v @ SY405 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(625,plain,
! [SV19: option1457017436_r_l_v] :
( ( ~ ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 = none_P277133687_r_l_v ) )
| ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(626,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= ( SV19 = none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(627,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ( lID_expression_l_r_v @ SV20 )
!= SV79 )
| ~ ! [SY406: l > option_val_r_l_v,SY407: l > option_val_r_l_v,SY408: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ SY406 @ ( produc1834103605_r_l_v @ SY407 @ SY408 ) ) )
| ( SV79 != SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(628,plain,
! [SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ! [SY409: produc1156025366_r_l_v,SY410: r > option1457017436_r_l_v,SY411: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SY409 ) )
!= ( fun_up709272714_r_l_v @ SY410 @ SV80 @ ( some_P1807977723_r_l_v @ SY411 ) ) )
| ( SY409 = SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(629,plain,
! [SV81: produc1156025366_r_l_v,SV22: produc1156025366_r_l_v > $o] :
( ( ~ ! [SY272: l > option_val_r_l_v,SY273: produc1164766533_r_l_v] : ( SV22 @ ( produc297528454_r_l_v @ SY272 @ SY273 ) )
| ( SV22 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(630,plain,
! [SV23: produc1156025366_r_l_v] :
( ( none_P277133687_r_l_v
= ( some_P1807977723_r_l_v @ SV23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(631,plain,
! [SV82: r,SV24: r] :
( ( ! [SY414: r > option1457017436_r_l_v,SY415: option1457017436_r_l_v,SY416: option1457017436_r_l_v] :
( ~ ( ( SV24 != SV82 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY414 @ SV24 @ SY415 ) @ SV82 @ SY416 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY414 @ SV82 @ SY416 ) @ SV24 @ SY415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(632,plain,
! [SV83: produc1164766533_r_l_v,SV25: l > option_val_r_l_v] :
( ( ! [SY417: l > option_val_r_l_v,SY418: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
!= ( produc297528454_r_l_v @ SY417 @ SY418 ) )
| ~ ( ( SV25 != SY417 )
| ( SV83 != SY418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(633,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ~ ! [SY282: l > option_val_r_l_v,SY283: l > option_val_r_l_v,SY284: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ SY282 @ ( produc1834103605_r_l_v @ SY283 @ SY284 ) ) )
| ( SV26 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(634,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ! [SY422: option1457017436_r_l_v] :
( ~ ( ( SV27 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SY422 ) )
| ~ ( ( SY422 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SY422 ) )
| ~ ! [SY423: produc1156025366_r_l_v,SY424: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY423 ) )
| ( SY422
!= ( some_P1807977723_r_l_v @ SY424 ) )
| ( SV85 @ SV27 @ SY422 ) )
| ( SV85 @ SV27 @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(635,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ~ ! [SY290: l > l,SY291: l > option_val_r_l_v,SY292: l > option_val_r_l_v,SY293: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ SY290 @ ( produc297528454_r_l_v @ SY291 @ ( produc1834103605_r_l_v @ SY292 @ SY293 ) ) ) )
| ( SV28 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(636,plain,
! [SV87: produc1164766533_r_l_v,SV29: produc1164766533_r_l_v > $o] :
( ( ~ ! [SY295: l > option_val_r_l_v,SY296: expr_r_l_v] : ( SV29 @ ( produc1834103605_r_l_v @ SY295 @ SY296 ) )
| ( SV29 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(637,plain,
! [SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ! [SY431: option1457017436_r_l_v,SY432: r > option1457017436_r_l_v,SY433: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SY431 )
!= ( fun_up709272714_r_l_v @ SY432 @ SV88 @ SY433 ) )
| ( SY431 = SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(638,plain,
! [SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ! [SY434: produc1156025366_r_l_v] :
( ( ( SV31 @ SV89 )
!= ( some_P1807977723_r_l_v @ SY434 ) )
| ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SY434 ) )
= SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(639,plain,
! [SV32: produc1156025366_r_l_v] :
( ( ! [SY303: l > option_val_r_l_v,SY304: l > option_val_r_l_v,SY305: expr_r_l_v] :
( SV32
!= ( produc297528454_r_l_v @ SY303 @ ( produc1834103605_r_l_v @ SY304 @ SY305 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(640,plain,
! [SV33: produc1164766533_r_l_v] :
( ( ! [SY306: l > option_val_r_l_v] :
~ ~ ! [SY307: expr_r_l_v] :
( SV33
!= ( produc1834103605_r_l_v @ SY306 @ SY307 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(641,plain,
! [SV90: produc1156025366_r_l_v,SV34: option1457017436_r_l_v] :
( ( ( SV34
!= ( some_P1807977723_r_l_v @ SV90 ) )
| ( SV34 != none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(642,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( ~ ( ( SV35 != none_P277133687_r_l_v ) ) )
= $true )
| ( ( ~ ! [SY309: produc1156025366_r_l_v] :
( SV35
!= ( some_P1807977723_r_l_v @ SY309 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(643,plain,
! [SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ! [SY435: l > option_val_r_l_v,SY436: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SY435 @ SY436 ) )
= ( ~ ( ( SV36 != SY435 )
| ( SV91 != SY436 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(644,plain,
! [SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ! [SY437: produc1156025366_r_l_v] :
( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SY437 ) )
!= ( ^ [SX3: r] : none_P277133687_r_l_v ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(645,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= ( ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(646,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(647,plain,
! [SV95: expr_r_l_v,SV40: l > option_val_r_l_v] :
( ( ! [SY443: l > option_val_r_l_v,SY444: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
!= ( produc1834103605_r_l_v @ SY443 @ SY444 ) )
| ~ ( ( SV40 != SY443 )
| ( SV95 != SY444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(648,plain,
! [SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ! [SY445: option1457017436_r_l_v] :
( ( ( SV41 @ SV96 )
!= SY445 )
| ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SY445 )
= SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(649,plain,
! [SV42: produc1156025366_r_l_v] :
( ( ! [SY325: l > option_val_r_l_v] :
~ ~ ! [SY326: produc1164766533_r_l_v] :
( SV42
!= ( produc297528454_r_l_v @ SY325 @ SY326 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(650,plain,
! [SV43: produc1156025366_r_l_v] :
( ( ! [SY327: l > option_val_r_l_v,SY328: l > option_val_r_l_v,SY329: expr_r_l_v] :
( SV43
!= ( produc297528454_r_l_v @ SY327 @ ( produc1834103605_r_l_v @ SY328 @ SY329 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(651,plain,
! [SV97: expr_r_l_v,SV44: expr_r_l_v] :
( ( ( rfork_r_l_v @ SV44 )
!= ( rjoin_r_l_v @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(652,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ~ ! [SY332: l > l,SY333: l > option_val_r_l_v,SY334: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ SY332 @ ( produc297528454_r_l_v @ SY333 @ SY334 ) ) )
| ( SV45 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(653,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ~ ( SV46 @ none_P277133687_r_l_v )
| ~ ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) )
| ( SV46 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(654,plain,
! [SV47: option1457017436_r_l_v] :
( ( ~ ( ( SV47 != none_P277133687_r_l_v )
| ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
| ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[587]) ).
thf(655,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 != none_P277133687_r_l_v )
= ( ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[587]) ).
thf(656,plain,
! [SV100: produc1164766533_r_l_v,SV48: produc1164766533_r_l_v > $o] :
( ( ~ ! [SY339: l > option_val_r_l_v,SY340: expr_r_l_v] : ( SV48 @ ( produc1834103605_r_l_v @ SY339 @ SY340 ) )
| ( SV48 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(657,plain,
! [SV101: r,SV49: r] :
( ( ! [SY452: r > option1457017436_r_l_v,SY453: produc1156025366_r_l_v] :
( ~ ( ( SV49 != SV101 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY452 @ SV49 @ ( some_P1807977723_r_l_v @ SY453 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SY452 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SY453 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(658,plain,
! [SV50: produc1156025366_r_l_v] :
( ( ! [SY344: l > option_val_r_l_v,SY345: produc1164766533_r_l_v] :
( SV50
!= ( produc297528454_r_l_v @ SY344 @ SY345 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(659,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ~ ! [SY347: l > option_val_r_l_v,SY348: l > option_val_r_l_v,SY349: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ SY347 @ ( produc1834103605_r_l_v @ SY348 @ SY349 ) ) )
| ( SV51 @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(660,plain,
! [SV103: expr_r_l_v,SV52: val_r_l_v] :
( ( ( vE_r_l_v @ SV52 )
!= ( rfork_r_l_v @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(661,plain,
! [SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ! [SY457: l > option_val_r_l_v,SY458: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SY457 @ SY458 ) )
= ( ~ ( ( SV53 != SY457 )
| ( SV104 != SY458 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(662,plain,
! [SV54: produc1489027110_r_l_v] :
( ( ! [SY354: l > l,SY355: l > option_val_r_l_v,SY356: produc1164766533_r_l_v] :
( SV54
!= ( produc2057232216_r_l_v @ SY354 @ ( produc297528454_r_l_v @ SY355 @ SY356 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(663,plain,
! [SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ! [SY459: l > option_val_r_l_v,SY460: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SY459 @ SY460 ) )
= ( ~ ( ( SV55 != SY459 )
| ( SV105 != SY460 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(664,plain,
! [SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ! [SY461: l > option_val_r_l_v,SY462: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SY461 @ SY462 ) )
= ( ~ ( ( SV56 != SY461 )
| ( SV106 != SY462 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(665,plain,
! [SV107: expr_r_l_v,SV57: expr_r_l_v] :
( ( ( ref_r_l_v @ SV57 )
!= ( rfork_r_l_v @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(666,plain,
! [SV108: r > r,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ! [SY463: l > l,SY464: produc1156025366_r_l_v] :
( ~ ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) )
| ( SV58 @ SV108 @ SY463 @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(667,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ( lID_lo1265057957_l_r_v @ SV59 )
!= SV109 )
| ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(668,plain,
! [SV110: produc1156025366_r_l_v,SV60: produc1156025366_r_l_v > $o] :
( ( ~ ! [SY377: l > option_val_r_l_v,SY378: produc1164766533_r_l_v] : ( SV60 @ ( produc297528454_r_l_v @ SY377 @ SY378 ) )
| ( SV60 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(669,plain,
! [SV61: produc1489027110_r_l_v] :
( ( ! [SY379: l > l,SY380: l > option_val_r_l_v,SY381: l > option_val_r_l_v,SY382: expr_r_l_v] :
( SV61
!= ( produc2057232216_r_l_v @ SY379 @ ( produc297528454_r_l_v @ SY380 @ ( produc1834103605_r_l_v @ SY381 @ SY382 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(670,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ~ ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
| ( SV1 = SV62 ) )
| ~ ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[602]) ).
thf(671,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= ( SV1 = SV62 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[602]) ).
thf(672,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= ( SV63 = SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(673,plain,
! [SV112: option1457017436_r_l_v,SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ! [SY475: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV112 ) @ SV64 @ SY475 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SY475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(674,plain,
! [SV65: r,SV4: r > option1457017436_r_l_v] :
( ( ! [SV113: r] :
( ( fun_up709272714_r_l_v @ SV4 @ SV65 @ ( SV4 @ SV65 ) @ SV113 )
= ( SV4 @ SV113 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(675,plain,
! [SV65: r,SV4: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV4 @ SV65 @ ( SV4 @ SV65 ) )
= SV4 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(676,plain,
! [SV66: r > option1457017436_r_l_v] :
( ( ! [SV114: r] :
( ( fun_up709272714_r_l_v @ SV66 @ SV114 )
= ( ^ [SY476: option1457017436_r_l_v,SY477: r] : ( if_opt1153928738_r_l_v @ ( SY477 = SV114 ) @ SY476 @ ( SV66 @ SY477 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(677,plain,
! [SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 )
= ( ^ [SY386: r,SY387: option1457017436_r_l_v,SY388: r] : ( if_opt1153928738_r_l_v @ ( SY388 = SY386 ) @ SY387 @ ( SV66 @ SY388 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(678,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 = SV67 ) )
| ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(679,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= ( SV6 = SV67 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(680,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= ( ( SV7 @ SV68 )
= SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(681,plain,
! [SV116: option1457017436_r_l_v,SV69: r,SV8: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV8 @ SV69 @ SV116 @ SV69 )
= SV116 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(682,plain,
! [SV70: r > option1457017436_r_l_v] :
( ( ! [SV117: r] :
( ( fun_up709272714_r_l_v @ SV70 @ SV117 )
= ( ^ [SY478: option1457017436_r_l_v,SY479: r] : ( if_opt1153928738_r_l_v @ ( SY479 = SV117 ) @ SY478 @ ( SV70 @ SY479 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[610]) ).
thf(683,plain,
! [SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 )
= ( ^ [SY391: r,SY392: option1457017436_r_l_v,SY393: r] : ( if_opt1153928738_r_l_v @ ( SY393 = SY391 ) @ SY392 @ ( SV70 @ SY393 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[610]) ).
thf(684,plain,
! [SV118: expr_r_l_v,SV71: l > option_val_r_l_v,SV10: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SV71 @ SV118 ) ) )
= SV71 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(685,plain,
! [SV119: expr_r_l_v,SV72: l > option_val_r_l_v,SV11: l > option_val_r_l_v] :
( ( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ SV11 @ ( produc1834103605_r_l_v @ SV72 @ SV119 ) ) )
= SV119 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(686,plain,
! [SV120: expr_r_l_v,SV73: l > option_val_r_l_v,SV12: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SV73 @ SV120 ) ) )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(687,plain,
! [SV121: r,SV13: r] :
( ( ( fun_up709272714_r_l_v
@ ^ [X2: r] : none_P277133687_r_l_v
@ SV13
@ none_P277133687_r_l_v
@ SV121 )
= none_P277133687_r_l_v )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(688,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $true )
| ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(689,plain,
! [SV14: $o] :
( ( ( SV14 = $true )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(690,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(691,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(692,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(693,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(694,plain,
( ( ( s @ sK1_SV75 )
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) @ sK1_SV75 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[619]) ).
thf(695,plain,
! [SV122: r > option1457017436_r_l_v,SV76: r,SV15: r] :
( ( ! [SY481: option1457017436_r_l_v] :
( ~ ( ( SV15 != SV76 ) )
| ( ( fun_up709272714_r_l_v @ SV122 @ SV76 @ SY481 @ SV15 )
= ( SV122 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(696,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ( lID_snapshot_l_r_v @ SV16 )
!= SV77 )
= $true )
| ( ( ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(697,plain,
! [SV17: produc1164766533_r_l_v] :
( ( ! [SY482: expr_r_l_v] :
( SV17
!= ( produc1834103605_r_l_v @ ( sK2_SY256 @ SV17 ) @ SY482 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[623]) ).
thf(698,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ! [SY483: r,SY484: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SY483 )
= ( some_P1807977723_r_l_v @ SY484 ) )
= ( ~ ( ( SY483 != SV78 )
| ( SV123 != SY484 ) )
| ~ ( ~ ( ( SY483 != SV78 ) )
| ( ( SV18 @ SY483 )
!= ( some_P1807977723_r_l_v @ SY484 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(699,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ~ ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 = none_P277133687_r_l_v ) ) )
= $true )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(700,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ( lID_expression_l_r_v @ SV20 )
!= SV79 )
= $true )
| ( ( ~ ! [SY406: l > option_val_r_l_v,SY407: l > option_val_r_l_v,SY408: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ SY406 @ ( produc1834103605_r_l_v @ SY407 @ SY408 ) ) )
| ( SV79 != SY408 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(701,plain,
! [SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ! [SY485: r > option1457017436_r_l_v,SY486: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
!= ( fun_up709272714_r_l_v @ SY485 @ SV80 @ ( some_P1807977723_r_l_v @ SY486 ) ) )
| ( SV124 = SY486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(702,plain,
! [SV81: produc1156025366_r_l_v,SV22: produc1156025366_r_l_v > $o] :
( ( ( ~ ! [SY272: l > option_val_r_l_v,SY273: produc1164766533_r_l_v] : ( SV22 @ ( produc297528454_r_l_v @ SY272 @ SY273 ) ) )
= $true )
| ( ( SV22 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(703,plain,
! [SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ! [SY487: option1457017436_r_l_v,SY488: option1457017436_r_l_v] :
( ~ ( ( SV24 != SV82 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SY487 ) @ SV82 @ SY488 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SY488 ) @ SV24 @ SY487 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(704,plain,
! [SV126: l > option_val_r_l_v,SV83: produc1164766533_r_l_v,SV25: l > option_val_r_l_v] :
( ( ! [SY489: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
!= ( produc297528454_r_l_v @ SV126 @ SY489 ) )
| ~ ( ( SV25 != SV126 )
| ( SV83 != SY489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(705,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ( ~ ! [SY282: l > option_val_r_l_v,SY283: l > option_val_r_l_v,SY284: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ SY282 @ ( produc1834103605_r_l_v @ SY283 @ SY284 ) ) ) )
= $true )
| ( ( SV26 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(706,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ~ ( ( SV27 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(707,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( ~ ! [SY290: l > l,SY291: l > option_val_r_l_v,SY292: l > option_val_r_l_v,SY293: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ SY290 @ ( produc297528454_r_l_v @ SY291 @ ( produc1834103605_r_l_v @ SY292 @ SY293 ) ) ) ) )
= $true )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(708,plain,
! [SV87: produc1164766533_r_l_v,SV29: produc1164766533_r_l_v > $o] :
( ( ( ~ ! [SY295: l > option_val_r_l_v,SY296: expr_r_l_v] : ( SV29 @ ( produc1834103605_r_l_v @ SY295 @ SY296 ) ) )
= $true )
| ( ( SV29 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(709,plain,
! [SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ! [SY492: r > option1457017436_r_l_v,SY493: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
!= ( fun_up709272714_r_l_v @ SY492 @ SV88 @ SY493 ) )
| ( SV128 = SY493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(710,plain,
! [SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ( SV31 @ SV89 )
!= ( some_P1807977723_r_l_v @ SV129 ) )
| ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) )
= SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(711,plain,
! [SV32: produc1156025366_r_l_v] :
( ( ! [SY494: l > option_val_r_l_v,SY495: expr_r_l_v] :
( SV32
!= ( produc297528454_r_l_v @ ( sK3_SY303 @ SV32 ) @ ( produc1834103605_r_l_v @ SY494 @ SY495 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[639]) ).
thf(712,plain,
! [SV33: produc1164766533_r_l_v] :
( ( ~ ~ ! [SY496: expr_r_l_v] :
( SV33
!= ( produc1834103605_r_l_v @ ( sK4_SY306 @ SV33 ) @ SY496 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[640]) ).
thf(713,plain,
! [SV90: produc1156025366_r_l_v,SV34: option1457017436_r_l_v] :
( ( ( SV34
!= ( some_P1807977723_r_l_v @ SV90 ) )
= $true )
| ( ( SV34 != none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(714,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( SV35 != none_P277133687_r_l_v )
= $false )
| ( ( ~ ! [SY309: produc1156025366_r_l_v] :
( SV35
!= ( some_P1807977723_r_l_v @ SY309 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(715,plain,
! [SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ! [SY497: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SY497 ) )
= ( ~ ( ( SV36 != SV130 )
| ( SV91 != SY497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(716,plain,
! [SV131: produc1156025366_r_l_v,SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SV131 ) )
!= ( ^ [SX3: r] : none_P277133687_r_l_v ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(717,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ~ ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
| ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(718,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= ( ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(719,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ~ ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
| ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(720,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(721,plain,
! [SV132: l > option_val_r_l_v,SV95: expr_r_l_v,SV40: l > option_val_r_l_v] :
( ( ! [SY499: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
!= ( produc1834103605_r_l_v @ SV132 @ SY499 ) )
| ~ ( ( SV40 != SV132 )
| ( SV95 != SY499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(722,plain,
! [SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ( SV41 @ SV96 )
!= SV133 )
| ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 )
= SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(723,plain,
! [SV42: produc1156025366_r_l_v] :
( ( ~ ~ ! [SY500: produc1164766533_r_l_v] :
( SV42
!= ( produc297528454_r_l_v @ ( sK5_SY325 @ SV42 ) @ SY500 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(724,plain,
! [SV43: produc1156025366_r_l_v] :
( ( ! [SY501: l > option_val_r_l_v,SY502: expr_r_l_v] :
( SV43
!= ( produc297528454_r_l_v @ ( sK6_SY327 @ SV43 ) @ ( produc1834103605_r_l_v @ SY501 @ SY502 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[650]) ).
thf(725,plain,
! [SV97: expr_r_l_v,SV44: expr_r_l_v] :
( ( ( rfork_r_l_v @ SV44 )
= ( rjoin_r_l_v @ SV97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(726,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ( ~ ! [SY332: l > l,SY333: l > option_val_r_l_v,SY334: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ SY332 @ ( produc297528454_r_l_v @ SY333 @ SY334 ) ) ) )
= $true )
| ( ( SV45 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(727,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV46 @ none_P277133687_r_l_v ) )
= $true )
| ( ( ~ ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) )
| ( SV46 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(728,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ( ( SV47 != none_P277133687_r_l_v )
| ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(729,plain,
! [SV100: produc1164766533_r_l_v,SV48: produc1164766533_r_l_v > $o] :
( ( ( ~ ! [SY339: l > option_val_r_l_v,SY340: expr_r_l_v] : ( SV48 @ ( produc1834103605_r_l_v @ SY339 @ SY340 ) ) )
= $true )
| ( ( SV48 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(730,plain,
! [SV134: r > option1457017436_r_l_v,SV101: r,SV49: r] :
( ( ! [SY503: produc1156025366_r_l_v] :
( ~ ( ( SV49 != SV101 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SY503 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SY503 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(731,plain,
! [SV50: produc1156025366_r_l_v] :
( ( ! [SY504: produc1164766533_r_l_v] :
( SV50
!= ( produc297528454_r_l_v @ ( sK7_SY344 @ SV50 ) @ SY504 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(732,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ( ~ ! [SY347: l > option_val_r_l_v,SY348: l > option_val_r_l_v,SY349: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ SY347 @ ( produc1834103605_r_l_v @ SY348 @ SY349 ) ) ) )
= $true )
| ( ( SV51 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(733,plain,
! [SV103: expr_r_l_v,SV52: val_r_l_v] :
( ( ( vE_r_l_v @ SV52 )
= ( rfork_r_l_v @ SV103 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(734,plain,
! [SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ! [SY505: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SY505 ) )
= ( ~ ( ( SV53 != SV135 )
| ( SV104 != SY505 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(735,plain,
! [SV54: produc1489027110_r_l_v] :
( ( ! [SY506: l > option_val_r_l_v,SY507: produc1164766533_r_l_v] :
( SV54
!= ( produc2057232216_r_l_v @ ( sK8_SY354 @ SV54 ) @ ( produc297528454_r_l_v @ SY506 @ SY507 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[662]) ).
thf(736,plain,
! [SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ! [SY508: expr_r_l_v] :
( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SY508 ) )
= ( ~ ( ( SV55 != SV136 )
| ( SV105 != SY508 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(737,plain,
! [SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ! [SY509: produc1164766533_r_l_v] :
( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SY509 ) )
= ( ~ ( ( SV56 != SV137 )
| ( SV106 != SY509 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(738,plain,
! [SV107: expr_r_l_v,SV57: expr_r_l_v] :
( ( ( ref_r_l_v @ SV57 )
= ( rfork_r_l_v @ SV107 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(739,plain,
! [SV138: l > l,SV108: r > r,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ! [SY510: produc1156025366_r_l_v] :
( ~ ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) )
| ( SV58 @ SV108 @ SV138 @ SY510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(740,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ( lID_lo1265057957_l_r_v @ SV59 )
!= SV109 )
= $true )
| ( ( ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(741,plain,
! [SV110: produc1156025366_r_l_v,SV60: produc1156025366_r_l_v > $o] :
( ( ( ~ ! [SY377: l > option_val_r_l_v,SY378: produc1164766533_r_l_v] : ( SV60 @ ( produc297528454_r_l_v @ SY377 @ SY378 ) ) )
= $true )
| ( ( SV60 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(742,plain,
! [SV61: produc1489027110_r_l_v] :
( ( ! [SY516: l > option_val_r_l_v,SY517: l > option_val_r_l_v,SY518: expr_r_l_v] :
( SV61
!= ( produc2057232216_r_l_v @ ( sK9_SY379 @ SV61 ) @ ( produc297528454_r_l_v @ SY516 @ ( produc1834103605_r_l_v @ SY517 @ SY518 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[669]) ).
thf(743,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ~ ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
| ( SV1 = SV62 ) ) )
= $true )
| ( ( ~ ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(744,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 = SV111 ) )
| ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[672]) ).
thf(745,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= ( SV63 = SV111 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[672]) ).
thf(746,plain,
! [SV139: option1457017436_r_l_v,SV112: option1457017436_r_l_v,SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV112 ) @ SV64 @ SV139 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(747,plain,
! [SV140: r,SV65: r,SV4: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV4 @ SV65 @ ( SV4 @ SV65 ) @ SV140 )
= ( SV4 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(748,plain,
! [SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 @ SV141 )
= ( ^ [SY519: option1457017436_r_l_v,SY520: r] : ( if_opt1153928738_r_l_v @ ( SY520 = SV141 ) @ SY519 @ ( SV66 @ SY520 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(749,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 = SV67 ) ) )
= $true )
| ( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(750,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
| ( ( SV7 @ SV68 )
= SV115 ) )
| ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(751,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= ( ( SV7 @ SV68 )
= SV115 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(752,plain,
! [SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 @ SV142 )
= ( ^ [SY521: option1457017436_r_l_v,SY522: r] : ( if_opt1153928738_r_l_v @ ( SY522 = SV142 ) @ SY521 @ ( SV70 @ SY522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(753,plain,
! [SV118: expr_r_l_v,SV71: l > option_val_r_l_v,SV10: l > option_val_r_l_v] :
( ( ! [SV143: l] :
( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SV71 @ SV118 ) ) @ SV143 )
= ( SV71 @ SV143 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[684]) ).
thf(754,plain,
! [SV118: expr_r_l_v,SV71: l > option_val_r_l_v,SV10: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SV71 @ SV118 ) ) )
= SV71 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[684]) ).
thf(755,plain,
! [SV120: expr_r_l_v,SV73: l > option_val_r_l_v,SV12: l > option_val_r_l_v] :
( ( ! [SV144: l] :
( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SV73 @ SV120 ) ) @ SV144 )
= ( SV12 @ SV144 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[686]) ).
thf(756,plain,
! [SV120: expr_r_l_v,SV73: l > option_val_r_l_v,SV12: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SV73 @ SV120 ) ) )
= SV12 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[686]) ).
thf(757,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $true ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(758,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(759,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(760,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(761,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[691]) ).
thf(762,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[691]) ).
thf(763,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(764,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[693]) ).
thf(765,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[693]) ).
thf(766,plain,
! [SV145: option1457017436_r_l_v,SV122: r > option1457017436_r_l_v,SV76: r,SV15: r] :
( ( ~ ( ( SV15 != SV76 ) )
| ( ( fun_up709272714_r_l_v @ SV122 @ SV76 @ SV145 @ SV15 )
= ( SV122 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(767,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false )
| ( ( ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(768,plain,
! [SV17: produc1164766533_r_l_v] :
( ( SV17
!= ( produc1834103605_r_l_v @ ( sK2_SY256 @ SV17 ) @ ( sK10_SY482 @ SV17 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[697]) ).
thf(769,plain,
! [SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ! [SY523: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SY523 ) )
= ( ~ ( ( SV146 != SV78 )
| ( SV123 != SY523 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SY523 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(770,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 = none_P277133687_r_l_v ) )
= $false )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(771,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false )
| ( ( ~ ! [SY406: l > option_val_r_l_v,SY407: l > option_val_r_l_v,SY408: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ SY406 @ ( produc1834103605_r_l_v @ SY407 @ SY408 ) ) )
| ( SV79 != SY408 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(772,plain,
! [SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ! [SY524: produc1156025366_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
!= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SY524 ) ) )
| ( SV124 = SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(773,plain,
! [SV81: produc1156025366_r_l_v,SV22: produc1156025366_r_l_v > $o] :
( ( ( ! [SY272: l > option_val_r_l_v,SY273: produc1164766533_r_l_v] : ( SV22 @ ( produc297528454_r_l_v @ SY272 @ SY273 ) ) )
= $false )
| ( ( SV22 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(774,plain,
! [SV148: option1457017436_r_l_v,SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ! [SY525: option1457017436_r_l_v] :
( ~ ( ( SV24 != SV82 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SY525 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SY525 ) @ SV24 @ SV148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(775,plain,
! [SV149: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV83: produc1164766533_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
!= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
| ~ ( ( SV25 != SV126 )
| ( SV83 != SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(776,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ( ! [SY282: l > option_val_r_l_v,SY283: l > option_val_r_l_v,SY284: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ SY282 @ ( produc1834103605_r_l_v @ SY283 @ SY284 ) ) ) )
= $false )
| ( ( SV26 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(777,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ~ ( ( SV27 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(778,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( ! [SY290: l > l,SY291: l > option_val_r_l_v,SY292: l > option_val_r_l_v,SY293: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ SY290 @ ( produc297528454_r_l_v @ SY291 @ ( produc1834103605_r_l_v @ SY292 @ SY293 ) ) ) ) )
= $false )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(779,plain,
! [SV87: produc1164766533_r_l_v,SV29: produc1164766533_r_l_v > $o] :
( ( ( ! [SY295: l > option_val_r_l_v,SY296: expr_r_l_v] : ( SV29 @ ( produc1834103605_r_l_v @ SY295 @ SY296 ) ) )
= $false )
| ( ( SV29 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(780,plain,
! [SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ! [SY526: option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
!= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SY526 ) )
| ( SV128 = SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(781,plain,
! [SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ( SV31 @ SV89 )
!= ( some_P1807977723_r_l_v @ SV129 ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) )
= SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(782,plain,
! [SV32: produc1156025366_r_l_v] :
( ( ! [SY527: expr_r_l_v] :
( SV32
!= ( produc297528454_r_l_v @ ( sK3_SY303 @ SV32 ) @ ( produc1834103605_r_l_v @ ( sK11_SY494 @ SV32 ) @ SY527 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[711]) ).
thf(783,plain,
! [SV33: produc1164766533_r_l_v] :
( ( ~ ! [SY496: expr_r_l_v] :
( SV33
!= ( produc1834103605_r_l_v @ ( sK4_SY306 @ SV33 ) @ SY496 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(784,plain,
! [SV90: produc1156025366_r_l_v,SV34: option1457017436_r_l_v] :
( ( ( SV34
= ( some_P1807977723_r_l_v @ SV90 ) )
= $false )
| ( ( SV34 != none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(785,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( SV35 = none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY309: produc1156025366_r_l_v] :
( SV35
!= ( some_P1807977723_r_l_v @ SY309 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(786,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(787,plain,
! [SV131: produc1156025366_r_l_v,SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SV131 ) )
= ( ^ [SX3: r] : none_P277133687_r_l_v ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(788,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(789,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(790,plain,
! [SV152: expr_r_l_v,SV132: l > option_val_r_l_v,SV95: expr_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
!= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
| ~ ( ( SV40 != SV132 )
| ( SV95 != SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(791,plain,
! [SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ( SV41 @ SV96 )
!= SV133 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 )
= SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(792,plain,
! [SV42: produc1156025366_r_l_v] :
( ( ~ ! [SY500: produc1164766533_r_l_v] :
( SV42
!= ( produc297528454_r_l_v @ ( sK5_SY325 @ SV42 ) @ SY500 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[723]) ).
thf(793,plain,
! [SV43: produc1156025366_r_l_v] :
( ( ! [SY528: expr_r_l_v] :
( SV43
!= ( produc297528454_r_l_v @ ( sK6_SY327 @ SV43 ) @ ( produc1834103605_r_l_v @ ( sK12_SY501 @ SV43 ) @ SY528 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(794,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ( ! [SY332: l > l,SY333: l > option_val_r_l_v,SY334: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ SY332 @ ( produc297528454_r_l_v @ SY333 @ SY334 ) ) ) )
= $false )
| ( ( SV45 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(795,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ( SV46 @ none_P277133687_r_l_v )
= $false )
| ( ( ~ ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) )
| ( SV46 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(796,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ( SV47 != none_P277133687_r_l_v )
| ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(797,plain,
! [SV100: produc1164766533_r_l_v,SV48: produc1164766533_r_l_v > $o] :
( ( ( ! [SY339: l > option_val_r_l_v,SY340: expr_r_l_v] : ( SV48 @ ( produc1834103605_r_l_v @ SY339 @ SY340 ) ) )
= $false )
| ( ( SV48 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(798,plain,
! [SV153: produc1156025366_r_l_v,SV134: r > option1457017436_r_l_v,SV101: r,SV49: r] :
( ( ~ ( ( SV49 != SV101 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(799,plain,
! [SV50: produc1156025366_r_l_v] :
( ( SV50
!= ( produc297528454_r_l_v @ ( sK7_SY344 @ SV50 ) @ ( sK13_SY504 @ SV50 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[731]) ).
thf(800,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ( ! [SY347: l > option_val_r_l_v,SY348: l > option_val_r_l_v,SY349: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ SY347 @ ( produc1834103605_r_l_v @ SY348 @ SY349 ) ) ) )
= $false )
| ( ( SV51 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(801,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(802,plain,
! [SV54: produc1489027110_r_l_v] :
( ( ! [SY529: produc1164766533_r_l_v] :
( SV54
!= ( produc2057232216_r_l_v @ ( sK8_SY354 @ SV54 ) @ ( produc297528454_r_l_v @ ( sK14_SY506 @ SV54 ) @ SY529 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[735]) ).
thf(803,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(804,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(805,plain,
! [SV157: produc1156025366_r_l_v,SV138: l > l,SV108: r > r,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ~ ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) )
| ( SV58 @ SV108 @ SV138 @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(806,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false )
| ( ( ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(807,plain,
! [SV110: produc1156025366_r_l_v,SV60: produc1156025366_r_l_v > $o] :
( ( ( ! [SY377: l > option_val_r_l_v,SY378: produc1164766533_r_l_v] : ( SV60 @ ( produc297528454_r_l_v @ SY377 @ SY378 ) ) )
= $false )
| ( ( SV60 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(808,plain,
! [SV61: produc1489027110_r_l_v] :
( ( ! [SY535: l > option_val_r_l_v,SY536: expr_r_l_v] :
( SV61
!= ( produc2057232216_r_l_v @ ( sK9_SY379 @ SV61 ) @ ( produc297528454_r_l_v @ ( sK15_SY516 @ SV61 ) @ ( produc1834103605_r_l_v @ SY535 @ SY536 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[742]) ).
thf(809,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
| ( SV1 = SV62 ) )
= $false )
| ( ( ~ ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(810,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 = SV111 ) ) )
= $true )
| ( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(811,plain,
! [SV139: option1457017436_r_l_v,SV112: option1457017436_r_l_v,SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ! [SV158: r] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV112 ) @ SV64 @ SV139 @ SV158 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV139 @ SV158 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(812,plain,
! [SV139: option1457017436_r_l_v,SV112: option1457017436_r_l_v,SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV112 ) @ SV64 @ SV139 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV139 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(813,plain,
! [SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ! [SV159: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV66 @ SV141 @ SV159 )
= ( ^ [SY537: r] : ( if_opt1153928738_r_l_v @ ( SY537 = SV141 ) @ SV159 @ ( SV66 @ SY537 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(814,plain,
! [SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 @ SV141 )
= ( ^ [SY519: option1457017436_r_l_v,SY520: r] : ( if_opt1153928738_r_l_v @ ( SY520 = SV141 ) @ SY519 @ ( SV66 @ SY520 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(815,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 = SV67 ) )
= $false )
| ( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(816,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
| ( ( SV7 @ SV68 )
= SV115 ) ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(817,plain,
! [SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ! [SV160: option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ SV70 @ SV142 @ SV160 )
= ( ^ [SY538: r] : ( if_opt1153928738_r_l_v @ ( SY538 = SV142 ) @ SV160 @ ( SV70 @ SY538 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(818,plain,
! [SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 @ SV142 )
= ( ^ [SY521: option1457017436_r_l_v,SY522: r] : ( if_opt1153928738_r_l_v @ ( SY522 = SV142 ) @ SY521 @ ( SV70 @ SY522 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(819,plain,
! [SV161: l,SV118: expr_r_l_v,SV71: l > option_val_r_l_v,SV10: l > option_val_r_l_v] :
( ( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ SV10 @ ( produc1834103605_r_l_v @ SV71 @ SV118 ) ) @ SV161 )
= ( SV71 @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(820,plain,
! [SV162: l,SV120: expr_r_l_v,SV73: l > option_val_r_l_v,SV12: l > option_val_r_l_v] :
( ( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ SV12 @ ( produc1834103605_r_l_v @ SV73 @ SV120 ) ) @ SV162 )
= ( SV12 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(821,plain,
! [SV14: $o] :
( ( ( SV14
| $true )
= $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(822,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(823,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(824,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(825,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(826,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(827,plain,
! [SV145: option1457017436_r_l_v,SV122: r > option1457017436_r_l_v,SV76: r,SV15: r] :
( ( ( ~ ( ( SV15 != SV76 ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV122 @ SV76 @ SV145 @ SV15 )
= ( SV122 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(828,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SV163: l] :
( ( lID_snapshot_l_r_v @ SV16 @ SV163 )
= ( SV77 @ SV163 ) ) )
= $false )
| ( ( ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[767]) ).
thf(829,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false )
| ( ( ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[767]) ).
thf(830,plain,
! [SV17: produc1164766533_r_l_v] :
( ( SV17
= ( produc1834103605_r_l_v @ ( sK2_SY256 @ SV17 ) @ ( sK10_SY482 @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(831,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(832,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(833,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19 = none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(834,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ! [SY406: l > option_val_r_l_v,SY407: l > option_val_r_l_v,SY408: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ SY406 @ ( produc1834103605_r_l_v @ SY407 @ SY408 ) ) )
| ( SV79 != SY408 ) ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(835,plain,
! [SV165: produc1156025366_r_l_v,SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
!= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) ) )
| ( SV124 = SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(836,plain,
! [SV81: produc1156025366_r_l_v,SV22: produc1156025366_r_l_v > $o] :
( ( ( ! [SY539: produc1164766533_r_l_v] : ( SV22 @ ( produc297528454_r_l_v @ ( sK16_SY272 @ SV81 @ SV22 ) @ SY539 ) ) )
= $false )
| ( ( SV22 @ SV81 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[773]) ).
thf(837,plain,
! [SV166: option1457017436_r_l_v,SV148: option1457017436_r_l_v,SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ~ ( ( SV24 != SV82 ) )
| ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(838,plain,
! [SV149: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV83: produc1164766533_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
!= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $true )
| ( ( ~ ( ( SV25 != SV126 )
| ( SV83 != SV149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(839,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ( ! [SY540: l > option_val_r_l_v,SY541: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ ( sK17_SY282 @ SV84 @ SV26 ) @ ( produc1834103605_r_l_v @ SY540 @ SY541 ) ) ) )
= $false )
| ( ( SV26 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[776]) ).
thf(840,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ( SV27 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(841,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( ! [SY542: l > option_val_r_l_v,SY543: l > option_val_r_l_v,SY544: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ ( sK18_SY290 @ SV86 @ SV28 ) @ ( produc297528454_r_l_v @ SY542 @ ( produc1834103605_r_l_v @ SY543 @ SY544 ) ) ) ) )
= $false )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[778]) ).
thf(842,plain,
! [SV87: produc1164766533_r_l_v,SV29: produc1164766533_r_l_v > $o] :
( ( ( ! [SY545: expr_r_l_v] : ( SV29 @ ( produc1834103605_r_l_v @ ( sK19_SY295 @ SV87 @ SV29 ) @ SY545 ) ) )
= $false )
| ( ( SV29 @ SV87 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[779]) ).
thf(843,plain,
! [SV167: option1457017436_r_l_v,SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
!= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 ) )
| ( SV128 = SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(844,plain,
! [SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ( SV31 @ SV89 )
= ( some_P1807977723_r_l_v @ SV129 ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) )
= SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(845,plain,
! [SV32: produc1156025366_r_l_v] :
( ( SV32
!= ( produc297528454_r_l_v @ ( sK3_SY303 @ SV32 ) @ ( produc1834103605_r_l_v @ ( sK11_SY494 @ SV32 ) @ ( sK20_SY527 @ SV32 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[782]) ).
thf(846,plain,
! [SV33: produc1164766533_r_l_v] :
( ( ! [SY496: expr_r_l_v] :
( SV33
!= ( produc1834103605_r_l_v @ ( sK4_SY306 @ SV33 ) @ SY496 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(847,plain,
! [SV90: produc1156025366_r_l_v,SV34: option1457017436_r_l_v] :
( ( ( SV34 = none_P277133687_r_l_v )
= $false )
| ( ( SV34
= ( some_P1807977723_r_l_v @ SV90 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(848,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( ! [SY309: produc1156025366_r_l_v] :
( SV35
!= ( some_P1807977723_r_l_v @ SY309 ) ) )
= $false )
| ( ( SV35 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(849,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
| ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(850,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(851,plain,
! [SV131: produc1156025366_r_l_v,SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ! [SV168: r] :
( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SV131 ) @ SV168 )
= none_P277133687_r_l_v ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[787]) ).
thf(852,plain,
! [SV131: produc1156025366_r_l_v,SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SV131 ) )
= ( ^ [SX3: r] : none_P277133687_r_l_v ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[787]) ).
thf(853,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(854,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(855,plain,
! [SV152: expr_r_l_v,SV132: l > option_val_r_l_v,SV95: expr_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
!= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $true )
| ( ( ~ ( ( SV40 != SV132 )
| ( SV95 != SV152 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(856,plain,
! [SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ( SV41 @ SV96 )
= SV133 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 )
= SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(857,plain,
! [SV42: produc1156025366_r_l_v] :
( ( ! [SY500: produc1164766533_r_l_v] :
( SV42
!= ( produc297528454_r_l_v @ ( sK5_SY325 @ SV42 ) @ SY500 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(858,plain,
! [SV43: produc1156025366_r_l_v] :
( ( SV43
!= ( produc297528454_r_l_v @ ( sK6_SY327 @ SV43 ) @ ( produc1834103605_r_l_v @ ( sK12_SY501 @ SV43 ) @ ( sK21_SY528 @ SV43 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[793]) ).
thf(859,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ( ! [SY546: l > option_val_r_l_v,SY547: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ ( sK22_SY332 @ SV98 @ SV45 ) @ ( produc297528454_r_l_v @ SY546 @ SY547 ) ) ) )
= $false )
| ( ( SV45 @ SV98 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[794]) ).
thf(860,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) ) )
= $true )
| ( ( SV46 @ SV99 )
= $true )
| ( ( SV46 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(861,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 != none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(862,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(863,plain,
! [SV100: produc1164766533_r_l_v,SV48: produc1164766533_r_l_v > $o] :
( ( ( ! [SY548: expr_r_l_v] : ( SV48 @ ( produc1834103605_r_l_v @ ( sK23_SY339 @ SV100 @ SV48 ) @ SY548 ) ) )
= $false )
| ( ( SV48 @ SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[797]) ).
thf(864,plain,
! [SV153: produc1156025366_r_l_v,SV134: r > option1457017436_r_l_v,SV101: r,SV49: r] :
( ( ( ~ ( ( SV49 != SV101 ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(865,plain,
! [SV50: produc1156025366_r_l_v] :
( ( SV50
= ( produc297528454_r_l_v @ ( sK7_SY344 @ SV50 ) @ ( sK13_SY504 @ SV50 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(866,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ( ! [SY549: l > option_val_r_l_v,SY550: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ ( sK24_SY347 @ SV102 @ SV51 ) @ ( produc1834103605_r_l_v @ SY549 @ SY550 ) ) ) )
= $false )
| ( ( SV51 @ SV102 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[800]) ).
thf(867,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
| ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(868,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(869,plain,
! [SV54: produc1489027110_r_l_v] :
( ( SV54
!= ( produc2057232216_r_l_v @ ( sK8_SY354 @ SV54 ) @ ( produc297528454_r_l_v @ ( sK14_SY506 @ SV54 ) @ ( sK25_SY529 @ SV54 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[802]) ).
thf(870,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
| ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(871,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(872,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
| ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(873,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(874,plain,
! [SV157: produc1156025366_r_l_v,SV138: l > l,SV108: r > r,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ~ ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) ) )
= $true )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(875,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SV169: l] :
( ( lID_lo1265057957_l_r_v @ SV59 @ SV169 )
= ( SV109 @ SV169 ) ) )
= $false )
| ( ( ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[806]) ).
thf(876,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false )
| ( ( ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[806]) ).
thf(877,plain,
! [SV110: produc1156025366_r_l_v,SV60: produc1156025366_r_l_v > $o] :
( ( ( ! [SY551: produc1164766533_r_l_v] : ( SV60 @ ( produc297528454_r_l_v @ ( sK26_SY377 @ SV110 @ SV60 ) @ SY551 ) ) )
= $false )
| ( ( SV60 @ SV110 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[807]) ).
thf(878,plain,
! [SV61: produc1489027110_r_l_v] :
( ( ! [SY552: expr_r_l_v] :
( SV61
!= ( produc2057232216_r_l_v @ ( sK9_SY379 @ SV61 ) @ ( produc297528454_r_l_v @ ( sK15_SY516 @ SV61 ) @ ( produc1834103605_r_l_v @ ( sK27_SY535 @ SV61 ) @ SY552 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(879,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false )
| ( ( ~ ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(880,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( SV1 = SV62 )
= $false )
| ( ( ~ ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(881,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 = SV111 ) )
= $false )
| ( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(882,plain,
! [SV170: r,SV139: option1457017436_r_l_v,SV112: option1457017436_r_l_v,SV64: r,SV3: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV112 ) @ SV64 @ SV139 @ SV170 )
= ( fun_up709272714_r_l_v @ SV3 @ SV64 @ SV139 @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(883,plain,
! [SV171: option1457017436_r_l_v,SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 @ SV141 @ SV171 )
= ( ^ [SY553: r] : ( if_opt1153928738_r_l_v @ ( SY553 = SV141 ) @ SV171 @ ( SV66 @ SY553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(884,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false )
| ( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(885,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( SV6 = SV67 )
= $false )
| ( ( ~ ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(886,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
| ( ( SV7 @ SV68 )
= SV115 ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(887,plain,
! [SV172: option1457017436_r_l_v,SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 @ SV142 @ SV172 )
= ( ^ [SY554: r] : ( if_opt1153928738_r_l_v @ ( SY554 = SV142 ) @ SV172 @ ( SV70 @ SY554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(888,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(889,plain,
! [SV14: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV14
| ~ $true ) )
= $true )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(890,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(891,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(892,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(893,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(894,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(895,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(896,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(897,plain,
! [SV145: option1457017436_r_l_v,SV122: r > option1457017436_r_l_v,SV76: r,SV15: r] :
( ( ( SV15 != SV76 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV122 @ SV76 @ SV145 @ SV15 )
= ( SV122 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(898,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false )
| ( ( ~ ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[828]) ).
thf(899,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(900,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
| ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[831]) ).
thf(901,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[831]) ).
thf(902,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19
!= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[832]) ).
thf(903,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) )
= $false )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(904,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ! [SY555: l > option_val_r_l_v,SY556: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ ( sK30_SY406 @ SV79 @ SV20 ) @ ( produc1834103605_r_l_v @ SY555 @ SY556 ) ) )
| ( SV79 != SY556 ) ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[834]) ).
thf(905,plain,
! [SV165: produc1156025366_r_l_v,SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
!= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) ) )
= $true )
| ( ( SV124 = SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(906,plain,
! [SV81: produc1156025366_r_l_v,SV22: produc1156025366_r_l_v > $o] :
( ( ( SV22 @ ( produc297528454_r_l_v @ ( sK16_SY272 @ SV81 @ SV22 ) @ ( sK31_SY539 @ SV81 @ SV22 ) ) )
= $false )
| ( ( SV22 @ SV81 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[836]) ).
thf(907,plain,
! [SV166: option1457017436_r_l_v,SV148: option1457017436_r_l_v,SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ( ~ ( ( SV24 != SV82 ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(908,plain,
! [SV149: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV83: produc1164766533_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false )
| ( ( ~ ( ( SV25 != SV126 )
| ( SV83 != SV149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(909,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ( ! [SY557: expr_r_l_v] : ( SV26 @ ( produc297528454_r_l_v @ ( sK17_SY282 @ SV84 @ SV26 ) @ ( produc1834103605_r_l_v @ ( sK32_SY540 @ SV84 @ SV26 ) @ SY557 ) ) ) )
= $false )
| ( ( SV26 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[839]) ).
thf(910,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( SV27 != none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(911,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(912,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( ! [SY558: l > option_val_r_l_v,SY559: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ ( sK18_SY290 @ SV86 @ SV28 ) @ ( produc297528454_r_l_v @ ( sK33_SY542 @ SV86 @ SV28 ) @ ( produc1834103605_r_l_v @ SY558 @ SY559 ) ) ) ) )
= $false )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[841]) ).
thf(913,plain,
! [SV87: produc1164766533_r_l_v,SV29: produc1164766533_r_l_v > $o] :
( ( ( SV29 @ ( produc1834103605_r_l_v @ ( sK19_SY295 @ SV87 @ SV29 ) @ ( sK34_SY545 @ SV87 @ SV29 ) ) )
= $false )
| ( ( SV29 @ SV87 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[842]) ).
thf(914,plain,
! [SV167: option1457017436_r_l_v,SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
!= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 ) )
= $true )
| ( ( SV128 = SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(915,plain,
! [SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ! [SV173: r] :
( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) @ SV173 )
= ( SV31 @ SV173 ) ) )
= $true )
| ( ( ( SV31 @ SV89 )
= ( some_P1807977723_r_l_v @ SV129 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(916,plain,
! [SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) )
= SV31 )
= $true )
| ( ( ( SV31 @ SV89 )
= ( some_P1807977723_r_l_v @ SV129 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(917,plain,
! [SV32: produc1156025366_r_l_v] :
( ( SV32
= ( produc297528454_r_l_v @ ( sK3_SY303 @ SV32 ) @ ( produc1834103605_r_l_v @ ( sK11_SY494 @ SV32 ) @ ( sK20_SY527 @ SV32 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(918,plain,
! [SV33: produc1164766533_r_l_v] :
( ( SV33
!= ( produc1834103605_r_l_v @ ( sK4_SY306 @ SV33 ) @ ( sK35_SY496 @ SV33 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[846]) ).
thf(919,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( SV35
!= ( some_P1807977723_r_l_v @ ( sK36_SY309 @ SV35 ) ) )
= $false )
| ( ( SV35 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[848]) ).
thf(920,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(921,plain,
! [SV131: produc1156025366_r_l_v,SV92: r,SV37: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV37 @ SV92 @ ( some_P1807977723_r_l_v @ SV131 ) @ ( sK37_SV168 @ SV131 @ SV92 @ SV37 ) )
= none_P277133687_r_l_v )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[851]) ).
thf(922,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(923,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(924,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(925,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(926,plain,
! [SV152: expr_r_l_v,SV132: l > option_val_r_l_v,SV95: expr_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false )
| ( ( ~ ( ( SV40 != SV132 )
| ( SV95 != SV152 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(927,plain,
! [SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ! [SV174: r] :
( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 @ SV174 )
= ( SV41 @ SV174 ) ) )
= $true )
| ( ( ( SV41 @ SV96 )
= SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(928,plain,
! [SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 )
= SV41 )
= $true )
| ( ( ( SV41 @ SV96 )
= SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(929,plain,
! [SV42: produc1156025366_r_l_v] :
( ( SV42
!= ( produc297528454_r_l_v @ ( sK5_SY325 @ SV42 ) @ ( sK38_SY500 @ SV42 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[857]) ).
thf(930,plain,
! [SV43: produc1156025366_r_l_v] :
( ( SV43
= ( produc297528454_r_l_v @ ( sK6_SY327 @ SV43 ) @ ( produc1834103605_r_l_v @ ( sK12_SY501 @ SV43 ) @ ( sK21_SY528 @ SV43 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(931,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ( ! [SY560: produc1164766533_r_l_v] : ( SV45 @ ( produc2057232216_r_l_v @ ( sK22_SY332 @ SV98 @ SV45 ) @ ( produc297528454_r_l_v @ ( sK39_SY546 @ SV98 @ SV45 ) @ SY560 ) ) ) )
= $false )
| ( ( SV45 @ SV98 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[859]) ).
thf(932,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ( ! [SY336: produc1156025366_r_l_v] : ( SV46 @ ( some_P1807977723_r_l_v @ SY336 ) ) )
= $false )
| ( ( SV46 @ SV99 )
= $true )
| ( ( SV46 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(933,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 = none_P277133687_r_l_v )
= $true )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(934,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(935,plain,
! [SV100: produc1164766533_r_l_v,SV48: produc1164766533_r_l_v > $o] :
( ( ( SV48 @ ( produc1834103605_r_l_v @ ( sK23_SY339 @ SV100 @ SV48 ) @ ( sK40_SY548 @ SV100 @ SV48 ) ) )
= $false )
| ( ( SV48 @ SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[863]) ).
thf(936,plain,
! [SV153: produc1156025366_r_l_v,SV134: r > option1457017436_r_l_v,SV101: r,SV49: r] :
( ( ( SV49 != SV101 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(937,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ( ! [SY561: expr_r_l_v] : ( SV51 @ ( produc297528454_r_l_v @ ( sK24_SY347 @ SV102 @ SV51 ) @ ( produc1834103605_r_l_v @ ( sK41_SY549 @ SV102 @ SV51 ) @ SY561 ) ) ) )
= $false )
| ( ( SV51 @ SV102 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[866]) ).
thf(938,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(939,plain,
! [SV54: produc1489027110_r_l_v] :
( ( SV54
= ( produc2057232216_r_l_v @ ( sK8_SY354 @ SV54 ) @ ( produc297528454_r_l_v @ ( sK14_SY506 @ SV54 ) @ ( sK25_SY529 @ SV54 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(940,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(941,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(942,plain,
! [SV157: produc1156025366_r_l_v,SV138: l > l,SV108: r > r,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ! [SY367: r > r,SY368: l > l,SY369: l > option_val_r_l_v,SY370: l > option_val_r_l_v,SY371: expr_r_l_v] : ( SV58 @ SY367 @ SY368 @ ( produc297528454_r_l_v @ SY369 @ ( produc1834103605_r_l_v @ SY370 @ SY371 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(943,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false )
| ( ( ~ ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[875]) ).
thf(944,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(945,plain,
! [SV110: produc1156025366_r_l_v,SV60: produc1156025366_r_l_v > $o] :
( ( ( SV60 @ ( produc297528454_r_l_v @ ( sK26_SY377 @ SV110 @ SV60 ) @ ( sK43_SY551 @ SV110 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV110 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[877]) ).
thf(946,plain,
! [SV61: produc1489027110_r_l_v] :
( ( SV61
!= ( produc2057232216_r_l_v @ ( sK9_SY379 @ SV61 ) @ ( produc297528454_r_l_v @ ( sK15_SY516 @ SV61 ) @ ( produc1834103605_r_l_v @ ( sK27_SY535 @ SV61 ) @ ( sK44_SY552 @ SV61 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[878]) ).
thf(947,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) )
= $false )
| ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(948,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
| ( SV1 != SV62 ) )
= $false )
| ( ( SV1 = SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(949,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false )
| ( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(950,plain,
! [SV2: cntxt_r_l_v,SV111: expr_r_l_v,SV63: expr_r_l_v] :
( ( ( SV63 = SV111 )
= $false )
| ( ( ~ ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(951,plain,
! [SV171: option1457017436_r_l_v,SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ! [SV175: r] :
( ( fun_up709272714_r_l_v @ SV66 @ SV141 @ SV171 @ SV175 )
= ( if_opt1153928738_r_l_v @ ( SV175 = SV141 ) @ SV171 @ ( SV66 @ SV175 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(952,plain,
! [SV171: option1457017436_r_l_v,SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 @ SV141 @ SV171 )
= ( ^ [SY553: r] : ( if_opt1153928738_r_l_v @ ( SY553 = SV141 ) @ SV171 @ ( SV66 @ SY553 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(953,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) )
= $false )
| ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(954,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
| ( SV6 != SV67 ) )
= $false )
| ( ( SV6 = SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(955,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(956,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
= SV115 )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(957,plain,
! [SV172: option1457017436_r_l_v,SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ! [SV176: r] :
( ( fun_up709272714_r_l_v @ SV70 @ SV142 @ SV172 @ SV176 )
= ( if_opt1153928738_r_l_v @ ( SV176 = SV142 ) @ SV172 @ ( SV70 @ SV176 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(958,plain,
! [SV172: option1457017436_r_l_v,SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 @ SV142 @ SV172 )
= ( ^ [SY554: r] : ( if_opt1153928738_r_l_v @ ( SY554 = SV142 ) @ SV172 @ ( SV70 @ SY554 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(959,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $true )
= $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(960,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(961,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(962,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(963,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(964,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(965,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(966,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(967,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(968,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(969,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(970,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(971,plain,
! [SV145: option1457017436_r_l_v,SV122: r > option1457017436_r_l_v,SV76: r,SV15: r] :
( ( ( SV15 = SV76 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV122 @ SV76 @ SV145 @ SV15 )
= ( SV122 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(972,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY400: l > option_val_r_l_v] :
( ~ ~ ! [SY254: l > option_val_r_l_v] :
~ ~ ! [SY255: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ SY400 @ ( produc1834103605_r_l_v @ SY254 @ SY255 ) ) )
| ( SV77 != SY400 ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(973,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY562: l > option_val_r_l_v] :
~ ~ ! [SY563: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY562 @ SY563 ) ) )
| ( SV77
!= ( sK45_SY400 @ SV77 @ SV16 ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(974,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(975,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[902]) ).
thf(976,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= $false )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(977,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19 != none_P277133687_r_l_v )
= $false )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(978,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ! [SY564: expr_r_l_v] :
( ( SV20
!= ( produc297528454_r_l_v @ ( sK30_SY406 @ SV79 @ SV20 ) @ ( produc1834103605_r_l_v @ ( sK46_SY555 @ SV79 @ SV20 ) @ SY564 ) ) )
| ( SV79 != SY564 ) ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[904]) ).
thf(979,plain,
! [SV165: produc1156025366_r_l_v,SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) ) )
= $false )
| ( ( SV124 = SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(980,plain,
! [SV166: option1457017436_r_l_v,SV148: option1457017436_r_l_v,SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ( SV24 != SV82 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(981,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( ( SV25 != SV126 )
| ( SV83 != SV149 ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(982,plain,
! [SV84: produc1156025366_r_l_v,SV26: produc1156025366_r_l_v > $o] :
( ( ( SV26 @ ( produc297528454_r_l_v @ ( sK17_SY282 @ SV84 @ SV26 ) @ ( produc1834103605_r_l_v @ ( sK32_SY540 @ SV84 @ SV26 ) @ ( sK47_SY557 @ SV84 @ SV26 ) ) ) )
= $false )
| ( ( SV26 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[909]) ).
thf(983,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( SV27 = none_P277133687_r_l_v )
= $true )
| ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
| ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(984,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(985,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( ! [SY565: expr_r_l_v] : ( SV28 @ ( produc2057232216_r_l_v @ ( sK18_SY290 @ SV86 @ SV28 ) @ ( produc297528454_r_l_v @ ( sK33_SY542 @ SV86 @ SV28 ) @ ( produc1834103605_r_l_v @ ( sK48_SY558 @ SV86 @ SV28 ) @ SY565 ) ) ) ) )
= $false )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[912]) ).
thf(986,plain,
! [SV167: option1457017436_r_l_v,SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 ) )
= $false )
| ( ( SV128 = SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(987,plain,
! [SV177: r,SV129: produc1156025366_r_l_v,SV89: r,SV31: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV31 @ SV89 @ ( some_P1807977723_r_l_v @ SV129 ) @ SV177 )
= ( SV31 @ SV177 ) )
= $true )
| ( ( ( SV31 @ SV89 )
= ( some_P1807977723_r_l_v @ SV129 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(988,plain,
! [SV33: produc1164766533_r_l_v] :
( ( SV33
= ( produc1834103605_r_l_v @ ( sK4_SY306 @ SV33 ) @ ( sK35_SY496 @ SV33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(989,plain,
! [SV35: option1457017436_r_l_v] :
( ( ( SV35
= ( some_P1807977723_r_l_v @ ( sK36_SY309 @ SV35 ) ) )
= $true )
| ( ( SV35 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(990,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(991,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[922]) ).
thf(992,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(993,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(994,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(995,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(996,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( ( SV40 != SV132 )
| ( SV95 != SV152 ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(997,plain,
! [SV178: r,SV133: option1457017436_r_l_v,SV96: r,SV41: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV41 @ SV96 @ SV133 @ SV178 )
= ( SV41 @ SV178 ) )
= $true )
| ( ( ( SV41 @ SV96 )
= SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(998,plain,
! [SV42: produc1156025366_r_l_v] :
( ( SV42
= ( produc297528454_r_l_v @ ( sK5_SY325 @ SV42 ) @ ( sK38_SY500 @ SV42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(999,plain,
! [SV98: produc1489027110_r_l_v,SV45: produc1489027110_r_l_v > $o] :
( ( ( SV45 @ ( produc2057232216_r_l_v @ ( sK22_SY332 @ SV98 @ SV45 ) @ ( produc297528454_r_l_v @ ( sK39_SY546 @ SV98 @ SV45 ) @ ( sK50_SY560 @ SV98 @ SV45 ) ) ) )
= $false )
| ( ( SV45 @ SV98 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[931]) ).
thf(1000,plain,
! [SV99: option1457017436_r_l_v,SV46: option1457017436_r_l_v > $o] :
( ( ( SV46 @ ( some_P1807977723_r_l_v @ ( sK51_SY336 @ SV99 @ SV46 ) ) )
= $false )
| ( ( SV46 @ SV99 )
= $true )
| ( ( SV46 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[932]) ).
thf(1001,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1002,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47
!= ( some_P1807977723_r_l_v @ SV179 ) )
= $true )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1003,plain,
! [SV153: produc1156025366_r_l_v,SV134: r > option1457017436_r_l_v,SV101: r,SV49: r] :
( ( ( SV49 = SV101 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1004,plain,
! [SV102: produc1156025366_r_l_v,SV51: produc1156025366_r_l_v > $o] :
( ( ( SV51 @ ( produc297528454_r_l_v @ ( sK24_SY347 @ SV102 @ SV51 ) @ ( produc1834103605_r_l_v @ ( sK41_SY549 @ SV102 @ SV51 ) @ ( sK52_SY561 @ SV102 @ SV51 ) ) ) )
= $false )
| ( ( SV51 @ SV102 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[937]) ).
thf(1005,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1006,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1007,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1008,plain,
! [SV108: r > r,SV138: l > l,SV157: produc1156025366_r_l_v,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ! [SY566: l > l,SY567: l > option_val_r_l_v,SY568: l > option_val_r_l_v,SY569: expr_r_l_v] : ( SV58 @ ( sK53_SY367 @ SV157 @ SV138 @ SV108 @ SV58 ) @ SY566 @ ( produc297528454_r_l_v @ SY567 @ ( produc1834103605_r_l_v @ SY568 @ SY569 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[942]) ).
thf(1009,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY470: l > option_val_r_l_v,SY471: l > option_val_r_l_v] :
( ~ ~ ! [SY375: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ SY470 @ ( produc1834103605_r_l_v @ SY471 @ SY375 ) ) )
| ( SV109 != SY471 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1010,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY570: l > option_val_r_l_v] :
( ~ ~ ! [SY571: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ SY570 @ SY571 ) ) )
| ( SV109 != SY570 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[944]) ).
thf(1011,plain,
! [SV61: produc1489027110_r_l_v] :
( ( SV61
= ( produc2057232216_r_l_v @ ( sK9_SY379 @ SV61 ) @ ( produc297528454_r_l_v @ ( sK15_SY516 @ SV61 ) @ ( produc1834103605_r_l_v @ ( sK27_SY535 @ SV61 ) @ ( sK44_SY552 @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1012,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
= $false )
| ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1013,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( SV1 != SV62 )
= $false )
| ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1014,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
!= ( rfork_r_l_v @ SV62 ) )
= $false )
| ( ( SV1 = SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1015,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( SV1 != SV62 )
= $false )
| ( ( SV1 = SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1016,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) )
= $false )
| ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1017,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
| ( SV63 != SV111 ) )
= $false )
| ( ( SV63 = SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1018,plain,
! [SV180: r,SV171: option1457017436_r_l_v,SV141: r,SV66: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV66 @ SV141 @ SV171 @ SV180 )
= ( if_opt1153928738_r_l_v @ ( SV180 = SV141 ) @ SV171 @ ( SV66 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1019,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
= $false )
| ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1020,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( SV6 != SV67 )
= $false )
| ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1021,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
!= ( some_P1807977723_r_l_v @ SV67 ) )
= $false )
| ( ( SV6 = SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1022,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( SV6 != SV67 )
= $false )
| ( ( SV6 = SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1023,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ! [SV181: r] :
( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV181 )
= ( SV7 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[955]) ).
thf(1024,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[955]) ).
thf(1025,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) )
= $false )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1026,plain,
! [SV182: r,SV172: option1457017436_r_l_v,SV142: r,SV70: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ SV70 @ SV142 @ SV172 @ SV182 )
= ( if_opt1153928738_r_l_v @ ( SV182 = SV142 ) @ SV172 @ ( SV70 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1027,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1028,plain,
! [SV14: $o] :
( ( ( ~ $true ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1029,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1030,plain,
! [SV14: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1031,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1032,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1033,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1034,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1035,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1036,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1037,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1038,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1039,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(1040,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(1041,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1042,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1043,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1044,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1045,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY572: l > option_val_r_l_v] :
~ ~ ! [SY573: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY572 @ SY573 ) ) )
| ( SV77
!= ( sK55_SY400 @ SV77 @ SV16 ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[972]) ).
thf(1046,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY562: l > option_val_r_l_v] :
~ ~ ! [SY563: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY562 @ SY563 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1047,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
!= ( sK45_SY400 @ SV77 @ SV16 ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1048,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1049,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) )
| ( SV19 != none_P277133687_r_l_v ) )
= $false )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1050,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= $true )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1051,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19 = none_P277133687_r_l_v )
= $true )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1052,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( ( SV20
!= ( produc297528454_r_l_v @ ( sK30_SY406 @ SV79 @ SV20 ) @ ( produc1834103605_r_l_v @ ( sK46_SY555 @ SV79 @ SV20 ) @ ( sK56_SY564 @ SV79 @ SV20 ) ) ) )
| ( SV79
!= ( sK56_SY564 @ SV79 @ SV20 ) ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[978]) ).
thf(1053,plain,
! [SV165: produc1156025366_r_l_v,SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ! [SV183: r] :
( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) @ SV183 )
= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) @ SV183 ) ) )
= $false )
| ( ( SV124 = SV165 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[979]) ).
thf(1054,plain,
! [SV165: produc1156025366_r_l_v,SV147: r > option1457017436_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) )
= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) ) )
= $false )
| ( ( SV124 = SV165 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[979]) ).
thf(1055,plain,
! [SV166: option1457017436_r_l_v,SV148: option1457017436_r_l_v,SV125: r > option1457017436_r_l_v,SV82: r,SV24: r] :
( ( ( SV24 = SV82 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1056,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( SV25 != SV126 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1057,plain,
! [SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v,SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v] :
( ( ( SV83 != SV149 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1058,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ~ ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1059,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1060,plain,
! [SV86: produc1489027110_r_l_v,SV28: produc1489027110_r_l_v > $o] :
( ( ( SV28 @ ( produc2057232216_r_l_v @ ( sK18_SY290 @ SV86 @ SV28 ) @ ( produc297528454_r_l_v @ ( sK33_SY542 @ SV86 @ SV28 ) @ ( produc1834103605_r_l_v @ ( sK48_SY558 @ SV86 @ SV28 ) @ ( sK57_SY565 @ SV86 @ SV28 ) ) ) ) )
= $false )
| ( ( SV28 @ SV86 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[985]) ).
thf(1061,plain,
! [SV167: option1457017436_r_l_v,SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ! [SV184: r] :
( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 @ SV184 )
= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 @ SV184 ) ) )
= $false )
| ( ( SV128 = SV167 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[986]) ).
thf(1062,plain,
! [SV167: option1457017436_r_l_v,SV150: r > option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 )
= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 ) )
= $false )
| ( ( SV128 = SV167 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[986]) ).
thf(1063,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1064,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1065,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1066,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v ) )
= $true )
| ( ( ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1067,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ SV185 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1068,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1069,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1070,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( SV40 != SV132 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1071,plain,
! [SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v,SV152: expr_r_l_v,SV95: expr_r_l_v] :
( ( ( SV95 != SV152 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1072,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ( ( SV47 != none_P277133687_r_l_v ) ) )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1073,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1074,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false )
| ( ( ~ ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1075,plain,
! [SV101: r,SV153: produc1156025366_r_l_v,SV49: r,SV134: r > option1457017436_r_l_v] :
( ( ( ! [SV186: r] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v @ SV186 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) @ SV186 ) ) )
= $true )
| ( ( SV49 = SV101 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1003]) ).
thf(1076,plain,
! [SV101: r,SV153: produc1156025366_r_l_v,SV49: r,SV134: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) )
= $true )
| ( ( SV49 = SV101 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1003]) ).
thf(1077,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1078,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1079,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1080,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1081,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1082,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1083,plain,
! [SV108: r > r,SV138: l > l,SV157: produc1156025366_r_l_v,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ! [SY574: l > option_val_r_l_v,SY575: l > option_val_r_l_v,SY576: expr_r_l_v] : ( SV58 @ ( sK53_SY367 @ SV157 @ SV138 @ SV108 @ SV58 ) @ ( sK58_SY566 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc297528454_r_l_v @ SY574 @ ( produc1834103605_r_l_v @ SY575 @ SY576 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1008]) ).
thf(1084,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY577: l > option_val_r_l_v] :
( ~ ~ ! [SY578: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ SY577 @ SY578 ) ) )
| ( SV109 != SY577 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1009]) ).
thf(1085,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY579: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ SY579 ) ) )
| ( SV109
!= ( sK60_SY570 @ SV109 @ SV59 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1010]) ).
thf(1086,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $true )
| ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1087,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( SV1 = SV62 )
= $true )
| ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1088,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( ( rfork_r_l_v @ SV1 )
= ( rfork_r_l_v @ SV62 ) )
= $true )
| ( ( SV1 = SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1089,plain,
! [SV62: expr_r_l_v,SV1: expr_r_l_v] :
( ( ( SV1 = SV62 )
= $true )
| ( ( SV1 = SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1090,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false )
| ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1091,plain,
! [SV2: cntxt_r_l_v,SV111: expr_r_l_v,SV63: expr_r_l_v] :
( ( ( SV63 != SV111 )
= $false )
| ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1092,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
!= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false )
| ( ( SV63 = SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1093,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v] :
( ( ( SV63 != SV111 )
= $false )
| ( ( SV63 = SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1094,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $true )
| ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1095,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( SV6 = SV67 )
= $true )
| ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1096,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( ( some_P1807977723_r_l_v @ SV6 )
= ( some_P1807977723_r_l_v @ SV67 ) )
= $true )
| ( ( SV6 = SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1097,plain,
! [SV67: produc1156025366_r_l_v,SV6: produc1156025366_r_l_v] :
( ( ( SV6 = SV67 )
= $true )
| ( ( SV6 = SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1098,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1023]) ).
thf(1099,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1100,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
= $false )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1101,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
!= SV115 )
= $false )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1102,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1103,plain,
! [SV14: $o] :
( ( $true = $true )
| ( SV14 = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1104,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1105,plain,
! [SV14: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV14 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1106,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1107,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1108,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1032]) ).
thf(1109,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1032]) ).
thf(1110,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1111,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1112,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1113,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1114,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1115,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1116,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1117,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1118,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1119,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1120,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1121,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1122,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1123,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1124,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1125,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1126,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY572: l > option_val_r_l_v] :
~ ~ ! [SY573: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY572 @ SY573 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1127,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
!= ( sK55_SY400 @ SV77 @ SV16 ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1128,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ! [SY562: l > option_val_r_l_v] :
~ ~ ! [SY563: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY562 @ SY563 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1129,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
= ( sK45_SY400 @ SV77 @ SV16 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1130,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1131,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1132,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ~ ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= $false )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1133,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19 != none_P277133687_r_l_v )
= $false )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1134,plain,
! [SV187: produc1156025366_r_l_v,SV19: option1457017436_r_l_v] :
( ( ( SV19
!= ( some_P1807977723_r_l_v @ SV187 ) )
= $true )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1135,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( SV20
!= ( produc297528454_r_l_v @ ( sK30_SY406 @ SV79 @ SV20 ) @ ( produc1834103605_r_l_v @ ( sK46_SY555 @ SV79 @ SV20 ) @ ( sK56_SY564 @ SV79 @ SV20 ) ) ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1136,plain,
! [SV20: produc1156025366_r_l_v,SV79: expr_r_l_v] :
( ( ( SV79
!= ( sK56_SY564 @ SV79 @ SV20 ) )
= $false )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1137,plain,
! [SV147: r > option1457017436_r_l_v,SV165: produc1156025366_r_l_v,SV124: produc1156025366_r_l_v,SV80: r,SV21: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV21 @ SV80 @ ( some_P1807977723_r_l_v @ SV124 ) @ ( sK62_SV183 @ SV165 @ SV147 @ SV124 @ SV80 @ SV21 ) )
= ( fun_up709272714_r_l_v @ SV147 @ SV80 @ ( some_P1807977723_r_l_v @ SV165 ) @ ( sK62_SV183 @ SV165 @ SV147 @ SV124 @ SV80 @ SV21 ) ) )
= $false )
| ( ( SV124 = SV165 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1053]) ).
thf(1138,plain,
! [SV166: option1457017436_r_l_v,SV82: r,SV148: option1457017436_r_l_v,SV24: r,SV125: r > option1457017436_r_l_v] :
( ( ( ! [SV188: r] :
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 @ SV188 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 @ SV188 ) ) )
= $true )
| ( ( SV24 = SV82 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1139,plain,
! [SV166: option1457017436_r_l_v,SV82: r,SV148: option1457017436_r_l_v,SV24: r,SV125: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 ) )
= $true )
| ( ( SV24 = SV82 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1140,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( SV25 = SV126 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1141,plain,
! [SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v,SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v] :
( ( ( SV83 = SV149 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1142,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127 != none_P277133687_r_l_v )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1143,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v,SV127: option1457017436_r_l_v] :
( ( ( SV127 != none_P277133687_r_l_v )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1144,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1145,plain,
! [SV150: r > option1457017436_r_l_v,SV167: option1457017436_r_l_v,SV128: option1457017436_r_l_v,SV88: r,SV30: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV30 @ SV88 @ SV128 @ ( sK63_SV184 @ SV167 @ SV150 @ SV128 @ SV88 @ SV30 ) )
= ( fun_up709272714_r_l_v @ SV150 @ SV88 @ SV167 @ ( sK63_SV184 @ SV167 @ SV150 @ SV128 @ SV88 @ SV30 ) ) )
= $false )
| ( ( SV128 = SV167 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1061]) ).
thf(1146,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1147,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 != SV130 )
| ( SV91 != SV151 ) )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1148,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1149,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1150,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1151,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ SV185 )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1152,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1153,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1154,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1155,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( SV40 = SV132 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1156,plain,
! [SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v,SV152: expr_r_l_v,SV95: expr_r_l_v] :
( ( ( SV95 = SV152 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1157,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 != none_P277133687_r_l_v )
= $true )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1158,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $true )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1159,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( ~ ( ( SV47 != none_P277133687_r_l_v ) )
| ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1160,plain,
! [SV190: r,SV101: r,SV153: produc1156025366_r_l_v,SV49: r,SV134: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) ) @ SV101 @ none_P277133687_r_l_v @ SV190 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV134 @ SV101 @ none_P277133687_r_l_v ) @ SV49 @ ( some_P1807977723_r_l_v @ SV153 ) @ SV190 ) )
= $true )
| ( ( SV49 = SV101 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1161,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1162,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 != SV135 )
| ( SV104 != SV154 ) )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1163,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1164,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 != SV136 )
| ( SV105 != SV155 ) )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1165,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1166,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 != SV137 )
| ( SV106 != SV156 ) )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1167,plain,
! [SV108: r > r,SV138: l > l,SV157: produc1156025366_r_l_v,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ! [SY580: l > option_val_r_l_v,SY581: expr_r_l_v] : ( SV58 @ ( sK53_SY367 @ SV157 @ SV138 @ SV108 @ SV58 ) @ ( sK58_SY566 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc297528454_r_l_v @ ( sK64_SY574 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc1834103605_r_l_v @ SY580 @ SY581 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1083]) ).
thf(1168,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY582: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ SY582 ) ) )
| ( SV109
!= ( sK65_SY577 @ SV109 @ SV59 ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1084]) ).
thf(1169,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY579: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ SY579 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1170,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
!= ( sK60_SY570 @ SV109 @ SV59 ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1171,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $true )
| ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1172,plain,
! [SV2: cntxt_r_l_v,SV111: expr_r_l_v,SV63: expr_r_l_v] :
( ( ( SV63 = SV111 )
= $true )
| ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1173,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v,SV2: cntxt_r_l_v] :
( ( ( ( plug_r_l_v @ SV2 @ SV63 )
= ( plug_r_l_v @ SV2 @ SV111 ) )
= $true )
| ( ( SV63 = SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1174,plain,
! [SV111: expr_r_l_v,SV63: expr_r_l_v] :
( ( ( SV63 = SV111 )
= $true )
| ( ( SV63 = SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1175,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
| ( ( SV7 @ SV68 )
!= SV115 ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1176,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1177,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
!= SV115 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1178,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1179,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
= SV115 )
= $true )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1180,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1181,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1182,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1183,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1184,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1104]) ).
thf(1185,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1104]) ).
thf(1186,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false )
| ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1105]) ).
thf(1187,plain,
! [SV14: $o] :
( ( ( SV14 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1105]) ).
thf(1188,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1189,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1190,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1191,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV14 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1192,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1110]) ).
thf(1193,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1110]) ).
thf(1194,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1195,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1196,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1197,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1198,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1113]) ).
thf(1199,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1113]) ).
thf(1200,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1201,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1202,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1203,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1204,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1118]) ).
thf(1205,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1118]) ).
thf(1206,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1207,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1208,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1120]) ).
thf(1209,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1120]) ).
thf(1210,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1121]) ).
thf(1211,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1121]) ).
thf(1212,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1213,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1214,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1215,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1216,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ! [SY572: l > option_val_r_l_v] :
~ ~ ! [SY573: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY572 @ SY573 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1217,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
= ( sK55_SY400 @ SV77 @ SV16 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1218,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY562: l > option_val_r_l_v] :
~ ~ ! [SY563: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY562 @ SY563 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1219,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( ! [SV191: l] :
( ( SV77 @ SV191 )
= ( sK45_SY400 @ SV77 @ SV16 @ SV191 ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1129]) ).
thf(1220,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
= ( sK45_SY400 @ SV77 @ SV16 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1129]) ).
thf(1221,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1222,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1223,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1224,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( ! [SY262: produc1156025366_r_l_v] :
( SV19
!= ( some_P1807977723_r_l_v @ SY262 ) ) )
= $true )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1225,plain,
! [SV19: option1457017436_r_l_v] :
( ( ( SV19 = none_P277133687_r_l_v )
= $true )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1226,plain,
! [SV187: produc1156025366_r_l_v,SV19: option1457017436_r_l_v] :
( ( ( SV19
= ( some_P1807977723_r_l_v @ SV187 ) )
= $false )
| ( ( SV19 = none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1227,plain,
! [SV79: expr_r_l_v,SV20: produc1156025366_r_l_v] :
( ( ( SV20
= ( produc297528454_r_l_v @ ( sK30_SY406 @ SV79 @ SV20 ) @ ( produc1834103605_r_l_v @ ( sK46_SY555 @ SV79 @ SV20 ) @ ( sK56_SY564 @ SV79 @ SV20 ) ) ) )
= $true )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1228,plain,
! [SV20: produc1156025366_r_l_v,SV79: expr_r_l_v] :
( ( ( SV79
= ( sK56_SY564 @ SV79 @ SV20 ) )
= $true )
| ( ( ( lID_expression_l_r_v @ SV20 )
= SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1229,plain,
! [SV192: r,SV166: option1457017436_r_l_v,SV82: r,SV148: option1457017436_r_l_v,SV24: r,SV125: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV24 @ SV148 ) @ SV82 @ SV166 @ SV192 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ SV125 @ SV82 @ SV166 ) @ SV24 @ SV148 @ SV192 ) )
= $true )
| ( ( SV24 = SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1230,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( ! [SV193: l] :
( ( SV25 @ SV193 )
= ( SV126 @ SV193 ) ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1140]) ).
thf(1231,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV25: l > option_val_r_l_v] :
( ( ( SV25 = SV126 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1140]) ).
thf(1232,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v,SV127: option1457017436_r_l_v] :
( ( ( SV127 != none_P277133687_r_l_v )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1233,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1234,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v,SV127: option1457017436_r_l_v] :
( ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1235,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1236,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1237,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1238,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 != SV130 )
= $true )
| ( ( SV91 != SV151 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1239,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1240,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1241,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1242,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1243,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1244,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1245,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1246,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( ! [SV194: l] :
( ( SV40 @ SV194 )
= ( SV132 @ SV194 ) ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1247,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV40: l > option_val_r_l_v] :
( ( ( SV40 = SV132 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1248,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47 = none_P277133687_r_l_v )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1249,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1250,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( ~ ( ( SV47 != none_P277133687_r_l_v ) ) )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1251,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( ~ ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1252,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1253,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1254,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 != SV135 )
= $true )
| ( ( SV104 != SV154 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1255,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1256,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1257,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 != SV136 )
= $true )
| ( ( SV105 != SV155 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1258,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1259,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1260,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 != SV137 )
= $true )
| ( ( SV106 != SV156 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1261,plain,
! [SV108: r > r,SV138: l > l,SV157: produc1156025366_r_l_v,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( ! [SY583: expr_r_l_v] : ( SV58 @ ( sK53_SY367 @ SV157 @ SV138 @ SV108 @ SV58 ) @ ( sK58_SY566 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc297528454_r_l_v @ ( sK64_SY574 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc1834103605_r_l_v @ ( sK66_SY580 @ SV108 @ SV138 @ SV157 @ SV58 ) @ SY583 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1167]) ).
thf(1262,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY582: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ SY582 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1263,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
!= ( sK65_SY577 @ SV109 @ SV59 ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1264,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ! [SY579: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ SY579 ) ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1265,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
= ( sK60_SY570 @ SV109 @ SV59 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1266,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
!= SV7 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1267,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
!= SV115 )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1268,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1269,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
= SV115 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1270,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ! [SV195: r] :
( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV195 )
= ( SV7 @ SV195 ) ) )
= $true )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1178]) ).
thf(1271,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1178]) ).
thf(1272,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1273,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1274,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1275,plain,
! [SV14: $o] :
( ( ( ~ ( SV14
| $false ) )
= $true )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1276,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1277,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1278,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1279,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1280,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1281,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1282,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1283,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1284,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY572: l > option_val_r_l_v] :
~ ~ ! [SY573: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ SY572 @ SY573 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1285,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( ! [SV196: l] :
( ( SV77 @ SV196 )
= ( sK55_SY400 @ SV77 @ SV16 @ SV196 ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1217]) ).
thf(1286,plain,
! [SV16: produc1156025366_r_l_v,SV77: l > option_val_r_l_v] :
( ( ( SV77
= ( sK55_SY400 @ SV77 @ SV16 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1217]) ).
thf(1287,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY584: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK67_SY562 @ SV77 @ SV16 ) @ SY584 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1218]) ).
thf(1288,plain,
! [SV16: produc1156025366_r_l_v,SV197: l,SV77: l > option_val_r_l_v] :
( ( ( ( SV77 @ SV197 )
= ( sK45_SY400 @ SV77 @ SV16 @ SV197 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1289,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1290,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1291,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1292,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1293,plain,
! [SV198: produc1156025366_r_l_v,SV19: option1457017436_r_l_v] :
( ( ( SV19
!= ( some_P1807977723_r_l_v @ SV198 ) )
= $true )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1294,plain,
! [SV149: produc1164766533_r_l_v,SV83: produc1164766533_r_l_v,SV126: l > option_val_r_l_v,SV199: l,SV25: l > option_val_r_l_v] :
( ( ( ( SV25 @ SV199 )
= ( SV126 @ SV199 ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV25 @ SV83 )
= ( produc297528454_r_l_v @ SV126 @ SV149 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1295,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v,SV127: option1457017436_r_l_v] :
( ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) )
| ( SV85 @ SV27 @ SV127 ) )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1296,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1297,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1298,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1299,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1300,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1301,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $false )
| ( ( SV91 != SV151 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1302,plain,
! [SV200: option1457017436_r_l_v,SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ SV200 )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1303,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1304,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( ~ ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1241]) ).
thf(1305,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1306,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1307,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1308,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1309,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 )
| ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1310,plain,
! [SV152: expr_r_l_v,SV95: expr_r_l_v,SV132: l > option_val_r_l_v,SV201: l,SV40: l > option_val_r_l_v] :
( ( ( ( SV40 @ SV201 )
= ( SV132 @ SV201 ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV40 @ SV95 )
= ( produc1834103605_r_l_v @ SV132 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1311,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47
!= ( some_P1807977723_r_l_v @ ( sK69_SY337 @ SV47 ) ) )
= $false )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1249]) ).
thf(1312,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47 != none_P277133687_r_l_v )
= $true )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1313,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( ~ ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $true )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1314,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1315,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1316,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $false )
| ( ( SV104 != SV154 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1317,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1318,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1319,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $false )
| ( ( SV105 != SV155 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1320,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1321,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1322,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $false )
| ( ( SV106 != SV156 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1323,plain,
! [SV108: r > r,SV138: l > l,SV157: produc1156025366_r_l_v,SV58: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o] :
( ( ( SV58 @ ( sK53_SY367 @ SV157 @ SV138 @ SV108 @ SV58 ) @ ( sK58_SY566 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc297528454_r_l_v @ ( sK64_SY574 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( produc1834103605_r_l_v @ ( sK66_SY580 @ SV108 @ SV138 @ SV157 @ SV58 ) @ ( sK70_SY583 @ SV108 @ SV138 @ SV157 @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ SV108 @ SV138 @ SV157 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1261]) ).
thf(1324,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ~ ! [SY582: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ SY582 ) ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1325,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
= ( sK65_SY577 @ SV109 @ SV59 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1326,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY579: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ SY579 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1327,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( ! [SV202: l] :
( ( SV109 @ SV202 )
= ( sK60_SY570 @ SV109 @ SV59 @ SV202 ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1265]) ).
thf(1328,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
= ( sK60_SY570 @ SV109 @ SV59 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1265]) ).
thf(1329,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1330,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( SV7 @ SV68 )
= SV115 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1331,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ! [SV203: r] :
( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV203 )
= ( SV7 @ SV203 ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1332,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1333,plain,
! [SV204: r,SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV204 )
= ( SV7 @ SV204 ) )
= $true )
| ( ( ( SV7 @ SV68 )
= SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1334,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1335,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1336,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1337,plain,
! [SV14: $o] :
( ( ( SV14
| $false )
= $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1338,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1339,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1340,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1341,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1342,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1343,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1344,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1345,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1346,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ~ ! [SY585: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK71_SY572 @ SV77 @ SV16 ) @ SY585 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1284]) ).
thf(1347,plain,
! [SV16: produc1156025366_r_l_v,SV205: l,SV77: l > option_val_r_l_v] :
( ( ( ( SV77 @ SV205 )
= ( sK55_SY400 @ SV77 @ SV16 @ SV205 ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1348,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ! [SY584: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK67_SY562 @ SV77 @ SV16 ) @ SY584 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1349,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1350,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1351,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV123 != SV164 )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1352,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $true )
| ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1353,plain,
! [SV198: produc1156025366_r_l_v,SV19: option1457017436_r_l_v] :
( ( ( SV19
= ( some_P1807977723_r_l_v @ SV198 ) )
= $false )
| ( ( SV19
= ( some_P1807977723_r_l_v @ ( sK29_SY262 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1354,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ~ ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1355,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1356,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1357,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ! [SY586: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK72_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY586 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1298]) ).
thf(1358,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 != SV130 )
| ( SV91 != SV151 ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1359,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ! [SV206: l] :
( ( SV36 @ SV206 )
= ( SV130 @ SV206 ) ) )
= $false )
| ( ( SV91 != SV151 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1301]) ).
thf(1360,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $false )
| ( ( SV91 != SV151 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1301]) ).
thf(1361,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1362,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $false )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1363,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 )
| ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1364,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1365,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1366,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( sK73_SY441 @ SV94 ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1367,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1368,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1369,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) ) )
= $false )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1370,plain,
! [SV47: option1457017436_r_l_v] :
( ( ( SV47
= ( some_P1807977723_r_l_v @ ( sK69_SY337 @ SV47 ) ) )
= $true )
| ( ( SV47 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1371,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47 = none_P277133687_r_l_v )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1372,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( ! [SY337: produc1156025366_r_l_v] :
( SV47
!= ( some_P1807977723_r_l_v @ SY337 ) ) )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1373,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 != SV135 )
| ( SV104 != SV154 ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1374,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ! [SV207: l] :
( ( SV53 @ SV207 )
= ( SV135 @ SV207 ) ) )
= $false )
| ( ( SV104 != SV154 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1316]) ).
thf(1375,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $false )
| ( ( SV104 != SV154 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1316]) ).
thf(1376,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 != SV136 )
| ( SV105 != SV155 ) )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1377,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ! [SV208: l] :
( ( SV55 @ SV208 )
= ( SV136 @ SV208 ) ) )
= $false )
| ( ( SV105 != SV155 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1319]) ).
thf(1378,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $false )
| ( ( SV105 != SV155 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1319]) ).
thf(1379,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 != SV137 )
| ( SV106 != SV156 ) )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1380,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ! [SV209: l] :
( ( SV56 @ SV209 )
= ( SV137 @ SV209 ) ) )
= $false )
| ( ( SV106 != SV156 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1322]) ).
thf(1381,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $false )
| ( ( SV106 != SV156 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1322]) ).
thf(1382,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( ! [SY582: expr_r_l_v] :
( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ SY582 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1383,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( ! [SV210: l] :
( ( SV109 @ SV210 )
= ( sK65_SY577 @ SV109 @ SV59 @ SV210 ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1325]) ).
thf(1384,plain,
! [SV59: produc1156025366_r_l_v,SV109: l > option_val_r_l_v] :
( ( ( SV109
= ( sK65_SY577 @ SV109 @ SV59 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1325]) ).
thf(1385,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( SV59
!= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ ( sK74_SY579 @ SV109 @ SV59 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1326]) ).
thf(1386,plain,
! [SV59: produc1156025366_r_l_v,SV211: l,SV109: l > option_val_r_l_v] :
( ( ( ( SV109 @ SV211 )
= ( sK60_SY570 @ SV109 @ SV59 @ SV211 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1387,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ! [SV212: r] :
( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV212 )
= ( SV7 @ SV212 ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1329]) ).
thf(1388,plain,
! [SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1329]) ).
thf(1389,plain,
! [SV213: r,SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV213 )
= ( SV7 @ SV213 ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 )
= SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1390,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1391,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1392,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1393,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1394,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1395,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1396,plain,
! [SV14: $o] :
( ( SV14 = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1397,plain,
! [SV14: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV14
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1398,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1399,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1400,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1401,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1402,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1403,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1404,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1405,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1406,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1407,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1408,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1409,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1410,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1411,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1412,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1413,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1414,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ~ ! [SY585: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK71_SY572 @ SV77 @ SV16 ) @ SY585 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1415,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY584: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK67_SY562 @ SV77 @ SV16 ) @ SY584 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1416,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1350]) ).
thf(1417,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV123 != SV164 )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1418,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $false )
| ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1419,plain,
! [SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v] :
( ( ( ! [SY490: produc1156025366_r_l_v,SY491: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ SY490 ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY491 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1420,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ! [SY587: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK75_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY587 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1355]) ).
thf(1421,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ! [SY588: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK76_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY588 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1356]) ).
thf(1422,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK72_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ ( sK77_SY586 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1357]) ).
thf(1423,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 != SV130 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1424,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 != SV151 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1425,plain,
! [SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 != SV151 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1359]) ).
thf(1426,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 = SV151 )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1427,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ none_P277133687_r_l_v )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1428,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1429,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1430,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1431,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1432,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1433,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( sK73_SY441 @ SV94 ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1434,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( some_P1807977723_r_l_v @ ( sK79_SY442 @ SV94 ) ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1367]) ).
thf(1435,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1368]) ).
thf(1436,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ( SV94 @ none_P277133687_r_l_v )
| ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1437,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47
!= ( some_P1807977723_r_l_v @ ( sK80_SY337 @ SV179 @ SV47 ) ) )
= $false )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1372]) ).
thf(1438,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 != SV135 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1439,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 != SV154 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1440,plain,
! [SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV154: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 != SV154 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1374]) ).
thf(1441,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 = SV154 )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1442,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 != SV136 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1443,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 != SV155 )
= $false )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1444,plain,
! [SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV155: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 != SV155 )
= $true )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1377]) ).
thf(1445,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 = SV155 )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1446,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 != SV137 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1447,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 != SV156 )
= $false )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1448,plain,
! [SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 != SV156 )
= $true )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1380]) ).
thf(1449,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 = SV156 )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1450,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( SV59
!= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ ( sK84_SY582 @ SV109 @ SV59 ) ) ) )
= $false )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1451,plain,
! [SV59: produc1156025366_r_l_v,SV214: l,SV109: l > option_val_r_l_v] :
( ( ( ( SV109 @ SV214 )
= ( sK65_SY577 @ SV109 @ SV59 @ SV214 ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1452,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( SV59
= ( produc297528454_r_l_v @ ( sK54_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK60_SY570 @ SV109 @ SV59 ) @ ( sK74_SY579 @ SV109 @ SV59 ) ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 )
= SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1453,plain,
! [SV215: r,SV115: option1457017436_r_l_v,SV68: r,SV7: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ SV215 )
= ( SV7 @ SV215 ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV7 @ SV68 @ SV115 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) )
= ( SV7 @ ( sK61_SV181 @ SV115 @ SV68 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1454,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1455,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1456,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1457,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1458,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1459,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1460,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1461,plain,
! [SV14: $o] :
( ( ( ~ SV14
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1462,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1463,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1464,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1465,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1466,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1467,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1468,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1469,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1470,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1471,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1472,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1473,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1474,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1475,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1476,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1477,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1478,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( ! [SY585: expr_r_l_v] :
( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK71_SY572 @ SV77 @ SV16 ) @ SY585 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1479,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( SV16
!= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK67_SY562 @ SV77 @ SV16 ) @ ( sK85_SY584 @ SV77 @ SV16 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1480,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1481,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 = SV164 )
= $false )
| ( ( SV146 = SV78 )
= $false )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1482,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1483,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ! [SY589: produc1156025366_r_l_v] :
( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK86_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ SY589 ) )
| ( SV85 @ SV27 @ SV127 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1419]) ).
thf(1484,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK75_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ ( sK87_SY587 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1420]) ).
thf(1485,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK76_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ ( sK88_SY588 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1421]) ).
thf(1486,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK72_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1487,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK77_SY586 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1488,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1489,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 = SV151 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1490,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 = SV151 )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1491,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1492,plain,
! [SV216: produc1156025366_r_l_v,SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ ( some_P1807977723_r_l_v @ SV216 ) )
= $true )
| ( ( SV93 @ ( sK49_SY439 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1493,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY439: option1457017436_r_l_v] : ( SV93 @ SY439 ) )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1494,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) ) )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1495,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( sK89_SY441 @ SV185 @ SV94 ) ) )
= $false )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1431]) ).
thf(1496,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1497,plain,
! [SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( some_P1807977723_r_l_v @ ( sK79_SY442 @ SV94 ) ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1498,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY441: option1457017436_r_l_v] :
~ ( SV94 @ SY441 ) )
= $false )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1499,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( ~ ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1500,plain,
! [SV179: produc1156025366_r_l_v,SV47: option1457017436_r_l_v] :
( ( ( SV47
= ( some_P1807977723_r_l_v @ ( sK80_SY337 @ SV179 @ SV47 ) ) )
= $true )
| ( ( SV47
= ( some_P1807977723_r_l_v @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1501,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1502,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 = SV154 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1503,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 = SV154 )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1504,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1505,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1506,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 = SV155 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1507,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 = SV155 )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( ~ ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1508,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1509,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1510,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 = SV156 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1511,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 = SV156 )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( ~ ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1512,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1513,plain,
! [SV109: l > option_val_r_l_v,SV59: produc1156025366_r_l_v] :
( ( ( SV59
= ( produc297528454_r_l_v @ ( sK59_SY470 @ SV109 @ SV59 ) @ ( produc1834103605_r_l_v @ ( sK65_SY577 @ SV109 @ SV59 ) @ ( sK84_SY582 @ SV109 @ SV59 ) ) ) )
= $true )
| ( ( ( lID_lo1265057957_l_r_v @ SV59 @ ( sK42_SV169 @ SV109 @ SV59 ) )
= ( SV109 @ ( sK42_SV169 @ SV109 @ SV59 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1514,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1515,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1516,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1517,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1518,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1519,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1520,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1521,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1522,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1523,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1524,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1525,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1526,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1527,plain,
! [SV14: $o] :
( ( ( ~ $false ) = $false )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1528,plain,
! [SV14: $o] :
( ( ( ~ SV14 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1529,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1530,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1531,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1532,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1533,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1534,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1535,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1536,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1537,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1538,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1539,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1540,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1541,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1542,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1543,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1544,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1545,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1546,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1547,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1548,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1549,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1550,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1551,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1552,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1553,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1554,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1555,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1556,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1557,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1558,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1559,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1560,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1561,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1562,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( SV16
!= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK71_SY572 @ SV77 @ SV16 ) @ ( sK90_SY585 @ SV77 @ SV16 ) ) ) )
= $false )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1478]) ).
thf(1563,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( SV16
= ( produc297528454_r_l_v @ ( sK45_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK67_SY562 @ SV77 @ SV16 ) @ ( sK85_SY584 @ SV77 @ SV16 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 )
= SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1564,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1565,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 != SV164 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1566,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1567,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ~ ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1568,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK86_SY490 @ SV85 @ SV127 @ SV27 ) ) )
| ( SV127
!= ( some_P1807977723_r_l_v @ ( sK91_SY589 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1483]) ).
thf(1569,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK75_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1570,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK87_SY587 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1571,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK76_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1572,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK88_SY588 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1573,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
= ( some_P1807977723_r_l_v @ ( sK72_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1574,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK77_SY586 @ SV127 @ SV85 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1575,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1576,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ! [SV217: l] :
( ( SV36 @ SV217 )
= ( SV130 @ SV217 ) ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1577,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1578,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
| ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1579,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1580,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1581,plain,
! [SV218: option1457017436_r_l_v,SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ SV218 )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1582,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v )
| ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1583,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( sK89_SY441 @ SV185 @ SV94 ) )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1584,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( some_P1807977723_r_l_v @ ( sK92_SY442 @ SV185 @ SV94 ) ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1496]) ).
thf(1585,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( sK93_SY441 @ SV189 @ SV94 ) ) )
= $false )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1498]) ).
thf(1586,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ! [SY442: produc1156025366_r_l_v] :
~ ( SV94 @ ( some_P1807977723_r_l_v @ SY442 ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1587,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ! [SV219: l] :
( ( SV53 @ SV219 )
= ( SV135 @ SV219 ) ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1501]) ).
thf(1588,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1501]) ).
thf(1589,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
| ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1590,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1591,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1592,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ! [SV220: l] :
( ( SV55 @ SV220 )
= ( SV136 @ SV220 ) ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1505]) ).
thf(1593,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1505]) ).
thf(1594,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
| ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1595,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1596,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1597,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ! [SV221: l] :
( ( SV56 @ SV221 )
= ( SV137 @ SV221 ) ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1598,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1599,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
| ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1600,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1601,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1602,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1603,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1604,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1605,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1606,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1607,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1608,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1609,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV14 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1610,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1611,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1612,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1613,plain,
! [SV14: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV14 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1614,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1615,plain,
! [SV14: $o] :
( ( $false = $true )
| ( SV14 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1616,plain,
! [SV14: $o] :
( ( SV14 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1617,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1618,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1619,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1620,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1621,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1622,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1623,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1624,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1625,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1626,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1627,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1628,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1629,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1630,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1631,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1632,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1633,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1634,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1635,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1636,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1637,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1638,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1639,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1640,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1641,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1642,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1643,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1644,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1645,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1646,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1647,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1648,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1649,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1650,plain,
! [SV77: l > option_val_r_l_v,SV16: produc1156025366_r_l_v] :
( ( ( SV16
= ( produc297528454_r_l_v @ ( sK55_SY400 @ SV77 @ SV16 ) @ ( produc1834103605_r_l_v @ ( sK71_SY572 @ SV77 @ SV16 ) @ ( sK90_SY585 @ SV77 @ SV16 ) ) ) )
= $true )
| ( ( ( lID_snapshot_l_r_v @ SV16 @ ( sK28_SV163 @ SV77 @ SV16 ) )
= ( SV77 @ ( sK28_SV163 @ SV77 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1651,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1652,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 = SV164 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1653,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1654,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1655,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1656,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
!= ( some_P1807977723_r_l_v @ ( sK86_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1657,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK91_SY589 @ SV127 @ SV85 @ SV27 ) ) )
| ( SV85 @ SV27 @ SV127 ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1658,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
= ( some_P1807977723_r_l_v @ ( sK75_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1659,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK87_SY587 @ SV127 @ SV85 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1660,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1661,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
= ( some_P1807977723_r_l_v @ ( sK76_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1662,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK88_SY588 @ SV127 @ SV85 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1663,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1664,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
= ( some_P1807977723_r_l_v @ ( sK77_SY586 @ SV127 @ SV85 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1665,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV222: l,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 @ SV222 )
= ( SV130 @ SV222 ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(1666,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
!= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1667,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1668,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1669,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1670,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV93 @ none_P277133687_r_l_v ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1671,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ~ ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $false )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1672,plain,
! [SV185: option1457017436_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( some_P1807977723_r_l_v @ ( sK92_SY442 @ SV185 @ SV94 ) ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1673,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( sK93_SY441 @ SV189 @ SV94 ) )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1674,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( ~ ( SV94 @ ( some_P1807977723_r_l_v @ ( sK94_SY442 @ SV189 @ SV94 ) ) ) )
= $false )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1586]) ).
thf(1675,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV223: l,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 @ SV223 )
= ( SV135 @ SV223 ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1676,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
!= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1677,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1678,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1679,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1680,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV224: l,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 @ SV224 )
= ( SV136 @ SV224 ) )
= $true )
| ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1681,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
!= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1682,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1683,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1684,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1685,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV225: l,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 @ SV225 )
= ( SV137 @ SV225 ) )
= $true )
| ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1686,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
!= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1687,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1688,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1689,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1690,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1691,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1692,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1693,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1694,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1695,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1696,plain,
! [SV127: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV27: option1457017436_r_l_v] :
( ( ( SV27
= ( some_P1807977723_r_l_v @ ( sK86_SY490 @ SV85 @ SV127 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1697,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
!= ( some_P1807977723_r_l_v @ ( sK91_SY589 @ SV127 @ SV85 @ SV27 ) ) )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1698,plain,
! [SV127: option1457017436_r_l_v,SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o] :
( ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1699,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
= ( some_P1807977723_r_l_v @ ( sK87_SY587 @ SV127 @ SV85 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1700,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
= ( some_P1807977723_r_l_v @ ( sK88_SY588 @ SV127 @ SV85 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1701,plain,
! [SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV91: produc1164766533_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV36 @ SV91 )
= ( produc297528454_r_l_v @ SV130 @ SV151 ) )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1702,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ~ ( ( SV36 != SV130 )
| ( SV91 != SV151 ) ) )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1703,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 != SV130 )
| ( SV91 != SV151 ) )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1704,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ none_P277133687_r_l_v )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1705,plain,
! [SV93: option1457017436_r_l_v > $o] :
( ( ( ! [SY440: produc1156025366_r_l_v] : ( SV93 @ ( some_P1807977723_r_l_v @ SY440 ) ) )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1706,plain,
! [SV189: produc1156025366_r_l_v,SV94: option1457017436_r_l_v > $o] :
( ( ( SV94 @ ( some_P1807977723_r_l_v @ ( sK94_SY442 @ SV189 @ SV94 ) ) )
= $true )
| ( ( SV94 @ none_P277133687_r_l_v )
= $true )
| ( ( SV94 @ ( some_P1807977723_r_l_v @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1707,plain,
! [SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV104: expr_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV53 @ SV104 )
= ( produc1834103605_r_l_v @ SV135 @ SV154 ) )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1708,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ~ ( ( SV53 != SV135 )
| ( SV104 != SV154 ) ) )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1709,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 != SV135 )
| ( SV104 != SV154 ) )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1710,plain,
! [SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV105: expr_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( produc1834103605_r_l_v @ SV55 @ SV105 )
= ( produc1834103605_r_l_v @ SV136 @ SV155 ) )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1711,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ~ ( ( SV55 != SV136 )
| ( SV105 != SV155 ) ) )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1712,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 != SV136 )
| ( SV105 != SV155 ) )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1713,plain,
! [SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV106: produc1164766533_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( produc297528454_r_l_v @ SV56 @ SV106 )
= ( produc297528454_r_l_v @ SV137 @ SV156 ) )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1714,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ~ ( ( SV56 != SV137 )
| ( SV106 != SV156 ) ) )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1715,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 != SV137 )
| ( SV106 != SV156 ) )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1716,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1717,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1718,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1719,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1720,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(1721,plain,
! [SV164: produc1156025366_r_l_v,SV146: r,SV123: produc1156025366_r_l_v,SV78: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1722,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
| ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1723,plain,
! [SV27: option1457017436_r_l_v,SV85: option1457017436_r_l_v > option1457017436_r_l_v > $o,SV127: option1457017436_r_l_v] :
( ( ( SV127
= ( some_P1807977723_r_l_v @ ( sK91_SY589 @ SV127 @ SV85 @ SV27 ) ) )
= $true )
| ( ( SV85 @ SV27 @ SV127 )
= $true )
| ( ( SV127 = none_P277133687_r_l_v )
= $true )
| ( ( SV27 = none_P277133687_r_l_v )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1724,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 != SV130 )
| ( SV91 != SV151 ) )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1725,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 != SV130 )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1726,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 != SV151 )
= $false )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1727,plain,
! [SV226: produc1156025366_r_l_v,SV93: option1457017436_r_l_v > $o] :
( ( ( SV93 @ ( some_P1807977723_r_l_v @ SV226 ) )
= $true )
| ( ( SV93 @ none_P277133687_r_l_v )
= $false )
| ( ( SV93 @ ( some_P1807977723_r_l_v @ ( sK68_SY440 @ SV93 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1728,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 != SV135 )
| ( SV104 != SV154 ) )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1729,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 != SV135 )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1730,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 != SV154 )
= $false )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1731,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 != SV136 )
| ( SV105 != SV155 ) )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1732,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 != SV136 )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1733,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 != SV155 )
= $false )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1734,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 != SV137 )
| ( SV106 != SV156 ) )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1735,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 != SV137 )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1736,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 != SV156 )
= $false )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1737,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1716]) ).
thf(1738,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1717]) ).
thf(1739,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1740,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1719]) ).
thf(1741,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1742,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 )
| ( SV123 != SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1722]) ).
thf(1743,plain,
! [SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 != SV130 )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1744,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 != SV151 )
= $false )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1745,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1746,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 = SV151 )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1747,plain,
! [SV104: expr_r_l_v,SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 != SV135 )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1748,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 != SV154 )
= $false )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1749,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1750,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 = SV154 )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1751,plain,
! [SV105: expr_r_l_v,SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 != SV136 )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1752,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 != SV155 )
= $false )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1753,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1754,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 = SV155 )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1755,plain,
! [SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 != SV137 )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1756,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 != SV156 )
= $false )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1757,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1758,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 = SV156 )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1759,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1760,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( fun_up709272714_r_l_v @ SV18 @ SV78 @ ( some_P1807977723_r_l_v @ SV123 ) @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1761,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1762,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 != SV164 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1763,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ( SV146 != SV78 )
| ( SV123 != SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1764,plain,
! [SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1765,plain,
! [SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v,SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v] :
( ( ( SV91 = SV151 )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1766,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ! [SV227: l] :
( ( SV36 @ SV227 )
= ( SV130 @ SV227 ) ) )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1745]) ).
thf(1767,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1745]) ).
thf(1768,plain,
! [SV104: expr_r_l_v,SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1769,plain,
! [SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v,SV154: expr_r_l_v,SV104: expr_r_l_v] :
( ( ( SV104 = SV154 )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1770,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ! [SV228: l] :
( ( SV53 @ SV228 )
= ( SV135 @ SV228 ) ) )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1749]) ).
thf(1771,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1749]) ).
thf(1772,plain,
! [SV105: expr_r_l_v,SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1773,plain,
! [SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v,SV155: expr_r_l_v,SV105: expr_r_l_v] :
( ( ( SV105 = SV155 )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(1774,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ! [SV229: l] :
( ( SV55 @ SV229 )
= ( SV136 @ SV229 ) ) )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1753]) ).
thf(1775,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1753]) ).
thf(1776,plain,
! [SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1777,plain,
! [SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v,SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v] :
( ( ( SV106 = SV156 )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1756]) ).
thf(1778,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ! [SV230: l] :
( ( SV56 @ SV230 )
= ( SV137 @ SV230 ) ) )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1757]) ).
thf(1779,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1757]) ).
thf(1780,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1781,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 = SV164 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1782,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1783,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 != SV164 )
= $false )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1784,plain,
! [SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( ! [SV231: l] :
( ( SV36 @ SV231 )
= ( SV130 @ SV231 ) ) )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1764]) ).
thf(1785,plain,
! [SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV36: l > option_val_r_l_v] :
( ( ( SV36 = SV130 )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1764]) ).
thf(1786,plain,
! [SV151: produc1164766533_r_l_v,SV91: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV232: l,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 @ SV232 )
= ( SV130 @ SV232 ) )
= $true )
| ( ( SV36 = SV130 )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(1787,plain,
! [SV104: expr_r_l_v,SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( ! [SV233: l] :
( ( SV53 @ SV233 )
= ( SV135 @ SV233 ) ) )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1768]) ).
thf(1788,plain,
! [SV104: expr_r_l_v,SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV53: l > option_val_r_l_v] :
( ( ( SV53 = SV135 )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1768]) ).
thf(1789,plain,
! [SV154: expr_r_l_v,SV104: expr_r_l_v,SV135: l > option_val_r_l_v,SV234: l,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 @ SV234 )
= ( SV135 @ SV234 ) )
= $true )
| ( ( SV53 = SV135 )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(1790,plain,
! [SV105: expr_r_l_v,SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( ! [SV235: l] :
( ( SV55 @ SV235 )
= ( SV136 @ SV235 ) ) )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1791,plain,
! [SV105: expr_r_l_v,SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV55: l > option_val_r_l_v] :
( ( ( SV55 = SV136 )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1792,plain,
! [SV155: expr_r_l_v,SV105: expr_r_l_v,SV136: l > option_val_r_l_v,SV236: l,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 @ SV236 )
= ( SV136 @ SV236 ) )
= $true )
| ( ( SV55 = SV136 )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(1793,plain,
! [SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( ! [SV237: l] :
( ( SV56 @ SV237 )
= ( SV137 @ SV237 ) ) )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1776]) ).
thf(1794,plain,
! [SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV56: l > option_val_r_l_v] :
( ( ( SV56 = SV137 )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1776]) ).
thf(1795,plain,
! [SV156: produc1164766533_r_l_v,SV106: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV238: l,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 @ SV238 )
= ( SV137 @ SV238 ) )
= $true )
| ( ( SV56 = SV137 )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(1796,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1797,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1798,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1799,plain,
! [SV18: r > option1457017436_r_l_v,SV78: r,SV146: r,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v] :
( ( ( SV123 = SV164 )
= $true )
| ( ( ~ ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1800,plain,
! [SV91: produc1164766533_r_l_v,SV151: produc1164766533_r_l_v,SV130: l > option_val_r_l_v,SV239: l,SV36: l > option_val_r_l_v] :
( ( ( ( SV36 @ SV239 )
= ( SV130 @ SV239 ) )
= $true )
| ( ( ( SV36 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) )
= ( SV130 @ ( sK78_SV206 @ SV151 @ SV91 @ SV130 @ SV36 ) ) )
= $false )
| ( ( SV91 = SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(1801,plain,
! [SV104: expr_r_l_v,SV154: expr_r_l_v,SV135: l > option_val_r_l_v,SV240: l,SV53: l > option_val_r_l_v] :
( ( ( ( SV53 @ SV240 )
= ( SV135 @ SV240 ) )
= $true )
| ( ( ( SV53 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) )
= ( SV135 @ ( sK81_SV207 @ SV154 @ SV104 @ SV135 @ SV53 ) ) )
= $false )
| ( ( SV104 = SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(1802,plain,
! [SV105: expr_r_l_v,SV155: expr_r_l_v,SV136: l > option_val_r_l_v,SV241: l,SV55: l > option_val_r_l_v] :
( ( ( ( SV55 @ SV241 )
= ( SV136 @ SV241 ) )
= $true )
| ( ( ( SV55 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) )
= ( SV136 @ ( sK82_SV208 @ SV155 @ SV105 @ SV136 @ SV55 ) ) )
= $false )
| ( ( SV105 = SV155 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(1803,plain,
! [SV106: produc1164766533_r_l_v,SV156: produc1164766533_r_l_v,SV137: l > option_val_r_l_v,SV242: l,SV56: l > option_val_r_l_v] :
( ( ( ( SV56 @ SV242 )
= ( SV137 @ SV242 ) )
= $true )
| ( ( ( SV56 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) )
= ( SV137 @ ( sK83_SV209 @ SV156 @ SV106 @ SV137 @ SV56 ) ) )
= $false )
| ( ( SV106 = SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1804,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1805,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1806,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1807,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1808,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1809,plain,
! [SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) )
| ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1810,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1811,plain,
! [SV123: produc1156025366_r_l_v,SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1812,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1813,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1814,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1815,plain,
! [SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1816,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( ~ ( ( SV146 != SV78 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1817,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
!= ( some_P1807977723_r_l_v @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1818,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1819,plain,
! [SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1820,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1821,plain,
! [SV78: r,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1822,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 != SV78 )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1823,plain,
! [SV78: r,SV123: produc1156025366_r_l_v,SV164: produc1156025366_r_l_v,SV146: r,SV18: r > option1457017436_r_l_v] :
( ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1824,plain,
! [SV164: produc1156025366_r_l_v,SV18: r > option1457017436_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV146 = SV78 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1825,plain,
! [SV18: r > option1457017436_r_l_v,SV164: produc1156025366_r_l_v,SV123: produc1156025366_r_l_v,SV78: r,SV146: r] :
( ( ( SV146 = SV78 )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( SV146 = SV78 )
= $true )
| ( ( ( SV18 @ SV146 )
= ( some_P1807977723_r_l_v @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1826,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[424,1825,1824,1823,1821,1819,1818,1813,1811,1803,1802,1801,1800,1795,1794,1792,1791,1789,1788,1786,1785,1779,1777,1775,1773,1771,1769,1767,1765,1760,1759,1758,1754,1750,1746,1740,1738,1727,1723,1721,1713,1710,1707,1706,1704,1701,1700,1699,1698,1696,1692,1688,1685,1683,1680,1678,1675,1673,1672,1668,1665,1664,1663,1661,1660,1658,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1632,1631,1630,1629,1628,1627,1626,1625,1624,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1612,1611,1610,1609,1608,1607,1606,1605,1604,1603,1602,1598,1593,1588,1583,1581,1577,1575,1573,1563,1513,1510,1506,1502,1500,1497,1492,1489,1453,1452,1451,1433,1427,1389,1388,1386,1384,1371,1370,1353,1349,1347,1333,1332,1330,1328,1323,1320,1317,1314,1310,1302,1299,1294,1288,1286,1271,1269,1248,1247,1231,1229,1228,1227,1226,1225,1220,1215,1214,1213,1212,1211,1209,1207,1205,1203,1202,1201,1200,1199,1197,1195,1193,1191,1190,1189,1188,1187,1185,1183,1181,1179,1174,1173,1172,1171,1160,1156,1145,1141,1139,1137,1097,1096,1095,1094,1089,1088,1087,1086,1076,1062,1060,1054,1051,1026,1018,1011,1004,1000,999,998,997,989,988,987,982,971,958,952,945,939,935,930,928,921,917,916,913,906,901,882,873,871,868,865,852,850,847,830,820,819,818,814,812,765,762,759,756,754,751,747,745,738,733,725,720,718,694,687,685,683,681,679,677,675,671,655,630,626,620,615,579,577,544,539]) ).
thf(1827,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP047^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n010.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 11:15:24 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.12/3.61 ..
% 20.12/3.61
% 20.12/3.61 No.of.Axioms: 62
% 20.12/3.61
% 20.12/3.61 Length.of.Defs: 0
% 20.12/3.61
% 20.12/3.61 Contains.Choice.Funs: false
% 20.12/3.61 .......................................
% 20.12/3.61
% 20.12/3.61 ********************************
% 20.12/3.61 * All subproblems solved! *
% 20.12/3.61 ********************************
% 20.12/3.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:62,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1826,loop_count:0,foatp_calls:1,translation:fof_full)
% 20.12/3.61
% 20.12/3.61 %**** Beginning of derivation protocol ****
% 20.12/3.61 % SZS output start CNFRefutation
% See solution above
% 20.12/3.63
% 20.12/3.63 %**** End of derivation protocol ****
% 20.12/3.63 %**** no. of clauses in derivation: 1532 ****
% 20.12/3.63 %**** clause counter: 1826 ****
% 20.12/3.63
% 20.12/3.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:62,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1826,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------